TSTP Solution File: SYN712-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN712-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:29:44 EDT 2023
% Result : Unsatisfiable 5.07s 2.27s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 179
% Syntax : Number of formulae : 284 ( 73 unt; 75 typ; 0 def)
% Number of atoms : 473 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 2020 ( 268 ~; 264 |; 0 &;1488 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 124 ( 124 >; 0 *; 0 +; 0 <<)
% Number of symbols : 76 ( 75 usr; 14 con; 0-2 aty)
% Number of variables : 570 ( 0 ^; 570 !; 0 ?; 570 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_type,type,
p10: $i > $i > $o ).
thf(p9_type,type,
p9: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p60_type,type,
p60: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p58_type,type,
p58: $i > $i > $o ).
thf(p56_type,type,
p56: $i > $i > $o ).
thf(p54_type,type,
p54: $i > $i > $o ).
thf(p52_type,type,
p52: $i > $i > $o ).
thf(p50_type,type,
p50: $i > $i > $o ).
thf(p48_type,type,
p48: $i > $i > $o ).
thf(p46_type,type,
p46: $i > $i > $o ).
thf(p44_type,type,
p44: $i > $i > $o ).
thf(p42_type,type,
p42: $i > $i > $o ).
thf(p40_type,type,
p40: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $i > $o ).
thf(p38_type,type,
p38: $i > $i > $o ).
thf(p35_type,type,
p35: $i > $i > $o ).
thf(p34_type,type,
p34: $i > $i > $o ).
thf(p32_type,type,
p32: $i > $i > $o ).
thf(p30_type,type,
p30: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p28_type,type,
p28: $i > $i > $o ).
thf(p26_type,type,
p26: $i > $i > $o ).
thf(p24_type,type,
p24: $i > $i > $o ).
thf(p22_type,type,
p22: $i > $i > $o ).
thf(p20_type,type,
p20: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p18_type,type,
p18: $i > $i > $o ).
thf(p17_type,type,
p17: $i > $i > $o ).
thf(p15_type,type,
p15: $i > $i > $o ).
thf(p14_type,type,
p14: $i > $i > $o ).
thf(p12_type,type,
p12: $i > $i > $o ).
thf(p62_type,type,
p62: $i > $i > $o ).
thf(f5_type,type,
f5: $i > $i > $i ).
thf(c64_type,type,
c64: $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(f11_type,type,
f11: $i > $i > $i ).
thf(f13_type,type,
f13: $i > $i > $i ).
thf(c65_type,type,
c65: $i ).
thf(c66_type,type,
c66: $i ).
thf(c67_type,type,
c67: $i ).
thf(c68_type,type,
c68: $i ).
thf(c69_type,type,
c69: $i ).
thf(p63_type,type,
p63: $i > $i > $o ).
thf(f43_type,type,
f43: $i > $i > $i ).
thf(f53_type,type,
f53: $i > $i > $i ).
thf(f61_type,type,
f61: $i > $i > $i ).
thf(f59_type,type,
f59: $i > $i > $i ).
thf(f57_type,type,
f57: $i > $i > $i ).
thf(f55_type,type,
f55: $i > $i > $i ).
thf(f51_type,type,
f51: $i > $i > $i ).
thf(f49_type,type,
f49: $i > $i > $i ).
thf(f47_type,type,
f47: $i > $i > $i ).
thf(f45_type,type,
f45: $i > $i > $i ).
thf(f23_type,type,
f23: $i > $i > $i ).
thf(f41_type,type,
f41: $i > $i > $i ).
thf(f36_type,type,
f36: $i > $i > $i ).
thf(f39_type,type,
f39: $i > $i > $i ).
thf(f16_type,type,
f16: $i > $i > $i ).
thf(f31_type,type,
f31: $i > $i > $i ).
thf(f29_type,type,
f29: $i > $i > $i ).
thf(f27_type,type,
f27: $i > $i > $i ).
thf(f25_type,type,
f25: $i > $i > $i ).
thf(f37_type,type,
f37: $i > $i > $i ).
thf(f21_type,type,
f21: $i > $i > $i ).
thf(f33_type,type,
f33: $i > $i > $i ).
thf(f19_type,type,
f19: $i > $i > $i ).
thf(c74_type,type,
c74: $i ).
thf(c70_type,type,
c70: $i ).
thf(c71_type,type,
c71: $i ).
thf(c72_type,type,
c72: $i ).
thf(c73_type,type,
c73: $i ).
thf(c76_type,type,
c76: $i ).
thf(c75_type,type,
c75: $i ).
thf(65,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p14 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_65) ).
thf(138,plain,
! [C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p14 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(51,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p35 @ A @ B )
| ~ ( p35 @ C @ A )
| ~ ( p35 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_51) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ( p35 @ A @ B )
| ~ ( p35 @ C @ A )
| ~ ( p35 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(17,negated_conjecture,
! [A: $i] : ( p38 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_17) ).
thf(150,plain,
! [A: $i] : ( p38 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(15,negated_conjecture,
! [A: $i] : ( p40 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40_15) ).
thf(203,plain,
! [A: $i] : ( p40 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
thf(170,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(25,negated_conjecture,
! [A: $i] : ( p24 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_25) ).
thf(115,plain,
! [A: $i] : ( p24 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(93,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ ( f37 @ A @ B ) @ ( f37 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p32 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_93) ).
thf(120,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ ( f37 @ A @ B ) @ ( f37 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p32 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(47,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p42 @ A @ B )
| ~ ( p42 @ C @ A )
| ~ ( p42 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p42_47) ).
thf(202,plain,
! [C: $i,B: $i,A: $i] :
( ( p42 @ A @ B )
| ~ ( p42 @ C @ A )
| ~ ( p42 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(77,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p52 @ ( f55 @ A @ B ) @ ( f55 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p54 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p52_77) ).
thf(142,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p52 @ ( f55 @ A @ B ) @ ( f55 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p54 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(22,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
thf(153,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(63,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p17 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_63) ).
thf(174,plain,
! [C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p17 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(87,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p6 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_87) ).
thf(185,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p6 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(99,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ A @ B )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ C ) @ D ) @ E ) @ F ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).
thf(184,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ A @ B )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ C ) @ D ) @ E ) @ F ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(10,negated_conjecture,
! [A: $i] : ( p50 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p50_10) ).
thf(110,plain,
! [A: $i] : ( p50 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(89,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p28 @ ( f31 @ A @ B ) @ ( f31 @ C @ D ) )
| ~ ( p30 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_89) ).
thf(125,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p28 @ ( f31 @ A @ B ) @ ( f31 @ C @ D ) )
| ~ ( p30 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(30,negated_conjecture,
! [A: $i] : ( p17 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_30) ).
thf(196,plain,
! [A: $i] : ( p17 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(71,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p12 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_71) ).
thf(157,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p12 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(55,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_55) ).
thf(189,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(34,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_34) ).
thf(152,plain,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(7,negated_conjecture,
! [A: $i] : ( p56 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_7) ).
thf(164,plain,
! [A: $i] : ( p56 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,negated_conjecture,
! [A: $i] : ( p4 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).
thf(179,plain,
! [A: $i] : ( p4 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(84,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p38 @ ( f41 @ A @ B ) @ ( f41 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p40 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_84) ).
thf(106,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p38 @ ( f41 @ A @ B ) @ ( f41 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p40 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(57,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p26 @ A @ B )
| ~ ( p26 @ C @ A )
| ~ ( p26 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_57) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ( p26 @ A @ B )
| ~ ( p26 @ C @ A )
| ~ ( p26 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p9 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(147,plain,
! [A: $i] : ( p9 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(70,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ ( f43 @ A @ B ) @ ( f43 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p42 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_70) ).
thf(132,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ ( f43 @ A @ B ) @ ( f43 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p42 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(21,negated_conjecture,
! [A: $i] : ( p30 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_21) ).
thf(133,plain,
! [A: $i] : ( p30 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(52,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p34 @ A @ B )
| ~ ( p34 @ C @ A )
| ~ ( p34 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_52) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ( p34 @ A @ B )
| ~ ( p34 @ C @ A )
| ~ ( p34 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(90,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ ( f29 @ A @ B ) @ ( f29 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p28 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_90) ).
thf(206,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ ( f29 @ A @ B ) @ ( f29 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p28 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(14,negated_conjecture,
! [A: $i] : ( p42 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p42_14) ).
thf(117,plain,
! [A: $i] : ( p42 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(94,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ ( f21 @ A @ B ) @ ( f21 @ C @ D ) )
| ~ ( p20 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_94) ).
thf(201,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ ( f21 @ A @ B ) @ ( f21 @ C @ D ) )
| ~ ( p20 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(49,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_49) ).
thf(160,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(75,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p56 @ ( f59 @ A @ B ) @ ( f59 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p58 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_75) ).
thf(192,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p56 @ ( f59 @ A @ B ) @ ( f59 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p58 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(92,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p22 @ ( f25 @ A @ B ) @ ( f25 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p24 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_92) ).
thf(137,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p22 @ ( f25 @ A @ B ) @ ( f25 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p24 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(39,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p58 @ A @ B )
| ~ ( p58 @ C @ A )
| ~ ( p58 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p58_39) ).
thf(165,plain,
! [C: $i,B: $i,A: $i] :
( ( p58 @ A @ B )
| ~ ( p58 @ C @ A )
| ~ ( p58 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(27,negated_conjecture,
! [A: $i] : ( p20 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_27) ).
thf(156,plain,
! [A: $i] : ( p20 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(26,negated_conjecture,
! [A: $i] : ( p22 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_26) ).
thf(188,plain,
! [A: $i] : ( p22 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(66,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_66) ).
thf(169,plain,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(53,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p32 @ A @ B )
| ~ ( p32 @ C @ A )
| ~ ( p32 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_53) ).
thf(141,plain,
! [C: $i,B: $i,A: $i] :
( ( p32 @ A @ B )
| ~ ( p32 @ C @ A )
| ~ ( p32 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(88,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p14 @ A @ C )
| ~ ( p15 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_88) ).
thf(109,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p14 @ A @ C )
| ~ ( p15 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(61,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
thf(124,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(58,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p24 @ A @ B )
| ~ ( p24 @ C @ A )
| ~ ( p24 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_58) ).
thf(193,plain,
! [C: $i,B: $i,A: $i] :
( ( p24 @ A @ B )
| ~ ( p24 @ C @ A )
| ~ ( p24 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(48,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p40 @ A @ B )
| ~ ( p40 @ C @ A )
| ~ ( p40 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40_48) ).
thf(173,plain,
! [C: $i,B: $i,A: $i] :
( ( p40 @ A @ B )
| ~ ( p40 @ C @ A )
| ~ ( p40 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(60,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p20 @ A @ B )
| ~ ( p20 @ C @ A )
| ~ ( p20 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_60) ).
thf(129,plain,
! [C: $i,B: $i,A: $i] :
( ( p20 @ A @ B )
| ~ ( p20 @ C @ A )
| ~ ( p20 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(33,negated_conjecture,
! [A: $i] : ( p12 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_33) ).
thf(134,plain,
! [A: $i] : ( p12 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p58 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p58_6) ).
thf(128,plain,
! [A: $i] : ( p58 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_5) ).
thf(105,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(62,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p18 @ C @ A )
| ~ ( p18 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_62) ).
thf(205,plain,
! [C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p18 @ C @ A )
| ~ ( p18 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(98,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ ( f5 @ c64 @ ( f8 @ ( f11 @ ( f13 @ c65 @ A ) @ B ) @ C ) ) @ D )
| ~ ( p62 @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_98) ).
thf(166,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ ( f5 @ c64 @ ( f8 @ ( f11 @ ( f13 @ c65 @ A ) @ B ) @ C ) ) @ D )
| ~ ( p62 @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(45,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p46 @ A @ B )
| ~ ( p46 @ C @ A )
| ~ ( p46 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_45) ).
thf(148,plain,
! [C: $i,B: $i,A: $i] :
( ( p46 @ A @ B )
| ~ ( p46 @ C @ A )
| ~ ( p46 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(86,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p34 @ ( f39 @ A @ B ) @ ( f39 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p38 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_86) ).
thf(161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p34 @ ( f39 @ A @ B ) @ ( f39 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p38 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(31,negated_conjecture,
! [A: $i] : ( p15 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_31) ).
thf(180,plain,
! [A: $i] : ( p15 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(64,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_64) ).
thf(149,plain,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(95,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f33 @ A @ B ) @ ( f33 @ C @ D ) )
| ~ ( p32 @ B @ D )
| ~ ( p7 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_95) ).
thf(176,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f33 @ A @ B ) @ ( f33 @ C @ D ) )
| ~ ( p32 @ B @ D )
| ~ ( p7 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(8,negated_conjecture,
! [A: $i] : ( p54 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p54_8) ).
thf(191,plain,
! [A: $i] : ( p54 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(20,negated_conjecture,
! [A: $i] : ( p32 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).
thf(118,plain,
! [A: $i] : ( p32 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(68,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p63 @ A @ B )
| ~ ( p35 @ C @ A )
| ~ ( p63 @ C @ D )
| ~ ( p15 @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_68) ).
thf(204,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p63 @ A @ B )
| ~ ( p35 @ C @ A )
| ~ ( p63 @ C @ D )
| ~ ( p15 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(13,negated_conjecture,
! [A: $i] : ( p44 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p44_13) ).
thf(144,plain,
! [A: $i] : ( p44 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,negated_conjecture,
! [A: $i] : ( p48 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_11) ).
thf(181,plain,
! [A: $i] : ( p48 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(54,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p30 @ A @ B )
| ~ ( p30 @ C @ A )
| ~ ( p30 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_54) ).
thf(159,plain,
! [C: $i,B: $i,A: $i] :
( ( p30 @ A @ B )
| ~ ( p30 @ C @ A )
| ~ ( p30 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(40,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p56 @ A @ B )
| ~ ( p56 @ C @ A )
| ~ ( p56 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_40) ).
thf(187,plain,
! [C: $i,B: $i,A: $i] :
( ( p56 @ A @ B )
| ~ ( p56 @ C @ A )
| ~ ( p56 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(35,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_35) ).
thf(172,plain,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(24,negated_conjecture,
! [A: $i] : ( p26 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_24) ).
thf(113,plain,
! [A: $i] : ( p26 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(100,negated_conjecture,
p62 @ ( f5 @ c64 @ ( f16 @ ( f19 @ ( f21 @ c70 @ ( f8 @ ( f11 @ ( f13 @ c65 @ c66 ) @ c67 ) @ c68 ) ) @ c71 ) @ c72 ) ) @ c69,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
thf(208,plain,
p62 @ ( f5 @ c64 @ ( f16 @ ( f19 @ ( f21 @ c70 @ ( f8 @ ( f11 @ ( f13 @ c65 @ c66 ) @ c67 ) @ c68 ) ) @ c71 ) @ c72 ) ) @ c69,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(9,negated_conjecture,
! [A: $i] : ( p52 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p52_9) ).
thf(140,plain,
! [A: $i] : ( p52 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(59,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p22 @ A @ B )
| ~ ( p22 @ C @ A )
| ~ ( p22 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_59) ).
thf(155,plain,
! [C: $i,B: $i,A: $i] :
( ( p22 @ A @ B )
| ~ ( p22 @ C @ A )
| ~ ( p22 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(19,negated_conjecture,
! [A: $i] : ( p34 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).
thf(198,plain,
! [A: $i] : ( p34 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(101,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p63 @ ( f36 @ ( f39 @ ( f41 @ c73 @ A ) @ B ) @ ( f37 @ C @ D ) ) @ ( f33 @ E @ D ) )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ F ) @ C ) @ E ) @ A ) @ B ) @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p63_101) ).
thf(108,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p63 @ ( f36 @ ( f39 @ ( f41 @ c73 @ A ) @ B ) @ ( f37 @ C @ D ) ) @ ( f33 @ E @ D ) )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ F ) @ C ) @ E ) @ A ) @ B ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(85,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p35 @ ( f36 @ A @ B ) @ ( f36 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p34 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_85) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p35 @ ( f36 @ A @ B ) @ ( f36 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p34 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(28,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
thf(135,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(103,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ ( f37 @ ( f43 @ ( f45 @ ( f47 @ ( f49 @ ( f51 @ c75 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) @ ( f37 @ B @ F ) )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_103) ).
thf(167,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ ( f37 @ ( f43 @ ( f45 @ ( f47 @ ( f49 @ ( f51 @ c75 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) @ ( f37 @ B @ F ) )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(81,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p42 @ ( f45 @ A @ B ) @ ( f45 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p44 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p42_81) ).
thf(162,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p42 @ ( f45 @ A @ B ) @ ( f45 @ C @ D ) )
| ~ ( p18 @ B @ D )
| ~ ( p44 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(42,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p52 @ A @ B )
| ~ ( p52 @ C @ A )
| ~ ( p52 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p52_42) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ( p52 @ A @ B )
| ~ ( p52 @ C @ A )
| ~ ( p52 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(29,negated_conjecture,
! [A: $i] : ( p18 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_29) ).
thf(123,plain,
! [A: $i] : ( p18 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(82,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_82) ).
thf(194,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(41,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p54 @ A @ B )
| ~ ( p54 @ C @ A )
| ~ ( p54 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p54_41) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ( p54 @ A @ B )
| ~ ( p54 @ C @ A )
| ~ ( p54 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p60 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_4) ).
thf(199,plain,
! [A: $i] : ( p60 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(74,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p58 @ ( f61 @ A @ B ) @ ( f61 @ C @ D ) )
| ~ ( p4 @ B @ D )
| ~ ( p60 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p58_74) ).
thf(127,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p58 @ ( f61 @ A @ B ) @ ( f61 @ C @ D ) )
| ~ ( p4 @ B @ D )
| ~ ( p60 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(50,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p38 @ A @ B )
| ~ ( p38 @ C @ A )
| ~ ( p38 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_50) ).
thf(177,plain,
! [C: $i,B: $i,A: $i] :
( ( p38 @ A @ B )
| ~ ( p38 @ C @ A )
| ~ ( p38 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(72,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f53 @ A @ B ) @ ( f53 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p52 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_72) ).
thf(182,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f53 @ A @ B ) @ ( f53 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p52 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(44,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p48 @ A @ B )
| ~ ( p48 @ C @ A )
| ~ ( p48 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_44) ).
thf(154,plain,
! [C: $i,B: $i,A: $i] :
( ( p48 @ A @ B )
| ~ ( p48 @ C @ A )
| ~ ( p48 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(18,negated_conjecture,
! [A: $i] : ( p35 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_18) ).
thf(175,plain,
! [A: $i] : ( p35 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(96,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ ( f19 @ A @ B ) @ ( f19 @ C @ D ) )
| ~ ( p17 @ A @ C )
| ~ ( p18 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_96) ).
thf(143,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ ( f19 @ A @ B ) @ ( f19 @ C @ D ) )
| ~ ( p17 @ A @ C )
| ~ ( p18 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(12,negated_conjecture,
! [A: $i] : ( p46 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_12) ).
thf(158,plain,
! [A: $i] : ( p46 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(104,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( p3 @ ( f16 @ ( f19 @ ( f21 @ c70 @ ( f8 @ ( f11 @ ( f13 @ c65 @ A ) @ B ) @ C ) ) @ D ) @ E ) @ ( f8 @ ( f11 @ ( f13 @ c65 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ B ) @ C ) @ D ) @ E ) ) @ ( f43 @ ( f45 @ ( f47 @ ( f49 @ ( f51 @ c75 @ A ) @ B ) @ C ) @ D ) @ E ) ) @ ( f53 @ ( f55 @ ( f57 @ ( f59 @ ( f61 @ c76 @ A ) @ B ) @ C ) @ D ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_104) ).
thf(186,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( p3 @ ( f16 @ ( f19 @ ( f21 @ c70 @ ( f8 @ ( f11 @ ( f13 @ c65 @ A ) @ B ) @ C ) ) @ D ) @ E ) @ ( f8 @ ( f11 @ ( f13 @ c65 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ B ) @ C ) @ D ) @ E ) ) @ ( f43 @ ( f45 @ ( f47 @ ( f49 @ ( f51 @ c75 @ A ) @ B ) @ C ) @ D ) @ E ) ) @ ( f53 @ ( f55 @ ( f57 @ ( f59 @ ( f61 @ c76 @ A ) @ B ) @ C ) @ D ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(37,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p60 @ A @ B )
| ~ ( p60 @ C @ A )
| ~ ( p60 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_37) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ( p60 @ A @ B )
| ~ ( p60 @ C @ A )
| ~ ( p60 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(80,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p44 @ ( f47 @ A @ B ) @ ( f47 @ C @ D ) )
| ~ ( p46 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p44_80) ).
thf(171,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p44 @ ( f47 @ A @ B ) @ ( f47 @ C @ D ) )
| ~ ( p46 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(97,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ A @ B )
| ~ ( p62 @ ( f5 @ c64 @ ( f8 @ ( f11 @ ( f13 @ c65 @ A ) @ C ) @ D ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
thf(139,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ A @ B )
| ~ ( p62 @ ( f5 @ c64 @ ( f8 @ ( f11 @ ( f13 @ c65 @ A ) @ C ) @ D ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(46,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p44 @ A @ B )
| ~ ( p44 @ C @ A )
| ~ ( p44 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p44_46) ).
thf(119,plain,
! [C: $i,B: $i,A: $i] :
( ( p44 @ A @ B )
| ~ ( p44 @ C @ A )
| ~ ( p44 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(83,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f23 @ A @ B ) @ ( f23 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p22 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_83) ).
thf(207,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f23 @ A @ B ) @ ( f23 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p22 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(32,negated_conjecture,
! [A: $i] : ( p14 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_32) ).
thf(151,plain,
! [A: $i] : ( p14 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(91,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p24 @ ( f27 @ A @ B ) @ ( f27 @ C @ D ) )
| ~ ( p26 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_91) ).
thf(168,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p24 @ ( f27 @ A @ B ) @ ( f27 @ C @ D ) )
| ~ ( p26 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(73,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p9 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_73) ).
thf(146,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p9 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(23,negated_conjecture,
! [A: $i] : ( p28 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_23) ).
thf(190,plain,
! [A: $i] : ( p28 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(43,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p50 @ A @ B )
| ~ ( p50 @ C @ A )
| ~ ( p50 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p50_43) ).
thf(183,plain,
! [C: $i,B: $i,A: $i] :
( ( p50 @ A @ B )
| ~ ( p50 @ C @ A )
| ~ ( p50 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(69,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p62 @ C @ D )
| ~ ( p32 @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_69) ).
thf(107,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p62 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p62 @ C @ D )
| ~ ( p32 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(36,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_36) ).
thf(195,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p10 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
thf(126,plain,
! [A: $i] : ( p10 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(38,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_38) ).
thf(136,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(102,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f33 @ ( f53 @ ( f55 @ ( f57 @ ( f59 @ ( f61 @ c76 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) @ ( f33 @ C @ F ) )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_102) ).
thf(131,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f33 @ ( f53 @ ( f55 @ ( f57 @ ( f59 @ ( f61 @ c76 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) @ ( f33 @ C @ F ) )
| ~ ( p62 @ ( f23 @ ( f25 @ ( f27 @ ( f29 @ ( f31 @ c74 @ A ) @ B ) @ C ) @ D ) @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(67,negated_conjecture,
~ ( p62 @ ( f5 @ c64 @ ( f8 @ ( f11 @ ( f13 @ c65 @ c66 ) @ c67 ) @ c68 ) ) @ c69 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_67) ).
thf(178,plain,
~ ( p62 @ ( f5 @ c64 @ ( f8 @ ( f11 @ ( f13 @ c65 @ c66 ) @ c67 ) @ c68 ) ) @ c69 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(76,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p54 @ ( f57 @ A @ B ) @ ( f57 @ C @ D ) )
| ~ ( p56 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p54_76) ).
thf(163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p54 @ ( f57 @ A @ B ) @ ( f57 @ C @ D ) )
| ~ ( p56 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(79,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p46 @ ( f49 @ A @ B ) @ ( f49 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p48 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_79) ).
thf(200,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p46 @ ( f49 @ A @ B ) @ ( f49 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p48 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(56,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p28 @ A @ B )
| ~ ( p28 @ C @ A )
| ~ ( p28 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_56) ).
thf(111,plain,
! [C: $i,B: $i,A: $i] :
( ( p28 @ A @ B )
| ~ ( p28 @ C @ A )
| ~ ( p28 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(78,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p48 @ ( f51 @ A @ B ) @ ( f51 @ C @ D ) )
| ~ ( p4 @ B @ D )
| ~ ( p50 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_78) ).
thf(122,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p48 @ ( f51 @ A @ B ) @ ( f51 @ C @ D ) )
| ~ ( p4 @ B @ D )
| ~ ( p50 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(278,plain,
$false,
inference(e,[status(thm)],[138,197,150,203,170,115,120,202,142,153,174,185,184,110,125,196,157,189,152,164,179,106,121,147,132,133,116,206,117,201,160,192,137,165,156,188,169,141,109,124,193,173,129,134,128,105,205,166,148,161,180,149,176,191,118,204,144,181,159,187,172,113,208,140,155,198,108,130,135,167,162,112,123,194,145,199,127,177,182,154,175,143,158,186,114,171,139,119,207,151,168,146,190,183,107,195,126,136,131,178,163,200,111,122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN712-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:48:48 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.38/1.02 % [INFO] Parsing done (151ms).
% 1.38/1.03 % [INFO] Running in sequential loop mode.
% 1.85/1.30 % [INFO] eprover registered as external prover.
% 1.85/1.30 % [INFO] cvc4 registered as external prover.
% 1.85/1.31 % [INFO] Scanning for conjecture ...
% 2.49/1.47 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.67/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.67/1.59 % [INFO] Problem is propositional (TPTP CNF).
% 2.67/1.60 % [INFO] Type checking passed.
% 2.67/1.60 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.07/2.26 % External prover 'e' found a proof!
% 5.07/2.26 % [INFO] Killing All external provers ...
% 5.07/2.27 % Time passed: 1743ms (effective reasoning time: 1232ms)
% 5.07/2.27 % Solved by 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)>
% 5.07/2.27 % Axioms used in derivation (0):
% 5.07/2.27 % No. of inferences in proof: 209
% 5.07/2.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1743 ms resp. 1232 ms w/o parsing
% 5.36/2.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.36/2.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------