TSTP Solution File: SYN662-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN662-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 12:29:35 EDT 2023
% Result : Unsatisfiable 4.57s 2.07s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 90
% Syntax : Number of formulae : 145 ( 47 unt; 36 typ; 0 def)
% Number of atoms : 235 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 980 ( 124 ~; 126 |; 0 &; 730 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 36 usr; 11 con; 0-3 aty)
% Number of variables : 220 ( 0 ^; 220 !; 0 ?; 220 :)
% Comments :
%------------------------------------------------------------------------------
thf(p22_type,type,
p22: $i > $o ).
thf(c28_type,type,
c28: $i ).
thf(p10_type,type,
p10: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p19_type,type,
p19: $i > $i > $o ).
thf(p18_type,type,
p18: $i > $i > $o ).
thf(p14_type,type,
p14: $i > $i > $o ).
thf(p12_type,type,
p12: $i > $i > $o ).
thf(p25_type,type,
p25: $i > $i > $o ).
thf(c33_type,type,
c33: $i ).
thf(c36_type,type,
c36: $i ).
thf(c32_type,type,
c32: $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(c31_type,type,
c31: $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(c29_type,type,
c29: $i ).
thf(c30_type,type,
c30: $i ).
thf(p26_type,type,
p26: $i > $i > $o ).
thf(f20_type,type,
f20: $i > $i > $i ).
thf(c37_type,type,
c37: $i ).
thf(c34_type,type,
c34: $i ).
thf(c35_type,type,
c35: $i ).
thf(p23_type,type,
p23: $i > $i > $i > $o ).
thf(f4_type,type,
f4: $i > $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(f16_type,type,
f16: $i > $i > $i ).
thf(f17_type,type,
f17: $i > $i ).
thf(p27_type,type,
p27: $i > $i > $o ).
thf(p24_type,type,
p24: $i > $i > $o ).
thf(f11_type,type,
f11: $i > $i > $i ).
thf(f21_type,type,
f21: $i > $i > $i ).
thf(f13_type,type,
f13: $i > $i > $i ).
thf(f15_type,type,
f15: $i > $i > $i ).
thf(10,negated_conjecture,
! [A: $i] : ( p12 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_10) ).
thf(56,plain,
! [A: $i] : ( p12 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(29,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_29) ).
thf(70,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(37,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p25 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).
thf(64,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p25 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p10 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_2) ).
thf(59,plain,
! [A: $i] : ( p10 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,negated_conjecture,
p26 @ ( f20 @ c28 @ c35 ) @ c34,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_17) ).
thf(80,plain,
p26 @ ( f20 @ c28 @ c35 ) @ c34,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(14,negated_conjecture,
p2 @ c32 @ ( f9 @ c31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
thf(67,plain,
p2 @ c32 @ ( f9 @ c31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(33,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p14 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_33) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p14 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
thf(55,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(46,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p19 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p18 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_46) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p19 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p18 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(26,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(49,negated_conjecture,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c34 ) @ ( f11 @ ( f4 @ c32 ) @ c34 ) )
| ~ ( p25 @ A @ c33 )
| ~ ( p25 @ c32 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_49) ).
thf(88,plain,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c34 ) @ ( f11 @ ( f4 @ c32 ) @ c34 ) )
| ~ ( p25 @ A @ c33 )
| ~ ( p25 @ c32 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(48,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_48) ).
thf(93,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,negated_conjecture,
p22 @ c28,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c28_is_p22_1) ).
thf(57,plain,
p22 @ c28,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(41,negated_conjecture,
p27 @ ( f11 @ ( f4 @ c36 ) @ c37 ) @ ( f11 @ ( f4 @ ( f21 @ c36 @ ( f9 @ ( f17 @ c31 ) ) ) ) @ c37 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_41) ).
thf(78,plain,
p27 @ ( f11 @ ( f4 @ c36 ) @ c37 ) @ ( f11 @ ( f4 @ ( f21 @ c36 @ ( f9 @ ( f17 @ c31 ) ) ) ) @ c37 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(19,negated_conjecture,
! [A: $i] :
~ ( p2 @ A @ ( f16 @ A @ ( f9 @ ( f17 @ c31 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).
thf(106,plain,
! [A: $i] :
~ ( p2 @ A @ ( f16 @ A @ ( f9 @ ( f17 @ c31 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(44,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_44) ).
thf(84,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
thf(61,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,negated_conjecture,
! [A: $i] : ( p19 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_7) ).
thf(89,plain,
! [A: $i] : ( p19 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(38,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ A @ B )
| ~ ( p19 @ C @ A )
| ~ ( p26 @ C @ D )
| ~ ( p10 @ D @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_38) ).
thf(74,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ A @ B )
| ~ ( p19 @ C @ A )
| ~ ( p26 @ C @ D )
| ~ ( p10 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(8,negated_conjecture,
! [A: $i] : ( p18 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_8) ).
thf(60,plain,
! [A: $i] : ( p18 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_27) ).
thf(85,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(23,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).
thf(102,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p27 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p27 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_35) ).
thf(92,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p27 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p27 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(25,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_25) ).
thf(65,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(31,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p19 @ C @ A )
| ~ ( p19 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_31) ).
thf(97,plain,
! [C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p19 @ C @ A )
| ~ ( p19 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(13,negated_conjecture,
p25 @ c32 @ c36,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).
thf(77,plain,
p25 @ c32 @ c36,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(16,negated_conjecture,
p26 @ ( f20 @ c28 @ c37 ) @ c34,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_16) ).
thf(96,plain,
p26 @ ( f20 @ c28 @ c37 ) @ c34,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(28,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_28) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ( p26 @ ( f20 @ c28 @ A ) @ B )
| ~ ( p24 @ ( f15 @ c30 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_51) ).
thf(105,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ( p26 @ ( f20 @ c28 @ A ) @ B )
| ~ ( p24 @ ( f15 @ c30 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(21,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_21) ).
thf(71,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(12,negated_conjecture,
p25 @ c32 @ c33,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).
thf(86,plain,
p25 @ c32 @ c33,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(32,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p18 @ C @ A )
| ~ ( p18 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_32) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p18 @ C @ A )
| ~ ( p18 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(53,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p2 @ ( f11 @ ( f4 @ C ) @ A ) @ ( f9 @ c31 ) )
| ~ ( p24 @ ( f15 @ c30 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_53) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p2 @ ( f11 @ ( f4 @ C ) @ A ) @ ( f9 @ c31 ) )
| ~ ( p24 @ ( f15 @ c30 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(11,negated_conjecture,
p25 @ c33 @ c36,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_11) ).
thf(98,plain,
p25 @ c33 @ c36,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(36,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p24 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p24 @ C @ D )
| ~ ( p12 @ D @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_36) ).
thf(103,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p24 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p24 @ C @ D )
| ~ ( p12 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
thf(91,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(52,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B @ C )
| ~ ( p3 @ D @ C )
| ~ ( p3 @ E @ B )
| ~ ( p18 @ F @ A )
| ~ ( p23 @ F @ E @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_52) ).
thf(66,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B @ C )
| ~ ( p3 @ D @ C )
| ~ ( p3 @ E @ B )
| ~ ( p18 @ F @ A )
| ~ ( p23 @ F @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(15,negated_conjecture,
p7 @ ( f8 @ c29 ) @ c30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_15) ).
thf(108,plain,
p7 @ ( f8 @ c29 ) @ c30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(24,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_24) ).
thf(63,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(50,negated_conjecture,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c34 ) @ ( f11 @ ( f4 @ c32 ) @ c34 ) )
| ~ ( p25 @ A @ c36 )
| ~ ( p25 @ c32 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_50) ).
thf(95,plain,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c34 ) @ ( f11 @ ( f4 @ c32 ) @ c34 ) )
| ~ ( p25 @ A @ c36 )
| ~ ( p25 @ c32 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(43,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f21 @ A @ B ) @ ( f21 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_43) ).
thf(99,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f21 @ A @ B ) @ ( f21 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(54,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ ( f20 @ c28 @ A ) @ B )
| ( p25 @ ( f11 @ ( f4 @ C ) @ B ) @ ( f11 @ ( f4 @ D ) @ B ) )
| ~ ( p24 @ ( f15 @ c30 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_54) ).
thf(87,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ ( f20 @ c28 @ A ) @ B )
| ( p25 @ ( f11 @ ( f4 @ C ) @ B ) @ ( f11 @ ( f4 @ D ) @ B ) )
| ~ ( p24 @ ( f15 @ c30 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(30,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_30) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(9,negated_conjecture,
! [A: $i] : ( p14 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_9) ).
thf(75,plain,
! [A: $i] : ( p14 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
thf(58,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(34,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_34) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(47,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p3 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_47) ).
thf(107,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ ( f15 @ A @ B ) @ ( f15 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p7 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_45) ).
thf(79,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ ( f15 @ A @ B ) @ ( f15 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p7 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(18,negated_conjecture,
! [A: $i] : ( p23 @ c28 @ ( f4 @ ( f5 @ A ) ) @ ( f4 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_18) ).
thf(94,plain,
! [A: $i] : ( p23 @ c28 @ ( f4 @ ( f5 @ A ) ) @ ( f4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(20,negated_conjecture,
! [B: $i,A: $i] :
( ( p22 @ A )
| ~ ( p22 @ B )
| ~ ( p18 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_20) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( p22 @ A )
| ~ ( p22 @ B )
| ~ ( p18 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(42,negated_conjecture,
p27 @ ( f11 @ ( f4 @ c33 ) @ c35 ) @ ( f11 @ ( f4 @ ( f21 @ c33 @ ( f9 @ ( f17 @ c31 ) ) ) ) @ c35 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_42) ).
thf(62,plain,
p27 @ ( f11 @ ( f4 @ c33 ) @ c35 ) @ ( f11 @ ( f4 @ ( f21 @ c33 @ ( f9 @ ( f17 @ c31 ) ) ) ) @ c35 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(39,negated_conjecture,
p2 @ ( f11 @ ( f4 @ c32 ) @ c34 ) @ ( f16 @ ( f11 @ ( f4 @ c33 ) @ c34 ) @ ( f9 @ ( f17 @ c31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_39) ).
thf(90,plain,
p2 @ ( f11 @ ( f4 @ c32 ) @ c34 ) @ ( f16 @ ( f11 @ ( f4 @ c33 ) @ c34 ) @ ( f9 @ ( f17 @ c31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(22,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).
thf(83,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(40,negated_conjecture,
p2 @ ( f11 @ ( f4 @ c32 ) @ c34 ) @ ( f16 @ ( f11 @ ( f4 @ c36 ) @ c34 ) @ ( f9 @ ( f17 @ c31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).
thf(100,plain,
p2 @ ( f11 @ ( f4 @ c32 ) @ c34 ) @ ( f16 @ ( f11 @ ( f4 @ c36 ) @ c34 ) @ ( f9 @ ( f17 @ c31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(146,plain,
$false,
inference(e,[status(thm)],[56,70,64,59,80,67,72,55,69,101,88,93,57,78,106,84,61,89,74,60,85,102,92,65,97,77,96,73,105,71,86,81,76,98,103,91,66,108,63,95,99,87,104,75,58,82,107,79,94,68,62,90,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN662-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:40:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.38/1.03 % [INFO] Parsing done (151ms).
% 1.38/1.04 % [INFO] Running in sequential loop mode.
% 1.88/1.23 % [INFO] eprover registered as external prover.
% 1.88/1.24 % [INFO] cvc4 registered as external prover.
% 1.88/1.24 % [INFO] Scanning for conjecture ...
% 2.13/1.35 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.34/1.42 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.34/1.42 % [INFO] Problem is propositional (TPTP CNF).
% 2.34/1.42 % [INFO] Type checking passed.
% 2.34/1.43 % [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 ...
% 4.57/2.07 % External prover 'e' found a proof!
% 4.57/2.07 % [INFO] Killing All external provers ...
% 4.57/2.07 % Time passed: 1566ms (effective reasoning time: 1032ms)
% 4.57/2.07 % 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)>
% 4.57/2.07 % Axioms used in derivation (0):
% 4.57/2.07 % No. of inferences in proof: 109
% 4.57/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1566 ms resp. 1032 ms w/o parsing
% 4.64/2.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.64/2.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------