%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n016.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 09:18:04 AM UTC 2026
% Result : Unsatisfiable 12.48s 4.25s
% Output : Refutation 11.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 48
% Syntax : Number of formulae : 160 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 611 ( 38 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 2894 ( 426 ~; 387 |; 0 &;2081 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 14 con; 0-8 aty)
% Number of variables : 966 ( 0 ^; 966 !; 0 ?; 966 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p5_decl,type,
p5: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(c22_decl,type,
c22: $i ).
thf(c23_decl,type,
c23: $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(f13_decl,type,
f13: $i > $i ).
thf(f11_decl,type,
f11: $i > $i > $i > $i > $i > $i > $i ).
thf(c24_decl,type,
c24: $i ).
thf(c25_decl,type,
c25: $i ).
thf(c26_decl,type,
c26: $i ).
thf(c27_decl,type,
c27: $i ).
thf(c28_decl,type,
c28: $i ).
thf(c29_decl,type,
c29: $i ).
thf(c30_decl,type,
c30: $i ).
thf(c31_decl,type,
c31: $i ).
thf(c32_decl,type,
c32: $i ).
thf(c33_decl,type,
c33: $i ).
thf(f20_decl,type,
f20: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f15_decl,type,
f15: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f16_decl,type,
f16: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f17_decl,type,
f17: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f14_decl,type,
f14: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f19_decl,type,
f19: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f18_decl,type,
f18: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(12,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f4 @ ( B @ p3 ) )
| ( B @ ( A @ f4 @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_12) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f4 @ ( B @ p3 ) )
| ( B @ ( A @ f4 @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(52,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(42,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f14 ) ) ) ) ) ) ) @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_42) ).
thf(59,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f14 ) ) ) ) ) ) ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(45,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f18 ) ) ) ) ) ) ) @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_45) ).
thf(72,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f18 ) ) ) ) ) ) ) @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(38,negated_conjecture,
! [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] :
( ~ ( M @ ( H @ ( I @ ( J @ ( L @ ( K @ f11 ) ) ) ) ) @ ( G @ p3 ) )
| ~ ( J @ f13 @ ( C @ f13 @ p12 ) )
| ~ ( I @ ( D @ p8 ) )
| ~ ( H @ ( E @ p9 ) )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).
thf(69,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] :
( ~ ( M @ ( H @ ( I @ ( J @ ( L @ ( K @ f11 ) ) ) ) ) @ ( G @ p3 ) )
| ~ ( J @ f13 @ ( C @ f13 @ p12 ) )
| ~ ( I @ ( D @ p8 ) )
| ~ ( H @ ( E @ p9 ) )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(46,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_46) ).
thf(64,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(101,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) ) ),
inference(cnf,[status(esa)],[64]) ).
thf(43,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f20 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f20 ) ) ) ) ) ) ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_43) ).
thf(88,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f20 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f20 ) ) ) ) ) ) ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
thf(79,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( G @ f4 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_25) ).
thf(62,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( G @ f4 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(132,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( G @ f4 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ),
inference(polarity_switch,[status(thm)],[62]) ).
thf(166,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( H @ f4 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f11 ) ) ) ) ) @ p3 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[79,132]) ).
thf(167,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( A @ p3 ) )
!= ( H @ f4 @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f11 ) ) ) ) ) @ p3 ) ) ),
inference(simp,[status(thm)],[166]) ).
thf(168,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
!= ( H @ f4 ) )
| ( A
!= ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f11 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[167]) ).
thf(170,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) )
!= ( G @ f4 ) ),
inference(simp,[status(thm)],[168]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
thf(81,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(98,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(cnf,[status(esa)],[84]) ).
thf(10,negated_conjecture,
~ ( c23 @ ( c22 @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_10) ).
thf(50,plain,
~ ( c23 @ ( c22 @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(126,plain,
~ ( c23 @ ( c22 @ p8 ) ),
inference(polarity_switch,[status(thm)],[50]) ).
thf(291,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p8 ) )
!= ( c23 @ ( c22 @ p8 ) ) )
| ~ $true
| ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[98,126]) ).
thf(292,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p8 ) )
!= ( c23 @ ( c22 @ p8 ) ) )
| ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) ) ),
inference(simp,[status(thm)],[291]) ).
thf(293,plain,
! [A: $i] :
( ~ ( c23 @ ( A @ p8 ) )
| ~ ( c22 @ ( A @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[292:[bind(A,$thf( c22 )),bind(B,$thf( c23 ))]]) ).
thf(298,plain,
! [A: $i] :
( ~ ( c23 @ ( A @ p8 ) )
| ~ ( c22 @ ( A @ p8 ) ) ),
inference(simp,[status(thm)],[293]) ).
thf(306,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p8 ) )
!= ( c23 @ ( B @ p8 ) ) )
| ~ $true
| ~ ( c22 @ ( B @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[81,298]) ).
thf(307,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p8 ) )
!= ( c23 @ ( B @ p8 ) ) )
| ~ ( c22 @ ( B @ p8 ) ) ),
inference(simp,[status(thm)],[306]) ).
thf(308,plain,
~ ( c22 @ ( c23 @ p8 ) ),
inference(pattern_uni,[status(thm)],[307:[bind(A,$thf( c23 )),bind(B,$thf( c23 ))]]) ).
thf(30,negated_conjecture,
! [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 @ ( B @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
thf(93,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 @ ( B @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(282,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p8 ) )
!= ( C @ ( D @ p8 ) ) )
| ~ $true
| ~ ( B @ ( D @ p8 ) )
| ( C @ ( B @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[81,98]) ).
thf(283,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p8 ) )
!= ( C @ ( D @ p8 ) ) )
| ~ ( B @ ( D @ p8 ) )
| ( C @ ( B @ p8 ) ) ),
inference(simp,[status(thm)],[282]) ).
thf(284,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p8 ) )
| ( A @ ( B @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[283:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
thf(57,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(315,plain,
! [A: $i] :
( ~ $true
| ( ( c23 @ ( A @ p8 ) )
!= ( c22 @ ( A @ p8 ) ) )
| ~ ( c22 @ ( A @ p8 ) ) ),
inference(eqfactor_ordered,[status(thm)],[298]) ).
thf(316,plain,
! [A: $i] :
( ( ( c23 @ ( A @ p8 ) )
!= ( c22 @ ( A @ p8 ) ) )
| ~ ( c22 @ ( A @ p8 ) ) ),
inference(simp,[status(thm)],[315]) ).
thf(27,negated_conjecture,
c33 @ ( c32 @ ( c23 @ ( c31 @ ( c30 @ ( c29 @ f11 ) ) ) ) ) @ ( c28 @ ( c27 @ ( c22 @ ( c26 @ ( c25 @ ( c24 @ f11 ) ) ) ) ) @ p21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
thf(78,plain,
c33 @ ( c32 @ ( c23 @ ( c31 @ ( c30 @ ( c29 @ f11 ) ) ) ) ) @ ( c28 @ ( c27 @ ( c22 @ ( c26 @ ( c25 @ ( c24 @ f11 ) ) ) ) ) @ p21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(37,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( G @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ f13 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_37) ).
thf(61,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( G @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ f13 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(40,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_40) ).
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] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(32,negated_conjecture,
! [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 @ ( B @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_32) ).
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 @ ( K @ ( J @ ( B @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).
thf(85,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(102,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f14 ) ) ) ) ) ) ) @ p10 ) ) ),
inference(cnf,[status(esa)],[59]) ).
thf(364,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ~ ( c23 @ ( C @ p8 ) )
| ~ $true
| ~ ( B @ ( A @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[284,298]) ).
thf(365,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ~ ( c23 @ ( C @ p8 ) )
| ~ ( B @ ( A @ p8 ) ) ),
inference(simp,[status(thm)],[364]) ).
thf(366,plain,
! [A: $i] :
( ~ ( c23 @ ( A @ p8 ) )
| ~ ( A @ ( c22 @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[365:[bind(A,$thf( c22 )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(392,plain,
! [A: $i] :
( ~ ( c23 @ ( A @ p8 ) )
| ~ ( A @ ( c22 @ p8 ) ) ),
inference(simp,[status(thm)],[366]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
thf(70,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(36,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( A @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_36) ).
thf(92,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( A @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(29,negated_conjecture,
! [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 @ ( L @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_29) ).
thf(65,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( L @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(97,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f4 @ ( B @ p3 ) )
| ( B @ ( A @ f4 @ p21 ) ) ),
inference(cnf,[status(esa)],[56]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).
thf(53,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(361,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c23 @ ( C @ p8 ) ) )
| ~ ( c22 @ ( C @ p8 ) )
| ~ ( c22 @ ( C @ p8 ) )
| ~ ( B @ ( A @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[284,316]) ).
thf(362,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c23 @ ( C @ p8 ) ) )
| ~ ( c22 @ ( C @ p8 ) )
| ~ ( B @ ( A @ p8 ) ) ),
inference(simp,[status(thm)],[361]) ).
thf(363,plain,
! [A: $i] :
( ~ ( c22 @ ( A @ p8 ) )
| ~ ( A @ ( c23 @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[362:[bind(A,$thf( c23 )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(391,plain,
! [A: $i] :
( ~ ( c22 @ ( A @ p8 ) )
| ~ ( A @ ( c23 @ p8 ) ) ),
inference(simp,[status(thm)],[363]) ).
thf(401,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ~ $true
| ~ ( C @ ( c23 @ p8 ) )
| ~ ( B @ ( A @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[284,391]) ).
thf(402,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ~ ( C @ ( c23 @ p8 ) )
| ~ ( B @ ( A @ p8 ) ) ),
inference(simp,[status(thm)],[401]) ).
thf(403,plain,
! [A: $i] :
( ~ ( A @ ( c23 @ p8 ) )
| ~ ( A @ ( c22 @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[402:[bind(A,$thf( c22 )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(420,plain,
! [A: $i] :
( ~ ( A @ ( c23 @ p8 ) )
| ~ ( A @ ( c22 @ p8 ) ) ),
inference(simp,[status(thm)],[403]) ).
thf(44,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f19 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f19 ) ) ) ) ) ) ) @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_44) ).
thf(77,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f19 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f19 ) ) ) ) ) ) ) @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
thf(96,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(263,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( D @ f4 @ ( C @ p3 ) ) )
| ~ $true
| ( C @ ( B @ f4 @ p21 ) ) ),
inference(paramod_ordered,[status(thm)],[79,97]) ).
thf(264,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( D @ f4 @ ( C @ p3 ) ) )
| ( C @ ( B @ f4 @ p21 ) ) ),
inference(simp,[status(thm)],[263]) ).
thf(265,plain,
! [B: $i,A: $i] : ( B @ f4 @ ( A @ f4 @ p21 ) ),
inference(pattern_uni,[status(thm)],[264:[bind(A,$thf( E @ f4 )),bind(B,$thf( B )),bind(C,$thf( E @ f4 )),bind(D,$thf( E ))]]) ).
thf(266,plain,
! [B: $i,A: $i] : ( B @ f4 @ ( A @ f4 @ p21 ) ),
inference(simp,[status(thm)],[265]) ).
thf(135,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) )
!= ( ZD @ ( V @ p7 ) ) )
| ~ $true
| ~ ( ZA @ ( S @ p6 ) )
| ~ ( Z @ ( R @ p5 ) )
| ~ ( ZC @ ( U @ p3 ) )
| ~ ( Y @ ( Q @ p2 ) )
| ~ ( ZB @ ( T @ p10 ) )
| ~ ( ZF @ ( X @ p9 ) )
| ~ ( ZE @ ( W @ p8 ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ f17 ) ) ) ) ) ) ) @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ f17 ) ) ) ) ) ) ) @ p7 ) )
| ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[101,101]) ).
thf(136,plain,
! [ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) )
!= ( ZD @ ( V @ p7 ) ) )
| ~ ( ZA @ ( S @ p6 ) )
| ~ ( Z @ ( R @ p5 ) )
| ~ ( ZC @ ( U @ p3 ) )
| ~ ( Y @ ( Q @ p2 ) )
| ~ ( ZB @ ( T @ p10 ) )
| ~ ( ZF @ ( X @ p9 ) )
| ~ ( ZE @ ( W @ p8 ) )
| ( ZF @ ( ZE @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ f17 ) ) ) ) ) ) ) @ ( X @ ( W @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ f17 ) ) ) ) ) ) ) @ p7 ) )
| ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) ) ),
inference(simp,[status(thm)],[135]) ).
thf(137,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( C @ p6 ) )
| ~ ( I @ ( B @ p5 ) )
| ~ ( L @ ( E @ p3 ) )
| ~ ( H @ ( A @ p2 ) )
| ~ ( K @ ( D @ p10 ) )
| ~ ( N @ ( G @ p9 ) )
| ~ ( M @ ( F @ p8 ) )
| ( N @ ( M @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ f17 ) ) ) ) ) ) ) @ ( L @ ( K @ ( J @ ( I @ ( H @ f17 ) ) ) ) ) ) ) @ ( G @ ( F @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ f17 ) ) ) ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) )
| ~ ( ZB @ ( T @ p7 ) )
| ~ ( Y @ ( Q @ p6 ) )
| ~ ( X @ ( P @ p5 ) )
| ~ ( ZA @ ( S @ p3 ) )
| ~ ( W @ ( O @ p2 ) )
| ~ ( Z @ ( R @ p10 ) )
| ~ ( ZD @ ( V @ p9 ) )
| ~ ( ZC @ ( U @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[136:[bind(A,$thf( ZG )),bind(B,$thf( ZH )),bind(C,$thf( ZI )),bind(D,$thf( ZJ )),bind(E,$thf( ZK )),bind(F,$thf( ZL )),bind(G,$thf( ZM )),bind(H,$thf( ZN )),bind(I,$thf( ZO )),bind(J,$thf( ZP )),bind(K,$thf( ZQ )),bind(L,$thf( ZR )),bind(M,$thf( ZS )),bind(N,$thf( ZT )),bind(O,$thf( ZU )),bind(P,$thf( ZV )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( ZN @ ( ZM @ ( ZL @ ( ZK @ ( ZJ @ ( ZI @ ( ZH @ ( ZG @ f17 ) ) ) ) ) ) ) )),bind(W,$thf( W )),bind(X,$thf( X )),bind(Y,$thf( Y )),bind(Z,$thf( Z )),bind(ZA,$thf( ZA )),bind(ZB,$thf( ZB )),bind(ZC,$thf( ZC )),bind(ZD,$thf( ZV @ ( ZU @ ( ZT @ ( ZS @ ( ZR @ ( ZQ @ ( ZP @ ( ZO @ f17 ) ) ) ) ) ) ) ))]]) ).
thf(148,plain,
! [ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( C @ p6 ) )
| ~ ( I @ ( B @ p5 ) )
| ~ ( L @ ( E @ p3 ) )
| ~ ( H @ ( A @ p2 ) )
| ~ ( K @ ( D @ p10 ) )
| ~ ( N @ ( G @ p9 ) )
| ~ ( M @ ( F @ p8 ) )
| ( N @ ( M @ ( ZD @ ( ZC @ ( ZB @ ( ZA @ ( Z @ ( Y @ ( X @ ( W @ f17 ) ) ) ) ) ) ) @ ( L @ ( K @ ( J @ ( I @ ( H @ f17 ) ) ) ) ) ) ) @ ( G @ ( F @ ( V @ ( U @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ f17 ) ) ) ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) )
| ~ ( ZB @ ( T @ p7 ) )
| ~ ( Y @ ( Q @ p6 ) )
| ~ ( X @ ( P @ p5 ) )
| ~ ( ZA @ ( S @ p3 ) )
| ~ ( W @ ( O @ p2 ) )
| ~ ( Z @ ( R @ p10 ) )
| ~ ( ZD @ ( V @ p9 ) )
| ~ ( ZC @ ( U @ p8 ) ) ),
inference(simp,[status(thm)],[137]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
thf(54,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_5) ).
thf(49,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(31,negated_conjecture,
! [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 @ ( B @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).
thf(86,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( B @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(41,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f15 ) ) ) ) ) ) ) @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
thf(71,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f15 ) ) ) ) ) ) ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(39,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_39) ).
thf(80,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] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
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] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
inference(cnf,[status(esa)],[80]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_21) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
thf(55,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(cnf,[status(esa)],[73]) ).
thf(429,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p9 ) )
!= ( C @ ( D @ p9 ) ) )
| ~ $true
| ~ ( B @ ( D @ p9 ) )
| ( C @ ( B @ p9 ) ) ),
inference(paramod_ordered,[status(thm)],[55,100]) ).
thf(430,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p9 ) )
!= ( C @ ( D @ p9 ) ) )
| ~ ( B @ ( D @ p9 ) )
| ( C @ ( B @ p9 ) ) ),
inference(simp,[status(thm)],[429]) ).
thf(431,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p9 ) )
| ( A @ ( B @ p9 ) ) ),
inference(pattern_uni,[status(thm)],[430:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_20) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(47,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f16 ) ) ) ) ) ) ) @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_47) ).
thf(95,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f16 ) ) ) ) ) ) ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(33,negated_conjecture,
! [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 @ ( I @ ( B @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( A @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_33) ).
thf(67,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 @ ( I @ ( B @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( A @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(174,plain,
! [A: $i] :
( ( ( A @ ( A @ p8 ) )
!= ( c23 @ ( c22 @ p8 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[81,126]) ).
thf(175,plain,
! [A: $i] :
( ( A @ ( A @ p8 ) )
!= ( c23 @ ( c22 @ p8 ) ) ),
inference(simp,[status(thm)],[174]) ).
thf(176,plain,
! [A: $i] :
( ( A != c23 )
| ( A != c22 ) ),
inference(simp,[status(thm)],[175]) ).
thf(177,plain,
c23 != c22,
inference(simp,[status(thm)],[176]) ).
thf(444,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p9 ) )
!= ( A @ ( C @ p9 ) ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(eqfactor_ordered,[status(thm)],[100]) ).
thf(445,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p9 ) )
| ( A @ ( A @ p9 ) ) ),
inference(pattern_uni,[status(thm)],[444:[bind(A,$thf( B ))]]) ).
thf(450,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p9 ) )
| ( A @ ( A @ p9 ) ) ),
inference(simp,[status(thm)],[445]) ).
thf(99,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ f4 @ ( A @ f4 @ p3 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
thf(87,plain,
! [B: $i,A: $i] :
( ~ ( B @ f4 @ ( A @ f4 @ p3 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(104,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f18 ) ) ) ) ) ) ) @ p6 ) ) ),
inference(cnf,[status(esa)],[72]) ).
thf(358,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ( ( c23 @ ( C @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ~ $true
| ~ ( B @ ( A @ p8 ) ) ),
inference(paramod_ordered,[status(thm)],[284,316]) ).
thf(359,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ( ( c23 @ ( C @ p8 ) )
!= ( c22 @ ( C @ p8 ) ) )
| ~ ( B @ ( A @ p8 ) ) ),
inference(simp,[status(thm)],[358]) ).
thf(360,plain,
! [A: $i] :
( ( ( c23 @ ( A @ p8 ) )
!= ( c22 @ ( A @ p8 ) ) )
| ~ ( A @ ( c22 @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[359:[bind(A,$thf( c22 )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(390,plain,
! [A: $i] :
( ( ( c23 @ ( A @ p8 ) )
!= ( c22 @ ( A @ p8 ) ) )
| ~ ( A @ ( c22 @ p8 ) ) ),
inference(simp,[status(thm)],[360]) ).
thf(34,negated_conjecture,
! [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 @ ( I @ ( H @ ( B @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( A @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_34) ).
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 @ ( K @ ( J @ ( I @ ( H @ ( B @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( A @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
thf(58,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(35,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( A @ ( H @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_35) ).
thf(82,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( A @ ( H @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(294,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p8 ) )
!= ( A @ ( C @ p8 ) ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(eqfactor_ordered,[status(thm)],[98]) ).
thf(295,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p8 ) )
| ( A @ ( A @ p8 ) ) ),
inference(pattern_uni,[status(thm)],[294:[bind(A,$thf( B ))]]) ).
thf(300,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p8 ) )
| ( A @ ( A @ p8 ) ) ),
inference(simp,[status(thm)],[295]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_14) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(28,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ f4 @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f20 ) ) ) ) ) ) ) @ f4 @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
thf(68,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ f4 @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f20 ) ) ) ) ) ) ) @ f4 @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_26) ).
thf(90,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(48,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( H @ ( G @ ( F @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f19 ) ) ) ) ) ) ) @ f11 ) ) ) ) ) @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
thf(83,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( H @ ( G @ ( F @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f19 ) ) ) ) ) ) ) @ f11 ) ) ) ) ) @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1108,plain,
$false,
inference(e,[status(thm)],[56,52,84,59,72,69,101,88,170,308,93,284,57,316,78,61,132,89,74,60,85,102,392,70,92,65,97,53,420,77,96,73,266,298,148,64,54,49,86,71,391,81,76,98,103,91,66,431,80,63,95,50,67,177,450,99,87,104,390,55,75,58,82,300,51,126,79,94,68,62,90,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n016.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 18:23:45 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.89/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.20 % [INFO] Parsing done (225ms).
% 1.58/1.21 % [INFO] Running in sequential loop mode.
% 2.32/1.61 % [INFO] eprover registered as external prover.
% 2.32/1.62 % [INFO] Scanning for conjecture ...
% 2.70/1.82 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.91/2.00 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.91/2.01 % [INFO] Problem is propositional (TPTP CNF).
% 2.91/2.01 % [INFO] Type checking passed.
% 2.91/2.02 % [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 ...
% 12.48/4.25 % External prover 'e' found a proof!
% 12.48/4.25 % [INFO] Killing All external provers ...
% 12.48/4.25 % Time passed: 3707ms (effective reasoning time: 3032ms)
% 12.48/4.25 % Axioms used in derivation (0):
% 12.48/4.25 % No. of inferences in proof: 160
% 12.48/4.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3707 ms resp. 3032 ms w/o parsing
% 11.64/4.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.64/4.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------