%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:39:21 AM UTC 2026
% Result : Theorem 17.42s 3.22s
% Output : Refutation 18.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 15
% Syntax : Number of formulae : 110 ( 17 unt; 5 def)
% Number of atoms : 388 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 535 ( 257 ~; 248 |; 18 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 153 ( 0 sgn 144 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( transitive_reflexive_rewrite(b,X0)
& transitive_reflexive_rewrite(c,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',found) ).
fof(f2,axiom,
( transitive_reflexive_rewrite(a,b)
& transitive_reflexive_rewrite(a,c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption) ).
fof(f3,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f5,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> transitive_reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X0,X1)
& transitive_reflexive_rewrite(X1,X2) )
=> transitive_reflexive_rewrite(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( rewrite(X0,X1)
& rewrite(X0,X2) )
=> ? [X3] :
( transitive_reflexive_rewrite(X1,X3)
& transitive_reflexive_rewrite(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lo_cfl) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( rewrite(a,X0)
& transitive_reflexive_rewrite(X0,X1)
& transitive_reflexive_rewrite(X0,X2) )
=> ? [X3] :
( transitive_reflexive_rewrite(X1,X3)
& transitive_reflexive_rewrite(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ih_cfl) ).
fof(f10,axiom,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
=> ( equalish(X0,X1)
| ? [X2] :
( rewrite(X0,X2)
& transitive_reflexive_rewrite(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equalish_or_rewrite) ).
fof(f11,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f12,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
~ goal,
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(c,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(c,X0) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( equalish(X0,X1)
| ? [X2] :
( rewrite(X0,X2)
& transitive_reflexive_rewrite(X2,X1) )
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0,X1] :
( equalish(X0,X1)
| ? [X2] :
( rewrite(X0,X2)
& transitive_reflexive_rewrite(X2,X1) )
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X1,X3)
& transitive_reflexive_rewrite(X2,X3) )
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X1,X3)
& transitive_reflexive_rewrite(X2,X3) )
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X1,X3)
& transitive_reflexive_rewrite(X2,X3) )
| ~ rewrite(X0,X1)
| ~ rewrite(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X1,X3)
& transitive_reflexive_rewrite(X2,X3) )
| ~ rewrite(X0,X1)
| ~ rewrite(X0,X2) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(flattening,[],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f26,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] :
( equalish(X0,X1)
| ( rewrite(X0,sK0(X0,X1))
& transitive_reflexive_rewrite(sK0(X0,X1),X1) )
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f17]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X1,sK1(X1,X2))
& transitive_reflexive_rewrite(X2,sK1(X1,X2)) )
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X1,X2))],[f19]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X1,sK2(X1,X2))
& transitive_reflexive_rewrite(X2,sK2(X1,X2)) )
| ~ rewrite(X0,X1)
| ~ rewrite(X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X1,X2))],[f21]) ).
fof(f30,plain,
~ goal,
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(c,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
transitive_reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
transitive_reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(sK0(X0,X1),X1)
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f35,plain,
! [X0,X1] :
( rewrite(X0,sK0(X0,X1))
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f36,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X2,sK1(X1,X2))
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f37,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X1,sK1(X1,X2))
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f38,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X2,sK2(X1,X2))
| ~ rewrite(X0,X1)
| ~ rewrite(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f39,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X1,sK2(X1,X2))
| ~ rewrite(X0,X1)
| ~ rewrite(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
! [X0] : equalish(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f46,definition,
( spl3_1
<=> ! [X0] :
( ~ transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(c,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f47,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,definition,
( spl3_2
<=> goal ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f52,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f31,f49,f46]) ).
fof(f53,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f30,f49]) ).
fof(f58,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| transitive_reflexive_rewrite(X0,X1) ),
inference(resolution,[],[f42,f43]) ).
fof(f61,plain,
! [X0] : transitive_reflexive_rewrite(X0,X0),
inference(resolution,[],[f44,f42]) ).
fof(f62,plain,
( ~ transitive_reflexive_rewrite(b,c)
| ~ spl3_1 ),
inference(resolution,[],[f61,f47]) ).
fof(f74,plain,
( ! [X0,X1] :
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(b,X1) )
| ~ spl3_1 ),
inference(resolution,[],[f40,f47]) ).
fof(f83,plain,
( ! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(sK1(X0,c),X1)
| ~ transitive_reflexive_rewrite(b,X1)
| ~ rewrite(a,X2)
| ~ transitive_reflexive_rewrite(X2,X0)
| ~ transitive_reflexive_rewrite(X2,c) )
| ~ spl3_1 ),
inference(resolution,[],[f74,f36]) ).
fof(f89,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_1 ),
inference(resolution,[],[f62,f40]) ).
fof(f100,plain,
( ! [X2,X3,X0,X1] :
( ~ transitive_reflexive_rewrite(b,sK1(sK1(X0,c),X1))
| ~ rewrite(a,X2)
| ~ transitive_reflexive_rewrite(X2,X0)
| ~ transitive_reflexive_rewrite(X2,c)
| ~ rewrite(a,X3)
| ~ transitive_reflexive_rewrite(X3,sK1(X0,c))
| ~ transitive_reflexive_rewrite(X3,X1) )
| ~ spl3_1 ),
inference(resolution,[],[f83,f37]) ).
fof(f106,plain,
( ! [X2,X3,X0,X1] :
( ~ transitive_reflexive_rewrite(X3,sK1(X1,c))
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X2)
| ~ transitive_reflexive_rewrite(X2,sK1(X1,c))
| ~ transitive_reflexive_rewrite(X2,b)
| ~ rewrite(a,X3)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X3,b) )
| ~ spl3_1 ),
inference(resolution,[],[f100,f36]) ).
fof(f113,plain,
( ! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(X0,sK1(X1,c))
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ transitive_reflexive_rewrite(X2,c)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,b)
| ~ rewrite(a,X0)
| ~ rewrite(a,X2)
| ~ transitive_reflexive_rewrite(X0,b) )
| ~ spl3_1 ),
inference(factoring,[],[f106]) ).
fof(f114,plain,
( ! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(X0,sK1(X1,c))
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ transitive_reflexive_rewrite(X2,c)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,b)
| ~ rewrite(a,X2) )
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f118,plain,
( ! [X2,X3,X0,X1] :
( ~ transitive_reflexive_rewrite(X3,sK1(X1,c))
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X2)
| ~ transitive_reflexive_rewrite(X2,b)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X2,X3)
| ~ transitive_reflexive_rewrite(X0,X1) )
| ~ spl3_1 ),
inference(resolution,[],[f114,f40]) ).
fof(f121,definition,
( spl3_5
<=> transitive_reflexive_rewrite(c,b) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f122,plain,
( transitive_reflexive_rewrite(c,b)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( ~ transitive_reflexive_rewrite(c,b)
| spl3_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f132,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(X0,b) )
| spl3_5 ),
inference(resolution,[],[f123,f40]) ).
fof(f150,definition,
( spl3_8
<=> equalish(a,b) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f151,plain,
( ~ equalish(a,b)
| spl3_8 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( equalish(a,b)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f157,plain,
( transitive_reflexive_rewrite(b,a)
| ~ spl3_8 ),
inference(resolution,[],[f152,f58]) ).
fof(f183,definition,
( spl3_10
<=> equalish(a,c) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f185,plain,
( equalish(a,c)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f200,plain,
( ~ transitive_reflexive_rewrite(a,c)
| ~ spl3_1
| ~ spl3_8 ),
inference(resolution,[],[f89,f157]) ).
fof(f207,plain,
( $false
| ~ spl3_1
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f200,f32]) ).
fof(f208,plain,
( ~ spl3_1
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f309,plain,
( ! [X2,X3,X0,X1] :
( ~ rewrite(a,X3)
| ~ rewrite(a,X1)
| ~ transitive_reflexive_rewrite(X1,b)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ transitive_reflexive_rewrite(X3,X2)
| ~ transitive_reflexive_rewrite(X3,c) )
| ~ spl3_1 ),
inference(resolution,[],[f118,f37]) ).
fof(f317,plain,
( ! [X2,X0,X1] :
( ~ rewrite(a,X0)
| ~ rewrite(a,X1)
| ~ transitive_reflexive_rewrite(X1,b)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_1 ),
inference(factoring,[],[f309]) ).
fof(f318,plain,
( ! [X2,X0,X1] :
( ~ rewrite(a,X1)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X1,b)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f320,plain,
( ! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(sK0(a,X1),b)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(sK0(a,X1),X2)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,c)
| equalish(a,X1)
| ~ transitive_reflexive_rewrite(a,X1) )
| ~ spl3_1 ),
inference(resolution,[],[f318,f35]) ).
fof(f323,plain,
( ! [X0,X1] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(sK0(a,b),X1)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,c)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_1 ),
inference(resolution,[],[f320,f34]) ).
fof(f328,plain,
( ! [X0,X1] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(sK0(a,b),X1)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,c)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f329,plain,
( ! [X0,X1] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(sK0(a,b),X1)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_1
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f328,f151]) ).
fof(f330,plain,
( ! [X0,X1] :
( ~ transitive_reflexive_rewrite(sK0(a,b),X1)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_1
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f329,f33]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( ~ transitive_reflexive_rewrite(X0,sK2(sK0(a,b),X1))
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(X2,sK0(a,b))
| ~ rewrite(X2,X1) )
| ~ spl3_1
| spl3_8 ),
inference(resolution,[],[f330,f39]) ).
fof(f360,plain,
( ! [X2,X0,X1] :
( ~ rewrite(X2,sK0(a,b))
| ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(X1,sK0(a,b))
| ~ rewrite(X1,X0)
| ~ rewrite(a,X0)
| ~ rewrite(X2,X0) )
| ~ spl3_1
| spl3_8 ),
inference(resolution,[],[f336,f38]) ).
fof(f365,plain,
( ! [X0,X1] :
( ~ rewrite(X0,sK0(a,b))
| ~ transitive_reflexive_rewrite(X1,c)
| ~ rewrite(X0,X1)
| ~ rewrite(a,X1)
| ~ rewrite(X0,X1) )
| ~ spl3_1
| spl3_8 ),
inference(factoring,[],[f360]) ).
fof(f372,plain,
( ! [X0,X1] :
( ~ rewrite(X0,sK0(a,b))
| ~ transitive_reflexive_rewrite(X1,c)
| ~ rewrite(X0,X1)
| ~ rewrite(a,X1) )
| ~ spl3_1
| spl3_8 ),
inference(duplicate_literal_removal,[],[f365]) ).
fof(f374,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X0)
| ~ rewrite(a,X0)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_1
| spl3_8 ),
inference(resolution,[],[f372,f35]) ).
fof(f378,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X0)
| equalish(a,b)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_1
| spl3_8 ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f379,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(X0,c)
| ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(a,b) )
| ~ spl3_1
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f378,f151]) ).
fof(f380,plain,
( ! [X0] :
( ~ rewrite(a,X0)
| ~ transitive_reflexive_rewrite(X0,c) )
| ~ spl3_1
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f379,f33]) ).
fof(f381,plain,
( ! [X0] :
( ~ transitive_reflexive_rewrite(sK0(a,X0),c)
| equalish(a,X0)
| ~ transitive_reflexive_rewrite(a,X0) )
| ~ spl3_1
| spl3_8 ),
inference(resolution,[],[f380,f35]) ).
fof(f382,plain,
( equalish(a,c)
| ~ transitive_reflexive_rewrite(a,c)
| equalish(a,c)
| ~ transitive_reflexive_rewrite(a,c)
| ~ spl3_1
| spl3_8 ),
inference(resolution,[],[f381,f34]) ).
fof(f384,plain,
( equalish(a,c)
| ~ transitive_reflexive_rewrite(a,c)
| ~ spl3_1
| spl3_8 ),
inference(duplicate_literal_removal,[],[f382]) ).
fof(f385,plain,
( equalish(a,c)
| ~ spl3_1
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f384,f32]) ).
fof(f386,plain,
( spl3_10
| ~ spl3_1
| spl3_8 ),
inference(avatar_split_clause,[],[f385,f150,f46,f183]) ).
fof(f387,plain,
( transitive_reflexive_rewrite(c,a)
| ~ spl3_10 ),
inference(resolution,[],[f185,f58]) ).
fof(f389,plain,
( ~ transitive_reflexive_rewrite(a,b)
| spl3_5
| ~ spl3_10 ),
inference(resolution,[],[f387,f132]) ).
fof(f392,plain,
( $false
| spl3_5
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f389,f33]) ).
fof(f393,plain,
( spl3_5
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f395,plain,
( ~ transitive_reflexive_rewrite(b,b)
| ~ spl3_1
| ~ spl3_5 ),
inference(resolution,[],[f122,f47]) ).
fof(f397,plain,
( $false
| ~ spl3_1
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f395,f61]) ).
fof(f398,plain,
( ~ spl3_1
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f397]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f52]) ).
cnf(s2,plain,
~ spl3_2,
inference(sat_conversion,[],[f53]) ).
cnf(s10,plain,
( ~ spl3_1
| ~ spl3_8 ),
inference(sat_conversion,[],[f208]) ).
cnf(s15,plain,
( ~ spl3_1
| spl3_8
| spl3_10 ),
inference(sat_conversion,[],[f386]) ).
cnf(s16,plain,
( spl3_5
| ~ spl3_10 ),
inference(sat_conversion,[],[f393]) ).
cnf(s17,plain,
( ~ spl3_1
| ~ spl3_5 ),
inference(sat_conversion,[],[f398]) ).
cnf(s18,plain,
spl3_1,
inference(rat,[],[s1,s2]) ).
cnf(s19,plain,
~ spl3_5,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
~ spl3_8,
inference(rat,[],[s10,s18]) ).
cnf(s23,plain,
~ spl3_10,
inference(rat,[],[s16,s19]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s15,s18,s23,s20]) ).
fof(f399,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 % Computer : n018.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Mon Sep 28 21:46:10 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running first-order theorem proving
% 0.09/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.42/3.22 % (3823707)Detected formulas, will run a generic FOF schedule.
% 17.42/3.22 % (3823717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2848751084:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 17.42/3.22 % (3823717)Instruction limit reached!
% 17.42/3.22 % (3823717)------------------------------
% 17.42/3.22 % (3823717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823717)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823717)Termination reason: Instruction limit
% 17.42/3.22 % (3823717)Termination phase: Saturation
% 17.42/3.22 % (3823717)Time elapsed: 0.079 s
% 17.42/3.22 % (3823717)Peak memory usage: 90 MB
% 17.42/3.22 % (3823717)Instructions burned: 141 (million)
% 17.42/3.22 % (3823713)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=778434408:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 17.42/3.22 % (3823712)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=1863903465:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 17.42/3.22 % (3823714)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=3123284384:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 17.42/3.22 % (3823715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1448522245:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 17.42/3.22 % (3823716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3329289654:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 17.42/3.22 % (3823715)Refutation not found, incomplete strategy
% 17.42/3.22 % (3823715)------------------------------
% 17.42/3.22 % (3823715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823715)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823715)Termination reason: Refutation not found, incomplete strategy
% 17.42/3.22 % (3823715)Time elapsed: 0.001 s
% 17.42/3.22 % (3823715)Peak memory usage: 87 MB
% 17.42/3.22 % (3823718)dis-21_1_sil=8000:lcm=predicate:random_seed=667324941:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 17.42/3.22 % (3823716)Instruction limit reached!
% 17.42/3.22 % (3823716)------------------------------
% 17.42/3.22 % (3823716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823716)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823716)Termination reason: Instruction limit
% 17.42/3.22 % (3823716)Termination phase: Saturation
% 17.42/3.22 % (3823716)Time elapsed: 0.113 s
% 17.42/3.22 % (3823716)Peak memory usage: 88 MB
% 17.42/3.22 % (3823716)Instructions burned: 119 (million)
% 17.42/3.22 % (3823718)Instruction limit reached!
% 17.42/3.22 % (3823718)------------------------------
% 17.42/3.22 % (3823718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823718)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823718)Termination reason: Instruction limit
% 17.42/3.22 % (3823718)Termination phase: Saturation
% 17.42/3.22 % (3823718)Time elapsed: 0.111 s
% 17.42/3.22 % (3823718)Peak memory usage: 89 MB
% 17.42/3.22 % (3823718)Instructions burned: 129 (million)
% 17.42/3.22 % (3823721)lrs+10_1_sil=8000:sp=occurrence:random_seed=3183546529:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 17.42/3.22 % (3823721)Instruction limit reached!
% 17.42/3.22 % (3823721)------------------------------
% 17.42/3.22 % (3823721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823721)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823721)Termination reason: Instruction limit
% 17.42/3.22 % (3823721)Termination phase: Saturation
% 17.42/3.22 % (3823721)Time elapsed: 0.150 s
% 17.42/3.22 % (3823721)Peak memory usage: 91 MB
% 17.42/3.22 % (3823721)Instructions burned: 286 (million)
% 17.42/3.22 % (3823729)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4055004146:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.42/3.22 % (3823729)Refutation not found, incomplete strategy
% 17.42/3.22 % (3823729)------------------------------
% 17.42/3.22 % (3823729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823729)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823729)Termination reason: Refutation not found, incomplete strategy
% 17.42/3.22 % (3823729)Time elapsed: 0.001 s
% 17.42/3.22 % (3823729)Peak memory usage: 87 MB
% 17.42/3.22 % (3823715)------------------------------
% 17.42/3.22 % (3823715)------------------------------
% 17.42/3.22 % (3823730)lrs+1011_1_sil=32000:sp=occurrence:random_seed=592440299:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 17.42/3.22 % (3823730)Refutation not found, incomplete strategy
% 17.42/3.22 % (3823730)------------------------------
% 17.42/3.22 % (3823730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823730)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823730)Termination reason: Refutation not found, incomplete strategy
% 17.42/3.22 % (3823730)Time elapsed: 0.001 s
% 17.42/3.22 % (3823730)Peak memory usage: 87 MB
% 17.42/3.22 % (3823732)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=3572803010:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 17.42/3.22 % (3823734)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=473518196:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 17.42/3.22 % (3823734)Refutation not found, incomplete strategy
% 17.42/3.22 % (3823734)------------------------------
% 17.42/3.22 % (3823734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823734)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823734)Termination reason: Refutation not found, incomplete strategy
% 17.42/3.22 % (3823734)Time elapsed: 0.001 s
% 17.42/3.22 % (3823734)Peak memory usage: 88 MB
% 17.42/3.22 % (3823729)------------------------------
% 17.42/3.22 % (3823729)------------------------------
% 17.42/3.22 % (3823732)Instruction limit reached!
% 17.42/3.22 % (3823732)------------------------------
% 17.42/3.22 % (3823732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823732)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823732)Termination reason: Instruction limit
% 17.42/3.22 % (3823732)Termination phase: Saturation
% 17.42/3.22 % (3823732)Time elapsed: 0.226 s
% 17.42/3.22 % (3823732)Peak memory usage: 91 MB
% 17.42/3.22 % (3823732)Instructions burned: 248 (million)
% 17.42/3.22 % (3823734)------------------------------
% 17.42/3.22 % (3823734)------------------------------
% 17.42/3.22 % (3823730)------------------------------
% 17.42/3.22 % (3823730)------------------------------
% 17.42/3.22 % (3823738)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=938261702:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 17.42/3.22 % (3823741)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=129988261:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 17.42/3.22 % (3823741)Refutation not found, incomplete strategy
% 17.42/3.22 % (3823741)------------------------------
% 17.42/3.22 % (3823741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823741)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823741)Termination reason: Refutation not found, incomplete strategy
% 17.42/3.22 % (3823741)Time elapsed: 0.0000 s
% 17.42/3.22 % (3823741)Peak memory usage: 87 MB
% 17.42/3.22 % (3823739)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1737982122:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 17.42/3.22 % (3823740)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3338475752:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 17.42/3.22 % (3823739)Instruction limit reached!
% 17.42/3.22 % (3823739)------------------------------
% 17.42/3.22 % (3823739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823739)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823739)Termination reason: Instruction limit
% 17.42/3.22 % (3823739)Termination phase: Saturation
% 17.42/3.22 % (3823739)Time elapsed: 0.119 s
% 17.42/3.22 % (3823739)Peak memory usage: 89 MB
% 17.42/3.22 % (3823739)Instructions burned: 113 (million)
% 17.42/3.22 % (3823740)Instruction limit reached!
% 17.42/3.22 % (3823740)------------------------------
% 17.42/3.22 % (3823740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823740)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823740)Termination reason: Instruction limit
% 17.42/3.22 % (3823740)Termination phase: Saturation
% 17.42/3.22 % (3823740)Time elapsed: 0.110 s
% 17.42/3.22 % (3823740)Peak memory usage: 89 MB
% 17.42/3.22 % (3823740)Instructions burned: 127 (million)
% 17.42/3.22 % (3823741)------------------------------
% 17.42/3.22 % (3823741)------------------------------
% 17.42/3.22 % (3823748)lrs+10_1_sil=8000:sp=occurrence:random_seed=99030359:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 17.42/3.22 % (3823749)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2256403666:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 17.42/3.22 % (3823749)Refutation not found, incomplete strategy
% 17.42/3.22 % (3823749)------------------------------
% 17.42/3.22 % (3823749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823749)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823749)Termination reason: Refutation not found, incomplete strategy
% 17.42/3.22 % (3823749)Time elapsed: 0.002 s
% 17.42/3.22 % (3823749)Peak memory usage: 88 MB
% 17.42/3.22 % (3823750)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=406454634:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 17.42/3.22 % (3823749)------------------------------
% 17.42/3.22 % (3823749)------------------------------
% 17.42/3.22 % (3823754)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2221403752:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 17.42/3.22 % (3823750)First to succeed.
% 17.42/3.22 % (3823750)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3823707"
% 17.42/3.22 % (3823754)Instruction limit reached!
% 17.42/3.22 % (3823754)------------------------------
% 17.42/3.22 % (3823754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823754)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823754)Termination reason: Instruction limit
% 17.42/3.22 % (3823754)Termination phase: Saturation
% 17.42/3.22 % (3823754)Time elapsed: 0.116 s
% 17.42/3.22 % (3823754)Peak memory usage: 90 MB
% 17.42/3.22 % (3823754)Instructions burned: 135 (million)
% 17.42/3.22 % (3823748)Instruction limit reached!
% 17.42/3.22 % (3823748)------------------------------
% 17.42/3.22 % (3823748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.42/3.22 % (3823748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.42/3.22 % (3823748)CaDiCaL version: 2.1.3
% 17.42/3.22 % (3823748)Termination reason: Instruction limit
% 17.42/3.22 % (3823748)Termination phase: Saturation
% 17.42/3.22 % (3823748)Time elapsed: 0.851 s
% 17.42/3.22 % (3823748)Peak memory usage: 96 MB
% 17.42/3.22 % (3823748)Instructions burned: 907 (million)
% 17.42/3.22 % (3823750)Refutation found. Thanks to Tanya!
% 17.42/3.22 % SZS status Theorem for theBenchmark
% 17.42/3.22 % SZS output start Proof for theBenchmark
% See solution above
% 18.99/3.47 % (3823750)------------------------------
% 18.99/3.47 % (3823750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.99/3.47 % (3823750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.47 % (3823750)CaDiCaL version: 2.1.3
% 18.99/3.47 % (3823750)Termination reason: Refutation
% 18.99/3.47 % (3823750)Time elapsed: 0.650 s
% 18.99/3.47 % (3823750)Peak memory usage: 129 MB
% 18.99/3.47 % (3823750)Instructions burned: 992 (million)
% 18.99/3.47 % (3823750)------------------------------
% 18.99/3.47 % (3823750)------------------------------
% 18.99/3.47 % (3823707)Success in time 2.599 s
% 18.99/3.47 % Vampire exiting
%------------------------------------------------------------------------------