TSTP Solution File: SYN604-1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SYN604-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 : Tue May 7 08:29:46 EDT 2024
% Result : Unsatisfiable 29.65s 5.30s
% Output : Refutation 29.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 52
% Syntax : Number of formulae : 135 ( 49 unt; 22 typ; 0 def)
% Number of atoms : 242 ( 37 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1140 ( 110 ~; 95 |; 0 &; 935 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 199 ( 0 ^ 199 !; 0 ?; 199 :)
% Comments :
%------------------------------------------------------------------------------
thf(p14_type,type,
p14: $i > $i > $o ).
thf(p9_type,type,
p9: $i > $i > $o ).
thf(p5_type,type,
p5: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p15_type,type,
p15: $i > $i > $o ).
thf(c17_type,type,
c17: $i ).
thf(c18_type,type,
c18: $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(f12_type,type,
f12: $i > $i ).
thf(f10_type,type,
f10: $i > $i ).
thf(p16_type,type,
p16: $i > $i > $o ).
thf(f11_type,type,
f11: $i > $i ).
thf(c21_type,type,
c21: $i ).
thf(f13_type,type,
f13: $i > $i ).
thf(f6_type,type,
f6: $i > $i > $i ).
thf(c22_type,type,
c22: $i ).
thf(f7_type,type,
f7: $i > $i > $i ).
thf(c20_type,type,
c20: $i ).
thf(c23_type,type,
c23: $i ).
thf(c19_type,type,
c19: $i ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p5 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_27) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p5 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ A @ B )
| ( p16 @ B @ ( f12 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_10) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( p16 @ A @ B )
| ( p16 @ B @ ( f12 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( p16 @ A @ B )
| ( p16 @ B @ ( f12 @ A ) ) ),
inference(cnf,[status(esa)],[32]) ).
thf(29,negated_conjecture,
! [A: $i] :
( ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ c23 ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) )
| ~ ( p16 @ ( f4 @ A ) @ ( f12 @ c19 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_29) ).
thf(52,plain,
! [A: $i] :
( ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ c23 ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) )
| ~ ( p16 @ ( f4 @ A ) @ ( f12 @ c19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(62,plain,
! [A: $i] :
( ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ c23 ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) )
| ~ ( p16 @ ( f4 @ A ) @ ( f12 @ c19 ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(28,negated_conjecture,
! [A: $i] :
~ ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_28) ).
thf(53,plain,
! [A: $i] :
~ ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(64,plain,
! [A: $i] :
~ ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ A ) ) ) ),
inference(polarity_switch,[status(thm)],[53]) ).
thf(200,plain,
! [B: $i,A: $i] :
( ~ ( p16 @ ( f4 @ A ) @ ( f12 @ c19 ) )
| ( ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ c23 ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) )
!= ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ B ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ B ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[62,64]) ).
thf(201,plain,
~ ( p16 @ ( f4 @ ( f13 @ c23 ) ) @ ( f12 @ c19 ) ),
inference(pattern_uni,[status(thm)],[200:[bind(A,$thf( f13 @ c23 )),bind(B,$thf( c23 ))]]) ).
thf(218,plain,
! [B: $i,A: $i] :
( ( p16 @ B @ ( f12 @ A ) )
| ( ( p16 @ A @ B )
!= ( p16 @ ( f4 @ ( f13 @ c23 ) ) @ ( f12 @ c19 ) ) ) ),
inference(paramod_ordered,[status(thm)],[72,201]) ).
thf(219,plain,
p16 @ ( f12 @ c19 ) @ ( f12 @ ( f4 @ ( f13 @ c23 ) ) ),
inference(pattern_uni,[status(thm)],[218:[bind(A,$thf( f4 @ ( f13 @ c23 ) )),bind(B,$thf( f12 @ c19 ))]]) ).
thf(235,plain,
( ( p16 @ ( f12 @ c19 ) @ ( f12 @ ( f4 @ ( f13 @ c23 ) ) ) )
!= ( p16 @ ( f4 @ ( f13 @ c23 ) ) @ ( f12 @ c19 ) ) ),
inference(paramod_ordered,[status(thm)],[219,201]) ).
thf(238,plain,
( ( ( f12 @ c19 )
!= ( f4 @ ( f13 @ c23 ) ) )
| ( ( f12 @ ( f4 @ ( f13 @ c23 ) ) )
!= ( f12 @ c19 ) ) ),
inference(simp,[status(thm)],[235]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p3 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(65,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p3 @ A @ B ) ),
inference(cnf,[status(esa)],[48]) ).
thf(7,negated_conjecture,
! [A: $i] : ( p3 @ ( f4 @ ( f8 @ A ) ) @ ( f12 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
thf(41,plain,
! [A: $i] : ( p3 @ ( f4 @ ( f8 @ A ) ) @ ( f12 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(129,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f4 @ ( f8 @ A ) ) @ ( f12 @ A ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[41,65]) ).
thf(130,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) @ ( f12 @ ( f12 @ A ) ) ),
inference(pattern_uni,[status(thm)],[129:[bind(A,$thf( F )),bind(B,$thf( f4 @ ( f8 @ F ) )),bind(C,$thf( f12 @ F ))]]) ).
thf(134,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) @ ( f12 @ ( f12 @ A ) ) ),
inference(simp,[status(thm)],[130]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(17,negated_conjecture,
! [A: $i] : ( p16 @ ( f4 @ ( f6 @ c18 @ c22 ) ) @ ( f4 @ ( f6 @ c18 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_17) ).
thf(39,plain,
! [A: $i] : ( p16 @ ( f4 @ ( f6 @ c18 @ c22 ) ) @ ( f4 @ ( f6 @ c18 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(93,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f4 @ ( f6 @ c18 @ c22 ) ) @ ( f4 @ ( f6 @ c18 @ A ) ) )
!= ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ B ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[39,64]) ).
thf(94,plain,
! [B: $i,A: $i] :
( ( ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ B ) )
!= ( f4 @ ( f6 @ c18 @ c22 ) ) )
| ( ( f4 @ ( f6 @ c18 @ A ) )
!= ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ B ) ) ) ) ),
inference(simp,[status(thm)],[93]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p5 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
thf(42,plain,
! [A: $i] : ( p5 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p3 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,negated_conjecture,
! [A: $i] : ( p3 @ ( f12 @ ( f10 @ A ) ) @ ( f10 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
thf(46,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f10 @ A ) ) @ ( f10 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(125,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f12 @ ( f10 @ A ) ) @ ( f10 @ A ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[46,65]) ).
thf(126,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) @ ( f12 @ ( f10 @ A ) ) ),
inference(pattern_uni,[status(thm)],[125:[bind(A,$thf( F )),bind(B,$thf( f12 @ ( f10 @ F ) )),bind(C,$thf( f10 @ F ))]]) ).
thf(135,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) @ ( f12 @ ( f10 @ A ) ) ),
inference(simp,[status(thm)],[126]) ).
thf(149,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) @ ( f12 @ ( f10 @ A ) ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[135,65]) ).
thf(150,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[149:[bind(A,$thf( H )),bind(B,$thf( f12 @ ( f12 @ ( f10 @ H ) ) )),bind(C,$thf( f12 @ ( f10 @ H ) ))]]) ).
thf(151,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ),
inference(simp,[status(thm)],[150]) ).
thf(155,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[151,65]) ).
thf(156,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ),
inference(pattern_uni,[status(thm)],[155:[bind(A,$thf( J )),bind(B,$thf( f12 @ ( f12 @ ( f12 @ ( f10 @ J ) ) ) )),bind(C,$thf( f12 @ ( f12 @ ( f10 @ J ) ) ))]]) ).
thf(157,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ),
inference(simp,[status(thm)],[156]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p5 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p5 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_26) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p5 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p5 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p5 @ A @ C ) ),
inference(cnf,[status(esa)],[56]) ).
thf(220,plain,
! [B: $i,A: $i] :
( ( p16 @ A @ B )
| ( ( p16 @ B @ ( f12 @ A ) )
!= ( p16 @ ( f4 @ ( f13 @ c23 ) ) @ ( f12 @ c19 ) ) ) ),
inference(paramod_ordered,[status(thm)],[72,201]) ).
thf(221,plain,
p16 @ c19 @ ( f4 @ ( f13 @ c23 ) ),
inference(pattern_uni,[status(thm)],[220:[bind(A,$thf( c19 )),bind(B,$thf( f4 @ ( f13 @ c23 ) ))]]) ).
thf(9,negated_conjecture,
! [A: $i] : ( p16 @ ( f10 @ ( f11 @ c21 ) ) @ ( f12 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_9) ).
thf(36,plain,
! [A: $i] : ( p16 @ ( f10 @ ( f11 @ c21 ) ) @ ( f12 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(88,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f10 @ ( f11 @ c21 ) ) @ ( f12 @ A ) )
!= ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ B ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[36,64]) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( ( f10 @ ( f11 @ c21 ) )
!= ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ B ) ) )
| ( ( f12 @ A )
!= ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ B ) ) ) ) ),
inference(simp,[status(thm)],[88]) ).
thf(19,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_19) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(97,plain,
! [B: $i,A: $i] :
( ( p16 @ A @ B )
| ( ( p16 @ B @ ( f12 @ A ) )
!= ( p16 @ A @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[72]) ).
thf(100,plain,
! [B: $i,A: $i] :
( ( p16 @ A @ B )
| ( B != A )
| ( ( f12 @ A )
!= B ) ),
inference(simp,[status(thm)],[97]) ).
thf(102,plain,
! [A: $i] :
( ( p16 @ A @ A )
| ( ( f12 @ A )
!= A ) ),
inference(simp,[status(thm)],[100]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p9 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(38,plain,
! [A: $i] : ( p9 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(137,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) @ ( f12 @ ( f12 @ A ) ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[134,65]) ).
thf(138,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[137:[bind(A,$thf( H )),bind(B,$thf( f12 @ ( f4 @ ( f8 @ H ) ) )),bind(C,$thf( f12 @ ( f12 @ H ) ))]]) ).
thf(139,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) ),
inference(simp,[status(thm)],[138]) ).
thf(152,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[139,65]) ).
thf(153,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) ) ),
inference(pattern_uni,[status(thm)],[152:[bind(A,$thf( J )),bind(B,$thf( f12 @ ( f12 @ ( f4 @ ( f8 @ J ) ) ) )),bind(C,$thf( f12 @ ( f12 @ ( f12 @ J ) ) ))]]) ).
thf(154,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) ) ),
inference(simp,[status(thm)],[153]) ).
thf(158,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[154,65]) ).
thf(159,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[158:[bind(A,$thf( L )),bind(B,$thf( f12 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ L ) ) ) ) )),bind(C,$thf( f12 @ ( f12 @ ( f12 @ ( f12 @ L ) ) ) ))]]) ).
thf(160,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f4 @ ( f8 @ A ) ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ A ) ) ) ) ) ),
inference(simp,[status(thm)],[159]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p9 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p9 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p9 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p9 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( p9 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p9 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p14 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_1) ).
thf(34,plain,
! [A: $i] : ( p14 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(30,negated_conjecture,
! [A: $i] :
( ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f8 @ ( f10 @ ( f11 @ c21 ) ) ) ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) )
| ~ ( p16 @ c19 @ ( f4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_30) ).
thf(59,plain,
! [A: $i] :
( ( p16 @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ ( f8 @ ( f10 @ ( f11 @ c21 ) ) ) ) ) @ ( f4 @ ( f6 @ ( f7 @ c20 @ c18 ) @ A ) ) )
| ~ ( p16 @ c19 @ ( f4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(21,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_21) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ D )
| ~ ( p5 @ D @ B )
| ~ ( p14 @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_24) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ D )
| ~ ( p5 @ D @ B )
| ~ ( p14 @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ D )
| ~ ( p5 @ D @ B )
| ~ ( p14 @ C @ A ) ),
inference(cnf,[status(esa)],[49]) ).
thf(196,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ B ) @ ( f12 @ C ) )
| ( ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) )
!= ( p3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[157,65]) ).
thf(197,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[196:[bind(A,$thf( L )),bind(B,$thf( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ L ) ) ) ) )),bind(C,$thf( f12 @ ( f12 @ ( f12 @ ( f10 @ L ) ) ) ))]]) ).
thf(198,plain,
! [A: $i] : ( p3 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ) ) @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f10 @ A ) ) ) ) ) ),
inference(simp,[status(thm)],[197]) ).
thf(108,plain,
! [B: $i,A: $i] :
( ( ( f6 @ ( f7 @ c20 @ c18 ) @ B )
!= ( f6 @ c18 @ c22 ) )
| ( ( f6 @ c18 @ A )
!= ( f6 @ ( f7 @ c20 @ c18 ) @ ( f13 @ B ) ) ) ),
inference(simp,[status(thm)],[94]) ).
thf(6,negated_conjecture,
p15 @ c17 @ c18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).
thf(35,plain,
p15 @ c17 @ c18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ D @ B )
| ~ ( p16 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ D @ B )
| ~ ( p16 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(163,plain,
! [B: $i,A: $i] :
( ( ( f7 @ c20 @ c18 )
!= c18 )
| ( B != c22 )
| ( ( f7 @ c20 @ c18 )
!= c18 )
| ( A
!= ( f13 @ B ) ) ),
inference(simp,[status(thm)],[108]) ).
thf(182,plain,
( ( f7 @ c20 @ c18 )
!= c18 ),
inference(simp,[status(thm)],[163]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(31,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,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_18) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p14 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(22,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_22) ).
thf(55,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_20) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
thf(47,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(222,plain,
! [A: $i] :
( ( p16 @ ( f10 @ ( f11 @ c21 ) ) @ ( f12 @ A ) )
!= ( p16 @ ( f4 @ ( f13 @ c23 ) ) @ ( f12 @ c19 ) ) ),
inference(paramod_ordered,[status(thm)],[36,201]) ).
thf(227,plain,
! [A: $i] :
( ( ( f10 @ ( f11 @ c21 ) )
!= ( f4 @ ( f13 @ c23 ) ) )
| ( ( f12 @ A )
!= ( f12 @ c19 ) ) ),
inference(simp,[status(thm)],[222]) ).
thf(229,plain,
( ( p16 @ ( f4 @ ( f13 @ c23 ) ) @ ( f12 @ c19 ) )
!= ( p16 @ c19 @ ( f4 @ ( f13 @ c23 ) ) ) ),
inference(paramod_ordered,[status(thm)],[221,201]) ).
thf(232,plain,
( ( ( f4 @ ( f13 @ c23 ) )
!= c19 )
| ( ( f12 @ c19 )
!= ( f4 @ ( f13 @ c23 ) ) ) ),
inference(simp,[status(thm)],[229]) ).
thf(1595,plain,
$false,
inference(e,[status(thm)],[56,238,65,53,41,134,48,58,94,42,37,52,157,46,57,61,221,89,60,201,102,38,160,33,45,64,32,34,44,59,54,49,219,76,39,198,108,135,35,50,182,31,154,72,43,40,55,139,151,36,51,47,62,227,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN604-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 13:38:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.90/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.94 % [INFO] Parsing done (119ms).
% 1.25/0.95 % [INFO] Running in sequential loop mode.
% 1.62/1.17 % [INFO] eprover registered as external prover.
% 1.62/1.17 % [INFO] cvc4 registered as external prover.
% 1.62/1.17 % [INFO] Scanning for conjecture ...
% 1.93/1.26 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.17/1.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.17/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/1.32 % [INFO] Type checking passed.
% 2.17/1.32 % [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 ...
% 29.65/5.30 % External prover 'e' found a proof!
% 29.65/5.30 % [INFO] Killing All external provers ...
% 29.65/5.30 % Time passed: 4772ms (effective reasoning time: 4349ms)
% 29.65/5.30 % 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)>
% 29.65/5.30 % Axioms used in derivation (0):
% 29.65/5.30 % No. of inferences in proof: 113
% 29.65/5.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4772 ms resp. 4349 ms w/o parsing
% 29.65/5.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 29.65/5.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------