%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN701-1 : 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 : n002.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 09:18:11 AM UTC 2026
% Result : Unsatisfiable 29.61s 7.48s
% Output : Refutation 26.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 74
% Syntax : Number of formulae : 167 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 358 ( 23 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1644 ( 195 ~; 175 |; 0 &;1274 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 47 usr; 17 con; 0-3 aty)
% Number of variables : 267 ( 0 ^; 267 !; 0 ?; 267 :)
% Comments :
%------------------------------------------------------------------------------
thf(p25_decl,type,
p25: $i > $o ).
thf(c34_decl,type,
c34: $i ).
thf(p29_decl,type,
p29: $i > $o ).
thf(c36_decl,type,
c36: $i ).
thf(p30_decl,type,
p30: $i > $o ).
thf(f18_decl,type,
f18: $i > $i ).
thf(c41_decl,type,
c41: $i ).
thf(p28_decl,type,
p28: $i > $o ).
thf(f16_decl,type,
f16: $i > $i ).
thf(c38_decl,type,
c38: $i ).
thf(c39_decl,type,
c39: $i ).
thf(c40_decl,type,
c40: $i ).
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p17_decl,type,
p17: $i > $i > $o ).
thf(p14_decl,type,
p14: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(c44_decl,type,
c44: $i ).
thf(c46_decl,type,
c46: $i ).
thf(p31_decl,type,
p31: $i > $i > $o ).
thf(c47_decl,type,
c47: $i ).
thf(c42_decl,type,
c42: $i ).
thf(f5_decl,type,
f5: $i > $i ).
thf(f8_decl,type,
f8: $i > $i ).
thf(c35_decl,type,
c35: $i ).
thf(p32_decl,type,
p32: $i > $i > $o ).
thf(f22_decl,type,
f22: $i > $i > $i ).
thf(c45_decl,type,
c45: $i ).
thf(c48_decl,type,
c48: $i ).
thf(c43_decl,type,
c43: $i ).
thf(f23_decl,type,
f23: $i > $i > $i ).
thf(f9_decl,type,
f9: $i > $i ).
thf(f20_decl,type,
f20: $i > $i ).
thf(c37_decl,type,
c37: $i ).
thf(p26_decl,type,
p26: $i > $i > $i > $o ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f24_decl,type,
f24: $i > $i ).
thf(p33_decl,type,
p33: $i > $i > $o ).
thf(f11_decl,type,
f11: $i > $i > $i ).
thf(p27_decl,type,
p27: $i > $i > $o ).
thf(f19_decl,type,
f19: $i > $i > $i ).
thf(f13_decl,type,
f13: $i > $i > $i ).
thf(f15_decl,type,
f15: $i > $i > $i ).
thf(30,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f8 @ ( A @ f8 @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_30) ).
thf(142,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f8 @ ( A @ f8 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(36,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p17 ) )
| ( B @ f18 @ ( A @ f18 @ p17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_36) ).
thf(141,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p17 ) )
| ( B @ f18 @ ( A @ f18 @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(67,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( c47 @ p31 ) )
| ~ ( c42 @ ( A @ p31 ) )
| ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( A @ f4 @ f11 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_67) ).
thf(129,plain,
! [A: $i] :
( ~ ( A @ ( c47 @ p31 ) )
| ~ ( c42 @ ( A @ p31 ) )
| ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( A @ f4 @ f11 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(62,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p3 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
thf(148,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p3 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(6,negated_conjecture,
c40 @ f18 @ p30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f18_is_p30_6) ).
thf(95,plain,
c40 @ f18 @ p30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,negated_conjecture,
c42 @ f5 @ ( c46 @ p31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_18) ).
thf(127,plain,
c42 @ f5 @ ( c46 @ p31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p31 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_51) ).
thf(143,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p31 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(15,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_15) ).
thf(146,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(31,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_31) ).
thf(131,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(23,negated_conjecture,
c46 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ p31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_23) ).
thf(138,plain,
c46 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ p31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(38,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_38) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(20,negated_conjecture,
c36 @ ( c35 @ f8 @ p7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_20) ).
thf(88,plain,
c36 @ ( c35 @ f8 @ p7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(59,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_59) ).
thf(115,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(49,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p33 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_49) ).
thf(120,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p33 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(17,negated_conjecture,
c42 @ ( c47 @ p31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_17) ).
thf(110,plain,
c42 @ ( c47 @ p31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(48,negated_conjecture,
! [A: $i] :
( ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( c44 @ ( A @ p31 ) )
| ( c42 @ f5 @ ( A @ f24 @ p31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_48) ).
thf(125,plain,
! [A: $i] :
( ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( c44 @ ( A @ p31 ) )
| ( c42 @ f5 @ ( A @ f24 @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,negated_conjecture,
c34 @ p25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34_is_p25_1) ).
thf(93,plain,
c34 @ p25,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(66,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( c42 @ f4 @ f11 ) @ ( A @ ( c42 @ f5 @ f4 @ f11 ) @ p33 ) )
| ( c43 @ ( A @ ( c34 @ f22 ) @ p32 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_66) ).
thf(78,plain,
! [A: $i] :
( ~ ( A @ ( c42 @ f4 @ f11 ) @ ( A @ ( c42 @ f5 @ f4 @ f11 ) @ p33 ) )
| ( c43 @ ( A @ ( c34 @ f22 ) @ p32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(73,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ f13 ) @ ( B @ ( F @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ~ ( E @ ( D @ f13 ) @ ( A @ ( C @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_73) ).
thf(106,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ f13 ) @ ( B @ ( F @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ~ ( E @ ( D @ f13 ) @ ( A @ ( C @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
thf(121,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,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_37) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(68,negated_conjecture,
! [A: $i] :
( ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( A @ ( c44 @ p31 ) )
| ( c43 @ ( c44 @ f4 @ f11 ) @ ( c43 @ ( A @ f4 @ f11 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_68) ).
thf(147,plain,
! [A: $i] :
( ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( A @ ( c44 @ p31 ) )
| ( c43 @ ( c44 @ f4 @ f11 ) @ ( c43 @ ( A @ f4 @ f11 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_11) ).
thf(132,plain,
! [A: $i] : ( A @ ( A @ p21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p7 ) )
| ~ ( B @ p29 )
| ( A @ p29 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_27) ).
thf(116,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p7 ) )
| ~ ( B @ p29 )
| ( A @ p29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(65,negated_conjecture,
c43 @ ( c42 @ f4 @ f11 ) @ ( c37 @ f20 @ f9 @ ( c43 @ ( c42 @ f5 @ f4 @ f11 ) @ f19 ) @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_65) ).
thf(77,plain,
c43 @ ( c42 @ f4 @ f11 ) @ ( c37 @ f20 @ f9 @ ( c43 @ ( c42 @ f5 @ f4 @ f11 ) @ f19 ) @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(57,negated_conjecture,
~ ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_57) ).
thf(90,plain,
~ ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(192,plain,
~ ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) ),
inference(polarity_switch,[status(thm)],[90]) ).
thf(194,plain,
( ( ( c43 @ ( c42 @ f4 @ f11 ) @ ( c37 @ f20 @ f9 @ ( c43 @ ( c42 @ f5 @ f4 @ f11 ) @ f19 ) @ p2 ) )
!= ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[77,192]) ).
thf(195,plain,
( ( c43 @ ( c42 @ f4 @ f11 ) @ ( c37 @ f20 @ f9 @ ( c43 @ ( c42 @ f5 @ f4 @ f11 ) @ f19 ) @ p2 ) )
!= ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) ) ),
inference(simp,[status(thm)],[194]) ).
thf(198,plain,
( ( ( c43 @ ( c42 @ f4 @ f11 ) )
!= ( c48 @ ( c47 @ f4 @ f11 ) ) )
| ( ( c37 @ f20 @ f9 @ ( c43 @ ( c42 @ f5 @ f4 @ f11 ) @ f19 ) )
!= ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) ) ) ),
inference(simp,[status(thm)],[195]) ).
thf(206,plain,
( ( c43 != c48 )
| ( ( c42 @ f4 )
!= ( c47 @ f4 ) )
| ( ( c37 @ f20 @ f9 @ ( c43 @ ( c42 @ f5 @ f4 @ f11 ) @ f19 ) )
!= ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) ) ) ),
inference(simp,[status(thm)],[198]) ).
thf(46,negated_conjecture,
c45 @ ( c42 @ f4 @ f11 ) @ ( c45 @ ( c42 @ f5 @ f4 @ f11 ) @ p33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_46) ).
thf(89,plain,
c45 @ ( c42 @ f4 @ f11 ) @ ( c45 @ ( c42 @ f5 @ f4 @ f11 ) @ p33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(72,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ f13 ) @ ( C @ ( A @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ~ ( c37 @ f9 @ ( A @ ( C @ f4 @ f11 ) @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_72) ).
thf(133,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ f13 ) @ ( C @ ( A @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ~ ( c37 @ f9 @ ( A @ ( C @ f4 @ f11 ) @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(71,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( F @ p26 ) ) )
| ~ ( A @ ( F @ p21 ) )
| ~ ( B @ ( E @ p3 ) )
| ~ ( C @ ( D @ p3 ) )
| ( C @ ( B @ ( A @ p26 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_71) ).
thf(117,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( F @ p26 ) ) )
| ~ ( A @ ( F @ p21 ) )
| ~ ( B @ ( E @ p3 ) )
| ~ ( C @ ( D @ p3 ) )
| ( C @ ( B @ ( A @ p26 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(25,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p21 ) )
| ~ ( B @ p25 )
| ( A @ p25 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).
thf(85,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p21 ) )
| ~ ( B @ p25 )
| ( A @ p25 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).
thf(102,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(55,negated_conjecture,
c43 @ ( c44 @ f4 @ f11 ) @ ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_55) ).
thf(137,plain,
c43 @ ( c44 @ f4 @ f11 ) @ ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(61,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).
thf(92,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(70,negated_conjecture,
! [A: $i] :
( ~ ( c43 @ ( A @ f4 @ f11 ) @ ( c43 @ ( A @ f24 @ f4 @ f11 ) @ p2 ) )
| ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( c44 @ ( A @ p31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p31_70) ).
thf(97,plain,
! [A: $i] :
( ~ ( c43 @ ( A @ f4 @ f11 ) @ ( c43 @ ( A @ f24 @ f4 @ f11 ) @ p2 ) )
| ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( c44 @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(64,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_64) ).
thf(109,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(35,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f20 @ ( A @ f20 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_35) ).
thf(124,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f20 @ ( A @ f20 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(60,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f23 ) @ ( B @ ( A @ f23 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_60) ).
thf(96,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f23 ) @ ( B @ ( A @ f23 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(43,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_43) ).
thf(134,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(50,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p12 ) )
| ~ ( D @ ( C @ p27 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_50) ).
thf(128,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p12 ) )
| ~ ( D @ ( C @ p27 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p27 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(41,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_41) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(16,negated_conjecture,
c46 @ ( c44 @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
thf(130,plain,
c46 @ ( c44 @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(56,negated_conjecture,
~ ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) @ ( c43 @ ( c46 @ f4 @ f11 ) @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_56) ).
thf(81,plain,
~ ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) @ ( c43 @ ( c46 @ f4 @ f11 ) @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(176,plain,
~ ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) @ ( c43 @ ( c46 @ f4 @ f11 ) @ p2 ) ),
inference(polarity_switch,[status(thm)],[81]) ).
thf(202,plain,
( ( ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) @ ( c43 @ ( c46 @ f4 @ f11 ) @ p2 ) )
!= ( c46 @ ( c44 @ p2 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,176]) ).
thf(203,plain,
( ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) @ ( c43 @ ( c46 @ f4 @ f11 ) @ p2 ) )
!= ( c46 @ ( c44 @ p2 ) ) ),
inference(simp,[status(thm)],[202]) ).
thf(205,plain,
( ( ( c43 @ ( c37 @ f20 @ f9 @ ( c44 @ f23 ) @ f4 @ f11 ) )
!= c46 )
| ( ( c43 @ ( c46 @ f4 @ f11 ) )
!= c44 ) ),
inference(simp,[status(thm)],[203]) ).
thf(12,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
thf(118,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(200,plain,
( ( ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) )
!= ( c46 @ ( c44 @ p2 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[130,192]) ).
thf(201,plain,
( ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) )
!= ( c46 @ ( c44 @ p2 ) ) ),
inference(simp,[status(thm)],[200]) ).
thf(204,plain,
( ( ( c48 @ ( c47 @ f4 @ f11 ) )
!= c46 )
| ( ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) )
!= c44 ) ),
inference(simp,[status(thm)],[201]) ).
thf(19,negated_conjecture,
c42 @ f5 @ ( c44 @ p31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_19) ).
thf(144,plain,
c42 @ f5 @ ( c44 @ p31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(52,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p32 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p32 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_52) ).
thf(86,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p32 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(22,negated_conjecture,
c43 @ ( c45 @ ( c34 @ f22 ) @ p32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_22) ).
thf(113,plain,
c43 @ ( c45 @ ( c34 @ f22 ) @ p32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(5,negated_conjecture,
c39 @ f16 @ p28,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f16_is_p28_5) ).
thf(76,plain,
c39 @ f16 @ p28,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,negated_conjecture,
c48 @ ( c45 @ ( c34 @ f22 ) @ p32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_21) ).
thf(98,plain,
c48 @ ( c45 @ ( c34 @ f22 ) @ p32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(53,negated_conjecture,
c37 @ f20 @ f9 @ ( c48 @ ( c42 @ f4 @ f11 ) @ f19 ) @ ( c48 @ ( c47 @ f4 @ f11 ) @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_53) ).
thf(103,plain,
c37 @ f20 @ f9 @ ( c48 @ ( c42 @ f4 @ f11 ) @ f19 ) @ ( c48 @ ( c47 @ f4 @ f11 ) @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(58,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( c42 @ f4 @ f11 ) @ ( A @ ( c42 @ f5 @ f4 @ f11 ) @ p31 ) )
| ( c43 @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_58) ).
thf(140,plain,
! [A: $i] :
( ~ ( A @ ( c42 @ f4 @ f11 ) @ ( A @ ( c42 @ f5 @ f4 @ f11 ) @ p31 ) )
| ( c43 @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(29,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p14 ) )
| ( B @ f16 @ ( A @ f16 @ p14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_29) ).
thf(91,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p14 ) )
| ( B @ f16 @ ( A @ f16 @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(45,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_45) ).
thf(108,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(208,plain,
! [A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[118,192]) ).
thf(209,plain,
! [A: $i] :
( ( A @ ( A @ p2 ) )
!= ( c48 @ ( c47 @ f4 @ f11 ) @ ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) @ p2 ) ) ),
inference(simp,[status(thm)],[208]) ).
thf(212,plain,
! [A: $i] :
( ( A
!= ( c48 @ ( c47 @ f4 @ f11 ) ) )
| ( A
!= ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) ) ) ),
inference(simp,[status(thm)],[209]) ).
thf(214,plain,
( ( c48 @ ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 @ f11 ) )
!= ( c48 @ ( c47 @ f4 @ f11 ) ) ),
inference(simp,[status(thm)],[212]) ).
thf(222,plain,
( ( c48 != c48 )
| ( ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 )
!= ( c47 @ f4 ) ) ),
inference(simp,[status(thm)],[214]) ).
thf(223,plain,
( ( c37 @ f20 @ f9 @ ( c47 @ f23 ) @ f4 )
!= ( c47 @ f4 ) ),
inference(simp,[status(thm)],[222]) ).
thf(40,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_40) ).
thf(135,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_10) ).
thf(80,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f24 @ ( A @ f24 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
thf(112,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f24 @ ( A @ f24 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(3,negated_conjecture,
c41 @ f18 @ p30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f18_is_p30_3) ).
thf(123,plain,
c41 @ f18 @ p30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(47,negated_conjecture,
! [A: $i] :
( ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( c44 @ ( A @ p31 ) )
| ( A @ f24 @ ( A @ p31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_47) ).
thf(145,plain,
! [A: $i] :
( ~ ( c42 @ f5 @ ( A @ p31 ) )
| ~ ( c44 @ ( A @ p31 ) )
| ( A @ f24 @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(33,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_33) ).
thf(99,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(14,negated_conjecture,
! [A: $i] : ( A @ ( A @ p14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_14) ).
thf(87,plain,
! [A: $i] : ( A @ ( A @ p14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(13,negated_conjecture,
! [A: $i] : ( A @ ( A @ p17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_13) ).
thf(104,plain,
! [A: $i] : ( A @ ( A @ p17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(44,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_44) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_8) ).
thf(139,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(69,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ f13 ) @ ( C @ ( A @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ( B @ ( A @ ( c34 @ f22 ) @ p32 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_69) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ f13 ) @ ( C @ ( A @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ( B @ ( A @ ( c34 @ f22 ) @ p32 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(54,negated_conjecture,
c45 @ ( c37 @ f20 @ f9 @ ( c42 @ f23 ) @ f4 @ f11 ) @ ( c45 @ ( c42 @ f4 @ f11 ) @ p33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_54) ).
thf(119,plain,
c45 @ ( c37 @ f20 @ f9 @ ( c42 @ f23 ) @ f4 @ f11 ) @ ( c45 @ ( c42 @ f4 @ f11 ) @ p33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(42,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_42) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(2,negated_conjecture,
c36 @ p29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c36_is_p29_2) ).
thf(107,plain,
c36 @ p29,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
c38 @ f16 @ p28,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f16_is_p28_4) ).
thf(79,plain,
c38 @ f16 @ p28,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(74,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ f13 ) @ ( C @ ( A @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ( B @ ( D @ f4 @ f11 ) @ ( B @ ( C @ f4 @ f11 ) @ p31 ) )
| ( B @ ( A @ ( c34 @ f22 ) @ p32 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_74) ).
thf(94,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ f13 ) @ ( C @ ( A @ f13 ) @ ( c36 @ f15 ) @ p27 ) )
| ( B @ ( D @ f4 @ f11 ) @ ( B @ ( C @ f4 @ f11 ) @ p31 ) )
| ( B @ ( A @ ( c34 @ f22 ) @ p32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(63,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p21 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_63) ).
thf(126,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p21 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(26,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p17 ) )
| ~ ( B @ p30 )
| ( A @ p30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_26) ).
thf(136,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p17 ) )
| ~ ( B @ p30 )
| ( A @ p30 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(39,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_39) ).
thf(122,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(24,negated_conjecture,
! [A: $i] : ( A @ f4 @ ( A @ f5 @ f4 @ ( c34 @ p26 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_24) ).
thf(83,plain,
! [A: $i] : ( A @ f4 @ ( A @ f5 @ f4 @ ( c34 @ p26 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(28,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p14 ) )
| ~ ( B @ p28 )
| ( A @ p28 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_28) ).
thf(100,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p14 ) )
| ~ ( B @ p28 )
| ( A @ p28 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(32,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f9 @ ( A @ f9 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_32) ).
thf(111,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f9 @ ( A @ f9 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(1552,plain,
$false,
inference(e,[status(thm)],[142,141,129,148,95,127,143,146,131,138,101,88,115,120,110,125,93,78,106,121,84,147,132,116,206,89,133,117,85,102,192,137,92,97,109,124,77,96,134,128,105,205,176,118,204,144,86,113,81,76,98,103,140,91,198,108,130,223,135,80,112,123,145,99,87,104,114,139,75,119,82,214,107,79,94,126,136,122,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN701-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.10 % 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
% 0.18/0.44 % Computer : n002.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 18:23:21 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 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
% 1.05/1.08 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.65/1.31 % [INFO] Parsing done (233ms).
% 1.65/1.33 % [INFO] Running in sequential loop mode.
% 2.74/1.94 % [INFO] eprover registered as external prover.
% 2.74/1.95 % [INFO] Scanning for conjecture ...
% 3.39/2.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.81/2.40 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.81/2.40 % [INFO] Problem is propositional (TPTP CNF).
% 3.81/2.41 % [INFO] Type checking passed.
% 3.81/2.41 % [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 ...
% 29.61/7.47 % External prover 'e' found a proof!
% 29.61/7.48 % [INFO] Killing All external provers ...
% 29.61/7.48 % Time passed: 6867ms (effective reasoning time: 6144ms)
% 29.61/7.48 % Axioms used in derivation (0):
% 29.61/7.48 % No. of inferences in proof: 167
% 29.61/7.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 6867 ms resp. 6144 ms w/o parsing
% 26.73/7.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 26.73/7.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------