%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ042-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:21:12 AM UTC 2026
% Result : Unsatisfiable 88.59s 26.10s
% Output : Refutation 84.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 43
% Syntax : Number of formulae : 360 ( 95 unt; 0 typ; 0 def)
% Number of atoms : 1090 ( 332 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 24129 ( 597 ~; 456 |; 0 &;23076 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 25 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 3 con; 0-12 aty)
% Number of variables : 3949 ( 0 ^;3949 !; 0 ?;3949 :)
% Comments :
%------------------------------------------------------------------------------
thf(state_decl,type,
state: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(h_decl,type,
h: $i > $i > $i ).
thf(s_decl,type,
s: $i > $i ).
thf(o_decl,type,
o: $i ).
thf(bb_decl,type,
bb: $i > $i > $i ).
thf(e1_decl,type,
e1: $i > $i > $i ).
thf(e2_decl,type,
e2: $i > $i > $i ).
thf(s3_decl,type,
s3: $i > $i > $i ).
thf(v1_decl,type,
v1: $i > $i > $i ).
thf(v2_decl,type,
v2: $i > $i > $i ).
thf(v4_decl,type,
v4: $i > $i > $i ).
thf(s1_decl,type,
s1: $i > $i > $i ).
thf(v3_decl,type,
v3: $i > $i > $i ).
thf(s2_decl,type,
s2: $i > $i > $i ).
thf(s4_decl,type,
s4: $i > $i > $i ).
thf(13,axiom,
o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
thf(68,plain,
o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(17,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_left) ).
thf(75,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(76,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[75]) ).
thf(643,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,76]) ).
thf(644,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[643]) ).
thf(645,plain,
o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[644:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ s @ s @ s )),bind(J,$thf( o )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(18,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_left) ).
thf(77,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(78,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[77]) ).
thf(1061,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[645,78]) ).
thf(1062,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1061]) ).
thf(1063,plain,
o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1062:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ s @ s )),bind(K,$thf( o @ s )),bind(L,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(38,axiom,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',swap_blanks) ).
thf(117,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(118,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[117]) ).
thf(1132,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1063,118]) ).
thf(1133,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1132]) ).
thf(1134,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1133:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s @ s )),bind(L,$thf( o @ s @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s @ s ))]]) ).
thf(7,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_down) ).
thf(56,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(57,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[56]) ).
thf(1519,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1134,57]) ).
thf(1520,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1519]) ).
thf(1521,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1520:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s )),bind(F,$thf( o @ s @ s @ s )),bind(G,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(1648,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1521,118]) ).
thf(1649,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1648]) ).
thf(1650,plain,
o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1649:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o @ s @ s @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s ))]]) ).
thf(30,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ s @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ s @ ( A @ s @ e2 ) @ ( B @ s @ s @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_right) ).
thf(101,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ s @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ s @ ( A @ s @ e2 ) @ ( B @ s @ s @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(143,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,118]) ).
thf(144,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[143]) ).
thf(145,plain,
o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[144:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s @ s )),bind(L,$thf( o )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s @ s ))]]) ).
thf(1522,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[145,57]) ).
thf(1523,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1522]) ).
thf(1524,plain,
o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1523:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s )),bind(F,$thf( o @ s @ s @ s )),bind(G,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(11,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_right) ).
thf(64,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(65,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[64]) ).
thf(2987,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1524,65]) ).
thf(2988,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2987]) ).
thf(2989,plain,
o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2988:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s )),bind(G,$thf( o @ s )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(5798,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2989,118]) ).
thf(5799,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5798]) ).
thf(5800,plain,
o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5799:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o ))]]) ).
thf(22,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_down) ).
thf(85,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(86,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[85]) ).
thf(8315,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5800,86]) ).
thf(8316,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8315]) ).
thf(8317,plain,
o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8316:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ s @ s )),bind(E,$thf( o )),bind(F,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(G,$thf( o @ s @ s @ ( o @ s @ s @ h ) )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ ( o @ s @ s @ e2 ) ))]]) ).
thf(1,negated_conjecture,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
thf(44,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(45,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(2970,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[65,45]) ).
thf(2971,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2970]) ).
thf(2972,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2971:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ s @ s @ s )),bind(G,$thf( o )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J )),bind(U,$thf( K )),bind(V,$thf( o @ ( o @ s @ s @ s @ e1 ) )),bind(W,$thf( L ))]]) ).
thf(3069,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2972]) ).
thf(8670,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8317,3069]) ).
thf(8671,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8670]) ).
thf(8746,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) )
!= J )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ ( o @ s @ s @ e1 ) ) )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= I )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )
!= H )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[8671]) ).
thf(8784,plain,
( ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ ( o @ s @ s @ e1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[8746]) ).
thf(23,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_up) ).
thf(87,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(88,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[87]) ).
thf(14,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_right) ).
thf(69,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(37,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ s @ ( A @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_down) ).
thf(115,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ s @ ( A @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(9,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ s @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_right) ).
thf(60,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ s @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(61,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ s @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[60]) ).
thf(3143,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( H @ s @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[61,3069]) ).
thf(3144,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ s @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3143]) ).
thf(3145,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3144:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( o @ s @ s @ s )),bind(H,$thf( o @ s @ s )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),bind(R,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s1 ) )),bind(S,$thf( I )),bind(T,$thf( J )),bind(U,$thf( K )),bind(V,$thf( L ))]]) ).
thf(3285,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3145]) ).
thf(2958,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1521,65]) ).
thf(2959,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2958]) ).
thf(2960,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2959:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s )),bind(G,$thf( o @ s )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(4805,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2960,118]) ).
thf(4806,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4805]) ).
thf(4807,plain,
o @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4806:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s ))]]) ).
thf(70,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[69]) ).
thf(224,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[145,70]) ).
thf(225,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[224]) ).
thf(226,plain,
o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[225:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ s @ s )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(27,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_down) ).
thf(95,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(96,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[95]) ).
thf(3126,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[96,3069]) ).
thf(3127,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3126]) ).
thf(3128,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3127:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( o @ s @ s @ s )),bind(H,$thf( o @ s @ s )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),bind(R,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s1 ) )),bind(S,$thf( I )),bind(T,$thf( J )),bind(U,$thf( K )),bind(V,$thf( L ))]]) ).
thf(3282,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3128]) ).
thf(3525,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[226,3282]) ).
thf(3526,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3525]) ).
thf(3599,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) )
!= I )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= H )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )
!= G )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= F )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) )
!= ( o @ s @ ( o @ s @ s @ s @ s1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[3526]) ).
thf(3616,plain,
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) )
!= ( o @ s @ ( o @ s @ s @ s @ s1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[3599]) ).
thf(6457,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[86,3069]) ).
thf(6458,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6457]) ).
thf(6459,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( o @ s @ s @ ( o @ s @ s @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6458:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( o @ s @ s @ s )),bind(E,$thf( o @ s @ s )),bind(F,$thf( F )),bind(G,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ v3 ) )),bind(Q,$thf( F )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J )),bind(U,$thf( K )),bind(V,$thf( L ))]]) ).
thf(6647,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( o @ s @ s @ ( o @ s @ s @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6459]) ).
thf(6737,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( S @ ( o @ ( o @ s @ s @ s @ h ) @ ( R @ ( o @ s @ s @ ( o @ s @ s @ s @ v3 ) @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,6647]) ).
thf(6738,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( S @ ( o @ ( o @ s @ s @ s @ h ) @ ( R @ ( o @ s @ s @ ( o @ s @ s @ s @ v3 ) @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6737]) ).
thf(6739,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( o @ s @ s @ ( o @ s @ s @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6738:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( o @ s @ s @ ( o @ s @ s @ s @ v3 ) )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( ZQ )),bind(L,$thf( ZR )),bind(M,$thf( o @ s @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( E )),bind(S,$thf( G )),bind(T,$thf( H )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( ZR @ ( ZQ @ e2 ) ))]]) ).
thf(6894,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( o @ s @ s @ ( o @ s @ s @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[6739]) ).
thf(5,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ s @ ( F @ s @ e2 ) @ ( G @ ( F @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ s @ ( F @ e2 ) @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_up) ).
thf(52,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ s @ ( F @ s @ e2 ) @ ( G @ ( F @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ s @ ( F @ e2 ) @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_down) ).
thf(71,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(72,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[71]) ).
thf(3131,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[72,3069]) ).
thf(3132,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3131]) ).
thf(3133,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3132:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( o @ s @ s @ s )),bind(J,$thf( o @ s @ s )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),bind(R,$thf( G )),bind(S,$thf( H )),bind(T,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(U,$thf( K )),bind(V,$thf( L ))]]) ).
thf(3283,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3133]) ).
thf(4021,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1063,3283]) ).
thf(4022,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( H @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4021]) ).
thf(4098,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) )
!= I )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= H )
| ( ( o @ ( o @ s @ s @ s @ s @ s3 ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) ) )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[4022]) ).
thf(4151,plain,
( ( ( o @ ( o @ s @ s @ s @ s @ s3 ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[4098]) ).
thf(42,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ s @ ( C @ s @ e2 ) @ ( D @ s @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ s @ e2 ) @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_left) ).
thf(125,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ s @ ( C @ s @ e2 ) @ ( D @ s @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ ( C @ s @ e2 ) @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(2,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ ( A @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_up) ).
thf(46,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ ( A @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(26,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ s @ ( D @ s @ e2 ) @ ( E @ s @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( E @ ( D @ s @ e2 ) @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_left) ).
thf(93,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ s @ ( D @ s @ e2 ) @ ( E @ s @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( E @ ( D @ s @ e2 ) @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(1302,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[645,96]) ).
thf(1303,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1302]) ).
thf(1304,plain,
o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1303:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ s @ s )),bind(H,$thf( o @ s )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(2518,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1304,118]) ).
thf(2519,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2518]) ).
thf(2520,plain,
o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2519:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s @ s ))]]) ).
thf(47,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ ( A @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[46]) ).
thf(158,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ s @ ( A @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,47]) ).
thf(159,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ s @ ( A @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[158]) ).
thf(160,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ s @ ( A @ e2 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( K
!= ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) ) )
| ( J
!= ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) ) )
| ( I
!= ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) ) )
| ( H
!= ( o @ s @ ( o @ s @ s @ s @ s1 ) ) )
| ( G
!= ( o @ s @ ( o @ s @ s @ h ) ) )
| ( F
!= ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) ) )
| ( E
!= ( o @ ( o @ s @ s @ v3 ) ) )
| ( D
!= ( o @ s @ s @ s @ ( o @ v2 ) ) )
| ( C
!= ( o @ ( o @ v1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) )
| ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[159]) ).
thf(161,plain,
! [B: $i,A: $i] :
( ( ( B @ s @ ( A @ e2 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) )
| ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[160]) ).
thf(269,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( ( B @ s @ ( A @ e2 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(paramod_ordered,[status(thm)],[161,45]) ).
thf(270,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( B @ s @ ( A @ e2 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[269]) ).
thf(278,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( B @ s )
!= ( o @ s @ s @ s ) )
| ( A
!= ( o @ s @ s @ s @ s ) )
| ( B != o )
| ( A
!= ( o @ s @ s @ s @ s ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[270]) ).
thf(310,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( o @ s @ s @ s )
!= ( o @ s ) )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[278]) ).
thf(827,plain,
( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ( ( o @ s @ s @ s )
!= ( o @ s ) )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(rewrite,[status(thm)],[310,45]) ).
thf(850,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( ( o @ s @ s @ s )
!= ( o @ s ) )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(paramod_ordered,[status(thm)],[827,45]) ).
thf(851,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( o @ s @ s @ s )
!= ( o @ s ) )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[850]) ).
thf(883,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( o @ s @ s )
!= o )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[851]) ).
thf(2158,plain,
( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ( ( o @ s @ s )
!= o )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(rewrite,[status(thm)],[883,45]) ).
thf(3518,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,3282]) ).
thf(3519,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3518]) ).
thf(3520,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3519:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( o @ s @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( ZP )),bind(L,$thf( ZQ )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( H )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( ZQ @ ( ZP @ e2 ) ))]]) ).
thf(3621,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3520]) ).
thf(40,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_right) ).
thf(121,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(21,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_left) ).
thf(83,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(84,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[83]) ).
thf(129,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,45]) ).
thf(130,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(131,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) )
!= K )
| ( ( o @ ( o @ s @ s @ s @ s @ e1 ) )
!= J )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= I )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )
!= H )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ s @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[130]) ).
thf(132,plain,
( ( o @ s @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) ),
inference(simp,[status(thm)],[131]) ).
thf(24,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_up) ).
thf(89,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(343,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[226,118]) ).
thf(344,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[343]) ).
thf(345,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[344:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s @ s )),bind(L,$thf( o @ s @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o ))]]) ).
thf(625,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[345,76]) ).
thf(626,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[625]) ).
thf(627,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[626:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ s @ s @ s )),bind(J,$thf( o )),bind(K,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(1343,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[627,96]) ).
thf(1344,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1343]) ).
thf(1345,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1344:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ s @ s )),bind(H,$thf( o @ s )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(16,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_up) ).
thf(73,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(74,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[73]) ).
thf(19,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ s @ e2 ) @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ s @ ( C @ s @ e2 ) @ ( D @ s @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_right) ).
thf(79,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ s @ e2 ) @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ s @ ( C @ s @ e2 ) @ ( D @ s @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(80,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ s @ e2 ) @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ s @ ( C @ s @ e2 ) @ ( D @ s @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[79]) ).
thf(3161,plain,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( X @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( W @ ( V @ ( U @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,3069]) ).
thf(3162,plain,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( X @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( W @ ( V @ ( U @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3161]) ).
thf(3163,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( K @ ( J @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3162:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( ZI )),bind(L,$thf( ZJ )),bind(M,$thf( o @ s @ s @ s )),bind(N,$thf( o @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( J )),bind(X,$thf( ZJ @ ( ZI @ e2 ) ))]]) ).
thf(3287,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( K @ ( J @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3163]) ).
thf(4987,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ s @ e2 ) @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( V @ ( U @ e1 ) @ ( T @ ( S @ ( R @ ( Q @ ( o @ ( o @ s @ s @ s @ h ) @ ( P @ ( O @ ( N @ ( M @ ( L @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( D @ s @ ( C @ s @ e2 ) @ ( D @ s @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[80,3287]) ).
thf(4988,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ s @ e2 ) @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( V @ ( U @ e1 ) @ ( T @ ( S @ ( R @ ( Q @ ( o @ ( o @ s @ s @ s @ h ) @ ( P @ ( O @ ( N @ ( M @ ( L @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( D @ s @ ( C @ s @ e2 ) @ ( D @ s @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4987]) ).
thf(4989,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( o @ s @ s @ ( o @ s @ s @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4988:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( o @ s @ s )),bind(D,$thf( o @ s @ s )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( A )),bind(M,$thf( B )),bind(N,$thf( o @ s @ s @ s @ ( o @ s @ s @ v2 ) )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( H )),bind(R,$thf( I )),bind(S,$thf( J )),bind(T,$thf( K )),bind(U,$thf( o @ s @ s )),bind(V,$thf( o @ s @ s ))]]) ).
thf(5174,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( o @ s @ s @ ( o @ s @ s @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4989]) ).
thf(703,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[645,118]) ).
thf(704,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[703]) ).
thf(705,plain,
o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[704:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s @ s ))]]) ).
thf(1470,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[705,57]) ).
thf(1471,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1470]) ).
thf(1472,plain,
o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1471:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s )),bind(F,$thf( o @ s @ s @ s )),bind(G,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(1585,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1472,118]) ).
thf(1586,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1585]) ).
thf(1587,plain,
o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1586:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o @ s @ s @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s ))]]) ).
thf(1772,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1587,96]) ).
thf(1773,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1772]) ).
thf(1774,plain,
o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1773:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ s @ s )),bind(H,$thf( o @ s )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ s @ s @ ( o @ s @ s @ e2 ) ))]]) ).
thf(2116,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1774,118]) ).
thf(2117,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2116]) ).
thf(2118,plain,
o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2117:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s )),bind(N,$thf( o @ s @ s @ s ))]]) ).
thf(102,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ s @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ s @ s @ ( A @ s @ e2 ) @ ( B @ s @ s @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[101]) ).
thf(2904,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2118,65]) ).
thf(2905,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2904]) ).
thf(2906,plain,
o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2905:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s )),bind(G,$thf( o @ s )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ ( o @ s @ s @ s @ e2 ) ))]]) ).
thf(3685,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2906,45]) ).
thf(3686,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( o @ s @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3685]) ).
thf(3722,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) )
!= K )
| ( ( o @ s @ ( o @ s @ s @ e1 ) )
!= J )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= I )
| ( ( o @ ( o @ s @ s @ s @ s @ s3 ) )
!= H )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ s @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[3686]) ).
thf(3735,plain,
( ( o @ s @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) ),
inference(simp,[status(thm)],[3722]) ).
thf(4066,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( U @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,3283]) ).
thf(4067,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( U @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4066]) ).
thf(4068,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4067:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s3 ) )),bind(J,$thf( J )),bind(K,$thf( ZP )),bind(L,$thf( ZQ )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( J )),bind(W,$thf( ZQ @ ( ZP @ e2 ) ))]]) ).
thf(4204,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( o @ s @ s @ ( o @ s @ s @ s @ s3 ) @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4068]) ).
thf(3150,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[70,3069]) ).
thf(3151,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3150]) ).
thf(3152,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s4 ) @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3151:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( o @ s @ s @ s )),bind(K,$thf( o @ s @ s )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),bind(R,$thf( G )),bind(S,$thf( H )),bind(T,$thf( I )),bind(U,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s4 ) )),bind(V,$thf( L ))]]) ).
thf(3286,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s4 ) @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3152]) ).
thf(28,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ s @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ s @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_right) ).
thf(97,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ s @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ s @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(25,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_up) ).
thf(91,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(92,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( E @ ( D @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[91]) ).
thf(53,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ s @ ( F @ s @ e2 ) @ ( G @ ( F @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ s @ ( F @ e2 ) @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(34,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ s @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_left) ).
thf(109,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ s @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(4,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_down) ).
thf(50,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(51,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[50]) ).
thf(8724,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8317,51]) ).
thf(8725,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8724]) ).
thf(8726,plain,
o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8725:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o )),bind(C,$thf( o )),bind(D,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(E,$thf( o @ ( o @ s @ s @ s @ v3 ) )),bind(F,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(G,$thf( o @ s @ s @ ( o @ s @ s @ h ) )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ ( o @ s @ s @ e2 ) ))]]) ).
thf(9505,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8726,3069]) ).
thf(9506,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9505]) ).
thf(9593,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) )
!= J )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ ( o @ e1 ) ) )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= I )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )
!= H )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ s @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[9506]) ).
thf(9645,plain,
( ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ ( o @ e1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[9593]) ).
thf(133,plain,
( ( ( o @ s )
!= ( o @ s ) )
| ( ( o @ s @ s @ s )
!= ( o @ s @ s ) ) ),
inference(simp,[status(thm)],[132]) ).
thf(134,plain,
( ( o @ s @ s @ s )
!= ( o @ s @ s ) ),
inference(simp,[status(thm)],[133]) ).
thf(32,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ s @ ( F @ e2 ) @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ s @ ( F @ s @ e2 ) @ ( G @ ( F @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_down) ).
thf(105,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ s @ ( F @ e2 ) @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( G @ s @ ( F @ s @ e2 ) @ ( G @ ( F @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(660,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[627,118]) ).
thf(661,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[660]) ).
thf(662,plain,
o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[661:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s ))]]) ).
thf(98,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ s @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ s @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[97]) ).
thf(9722,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ s @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( I @ s @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[98,3069]) ).
thf(9723,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ s @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ s @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9722]) ).
thf(9724,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9723:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( o @ s @ s @ s )),bind(I,$thf( o @ s @ s )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( E )),bind(R,$thf( G )),bind(S,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(T,$thf( J )),bind(U,$thf( K )),bind(V,$thf( L ))]]) ).
thf(10028,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9724]) ).
thf(10128,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8726,10028]) ).
thf(10129,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10128]) ).
thf(10142,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) )
!= I )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ ( o @ e1 ) ) )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= H )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )
!= G )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) ) )
| ( ( o @ s @ ( o @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ s @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[10129]) ).
thf(10204,plain,
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ ( o @ e1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[10142]) ).
thf(11589,plain,
( ( ( o @ s @ s @ s )
!= o )
| ( ( o @ s @ s @ s )
!= o )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[10204]) ).
thf(11591,plain,
( ( ( o @ s @ s @ s )
!= o )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[11589]) ).
thf(4252,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,3285]) ).
thf(4253,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4252]) ).
thf(4254,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4253:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( o @ s @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( ZP )),bind(L,$thf( ZQ )),bind(M,$thf( o @ s @ s @ s )),bind(N,$thf( o @ s @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( H )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( ZQ @ ( ZP @ e2 ) ))]]) ).
thf(4340,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( o @ s @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4254]) ).
thf(3189,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,3069]) ).
thf(3190,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3189]) ).
thf(3214,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) )
!= J )
| ( ( o @ ( o @ s @ s @ s @ s @ e1 ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) ) )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= I )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )
!= H )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[3190]) ).
thf(3255,plain,
( ( ( o @ ( o @ s @ s @ s @ s @ e1 ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[3214]) ).
thf(5758,plain,
( ( ( o @ s @ s )
!= o )
| ( ( o @ s @ s @ s @ s )
!= ( o @ s @ s @ s ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[3255]) ).
thf(29,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_right) ).
thf(99,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(100,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[99]) ).
thf(10827,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( V @ ( U @ e1 ) @ ( T @ ( S @ ( R @ ( Q @ ( o @ ( o @ s @ s @ s @ h ) @ ( P @ ( O @ ( N @ ( M @ ( L @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[100,3287]) ).
thf(10828,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( V @ ( U @ e1 ) @ ( T @ ( S @ ( R @ ( Q @ ( o @ ( o @ s @ s @ s @ h ) @ ( P @ ( O @ ( N @ ( M @ ( L @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10827]) ).
thf(10829,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10828:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( o @ s @ s )),bind(F,$thf( o @ s @ s )),bind(G,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( A )),bind(M,$thf( B )),bind(N,$thf( C )),bind(O,$thf( D )),bind(P,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(Q,$thf( H )),bind(R,$thf( I )),bind(S,$thf( J )),bind(T,$thf( K )),bind(U,$thf( o @ s @ s )),bind(V,$thf( o @ s @ s ))]]) ).
thf(11016,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10829]) ).
thf(2186,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( ( o @ s @ s )
!= o )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(paramod_ordered,[status(thm)],[2158,118]) ).
thf(2187,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ( ( o @ s @ s )
!= o )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[2186]) ).
thf(2188,plain,
( ( o @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ ( o @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ( ( o @ s @ s )
!= o )
| ( ( o @ ( o @ s @ s @ s @ s @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(pattern_uni,[status(thm)],[2187:[bind(A,$thf( o @ ( o @ s @ s @ s @ s @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s @ s @ s @ s )),bind(L,$thf( o )),bind(M,$thf( o @ s @ s @ s @ s @ s @ s )),bind(N,$thf( o @ s ))]]) ).
thf(9529,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8726,118]) ).
thf(9530,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[9529]) ).
thf(9531,plain,
o @ ( o @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ s @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[9530:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ s @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o )),bind(L,$thf( o )),bind(M,$thf( o @ s @ s )),bind(N,$thf( o @ s ))]]) ).
thf(8695,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8317,118]) ).
thf(8696,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[8695]) ).
thf(8697,plain,
o @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[8696:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o )),bind(M,$thf( o @ s @ s )),bind(N,$thf( o @ s ))]]) ).
thf(8,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_left) ).
thf(58,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(59,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ s @ ( E @ s @ e2 ) @ ( F @ s @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( F @ ( E @ s @ e2 ) @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ s @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[58]) ).
thf(6,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( D @ ( C @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_up) ).
thf(54,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( D @ ( C @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3677,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2906,3069]) ).
thf(3678,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3677]) ).
thf(3713,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) )
!= J )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ s @ ( o @ s @ s @ e1 ) ) )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= I )
| ( ( o @ ( o @ s @ s @ s @ s @ s3 ) )
!= H )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[3678]) ).
thf(3726,plain,
( ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ s @ ( o @ s @ s @ e1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[3713]) ).
thf(10072,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,10028]) ).
thf(10073,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10072]) ).
thf(10074,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10073:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( ZP )),bind(L,$thf( ZQ )),bind(M,$thf( o @ s @ s @ s )),bind(N,$thf( o @ s @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( G )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( ZQ @ ( ZP @ e2 ) ))]]) ).
thf(10257,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[10074]) ).
thf(3,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_up) ).
thf(48,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(49,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( J @ ( I @ s @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[48]) ).
thf(36,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ e1 ) @ ( K @ ( J @ s @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ s @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_down) ).
thf(113,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ e1 ) @ ( K @ ( J @ s @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ s @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(20,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ s @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ e1 ) @ ( K @ ( J @ s @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_up) ).
thf(81,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ s @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ e1 ) @ ( K @ ( J @ s @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(3184,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[51,3069]) ).
thf(3185,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3184]) ).
thf(3186,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( B @ ( o @ s @ s @ ( o @ s @ s @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3185:[bind(A,$thf( A )),bind(B,$thf( o @ s @ s @ s )),bind(C,$thf( o @ s @ s )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ v1 ) )),bind(O,$thf( D )),bind(P,$thf( E )),bind(Q,$thf( F )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J )),bind(U,$thf( K )),bind(V,$thf( L ))]]) ).
thf(3288,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( B @ ( o @ s @ s @ ( o @ s @ s @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3186]) ).
thf(5217,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( S @ ( o @ ( o @ s @ s @ s @ h ) @ ( R @ ( Q @ ( P @ ( o @ s @ s @ ( o @ s @ s @ s @ v1 ) @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,3288]) ).
thf(5218,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( S @ ( o @ ( o @ s @ s @ s @ h ) @ ( R @ ( Q @ ( P @ ( o @ s @ s @ ( o @ s @ s @ s @ v1 ) @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5217]) ).
thf(5219,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( B @ ( o @ s @ s @ ( o @ s @ s @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[5218:[bind(A,$thf( A )),bind(B,$thf( o @ s @ s @ ( o @ s @ s @ s @ v1 ) )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( ZQ )),bind(L,$thf( ZR )),bind(M,$thf( o @ s @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s )),bind(O,$thf( A )),bind(P,$thf( C )),bind(Q,$thf( D )),bind(R,$thf( E )),bind(S,$thf( G )),bind(T,$thf( H )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( ZR @ ( ZQ @ e2 ) ))]]) ).
thf(5367,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( B @ ( o @ s @ s @ ( o @ s @ s @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[5219]) ).
thf(31,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( D @ ( C @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_down) ).
thf(103,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( D @ ( C @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(12,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_right) ).
thf(66,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(135,plain,
( ( o @ s @ s )
!= ( o @ s ) ),
inference(simp,[status(thm)],[134]) ).
thf(41,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ s @ s @ ( A @ s @ e2 ) @ ( B @ s @ s @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ ( A @ s @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_left) ).
thf(123,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ s @ s @ ( A @ s @ e2 ) @ ( B @ s @ s @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( B @ ( A @ s @ e2 ) @ ( B @ ( A @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(10,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_left) ).
thf(62,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(63,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[62]) ).
thf(67,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[66]) ).
thf(3689,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2906,118]) ).
thf(3690,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3689]) ).
thf(3691,plain,
o @ s @ ( o @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3690:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s @ s )),bind(N,$thf( o @ s ))]]) ).
thf(43,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ ( H @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_down) ).
thf(127,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ ( H @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(3140,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[57,3069]) ).
thf(3141,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( F @ ( E @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( V @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( U @ ( T @ ( S @ ( R @ ( o @ ( o @ s @ s @ s @ h ) @ ( Q @ ( P @ ( O @ ( N @ ( M @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( F @ ( E @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3140]) ).
thf(3142,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3141:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( o @ s @ s @ s )),bind(F,$thf( o @ s @ s )),bind(G,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( A )),bind(N,$thf( B )),bind(O,$thf( C )),bind(P,$thf( D )),bind(Q,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ v4 ) )),bind(R,$thf( H )),bind(S,$thf( I )),bind(T,$thf( J )),bind(U,$thf( K )),bind(V,$thf( L ))]]) ).
thf(3284,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( I @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3142]) ).
thf(3849,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( V @ ( U @ e1 ) @ ( T @ ( S @ ( R @ ( Q @ ( o @ ( o @ s @ s @ s @ h ) @ ( P @ ( O @ ( N @ ( M @ ( L @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[67,3287]) ).
thf(3850,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ s @ e2 ) @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( o @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( V @ ( U @ e1 ) @ ( T @ ( S @ ( R @ ( Q @ ( o @ ( o @ s @ s @ s @ h ) @ ( P @ ( O @ ( N @ ( M @ ( L @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( C @ s @ ( B @ s @ e2 ) @ ( C @ s @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3849]) ).
thf(3851,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( B @ ( o @ s @ s @ ( o @ s @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3850:[bind(A,$thf( A )),bind(B,$thf( o @ s @ s )),bind(C,$thf( o @ s @ s )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( A )),bind(M,$thf( o @ s @ s @ s @ ( o @ s @ s @ v1 ) )),bind(N,$thf( D )),bind(O,$thf( E )),bind(P,$thf( F )),bind(Q,$thf( H )),bind(R,$thf( I )),bind(S,$thf( J )),bind(T,$thf( K )),bind(U,$thf( o @ s @ s )),bind(V,$thf( o @ s @ s ))]]) ).
thf(3946,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( D @ ( C @ ( B @ ( o @ s @ s @ ( o @ s @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3851]) ).
thf(4440,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s4 ) @ ( V @ ( U @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,3286]) ).
thf(4441,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s4 ) @ ( V @ ( U @ ( T @ ( o @ ( o @ s @ s @ s @ h ) @ ( S @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4440]) ).
thf(4442,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s4 ) @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4441:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s4 ) )),bind(K,$thf( ZP )),bind(L,$thf( ZQ )),bind(M,$thf( o @ s @ s @ s )),bind(N,$thf( o @ s @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( E )),bind(T,$thf( G )),bind(U,$thf( H )),bind(V,$thf( I )),bind(W,$thf( ZQ @ ( ZP @ e2 ) ))]]) ).
thf(4574,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ s @ ( o @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s4 ) @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4442]) ).
thf(2589,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1345,118]) ).
thf(2590,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[2589]) ).
thf(2591,plain,
o @ s @ ( o @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2590:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s @ s )),bind(L,$thf( o @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s ))]]) ).
thf(55,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( D @ ( C @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( D @ ( C @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ s @ v2 ) @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[54]) ).
thf(3001,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1472,65]) ).
thf(3002,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( G @ s @ s @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( G @ ( F @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ ( F @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3001]) ).
thf(3003,plain,
o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3002:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ s )),bind(G,$thf( o @ s )),bind(H,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(I,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(J,$thf( o @ ( o @ s @ s @ s @ s @ s3 ) )),bind(K,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(L,$thf( o @ s @ ( o @ s @ s @ s @ s @ e2 ) ))]]) ).
thf(3146,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1345,3069]) ).
thf(3147,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( J @ ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) @ ( I @ ( H @ ( G @ ( F @ ( o @ ( o @ s @ s @ s @ h ) @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[3146]) ).
thf(3211,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) )
!= J )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ s @ ( o @ s @ s @ s @ e1 ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= I )
| ( ( o @ ( o @ s @ s @ s @ s @ s3 ) )
!= H )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= G )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s1 ) )
!= F )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )
!= E )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= D )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= C )
| ( ( o @ ( o @ v1 ) )
!= B )
| ( ( o @ s @ ( o @ bb ) )
!= A ) ),
inference(simp,[status(thm)],[3147]) ).
thf(3252,plain,
( ( ( o @ s @ s @ ( o @ s @ s @ s @ e1 ) )
!= ( o @ s @ ( o @ s @ s @ s @ e1 ) ) )
| ( ( o @ ( o @ s @ s @ s @ h ) )
!= ( o @ s @ ( o @ s @ s @ h ) ) ) ),
inference(simp,[status(thm)],[3211]) ).
thf(82,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( K @ ( J @ s @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( K @ ( J @ e1 ) @ ( K @ ( J @ s @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[81]) ).
thf(39,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ s @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ s @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_left) ).
thf(119,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( I @ s @ ( H @ e1 ) @ ( K @ ( J @ ( I @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( I @ ( H @ e1 ) @ ( K @ ( J @ ( I @ s @ ( H @ s2 ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(33,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ s @ e2 ) @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( E @ s @ ( D @ s @ e2 ) @ ( E @ s @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_right) ).
thf(107,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ s @ e2 ) @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( E @ s @ ( D @ s @ e2 ) @ ( E @ s @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(136,plain,
( ( o @ s )
!= o ),
inference(simp,[status(thm)],[135]) ).
thf(94,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ s @ ( D @ s @ e2 ) @ ( E @ s @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( E @ ( D @ s @ e2 ) @ ( E @ ( D @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ s @ ( D @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[93]) ).
thf(4625,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( S @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[118,3284]) ).
thf(4626,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( W @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e1 ) @ ( V @ ( U @ ( T @ ( S @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( R @ ( Q @ ( P @ ( O @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4625]) ).
thf(4627,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4626:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( o @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ ( o @ s @ s @ s @ h ) )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( ZQ )),bind(L,$thf( ZR )),bind(M,$thf( o @ s @ s @ s @ s @ s )),bind(N,$thf( o @ s @ s )),bind(O,$thf( A )),bind(P,$thf( B )),bind(Q,$thf( C )),bind(R,$thf( D )),bind(S,$thf( G )),bind(T,$thf( H )),bind(U,$thf( I )),bind(V,$thf( J )),bind(W,$thf( ZR @ ( ZQ @ e2 ) ))]]) ).
thf(4713,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ e2 ) @ ( J @ ( I @ e1 ) @ ( H @ ( G @ ( F @ ( E @ ( o @ ( o @ s @ s @ s @ h ) @ ( o @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[4627]) ).
thf(1711,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1524,118]) ).
thf(1712,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[1711]) ).
thf(1713,plain,
o @ s @ s @ s @ ( o @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1712:[bind(A,$thf( o @ s @ ( o @ bb ) )),bind(B,$thf( o @ ( o @ v1 ) )),bind(C,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(D,$thf( o @ ( o @ s @ s @ v3 ) )),bind(E,$thf( o @ s @ s @ s @ ( o @ s @ s @ s @ v4 ) )),bind(F,$thf( o @ s @ ( o @ s @ s @ h ) )),bind(G,$thf( o @ s @ ( o @ s @ s @ s @ s1 ) )),bind(H,$thf( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )),bind(I,$thf( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )),bind(J,$thf( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )),bind(K,$thf( o @ s @ s )),bind(L,$thf( o @ s @ s @ s )),bind(M,$thf( o @ s @ s @ s @ s )),bind(N,$thf( o ))]]) ).
thf(90,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( C @ ( B @ s @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( C @ ( B @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ s @ v1 ) @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[89]) ).
thf(35,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_up) ).
thf(111,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( L @ ( H @ ( G @ s @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( L @ ( H @ ( G @ e1 ) @ ( K @ ( J @ ( I @ ( H @ ( G @ s @ s1 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(14303,plain,
$false,
inference(e,[status(thm)],[1650,101,8784,88,645,69,115,3285,4807,56,3616,1063,6894,52,4151,125,46,93,2520,2158,57,2989,78,3621,121,84,61,132,89,1345,1521,74,5174,85,2118,102,60,117,3735,70,3069,4204,3286,65,97,3282,92,1587,53,109,77,9645,96,134,73,105,6647,662,11591,161,64,4340,5758,45,11016,3255,44,2188,3283,9531,8697,59,118,71,54,3726,10257,49,86,113,10204,2906,76,98,3287,81,1524,5367,345,103,91,66,827,135,226,80,1304,1134,145,123,1472,48,63,705,95,50,67,3691,127,10028,8317,72,3288,3284,3946,627,99,87,2960,4574,2591,5800,55,3003,3252,75,82,119,58,1774,51,8726,107,136,79,94,47,4713,62,1713,68,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.16/0.41 % Computer : n013.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 05:07:21 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.87/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.41/1.25 % [INFO] Parsing done (246ms).
% 1.41/1.26 % [INFO] Running in sequential loop mode.
% 2.21/1.66 % [INFO] eprover registered as external prover.
% 2.21/1.67 % [INFO] Scanning for conjecture ...
% 2.41/1.79 % [INFO] Found a conjecture (or negated_conjecture) and 42 axioms. Running axiom selection ...
% 2.83/1.90 % [INFO] Axiom selection finished. Selected 42 axioms (removed 0 axioms).
% 2.83/2.00 % [INFO] Problem is propositional (TPTP CNF).
% 2.83/2.01 % [INFO] Type checking passed.
% 2.83/2.01 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 88.59/26.09 % External prover 'e' found a proof!
% 88.59/26.09 % [INFO] Killing All external provers ...
% 88.59/26.10 % Time passed: 25541ms (effective reasoning time: 24825ms)
% 88.59/26.10 % Axioms used in derivation (42): v1_down, s2_right, v4_up, v3_left, v1_up, v2_down, s3_left, v2_left, s4_up, s4_left, b_up, s1_left, v3_right, v2_up, b_right, s3_down, v3_down, h_right, s2_down, s1_right, s1_up, v2_right, h_left, s1_down, b_left, h_up, v4_right, s3_right, v1_right, s2_up, h_down, v1_left, initial_state, v3_up, v4_down, v4_left, s3_up, s4_right, s2_left, swap_blanks, s4_down, b_down
% 88.59/26.10 % No. of inferences in proof: 360
% 88.59/26.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 25541 ms resp. 24825 ms w/o parsing
% 84.82/26.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 84.82/26.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------