TSTP Solution File: SYN572-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 12:29:19 EDT 2023
% Result : Unsatisfiable 14.40s 3.30s
% Output : Refutation 14.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of formulae : 116 ( 46 unt; 14 typ; 0 def)
% Number of atoms : 222 ( 30 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1157 ( 110 ~; 84 |; 0 &; 963 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 187 ( 0 ^; 187 !; 0 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $i > $o ).
thf(f10_type,type,
f10: $i > $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(f3_type,type,
f3: $i > $i > $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(f7_type,type,
f7: $i > $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(c13_type,type,
c13: $i ).
thf(p12_type,type,
p12: $i > $i > $o ).
thf(f11_type,type,
f11: $i > $i > $i ).
thf(c14_type,type,
c14: $i ).
thf(c15_type,type,
c15: $i ).
thf(4,negated_conjecture,
! [A: $i] : ( p4 @ ( f10 @ ( f9 @ A ) ) @ ( f10 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
thf(39,plain,
! [A: $i] : ( p4 @ ( f10 @ ( f9 @ A ) ) @ ( f10 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] : ( p12 @ ( f10 @ ( f3 @ A @ B ) ) @ ( f11 @ ( f10 @ A ) @ ( f10 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_15) ).
thf(40,plain,
! [B: $i,A: $i] : ( p12 @ ( f10 @ ( f3 @ A @ B ) ) @ ( f11 @ ( f10 @ A ) @ ( f10 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p4 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
thf(33,plain,
! [A: $i] : ( p4 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p12 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_18) ).
thf(34,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p12 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(48,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p12 @ C @ D ) ),
inference(cnf,[status(esa)],[34]) ).
thf(16,negated_conjecture,
~ ( p12 @ ( f10 @ c14 ) @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_16) ).
thf(35,plain,
~ ( p12 @ ( f10 @ c14 ) @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(41,plain,
~ ( p12 @ ( f10 @ c14 ) @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ),
inference(polarity_switch,[status(thm)],[35]) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p12 @ C @ D )
| ( ( p12 @ A @ B )
!= ( p12 @ ( f10 @ c14 ) @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[48,41]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( p4 @ A @ ( f10 @ c14 ) )
| ~ ( p4 @ B @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) )
| ~ ( p12 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[57:[bind(A,$thf( f10 @ c14 )),bind(B,$thf( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(65,plain,
! [B: $i,A: $i] :
( ~ ( p4 @ A @ ( f10 @ c14 ) )
| ~ ( p4 @ B @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) )
| ~ ( p12 @ A @ B ) ),
inference(simp,[status(thm)],[58]) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p4 @ B @ ( f10 @ c14 ) )
| ~ ( p12 @ B @ C )
| ( ( p4 @ A @ A )
!= ( p4 @ C @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[33,65]) ).
thf(70,plain,
! [A: $i] :
( ~ ( p4 @ A @ ( f10 @ c14 ) )
| ~ ( p12 @ A @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ) ),
inference(pattern_uni,[status(thm)],[69:[bind(A,$thf( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) )),bind(B,$thf( B )),bind(C,$thf( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ))]]) ).
thf(77,plain,
! [A: $i] :
( ~ ( p4 @ A @ ( f10 @ c14 ) )
| ~ ( p12 @ A @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ) ),
inference(simp,[status(thm)],[70]) ).
thf(130,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p4 @ C @ ( f10 @ c14 ) )
| ( ( p12 @ ( f10 @ ( f3 @ A @ B ) ) @ ( f11 @ ( f10 @ A ) @ ( f10 @ B ) ) )
!= ( p12 @ C @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[40,77]) ).
thf(131,plain,
~ ( p4 @ ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) ) @ ( f10 @ c14 ) ),
inference(pattern_uni,[status(thm)],[130:[bind(A,$thf( f3 @ c14 @ c15 )),bind(B,$thf( c15 )),bind(C,$thf( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) ))]]) ).
thf(141,plain,
! [A: $i] :
( ( p4 @ ( f10 @ ( f9 @ A ) ) @ ( f10 @ A ) )
!= ( p4 @ ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) ) @ ( f10 @ c14 ) ) ),
inference(paramod_ordered,[status(thm)],[39,131]) ).
thf(143,plain,
! [A: $i] :
( ( ( f10 @ ( f9 @ A ) )
!= ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) ) )
| ( ( f10 @ A )
!= ( f10 @ c14 ) ) ),
inference(simp,[status(thm)],[141]) ).
thf(221,plain,
! [A: $i] :
( ( ( f9 @ A )
!= ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) )
| ( A != c14 ) ),
inference(simp,[status(thm)],[143]) ).
thf(249,plain,
( ( f3 @ ( f3 @ c14 @ c15 ) @ c15 )
!= ( f9 @ c14 ) ),
inference(simp,[status(thm)],[221]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p2 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(21,plain,
! [A: $i] : ( p2 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(cnf,[status(esa)],[37]) ).
thf(103,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) @ A )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[21,44]) ).
thf(104,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) @ ( f9 @ A ) ),
inference(pattern_uni,[status(thm)],[103:[bind(A,$thf( D )),bind(B,$thf( f3 @ D @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) )),bind(C,$thf( D ))]]) ).
thf(110,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) @ ( f9 @ A ) ),
inference(simp,[status(thm)],[104]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
thf(29,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,negated_conjecture,
! [A: $i] : ( p2 @ ( f3 @ A @ ( f9 @ A ) ) @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
thf(36,plain,
! [A: $i] : ( p2 @ ( f3 @ A @ ( f9 @ A ) ) @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f3 @ A @ ( f9 @ A ) ) @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[36,44]) ).
thf(106,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[105:[bind(A,$thf( F )),bind(B,$thf( f3 @ F @ ( f9 @ F ) )),bind(C,$thf( f5 @ ( f7 @ ( f8 @ c13 ) ) ))]]) ).
thf(111,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ),
inference(simp,[status(thm)],[106]) ).
thf(137,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[111,44]) ).
thf(138,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[137:[bind(A,$thf( G )),bind(B,$thf( f9 @ ( f3 @ G @ ( f9 @ G ) ) )),bind(C,$thf( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ))]]) ).
thf(139,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ),
inference(simp,[status(thm)],[138]) ).
thf(210,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[139,44]) ).
thf(211,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[210:[bind(A,$thf( H )),bind(B,$thf( f9 @ ( f9 @ ( f3 @ H @ ( f9 @ H ) ) ) )),bind(C,$thf( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ))]]) ).
thf(216,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[211]) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) @ ( f9 @ A ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[110,44]) ).
thf(115,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) @ ( f9 @ ( f9 @ A ) ) ),
inference(pattern_uni,[status(thm)],[114:[bind(A,$thf( J )),bind(B,$thf( f9 @ ( f3 @ J @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) )),bind(C,$thf( f9 @ J ))]]) ).
thf(116,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) @ ( f9 @ ( f9 @ A ) ) ),
inference(simp,[status(thm)],[115]) ).
thf(140,plain,
! [A: $i] :
( ( p4 @ A @ A )
!= ( p4 @ ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) ) @ ( f10 @ c14 ) ) ),
inference(paramod_ordered,[status(thm)],[33,131]) ).
thf(142,plain,
! [A: $i] :
( ( A
!= ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) ) )
| ( A
!= ( f10 @ c14 ) ) ),
inference(simp,[status(thm)],[140]) ).
thf(144,plain,
( ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) )
!= ( f10 @ c14 ) ),
inference(simp,[status(thm)],[142]) ).
thf(145,plain,
( ( f3 @ ( f3 @ c14 @ c15 ) @ c15 )
!= c14 ),
inference(simp,[status(thm)],[144]) ).
thf(12,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_12) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(201,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) @ ( f9 @ ( f9 @ A ) ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[116,44]) ).
thf(202,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[201:[bind(A,$thf( L )),bind(B,$thf( f9 @ ( f9 @ ( f3 @ L @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) )),bind(C,$thf( f9 @ ( f9 @ L ) ))]]) ).
thf(207,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) ),
inference(simp,[status(thm)],[202]) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(cnf,[status(esa)],[31]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f3 @ A @ B ) @ ( f3 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f3 @ A @ B ) @ ( f3 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
thf(25,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(220,plain,
! [A: $i] :
( ( ( f10 @ ( f9 @ A ) )
!= ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) ) )
| ( A != c14 ) ),
inference(simp,[status(thm)],[143]) ).
thf(248,plain,
( ( f10 @ ( f3 @ ( f3 @ c14 @ c15 ) @ c15 ) )
!= ( f10 @ ( f9 @ c14 ) ) ),
inference(simp,[status(thm)],[220]) ).
thf(250,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[207,44]) ).
thf(251,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) ) ),
inference(pattern_uni,[status(thm)],[250:[bind(A,$thf( N )),bind(B,$thf( f9 @ ( f9 @ ( f9 @ ( f3 @ N @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) )),bind(C,$thf( f9 @ ( f9 @ ( f9 @ N ) ) ))]]) ).
thf(256,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) ) ),
inference(simp,[status(thm)],[251]) ).
thf(356,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[256,44]) ).
thf(357,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[356:[bind(A,$thf( P )),bind(B,$thf( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ P @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) )),bind(C,$thf( f9 @ ( f9 @ ( f9 @ ( f9 @ P ) ) ) ))]]) ).
thf(366,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ A ) ) ) ) ) ),
inference(simp,[status(thm)],[357]) ).
thf(13,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_13) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(19,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(cnf,[status(esa)],[28]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(180,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ( ( p2 @ C @ B )
!= ( p2 @ C @ A ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[42]) ).
thf(181,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A )
| ~ ( p2 @ B @ A ) ),
inference(pattern_uni,[status(thm)],[180:[bind(A,$thf( B ))]]) ).
thf(191,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A )
| ~ ( p2 @ B @ A ) ),
inference(simp,[status(thm)],[181]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_10) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p4 @ C @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) )
| ~ ( p12 @ B @ C )
| ( ( p4 @ A @ A )
!= ( p4 @ B @ ( f10 @ c14 ) ) ) ),
inference(paramod_ordered,[status(thm)],[33,65]) ).
thf(68,plain,
! [A: $i] :
( ~ ( p4 @ A @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) )
| ~ ( p12 @ ( f10 @ c14 ) @ A ) ),
inference(pattern_uni,[status(thm)],[67:[bind(A,$thf( f10 @ c14 )),bind(B,$thf( f10 @ c14 )),bind(C,$thf( C ))]]) ).
thf(76,plain,
! [A: $i] :
( ~ ( p4 @ A @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) )
| ~ ( p12 @ ( f10 @ c14 ) @ A ) ),
inference(simp,[status(thm)],[68]) ).
thf(134,plain,
! [B: $i,A: $i] :
( ~ ( p12 @ B @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) )
| ( ( p4 @ ( f10 @ ( f9 @ A ) ) @ ( f10 @ A ) )
!= ( p4 @ B @ ( f10 @ c14 ) ) ) ),
inference(paramod_ordered,[status(thm)],[39,77]) ).
thf(135,plain,
~ ( p12 @ ( f10 @ ( f9 @ c14 ) ) @ ( f11 @ ( f10 @ ( f3 @ c14 @ c15 ) ) @ ( f10 @ c15 ) ) ),
inference(pattern_uni,[status(thm)],[134:[bind(A,$thf( c14 )),bind(B,$thf( f10 @ ( f9 @ c14 ) ))]]) ).
thf(166,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ B @ C )
| ~ ( p2 @ D @ B )
| ( ( p2 @ A @ A )
!= ( p2 @ D @ C ) ) ),
inference(paramod_ordered,[status(thm)],[25,42]) ).
thf(167,plain,
! [B: $i,A: $i] :
( ( p2 @ B @ A )
| ~ ( p2 @ A @ B ) ),
inference(pattern_uni,[status(thm)],[166:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(43,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f3 @ A @ B ) @ ( f3 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(cnf,[status(esa)],[24]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ( p6 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_6) ).
thf(26,plain,
! [B: $i,A: $i] :
( ( p6 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(341,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ ( f9 @ B ) @ ( f9 @ C ) )
| ( ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) )
!= ( p2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[216,44]) ).
thf(342,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[341:[bind(A,$thf( I )),bind(B,$thf( f9 @ ( f9 @ ( f9 @ ( f3 @ I @ ( f9 @ I ) ) ) ) )),bind(C,$thf( f9 @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ))]]) ).
thf(351,plain,
! [A: $i] : ( p2 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f3 @ A @ ( f9 @ A ) ) ) ) ) ) @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f5 @ ( f7 @ ( f8 @ c13 ) ) ) ) ) ) ) ),
inference(simp,[status(thm)],[342]) ).
thf(14,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_14) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] : ( p2 @ ( f3 @ A @ ( f3 @ B @ C ) ) @ ( f3 @ ( f3 @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] : ( p2 @ ( f3 @ A @ ( f3 @ B @ C ) ) @ ( f3 @ ( f3 @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1918,plain,
$false,
inference(e,[status(thm)],[249,110,29,216,116,65,41,144,145,48,31,207,131,111,42,24,37,25,248,366,21,33,28,38,256,77,45,32,34,191,22,44,27,76,39,135,167,35,143,43,40,26,351,139,23,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11 % Command : run_Leo-III %s %d
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Thu May 18 19:50:05 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.71/0.71 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.83/0.84 % [INFO] Parsing done (119ms).
% 0.83/0.85 % [INFO] Running in sequential loop mode.
% 1.35/1.05 % [INFO] eprover registered as external prover.
% 1.35/1.05 % [INFO] cvc4 registered as external prover.
% 1.35/1.06 % [INFO] Scanning for conjecture ...
% 1.52/1.13 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.67/1.17 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.67/1.17 % [INFO] Problem is propositional (TPTP CNF).
% 1.67/1.17 % [INFO] Type checking passed.
% 1.67/1.18 % [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 ...
% 14.40/3.30 % External prover 'e' found a proof!
% 14.40/3.30 % [INFO] Killing All external provers ...
% 14.40/3.30 % Time passed: 2865ms (effective reasoning time: 2449ms)
% 14.40/3.30 % 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)>
% 14.40/3.30 % Axioms used in derivation (0):
% 14.40/3.30 % No. of inferences in proof: 102
% 14.40/3.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2865 ms resp. 2449 ms w/o parsing
% 14.40/3.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.40/3.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------