%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU195+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:47:40 PM UTC 2026
% Result : Theorem 28.42s 4.84s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 113 ( 23 unt; 3 def)
% Number of atoms : 339 ( 29 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 404 ( 178 ~; 198 |; 8 &)
% ( 11 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 225 ( 221 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation(X2)
=> ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
fof(f10,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : X1 != ordered_pair(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_1) ).
fof(f21,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f29,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f53,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f55,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f58,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f168,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f172,axiom,
! [X0,X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))
<=> ( in(X0,X2)
& in(ordered_pair(X0,X1),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_relat_1) ).
fof(f177,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom_restriction(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_relat_1) ).
fof(f183,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_relat_1) ).
fof(f184,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
inference(negated_conjecture,[status(cth)],[f183]) ).
fof(f203,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f204,plain,
! [X0] :
( relation(X0)
<=> ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X2,X3) = X1 ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f209,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f221,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f222,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f221]) ).
fof(f227,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f326,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))
<=> ( in(X0,X2)
& in(ordered_pair(X0,X1),X3) ) )
| ~ relation(X3) ),
inference(ennf_transformation,[],[f172]) ).
fof(f329,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f336,plain,
? [X0,X1] :
( relation_dom_restriction(X1,X0) != relation_composition(identity_relation(X0),X1)
& relation(X1) ),
inference(ennf_transformation,[],[f184]) ).
fof(f354,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8]) ).
fof(f359,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f203]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1)
| in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f203]) ).
fof(f361,plain,
! [X0,X1] :
( ordered_pair(sK5(X1),sK6(X1)) = X1
| ~ in(X1,X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f414,plain,
! [X0,X1] :
( in(sK24(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f415,plain,
! [X0,X1] :
( ~ in(sK24(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f444,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f467,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f469,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f55]) ).
fof(f472,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f623,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f168]) ).
fof(f628,plain,
! [X2,X3,X0,X1] :
( ~ relation(X3)
| in(ordered_pair(X0,X1),X3)
| ~ in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) ),
inference(cnf_transformation,[],[f326]) ).
fof(f629,plain,
! [X2,X3,X0,X1] :
( ~ relation(X3)
| in(X0,X2)
| ~ in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) ),
inference(cnf_transformation,[],[f326]) ).
fof(f630,plain,
! [X2,X3,X0,X1] :
( ~ relation(X3)
| ~ in(ordered_pair(X0,X1),X3)
| ~ in(X0,X2)
| in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) ),
inference(cnf_transformation,[],[f326]) ).
fof(f638,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f329]) ).
fof(f644,plain,
relation(sK58),
inference(cnf_transformation,[],[f336]) ).
fof(f645,plain,
relation_dom_restriction(sK58,sK57) != relation_composition(identity_relation(sK57),sK58),
inference(cnf_transformation,[],[f336]) ).
fof(f652,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f444,f623]) ).
fof(f660,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X0)
| ~ in(X3,X1)
| in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f360,f652,f652]) ).
fof(f661,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f359,f652]) ).
fof(f667,plain,
! [X0,X1] :
( unordered_pair(unordered_pair(sK5(X1),sK6(X1)),unordered_pair(sK5(X1),sK5(X1))) = X1
| ~ in(X1,X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f361,f652]) ).
fof(f753,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(identity_relation(X2),X3))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X3)
| ~ in(X0,X2)
| ~ relation(X3) ),
inference(definition_unfolding,[],[f630,f652,f652]) ).
fof(f754,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(identity_relation(X2),X3))
| in(X0,X2)
| ~ relation(X3) ),
inference(definition_unfolding,[],[f629,f652]) ).
fof(f755,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(identity_relation(X2),X3))
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X3)
| ~ relation(X3) ),
inference(definition_unfolding,[],[f628,f652,f652]) ).
fof(f765,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X0)
| ~ in(X3,X1)
| in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f660]) ).
fof(f766,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f661]) ).
fof(f820,definition,
sF61 = relation_dom_restriction(sK58,sK57),
introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).
fof(f821,plain,
relation_dom_restriction(sK58,sK57) = sF61,
inference(reorient_equations,[],[f820]) ).
fof(f822,definition,
sF62 = identity_relation(sK57),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f823,plain,
identity_relation(sK57) = sF62,
inference(reorient_equations,[],[f822]) ).
fof(f824,definition,
sF63 = relation_composition(sF62,sK58),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f825,plain,
relation_composition(sF62,sK58) = sF63,
inference(reorient_equations,[],[f824]) ).
fof(f826,plain,
sF61 != sF63,
inference(definition_folding,[],[f645,f825,f823,f821]) ).
fof(f838,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_dom_restriction(X0,X1))
| in(X3,X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f766,f472]) ).
fof(f839,plain,
! [X3,X0,X1,X4] :
( in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X0)
| ~ in(X3,X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f765,f472]) ).
fof(f846,plain,
( relation(sF63)
| ~ relation(sF62)
| ~ relation(sK58) ),
inference(superposition,[],[f467,f825]) ).
fof(f847,plain,
( relation(sF63)
| ~ relation(sF62) ),
inference(forward_subsumption_resolution,[],[f846,f644]) ).
fof(f848,plain,
relation(sF62),
inference(superposition,[],[f469,f823]) ).
fof(f849,plain,
relation(sF63),
inference(backward_subsumption_resolution,[],[f847,f848]) ).
fof(f851,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF61)
| in(X0,sK57)
| ~ relation(sK58) ),
inference(superposition,[],[f838,f821]) ).
fof(f852,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF61)
| in(X0,sK57) ),
inference(forward_subsumption_resolution,[],[f851,f644]) ).
fof(f853,plain,
( subset(sF61,sK58)
| ~ relation(sK58) ),
inference(superposition,[],[f638,f821]) ).
fof(f854,plain,
subset(sF61,sK58),
inference(forward_subsumption_resolution,[],[f853,f644]) ).
fof(f855,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(sF62,X2))
| in(X0,sK57)
| ~ relation(X2) ),
inference(superposition,[],[f754,f823]) ).
fof(f866,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(sF62,X2))
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(superposition,[],[f755,f823]) ).
fof(f895,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF61)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK58)
| ~ in(X0,sK57)
| ~ relation(sK58) ),
inference(superposition,[],[f839,f821]) ).
fof(f898,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK58)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF61)
| ~ in(X0,sK57) ),
inference(forward_subsumption_resolution,[],[f895,f644]) ).
fof(f905,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(sF62,X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ in(X0,sK57)
| ~ relation(X2) ),
inference(superposition,[],[f753,f823]) ).
fof(f931,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF63)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK58)
| ~ relation(sK58) ),
inference(superposition,[],[f866,f825]) ).
fof(f933,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF63)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK58) ),
inference(forward_subsumption_resolution,[],[f931,f644]) ).
fof(f942,plain,
! [X0] :
( ~ in(X0,sF61)
| in(X0,sK58) ),
inference(resolution,[],[f413,f854]) ).
fof(f946,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF63)
| in(X0,sK57)
| ~ relation(sK58) ),
inference(superposition,[],[f855,f825]) ).
fof(f948,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF63)
| in(X0,sK57) ),
inference(forward_subsumption_resolution,[],[f946,f644]) ).
fof(f957,plain,
! [X0] :
( in(sK24(sF61,X0),sK58)
| subset(sF61,X0) ),
inference(resolution,[],[f942,f414]) ).
fof(f964,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF63)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK58)
| ~ in(X0,sK57)
| ~ relation(sK58) ),
inference(superposition,[],[f905,f825]) ).
fof(f967,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK58)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF63)
| ~ in(X0,sK57) ),
inference(forward_subsumption_resolution,[],[f964,f644]) ).
fof(f988,plain,
! [X0,X1] :
( in(sK5(X0),sK57)
| ~ in(X0,sF61)
| ~ in(X0,X1)
| ~ relation(X1) ),
inference(superposition,[],[f852,f667]) ).
fof(f992,plain,
! [X0,X1] :
( ~ in(sK5(X0),sK57)
| in(X0,sF61)
| ~ in(X0,sK58)
| ~ in(X0,X1)
| ~ relation(X1) ),
inference(superposition,[],[f898,f667]) ).
fof(f995,plain,
! [X0,X1] :
( ~ in(X0,sF63)
| in(X0,sK58)
| ~ in(X0,X1)
| ~ relation(X1) ),
inference(superposition,[],[f933,f667]) ).
fof(f996,plain,
! [X0,X1] :
( in(sK5(X0),sK57)
| ~ in(X0,sF63)
| ~ in(X0,X1)
| ~ relation(X1) ),
inference(superposition,[],[f948,f667]) ).
fof(f997,plain,
! [X0,X1] :
( ~ in(sK5(X0),sK57)
| in(X0,sF63)
| ~ in(X0,sK58)
| ~ in(X0,X1)
| ~ relation(X1) ),
inference(superposition,[],[f967,f667]) ).
fof(f1018,plain,
! [X0,X1] :
( ~ in(sK24(sF63,X0),X1)
| in(sK24(sF63,X0),sK58)
| ~ relation(X1)
| subset(sF63,X0) ),
inference(resolution,[],[f995,f414]) ).
fof(f1070,plain,
! [X0] :
( in(sK24(sF63,X0),sK58)
| ~ relation(sF63)
| subset(sF63,X0)
| subset(sF63,X0) ),
inference(resolution,[],[f1018,f414]) ).
fof(f1073,plain,
! [X0] :
( in(sK24(sF63,X0),sK58)
| ~ relation(sF63)
| subset(sF63,X0) ),
inference(duplicate_literal_removal,[],[f1070]) ).
fof(f1074,plain,
! [X0] :
( in(sK24(sF63,X0),sK58)
| subset(sF63,X0) ),
inference(forward_subsumption_resolution,[],[f1073,f849]) ).
fof(f1088,plain,
! [X2,X0,X1] :
( in(X0,sF63)
| ~ in(X0,sK58)
| ~ in(X0,X1)
| ~ relation(X1)
| ~ in(X0,sF61)
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(resolution,[],[f997,f988]) ).
fof(f1089,plain,
! [X2,X0,X1] :
( ~ in(X0,sF61)
| ~ in(X0,X1)
| ~ relation(X1)
| in(X0,sF63)
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(forward_subsumption_resolution,[],[f1088,f942]) ).
fof(f1331,plain,
! [X2,X0,X1] :
( ~ in(X0,sF63)
| ~ in(X0,X1)
| ~ relation(X1)
| in(X0,sF61)
| ~ in(X0,sK58)
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(resolution,[],[f996,f992]) ).
fof(f1332,plain,
! [X2,X0,X1] :
( ~ in(X0,sF63)
| ~ in(X0,X1)
| ~ relation(X1)
| in(X0,sF61)
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(forward_subsumption_resolution,[],[f1331,f995]) ).
fof(f1335,plain,
! [X2,X0,X1] :
( ~ in(sK24(sF63,X0),X2)
| ~ relation(X1)
| in(sK24(sF63,X0),sF61)
| ~ in(sK24(sF63,X0),X1)
| ~ relation(X2)
| subset(sF63,X0) ),
inference(resolution,[],[f1332,f414]) ).
fof(f1340,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK24(sF63,X1),sF61)
| ~ in(sK24(sF63,X1),X0)
| ~ relation(sK58)
| subset(sF63,X1)
| subset(sF63,X1) ),
inference(resolution,[],[f1335,f1074]) ).
fof(f1343,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK24(sF63,X1),sF61)
| ~ in(sK24(sF63,X1),X0)
| ~ relation(sK58)
| subset(sF63,X1) ),
inference(duplicate_literal_removal,[],[f1340]) ).
fof(f1345,plain,
! [X0,X1] :
( ~ in(sK24(sF63,X1),X0)
| in(sK24(sF63,X1),sF61)
| ~ relation(X0)
| subset(sF63,X1) ),
inference(forward_subsumption_resolution,[],[f1343,f644]) ).
fof(f1348,plain,
! [X0] :
( in(sK24(sF63,X0),sF61)
| ~ relation(sK58)
| subset(sF63,X0)
| subset(sF63,X0) ),
inference(resolution,[],[f1345,f1074]) ).
fof(f1351,plain,
! [X0] :
( in(sK24(sF63,X0),sF61)
| ~ relation(sK58)
| subset(sF63,X0) ),
inference(duplicate_literal_removal,[],[f1348]) ).
fof(f1353,plain,
! [X0] :
( in(sK24(sF63,X0),sF61)
| subset(sF63,X0) ),
inference(forward_subsumption_resolution,[],[f1351,f644]) ).
fof(f1358,plain,
( subset(sF63,sF61)
| subset(sF63,sF61) ),
inference(resolution,[],[f1353,f415]) ).
fof(f1360,plain,
subset(sF63,sF61),
inference(duplicate_literal_removal,[],[f1358]) ).
fof(f1365,plain,
( ~ subset(sF61,sF63)
| sF61 = sF63 ),
inference(resolution,[],[f1360,f354]) ).
fof(f1366,plain,
~ subset(sF61,sF63),
inference(forward_subsumption_resolution,[],[f1365,f826]) ).
fof(f2365,plain,
! [X2,X0,X1] :
( ~ in(sK24(sF61,X0),X2)
| ~ relation(X1)
| in(sK24(sF61,X0),sF63)
| ~ in(sK24(sF61,X0),X1)
| ~ relation(X2)
| subset(sF61,X0) ),
inference(resolution,[],[f1089,f414]) ).
fof(f2370,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK24(sF61,X1),sF63)
| ~ in(sK24(sF61,X1),X0)
| ~ relation(sK58)
| subset(sF61,X1)
| subset(sF61,X1) ),
inference(resolution,[],[f2365,f957]) ).
fof(f2374,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK24(sF61,X1),sF63)
| ~ in(sK24(sF61,X1),X0)
| ~ relation(sK58)
| subset(sF61,X1) ),
inference(duplicate_literal_removal,[],[f2370]) ).
fof(f2376,plain,
! [X0,X1] :
( ~ in(sK24(sF61,X1),X0)
| in(sK24(sF61,X1),sF63)
| ~ relation(X0)
| subset(sF61,X1) ),
inference(forward_subsumption_resolution,[],[f2374,f644]) ).
fof(f2379,plain,
! [X0] :
( in(sK24(sF61,X0),sF63)
| ~ relation(sK58)
| subset(sF61,X0)
| subset(sF61,X0) ),
inference(resolution,[],[f2376,f957]) ).
fof(f2383,plain,
! [X0] :
( in(sK24(sF61,X0),sF63)
| ~ relation(sK58)
| subset(sF61,X0) ),
inference(duplicate_literal_removal,[],[f2379]) ).
fof(f2385,plain,
! [X0] :
( in(sK24(sF61,X0),sF63)
| subset(sF61,X0) ),
inference(forward_subsumption_resolution,[],[f2383,f644]) ).
fof(f2389,plain,
( subset(sF61,sF63)
| subset(sF61,sF63) ),
inference(resolution,[],[f2385,f415]) ).
fof(f2393,plain,
subset(sF61,sF63),
inference(duplicate_literal_removal,[],[f2389]) ).
fof(f2396,plain,
$false,
inference(forward_subsumption_resolution,[],[f2393,f1366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU195+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 04:01:11 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.92/3.04 % (1175058)Detected formulas, will run a generic FOF schedule.
% 13.92/3.04 % (1175065)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1866937309:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.92/3.04 % (1175069)dis-21_1_sil=8000:lcm=predicate:random_seed=589026958:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.92/3.04 % (1175066)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2338174637:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.92/3.04 % (1175067)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=787271335:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.92/3.04 % (1175063)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2126543639:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.92/3.04 % (1175064)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2904539123:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.92/3.04 % (1175068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3299137619:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.92/3.04 % (1175066)Instruction limit reached!
% 13.92/3.04 % (1175066)------------------------------
% 13.92/3.04 % (1175066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.92/3.04 % (1175066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/3.04 % (1175066)CaDiCaL version: 2.1.3
% 13.92/3.04 % (1175066)Termination reason: Instruction limit
% 13.92/3.04 % (1175066)Termination phase: Saturation
% 13.92/3.04 % (1175066)Time elapsed: 0.072 s
% 13.92/3.04 % (1175066)Peak memory usage: 90 MB
% 13.92/3.04 % (1175066)Instructions burned: 110 (million)
% 13.92/3.04 % (1175069)Instruction limit reached!
% 13.92/3.04 % (1175069)------------------------------
% 13.92/3.04 % (1175069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.92/3.04 % (1175069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/3.04 % (1175069)CaDiCaL version: 2.1.3
% 13.92/3.04 % (1175069)Termination reason: Instruction limit
% 13.92/3.04 % (1175069)Termination phase: Saturation
% 13.92/3.04 % (1175069)Time elapsed: 0.080 s
% 13.92/3.04 % (1175069)Peak memory usage: 90 MB
% 13.92/3.04 % (1175069)Instructions burned: 130 (million)
% 13.92/3.04 % (1175067)Instruction limit reached!
% 13.92/3.04 % (1175067)------------------------------
% 13.92/3.04 % (1175067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.92/3.04 % (1175067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/3.04 % (1175067)CaDiCaL version: 2.1.3
% 13.92/3.04 % (1175067)Termination reason: Instruction limit
% 13.92/3.04 % (1175067)Termination phase: Saturation
% 13.92/3.04 % (1175067)Time elapsed: 0.080 s
% 13.92/3.04 % (1175067)Peak memory usage: 89 MB
% 13.92/3.04 % (1175067)Instructions burned: 120 (million)
% 13.92/3.04 % (1175068)Instruction limit reached!
% 13.92/3.04 % (1175068)------------------------------
% 13.92/3.04 % (1175068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.92/3.04 % (1175068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/3.04 % (1175068)CaDiCaL version: 2.1.3
% 13.92/3.04 % (1175068)Termination reason: Instruction limit
% 13.92/3.04 % (1175068)Termination phase: Saturation
% 13.92/3.04 % (1175068)Time elapsed: 0.098 s
% 13.92/3.04 % (1175068)Peak memory usage: 90 MB
% 13.92/3.04 % (1175068)Instructions burned: 140 (million)
% 13.92/3.04 % (1175079)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1425236017:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.92/3.04 % (1175078)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1285736364:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.92/3.04 % (1175077)lrs+10_1_sil=8000:sp=occurrence:random_seed=184325147:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.92/3.04 % (1175080)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=975311142:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.92/3.04 % (1175078)Instruction limit reached!
% 21.37/3.98 % (1175078)------------------------------
% 21.37/3.98 % (1175078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.37/3.98 % (1175078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.37/3.98 % (1175078)CaDiCaL version: 2.1.3
% 21.37/3.98 % (1175078)Termination reason: Instruction limit
% 21.37/3.98 % (1175078)Termination phase: Saturation
% 21.37/3.98 % (1175078)Time elapsed: 0.082 s
% 21.37/3.98 % (1175078)Peak memory usage: 91 MB
% 21.37/3.98 % (1175078)Instructions burned: 157 (million)
% 21.37/3.98 % (1175077)Instruction limit reached!
% 21.37/3.98 % (1175077)------------------------------
% 21.37/3.98 % (1175077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.37/3.98 % (1175077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.37/3.98 % (1175077)CaDiCaL version: 2.1.3
% 21.37/3.98 % (1175077)Termination reason: Instruction limit
% 21.37/3.98 % (1175077)Termination phase: Saturation
% 21.37/3.98 % (1175077)Time elapsed: 0.184 s
% 21.37/3.98 % (1175077)Peak memory usage: 92 MB
% 21.37/3.98 % (1175077)Instructions burned: 286 (million)
% 21.37/3.98 % (1175080)Instruction limit reached!
% 21.37/3.99 % (1175080)------------------------------
% 21.37/3.99 % (1175080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.37/3.99 % (1175080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.37/3.99 % (1175080)CaDiCaL version: 2.1.3
% 21.37/3.99 % (1175080)Termination reason: Instruction limit
% 21.37/3.99 % (1175080)Termination phase: Saturation
% 21.37/3.99 % (1175080)Time elapsed: 0.142 s
% 21.37/3.99 % (1175080)Peak memory usage: 94 MB
% 21.37/3.99 % (1175080)Instructions burned: 248 (million)
% 21.37/3.99 % (1175079)Instruction limit reached!
% 21.37/3.99 % (1175079)------------------------------
% 21.37/3.99 % (1175079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.37/3.99 % (1175079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.37/3.99 % (1175079)CaDiCaL version: 2.1.3
% 21.37/3.99 % (1175079)Termination reason: Instruction limit
% 21.37/3.99 % (1175079)Termination phase: Saturation
% 21.37/3.99 % (1175079)Time elapsed: 0.222 s
% 21.37/3.99 % (1175079)Peak memory usage: 93 MB
% 21.37/3.99 % (1175079)Instructions burned: 326 (million)
% 21.37/3.99 % (1175085)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3568548634:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 21.37/3.99 % (1175086)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3575492399:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 21.37/3.99 % (1175087)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1272766172:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 21.37/3.99 % (1175088)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2013553564:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 21.37/3.99 % (1175085)Instruction limit reached!
% 21.37/3.99 % (1175085)------------------------------
% 21.37/3.99 % (1175085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.37/3.99 % (1175085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.37/3.99 % (1175085)CaDiCaL version: 2.1.3
% 21.37/3.99 % (1175085)Termination reason: Instruction limit
% 21.37/3.99 % (1175085)Termination phase: Saturation
% 21.37/3.99 % (1175085)Time elapsed: 0.183 s
% 21.37/3.99 % (1175085)Peak memory usage: 90 MB
% 21.37/3.99 % (1175085)Instructions burned: 294 (million)
% 21.37/3.99 % (1175088)Instruction limit reached!
% 21.37/3.99 % (1175088)------------------------------
% 21.37/3.99 % (1175088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.37/3.99 % (1175088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.37/3.99 % (1175088)CaDiCaL version: 2.1.3
% 21.37/3.99 % (1175088)Termination reason: Instruction limit
% 21.37/3.99 % (1175088)Termination phase: Saturation
% 21.37/3.99 % (1175088)Time elapsed: 0.064 s
% 21.37/3.99 % (1175088)Peak memory usage: 89 MB
% 21.37/3.99 % (1175088)Instructions burned: 129 (million)
% 21.37/3.99 % (1175087)Instruction limit reached!
% 21.37/3.99 % (1175087)------------------------------
% 21.37/3.99 % (1175087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.37/3.99 % (1175087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.37/3.99 % (1175087)CaDiCaL version: 2.1.3
% 21.37/3.99 % (1175087)Termination reason: Instruction limit
% 21.37/3.99 % (1175087)Termination phase: Saturation
% 28.42/4.84 % (1175087)Time elapsed: 0.066 s
% 28.42/4.84 % (1175087)Peak memory usage: 89 MB
% 28.42/4.84 % (1175087)Instructions burned: 113 (million)
% 28.42/4.84 % (1175093)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=573469183:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 28.42/4.84 % (1175094)lrs+10_1_sil=8000:sp=occurrence:random_seed=2140260386:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 28.42/4.84 % (1175095)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=260556167:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 28.42/4.84 % (1175093)Instruction limit reached!
% 28.42/4.84 % (1175093)------------------------------
% 28.42/4.84 % (1175093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175093)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175093)Termination reason: Instruction limit
% 28.42/4.84 % (1175093)Termination phase: Saturation
% 28.42/4.84 % (1175093)Time elapsed: 0.067 s
% 28.42/4.84 % (1175093)Peak memory usage: 89 MB
% 28.42/4.84 % (1175093)Instructions burned: 116 (million)
% 28.42/4.84 % (1175099)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1870077448:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 28.42/4.84 % (1175095)Instruction limit reached!
% 28.42/4.84 % (1175095)------------------------------
% 28.42/4.84 % (1175095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175095)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175095)Termination reason: Instruction limit
% 28.42/4.84 % (1175095)Termination phase: Saturation
% 28.42/4.84 % (1175095)Time elapsed: 0.282 s
% 28.42/4.84 % (1175095)Peak memory usage: 93 MB
% 28.42/4.84 % (1175095)Instructions burned: 438 (million)
% 28.42/4.84 % (1175101)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=249822012:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 28.42/4.84 % (1175101)Instruction limit reached!
% 28.42/4.84 % (1175101)------------------------------
% 28.42/4.84 % (1175101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175101)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175101)Termination reason: Instruction limit
% 28.42/4.84 % (1175101)Termination phase: Saturation
% 28.42/4.84 % (1175101)Time elapsed: 0.079 s
% 28.42/4.84 % (1175101)Peak memory usage: 92 MB
% 28.42/4.84 % (1175101)Instructions burned: 135 (million)
% 28.42/4.84 % (1175094)Instruction limit reached!
% 28.42/4.84 % (1175094)------------------------------
% 28.42/4.84 % (1175094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175094)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175094)Termination reason: Instruction limit
% 28.42/4.84 % (1175094)Termination phase: Saturation
% 28.42/4.84 % (1175094)Time elapsed: 0.570 s
% 28.42/4.84 % (1175094)Peak memory usage: 99 MB
% 28.42/4.84 % (1175094)Instructions burned: 908 (million)
% 28.42/4.84 % (1175103)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1263231832:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 28.42/4.84 % (1175104)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3004076263:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 28.42/4.84 % (1175103)Instruction limit reached!
% 28.42/4.84 % (1175103)------------------------------
% 28.42/4.84 % (1175103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175103)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175103)Termination reason: Instruction limit
% 28.42/4.84 % (1175103)Termination phase: Saturation
% 28.42/4.84 % (1175103)Time elapsed: 0.372 s
% 28.42/4.84 % (1175103)Peak memory usage: 97 MB
% 28.42/4.84 % (1175103)Instructions burned: 593 (million)
% 28.42/4.84 % (1175086)Instruction limit reached!
% 28.42/4.84 % (1175086)------------------------------
% 28.42/4.84 % (1175086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175086)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175086)Termination reason: Instruction limit
% 28.42/4.84 % (1175086)Termination phase: Saturation
% 28.42/4.84 % (1175086)Time elapsed: 1.471 s
% 28.42/4.84 % (1175086)Peak memory usage: 141 MB
% 28.42/4.84 % (1175086)Instructions burned: 2350 (million)
% 28.42/4.84 % (1175107)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3647250556:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 28.42/4.84 % (1175107)Instruction limit reached!
% 28.42/4.84 % (1175107)------------------------------
% 28.42/4.84 % (1175107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175107)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175107)Termination reason: Instruction limit
% 28.42/4.84 % (1175107)Termination phase: Saturation
% 28.42/4.84 % (1175107)Time elapsed: 0.080 s
% 28.42/4.84 % (1175107)Peak memory usage: 91 MB
% 28.42/4.84 % (1175107)Instructions burned: 127 (million)
% 28.42/4.84 % (1175108)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1622693815:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 28.42/4.84 % (1175108)Instruction limit reached!
% 28.42/4.84 % (1175108)------------------------------
% 28.42/4.84 % (1175108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175108)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175108)Termination reason: Instruction limit
% 28.42/4.84 % (1175108)Termination phase: Saturation
% 28.42/4.84 % (1175108)Time elapsed: 0.081 s
% 28.42/4.84 % (1175108)Peak memory usage: 90 MB
% 28.42/4.84 % (1175108)Instructions burned: 136 (million)
% 28.42/4.84 % (1175110)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3747345016:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 28.42/4.84 % (1175110)Instruction limit reached!
% 28.42/4.84 % (1175110)------------------------------
% 28.42/4.84 % (1175110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175110)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175110)Termination reason: Instruction limit
% 28.42/4.84 % (1175110)Termination phase: Saturation
% 28.42/4.84 % (1175110)Time elapsed: 0.088 s
% 28.42/4.84 % (1175110)Peak memory usage: 91 MB
% 28.42/4.84 % (1175110)Instructions burned: 142 (million)
% 28.42/4.84 % (1175112)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1306955325:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 28.42/4.84 % (1175114)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1581223116:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 28.42/4.84 % (1175112)Instruction limit reached!
% 28.42/4.84 % (1175112)------------------------------
% 28.42/4.84 % (1175112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175112)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175112)Termination reason: Instruction limit
% 28.42/4.84 % (1175112)Termination phase: Saturation
% 28.42/4.84 % (1175112)Time elapsed: 0.259 s
% 28.42/4.84 % (1175112)Peak memory usage: 93 MB
% 28.42/4.84 % (1175112)Instructions burned: 431 (million)
% 28.42/4.84 % (1175117)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=137574227:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 28.42/4.84 % (1175117)Instruction limit reached!
% 28.42/4.84 % (1175117)------------------------------
% 28.42/4.84 % (1175117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.42/4.84 % (1175117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.42/4.84 % (1175117)CaDiCaL version: 2.1.3
% 28.42/4.84 % (1175117)Termination reason: Instruction limit
% 28.42/4.84 % (1175117)Termination phase: Saturation
% 28.42/4.84 % (1175117)Time elapsed: 0.086 s
% 28.42/4.84 % (1175117)Peak memory usage: 92 MB
% 28.42/4.84 % (1175117)Instructions burned: 151 (million)
% 28.42/4.84 % (1175119)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3736155501:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 28.42/4.84 % (1175114)First to succeed.
% 28.42/4.84 % (1175114)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1175058"
% 28.42/4.84 % (1175114)Refutation found. Thanks to Tanya!
% 28.42/4.84 % SZS status Theorem for theBenchmark
% 28.42/4.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/5.03 % (1175114)------------------------------
% 0.16/5.03 % (1175114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/5.03 % (1175114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.03 % (1175114)CaDiCaL version: 2.1.3
% 0.16/5.03 % (1175114)Termination reason: Refutation
% 0.16/5.03 % (1175114)Time elapsed: 1.020 s
% 0.16/5.03 % (1175114)Peak memory usage: 135 MB
% 0.16/5.03 % (1175114)Instructions burned: 1545 (million)
% 0.16/5.03 % (1175114)------------------------------
% 0.16/5.03 % (1175114)------------------------------
% 0.16/5.03 % (1175058)Success in time 4 s
% 0.16/5.03 % Vampire exiting
%------------------------------------------------------------------------------