TSTP Solution File: NUM154-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM154-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 Apr 30 14:13:53 EDT 2024
% Result : Unsatisfiable 89.16s 13.07s
% Output : Refutation 89.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 23
% Syntax : Number of formulae : 97 ( 30 unt; 0 def)
% Number of atoms : 194 ( 53 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 181 ( 84 ~; 97 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 113 ( 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f182274,plain,
$false,
inference(resolution,[],[f182257,f45706]) ).
fof(f45706,plain,
member(null_class,universal_class),
inference(resolution,[],[f45697,f549]) ).
fof(f549,plain,
! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
inference(superposition,[],[f11,f13]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f45697,plain,
( ~ member(ordered_pair(null_class,null_class),universal_class)
| member(null_class,universal_class) ),
inference(resolution,[],[f45682,f2515]) ).
fof(f2515,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f2491]) ).
fof(f2491,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(resolution,[],[f2472,f2443]) ).
fof(f2443,plain,
! [X0] :
( member(X0,kind_1_ordinals)
| ~ member(X0,null_class) ),
inference(superposition,[],[f22,f2440]) ).
fof(f2440,plain,
null_class = intersection(limit_ordinals,kind_1_ordinals),
inference(duplicate_literal_removal,[],[f2428]) ).
fof(f2428,plain,
( null_class = intersection(limit_ordinals,kind_1_ordinals)
| null_class = intersection(limit_ordinals,kind_1_ordinals) ),
inference(resolution,[],[f1230,f188]) ).
fof(f188,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f22,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f1230,plain,
! [X0] :
( ~ member(regular(intersection(limit_ordinals,X0)),kind_1_ordinals)
| null_class = intersection(limit_ordinals,X0) ),
inference(resolution,[],[f179,f186]) ).
fof(f186,plain,
! [X0] :
( ~ member(X0,limit_ordinals)
| ~ member(X0,kind_1_ordinals) ),
inference(resolution,[],[f182,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f182,plain,
! [X0] :
( member(X0,complement(kind_1_ordinals))
| ~ member(X0,limit_ordinals) ),
inference(superposition,[],[f21,f139]) ).
fof(f139,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',limit_ordinals) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f179,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f66]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f2472,plain,
! [X0] :
( ~ member(X0,kind_1_ordinals)
| ~ member(X0,null_class) ),
inference(resolution,[],[f2442,f186]) ).
fof(f2442,plain,
! [X0] :
( member(X0,limit_ordinals)
| ~ member(X0,null_class) ),
inference(superposition,[],[f21,f2440]) ).
fof(f45682,plain,
( member(ordered_pair(null_class,null_class),null_class)
| ~ member(ordered_pair(null_class,null_class),universal_class)
| member(null_class,universal_class) ),
inference(resolution,[],[f45678,f6861]) ).
fof(f6861,plain,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),successor_relation)
| member(X1,universal_class) ),
inference(resolution,[],[f354,f44]) ).
fof(f44,axiom,
subclass(successor_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation1) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4] :
( ~ subclass(X3,cross_product(X4,X1))
| ~ member(ordered_pair(X2,X0),X3)
| member(X0,X1) ),
inference(resolution,[],[f15,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f45678,plain,
( member(ordered_pair(null_class,null_class),successor_relation)
| ~ member(ordered_pair(null_class,null_class),universal_class)
| member(ordered_pair(null_class,null_class),null_class) ),
inference(duplicate_literal_removal,[],[f45668]) ).
fof(f45668,plain,
( member(ordered_pair(null_class,null_class),null_class)
| ~ member(ordered_pair(null_class,null_class),universal_class)
| member(ordered_pair(null_class,null_class),successor_relation)
| ~ member(ordered_pair(null_class,null_class),universal_class) ),
inference(resolution,[],[f45359,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f45359,plain,
( ~ member(ordered_pair(null_class,null_class),complement(successor_relation))
| member(ordered_pair(null_class,null_class),null_class)
| ~ member(ordered_pair(null_class,null_class),universal_class) ),
inference(resolution,[],[f45338,f176]) ).
fof(f176,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f9,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f45338,plain,
! [X0] :
( ~ member(X0,singleton(ordered_pair(null_class,null_class)))
| member(X0,null_class)
| ~ member(X0,complement(successor_relation)) ),
inference(superposition,[],[f23,f45332]) ).
fof(f45332,plain,
null_class = intersection(complement(successor_relation),singleton(ordered_pair(null_class,null_class))),
inference(resolution,[],[f44621,f50]) ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f44621,plain,
! [X0] :
( ~ inductive(X0)
| null_class = intersection(complement(successor_relation),singleton(ordered_pair(null_class,null_class))) ),
inference(resolution,[],[f44565,f47]) ).
fof(f47,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).
fof(f44565,plain,
! [X0] :
( ~ member(null_class,X0)
| null_class = intersection(complement(successor_relation),singleton(ordered_pair(null_class,null_class))) ),
inference(resolution,[],[f43895,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f43895,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(null_class,X0)
| null_class = intersection(complement(successor_relation),singleton(ordered_pair(null_class,null_class))) ),
inference(resolution,[],[f43693,f1]) ).
fof(f43693,plain,
( ~ member(null_class,universal_class)
| null_class = intersection(complement(successor_relation),singleton(ordered_pair(null_class,null_class))) ),
inference(resolution,[],[f40806,f34758]) ).
fof(f34758,plain,
( member(ordered_pair(null_class,null_class),successor_relation)
| ~ member(null_class,universal_class) ),
inference(duplicate_literal_removal,[],[f34757]) ).
fof(f34757,plain,
( ~ member(null_class,universal_class)
| member(ordered_pair(null_class,null_class),successor_relation)
| ~ member(null_class,universal_class) ),
inference(forward_demodulation,[],[f30700,f30697]) ).
fof(f30697,plain,
null_class = x,
inference(duplicate_literal_removal,[],[f30604]) ).
fof(f30604,plain,
( null_class = x
| null_class = x ),
inference(resolution,[],[f30551,f66]) ).
fof(f30551,plain,
! [X0] :
( ~ member(regular(x),X0)
| null_class = x ),
inference(resolution,[],[f29546,f4]) ).
fof(f29546,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(regular(x),X0)
| null_class = x ),
inference(resolution,[],[f29487,f1]) ).
fof(f29487,plain,
( ~ member(regular(x),universal_class)
| null_class = x ),
inference(resolution,[],[f29441,f66]) ).
fof(f29441,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f29400,f2515]) ).
fof(f29400,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(resolution,[],[f29397,f24]) ).
fof(f29397,plain,
! [X0] :
( member(X0,complement(x))
| ~ member(X0,universal_class)
| member(X0,null_class) ),
inference(superposition,[],[f29347,f159]) ).
fof(f159,axiom,
null_class = successor(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_5_to_successor_property1_1) ).
fof(f29347,plain,
! [X0,X1] :
( member(X1,successor(X0))
| ~ member(X1,universal_class)
| member(X1,complement(X0)) ),
inference(superposition,[],[f10723,f43]) ).
fof(f43,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
fof(f10723,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,universal_class)
| member(X0,complement(X1)) ),
inference(resolution,[],[f423,f21]) ).
fof(f423,plain,
! [X2,X0,X1] :
( member(X2,intersection(complement(X0),complement(X1)))
| member(X2,union(X0,X1))
| ~ member(X2,universal_class) ),
inference(superposition,[],[f25,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f30700,plain,
( member(ordered_pair(null_class,null_class),successor_relation)
| ~ member(null_class,universal_class)
| ~ member(x,universal_class) ),
inference(backward_demodulation,[],[f2815,f30697]) ).
fof(f2815,plain,
( member(ordered_pair(x,null_class),successor_relation)
| ~ member(null_class,universal_class)
| ~ member(x,universal_class) ),
inference(resolution,[],[f2813,f16]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X2,X3),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f2813,plain,
( ~ member(ordered_pair(x,null_class),cross_product(universal_class,universal_class))
| member(ordered_pair(x,null_class),successor_relation) ),
inference(superposition,[],[f162,f159]) ).
fof(f162,plain,
! [X0] :
( ~ member(ordered_pair(X0,successor(X0)),cross_product(universal_class,universal_class))
| member(ordered_pair(X0,successor(X0)),successor_relation) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( successor(X0) != X1
| member(ordered_pair(X0,X1),successor_relation)
| ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation3) ).
fof(f40806,plain,
! [X0,X1] :
( ~ member(X1,X0)
| null_class = intersection(complement(X0),singleton(X1)) ),
inference(duplicate_literal_removal,[],[f40795]) ).
fof(f40795,plain,
! [X0,X1] :
( ~ member(X1,X0)
| null_class = intersection(complement(X0),singleton(X1))
| null_class = intersection(complement(X0),singleton(X1)) ),
inference(superposition,[],[f1206,f1470]) ).
fof(f1470,plain,
! [X0,X1] :
( regular(intersection(X0,singleton(X1))) = X1
| null_class = intersection(X0,singleton(X1)) ),
inference(resolution,[],[f188,f509]) ).
fof(f509,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f508]) ).
fof(f508,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f1206,plain,
! [X0,X1] :
( ~ member(regular(intersection(complement(X0),X1)),X0)
| null_class = intersection(complement(X0),X1) ),
inference(resolution,[],[f179,f24]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f182257,plain,
~ member(null_class,universal_class),
inference(resolution,[],[f182252,f2515]) ).
fof(f182252,plain,
( member(null_class,null_class)
| ~ member(null_class,universal_class) ),
inference(duplicate_literal_removal,[],[f182190]) ).
fof(f182190,plain,
( member(null_class,null_class)
| ~ member(null_class,universal_class)
| ~ member(null_class,universal_class) ),
inference(resolution,[],[f181795,f176]) ).
fof(f181795,plain,
! [X0] :
( ~ member(X0,singleton(null_class))
| member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f181560,f24]) ).
fof(f181560,plain,
! [X0] :
( member(X0,complement(singleton(null_class)))
| ~ member(X0,universal_class)
| member(X0,null_class) ),
inference(superposition,[],[f10722,f181281]) ).
fof(f181281,plain,
null_class = union(null_class,singleton(null_class)),
inference(superposition,[],[f181199,f26]) ).
fof(f181199,plain,
null_class = complement(intersection(complement(null_class),complement(singleton(null_class)))),
inference(forward_demodulation,[],[f181198,f30698]) ).
fof(f30698,plain,
null_class = successor(null_class),
inference(backward_demodulation,[],[f159,f30697]) ).
fof(f181198,plain,
successor(null_class) = complement(intersection(complement(null_class),complement(singleton(null_class)))),
inference(forward_demodulation,[],[f181197,f2530]) ).
fof(f2530,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f2515,f188]) ).
fof(f181197,plain,
! [X0] : successor(intersection(complement(X0),null_class)) = complement(intersection(complement(null_class),complement(singleton(intersection(complement(X0),null_class))))),
inference(forward_demodulation,[],[f181035,f24414]) ).
fof(f24414,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f24327]) ).
fof(f24327,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f24240,f66]) ).
fof(f24240,plain,
! [X0] :
( ~ member(regular(complement(universal_class)),X0)
| null_class = complement(universal_class) ),
inference(resolution,[],[f318,f4]) ).
fof(f318,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ member(regular(complement(X0)),X1)
| complement(X0) = null_class ),
inference(resolution,[],[f169,f1]) ).
fof(f169,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f181035,plain,
! [X0] : successor(intersection(complement(X0),complement(universal_class))) = complement(intersection(complement(null_class),complement(singleton(intersection(complement(X0),complement(universal_class)))))),
inference(superposition,[],[f10484,f24681]) ).
fof(f24681,plain,
! [X0] : complement(null_class) = union(X0,universal_class),
inference(forward_demodulation,[],[f24646,f2530]) ).
fof(f24646,plain,
! [X0] : complement(intersection(complement(X0),null_class)) = union(X0,universal_class),
inference(superposition,[],[f26,f24414]) ).
fof(f10484,plain,
! [X0,X1] : successor(intersection(complement(X0),complement(X1))) = complement(intersection(union(X0,X1),complement(singleton(intersection(complement(X0),complement(X1)))))),
inference(superposition,[],[f419,f43]) ).
fof(f419,plain,
! [X2,X0,X1] : union(intersection(complement(X0),complement(X1)),X2) = complement(intersection(union(X0,X1),complement(X2))),
inference(superposition,[],[f26,f26]) ).
fof(f10722,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,universal_class)
| member(X0,complement(X2)) ),
inference(resolution,[],[f423,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM154-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:00:43 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % (12195)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (12204)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.19/0.37 % (12202)WARNING: value z3 for option sas not known
% 0.19/0.37 % (12200)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 % (12201)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37 % (12202)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.37 % (12205)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.19/0.37 % (12203)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37 % (12206)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.41 TRYING [1]
% 0.19/0.42 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 1.65/0.61 TRYING [4]
% 2.00/0.64 TRYING [3]
% 4.27/0.96 TRYING [5]
% 6.28/1.27 TRYING [4]
% 7.90/1.47 TRYING [1]
% 7.90/1.47 TRYING [2]
% 7.90/1.49 TRYING [3]
% 8.37/1.54 TRYING [4]
% 9.49/1.70 TRYING [5]
% 12.59/2.18 TRYING [6]
% 13.19/2.23 TRYING [6]
% 23.64/3.74 TRYING [7]
% 46.34/6.97 TRYING [8]
% 59.31/8.85 TRYING [5]
% 75.41/11.10 TRYING [7]
% 89.16/13.05 % (12205)First to succeed.
% 89.16/13.07 % (12205)Refutation found. Thanks to Tanya!
% 89.16/13.07 % SZS status Unsatisfiable for theBenchmark
% 89.16/13.07 % SZS output start Proof for theBenchmark
% See solution above
% 89.16/13.07 % (12205)------------------------------
% 89.16/13.07 % (12205)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 89.16/13.07 % (12205)Termination reason: Refutation
% 89.16/13.07
% 89.16/13.07 % (12205)Memory used [KB]: 97811
% 89.16/13.07 % (12205)Time elapsed: 12.690 s
% 89.16/13.07 % (12205)Instructions burned: 34233 (million)
% 89.16/13.07 % (12205)------------------------------
% 89.16/13.07 % (12205)------------------------------
% 89.16/13.07 % (12195)Success in time 12.63 s
%------------------------------------------------------------------------------