%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:52 AM UTC 2026
% Result : Unsatisfiable 24.64s 3.77s
% Output : Refutation 24.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 147 ( 38 unt; 7 def)
% Number of atoms : 343 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 323 ( 127 ~; 189 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 158 ( 0 sgn 158 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X5)
| ~ product(X2,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom2) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ defined(X3,X2)
| defined(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X0,X5)
| ~ product(X3,X2,X4)
| ~ product(X0,X1,X2)
| product(X5,X1,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom5) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ defined(X0,X1)
| ~ defined(X1,X2)
| ~ identity_map(X1)
| defined(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
fof(f16,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f17,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ product(X2,a,X1)
| ~ product(X0,a,X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ product(X2,b,X1)
| ~ product(X0,b,X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f21,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f22,axiom,
product(h,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hc_equals_d) ).
fof(f23,axiom,
product(g,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gc_equals_d) ).
fof(f24,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f25,plain,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| defined(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ defined(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X2,X3)
| ~ defined(X1,X3) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ defined(X3,X0)
| defined(X3,X2)
| ~ product(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ defined(X0,X2)
| defined(X1,X2)
| identity_map(X1)
| defined(X0,X1) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f32,plain,
! [X0] : ~ identity_map(domain(X0)),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f33,plain,
! [X0] : ~ identity_map(codomain(X0)),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f34,plain,
! [X0] : ~ defined(X0,domain(X0)),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f35,plain,
! [X0] : ~ defined(codomain(X0),X0),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f36,plain,
! [X0,X1] :
( product(X0,X1,X1)
| identity_map(X0)
| defined(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f37,plain,
! [X0,X1] :
( product(X0,X1,X0)
| identity_map(X1)
| defined(X0,X1) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f41,plain,
~ defined(h,c),
inference(resolution,[],[f26,f22]) ).
fof(f42,plain,
~ defined(g,c),
inference(resolution,[],[f26,f23]) ).
fof(f46,plain,
! [X0,X1] :
( ~ defined(domain(X0),X1)
| defined(X0,X1) ),
inference(resolution,[],[f27,f14]) ).
fof(f54,plain,
! [X0,X1] :
( ~ product(X0,a,compose(X1,a))
| X0 = X1
| defined(X1,a) ),
inference(resolution,[],[f19,f25]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| compose(X0,X1) = X2
| defined(X0,X1) ),
inference(resolution,[],[f18,f25]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X1 = X2
| identity_map(X0)
| defined(X0,X1) ),
inference(resolution,[],[f18,f36]) ).
fof(f85,plain,
! [X0] :
( ~ product(h,c,X0)
| d = X0 ),
inference(resolution,[],[f18,f22]) ).
fof(f86,plain,
! [X0] :
( ~ product(g,c,X0)
| d = X0 ),
inference(resolution,[],[f18,f23]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X1 = X2
| identity_map(X0) ),
inference(forward_subsumption_resolution,[],[f81,f26]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| compose(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f80,f26]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,domain(X1),X2)
| ~ product(X3,X1,X0)
| product(X3,X1,X2) ),
inference(resolution,[],[f5,f14]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X4,X0)
| ~ product(X0,X1,X2)
| product(X3,compose(X4,X1),X2)
| defined(X4,X1) ),
inference(resolution,[],[f5,f25]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ product(domain(X0),X3,X1)
| ~ product(X0,X1,X2)
| product(X0,X3,X2) ),
inference(resolution,[],[f8,f14]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X4,X1)
| ~ product(X0,X1,X2)
| product(compose(X0,X3),X4,X2)
| defined(X0,X3) ),
inference(resolution,[],[f8,f25]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ product(b,X2,X0)
| ~ product(a,X0,X1)
| product(c,X2,X1) ),
inference(resolution,[],[f8,f21]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ product(g,X0,X1)
| ~ product(c,X2,X0)
| product(d,X2,X1) ),
inference(resolution,[],[f8,f23]) ).
fof(f171,plain,
( d = compose(h,c)
| defined(h,c) ),
inference(resolution,[],[f85,f25]) ).
fof(f176,plain,
d = compose(h,c),
inference(forward_subsumption_resolution,[],[f171,f41]) ).
fof(f192,plain,
( d = compose(g,c)
| defined(g,c) ),
inference(resolution,[],[f86,f25]) ).
fof(f197,plain,
d = compose(g,c),
inference(forward_subsumption_resolution,[],[f192,f42]) ).
fof(f238,plain,
! [X0,X1] :
( defined(X1,X0)
| identity_map(X1)
| compose(X1,X0) = X0 ),
inference(resolution,[],[f88,f25]) ).
fof(f302,plain,
! [X0] :
( ~ product(a,b,X0)
| product(c,domain(b),X0) ),
inference(resolution,[],[f132,f14]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,X1,compose(X2,domain(X1)))
| defined(X2,domain(X1)) ),
inference(resolution,[],[f110,f25]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ product(X0,compose(domain(X0),X1),X2)
| product(X0,X1,X2)
| defined(domain(X0),X1) ),
inference(resolution,[],[f127,f25]) ).
fof(f360,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,compose(X3,X1),X2)
| defined(X3,X1)
| identity_map(X3)
| defined(X0,X3) ),
inference(resolution,[],[f111,f37]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,compose(X1,X2),X3)
| product(compose(X0,X1),X2,X3)
| defined(X0,X1)
| defined(X1,X2) ),
inference(resolution,[],[f128,f25]) ).
fof(f413,plain,
! [X0,X1] :
( ~ product(X0,c,X1)
| product(compose(X0,a),b,X1)
| defined(X0,a) ),
inference(resolution,[],[f128,f21]) ).
fof(f502,plain,
product(c,domain(b),c),
inference(resolution,[],[f302,f21]) ).
fof(f658,plain,
~ defined(c,domain(b)),
inference(resolution,[],[f502,f26]) ).
fof(f662,plain,
c = compose(c,domain(b)),
inference(resolution,[],[f502,f89]) ).
fof(f954,plain,
! [X0] :
( product(compose(X0,a),b,compose(X0,c))
| defined(X0,a)
| defined(X0,c) ),
inference(resolution,[],[f413,f25]) ).
fof(f966,definition,
( spl0_19
<=> defined(g,a) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f968,plain,
( defined(g,a)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f976,definition,
( spl0_21
<=> defined(h,a) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f977,plain,
( ~ defined(h,a)
| spl0_21 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f978,plain,
( defined(h,a)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f1017,definition,
( spl0_29
<=> product(compose(g,a),b,d) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1019,plain,
( product(compose(g,a),b,d)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1022,definition,
( spl0_30
<=> product(compose(h,a),b,d) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f1024,plain,
( product(compose(h,a),b,d)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1026,plain,
! [X0] :
( ~ product(c,X0,c)
| product(d,X0,d) ),
inference(resolution,[],[f135,f23]) ).
fof(f1038,plain,
( ! [X0,X1] :
( ~ product(a,X1,X0)
| defined(g,X0) )
| ~ spl0_19 ),
inference(resolution,[],[f968,f29]) ).
fof(f1040,plain,
product(d,domain(c),d),
inference(resolution,[],[f1026,f14]) ).
fof(f1048,plain,
( ! [X0,X1] :
( ~ product(a,X1,X0)
| defined(h,X0) )
| ~ spl0_21 ),
inference(resolution,[],[f978,f29]) ).
fof(f1091,plain,
~ defined(d,domain(c)),
inference(resolution,[],[f1040,f26]) ).
fof(f1095,plain,
d = compose(d,domain(c)),
inference(resolution,[],[f1040,f89]) ).
fof(f1237,definition,
( spl0_39
<=> defined(codomain(d),h) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f1238,plain,
( ~ defined(codomain(d),h)
| spl0_39 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1239,plain,
( defined(codomain(d),h)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1241,definition,
( spl0_40
<=> product(compose(codomain(d),h),c,d) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1243,plain,
( product(compose(codomain(d),h),c,d)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1250,plain,
( ! [X0,X1] :
( ~ product(h,X1,X0)
| defined(codomain(d),X0) )
| ~ spl0_39 ),
inference(resolution,[],[f1239,f29]) ).
fof(f1356,plain,
( product(a,b,compose(c,domain(b)))
| defined(c,domain(b)) ),
inference(resolution,[],[f336,f21]) ).
fof(f1358,plain,
( product(h,c,compose(d,domain(c)))
| defined(d,domain(c)) ),
inference(resolution,[],[f336,f22]) ).
fof(f1363,plain,
product(h,c,compose(d,domain(c))),
inference(forward_subsumption_resolution,[],[f1358,f1091]) ).
fof(f1365,plain,
product(a,b,compose(c,domain(b))),
inference(forward_subsumption_resolution,[],[f1356,f658]) ).
fof(f1891,plain,
! [X2,X0,X1] :
( product(X0,compose(X1,X2),compose(X0,X2))
| defined(X1,X2)
| identity_map(X1)
| defined(X0,X1)
| defined(X0,X2) ),
inference(resolution,[],[f360,f25]) ).
fof(f1905,plain,
! [X2,X0,X1] :
( product(X0,compose(X1,X2),compose(X0,X2))
| defined(X1,X2)
| identity_map(X1)
| defined(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1891,f31]) ).
fof(f1973,plain,
! [X0,X1] :
( product(compose(codomain(compose(X0,X1)),X0),X1,compose(X0,X1))
| defined(codomain(compose(X0,X1)),X0)
| defined(X0,X1) ),
inference(resolution,[],[f409,f15]) ).
fof(f5229,plain,
( ! [X0] :
( ~ product(X0,b,d)
| compose(g,a) = X0 )
| ~ spl0_29 ),
inference(resolution,[],[f1019,f20]) ).
fof(f5939,plain,
( identity_map(codomain(d))
| h = compose(codomain(d),h)
| spl0_39 ),
inference(resolution,[],[f1238,f238]) ).
fof(f5942,plain,
( h = compose(codomain(d),h)
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f5939,f33]) ).
fof(f10508,plain,
( product(compose(g,a),b,d)
| defined(g,a)
| defined(g,c) ),
inference(superposition,[],[f954,f197]) ).
fof(f12308,plain,
( product(compose(g,a),b,d)
| defined(g,a) ),
inference(forward_subsumption_resolution,[],[f10508,f42]) ).
fof(f12324,plain,
( spl0_19
| spl0_29 ),
inference(avatar_split_clause,[],[f12308,f1017,f966]) ).
fof(f20503,plain,
! [X0,X1] :
( defined(domain(X0),X1)
| identity_map(domain(X0))
| defined(X0,domain(X0))
| product(X0,X1,compose(X0,X1))
| defined(domain(X0),X1) ),
inference(resolution,[],[f1905,f345]) ).
fof(f20587,plain,
! [X0,X1] :
( defined(domain(X0),X1)
| identity_map(domain(X0))
| defined(X0,domain(X0))
| product(X0,X1,compose(X0,X1)) ),
inference(duplicate_literal_removal,[],[f20503]) ).
fof(f20591,plain,
! [X0,X1] :
( defined(domain(X0),X1)
| defined(X0,domain(X0))
| product(X0,X1,compose(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f20587,f32]) ).
fof(f20593,plain,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[],[f20591,f34]) ).
fof(f26467,plain,
( product(compose(codomain(d),h),c,d)
| defined(codomain(d),h)
| defined(h,c) ),
inference(superposition,[],[f1973,f176]) ).
fof(f29590,definition,
( spl0_650
<=> defined(domain(g),a) ),
introduced(definition,[new_symbols(definition,[spl0_650])],[avatar_definition]) ).
fof(f29591,plain,
( ~ defined(domain(g),a)
| spl0_650 ),
inference(avatar_component_clause,[],[f29590]) ).
fof(f29592,plain,
( defined(domain(g),a)
| ~ spl0_650 ),
inference(avatar_component_clause,[],[f29590]) ).
fof(f29604,plain,
( defined(g,a)
| ~ spl0_650 ),
inference(resolution,[],[f29592,f46]) ).
fof(f34778,plain,
( product(compose(codomain(d),h),c,d)
| defined(codomain(d),h) ),
inference(forward_subsumption_resolution,[],[f26467,f41]) ).
fof(f34937,plain,
( spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f34778,f1241,f1237]) ).
fof(f36029,plain,
( defined(g,compose(c,domain(b)))
| ~ spl0_19 ),
inference(resolution,[],[f1038,f1365]) ).
fof(f36104,plain,
( defined(g,c)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f36029,f662]) ).
fof(f36115,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f36104,f42]) ).
fof(f36116,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f36115]) ).
fof(f36145,plain,
( spl0_19
| ~ spl0_650 ),
inference(avatar_split_clause,[],[f29604,f29590,f966]) ).
fof(f37861,plain,
( defined(codomain(d),compose(d,domain(c)))
| ~ spl0_39 ),
inference(resolution,[],[f1250,f1363]) ).
fof(f37950,plain,
( defined(codomain(d),d)
| ~ spl0_39 ),
inference(forward_demodulation,[],[f37861,f1095]) ).
fof(f37962,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f37950,f35]) ).
fof(f37963,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f37962]) ).
fof(f38013,plain,
( product(compose(compose(codomain(d),h),a),b,d)
| defined(compose(codomain(d),h),a)
| ~ spl0_40 ),
inference(resolution,[],[f1243,f413]) ).
fof(f40104,plain,
( defined(h,compose(c,domain(b)))
| ~ spl0_21 ),
inference(resolution,[],[f1048,f1365]) ).
fof(f40181,plain,
( defined(h,c)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f40104,f662]) ).
fof(f40193,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f40181,f41]) ).
fof(f40194,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f40193]) ).
fof(f40271,plain,
( product(compose(h,a),b,d)
| defined(compose(codomain(d),h),a)
| spl0_39
| ~ spl0_40 ),
inference(forward_demodulation,[],[f38013,f5942]) ).
fof(f40278,plain,
( defined(h,a)
| product(compose(h,a),b,d)
| spl0_39
| ~ spl0_40 ),
inference(forward_demodulation,[],[f40271,f5942]) ).
fof(f40282,plain,
( spl0_30
| spl0_21
| spl0_39
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f40278,f1241,f1237,f976,f1022]) ).
fof(f45266,plain,
( compose(h,a) = compose(g,a)
| ~ spl0_29
| ~ spl0_30 ),
inference(resolution,[],[f5229,f1024]) ).
fof(f140226,plain,
( product(g,a,compose(h,a))
| defined(domain(g),a)
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f20593,f45266]) ).
fof(f140235,plain,
( product(g,a,compose(h,a))
| ~ spl0_29
| ~ spl0_30
| spl0_650 ),
inference(forward_subsumption_resolution,[],[f140226,f29591]) ).
fof(f140462,plain,
( h = g
| defined(h,a)
| ~ spl0_29
| ~ spl0_30
| spl0_650 ),
inference(resolution,[],[f140235,f54]) ).
fof(f140540,plain,
( defined(h,a)
| ~ spl0_29
| ~ spl0_30
| spl0_650 ),
inference(forward_subsumption_resolution,[],[f140462,f24]) ).
fof(f140546,plain,
( $false
| spl0_21
| ~ spl0_29
| ~ spl0_30
| spl0_650 ),
inference(forward_subsumption_resolution,[],[f140540,f977]) ).
fof(f140547,plain,
( spl0_21
| ~ spl0_29
| ~ spl0_30
| spl0_650 ),
inference(avatar_contradiction_clause,[],[f140546]) ).
cnf(s552,plain,
( spl0_19
| spl0_29 ),
inference(sat_conversion,[],[f12324]) ).
cnf(s1514,plain,
( spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f34937]) ).
cnf(s1560,plain,
~ spl0_19,
inference(sat_conversion,[],[f36116]) ).
cnf(s1570,plain,
( spl0_19
| ~ spl0_650 ),
inference(sat_conversion,[],[f36145]) ).
cnf(s1713,plain,
~ spl0_39,
inference(sat_conversion,[],[f37963]) ).
cnf(s1791,plain,
~ spl0_21,
inference(sat_conversion,[],[f40194]) ).
cnf(s1820,plain,
( spl0_21
| spl0_30
| spl0_39
| ~ spl0_40 ),
inference(sat_conversion,[],[f40282]) ).
cnf(s6664,plain,
( spl0_21
| ~ spl0_29
| ~ spl0_30
| spl0_650 ),
inference(sat_conversion,[],[f140547]) ).
cnf(s6747,plain,
~ spl0_650,
inference(rat,[],[s1570,s1560]) ).
cnf(s6778,plain,
spl0_40,
inference(rat,[],[s1514,s1713]) ).
cnf(s6780,plain,
spl0_30,
inference(rat,[],[s1820,s1713,s1791,s6778]) ).
cnf(s6791,plain,
~ spl0_29,
inference(rat,[],[s6664,s6747,s1791,s6780]) ).
cnf(s7067,plain,
$false,
inference(rat,[],[s552,s6791,s1560]) ).
fof(f140552,plain,
$false,
inference(avatar_sat_refutation,[],[s7067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:12:45 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.15/2.97 % (2192037)Will run a generic schedule for satisfiability detection.
% 18.15/2.97 % (2192042)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4021190093_2999 on theBenchmark for (2999ds/0Mi)
% 18.15/2.97 % TRYING [1]
% 18.15/2.97 % TRYING [2]
% 18.15/2.97 % TRYING [3]
% 18.15/2.97 % (2192043)% WARNING: option uhcvi not known.
% 18.15/2.97 % TRYING [4]
% 18.15/2.97 % (2192043)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3216056768:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.15/2.97 % (2192044)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3214020417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.15/2.97 % (2192045)dis+10_1_sil=32000:sp=arity:random_seed=88151433:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.15/2.97 % (2192046)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2044765531:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.15/2.97 % (2192047)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=191832204:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.15/2.97 % TRYING [5]
% 18.15/2.97 % (2192048)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1395904088:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.15/2.97 % TRYING [6]
% 18.15/2.97 % (2192045)Instruction limit reached!
% 18.15/2.97 % (2192045)------------------------------
% 18.15/2.97 % (2192045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.15/2.97 % (2192045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/2.97 % (2192045)CaDiCaL version: 2.1.3
% 18.15/2.97 % (2192045)Termination reason: Instruction limit
% 18.15/2.97 % (2192045)Termination phase: Saturation
% 18.15/2.97 % (2192045)Time elapsed: 0.065 s
% 18.15/2.97 % (2192045)Peak memory usage: 12 MB
% 18.15/2.97 % (2192045)Instructions burned: 104 (million)
% 18.15/2.97 % (2192046)Instruction limit reached!
% 18.15/2.97 % (2192046)------------------------------
% 18.15/2.97 % (2192046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.15/2.97 % (2192046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/2.97 % (2192046)CaDiCaL version: 2.1.3
% 18.15/2.97 % (2192046)Termination reason: Instruction limit
% 18.15/2.97 % (2192046)Termination phase: Saturation
% 18.15/2.97 % (2192046)Time elapsed: 0.071 s
% 18.15/2.97 % (2192046)Peak memory usage: 12 MB
% 18.15/2.97 % (2192046)Instructions burned: 123 (million)
% 18.15/2.97 % (2192047)Instruction limit reached!
% 18.15/2.97 % (2192047)------------------------------
% 18.15/2.97 % (2192047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.15/2.97 % (2192047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/2.97 % (2192047)CaDiCaL version: 2.1.3
% 18.15/2.97 % (2192047)Termination reason: Instruction limit
% 18.15/2.97 % (2192047)Termination phase: Saturation
% 18.15/2.97 % (2192047)Time elapsed: 0.082 s
% 18.15/2.97 % (2192047)Peak memory usage: 12 MB
% 18.15/2.97 % (2192047)Instructions burned: 133 (million)
% 18.15/2.97 % (2192056)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=831804944:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 18.15/2.97 % TRYING [1]
% 18.15/2.97 % TRYING [2]
% 18.15/2.97 % TRYING [3]
% 18.15/2.97 % (2192057)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2572425246:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.15/2.97 % TRYING [4]
% 18.15/2.97 % (2192059)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=717675879:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.15/2.97 % TRYING [5]
% 18.15/2.97 % TRYING [7]
% 18.15/2.97 % (2192057)Instruction limit reached!
% 18.15/2.97 % (2192057)------------------------------
% 18.15/2.97 % (2192057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.15/2.97 % (2192057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/2.97 % (2192057)CaDiCaL version: 2.1.3
% 18.15/2.97 % (2192057)Termination reason: Instruction limit
% 18.15/2.97 % (2192057)Termination phase: Saturation
% 18.15/2.97 % (2192057)Time elapsed: 0.091 s
% 18.15/2.97 % (2192057)Peak memory usage: 12 MB
% 18.15/2.97 % (2192057)Instructions burned: 132 (million)
% 18.15/2.97 % TRYING [6]
% 18.15/2.97 % (2192062)ott-21_1_sil=16000:fs=off:random_seed=872377512:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 18.15/2.97 % (2192048)Instruction limit reached!
% 18.15/2.97 % (2192048)------------------------------
% 18.15/2.97 % (2192048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192048)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192048)Termination reason: Instruction limit
% 24.64/3.77 % (2192048)Termination phase: Saturation
% 24.64/3.77 % (2192048)Time elapsed: 0.190 s
% 24.64/3.77 % (2192048)Peak memory usage: 14 MB
% 24.64/3.77 % (2192048)Instructions burned: 159 (million)
% 24.64/3.77 % (2192064)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2750433071:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 24.64/3.77 % (2192062)Instruction limit reached!
% 24.64/3.77 % (2192062)------------------------------
% 24.64/3.77 % (2192062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192062)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192062)Termination reason: Instruction limit
% 24.64/3.77 % (2192062)Termination phase: Saturation
% 24.64/3.77 % (2192062)Time elapsed: 0.079 s
% 24.64/3.77 % (2192062)Peak memory usage: 11 MB
% 24.64/3.77 % (2192062)Instructions burned: 180 (million)
% 24.64/3.77 % (2192080)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=78170522:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 24.64/3.77 % TRYING [1]
% 24.64/3.77 % TRYING [2]
% 24.64/3.77 % TRYING [3]
% 24.64/3.77 % TRYING [4]
% 24.64/3.77 % TRYING [5]
% 24.64/3.77 % TRYING [6]
% 24.64/3.77 % TRYING [8]
% 24.64/3.77 % TRYING [7]
% 24.64/3.77 % (2192056)Instruction limit reached!
% 24.64/3.77 % (2192056)------------------------------
% 24.64/3.77 % (2192056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192056)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192056)Termination reason: Instruction limit
% 24.64/3.77 % (2192056)Termination phase: Finite model building constraint generation
% 24.64/3.77 % (2192056)Time elapsed: 0.365 s
% 24.64/3.77 % (2192056)Peak memory usage: 21 MB
% 24.64/3.77 % (2192056)Instructions burned: 717 (million)
% 24.64/3.77 % (2192139)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2638940528:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 24.64/3.77 % (2192059)Instruction limit reached!
% 24.64/3.77 % (2192059)------------------------------
% 24.64/3.77 % (2192059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192059)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192059)Termination reason: Instruction limit
% 24.64/3.77 % (2192059)Termination phase: Saturation
% 24.64/3.77 % (2192059)Time elapsed: 0.369 s
% 24.64/3.77 % (2192059)Peak memory usage: 15 MB
% 24.64/3.77 % (2192059)Instructions burned: 684 (million)
% 24.64/3.77 % (2192148)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1235258955:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 24.64/3.77 % TRYING [7]
% 24.64/3.77 % TRYING [14]
% 24.64/3.77 % (2192064)Instruction limit reached!
% 24.64/3.77 % (2192064)------------------------------
% 24.64/3.77 % (2192064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192064)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192064)Termination reason: Instruction limit
% 24.64/3.77 % (2192064)Termination phase: Saturation
% 24.64/3.77 % (2192064)Time elapsed: 0.327 s
% 24.64/3.77 % (2192064)Peak memory usage: 13 MB
% 24.64/3.77 % (2192064)Instructions burned: 479 (million)
% 24.64/3.77 % (2192164)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1642530730:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 24.64/3.77 % (2192080)Instruction limit reached!
% 24.64/3.77 % (2192080)------------------------------
% 24.64/3.77 % (2192080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192080)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192080)Termination reason: Instruction limit
% 24.64/3.77 % (2192080)Termination phase: Finite model building SAT solving
% 24.64/3.77 % (2192080)Time elapsed: 0.375 s
% 24.64/3.77 % (2192080)Peak memory usage: 22 MB
% 24.64/3.77 % (2192080)Instructions burned: 867 (million)
% 24.64/3.77 % (2192190)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3834177808:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 24.64/3.77 % (2192148)Instruction limit reached!
% 24.64/3.77 % (2192148)------------------------------
% 24.64/3.77 % (2192148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192148)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192148)Termination reason: Instruction limit
% 24.64/3.77 % (2192148)Termination phase: Finite model building constraint generation
% 24.64/3.77 % (2192148)Time elapsed: 0.319 s
% 24.64/3.77 % (2192148)Peak memory usage: 76 MB
% 24.64/3.77 % (2192148)Instructions burned: 889 (million)
% 24.64/3.77 % (2192206)fmb+10_1_sil=64000:random_seed=2382462198:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 24.64/3.77 % TRYING [1]
% 24.64/3.77 % TRYING [2]
% 24.64/3.77 % TRYING [3]
% 24.64/3.77 % TRYING [4]
% 24.64/3.77 % TRYING [5]
% 24.64/3.77 % TRYING [9]
% 24.64/3.77 % TRYING [6]
% 24.64/3.77 % TRYING [7]
% 24.64/3.77 % (2192164)Instruction limit reached!
% 24.64/3.77 % (2192164)------------------------------
% 24.64/3.77 % (2192164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192164)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192164)Termination reason: Instruction limit
% 24.64/3.77 % (2192164)Termination phase: Saturation
% 24.64/3.77 % (2192164)Time elapsed: 0.600 s
% 24.64/3.77 % (2192164)Peak memory usage: 15 MB
% 24.64/3.77 % (2192164)Instructions burned: 693 (million)
% 24.64/3.77 % (2192139)Instruction limit reached!
% 24.64/3.77 % (2192139)------------------------------
% 24.64/3.77 % (2192139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192139)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192139)Termination reason: Instruction limit
% 24.64/3.77 % (2192139)Termination phase: Saturation
% 24.64/3.77 % (2192139)Time elapsed: 0.724 s
% 24.64/3.77 % (2192139)Peak memory usage: 19 MB
% 24.64/3.77 % (2192139)Instructions burned: 1179 (million)
% 24.64/3.77 % (2192208)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4196003323:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 24.64/3.77 % TRYING [20]
% 24.64/3.77 % (2192190)Instruction limit reached!
% 24.64/3.77 % (2192190)------------------------------
% 24.64/3.77 % (2192190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192190)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192190)Termination reason: Instruction limit
% 24.64/3.77 % (2192190)Termination phase: Saturation
% 24.64/3.77 % (2192190)Time elapsed: 0.512 s
% 24.64/3.77 % (2192190)Peak memory usage: 16 MB
% 24.64/3.77 % (2192190)Instructions burned: 880 (million)
% 24.64/3.77 % (2192209)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3472646241:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 24.64/3.77 % TRYING [8]
% 24.64/3.77 % (2192211)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3967930264:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 24.64/3.77 % TRYING [8]
% 24.64/3.77 % TRYING [10]
% 24.64/3.77 % (2192209)Instruction limit reached!
% 24.64/3.77 % (2192209)------------------------------
% 24.64/3.77 % (2192209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192209)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192209)Termination reason: Instruction limit
% 24.64/3.77 % (2192209)Termination phase: Finite model building SAT solving
% 24.64/3.77 % (2192209)Time elapsed: 0.621 s
% 24.64/3.77 % (2192209)Peak memory usage: 46 MB
% 24.64/3.77 % (2192209)Instructions burned: 920 (million)
% 24.64/3.77 % (2192230)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2495039714:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 24.64/3.77 % TRYING [9]
% 24.64/3.77 % (2192230)Instruction limit reached!
% 24.64/3.77 % (2192230)------------------------------
% 24.64/3.77 % (2192230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192230)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192230)Termination reason: Instruction limit
% 24.64/3.77 % (2192230)Termination phase: Saturation
% 24.64/3.77 % (2192230)Time elapsed: 0.798 s
% 24.64/3.77 % (2192230)Peak memory usage: 26 MB
% 24.64/3.77 % (2192230)Instructions burned: 1472 (million)
% 24.64/3.77 % (2192308)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2092392603:i=6324_2972 on theBenchmark for (2972ds/6324Mi)
% 24.64/3.77 % TRYING [77]
% 24.64/3.77 % TRYING [11]
% 24.64/3.77 % TRYING [10]
% 24.64/3.77 % (2192043) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2192037-2192043"...
% 24.64/3.77 % (2192043)...printing done.
% 24.64/3.77 % (2192043)Refutation found. Thanks to Tanya!
% 24.64/3.77 % SZS status Unsatisfiable for theBenchmark
% 24.64/3.77 % SZS output start Proof for theBenchmark
% See solution above
% 24.64/3.77 % (2192043)------------------------------
% 24.64/3.77 % (2192043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.64/3.77 % (2192043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.64/3.77 % (2192043)CaDiCaL version: 2.1.3
% 24.64/3.77 % (2192043)Termination reason: Refutation
% 24.64/3.77 % (2192043)Time elapsed: 3.435 s
% 24.64/3.77 % (2192043)Peak memory usage: 46 MB
% 24.64/3.77 % (2192043)Instructions burned: 5133 (million)
% 24.64/3.77 % (2192037)Success in time 3.547 s
% 24.64/3.77 % Vampire exiting
%------------------------------------------------------------------------------