TSTP Solution File: SYN658-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN658-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 12:29:34 EDT 2023
% Result : Unsatisfiable 6.06s 2.28s
% Output : Refutation 6.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 85
% Syntax : Number of formulae : 136 ( 41 unt; 35 typ; 0 def)
% Number of atoms : 217 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1034 ( 114 ~; 116 |; 0 &; 804 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 35 usr; 11 con; 0-3 aty)
% Number of variables : 204 ( 0 ^; 204 !; 0 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
thf(p17_type,type,
p17: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p24_type,type,
p24: $i > $i > $o ).
thf(c32_type,type,
c32: $i ).
thf(c31_type,type,
c31: $i ).
thf(p26_type,type,
p26: $i > $i > $o ).
thf(c35_type,type,
c35: $i ).
thf(c34_type,type,
c34: $i ).
thf(c28_type,type,
c28: $i ).
thf(f10_type,type,
f10: $i > $i ).
thf(c33_type,type,
c33: $i ).
thf(p23_type,type,
p23: $i > $i > $o ).
thf(f11_type,type,
f11: $i > $i ).
thf(f12_type,type,
f12: $i > $i ).
thf(p25_type,type,
p25: $i > $i > $o ).
thf(f18_type,type,
f18: $i > $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(c27_type,type,
c27: $i ).
thf(f9_type,type,
f9: $i > $i > $i ).
thf(c29_type,type,
c29: $i ).
thf(f21_type,type,
f21: $i > $i ).
thf(f19_type,type,
f19: $i > $i ).
thf(f15_type,type,
f15: $i > $i ).
thf(f5_type,type,
f5: $i > $i > $i > $i ).
thf(c30_type,type,
c30: $i ).
thf(f13_type,type,
f13: $i > $i > $i ).
thf(f16_type,type,
f16: $i > $i > $i ).
thf(f20_type,type,
f20: $i > $i > $i ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(c36_type,type,
c36: $i ).
thf(f22_type,type,
f22: $i > $i > $i > $i ).
thf(9,negated_conjecture,
p26 @ c31 @ c35,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_9) ).
thf(56,plain,
p26 @ c31 @ c35,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,negated_conjecture,
p24 @ c32 @ c34,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_10) ).
thf(52,plain,
p24 @ c32 @ c34,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
thf(84,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(38,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_38) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(14,negated_conjecture,
p25 @ c32 @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).
thf(53,plain,
p25 @ c32 @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(45,negated_conjecture,
! [A: $i] :
( ( p24 @ ( f19 @ ( f20 @ c34 @ c31 ) ) @ ( f19 @ ( f20 @ c34 @ A ) ) )
| ~ ( p25 @ A @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_45) ).
thf(73,plain,
! [A: $i] :
( ( p24 @ ( f19 @ ( f20 @ c34 @ c31 ) ) @ ( f19 @ ( f20 @ c34 @ A ) ) )
| ~ ( p25 @ A @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(20,negated_conjecture,
! [B: $i,A: $i] :
( ( p6 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_20) ).
thf(64,plain,
! [B: $i,A: $i] :
( ( p6 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p4 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
thf(59,plain,
! [A: $i] : ( p4 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,negated_conjecture,
p23 @ ( f10 @ ( f11 @ ( f12 @ c33 ) ) ) @ c28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).
thf(80,plain,
p23 @ ( f10 @ ( f11 @ ( f12 @ c33 ) ) ) @ c28,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(21,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).
thf(67,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(41,negated_conjecture,
! [A: $i] :
( ~ ( p24 @ A @ c35 )
| ~ ( p24 @ c32 @ A )
| ~ ( p25 @ A @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_41) ).
thf(72,plain,
! [A: $i] :
( ~ ( p24 @ A @ c35 )
| ~ ( p24 @ c32 @ A )
| ~ ( p25 @ A @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
thf(55,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
thf(51,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(28,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_28) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(50,negated_conjecture,
! [A: $i] :
( ( p26 @ ( f19 @ ( f20 @ c31 @ c32 ) ) @ ( f19 @ ( f20 @ c31 @ A ) ) )
| ( p26 @ ( f19 @ ( f20 @ c31 @ c35 ) ) @ ( f19 @ ( f20 @ c31 @ A ) ) )
| ~ ( p25 @ A @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_50) ).
thf(88,plain,
! [A: $i] :
( ( p26 @ ( f19 @ ( f20 @ c31 @ c32 ) ) @ ( f19 @ ( f20 @ c31 @ A ) ) )
| ( p26 @ ( f19 @ ( f20 @ c31 @ c35 ) ) @ ( f19 @ ( f20 @ c31 @ A ) ) )
| ~ ( p25 @ A @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(40,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_40) ).
thf(93,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
thf(57,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(44,negated_conjecture,
~ ( p4 @ ( f5 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c36 @ c31 ) @ ( f5 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c36 @ c34 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_44) ).
thf(78,plain,
~ ( p4 @ ( f5 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c36 @ c31 ) @ ( f5 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c36 @ c34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(24,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_24) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ( p17 @ ( f18 @ A ) @ ( f18 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_16) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( p17 @ ( f18 @ A ) @ ( f18 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ( p6 @ ( f21 @ A ) @ ( f21 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_17) ).
thf(74,plain,
! [B: $i,A: $i] :
( ( p6 @ ( f21 @ A ) @ ( f21 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(42,negated_conjecture,
p4 @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c34 ) @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_42) ).
thf(60,plain,
p4 @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c34 ) @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(35,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p6 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).
thf(85,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p6 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(43,negated_conjecture,
p24 @ c34 @ ( f13 @ c32 @ ( f14 @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c31 ) @ ( f15 @ ( f10 @ ( f11 @ ( f12 @ c33 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_43) ).
thf(92,plain,
p24 @ c34 @ ( f13 @ c32 @ ( f14 @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c31 ) @ ( f15 @ ( f10 @ ( f11 @ ( f12 @ c33 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(46,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ A @ B @ C ) @ ( f5 @ D @ E @ F ) )
| ~ ( p3 @ B @ E )
| ~ ( p4 @ C @ F )
| ~ ( p2 @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_46) ).
thf(65,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ A @ B @ C ) @ ( f5 @ D @ E @ F ) )
| ~ ( p3 @ B @ E )
| ~ ( p4 @ C @ F )
| ~ ( p2 @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(30,negated_conjecture,
p4 @ c35 @ ( f13 @ c32 @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_30) ).
thf(97,plain,
p4 @ c35 @ ( f13 @ c32 @ ( f16 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(22,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).
thf(77,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(36,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f9 @ A @ B ) @ ( f9 @ C @ D ) )
| ~ ( p6 @ A @ C )
| ~ ( p6 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_36) ).
thf(96,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f9 @ A @ B ) @ ( f9 @ C @ D ) )
| ~ ( p6 @ A @ C )
| ~ ( p6 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(13,negated_conjecture,
p25 @ c35 @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).
thf(71,plain,
p25 @ c35 @ ( f18 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p17 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_1) ).
thf(54,plain,
! [A: $i] : ( p17 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(48,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p6 @ ( f21 @ A ) @ ( f10 @ c33 ) )
| ( p25 @ ( f22 @ A @ B @ C ) @ ( f18 @ A ) )
| ( p4 @ ( f5 @ A @ c36 @ B ) @ ( f5 @ A @ c36 @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_48) ).
thf(86,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ ( f21 @ A ) @ ( f10 @ c33 ) )
| ( p25 @ ( f22 @ A @ B @ C ) @ ( f18 @ A ) )
| ( p4 @ ( f5 @ A @ c36 @ B ) @ ( f5 @ A @ c36 @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(49,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p6 @ ( f21 @ A ) @ ( f10 @ c33 ) )
| ( p4 @ ( f5 @ A @ c36 @ B ) @ ( f5 @ A @ c36 @ C ) )
| ~ ( p24 @ ( f19 @ ( f20 @ B @ C ) ) @ ( f19 @ ( f20 @ B @ ( f22 @ A @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_49) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ ( f21 @ A ) @ ( f10 @ c33 ) )
| ( p4 @ ( f5 @ A @ c36 @ B ) @ ( f5 @ A @ c36 @ C ) )
| ~ ( p24 @ ( f19 @ ( f20 @ B @ C ) ) @ ( f19 @ ( f20 @ B @ ( f22 @ A @ B @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(34,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p24 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p24 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_34) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p24 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p24 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(19,negated_conjecture,
! [B: $i,A: $i] :
( ( p6 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_19) ).
thf(98,plain,
! [B: $i,A: $i] :
( ( p6 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(11,negated_conjecture,
~ ( p6 @ c28 @ ( f10 @ c33 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_11) ).
thf(91,plain,
~ ( p6 @ c28 @ ( f10 @ c33 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(29,negated_conjecture,
p4 @ ( f5 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c30 @ c31 ) @ c32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_29) ).
thf(66,plain,
p4 @ ( f5 @ ( f8 @ c27 @ ( f9 @ c28 @ c29 ) ) @ c30 @ c31 ) @ c32,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(25,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_25) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(23,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_23) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p17 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(47,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f22 @ A @ B @ C ) @ ( f22 @ D @ E @ F ) )
| ~ ( p4 @ B @ E )
| ~ ( p4 @ C @ F )
| ~ ( p2 @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_47) ).
thf(99,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f22 @ A @ B @ C ) @ ( f22 @ D @ E @ F ) )
| ~ ( p4 @ B @ E )
| ~ ( p4 @ C @ F )
| ~ ( p2 @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ( p6 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_18) ).
thf(87,plain,
! [B: $i,A: $i] :
( ( p6 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(32,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p26 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_32) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p26 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(8,negated_conjecture,
p26 @ c32 @ c31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_8) ).
thf(58,plain,
p26 @ c32 @ c31,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,negated_conjecture,
p24 @ c32 @ c31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_7) ).
thf(82,plain,
p24 @ c32 @ c31,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(27,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_27) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(26,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_26) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(33,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ A @ B )
| ~ ( p25 @ C @ D )
| ~ ( p4 @ C @ A )
| ~ ( p17 @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_33) ).
thf(68,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ A @ B )
| ~ ( p25 @ C @ D )
| ~ ( p4 @ C @ A )
| ~ ( p17 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(37,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_37) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ D @ B )
| ~ ( p23 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_31) ).
thf(90,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ D @ B )
| ~ ( p23 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(39,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_39) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] : ( p6 @ ( f21 @ ( f8 @ A @ ( f9 @ B @ C ) ) ) @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_15) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] : ( p6 @ ( f21 @ ( f8 @ A @ ( f9 @ B @ C ) ) ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(164,plain,
$false,
inference(e,[status(thm)],[56,52,84,70,53,73,64,59,80,67,72,55,51,69,88,93,57,78,61,89,74,60,85,92,65,97,77,96,71,54,86,81,76,98,91,66,63,95,99,87,75,58,82,79,94,68,62,90,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN658-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n023.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu May 18 20:11:15 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.01 % [INFO] Parsing done (144ms).
% 1.26/1.01 % [INFO] Running in sequential loop mode.
% 1.73/1.23 % [INFO] eprover registered as external prover.
% 1.73/1.23 % [INFO] cvc4 registered as external prover.
% 1.73/1.23 % [INFO] Scanning for conjecture ...
% 2.08/1.34 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.28/1.41 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.28/1.41 % [INFO] Problem is propositional (TPTP CNF).
% 2.28/1.42 % [INFO] Type checking passed.
% 2.28/1.42 % [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 ...
% 6.06/2.27 % External prover 'e' found a proof!
% 6.06/2.28 % [INFO] Killing All external provers ...
% 6.06/2.28 % Time passed: 1749ms (effective reasoning time: 1258ms)
% 6.06/2.28 % 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)>
% 6.06/2.28 % Axioms used in derivation (0):
% 6.06/2.28 % No. of inferences in proof: 101
% 6.06/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1749 ms resp. 1258 ms w/o parsing
% 6.06/2.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.06/2.32 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------