%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n018.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 09:18:14 AM UTC 2026
% Result : Unsatisfiable 138.68s 76.35s
% Output : Refutation 139.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 126
% Syntax : Number of formulae : 275 ( 94 unt; 0 typ; 0 def)
% Number of atoms : 1158 ( 10 equ; 0 cnn)
% Maximal formula atoms : 68 ( 4 avg)
% Number of connectives : 4391 ( 866 ~; 863 |; 0 &;2662 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 96 ( 93 usr; 23 con; 0-2 aty)
% Number of variables : 1178 ( 0 ^;1178 !; 0 ?;1178 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p63_decl,type,
p63: $i > $i > $o ).
thf(p61_decl,type,
p61: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p59_decl,type,
p59: $i > $i > $o ).
thf(p57_decl,type,
p57: $i > $i > $o ).
thf(p56_decl,type,
p56: $i > $i > $o ).
thf(p55_decl,type,
p55: $i > $i > $o ).
thf(p53_decl,type,
p53: $i > $i > $o ).
thf(p52_decl,type,
p52: $i > $i > $o ).
thf(p50_decl,type,
p50: $i > $i > $o ).
thf(p48_decl,type,
p48: $i > $i > $o ).
thf(p47_decl,type,
p47: $i > $i > $o ).
thf(p45_decl,type,
p45: $i > $i > $o ).
thf(p43_decl,type,
p43: $i > $i > $o ).
thf(p41_decl,type,
p41: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(p39_decl,type,
p39: $i > $i > $o ).
thf(p37_decl,type,
p37: $i > $i > $o ).
thf(p35_decl,type,
p35: $i > $i > $o ).
thf(p34_decl,type,
p34: $i > $i > $o ).
thf(p33_decl,type,
p33: $i > $i > $o ).
thf(p31_decl,type,
p31: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p29_decl,type,
p29: $i > $i > $o ).
thf(p28_decl,type,
p28: $i > $i > $o ).
thf(p27_decl,type,
p27: $i > $i > $o ).
thf(p25_decl,type,
p25: $i > $i > $o ).
thf(p24_decl,type,
p24: $i > $i > $o ).
thf(p22_decl,type,
p22: $i > $i > $o ).
thf(p20_decl,type,
p20: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p18_decl,type,
p18: $i > $i > $o ).
thf(p17_decl,type,
p17: $i > $i > $o ).
thf(p15_decl,type,
p15: $i > $i > $o ).
thf(p14_decl,type,
p14: $i > $i > $o ).
thf(p13_decl,type,
p13: $i > $i > $o ).
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(p66_decl,type,
p66: $i > $i > $o ).
thf(f12_decl,type,
f12: $i > $i > $i ).
thf(c78_decl,type,
c78: $i ).
thf(c77_decl,type,
c77: $i ).
thf(c79_decl,type,
c79: $i ).
thf(p67_decl,type,
p67: $i > $i > $o ).
thf(f16_decl,type,
f16: $i > $i > $i ).
thf(c80_decl,type,
c80: $i ).
thf(c81_decl,type,
c81: $i ).
thf(c82_decl,type,
c82: $i ).
thf(p70_decl,type,
p70: $i > $i > $o ).
thf(f30_decl,type,
f30: $i > $i > $i ).
thf(c88_decl,type,
c88: $i ).
thf(f38_decl,type,
f38: $i > $i > $i ).
thf(c85_decl,type,
c85: $i ).
thf(p65_decl,type,
p65: $i > $i > $o ).
thf(f5_decl,type,
f5: $i > $i > $i ).
thf(c74_decl,type,
c74: $i ).
thf(f8_decl,type,
f8: $i > $i > $i ).
thf(c75_decl,type,
c75: $i ).
thf(c76_decl,type,
c76: $i ).
thf(f23_decl,type,
f23: $i > $i > $i ).
thf(f26_decl,type,
f26: $i > $i > $i ).
thf(c84_decl,type,
c84: $i ).
thf(p68_decl,type,
p68: $i > $i > $o ).
thf(f19_decl,type,
f19: $i > $i > $i ).
thf(f21_decl,type,
f21: $i > $i > $i ).
thf(c83_decl,type,
c83: $i ).
thf(p73_decl,type,
p73: $i > $i > $o ).
thf(p72_decl,type,
p72: $i > $i > $o ).
thf(f58_decl,type,
f58: $i > $i > $i ).
thf(c90_decl,type,
c90: $i ).
thf(p69_decl,type,
p69: $i > $i > $o ).
thf(f36_decl,type,
f36: $i > $i > $i ).
thf(c86_decl,type,
c86: $i ).
thf(p71_decl,type,
p71: $i > $i > $o ).
thf(f64_decl,type,
f64: $i > $i > $i ).
thf(f60_decl,type,
f60: $i > $i > $i ).
thf(f54_decl,type,
f54: $i > $i > $i ).
thf(f51_decl,type,
f51: $i > $i > $i ).
thf(f46_decl,type,
f46: $i > $i > $i ).
thf(f44_decl,type,
f44: $i > $i > $i ).
thf(f42_decl,type,
f42: $i > $i > $i ).
thf(f62_decl,type,
f62: $i > $i > $i ).
thf(f40_decl,type,
f40: $i > $i > $i ).
thf(f49_decl,type,
f49: $i > $i > $i ).
thf(f32_decl,type,
f32: $i > $i > $i ).
thf(c94_decl,type,
c94: $i ).
thf(c93_decl,type,
c93: $i ).
thf(c91_decl,type,
c91: $i ).
thf(c92_decl,type,
c92: $i ).
thf(c87_decl,type,
c87: $i ).
thf(c89_decl,type,
c89: $i ).
thf(25,negated_conjecture,
! [A: $i] : ( A @ ( A @ p31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_25) ).
thf(138,plain,
! [A: $i] : ( A @ ( A @ p31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(83,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p24 ) )
| ~ ( A @ ( C @ p24 ) )
| ( B @ ( A @ p24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_83) ).
thf(249,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p24 ) )
| ~ ( A @ ( C @ p24 ) )
| ( B @ ( A @ p24 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(58,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_58) ).
thf(234,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p56 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_9) ).
thf(170,plain,
! [A: $i] : ( A @ ( A @ p56 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(16,negated_conjecture,
! [A: $i] : ( A @ ( A @ p45 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_16) ).
thf(217,plain,
! [A: $i] : ( A @ ( A @ p45 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(62,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p55 ) )
| ~ ( A @ ( C @ p55 ) )
| ( B @ ( A @ p55 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p55_62) ).
thf(247,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p55 ) )
| ~ ( A @ ( C @ p55 ) )
| ( B @ ( A @ p55 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(103,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p18 ) )
| ~ ( C @ ( A @ p17 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_103) ).
thf(202,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p18 ) )
| ~ ( C @ ( A @ p17 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(94,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p65 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p65_94) ).
thf(243,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p65 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(270,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p65 ) ) ),
inference(cnf,[status(esa)],[243]) ).
thf(342,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p65 ) )
!= ( H @ ( G @ p65 ) ) )
| ~ ( F @ ( H @ p10 ) )
| ~ $true
| ~ ( E @ ( G @ p4 ) )
| ( F @ ( E @ p65 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[270,270]) ).
thf(343,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p65 ) )
!= ( H @ ( G @ p65 ) ) )
| ~ ( F @ ( H @ p10 ) )
| ~ ( E @ ( G @ p4 ) )
| ( F @ ( E @ p65 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[342]) ).
thf(344,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ( F @ ( E @ p65 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[343:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( A )),bind(H,$thf( B ))]]) ).
thf(348,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] :
( ( ( F @ ( E @ p65 ) )
!= ( J @ ( I @ p65 ) ) )
| ~ ( L @ ( H @ p10 ) )
| ~ ( K @ ( G @ p4 ) )
| ( L @ ( K @ p65 ) )
| ~ ( H @ ( J @ p10 ) )
| ~ $true
| ~ ( G @ ( I @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[344,344]) ).
thf(349,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] :
( ( ( F @ ( E @ p65 ) )
!= ( J @ ( I @ p65 ) ) )
| ~ ( L @ ( H @ p10 ) )
| ~ ( K @ ( G @ p4 ) )
| ( L @ ( K @ p65 ) )
| ~ ( H @ ( J @ p10 ) )
| ~ ( G @ ( I @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[348]) ).
thf(350,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ( J @ ( I @ p65 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[349:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( E )),bind(J,$thf( F ))]]) ).
thf(368,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ( J @ ( I @ p65 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[350]) ).
thf(381,plain,
! [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 @ ( I @ p65 ) )
!= ( N @ ( M @ p65 ) ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ( T @ ( S @ p65 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( L @ p10 ) )
| ~ ( O @ ( K @ p4 ) )
| ~ ( L @ ( N @ p10 ) )
| ~ $true
| ~ ( K @ ( M @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[368,368]) ).
thf(382,plain,
! [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 @ ( I @ p65 ) )
!= ( N @ ( M @ p65 ) ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ( T @ ( S @ p65 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( L @ p10 ) )
| ~ ( O @ ( K @ p4 ) )
| ~ ( L @ ( N @ p10 ) )
| ~ ( K @ ( M @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[381]) ).
thf(383,plain,
! [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: $i] :
( ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ( R @ ( Q @ p65 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[382:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( I )),bind(N,$thf( J ))]]) ).
thf(427,plain,
! [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] :
( ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ( R @ ( Q @ p65 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[383]) ).
thf(505,plain,
! [ZJ: $i,ZI: $i,ZH: $i,ZG: $i,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] :
( ( ( R @ ( Q @ p65 ) )
!= ( V @ ( U @ p65 ) ) )
| ~ ( ZJ @ ( ZH @ p10 ) )
| ~ ( ZI @ ( ZG @ p4 ) )
| ( ZJ @ ( ZI @ p65 ) )
| ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( T @ p10 ) )
| ~ ( W @ ( S @ p4 ) )
| ~ ( T @ ( V @ p10 ) )
| ~ $true
| ~ ( S @ ( U @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[427,427]) ).
thf(506,plain,
! [ZJ: $i,ZI: $i,ZH: $i,ZG: $i,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] :
( ( ( R @ ( Q @ p65 ) )
!= ( V @ ( U @ p65 ) ) )
| ~ ( ZJ @ ( ZH @ p10 ) )
| ~ ( ZI @ ( ZG @ p4 ) )
| ( ZJ @ ( ZI @ p65 ) )
| ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( T @ p10 ) )
| ~ ( W @ ( S @ p4 ) )
| ~ ( T @ ( V @ p10 ) )
| ~ ( S @ ( U @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[505]) ).
thf(507,plain,
! [ZH: $i,ZG: $i,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: $i] :
( ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ( ZH @ ( ZG @ p65 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( V @ p10 ) )
| ~ ( W @ ( U @ p4 ) )
| ~ ( V @ ( T @ p10 ) )
| ~ ( U @ ( S @ p4 ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[506:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( S )),bind(T,$thf( T )),bind(U,$thf( Q )),bind(V,$thf( R ))]]) ).
thf(690,plain,
! [ZH: $i,ZG: $i,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] :
( ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ( ZH @ ( ZG @ p65 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( V @ p10 ) )
| ~ ( W @ ( U @ p4 ) )
| ~ ( V @ ( T @ p10 ) )
| ~ ( U @ ( S @ p4 ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[507]) ).
thf(697,plain,
! [ZZP: $i,ZZO: $i,ZZN: $i,ZZM: $i,ZZL: $i,ZZK: $i,ZZJ: $i,ZZI: $i,ZZH: $i,ZZG: $i,ZZF: $i,ZZE: $i,ZZD: $i,ZZC: $i,ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,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] :
( ( ( ZH @ ( ZG @ p65 ) )
!= ( ZL @ ( ZK @ p65 ) ) )
| ~ ( ZZP @ ( ZZN @ p10 ) )
| ~ ( ZZO @ ( ZZM @ p4 ) )
| ( ZZP @ ( ZZO @ p65 ) )
| ~ ( ZZN @ ( ZZL @ p10 ) )
| ~ ( ZZM @ ( ZZK @ p4 ) )
| ~ ( ZZL @ ( ZZJ @ p10 ) )
| ~ ( ZZK @ ( ZZI @ p4 ) )
| ~ ( ZZJ @ ( ZZH @ p10 ) )
| ~ ( ZZI @ ( ZZG @ p4 ) )
| ~ ( ZZH @ ( ZZF @ p10 ) )
| ~ ( ZZG @ ( ZZE @ p4 ) )
| ~ ( ZZF @ ( ZZD @ p10 ) )
| ~ ( ZZE @ ( ZZC @ p4 ) )
| ~ ( ZZD @ ( ZZB @ p10 ) )
| ~ ( ZZC @ ( ZZA @ p4 ) )
| ~ ( ZZB @ ( ZZ @ p10 ) )
| ~ ( ZZA @ ( ZY @ p4 ) )
| ~ ( ZZ @ ( ZX @ p10 ) )
| ~ ( ZY @ ( ZW @ p4 ) )
| ~ ( ZX @ ( ZV @ p10 ) )
| ~ ( ZW @ ( ZU @ p4 ) )
| ~ ( ZV @ ( ZT @ p10 ) )
| ~ ( ZU @ ( ZS @ p4 ) )
| ~ ( ZT @ ( ZR @ p10 ) )
| ~ ( ZS @ ( ZQ @ p4 ) )
| ~ ( ZR @ ( ZP @ p10 ) )
| ~ ( ZQ @ ( ZO @ p4 ) )
| ~ ( ZP @ ( ZN @ p10 ) )
| ~ ( ZO @ ( ZM @ p4 ) )
| ~ ( ZN @ ( ZJ @ p10 ) )
| ~ ( ZM @ ( ZI @ p4 ) )
| ~ ( ZJ @ ( ZL @ p10 ) )
| ~ $true
| ~ ( ZI @ ( ZK @ p4 ) )
| ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( V @ p10 ) )
| ~ ( W @ ( U @ p4 ) )
| ~ ( V @ ( T @ p10 ) )
| ~ ( U @ ( S @ p4 ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[690,690]) ).
thf(698,plain,
! [ZZP: $i,ZZO: $i,ZZN: $i,ZZM: $i,ZZL: $i,ZZK: $i,ZZJ: $i,ZZI: $i,ZZH: $i,ZZG: $i,ZZF: $i,ZZE: $i,ZZD: $i,ZZC: $i,ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,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] :
( ( ( ZH @ ( ZG @ p65 ) )
!= ( ZL @ ( ZK @ p65 ) ) )
| ~ ( ZZP @ ( ZZN @ p10 ) )
| ~ ( ZZO @ ( ZZM @ p4 ) )
| ( ZZP @ ( ZZO @ p65 ) )
| ~ ( ZZN @ ( ZZL @ p10 ) )
| ~ ( ZZM @ ( ZZK @ p4 ) )
| ~ ( ZZL @ ( ZZJ @ p10 ) )
| ~ ( ZZK @ ( ZZI @ p4 ) )
| ~ ( ZZJ @ ( ZZH @ p10 ) )
| ~ ( ZZI @ ( ZZG @ p4 ) )
| ~ ( ZZH @ ( ZZF @ p10 ) )
| ~ ( ZZG @ ( ZZE @ p4 ) )
| ~ ( ZZF @ ( ZZD @ p10 ) )
| ~ ( ZZE @ ( ZZC @ p4 ) )
| ~ ( ZZD @ ( ZZB @ p10 ) )
| ~ ( ZZC @ ( ZZA @ p4 ) )
| ~ ( ZZB @ ( ZZ @ p10 ) )
| ~ ( ZZA @ ( ZY @ p4 ) )
| ~ ( ZZ @ ( ZX @ p10 ) )
| ~ ( ZY @ ( ZW @ p4 ) )
| ~ ( ZX @ ( ZV @ p10 ) )
| ~ ( ZW @ ( ZU @ p4 ) )
| ~ ( ZV @ ( ZT @ p10 ) )
| ~ ( ZU @ ( ZS @ p4 ) )
| ~ ( ZT @ ( ZR @ p10 ) )
| ~ ( ZS @ ( ZQ @ p4 ) )
| ~ ( ZR @ ( ZP @ p10 ) )
| ~ ( ZQ @ ( ZO @ p4 ) )
| ~ ( ZP @ ( ZN @ p10 ) )
| ~ ( ZO @ ( ZM @ p4 ) )
| ~ ( ZN @ ( ZJ @ p10 ) )
| ~ ( ZM @ ( ZI @ p4 ) )
| ~ ( ZJ @ ( ZL @ p10 ) )
| ~ ( ZI @ ( ZK @ p4 ) )
| ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( V @ p10 ) )
| ~ ( W @ ( U @ p4 ) )
| ~ ( V @ ( T @ p10 ) )
| ~ ( U @ ( S @ p4 ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[697]) ).
thf(699,plain,
! [ZZN: $i,ZZM: $i,ZZL: $i,ZZK: $i,ZZJ: $i,ZZI: $i,ZZH: $i,ZZG: $i,ZZF: $i,ZZE: $i,ZZD: $i,ZZC: $i,ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,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: $i] :
( ~ ( ZZN @ ( ZZL @ p10 ) )
| ~ ( ZZM @ ( ZZK @ p4 ) )
| ( ZZN @ ( ZZM @ p65 ) )
| ~ ( ZZL @ ( ZZJ @ p10 ) )
| ~ ( ZZK @ ( ZZI @ p4 ) )
| ~ ( ZZJ @ ( ZZH @ p10 ) )
| ~ ( ZZI @ ( ZZG @ p4 ) )
| ~ ( ZZH @ ( ZZF @ p10 ) )
| ~ ( ZZG @ ( ZZE @ p4 ) )
| ~ ( ZZF @ ( ZZD @ p10 ) )
| ~ ( ZZE @ ( ZZC @ p4 ) )
| ~ ( ZZD @ ( ZZB @ p10 ) )
| ~ ( ZZC @ ( ZZA @ p4 ) )
| ~ ( ZZB @ ( ZZ @ p10 ) )
| ~ ( ZZA @ ( ZY @ p4 ) )
| ~ ( ZZ @ ( ZX @ p10 ) )
| ~ ( ZY @ ( ZW @ p4 ) )
| ~ ( ZX @ ( ZV @ p10 ) )
| ~ ( ZW @ ( ZU @ p4 ) )
| ~ ( ZV @ ( ZT @ p10 ) )
| ~ ( ZU @ ( ZS @ p4 ) )
| ~ ( ZT @ ( ZR @ p10 ) )
| ~ ( ZS @ ( ZQ @ p4 ) )
| ~ ( ZR @ ( ZP @ p10 ) )
| ~ ( ZQ @ ( ZO @ p4 ) )
| ~ ( ZP @ ( ZN @ p10 ) )
| ~ ( ZO @ ( ZM @ p4 ) )
| ~ ( ZN @ ( ZL @ p10 ) )
| ~ ( ZM @ ( ZK @ p4 ) )
| ~ ( ZL @ ( ZJ @ p10 ) )
| ~ ( ZK @ ( ZI @ p4 ) )
| ~ ( ZJ @ ( ZH @ p10 ) )
| ~ ( ZI @ ( ZG @ p4 ) )
| ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( V @ p10 ) )
| ~ ( W @ ( U @ p4 ) )
| ~ ( V @ ( T @ p10 ) )
| ~ ( U @ ( S @ p4 ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[698:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( M )),bind(N,$thf( N )),bind(O,$thf( O )),bind(P,$thf( P )),bind(Q,$thf( Q )),bind(R,$thf( R )),bind(S,$thf( S )),bind(T,$thf( T )),bind(U,$thf( U )),bind(V,$thf( V )),bind(W,$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,$thf( ZD )),bind(ZE,$thf( ZE )),bind(ZF,$thf( ZF )),bind(ZG,$thf( ZG )),bind(ZH,$thf( ZH )),bind(ZI,$thf( ZI )),bind(ZJ,$thf( ZJ )),bind(ZK,$thf( ZG )),bind(ZL,$thf( ZH ))]]) ).
thf(1437,plain,
! [ZZN: $i,ZZM: $i,ZZL: $i,ZZK: $i,ZZJ: $i,ZZI: $i,ZZH: $i,ZZG: $i,ZZF: $i,ZZE: $i,ZZD: $i,ZZC: $i,ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,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] :
( ~ ( ZZN @ ( ZZL @ p10 ) )
| ~ ( ZZM @ ( ZZK @ p4 ) )
| ( ZZN @ ( ZZM @ p65 ) )
| ~ ( ZZL @ ( ZZJ @ p10 ) )
| ~ ( ZZK @ ( ZZI @ p4 ) )
| ~ ( ZZJ @ ( ZZH @ p10 ) )
| ~ ( ZZI @ ( ZZG @ p4 ) )
| ~ ( ZZH @ ( ZZF @ p10 ) )
| ~ ( ZZG @ ( ZZE @ p4 ) )
| ~ ( ZZF @ ( ZZD @ p10 ) )
| ~ ( ZZE @ ( ZZC @ p4 ) )
| ~ ( ZZD @ ( ZZB @ p10 ) )
| ~ ( ZZC @ ( ZZA @ p4 ) )
| ~ ( ZZB @ ( ZZ @ p10 ) )
| ~ ( ZZA @ ( ZY @ p4 ) )
| ~ ( ZZ @ ( ZX @ p10 ) )
| ~ ( ZY @ ( ZW @ p4 ) )
| ~ ( ZX @ ( ZV @ p10 ) )
| ~ ( ZW @ ( ZU @ p4 ) )
| ~ ( ZV @ ( ZT @ p10 ) )
| ~ ( ZU @ ( ZS @ p4 ) )
| ~ ( ZT @ ( ZR @ p10 ) )
| ~ ( ZS @ ( ZQ @ p4 ) )
| ~ ( ZR @ ( ZP @ p10 ) )
| ~ ( ZQ @ ( ZO @ p4 ) )
| ~ ( ZP @ ( ZN @ p10 ) )
| ~ ( ZO @ ( ZM @ p4 ) )
| ~ ( ZN @ ( ZL @ p10 ) )
| ~ ( ZM @ ( ZK @ p4 ) )
| ~ ( ZL @ ( ZJ @ p10 ) )
| ~ ( ZK @ ( ZI @ p4 ) )
| ~ ( ZJ @ ( ZH @ p10 ) )
| ~ ( ZI @ ( ZG @ p4 ) )
| ~ ( ZH @ ( ZF @ p10 ) )
| ~ ( ZG @ ( ZE @ p4 ) )
| ~ ( ZF @ ( ZD @ p10 ) )
| ~ ( ZE @ ( ZC @ p4 ) )
| ~ ( ZD @ ( ZB @ p10 ) )
| ~ ( ZC @ ( ZA @ p4 ) )
| ~ ( ZB @ ( Z @ p10 ) )
| ~ ( ZA @ ( Y @ p4 ) )
| ~ ( Z @ ( X @ p10 ) )
| ~ ( Y @ ( W @ p4 ) )
| ~ ( X @ ( V @ p10 ) )
| ~ ( W @ ( U @ p4 ) )
| ~ ( V @ ( T @ p10 ) )
| ~ ( U @ ( S @ p4 ) )
| ~ ( T @ ( R @ p10 ) )
| ~ ( S @ ( Q @ p4 ) )
| ~ ( R @ ( P @ p10 ) )
| ~ ( Q @ ( O @ p4 ) )
| ~ ( P @ ( N @ p10 ) )
| ~ ( O @ ( M @ p4 ) )
| ~ ( N @ ( L @ p10 ) )
| ~ ( M @ ( K @ p4 ) )
| ~ ( L @ ( J @ p10 ) )
| ~ ( K @ ( I @ p4 ) )
| ~ ( J @ ( H @ p10 ) )
| ~ ( I @ ( G @ p4 ) )
| ~ ( H @ ( F @ p10 ) )
| ~ ( G @ ( E @ p4 ) )
| ~ ( F @ ( B @ p10 ) )
| ~ ( E @ ( A @ p4 ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p65 ) )
| ~ ( A @ ( C @ p4 ) ) ),
inference(simp,[status(thm)],[699]) ).
thf(125,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( c92 @ f62 ) @ ( B @ ( c91 @ f64 ) @ f60 ) @ ( c90 @ f58 ) @ p72 ) )
| ~ ( C @ ( A @ ( c88 @ f30 ) @ ( c93 @ f54 ) @ p71 ) )
| ( C @ ( B @ ( c94 @ f51 ) @ f49 ) @ ( A @ ( c88 @ f30 ) @ p70 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p70_125) ).
thf(142,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( c92 @ f62 ) @ ( B @ ( c91 @ f64 ) @ f60 ) @ ( c90 @ f58 ) @ p72 ) )
| ~ ( C @ ( A @ ( c88 @ f30 ) @ ( c93 @ f54 ) @ p71 ) )
| ( C @ ( B @ ( c94 @ f51 ) @ f49 ) @ ( A @ ( c88 @ f30 ) @ p70 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(89,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_89) ).
thf(153,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(77,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_77) ).
thf(174,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(34,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
thf(185,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,negated_conjecture,
! [A: $i] : ( A @ ( A @ p22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_32) ).
thf(184,plain,
! [A: $i] : ( A @ ( A @ p22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(113,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p61 ) )
| ~ ( D @ ( B @ p48 ) )
| ( D @ ( C @ f62 ) @ ( B @ ( A @ f62 ) @ p37 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_113) ).
thf(196,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p61 ) )
| ~ ( D @ ( B @ p48 ) )
| ( D @ ( C @ f62 ) @ ( B @ ( A @ f62 ) @ p37 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_6) ).
thf(157,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(59,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p59 ) )
| ~ ( A @ ( C @ p59 ) )
| ( B @ ( A @ p59 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_59) ).
thf(189,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p59 ) )
| ~ ( A @ ( C @ p59 ) )
| ( B @ ( A @ p59 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(61,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p56 ) )
| ~ ( A @ ( C @ p56 ) )
| ( B @ ( A @ p56 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_61) ).
thf(152,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p56 ) )
| ~ ( A @ ( C @ p56 ) )
| ( B @ ( A @ p56 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(55,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_55) ).
thf(228,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(67,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p47 ) )
| ~ ( A @ ( C @ p47 ) )
| ( B @ ( A @ p47 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_67) ).
thf(216,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p47 ) )
| ~ ( A @ ( C @ p47 ) )
| ( B @ ( A @ p47 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(33,negated_conjecture,
! [A: $i] : ( A @ ( A @ p20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_33) ).
thf(164,plain,
! [A: $i] : ( A @ ( A @ p20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(105,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p56 ) )
| ~ ( C @ ( A @ p55 ) )
| ( D @ ( C @ f58 ) @ ( B @ ( A @ f58 ) @ p57 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_105) ).
thf(179,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p56 ) )
| ~ ( C @ ( A @ p55 ) )
| ( D @ ( C @ f58 ) @ ( B @ ( A @ f58 ) @ p57 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(48,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c80 @ f16 ) @ p67 ) )
| ( B @ ( A @ p68 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_48) ).
thf(211,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c80 @ f16 ) @ p67 ) )
| ( B @ ( A @ p68 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(19,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).
thf(238,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(78,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_78) ).
thf(147,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(43,negated_conjecture,
! [B: $i,A: $i] : ( B @ ( c85 @ f38 ) @ ( A @ ( c88 @ f30 ) @ p70 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p70_43) ).
thf(221,plain,
! [B: $i,A: $i] : ( B @ ( c85 @ f38 ) @ ( A @ ( c88 @ f30 ) @ p70 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(120,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p31 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_120) ).
thf(132,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p31 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p28 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p55 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p55_10) ).
thf(133,plain,
! [A: $i] : ( A @ ( A @ p55 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
thf(206,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(119,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p28 ) )
| ~ ( C @ ( A @ p27 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_119) ).
thf(233,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p28 ) )
| ~ ( C @ ( A @ p27 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(122,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p20 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_122) ).
thf(248,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p20 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(98,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p29 ) )
| ~ ( D @ ( C @ p69 ) )
| ~ ( A @ ( C @ p35 ) )
| ( B @ ( A @ p69 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p69_98) ).
thf(201,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p29 ) )
| ~ ( D @ ( C @ p69 ) )
| ~ ( A @ ( C @ p35 ) )
| ( B @ ( A @ p69 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(72,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p39 ) )
| ~ ( A @ ( C @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_72) ).
thf(220,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p39 ) )
| ~ ( A @ ( C @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(60,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p57 ) )
| ~ ( A @ ( C @ p57 ) )
| ( B @ ( A @ p57 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_60) ).
thf(160,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p57 ) )
| ~ ( A @ ( C @ p57 ) )
| ( B @ ( A @ p57 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(12,negated_conjecture,
! [A: $i] : ( A @ ( A @ p52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p52_12) ).
thf(192,plain,
! [A: $i] : ( A @ ( A @ p52 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(37,negated_conjecture,
! [A: $i] : ( A @ ( A @ p15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_37) ).
thf(137,plain,
! [A: $i] : ( A @ ( A @ p15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(28,negated_conjecture,
! [A: $i] : ( A @ ( A @ p28 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_28) ).
thf(165,plain,
! [A: $i] : ( A @ ( A @ p28 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(114,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p39 ) )
| ~ ( D @ ( B @ p14 ) )
| ( D @ ( C @ f40 ) @ ( B @ ( A @ f40 ) @ p37 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_114) ).
thf(229,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p39 ) )
| ~ ( D @ ( B @ p14 ) )
| ( D @ ( C @ f40 ) @ ( B @ ( A @ f40 ) @ p37 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(111,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f5 ) @ ( B @ ( A @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_111) ).
thf(252,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f5 ) @ ( B @ ( A @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(81,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p27 ) )
| ~ ( A @ ( C @ p27 ) )
| ( B @ ( A @ p27 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_81) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p27 ) )
| ~ ( A @ ( C @ p27 ) )
| ( B @ ( A @ p27 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(104,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p63 ) )
| ~ ( D @ ( B @ p37 ) )
| ( D @ ( C @ f64 ) @ ( B @ ( A @ f64 ) @ p59 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_104) ).
thf(224,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p63 ) )
| ~ ( D @ ( B @ p37 ) )
| ( D @ ( C @ f64 ) @ ( B @ ( A @ f64 ) @ p59 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(74,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p35 ) )
| ~ ( A @ ( C @ p35 ) )
| ( B @ ( A @ p35 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_74) ).
thf(156,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p35 ) )
| ~ ( A @ ( C @ p35 ) )
| ( B @ ( A @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(27,negated_conjecture,
! [A: $i] : ( A @ ( A @ p29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_27) ).
thf(188,plain,
! [A: $i] : ( A @ ( A @ p29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(97,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p14 ) )
| ~ ( A @ ( C @ p7 ) )
| ~ ( D @ ( C @ p68 ) )
| ( B @ ( A @ p68 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_97) ).
thf(169,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p14 ) )
| ~ ( A @ ( C @ p7 ) )
| ~ ( D @ ( C @ p68 ) )
| ( B @ ( A @ p68 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(110,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p43 ) )
| ~ ( D @ ( B @ p14 ) )
| ( D @ ( C @ f44 ) @ ( B @ ( A @ f44 ) @ p41 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p41_110) ).
thf(141,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p43 ) )
| ~ ( D @ ( B @ p14 ) )
| ( D @ ( C @ f44 ) @ ( B @ ( A @ f44 ) @ p41 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(40,negated_conjecture,
! [A: $i] : ( A @ ( A @ p11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_40) ).
thf(225,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(54,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_54) ).
thf(193,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(63,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p53 ) )
| ~ ( A @ ( C @ p53 ) )
| ( B @ ( A @ p53 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p53_63) ).
thf(212,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p53 ) )
| ~ ( A @ ( C @ p53 ) )
| ( B @ ( A @ p53 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(124,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p22 ) )
| ~ ( D @ ( B @ p14 ) )
| ( D @ ( C @ f23 ) @ ( B @ ( A @ f23 ) @ p14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_124) ).
thf(173,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p22 ) )
| ~ ( D @ ( B @ p14 ) )
| ( D @ ( C @ f23 ) @ ( B @ ( A @ f23 ) @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(88,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_88) ).
thf(129,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(56,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p63 ) )
| ~ ( A @ ( C @ p63 ) )
| ( B @ ( A @ p63 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_56) ).
thf(134,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p63 ) )
| ~ ( A @ ( C @ p63 ) )
| ( B @ ( A @ p63 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(47,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c90 @ f58 ) @ p72 ) )
| ( B @ ( A @ p73 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p73_47) ).
thf(244,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c90 @ f58 ) @ p72 ) )
| ( B @ ( A @ p73 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(108,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p50 ) )
| ~ ( D @ ( B @ p37 ) )
| ( D @ ( C @ f51 ) @ ( B @ ( A @ f51 ) @ p47 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_108) ).
thf(205,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p50 ) )
| ~ ( D @ ( B @ p37 ) )
| ( D @ ( C @ f51 ) @ ( B @ ( A @ f51 ) @ p47 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(101,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p28 ) )
| ~ ( D @ ( C @ p72 ) )
| ~ ( A @ ( C @ p57 ) )
| ( B @ ( A @ p72 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p72_101) ).
thf(128,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p28 ) )
| ~ ( D @ ( C @ p72 ) )
| ~ ( A @ ( C @ p57 ) )
| ( B @ ( A @ p72 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(51,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p73 ) )
| ( B @ ( A @ ( c90 @ f58 ) @ p72 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p72_51) ).
thf(237,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p73 ) )
| ( B @ ( A @ ( c90 @ f58 ) @ p72 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(38,negated_conjecture,
! [A: $i] : ( A @ ( A @ p14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_38) ).
thf(166,plain,
! [A: $i] : ( A @ ( A @ p14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(29,negated_conjecture,
! [A: $i] : ( A @ ( A @ p27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_29) ).
thf(148,plain,
! [A: $i] : ( A @ ( A @ p27 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(117,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p37 ) )
| ~ ( C @ ( A @ p25 ) )
| ( D @ ( C @ f38 ) @ ( B @ ( A @ f38 ) @ p34 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_117) ).
thf(161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p37 ) )
| ~ ( C @ ( A @ p25 ) )
| ( D @ ( C @ f38 ) @ ( B @ ( A @ f38 ) @ p34 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(106,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p59 ) )
| ~ ( D @ ( B @ p37 ) )
| ( D @ ( C @ f60 ) @ ( B @ ( A @ f60 ) @ p56 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_106) ).
thf(149,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p59 ) )
| ~ ( D @ ( B @ p37 ) )
| ( D @ ( C @ f60 ) @ ( B @ ( A @ f60 ) @ p56 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(180,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(46,negated_conjecture,
~ ( c81 @ ( c79 @ ( c77 @ ( c83 @ f21 ) @ f19 ) @ p68 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p68_46) ).
thf(144,plain,
~ ( c81 @ ( c79 @ ( c77 @ ( c83 @ f21 ) @ f19 ) @ p68 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(296,plain,
~ ( c81 @ ( c79 @ ( c77 @ ( c83 @ f21 ) @ f19 ) @ p68 ) ),
inference(polarity_switch,[status(thm)],[144]) ).
thf(13,negated_conjecture,
! [A: $i] : ( A @ ( A @ p50 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p50_13) ).
thf(176,plain,
! [A: $i] : ( A @ ( A @ p50 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(71,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_71) ).
thf(191,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(66,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p48 ) )
| ~ ( A @ ( C @ p48 ) )
| ( B @ ( A @ p48 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_66) ).
thf(204,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p48 ) )
| ~ ( A @ ( C @ p48 ) )
| ( B @ ( A @ p48 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(30,negated_conjecture,
! [A: $i] : ( A @ ( A @ p25 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_30) ).
thf(236,plain,
! [A: $i] : ( A @ ( A @ p25 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(45,negated_conjecture,
! [A: $i] : ( A @ ( A @ ( c85 @ ( c84 @ f26 ) @ f23 ) @ p14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).
thf(181,plain,
! [A: $i] : ( A @ ( A @ ( c85 @ ( c84 @ f26 ) @ f23 ) @ p14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(102,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p9 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_102) ).
thf(159,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p9 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(44,negated_conjecture,
c77 @ ( c76 @ ( c75 @ f8 ) @ ( c74 @ f5 ) @ p65 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p65_44) ).
thf(187,plain,
c77 @ ( c76 @ ( c75 @ f8 ) @ ( c74 @ f5 ) @ p65 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(109,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p45 ) )
| ~ ( D @ ( B @ p18 ) )
| ( D @ ( C @ f46 ) @ ( B @ ( A @ f46 ) @ p43 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p43_109) ).
thf(172,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p45 ) )
| ~ ( D @ ( B @ p18 ) )
| ( D @ ( C @ f46 ) @ ( B @ ( A @ f46 ) @ p43 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p53 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p53_11) ).
thf(219,plain,
! [A: $i] : ( A @ ( A @ p53 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p57 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_8) ).
thf(230,plain,
! [A: $i] : ( A @ ( A @ p57 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,negated_conjecture,
! [A: $i] : ( A @ ( A @ p47 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_15) ).
thf(245,plain,
! [A: $i] : ( A @ ( A @ p47 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(126,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c76 @ ( c75 @ f8 ) @ ( c89 @ f32 ) @ ( c88 @ f30 ) @ ( C @ ( D @ ( B @ ( A @ ( c87 @ f46 ) @ f44 ) @ f42 ) @ f40 ) @ ( D @ f38 ) @ ( c86 @ f36 ) @ p69 ) )
| ~ ( C @ ( D @ ( c84 @ f26 ) @ f23 ) @ ( B @ p14 ) )
| ~ ( A @ ( c77 @ ( c78 @ f12 ) @ p66 ) )
| ~ ( c82 @ ( C @ ( c80 @ f16 ) @ p67 ) )
| ( B @ ( A @ ( c77 @ ( c83 @ f21 ) @ f19 ) @ p68 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_126) ).
thf(241,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c76 @ ( c75 @ f8 ) @ ( c89 @ f32 ) @ ( c88 @ f30 ) @ ( C @ ( D @ ( B @ ( A @ ( c87 @ f46 ) @ f44 ) @ f42 ) @ f40 ) @ ( D @ f38 ) @ ( c86 @ f36 ) @ p69 ) )
| ~ ( C @ ( D @ ( c84 @ f26 ) @ f23 ) @ ( B @ p14 ) )
| ~ ( A @ ( c77 @ ( c78 @ f12 ) @ p66 ) )
| ~ ( c82 @ ( C @ ( c80 @ f16 ) @ p67 ) )
| ( B @ ( A @ ( c77 @ ( c83 @ f21 ) @ f19 ) @ p68 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(303,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c76 @ ( c75 @ f8 ) @ ( c89 @ f32 ) @ ( c88 @ f30 ) @ ( C @ ( D @ ( B @ ( A @ ( c87 @ f46 ) @ f44 ) @ f42 ) @ f40 ) @ ( D @ f38 ) @ ( c86 @ f36 ) @ p69 ) )
| ~ ( C @ ( D @ ( c84 @ f26 ) @ f23 ) @ ( B @ p14 ) )
| ~ ( A @ ( c77 @ ( c78 @ f12 ) @ p66 ) )
| ~ ( c82 @ ( C @ ( c80 @ f16 ) @ p67 ) )
| ( B @ ( A @ ( c77 @ ( c83 @ f21 ) @ f19 ) @ p68 ) ) ),
inference(cnf,[status(esa)],[241]) ).
thf(35,negated_conjecture,
! [A: $i] : ( A @ ( A @ p18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_35) ).
thf(208,plain,
! [A: $i] : ( A @ ( A @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(14,negated_conjecture,
! [A: $i] : ( A @ ( A @ p48 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_14) ).
thf(140,plain,
! [A: $i] : ( A @ ( A @ p48 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,negated_conjecture,
! [A: $i] : ( A @ ( A @ p41 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p41_18) ).
thf(213,plain,
! [A: $i] : ( A @ ( A @ p41 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
thf(155,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(76,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p33 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p33 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_76) ).
thf(198,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p33 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p63 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_4) ).
thf(240,plain,
! [A: $i] : ( A @ ( A @ p63 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(90,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_90) ).
thf(251,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(115,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p34 ) )
| ~ ( C @ ( A @ p33 ) )
| ( D @ ( C @ f36 ) @ ( B @ ( A @ f36 ) @ p35 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_115) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p34 ) )
| ~ ( C @ ( A @ p33 ) )
| ( D @ ( C @ f36 ) @ ( B @ ( A @ f36 ) @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(87,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_87) ).
thf(223,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(42,negated_conjecture,
c82 @ ( c81 @ ( c80 @ f16 ) @ p67 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_42) ).
thf(135,plain,
c82 @ ( c81 @ ( c80 @ f16 ) @ p67 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(26,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).
thf(226,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(92,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_92) ).
thf(167,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(70,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p41 ) )
| ~ ( A @ ( C @ p41 ) )
| ( B @ ( A @ p41 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p41_70) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p41 ) )
| ~ ( A @ ( C @ p41 ) )
| ( B @ ( A @ p41 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(112,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p41 ) )
| ~ ( D @ ( B @ p25 ) )
| ( D @ ( C @ f42 ) @ ( B @ ( A @ f42 ) @ p39 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_112) ).
thf(209,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p41 ) )
| ~ ( D @ ( B @ p25 ) )
| ( D @ ( C @ f42 ) @ ( B @ ( A @ f42 ) @ p39 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(49,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c86 @ f36 ) @ p69 ) )
| ( B @ ( A @ p70 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p70_49) ).
thf(194,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c86 @ f36 ) @ p69 ) )
| ( B @ ( A @ p70 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(93,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p28 ) )
| ~ ( C @ ( D @ p73 ) )
| ~ ( B @ ( C @ p56 ) )
| ( B @ ( A @ p73 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p73_93) ).
thf(145,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p28 ) )
| ~ ( C @ ( D @ p73 ) )
| ~ ( B @ ( C @ p56 ) )
| ( B @ ( A @ p73 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(121,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p25 ) )
| ~ ( C @ ( A @ p24 ) )
| ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_121) ).
thf(150,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p25 ) )
| ~ ( C @ ( A @ p24 ) )
| ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p59 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_7) ).
thf(199,plain,
! [A: $i] : ( A @ ( A @ p59 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(69,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p43 ) )
| ~ ( A @ ( C @ p43 ) )
| ( B @ ( A @ p43 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p43_69) ).
thf(127,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p43 ) )
| ~ ( A @ ( C @ p43 ) )
| ( B @ ( A @ p43 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(41,negated_conjecture,
c79 @ ( c77 @ ( c78 @ f12 ) @ p66 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p66_41) ).
thf(177,plain,
c79 @ ( c77 @ ( c78 @ f12 ) @ p66 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(64,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p52 ) )
| ~ ( A @ ( C @ p52 ) )
| ( B @ ( A @ p52 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p52_64) ).
thf(182,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p52 ) )
| ~ ( A @ ( C @ p52 ) )
| ( B @ ( A @ p52 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(116,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p48 ) )
| ~ ( C @ ( A @ p47 ) )
| ( D @ ( C @ f49 ) @ ( B @ ( A @ f49 ) @ p34 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_116) ).
thf(154,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p48 ) )
| ~ ( C @ ( A @ p47 ) )
| ( D @ ( C @ f49 ) @ ( B @ ( A @ f49 ) @ p34 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(96,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p15 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( D @ ( C @ p67 ) )
| ( B @ ( A @ p67 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_96) ).
thf(175,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p15 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( D @ ( C @ p67 ) )
| ( B @ ( A @ p67 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(20,negated_conjecture,
! [A: $i] : ( A @ ( A @ p39 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_20) ).
thf(143,plain,
! [A: $i] : ( A @ ( A @ p39 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(91,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_91) ).
thf(203,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(31,negated_conjecture,
! [A: $i] : ( A @ ( A @ p24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_31) ).
thf(218,plain,
! [A: $i] : ( A @ ( A @ p24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(100,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p48 ) )
| ~ ( D @ ( C @ p71 ) )
| ~ ( A @ ( C @ p53 ) )
| ( B @ ( A @ p71 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p71_100) ).
thf(250,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p48 ) )
| ~ ( D @ ( C @ p71 ) )
| ~ ( A @ ( C @ p53 ) )
| ( B @ ( A @ p71 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(75,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p34 ) )
| ~ ( A @ ( C @ p34 ) )
| ( B @ ( A @ p34 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_75) ).
thf(231,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p34 ) )
| ~ ( A @ ( C @ p34 ) )
| ( B @ ( A @ p34 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(85,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p20 ) )
| ~ ( A @ ( C @ p20 ) )
| ( B @ ( A @ p20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_85) ).
thf(158,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p20 ) )
| ~ ( A @ ( C @ p20 ) )
| ( B @ ( A @ p20 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(22,negated_conjecture,
! [A: $i] : ( A @ ( A @ p35 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_22) ).
thf(186,plain,
! [A: $i] : ( A @ ( A @ p35 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(53,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_53) ).
thf(171,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(52,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p70 ) )
| ( B @ ( A @ ( c86 @ f36 ) @ p69 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p69_52) ).
thf(139,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p70 ) )
| ( B @ ( A @ ( c86 @ f36 ) @ p69 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(80,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p28 ) )
| ~ ( A @ ( C @ p28 ) )
| ( B @ ( A @ p28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_80) ).
thf(207,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p28 ) )
| ~ ( A @ ( C @ p28 ) )
| ( B @ ( A @ p28 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(95,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p11 ) )
| ~ ( C @ ( D @ p66 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p66 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p66_95) ).
thf(214,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p11 ) )
| ~ ( C @ ( D @ p66 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p66 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(36,negated_conjecture,
! [A: $i] : ( A @ ( A @ p17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_36) ).
thf(235,plain,
! [A: $i] : ( A @ ( A @ p17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(68,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p45 ) )
| ~ ( A @ ( C @ p45 ) )
| ( B @ ( A @ p45 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_68) ).
thf(246,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p45 ) )
| ~ ( A @ ( C @ p45 ) )
| ( B @ ( A @ p45 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(84,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p22 ) )
| ~ ( A @ ( C @ p22 ) )
| ( B @ ( A @ p22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_84) ).
thf(151,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p22 ) )
| ~ ( A @ ( C @ p22 ) )
| ( B @ ( A @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(65,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p50 ) )
| ~ ( A @ ( C @ p50 ) )
| ( B @ ( A @ p50 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p50_65) ).
thf(168,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p50 ) )
| ~ ( A @ ( C @ p50 ) )
| ( B @ ( A @ p50 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(57,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p61 ) )
| ~ ( A @ ( C @ p61 ) )
| ( B @ ( A @ p61 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p61_57) ).
thf(146,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p61 ) )
| ~ ( A @ ( C @ p61 ) )
| ( B @ ( A @ p61 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(118,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_118) ).
thf(190,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(17,negated_conjecture,
! [A: $i] : ( A @ ( A @ p43 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p43_17) ).
thf(183,plain,
! [A: $i] : ( A @ ( A @ p43 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(123,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p14 ) )
| ~ ( C @ ( A @ p13 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p15 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_123) ).
thf(210,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p14 ) )
| ~ ( C @ ( A @ p13 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(24,negated_conjecture,
! [A: $i] : ( A @ ( A @ p33 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_24) ).
thf(136,plain,
! [A: $i] : ( A @ ( A @ p33 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(86,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_86) ).
thf(195,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(107,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p52 ) )
| ~ ( D @ ( B @ p29 ) )
| ( D @ ( C @ f54 ) @ ( B @ ( A @ f54 ) @ p53 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p53_107) ).
thf(239,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p52 ) )
| ~ ( D @ ( B @ p29 ) )
| ( D @ ( C @ f54 ) @ ( B @ ( A @ f54 ) @ p53 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(79,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p29 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_79) ).
thf(242,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p29 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p61 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p61_5) ).
thf(131,plain,
! [A: $i] : ( A @ ( A @ p61 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(73,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p37 ) )
| ~ ( A @ ( C @ p37 ) )
| ( B @ ( A @ p37 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_73) ).
thf(178,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p37 ) )
| ~ ( A @ ( C @ p37 ) )
| ( B @ ( A @ p37 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(21,negated_conjecture,
! [A: $i] : ( A @ ( A @ p37 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_21) ).
thf(163,plain,
! [A: $i] : ( A @ ( A @ p37 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(39,negated_conjecture,
! [A: $i] : ( A @ ( A @ p13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_39) ).
thf(200,plain,
! [A: $i] : ( A @ ( A @ p13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(23,negated_conjecture,
! [A: $i] : ( A @ ( A @ p34 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_23) ).
thf(227,plain,
! [A: $i] : ( A @ ( A @ p34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(50,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p68 ) )
| ( B @ ( A @ ( c80 @ f16 ) @ p67 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_50) ).
thf(215,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p68 ) )
| ( B @ ( A @ ( c80 @ f16 ) @ p67 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(99,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p29 ) )
| ~ ( C @ ( D @ p70 ) )
| ~ ( B @ ( C @ p34 ) )
| ( B @ ( A @ p70 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p70_99) ).
thf(222,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p29 ) )
| ~ ( C @ ( D @ p70 ) )
| ~ ( B @ ( C @ p34 ) )
| ( B @ ( A @ p70 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(82,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p25 ) )
| ~ ( A @ ( C @ p25 ) )
| ( B @ ( A @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_82) ).
thf(232,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p25 ) )
| ~ ( A @ ( C @ p25 ) )
| ( B @ ( A @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(17076,plain,
$false,
inference(e,[status(thm)],[138,249,234,170,217,247,202,1437,142,153,174,185,184,344,196,157,189,152,228,216,164,179,211,238,147,221,132,133,243,206,233,248,270,201,220,160,192,137,165,229,252,197,224,156,188,169,141,225,193,212,173,129,134,244,205,128,237,166,148,161,149,180,296,176,191,204,144,236,181,159,187,172,219,230,245,303,208,140,213,155,198,240,251,130,223,135,226,241,167,162,209,194,145,690,150,199,127,177,182,154,175,143,203,218,368,250,231,158,186,171,139,207,214,235,246,151,168,146,190,183,210,136,195,239,242,427,131,178,163,200,227,215,222,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.22/0.49 % Computer : n018.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sat Sep 26 18:24:22 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 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
% 1.42/1.34 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.95/1.70 % [INFO] Parsing done (354ms).
% 2.40/1.72 % [INFO] Running in sequential loop mode.
% 3.86/2.32 % [INFO] eprover registered as external prover.
% 3.86/2.33 % [INFO] Scanning for conjecture ...
% 4.48/2.68 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 5.24/2.92 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 5.24/2.92 % [INFO] Problem is propositional (TPTP CNF).
% 5.24/2.93 % [INFO] Type checking passed.
% 5.24/2.94 % [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 ...
% 138.68/76.34 % External prover 'e' found a proof!
% 138.68/76.34 % [INFO] Killing All external provers ...
% 138.68/76.34 % Time passed: 75636ms (effective reasoning time: 74617ms)
% 138.68/76.35 % Axioms used in derivation (0):
% 138.68/76.35 % No. of inferences in proof: 275
% 138.68/76.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 75636 ms resp. 74617 ms w/o parsing
% 139.24/76.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 139.24/76.53 % [INFO] Killing All external provers ...
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