%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 44.06s 11.93s
% Output : Refutation 45.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 43
% Syntax : Number of formulae : 147 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 398 ( 100 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 8398 ( 212 ~; 199 |; 0 &;7987 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 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 : 1532 ( 0 ^;1532 !; 0 ?;1532 :)
% Comments :
%------------------------------------------------------------------------------
thf(state_decl,type,
state: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(bb_decl,type,
bb: $i > $i > $i ).
thf(o_decl,type,
o: $i ).
thf(s_decl,type,
s: $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(h_decl,type,
h: $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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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/sandbox2/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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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/sandbox2/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(558,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(559,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[558]) ).
thf(560,plain,
o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[559:[bind(A,$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(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/sandbox2/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(690,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)],[560,118]) ).
thf(691,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: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[690]) ).
thf(692,plain,
o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[691:[bind(A,$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(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 @ ( E @ ( D @ ( C @ ( B @ ( A @ ( o @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/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 @ ( E @ ( D @ ( C @ ( B @ ( A @ ( o @ ( o @ bb ) @ 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 @ ( E @ ( D @ ( C @ ( B @ ( A @ ( o @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(polarity_switch,[status(thm)],[44]) ).
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 @ ( E @ ( D @ ( C @ ( B @ ( A @ ( o @ ( o @ bb ) @ 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 @ ( E @ ( D @ ( C @ ( B @ ( A @ ( o @ ( o @ bb ) @ 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 @ h ) )
!= E )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )
!= D )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= C )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= B )
| ( ( o @ ( o @ v1 ) )
!= A )
| ( ( o @ s @ ( o @ bb ) )
!= ( o @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[130]) ).
thf(132,plain,
( ( o @ s @ ( o @ bb ) )
!= ( o @ ( o @ bb ) ) ),
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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(141,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(142,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: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[141]) ).
thf(143,plain,
o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[142:[bind(A,$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(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(195,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 @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( 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)],[143,47]) ).
thf(196,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 @ ( 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 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( 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)],[195]) ).
thf(202,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 @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ s @ s @ s @ ( 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)],[196]) ).
thf(205,plain,
! [B: $i,A: $i] :
( ( ( B @ s @ ( A @ e2 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ s @ s @ s @ ( 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)],[202]) ).
thf(281,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 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( o @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( ( B @ s @ ( A @ e2 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(paramod_ordered,[status(thm)],[205,45]) ).
thf(282,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: $i] :
( ( ( B @ s @ ( A @ s @ s @ e2 ) @ ( B @ ( A @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( B @ ( A @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( o @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( B @ s @ ( A @ e2 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[281]) ).
thf(283,plain,
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) )
!= ( o @ s @ ( o @ e2 ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) )
!= ( o @ ( o @ e1 ) ) )
| ( ( o @ ( o @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(pattern_uni,[status(thm)],[282:[bind(A,$thf( o )),bind(B,$thf( o )),bind(C,$thf( o @ ( o @ v1 ) )),bind(D,$thf( o @ s @ s @ s @ ( o @ v2 ) )),bind(E,$thf( o @ ( o @ s @ s @ v3 ) )),bind(F,$thf( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )),bind(G,$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,$thf( o @ ( o @ s @ s @ e1 ) )),bind(M,$thf( o @ s @ ( o @ s @ s @ e2 ) ))]]) ).
thf(334,plain,
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) )
!= ( o @ s @ ( o @ e2 ) ) )
| ( ( o @ s @ s @ s )
!= o )
| ( ( o @ s @ s @ s @ s )
!= o )
| ( ( o @ ( o @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[283]) ).
thf(848,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)],[560,78]) ).
thf(849,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[848]) ).
thf(850,plain,
o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[849:[bind(A,$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(955,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)],[850,118]) ).
thf(956,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: $i] :
( ( ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[955]) ).
thf(957,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[956:[bind(A,$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(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(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/sandbox2/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(222,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)],[143,70]) ).
thf(223,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( K @ s @ ( J @ e1 ) @ ( K @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ ( J @ e1 ) @ ( K @ s @ ( J @ s4 ) @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[222]) ).
thf(224,plain,
o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[223:[bind(A,$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(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/sandbox2/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(252,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)],[224,118]) ).
thf(253,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: $i] :
( ( ( o @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[252]) ).
thf(254,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[253:[bind(A,$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(545,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)],[254,76]) ).
thf(546,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( L @ ( J @ ( I @ e1 ) @ ( K @ ( J @ s @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( J @ s @ ( I @ e1 ) @ ( K @ ( J @ ( I @ s3 ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[545]) ).
thf(547,plain,
o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[546:[bind(A,$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(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/sandbox2/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(133,plain,
( ( ( o @ s )
!= o )
| ( o != o ) ),
inference(simp,[status(thm)],[132]) ).
thf(134,plain,
( ( o @ s )
!= o ),
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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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/sandbox2/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/sandbox2/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(647,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)],[547,118]) ).
thf(648,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: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) )
!= ( N @ ( M @ e2 ) @ ( L @ ( K @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( L @ ( K @ e2 ) @ ( N @ ( M @ e1 ) @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[647]) ).
thf(649,plain,
o @ s @ ( o @ s @ s @ s @ s @ e2 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) @ ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) @ ( o @ ( o @ s @ s @ s @ s @ s3 ) @ ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) @ ( o @ s @ ( o @ s @ s @ s @ s1 ) @ ( o @ s @ ( o @ s @ s @ h ) @ ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) @ ( o @ ( o @ s @ s @ v3 ) @ ( o @ s @ s @ s @ ( o @ v2 ) @ ( o @ ( o @ v1 ) @ ( o @ s @ ( o @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[648:[bind(A,$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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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(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/sandbox2/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(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/sandbox2/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(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(592,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 ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ s @ ( H @ e2 ) @ ( I @ ( H @ e1 ) @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ s @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( I @ s @ ( H @ s @ e2 ) @ ( I @ ( H @ s @ e1 ) @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) )
| ~ $true
| ( ( B @ s @ ( A @ e2 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(paramod_ordered,[status(thm)],[205,53]) ).
thf(593,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 ) ) ) ) ) ) ) ) ) ) ) )
!= ( I @ s @ ( H @ e2 ) @ ( I @ ( H @ e1 ) @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ s @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) ) )
| ( I @ s @ ( H @ s @ e2 ) @ ( I @ ( H @ s @ e1 ) @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) )
| ( ( B @ s @ ( A @ e2 ) )
!= ( o @ ( o @ s @ s @ s @ s @ e2 ) ) )
| ( ( B @ ( A @ e1 ) )
!= ( o @ s @ s @ s @ ( o @ s @ s @ s @ s @ e1 ) ) )
| ( ( B @ ( A @ s @ bb ) )
!= ( o @ s @ ( o @ bb ) ) ) ),
inference(simp,[status(thm)],[592]) ).
thf(619,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 ) )
!= ( I @ s @ ( H @ e2 ) ) )
| ( ( B @ ( A @ s @ s @ e1 ) )
!= ( I @ ( H @ e1 ) ) )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s4 ) )
!= M )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s3 ) )
!= L )
| ( ( o @ s @ s @ ( o @ s @ s @ s @ s2 ) )
!= K )
| ( ( o @ s @ ( o @ s @ s @ s @ s1 ) )
!= J )
| ( ( o @ s @ ( o @ s @ s @ h ) )
!= ( I @ ( H @ s @ h ) ) )
| ( ( o @ s @ s @ s @ ( o @ s @ s @ v4 ) )
!= G )
| ( ( o @ ( o @ s @ s @ v3 ) )
!= F )
| ( ( o @ s @ s @ s @ ( o @ v2 ) )
!= E )
| ( ( o @ ( o @ v1 ) )
!= D )
| ( ( B @ ( A @ bb ) )
!= C )
| ( ( B @ s )
!= o )
| ( A
!= ( o @ s @ s @ s @ s ) )
| ( B
!= ( o @ s @ s @ s ) )
| ( A
!= ( o @ s @ s @ s @ s ) )
| ( B
!= ( o @ s ) )
| ( ( A @ s )
!= o )
| ( I @ s @ ( H @ s @ e2 ) @ ( I @ ( H @ s @ e1 ) @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ h ) @ ( G @ ( F @ ( E @ ( D @ ( C @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[593]) ).
thf(632,plain,
! [B: $i,A: $i] :
( ( ( o @ s @ s @ ( o @ s @ s @ s @ s @ s @ s @ e2 ) )
!= ( B @ s @ ( A @ e2 ) ) )
| ( ( o @ s @ ( o @ s @ s @ s @ s @ s @ s @ e1 ) )
!= ( B @ ( A @ e1 ) ) )
| ( ( o @ s @ ( o @ s @ s @ h ) )
!= ( B @ ( A @ s @ h ) ) )
| ( ( o @ s @ s )
!= o )
| ( ( o @ s @ s @ s )
!= ( o @ s ) )
| ( ( o @ s @ s @ s @ s @ s )
!= o )
| ( B @ s @ ( A @ s @ e2 ) @ ( B @ ( A @ 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 ) @ ( B @ ( A @ 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 @ s @ s @ s @ s @ bb ) @ state ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[619]) ).
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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(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/sandbox2/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(1818,plain,
$false,
inference(e,[status(thm)],[115,56,121,53,123,51,69,101,52,125,46,93,78,61,692,132,89,74,85,60,117,334,957,70,97,224,109,77,547,96,134,73,105,205,45,64,44,118,71,54,49,113,81,76,649,103,91,66,48,95,50,127,72,143,99,87,55,632,75,82,119,58,107,79,283,47,62,850,68,111,254,83,560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.41 % Computer : n010.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 05:07:30 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.34/1.22 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.10/1.50 % [INFO] Parsing done (280ms).
% 2.10/1.52 % [INFO] Running in sequential loop mode.
% 3.00/1.86 % [INFO] eprover registered as external prover.
% 3.00/1.87 % [INFO] Scanning for conjecture ...
% 3.28/1.97 % [INFO] Found a conjecture (or negated_conjecture) and 42 axioms. Running axiom selection ...
% 3.70/2.07 % [INFO] Axiom selection finished. Selected 42 axioms (removed 0 axioms).
% 4.03/2.18 % [INFO] Problem is propositional (TPTP CNF).
% 4.03/2.19 % [INFO] Type checking passed.
% 4.03/2.19 % [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 ...
% 44.06/11.92 % External prover 'e' found a proof!
% 44.06/11.92 % [INFO] Killing All external provers ...
% 44.06/11.93 % Time passed: 11306ms (effective reasoning time: 10404ms)
% 44.06/11.93 % 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
% 44.06/11.93 % No. of inferences in proof: 147
% 44.06/11.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 11306 ms resp. 10404 ms w/o parsing
% 45.92/12.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 45.92/12.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------