%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO535+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:54:40 AM UTC 2026
% Result : Theorem 6.14s 1.37s
% Output : Refutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 136 ( 20 unt; 9 def)
% Number of atoms : 350 ( 43 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 361 ( 147 ~; 198 |; 7 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-6 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 149 ( 0 sgn 143 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,X5)
| s_e(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA3) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_5) ).
fof(f14,axiom,
! [X0,X1] : s_e(X0,X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_8) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f20,axiom,
! [X0,X1] : s_t(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_1) ).
fof(f205,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| ~ sameside(X6,X1,X0)
| ~ sameside(X7,X1,X2)
| ~ sameside(X8,X4,X3)
| ~ sameside(X9,X4,X5)
| ~ s_e(X1,X6,X4,X8)
| ~ s_e(X1,X7,X4,X9)
| s_e(X6,X7,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4) ).
fof(f213,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ s_e(X1,X2,X4,X5)
| s_e(X0,X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_49a) ).
fof(f214,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ s_e(X1,X2,X4,X5)
| s_e(X0,X2,X3,X5) ),
inference(negated_conjecture,[status(cth)],[f213]) ).
fof(f222,axiom,
! [X0,X1,X2] :
( ( ~ sameside(X0,X1,X2)
| X0 != X1 )
& ( ~ sameside(X0,X1,X2)
| X2 != X1 )
& ( ~ sameside(X0,X1,X2)
| s_t(X1,X0,X2)
| s_t(X1,X2,X0) )
& ( ~ s_t(X1,X0,X2)
| X0 = X1
| xb = X1
| sameside(X0,X1,X2) )
& ( ~ s_t(X1,X2,X0)
| X0 = X1
| X2 = X1
| sameside(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn6_1) ).
fof(f230,plain,
? [X0,X1,X2,X3,X4,X5] :
( congruent(X0,X1,X2,X3,X4,X5)
& s_e(X1,X0,X4,X3)
& s_e(X1,X2,X4,X5)
& ~ s_e(X0,X2,X3,X5) ),
inference(ennf_transformation,[],[f214]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f248,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f14]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f254,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f20]) ).
fof(f478,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( s_e(X6,X7,X8,X9)
| ~ s_e(X1,X7,X4,X9)
| ~ s_e(X1,X6,X4,X8)
| ~ sameside(X9,X4,X5)
| ~ sameside(X8,X4,X3)
| ~ sameside(X7,X1,X2)
| ~ sameside(X6,X1,X0)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f205]) ).
fof(f487,plain,
~ s_e(sK0,sK2,sK3,sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f488,plain,
s_e(sK1,sK2,sK4,sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f489,plain,
s_e(sK1,sK0,sK4,sK3),
inference(cnf_transformation,[],[f230]) ).
fof(f490,plain,
congruent(sK0,sK1,sK2,sK3,sK4,sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f526,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X2,X3,X4,X5)
| s_e(X0,X1,X4,X5)
| s_e(X0,X1,X2,X3) ),
inference(consistent_polarity_flipping,[],[f232]) ).
fof(f597,plain,
! [X2,X0,X1] :
( s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f233]) ).
fof(f608,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X2,X3,X0,X1)
| s_e(X0,X1,X2,X3) ),
inference(consistent_polarity_flipping,[],[f244]) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X3,X2)
| s_e(X0,X1,X2,X3) ),
inference(consistent_polarity_flipping,[],[f247]) ).
fof(f612,plain,
! [X0,X1] : ~ s_e(X0,X0,X1,X1),
inference(consistent_polarity_flipping,[],[f248]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X1,X0,X3,X2)
| s_e(X0,X1,X2,X3) ),
inference(consistent_polarity_flipping,[],[f252]) ).
fof(f618,plain,
! [X0,X1] : ~ s_t(X0,X1,X1),
inference(consistent_polarity_flipping,[],[f254]) ).
fof(f808,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ s_e(X6,X7,X8,X9)
| s_e(X1,X7,X4,X9)
| s_e(X1,X6,X4,X8)
| sameside(X9,X4,X5)
| sameside(X8,X4,X3)
| sameside(X7,X1,X2)
| sameside(X6,X1,X0)
| congruent(X0,X1,X2,X3,X4,X5) ),
inference(consistent_polarity_flipping,[],[f478]) ).
fof(f817,plain,
~ congruent(sK0,sK1,sK2,sK3,sK4,sK5),
inference(consistent_polarity_flipping,[],[f490]) ).
fof(f818,plain,
~ s_e(sK1,sK0,sK4,sK3),
inference(consistent_polarity_flipping,[],[f489]) ).
fof(f819,plain,
~ s_e(sK1,sK2,sK4,sK5),
inference(consistent_polarity_flipping,[],[f488]) ).
fof(f820,plain,
s_e(sK0,sK2,sK3,sK5),
inference(consistent_polarity_flipping,[],[f487]) ).
fof(f851,plain,
! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| s_t(X1,X2,X0) ),
inference(consistent_polarity_flipping,[],[f526]) ).
fof(f1013,plain,
! [X2,X0,X1] :
( s_e(X0,X0,X1,X2)
| X1 = X2 ),
inference(resolution,[],[f608,f597]) ).
fof(f1025,plain,
s_e(sK2,sK0,sK5,sK3),
inference(resolution,[],[f616,f820]) ).
fof(f1618,plain,
! [X2,X3,X0,X1,X4] :
( s_e(X0,X1,X2,X2)
| s_e(X0,X1,X3,X4)
| X3 = X4 ),
inference(resolution,[],[f596,f597]) ).
fof(f3638,definition,
( spl6_106
<=> sK4 = sK5 ),
introduced(definition,[new_symbols(definition,[spl6_106])],[avatar_definition]) ).
fof(f3639,plain,
( sK4 != sK5
| spl6_106 ),
inference(avatar_component_clause,[],[f3638]) ).
fof(f3640,plain,
( sK4 = sK5
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f3638]) ).
fof(f3646,definition,
( spl6_108
<=> sK3 = sK4 ),
introduced(definition,[new_symbols(definition,[spl6_108])],[avatar_definition]) ).
fof(f3647,plain,
( sK3 != sK4
| spl6_108 ),
inference(avatar_component_clause,[],[f3646]) ).
fof(f3648,plain,
( sK3 = sK4
| ~ spl6_108 ),
inference(avatar_component_clause,[],[f3646]) ).
fof(f3664,plain,
( ~ s_e(sK1,sK2,sK4,sK4)
| ~ spl6_106 ),
inference(superposition,[],[f819,f3640]) ).
fof(f3705,plain,
( ~ s_e(sK1,sK0,sK3,sK3)
| ~ spl6_108 ),
inference(superposition,[],[f818,f3648]) ).
fof(f3734,plain,
( sK0 = sK1
| ~ spl6_108 ),
inference(resolution,[],[f3705,f597]) ).
fof(f3743,definition,
( spl6_111
<=> sK0 = sK1 ),
introduced(definition,[new_symbols(definition,[spl6_111])],[avatar_definition]) ).
fof(f3744,plain,
( sK0 != sK1
| spl6_111 ),
inference(avatar_component_clause,[],[f3743]) ).
fof(f3745,plain,
( sK0 = sK1
| ~ spl6_111 ),
inference(avatar_component_clause,[],[f3743]) ).
fof(f3772,plain,
( sK1 = sK2
| ~ spl6_106 ),
inference(resolution,[],[f3664,f597]) ).
fof(f3781,definition,
( spl6_113
<=> sK1 = sK2 ),
introduced(definition,[new_symbols(definition,[spl6_113])],[avatar_definition]) ).
fof(f3782,plain,
( sK1 != sK2
| spl6_113 ),
inference(avatar_component_clause,[],[f3781]) ).
fof(f3783,plain,
( sK1 = sK2
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f3781]) ).
fof(f4378,plain,
! [X2,X3,X0,X1,X4,X5] :
( congruent(X5,X0,X4,X3,X1,X2)
| s_e(X0,sK0,X1,sK3)
| sameside(sK5,X1,X2)
| sameside(sK3,X1,X3)
| sameside(sK2,X0,X4)
| sameside(sK0,X0,X5)
| s_e(X0,sK2,X1,sK5) ),
inference(resolution,[],[f808,f820]) ).
fof(f4608,definition,
( spl6_125
<=> s_e(sK0,sK1,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_125])],[avatar_definition]) ).
fof(f4609,plain,
( ~ s_e(sK0,sK1,sK3,sK4)
| spl6_125 ),
inference(avatar_component_clause,[],[f4608]) ).
fof(f4610,plain,
( s_e(sK0,sK1,sK3,sK4)
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f4608]) ).
fof(f4616,plain,
( ~ s_e(sK0,sK0,sK4,sK3)
| ~ spl6_111 ),
inference(superposition,[],[f818,f3745]) ).
fof(f5249,plain,
( spl6_113
| ~ spl6_106 ),
inference(avatar_split_clause,[],[f3772,f3638,f3781]) ).
fof(f5315,plain,
( s_e(sK1,sK0,sK5,sK3)
| ~ spl6_113 ),
inference(superposition,[],[f1025,f3783]) ).
fof(f5408,plain,
( s_e(sK1,sK0,sK4,sK3)
| ~ spl6_106
| ~ spl6_113 ),
inference(forward_demodulation,[],[f5315,f3640]) ).
fof(f5424,plain,
( $false
| ~ spl6_106
| ~ spl6_113 ),
inference(forward_subsumption_resolution,[],[f5408,f818]) ).
fof(f5425,plain,
( ~ spl6_106
| ~ spl6_113 ),
inference(avatar_contradiction_clause,[],[f5424]) ).
fof(f5711,plain,
( spl6_111
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f3734,f3646,f3743]) ).
fof(f5753,plain,
( ~ s_e(sK0,sK2,sK4,sK5)
| ~ spl6_111 ),
inference(superposition,[],[f819,f3745]) ).
fof(f5761,plain,
( ~ s_e(sK0,sK2,sK3,sK5)
| ~ spl6_108
| ~ spl6_111 ),
inference(forward_demodulation,[],[f5753,f3648]) ).
fof(f5766,plain,
( $false
| ~ spl6_108
| ~ spl6_111 ),
inference(forward_subsumption_resolution,[],[f5761,f820]) ).
fof(f5767,plain,
( ~ spl6_108
| ~ spl6_111 ),
inference(avatar_contradiction_clause,[],[f5766]) ).
fof(f8239,plain,
( s_e(sK0,sK0,sK3,sK4)
| ~ spl6_111
| ~ spl6_125 ),
inference(forward_demodulation,[],[f4610,f3745]) ).
fof(f8553,plain,
( s_e(sK0,sK0,sK4,sK3)
| ~ spl6_111
| ~ spl6_125 ),
inference(resolution,[],[f8239,f611]) ).
fof(f9849,plain,
( $false
| ~ spl6_111
| ~ spl6_125 ),
inference(forward_subsumption_resolution,[],[f4616,f8553]) ).
fof(f9850,plain,
( ~ spl6_111
| ~ spl6_125 ),
inference(avatar_contradiction_clause,[],[f9849]) ).
fof(f9851,plain,
( ~ s_e(sK0,sK0,sK3,sK4)
| ~ spl6_111
| spl6_125 ),
inference(forward_demodulation,[],[f4609,f3745]) ).
fof(f10253,plain,
( sK3 = sK4
| ~ spl6_111
| spl6_125 ),
inference(resolution,[],[f9851,f1013]) ).
fof(f10258,plain,
( $false
| spl6_108
| ~ spl6_111
| spl6_125 ),
inference(forward_subsumption_resolution,[],[f10253,f3647]) ).
fof(f10259,plain,
( spl6_108
| ~ spl6_111
| spl6_125 ),
inference(avatar_contradiction_clause,[],[f10258]) ).
fof(f12212,plain,
! [X0] :
( s_e(sK1,sK2,X0,X0)
| sK4 = sK5 ),
inference(resolution,[],[f1618,f819]) ).
fof(f12214,plain,
( ! [X0] : s_e(sK1,sK2,X0,X0)
| spl6_106 ),
inference(forward_subsumption_resolution,[],[f12212,f3639]) ).
fof(f12222,plain,
( ! [X0] : s_e(sK1,sK1,X0,X0)
| spl6_106
| ~ spl6_113 ),
inference(forward_demodulation,[],[f12214,f3783]) ).
fof(f12223,plain,
( $false
| spl6_106
| ~ spl6_113 ),
inference(forward_subsumption_resolution,[],[f12222,f612]) ).
fof(f12224,plain,
( spl6_106
| ~ spl6_113 ),
inference(avatar_contradiction_clause,[],[f12223]) ).
fof(f12383,plain,
( s_e(sK1,sK0,sK4,sK3)
| sameside(sK5,sK4,sK5)
| sameside(sK3,sK4,sK3)
| sameside(sK2,sK1,sK2)
| sameside(sK0,sK1,sK0)
| s_e(sK1,sK2,sK4,sK5) ),
inference(resolution,[],[f4378,f817]) ).
fof(f12397,plain,
( sameside(sK5,sK4,sK5)
| sameside(sK3,sK4,sK3)
| sameside(sK2,sK1,sK2)
| sameside(sK0,sK1,sK0)
| s_e(sK1,sK2,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f12383,f818]) ).
fof(f12398,plain,
( sameside(sK5,sK4,sK5)
| sameside(sK3,sK4,sK3)
| sameside(sK2,sK1,sK2)
| sameside(sK0,sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f12397,f819]) ).
fof(f12400,definition,
( spl6_342
<=> sameside(sK0,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl6_342])],[avatar_definition]) ).
fof(f12402,plain,
( sameside(sK0,sK1,sK0)
| ~ spl6_342 ),
inference(avatar_component_clause,[],[f12400]) ).
fof(f12404,definition,
( spl6_343
<=> sameside(sK2,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_343])],[avatar_definition]) ).
fof(f12406,plain,
( sameside(sK2,sK1,sK2)
| ~ spl6_343 ),
inference(avatar_component_clause,[],[f12404]) ).
fof(f12408,definition,
( spl6_344
<=> sameside(sK3,sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_344])],[avatar_definition]) ).
fof(f12410,plain,
( sameside(sK3,sK4,sK3)
| ~ spl6_344 ),
inference(avatar_component_clause,[],[f12408]) ).
fof(f12412,definition,
( spl6_345
<=> sameside(sK5,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_345])],[avatar_definition]) ).
fof(f12414,plain,
( sameside(sK5,sK4,sK5)
| ~ spl6_345 ),
inference(avatar_component_clause,[],[f12412]) ).
fof(f12415,plain,
( spl6_342
| spl6_343
| spl6_344
| spl6_345 ),
inference(avatar_split_clause,[],[f12398,f12412,f12408,f12404,f12400]) ).
fof(f15682,plain,
( sK0 = sK1
| sK0 = sK1
| s_t(sK1,sK0,sK0)
| ~ spl6_342 ),
inference(resolution,[],[f12402,f851]) ).
fof(f15684,plain,
( sK0 = sK1
| s_t(sK1,sK0,sK0)
| ~ spl6_342 ),
inference(duplicate_literal_removal,[],[f15682]) ).
fof(f15688,plain,
( s_t(sK1,sK0,sK0)
| spl6_111
| ~ spl6_342 ),
inference(forward_subsumption_resolution,[],[f15684,f3744]) ).
fof(f15696,plain,
( $false
| spl6_111
| ~ spl6_342 ),
inference(forward_subsumption_resolution,[],[f15688,f618]) ).
fof(f15697,plain,
( spl6_111
| ~ spl6_342 ),
inference(avatar_contradiction_clause,[],[f15696]) ).
fof(f16223,plain,
( sK3 = sK4
| sK3 = sK4
| s_t(sK4,sK3,sK3)
| ~ spl6_344 ),
inference(resolution,[],[f12410,f851]) ).
fof(f16225,plain,
( sK3 = sK4
| s_t(sK4,sK3,sK3)
| ~ spl6_344 ),
inference(duplicate_literal_removal,[],[f16223]) ).
fof(f16229,plain,
( s_t(sK4,sK3,sK3)
| spl6_108
| ~ spl6_344 ),
inference(forward_subsumption_resolution,[],[f16225,f3647]) ).
fof(f16237,plain,
( $false
| spl6_108
| ~ spl6_344 ),
inference(forward_subsumption_resolution,[],[f16229,f618]) ).
fof(f16238,plain,
( spl6_108
| ~ spl6_344 ),
inference(avatar_contradiction_clause,[],[f16237]) ).
fof(f23731,plain,
( sK1 = sK2
| sK1 = sK2
| s_t(sK1,sK2,sK2)
| ~ spl6_343 ),
inference(resolution,[],[f12406,f851]) ).
fof(f23733,plain,
( sK1 = sK2
| s_t(sK1,sK2,sK2)
| ~ spl6_343 ),
inference(duplicate_literal_removal,[],[f23731]) ).
fof(f23737,plain,
( s_t(sK1,sK2,sK2)
| spl6_113
| ~ spl6_343 ),
inference(forward_subsumption_resolution,[],[f23733,f3782]) ).
fof(f23745,plain,
( $false
| spl6_113
| ~ spl6_343 ),
inference(forward_subsumption_resolution,[],[f23737,f618]) ).
fof(f23746,plain,
( spl6_113
| ~ spl6_343 ),
inference(avatar_contradiction_clause,[],[f23745]) ).
fof(f25116,plain,
( sK4 = sK5
| sK4 = sK5
| s_t(sK4,sK5,sK5)
| ~ spl6_345 ),
inference(resolution,[],[f12414,f851]) ).
fof(f25118,plain,
( sK4 = sK5
| s_t(sK4,sK5,sK5)
| ~ spl6_345 ),
inference(duplicate_literal_removal,[],[f25116]) ).
fof(f25122,plain,
( s_t(sK4,sK5,sK5)
| spl6_106
| ~ spl6_345 ),
inference(forward_subsumption_resolution,[],[f25118,f3639]) ).
fof(f25130,plain,
( $false
| spl6_106
| ~ spl6_345 ),
inference(forward_subsumption_resolution,[],[f25122,f618]) ).
fof(f25131,plain,
( spl6_106
| ~ spl6_345 ),
inference(avatar_contradiction_clause,[],[f25130]) ).
cnf(s111,plain,
( ~ spl6_106
| spl6_113 ),
inference(sat_conversion,[],[f5249]) ).
cnf(s113,plain,
( ~ spl6_106
| ~ spl6_113 ),
inference(sat_conversion,[],[f5425]) ).
cnf(s123,plain,
( ~ spl6_108
| spl6_111 ),
inference(sat_conversion,[],[f5711]) ).
cnf(s124,plain,
( ~ spl6_108
| ~ spl6_111 ),
inference(sat_conversion,[],[f5767]) ).
cnf(s269,plain,
( ~ spl6_111
| ~ spl6_125 ),
inference(sat_conversion,[],[f9850]) ).
cnf(s293,plain,
( spl6_108
| ~ spl6_111
| spl6_125 ),
inference(sat_conversion,[],[f10259]) ).
cnf(s446,plain,
( spl6_106
| ~ spl6_113 ),
inference(sat_conversion,[],[f12224]) ).
cnf(s467,plain,
( spl6_342
| spl6_343
| spl6_344
| spl6_345 ),
inference(sat_conversion,[],[f12415]) ).
cnf(s543,plain,
( spl6_111
| ~ spl6_342 ),
inference(sat_conversion,[],[f15697]) ).
cnf(s612,plain,
( spl6_108
| ~ spl6_344 ),
inference(sat_conversion,[],[f16238]) ).
cnf(s962,plain,
( spl6_113
| ~ spl6_343 ),
inference(sat_conversion,[],[f23746]) ).
cnf(s1071,plain,
( spl6_106
| ~ spl6_345 ),
inference(sat_conversion,[],[f25131]) ).
cnf(s1081,plain,
( ~ spl6_111
| spl6_108 ),
inference(rat,[],[s269,s293]) ).
cnf(s1082,plain,
( spl6_108
| spl6_106 ),
inference(rat,[],[s1081,s543,s467,s612,s1071,s962,s446]) ).
cnf(s1083,plain,
~ spl6_108,
inference(rat,[],[s123,s124]) ).
cnf(s1087,plain,
spl6_106,
inference(rat,[],[s1082,s1083]) ).
cnf(s1094,plain,
~ spl6_113,
inference(rat,[],[s113,s1087]) ).
cnf(s1095,plain,
$false,
inference(rat,[],[s111,s1094,s1087]) ).
fof(f25136,plain,
$false,
inference(avatar_sat_refutation,[],[s1095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO535+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 08:29:10 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39 Running first-order model finding
% 0.08/0.39 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
% 6.14/1.37 % (200309)Will run a generic schedule for satisfiability detection.
% 6.14/1.37 % (200317)dis+10_1_sil=32000:sp=arity:random_seed=3777036964:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.14/1.37 % (200315)% WARNING: option uhcvi not known.
% 6.14/1.37 % (200314)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3154014113_2999 on theBenchmark for (2999ds/0Mi)
% 6.14/1.37 % (200315)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1515393921:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.14/1.37 % (200316)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1750663192:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.14/1.37 % (200318)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3100910681:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.14/1.37 % (200319)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3013566179:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.14/1.37 % (200320)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2254378247:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.14/1.37 % Detected minimum model sizes of [3]
% 6.14/1.37 % Detected maximum model sizes of [max]
% 6.14/1.37 % TRYING [3]
% 6.14/1.37 % (200317)Instruction limit reached!
% 6.14/1.37 % (200317)------------------------------
% 6.14/1.37 % (200317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200317)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200317)Termination reason: Instruction limit
% 6.14/1.37 % (200317)Termination phase: Saturation
% 6.14/1.37 % (200317)Time elapsed: 0.035 s
% 6.14/1.37 % (200317)Peak memory usage: 13 MB
% 6.14/1.37 % (200317)Instructions burned: 103 (million)
% 6.14/1.37 % (200328)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3445053985:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.14/1.37 % Detected minimum model sizes of [3]
% 6.14/1.37 % Detected maximum model sizes of [max]
% 6.14/1.37 % TRYING [3]
% 6.14/1.37 % (200318)Instruction limit reached!
% 6.14/1.37 % (200318)------------------------------
% 6.14/1.37 % (200318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200318)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200318)Termination reason: Instruction limit
% 6.14/1.37 % (200318)Termination phase: Saturation
% 6.14/1.37 % (200318)Time elapsed: 0.068 s
% 6.14/1.37 % (200318)Peak memory usage: 13 MB
% 6.14/1.37 % (200318)Instructions burned: 117 (million)
% 6.14/1.37 % (200319)Instruction limit reached!
% 6.14/1.37 % (200319)------------------------------
% 6.14/1.37 % (200319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200319)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200319)Termination reason: Instruction limit
% 6.14/1.37 % (200319)Termination phase: Saturation
% 6.14/1.37 % (200319)Time elapsed: 0.082 s
% 6.14/1.37 % (200319)Peak memory usage: 13 MB
% 6.14/1.37 % (200319)Instructions burned: 133 (million)
% 6.14/1.37 % (200330)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=179513292:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.14/1.37 % (200320)Instruction limit reached!
% 6.14/1.37 % (200320)------------------------------
% 6.14/1.37 % (200320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200320)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200320)Termination reason: Instruction limit
% 6.14/1.37 % (200320)Termination phase: Saturation
% 6.14/1.37 % (200320)Time elapsed: 0.096 s
% 6.14/1.37 % (200320)Peak memory usage: 14 MB
% 6.14/1.37 % (200320)Instructions burned: 160 (million)
% 6.14/1.37 % (200331)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3351032528:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.14/1.37 % (200333)ott-21_1_sil=16000:fs=off:random_seed=233080835:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.14/1.37 % (200330)Instruction limit reached!
% 6.14/1.37 % (200330)------------------------------
% 6.14/1.37 % (200330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200330)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200330)Termination reason: Instruction limit
% 6.14/1.37 % (200330)Termination phase: Saturation
% 6.14/1.37 % (200330)Time elapsed: 0.070 s
% 6.14/1.37 % (200330)Peak memory usage: 13 MB
% 6.14/1.37 % (200330)Instructions burned: 131 (million)
% 6.14/1.37 % (200328)Instruction limit reached!
% 6.14/1.37 % (200328)------------------------------
% 6.14/1.37 % (200328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200328)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200328)Termination reason: Instruction limit
% 6.14/1.37 % (200328)Termination phase: Finite model building constraint generation
% 6.14/1.37 % (200328)Time elapsed: 0.137 s
% 6.14/1.37 % (200328)Peak memory usage: 31 MB
% 6.14/1.37 % (200328)Instructions burned: 718 (million)
% 6.14/1.37 % (200336)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1471870566:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.14/1.37 % (200337)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2213375153:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.14/1.37 % Detected minimum model sizes of [3]
% 6.14/1.37 % Detected maximum model sizes of [max]
% 6.14/1.37 % (200333)Instruction limit reached!
% 6.14/1.37 % (200333)------------------------------
% 6.14/1.37 % (200333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200333)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200333)Termination reason: Instruction limit
% 6.14/1.37 % (200333)Termination phase: Saturation
% 6.14/1.37 % (200333)Time elapsed: 0.086 s
% 6.14/1.37 % (200333)Peak memory usage: 13 MB
% 6.14/1.37 % (200333)Instructions burned: 180 (million)
% 6.14/1.37 % TRYING [3]
% 6.14/1.37 % (200340)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3503212442:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.14/1.37 % TRYING [4]
% 6.14/1.37 % (200337)Instruction limit reached!
% 6.14/1.37 % (200337)------------------------------
% 6.14/1.37 % (200337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200337)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200337)Termination reason: Instruction limit
% 6.14/1.37 % (200337)Termination phase: Finite model building constraint generation
% 6.14/1.37 % (200337)Time elapsed: 0.268 s
% 6.14/1.37 % (200337)Peak memory usage: 58 MB
% 6.14/1.37 % (200337)Instructions burned: 866 (million)
% 6.14/1.37 % (200342)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3916396846:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.14/1.37 % (200336)Instruction limit reached!
% 6.14/1.37 % (200336)------------------------------
% 6.14/1.37 % (200336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200336)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200336)Termination reason: Instruction limit
% 6.14/1.37 % (200336)Termination phase: Saturation
% 6.14/1.37 % (200336)Time elapsed: 0.298 s
% 6.14/1.37 % (200336)Peak memory usage: 15 MB
% 6.14/1.37 % (200336)Instructions burned: 478 (million)
% 6.14/1.37 % (200342)Cannot represent all propositional literals internally
% 6.14/1.37 % (200342)Refutation not found, incomplete strategy
% 6.14/1.37 % (200342)------------------------------
% 6.14/1.37 % (200342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200342)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200342)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.37 % (200342)Time elapsed: 0.010 s
% 6.14/1.37 % (200342)Peak memory usage: 11 MB
% 6.14/1.37 % (200342)Instructions burned: 41 (million)
% 6.14/1.37 % (200342)------------------------------
% 6.14/1.37 % (200342)------------------------------
% 6.14/1.37 % (200344)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3006673162:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.14/1.37 % (200345)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3884078734:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.14/1.37 % (200331)Instruction limit reached!
% 6.14/1.37 % (200331)------------------------------
% 6.14/1.37 % (200331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200331)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200331)Termination reason: Instruction limit
% 6.14/1.37 % (200331)Termination phase: Saturation
% 6.14/1.37 % (200331)Time elapsed: 0.418 s
% 6.14/1.37 % (200331)Peak memory usage: 19 MB
% 6.14/1.37 % (200331)Instructions burned: 684 (million)
% 6.14/1.37 % (200348)fmb+10_1_sil=64000:random_seed=4277347484:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.14/1.37 % Detected minimum model sizes of [3]
% 6.14/1.37 % Detected maximum model sizes of [max]
% 6.14/1.37 % TRYING [3]
% 6.14/1.37 % (200345)Instruction limit reached!
% 6.14/1.37 % (200345)------------------------------
% 6.14/1.37 % (200345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200345)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200345)Termination reason: Instruction limit
% 6.14/1.37 % (200345)Termination phase: Saturation
% 6.14/1.37 % (200345)Time elapsed: 0.274 s
% 6.14/1.37 % (200345)Peak memory usage: 21 MB
% 6.14/1.37 % (200345)Instructions burned: 880 (million)
% 6.14/1.37 % (200350)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=334987076:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.14/1.37 % Detected minimum model sizes of [3]
% 6.14/1.37 % Detected maximum model sizes of [max]
% 6.14/1.37 % (200350)Cannot represent all propositional literals internally
% 6.14/1.37 % (200350)Refutation not found, incomplete strategy
% 6.14/1.37 % (200350)------------------------------
% 6.14/1.37 % (200350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200350)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200350)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.37 % (200350)Time elapsed: 0.011 s
% 6.14/1.37 % (200350)Peak memory usage: 11 MB
% 6.14/1.37 % (200350)Instructions burned: 42 (million)
% 6.14/1.37 % (200350)------------------------------
% 6.14/1.37 % (200350)------------------------------
% 6.14/1.37 % (200352)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2114757495:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 6.14/1.37 % Detected minimum model sizes of [3]
% 6.14/1.37 % Detected maximum model sizes of [max]
% 6.14/1.37 % TRYING [8]
% 6.14/1.37 % (200315) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-200309-200315"...
% 6.14/1.37 % (200315)...printing done.
% 6.14/1.37 % (200315)Refutation found. Thanks to Tanya!
% 6.14/1.37 % SZS status Theorem for theBenchmark
% 6.14/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 6.14/1.37 % (200315)------------------------------
% 6.14/1.37 % (200315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.37 % (200315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.37 % (200315)CaDiCaL version: 2.1.3
% 6.14/1.37 % (200315)Termination reason: Refutation
% 6.14/1.37 % (200315)Time elapsed: 0.903 s
% 6.14/1.37 % (200315)Peak memory usage: 22 MB
% 6.14/1.37 % (200315)Instructions burned: 1572 (million)
% 6.14/1.37 % (200309)Success in time 0.967 s
% 6.14/1.37 % Vampire exiting
%------------------------------------------------------------------------------