%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ038-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n008.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 5.84s 3.06s
% Output : Refutation 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 43
% Syntax : Number of formulae : 87 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 169 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3378 ( 84 ~; 82 |; 0 &;3212 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 26 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 2 con; 0-12 aty)
% Number of variables : 982 ( 0 ^; 982 !; 0 ?; 982 :)
% Comments :
%------------------------------------------------------------------------------
thf(state_decl,type,
state: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(v3_decl,type,
v3: $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(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(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(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(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(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(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 @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( C @ ( B @ ( A @ 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 @ ( o @ ( o @ s @ s @ s @ v3 ) @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(133,plain,
$false,
inference(e,[status(thm)],[115,56,121,89,97,64,44,123,69,101,52,125,46,93,85,60,117,109,77,73,105,71,54,113,81,103,91,66,48,95,50,127,99,87,75,119,58,107,79,68,62,111,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ038-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n008.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 05:08:10 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 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
% 0.85/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.33/1.26 % [INFO] Parsing done (248ms).
% 1.33/1.27 % [INFO] Running in sequential loop mode.
% 2.18/1.67 % [INFO] eprover registered as external prover.
% 2.18/1.67 % [INFO] Scanning for conjecture ...
% 2.36/1.79 % [INFO] Found a conjecture (or negated_conjecture) and 42 axioms. Running axiom selection ...
% 2.75/1.90 % [INFO] Axiom selection finished. Selected 42 axioms (removed 0 axioms).
% 2.75/2.00 % [INFO] Problem is propositional (TPTP CNF).
% 2.75/2.01 % [INFO] Type checking passed.
% 2.75/2.01 % [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 ...
% 5.84/3.06 % External prover 'e' found a proof!
% 5.84/3.06 % [INFO] Killing All external provers ...
% 5.84/3.06 % Time passed: 2500ms (effective reasoning time: 1785ms)
% 5.84/3.06 % 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
% 5.84/3.06 % No. of inferences in proof: 87
% 5.84/3.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2500 ms resp. 1785 ms w/o parsing
% 6.18/3.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.18/3.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------