TSTP Solution File: SYN614-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 12:29:27 EDT 2023
% Result : Unsatisfiable 7.55s 2.52s
% Output : Refutation 7.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 58
% Syntax : Number of formulae : 90 ( 21 unt; 27 typ; 0 def)
% Number of atoms : 145 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 828 ( 88 ~; 82 |; 0 &; 658 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 27 usr; 9 con; 0-2 aty)
% Number of variables : 140 ( 0 ^; 140 !; 0 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
thf(p13_type,type,
p13: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p15_type,type,
p15: $i > $i > $o ).
thf(c21_type,type,
c21: $i ).
thf(f3_type,type,
f3: $i > $i ).
thf(c22_type,type,
c22: $i ).
thf(p19_type,type,
p19: $i > $i > $o ).
thf(c23_type,type,
c23: $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(p20_type,type,
p20: $i > $i > $o ).
thf(c24_type,type,
c24: $i ).
thf(f6_type,type,
f6: $i > $i > $i ).
thf(f12_type,type,
f12: $i > $i ).
thf(f11_type,type,
f11: $i > $i ).
thf(c26_type,type,
c26: $i ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(f16_type,type,
f16: $i > $i > $i ).
thf(c28_type,type,
c28: $i ).
thf(f17_type,type,
f17: $i > $i > $i ).
thf(c27_type,type,
c27: $i ).
thf(c25_type,type,
c25: $i ).
thf(f18_type,type,
f18: $i > $i > $i ).
thf(f9_type,type,
f9: $i > $i > $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(f10_type,type,
f10: $i > $i > $i ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p13 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_27) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p13 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,negated_conjecture,
p7 @ c25 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ c23 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c26 ) @ ( f9 @ ( f11 @ c24 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c27 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_29) ).
thf(52,plain,
p7 @ c25 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ c23 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c26 ) @ ( f9 @ ( f11 @ c24 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c27 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(30,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( p19 @ A @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) )
| ~ ( p20 @ B @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ c21 ) )
| ~ ( p2 @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ) @ ( f3 @ c22 ) )
| ~ ( p7 @ c25 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ A ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ) ) @ ( f9 @ ( f11 @ B ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c27 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_30) ).
thf(61,plain,
! [B: $i,A: $i] :
( ~ ( p19 @ A @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) )
| ~ ( p20 @ B @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ c21 ) )
| ~ ( p2 @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ) @ ( f3 @ c22 ) )
| ~ ( p7 @ c25 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ A ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ) ) @ ( f9 @ ( f11 @ B ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c27 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_23) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f17 @ A @ B ) @ ( f17 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_28) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f17 @ A @ B ) @ ( f17 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_12) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
thf(39,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p13 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_1) ).
thf(35,plain,
! [A: $i] : ( p13 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,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_15) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
thf(43,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(31,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( p19 @ A @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) )
| ~ ( p20 @ B @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ c21 ) )
| ~ ( p19 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ ( f18 @ c21 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ B )
| ~ ( p7 @ c25 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ A ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ) ) @ ( f9 @ ( f11 @ B ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c27 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_31) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( p19 @ A @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) )
| ~ ( p20 @ B @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ c21 ) )
| ~ ( p19 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ ( f18 @ c21 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ B )
| ~ ( p7 @ c25 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ A ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ) ) @ ( f9 @ ( f11 @ B ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) ) @ c27 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(7,negated_conjecture,
p20 @ c24 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ c21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_7) ).
thf(42,plain,
p20 @ c24 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ c21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p7 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_8) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p7 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,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_16) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,negated_conjecture,
p2 @ c26 @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
thf(38,plain,
p2 @ c26 @ ( f14 @ ( f16 @ c28 @ ( f17 @ c21 @ c27 ) ) @ c25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,negated_conjecture,
~ ( p2 @ c21 @ ( f3 @ c22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_5) ).
thf(32,plain,
~ ( p2 @ c21 @ ( f3 @ c22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p13 @ A @ B )
| ~ ( p13 @ C @ A )
| ~ ( p13 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_14) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ( p13 @ A @ B )
| ~ ( p13 @ C @ A )
| ~ ( p13 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,negated_conjecture,
p19 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ ( f18 @ c21 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ c24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_18) ).
thf(44,plain,
p19 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ) @ ( f18 @ c21 @ ( f3 @ ( f5 @ c22 ) ) ) ) @ c24,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p13 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p2 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_21) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p13 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p15 @ B @ D )
| ~ ( p2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p7 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p7 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(22,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f9 @ A @ B ) @ ( f9 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_22) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f9 @ A @ B ) @ ( f9 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(6,negated_conjecture,
p19 @ c23 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_6) ).
thf(36,plain,
p19 @ c23 @ ( f3 @ ( f4 @ ( f5 @ c22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p19 @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_20) ).
thf(51,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p19 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p15 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_4) ).
thf(47,plain,
! [A: $i] : ( p15 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p20 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p20 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_19) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p20 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p20 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(375,plain,
$false,
inference(e,[status(thm)],[56,52,61,60,53,41,39,35,48,50,43,58,42,37,46,57,38,33,45,32,34,44,59,54,49,40,55,36,51,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:33:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (131ms).
% 1.34/0.97 % [INFO] Running in sequential loop mode.
% 1.70/1.16 % [INFO] eprover registered as external prover.
% 1.70/1.17 % [INFO] cvc4 registered as external prover.
% 1.70/1.17 % [INFO] Scanning for conjecture ...
% 1.96/1.28 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.18/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.18/1.33 % [INFO] Problem is propositional (TPTP CNF).
% 2.18/1.34 % [INFO] Type checking passed.
% 2.18/1.34 % [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 ...
% 7.55/2.51 % External prover 'e' found a proof!
% 7.55/2.52 % [INFO] Killing All external provers ...
% 7.55/2.52 % Time passed: 2006ms (effective reasoning time: 1543ms)
% 7.55/2.52 % 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)>
% 7.55/2.52 % Axioms used in derivation (0):
% 7.55/2.52 % No. of inferences in proof: 63
% 7.55/2.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2006 ms resp. 1543 ms w/o parsing
% 7.55/2.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.55/2.56 % [INFO] Killing All external provers ...
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