%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV042+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 01:20:03 PM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 128 ( 16 unt; 8 def)
% Number of atoms : 571 ( 167 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 672 ( 229 ~; 298 |; 117 &)
% ( 6 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 54 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f53,conjecture,
( ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n3) )
=> a_select2(s_values7_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X3) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( ! [X4] :
( ( leq(n0,X4)
& leq(X4,n2) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n3) )
=> a_select3(simplex7_init,X5,X4) = init ) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n3) )
=> a_select2(s_values7_init,X6) = init )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n2) )
=> a_select2(s_center7_init,X7) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0081) ).
fof(f54,negated_conjecture,
~ ( ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n3) )
=> a_select2(s_values7_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X3) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( ! [X4] :
( ( leq(n0,X4)
& leq(X4,n2) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n3) )
=> a_select3(simplex7_init,X5,X4) = init ) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n3) )
=> a_select2(s_values7_init,X6) = init )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n2) )
=> a_select2(s_center7_init,X7) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f136,plain,
( ( ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(n0,X5)
& leq(X5,n3) )
& leq(n0,X4)
& leq(X4,n2) )
| ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(n0,X6)
& leq(X6,n3) )
| ? [X7] :
( init != a_select2(s_center7_init,X7)
& leq(n0,X7)
& leq(X7,n2) )
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,minus(plus(n1,n2),n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ( ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(n0,X5)
& leq(X5,n3) )
& leq(n0,X4)
& leq(X4,n2) )
| ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(n0,X6)
& leq(X6,n3) )
| ? [X7] :
( init != a_select2(s_center7_init,X7)
& leq(n0,X7)
& leq(X7,n2) )
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,minus(plus(n1,n2),n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f136]) ).
fof(f157,definition,
( ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(n0,X5)
& leq(X5,n3) )
& leq(n0,X4)
& leq(X4,n2) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f158,definition,
( ? [X7] :
( init != a_select2(s_center7_init,X7)
& leq(n0,X7)
& leq(X7,n2) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f159,plain,
( ( sP4
| ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(n0,X6)
& leq(X6,n3) )
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,minus(plus(n1,n2),n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(definition_folding,[],[f137,f158,f157]) ).
fof(f193,plain,
( ? [X7] :
( init != a_select2(s_center7_init,X7)
& leq(n0,X7)
& leq(X7,n2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f158]) ).
fof(f194,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP5 ),
inference(rectify,[],[f193]) ).
fof(f195,plain,
( ( init != a_select2(s_center7_init,sK33)
& leq(n0,sK33)
& leq(sK33,n2) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X0,sK33)],[f194]) ).
fof(f196,plain,
( ? [X4] :
( ? [X5] :
( init != a_select3(simplex7_init,X5,X4)
& leq(n0,X5)
& leq(X5,n3) )
& leq(n0,X4)
& leq(X4,n2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f157]) ).
fof(f197,plain,
( ? [X0] :
( ? [X1] :
( a_select3(simplex7_init,X1,X0) != init
& leq(n0,X1)
& leq(X1,n3) )
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP4 ),
inference(rectify,[],[f196]) ).
fof(f198,plain,
( ( init != a_select3(simplex7_init,sK35,sK34)
& leq(n0,sK35)
& leq(sK35,n3)
& leq(n0,sK34)
& leq(sK34,n2) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f197]) ).
fof(f199,plain,
( ( sP4
| ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(n0,X0)
& leq(X0,n3) )
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) )
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,minus(plus(n1,n2),n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f159]) ).
fof(f200,plain,
( ( sP4
| ( init != a_select2(s_values7_init,sK36)
& leq(n0,sK36)
& leq(sK36,n3) )
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) )
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,minus(plus(n1,n2),n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f199]) ).
fof(f281,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f282,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f291,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f292,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f311,plain,
( leq(sK33,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f195]) ).
fof(f312,plain,
( leq(n0,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f195]) ).
fof(f313,plain,
( init != a_select2(s_center7_init,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f195]) ).
fof(f314,plain,
( leq(sK34,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f198]) ).
fof(f315,plain,
( leq(n0,sK34)
| ~ sP4 ),
inference(cnf_transformation,[],[f198]) ).
fof(f316,plain,
( leq(sK35,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f198]) ).
fof(f317,plain,
( leq(n0,sK35)
| ~ sP4 ),
inference(cnf_transformation,[],[f198]) ).
fof(f318,plain,
( init != a_select3(simplex7_init,sK35,sK34)
| ~ sP4 ),
inference(cnf_transformation,[],[f198]) ).
fof(f319,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f320,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f321,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f322,plain,
! [X4] :
( ~ leq(X4,minus(plus(n1,n2),n1))
| ~ leq(n0,X4)
| init = a_select2(s_center7_init,X4) ),
inference(cnf_transformation,[],[f200]) ).
fof(f323,plain,
! [X3] :
( ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f324,plain,
! [X2,X1] :
( ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f325,plain,
( sP4
| leq(sK36,n3)
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f326,plain,
( sP4
| leq(sK36,n3)
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f200]) ).
fof(f327,plain,
( sP4
| leq(n0,sK36)
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f328,plain,
( sP4
| leq(n0,sK36)
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f200]) ).
fof(f329,plain,
( sP4
| init != a_select2(s_values7_init,sK36)
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f330,plain,
( sP4
| init != a_select2(s_values7_init,sK36)
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f200]) ).
fof(f370,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f282,f281]) ).
fof(f379,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f292,f291,f281]) ).
fof(f393,definition,
( spl37_1
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl37_1])],[avatar_definition]) ).
fof(f394,plain,
( sP5
| ~ spl37_1 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f395,plain,
( ~ sP5
| spl37_1 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f397,definition,
( spl37_2
<=> init = a_select2(s_center7_init,sK33) ),
introduced(definition,[new_symbols(definition,[spl37_2])],[avatar_definition]) ).
fof(f399,plain,
( init != a_select2(s_center7_init,sK33)
| spl37_2 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,plain,
( ~ spl37_1
| ~ spl37_2 ),
inference(avatar_split_clause,[],[f313,f397,f393]) ).
fof(f402,definition,
( spl37_3
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl37_3])],[avatar_definition]) ).
fof(f403,plain,
( sP4
| ~ spl37_3 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f404,plain,
( ~ sP4
| spl37_3 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f406,definition,
( spl37_4
<=> init = a_select3(simplex7_init,sK35,sK34) ),
introduced(definition,[new_symbols(definition,[spl37_4])],[avatar_definition]) ).
fof(f408,plain,
( init != a_select3(simplex7_init,sK35,sK34)
| spl37_4 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f409,plain,
( ~ spl37_3
| ~ spl37_4 ),
inference(avatar_split_clause,[],[f318,f406,f402]) ).
fof(f435,definition,
( spl37_13
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[spl37_13])],[avatar_definition]) ).
fof(f436,plain,
( gt(loopcounter,n1)
| ~ spl37_13 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( ~ gt(loopcounter,n1)
| spl37_13 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f439,definition,
( spl37_14
<=> init = pvar1402_init ),
introduced(definition,[new_symbols(definition,[spl37_14])],[avatar_definition]) ).
fof(f441,plain,
( init = pvar1402_init
| ~ spl37_14 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,plain,
( ~ spl37_13
| spl37_14 ),
inference(avatar_split_clause,[],[f319,f439,f435]) ).
fof(f443,plain,
( leq(sK36,n3)
| sP5
| gt(loopcounter,n1)
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f325,f404]) ).
fof(f444,plain,
( leq(sK36,n3)
| gt(loopcounter,n1)
| spl37_1
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f443,f395]) ).
fof(f445,plain,
( leq(sK36,n3)
| spl37_1
| spl37_3
| spl37_13 ),
inference(forward_subsumption_resolution,[],[f444,f437]) ).
fof(f446,plain,
( leq(n0,sK36)
| sP5
| gt(loopcounter,n1)
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f327,f404]) ).
fof(f447,plain,
( leq(n0,sK36)
| gt(loopcounter,n1)
| spl37_1
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f446,f395]) ).
fof(f448,plain,
( leq(n0,sK36)
| spl37_1
| spl37_3
| spl37_13 ),
inference(forward_subsumption_resolution,[],[f447,f437]) ).
fof(f449,plain,
( init != a_select2(s_values7_init,sK36)
| sP5
| gt(loopcounter,n1)
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f329,f404]) ).
fof(f450,plain,
( init != a_select2(s_values7_init,sK36)
| gt(loopcounter,n1)
| spl37_1
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f449,f395]) ).
fof(f451,plain,
( init != a_select2(s_values7_init,sK36)
| spl37_1
| spl37_3
| spl37_13 ),
inference(forward_subsumption_resolution,[],[f450,f437]) ).
fof(f461,plain,
( init = a_select2(s_values7_init,sK36)
| ~ leq(sK36,n3)
| spl37_1
| spl37_3
| spl37_13 ),
inference(resolution,[],[f323,f448]) ).
fof(f462,plain,
( ~ leq(sK36,n3)
| spl37_1
| spl37_3
| spl37_13 ),
inference(forward_subsumption_resolution,[],[f461,f451]) ).
fof(f463,plain,
( $false
| spl37_1
| spl37_3
| spl37_13 ),
inference(forward_subsumption_resolution,[],[f462,f445]) ).
fof(f464,plain,
( spl37_1
| spl37_3
| spl37_13 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f525,plain,
( leq(sK33,n2)
| ~ spl37_1 ),
inference(forward_subsumption_resolution,[],[f311,f394]) ).
fof(f526,plain,
( leq(n0,sK33)
| ~ spl37_1 ),
inference(forward_subsumption_resolution,[],[f312,f394]) ).
fof(f636,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(superposition,[],[f379,f370]) ).
fof(f676,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| init = a_select2(s_center7_init,X0) ),
inference(superposition,[],[f322,f636]) ).
fof(f685,plain,
( ~ leq(sK33,n2)
| init = a_select2(s_center7_init,sK33)
| ~ spl37_1 ),
inference(resolution,[],[f676,f526]) ).
fof(f692,plain,
( init = a_select2(s_center7_init,sK33)
| ~ spl37_1 ),
inference(forward_subsumption_resolution,[],[f685,f525]) ).
fof(f695,plain,
( $false
| ~ spl37_1
| spl37_2 ),
inference(forward_subsumption_resolution,[],[f692,f399]) ).
fof(f696,plain,
( ~ spl37_1
| spl37_2 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f709,plain,
( init = pvar1401_init
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f320,f436]) ).
fof(f710,plain,
( init = pvar1400_init
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f321,f436]) ).
fof(f750,plain,
( init != a_select2(s_values7_init,sK36)
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f330,f404]) ).
fof(f753,plain,
( init != a_select2(s_values7_init,sK36)
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| spl37_1
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f750,f395]) ).
fof(f756,plain,
( init != a_select2(s_values7_init,sK36)
| init != pvar1401_init
| init != pvar1402_init
| spl37_1
| spl37_3
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f753,f710]) ).
fof(f758,plain,
( init != a_select2(s_values7_init,sK36)
| init != pvar1402_init
| spl37_1
| spl37_3
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f756,f709]) ).
fof(f760,plain,
( init != a_select2(s_values7_init,sK36)
| spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(forward_subsumption_resolution,[],[f758,f441]) ).
fof(f779,plain,
( leq(sK36,n3)
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f326,f404]) ).
fof(f780,plain,
( leq(sK36,n3)
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| spl37_1
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f779,f395]) ).
fof(f781,plain,
( leq(sK36,n3)
| init != pvar1401_init
| init != pvar1402_init
| spl37_1
| spl37_3
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f780,f710]) ).
fof(f782,plain,
( leq(sK36,n3)
| init != pvar1402_init
| spl37_1
| spl37_3
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f781,f709]) ).
fof(f783,plain,
( leq(sK36,n3)
| spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(forward_subsumption_resolution,[],[f782,f441]) ).
fof(f784,plain,
( leq(n0,sK36)
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f328,f404]) ).
fof(f785,plain,
( leq(n0,sK36)
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| spl37_1
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f784,f395]) ).
fof(f786,plain,
( leq(n0,sK36)
| init != pvar1401_init
| init != pvar1402_init
| spl37_1
| spl37_3
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f785,f710]) ).
fof(f787,plain,
( leq(n0,sK36)
| init != pvar1402_init
| spl37_1
| spl37_3
| ~ spl37_13 ),
inference(forward_subsumption_resolution,[],[f786,f709]) ).
fof(f788,plain,
( leq(n0,sK36)
| spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(forward_subsumption_resolution,[],[f787,f441]) ).
fof(f791,plain,
( init = a_select2(s_values7_init,sK36)
| ~ leq(sK36,n3)
| spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(resolution,[],[f788,f323]) ).
fof(f792,plain,
( ~ leq(sK36,n3)
| spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(forward_subsumption_resolution,[],[f791,f760]) ).
fof(f793,plain,
( $false
| spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(forward_subsumption_resolution,[],[f792,f783]) ).
fof(f794,plain,
( spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f922,plain,
( leq(sK34,n2)
| ~ spl37_3 ),
inference(forward_subsumption_resolution,[],[f314,f403]) ).
fof(f923,plain,
( leq(n0,sK34)
| ~ spl37_3 ),
inference(forward_subsumption_resolution,[],[f315,f403]) ).
fof(f941,plain,
( leq(sK35,n3)
| ~ spl37_3 ),
inference(forward_subsumption_resolution,[],[f316,f403]) ).
fof(f942,plain,
( leq(n0,sK35)
| ~ spl37_3 ),
inference(forward_subsumption_resolution,[],[f317,f403]) ).
fof(f944,plain,
( ! [X0] :
( init = a_select3(simplex7_init,sK35,X0)
| ~ leq(sK35,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
| ~ spl37_3 ),
inference(resolution,[],[f942,f324]) ).
fof(f950,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(simplex7_init,sK35,X0)
| ~ leq(X0,n2) )
| ~ spl37_3 ),
inference(forward_subsumption_resolution,[],[f944,f941]) ).
fof(f969,plain,
( init = a_select3(simplex7_init,sK35,sK34)
| ~ leq(sK34,n2)
| ~ spl37_3 ),
inference(resolution,[],[f950,f923]) ).
fof(f977,plain,
( ~ leq(sK34,n2)
| ~ spl37_3
| spl37_4 ),
inference(forward_subsumption_resolution,[],[f969,f408]) ).
fof(f982,plain,
( $false
| ~ spl37_3
| spl37_4 ),
inference(forward_subsumption_resolution,[],[f977,f922]) ).
fof(f983,plain,
( ~ spl37_3
| spl37_4 ),
inference(avatar_contradiction_clause,[],[f982]) ).
cnf(s164,plain,
( ~ spl37_1
| ~ spl37_2 ),
inference(sat_conversion,[],[f400]) ).
cnf(s168,plain,
( ~ spl37_3
| ~ spl37_4 ),
inference(sat_conversion,[],[f409]) ).
cnf(s192,plain,
( ~ spl37_13
| spl37_14 ),
inference(sat_conversion,[],[f442]) ).
cnf(s202,plain,
( spl37_1
| spl37_3
| spl37_13 ),
inference(sat_conversion,[],[f464]) ).
cnf(s400,plain,
( ~ spl37_1
| spl37_2 ),
inference(sat_conversion,[],[f696]) ).
cnf(s475,plain,
( spl37_1
| spl37_3
| ~ spl37_13
| ~ spl37_14 ),
inference(sat_conversion,[],[f794]) ).
cnf(s569,plain,
( ~ spl37_3
| spl37_4 ),
inference(sat_conversion,[],[f983]) ).
cnf(s574,plain,
( spl37_3
| spl37_1 ),
inference(rat,[],[s475,s192,s202]) ).
cnf(s575,plain,
~ spl37_3,
inference(rat,[],[s168,s569]) ).
cnf(s576,plain,
spl37_1,
inference(rat,[],[s574,s575]) ).
cnf(s577,plain,
spl37_2,
inference(rat,[],[s400,s576]) ).
cnf(s578,plain,
$false,
inference(rat,[],[s164,s577,s576]) ).
fof(f988,plain,
$false,
inference(avatar_sat_refutation,[],[s578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV042+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:43:55 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.30 % (3853437)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (3853442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2559554371_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % (3853443)% WARNING: option uhcvi not known.
% 0.20/0.30 % (3853443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1746550135:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (3853444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3602200145:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (3853445)dis+10_1_sil=32000:sp=arity:random_seed=1690176473:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (3853446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3038178025:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (3853447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=871811156:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % (3853448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=595641557:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % TRYING [1]
% 0.20/0.30 % TRYING [2]
% 0.20/0.30 % (3853444) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3853437-3853444"...
% 0.20/0.30 % (3853444)...printing done.
% 0.20/0.30 % (3853444)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (3853444)------------------------------
% 0.20/0.31 % (3853444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (3853444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (3853444)CaDiCaL version: 2.1.3
% 0.20/0.31 % (3853444)Termination reason: Refutation
% 0.20/0.31 % (3853444)Time elapsed: 0.021 s
% 0.20/0.31 % (3853444)Peak memory usage: 13 MB
% 0.20/0.31 % (3853444)Instructions burned: 33 (million)
% 0.20/0.31 % (3853437)Success in time 0.071 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------