%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 11:42:24 AM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 37
% Syntax : Number of formulae : 161 ( 55 unt; 13 def)
% Number of atoms : 494 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 563 ( 230 ~; 230 |; 77 &)
% ( 25 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 14 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 45 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f16,axiom,
! [X0] :
( cC110(X0)
<=> ( cC102xcomp(X0)
& cC108xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f22,axiom,
! [X0] :
( cC114(X0)
<=> ( cC112xcomp(X0)
& cC96xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,axiom,
! [X0] :
( cC116(X0)
<=> ( cC114(X0)
& cC80(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f43,axiom,
! [X0] :
( cC136(X0)
<=> ( cC134xcomp(X0)
& cC116(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f94,axiom,
! [X0] :
( cC56(X0)
<=> ( cC4(X0)
& cC10xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).
fof(f95,axiom,
! [X0] :
( cC58(X0)
<=> ( cC34(X0)
& cC56(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).
fof(f118,axiom,
! [X0] :
( cC80(X0)
<=> ( cC78xcomp(X0)
& cC76xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).
fof(f137,axiom,
! [X0] :
( cC94(X0)
<=> ( cC86xcomp(X0)
& cC92xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).
fof(f148,axiom,
cC102xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).
fof(f149,axiom,
cC108xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).
fof(f150,axiom,
cC4(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
fof(f152,axiom,
cC112xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).
fof(f153,axiom,
cC76xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_152) ).
fof(f154,axiom,
cC96xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).
fof(f159,axiom,
cC78xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_158) ).
fof(f161,axiom,
cC134xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_160) ).
fof(f162,axiom,
cC86xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).
fof(f163,axiom,
cC34(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).
fof(f167,axiom,
cowlThing(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_166) ).
fof(f168,axiom,
cC10xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_167) ).
fof(f169,axiom,
cC92xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
fof(f170,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f171,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(negated_conjecture,[status(cth)],[f170]) ).
fof(f172,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(rectify,[],[f171]) ).
fof(f220,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(ennf_transformation,[],[f172]) ).
fof(f221,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f256,plain,
! [X0] :
( ( cC110(X0)
| ~ cC102xcomp(X0)
| ~ cC108xcomp(X0) )
& ( ( cC102xcomp(X0)
& cC108xcomp(X0) )
| ~ cC110(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f257,plain,
! [X0] :
( ( cC110(X0)
| ~ cC102xcomp(X0)
| ~ cC108xcomp(X0) )
& ( ( cC102xcomp(X0)
& cC108xcomp(X0) )
| ~ cC110(X0) ) ),
inference(flattening,[],[f256]) ).
fof(f272,plain,
! [X0] :
( ( cC114(X0)
| ~ cC112xcomp(X0)
| ~ cC96xcomp(X0) )
& ( ( cC112xcomp(X0)
& cC96xcomp(X0) )
| ~ cC114(X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f273,plain,
! [X0] :
( ( cC114(X0)
| ~ cC112xcomp(X0)
| ~ cC96xcomp(X0) )
& ( ( cC112xcomp(X0)
& cC96xcomp(X0) )
| ~ cC114(X0) ) ),
inference(flattening,[],[f272]) ).
fof(f274,plain,
! [X0] :
( ( cC116(X0)
| ~ cC114(X0)
| ~ cC80(X0) )
& ( ( cC114(X0)
& cC80(X0) )
| ~ cC116(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f275,plain,
! [X0] :
( ( cC116(X0)
| ~ cC114(X0)
| ~ cC80(X0) )
& ( ( cC114(X0)
& cC80(X0) )
| ~ cC116(X0) ) ),
inference(flattening,[],[f274]) ).
fof(f319,plain,
! [X0] :
( ( cC136(X0)
| ~ cC134xcomp(X0)
| ~ cC116(X0) )
& ( ( cC134xcomp(X0)
& cC116(X0) )
| ~ cC136(X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f320,plain,
! [X0] :
( ( cC136(X0)
| ~ cC134xcomp(X0)
| ~ cC116(X0) )
& ( ( cC134xcomp(X0)
& cC116(X0) )
| ~ cC136(X0) ) ),
inference(flattening,[],[f319]) ).
fof(f435,plain,
! [X0] :
( ( cC56(X0)
| ~ cC4(X0)
| ~ cC10xcomp(X0) )
& ( ( cC4(X0)
& cC10xcomp(X0) )
| ~ cC56(X0) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f436,plain,
! [X0] :
( ( cC56(X0)
| ~ cC4(X0)
| ~ cC10xcomp(X0) )
& ( ( cC4(X0)
& cC10xcomp(X0) )
| ~ cC56(X0) ) ),
inference(flattening,[],[f435]) ).
fof(f437,plain,
! [X0] :
( ( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) )
& ( ( cC34(X0)
& cC56(X0) )
| ~ cC58(X0) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f438,plain,
! [X0] :
( ( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) )
& ( ( cC34(X0)
& cC56(X0) )
| ~ cC58(X0) ) ),
inference(flattening,[],[f437]) ).
fof(f485,plain,
! [X0] :
( ( cC80(X0)
| ~ cC78xcomp(X0)
| ~ cC76xcomp(X0) )
& ( ( cC78xcomp(X0)
& cC76xcomp(X0) )
| ~ cC80(X0) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f486,plain,
! [X0] :
( ( cC80(X0)
| ~ cC78xcomp(X0)
| ~ cC76xcomp(X0) )
& ( ( cC78xcomp(X0)
& cC76xcomp(X0) )
| ~ cC80(X0) ) ),
inference(flattening,[],[f485]) ).
fof(f527,plain,
! [X0] :
( ( cC94(X0)
| ~ cC86xcomp(X0)
| ~ cC92xcomp(X0) )
& ( ( cC86xcomp(X0)
& cC92xcomp(X0) )
| ~ cC94(X0) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f528,plain,
! [X0] :
( ( cC94(X0)
| ~ cC86xcomp(X0)
| ~ cC92xcomp(X0) )
& ( ( cC86xcomp(X0)
& cC92xcomp(X0) )
| ~ cC94(X0) ) ),
inference(flattening,[],[f527]) ).
fof(f548,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(nnf_transformation,[],[f220]) ).
fof(f549,plain,
( ~ cowlThing(sK80)
| cowlNothing(sK80)
| ( ( xsd_integer(sK81)
| ~ xsd_string(sK81) )
& ( ~ xsd_integer(sK81)
| xsd_string(sK81) ) )
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81]),skolemize(X0,sK80),skolemize(X1,sK81)],[f548]) ).
fof(f550,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f551,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f552,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f553,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f586,plain,
! [X0] :
( ~ cC108xcomp(X0)
| ~ cC102xcomp(X0)
| cC110(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f600,plain,
! [X0] :
( ~ cC96xcomp(X0)
| ~ cC112xcomp(X0)
| cC114(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f603,plain,
! [X0] :
( ~ cC80(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f651,plain,
! [X0] :
( ~ cC134xcomp(X0)
| cC136(X0)
| ~ cC116(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f756,plain,
! [X0] :
( ~ cC4(X0)
| cC56(X0)
| ~ cC10xcomp(X0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f759,plain,
! [X0] :
( ~ cC56(X0)
| ~ cC34(X0)
| cC58(X0) ),
inference(cnf_transformation,[],[f438]) ).
fof(f808,plain,
! [X0] :
( ~ cC78xcomp(X0)
| cC80(X0)
| ~ cC76xcomp(X0) ),
inference(cnf_transformation,[],[f486]) ).
fof(f849,plain,
! [X0] :
( ~ cC92xcomp(X0)
| ~ cC86xcomp(X0)
| cC94(X0) ),
inference(cnf_transformation,[],[f528]) ).
fof(f868,plain,
cC102xcomp(iV822576),
inference(cnf_transformation,[],[f148]) ).
fof(f869,plain,
cC108xcomp(iV822576),
inference(cnf_transformation,[],[f149]) ).
fof(f870,plain,
cC4(iV822576),
inference(cnf_transformation,[],[f150]) ).
fof(f872,plain,
cC112xcomp(iV822576),
inference(cnf_transformation,[],[f152]) ).
fof(f873,plain,
cC76xcomp(iV822576),
inference(cnf_transformation,[],[f153]) ).
fof(f874,plain,
cC96xcomp(iV822576),
inference(cnf_transformation,[],[f154]) ).
fof(f879,plain,
cC78xcomp(iV822576),
inference(cnf_transformation,[],[f159]) ).
fof(f881,plain,
cC134xcomp(iV822576),
inference(cnf_transformation,[],[f161]) ).
fof(f882,plain,
cC86xcomp(iV822576),
inference(cnf_transformation,[],[f162]) ).
fof(f883,plain,
cC34(iV822576),
inference(cnf_transformation,[],[f163]) ).
fof(f887,plain,
cowlThing(iV822576),
inference(cnf_transformation,[],[f167]) ).
fof(f888,plain,
cC10xcomp(iV822576),
inference(cnf_transformation,[],[f168]) ).
fof(f889,plain,
cC92xcomp(iV822576),
inference(cnf_transformation,[],[f169]) ).
fof(f890,plain,
( ~ cowlThing(sK80)
| cowlNothing(sK80)
| ~ xsd_integer(sK81)
| xsd_string(sK81)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(cnf_transformation,[],[f549]) ).
fof(f891,plain,
( ~ cowlThing(sK80)
| cowlNothing(sK80)
| xsd_integer(sK81)
| ~ xsd_string(sK81)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(cnf_transformation,[],[f549]) ).
fof(f893,definition,
( spl82_1
<=> cC56(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_1])],[avatar_definition]) ).
fof(f894,plain,
( cC56(iV822576)
| ~ spl82_1 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f895,plain,
( ~ cC56(iV822576)
| spl82_1 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f897,definition,
( spl82_2
<=> cC136(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_2])],[avatar_definition]) ).
fof(f901,definition,
( spl82_3
<=> cC110(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_3])],[avatar_definition]) ).
fof(f905,definition,
( spl82_4
<=> cC80(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_4])],[avatar_definition]) ).
fof(f906,plain,
( cC80(iV822576)
| ~ spl82_4 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f909,definition,
( spl82_5
<=> cC94(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_5])],[avatar_definition]) ).
fof(f911,plain,
( ~ cC94(iV822576)
| spl82_5 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f913,definition,
( spl82_6
<=> cowlThing(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_6])],[avatar_definition]) ).
fof(f917,definition,
( spl82_7
<=> cC114(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_7])],[avatar_definition]) ).
fof(f918,plain,
( cC114(iV822576)
| ~ spl82_7 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f921,definition,
( spl82_8
<=> cC116(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_8])],[avatar_definition]) ).
fof(f923,plain,
( ~ cC116(iV822576)
| spl82_8 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f925,definition,
( spl82_9
<=> cC58(iV822576) ),
introduced(definition,[new_symbols(definition,[spl82_9])],[avatar_definition]) ).
fof(f929,definition,
( spl82_10
<=> xsd_string(sK81) ),
introduced(definition,[new_symbols(definition,[spl82_10])],[avatar_definition]) ).
fof(f930,plain,
( ~ xsd_string(sK81)
| spl82_10 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f931,plain,
( xsd_string(sK81)
| ~ spl82_10 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f933,definition,
( spl82_11
<=> xsd_integer(sK81) ),
introduced(definition,[new_symbols(definition,[spl82_11])],[avatar_definition]) ).
fof(f934,plain,
( xsd_integer(sK81)
| ~ spl82_11 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f935,plain,
( ~ xsd_integer(sK81)
| spl82_11 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f937,definition,
( spl82_12
<=> cowlNothing(sK80) ),
introduced(definition,[new_symbols(definition,[spl82_12])],[avatar_definition]) ).
fof(f939,plain,
( cowlNothing(sK80)
| ~ spl82_12 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f941,definition,
( spl82_13
<=> cowlThing(sK80) ),
introduced(definition,[new_symbols(definition,[spl82_13])],[avatar_definition]) ).
fof(f943,plain,
( ~ cowlThing(sK80)
| spl82_13 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f944,plain,
( ~ spl82_1
| ~ spl82_2
| ~ spl82_3
| ~ spl82_4
| ~ spl82_5
| ~ spl82_6
| ~ spl82_7
| ~ spl82_8
| ~ spl82_9
| spl82_10
| ~ spl82_11
| spl82_12
| ~ spl82_13 ),
inference(avatar_split_clause,[],[f890,f941,f937,f933,f929,f925,f921,f917,f913,f909,f905,f901,f897,f893]) ).
fof(f945,plain,
( ~ spl82_1
| ~ spl82_2
| ~ spl82_3
| ~ spl82_4
| ~ spl82_5
| ~ spl82_6
| ~ spl82_7
| ~ spl82_8
| ~ spl82_9
| ~ spl82_10
| spl82_11
| spl82_12
| ~ spl82_13 ),
inference(avatar_split_clause,[],[f891,f941,f937,f933,f929,f925,f921,f917,f913,f909,f905,f901,f897,f893]) ).
fof(f946,plain,
spl82_6,
inference(avatar_split_clause,[],[f887,f913]) ).
fof(f985,plain,
( ~ cC102xcomp(iV822576)
| cC110(iV822576) ),
inference(resolution,[],[f586,f869]) ).
fof(f987,plain,
cC110(iV822576),
inference(forward_subsumption_resolution,[],[f985,f868]) ).
fof(f988,plain,
spl82_3,
inference(avatar_split_clause,[],[f987,f901]) ).
fof(f996,plain,
( ~ cC112xcomp(iV822576)
| cC114(iV822576) ),
inference(resolution,[],[f600,f874]) ).
fof(f997,plain,
cC114(iV822576),
inference(forward_subsumption_resolution,[],[f996,f872]) ).
fof(f998,plain,
spl82_7,
inference(avatar_split_clause,[],[f997,f917]) ).
fof(f1038,plain,
( cC136(iV822576)
| ~ cC116(iV822576) ),
inference(resolution,[],[f651,f881]) ).
fof(f1040,plain,
( ~ spl82_8
| spl82_2 ),
inference(avatar_split_clause,[],[f1038,f897,f921]) ).
fof(f1077,plain,
( cC56(iV822576)
| ~ cC10xcomp(iV822576) ),
inference(resolution,[],[f756,f870]) ).
fof(f1079,plain,
( ~ cC10xcomp(iV822576)
| spl82_1 ),
inference(forward_subsumption_resolution,[],[f1077,f895]) ).
fof(f1080,plain,
( $false
| spl82_1 ),
inference(forward_subsumption_resolution,[],[f1079,f888]) ).
fof(f1081,plain,
spl82_1,
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1084,plain,
( ~ cC34(iV822576)
| cC58(iV822576)
| ~ spl82_1 ),
inference(resolution,[],[f759,f894]) ).
fof(f1085,plain,
( cC58(iV822576)
| ~ spl82_1 ),
inference(forward_subsumption_resolution,[],[f1084,f883]) ).
fof(f1086,plain,
( spl82_9
| ~ spl82_1 ),
inference(avatar_split_clause,[],[f1085,f893,f925]) ).
fof(f1104,plain,
( cC80(iV822576)
| ~ cC76xcomp(iV822576) ),
inference(resolution,[],[f808,f879]) ).
fof(f1105,plain,
cC80(iV822576),
inference(forward_subsumption_resolution,[],[f1104,f873]) ).
fof(f1106,plain,
spl82_4,
inference(avatar_split_clause,[],[f1105,f905]) ).
fof(f1107,plain,
( ~ cC114(iV822576)
| cC116(iV822576)
| ~ spl82_4 ),
inference(resolution,[],[f906,f603]) ).
fof(f1110,plain,
( cC116(iV822576)
| ~ spl82_4
| ~ spl82_7 ),
inference(forward_subsumption_resolution,[],[f1107,f918]) ).
fof(f1111,plain,
( $false
| ~ spl82_4
| ~ spl82_7
| spl82_8 ),
inference(forward_subsumption_resolution,[],[f1110,f923]) ).
fof(f1112,plain,
( ~ spl82_4
| ~ spl82_7
| spl82_8 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1138,plain,
( ~ cC86xcomp(iV822576)
| cC94(iV822576) ),
inference(resolution,[],[f849,f889]) ).
fof(f1140,plain,
cC94(iV822576),
inference(forward_subsumption_resolution,[],[f1138,f882]) ).
fof(f1141,plain,
( $false
| spl82_5 ),
inference(forward_subsumption_resolution,[],[f1140,f911]) ).
fof(f1142,plain,
spl82_5,
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1143,plain,
( $false
| spl82_13 ),
inference(forward_subsumption_resolution,[],[f943,f551]) ).
fof(f1144,plain,
spl82_13,
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1147,plain,
( xsd_string(sK81)
| spl82_11 ),
inference(resolution,[],[f935,f553]) ).
fof(f1148,plain,
( $false
| spl82_10
| spl82_11 ),
inference(forward_subsumption_resolution,[],[f1147,f930]) ).
fof(f1149,plain,
( spl82_10
| spl82_11 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1150,plain,
( $false
| ~ spl82_12 ),
inference(forward_subsumption_resolution,[],[f939,f550]) ).
fof(f1151,plain,
~ spl82_12,
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1152,plain,
( ~ xsd_string(sK81)
| ~ spl82_11 ),
inference(resolution,[],[f934,f552]) ).
fof(f1153,plain,
( $false
| ~ spl82_10
| ~ spl82_11 ),
inference(forward_subsumption_resolution,[],[f1152,f931]) ).
fof(f1154,plain,
( ~ spl82_10
| ~ spl82_11 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
cnf(s1,plain,
( ~ spl82_1
| ~ spl82_2
| ~ spl82_3
| ~ spl82_4
| ~ spl82_5
| ~ spl82_6
| ~ spl82_7
| ~ spl82_8
| ~ spl82_9
| spl82_10
| ~ spl82_11
| spl82_12
| ~ spl82_13 ),
inference(sat_conversion,[],[f944]) ).
cnf(s2,plain,
( ~ spl82_1
| ~ spl82_2
| ~ spl82_3
| ~ spl82_4
| ~ spl82_5
| ~ spl82_6
| ~ spl82_7
| ~ spl82_8
| ~ spl82_9
| ~ spl82_10
| spl82_11
| spl82_12
| ~ spl82_13 ),
inference(sat_conversion,[],[f945]) ).
cnf(s3,plain,
spl82_6,
inference(sat_conversion,[],[f946]) ).
cnf(s5,plain,
spl82_3,
inference(sat_conversion,[],[f988]) ).
cnf(s6,plain,
spl82_7,
inference(sat_conversion,[],[f998]) ).
cnf(s9,plain,
( spl82_2
| ~ spl82_8 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s10,plain,
spl82_1,
inference(sat_conversion,[],[f1081]) ).
cnf(s11,plain,
( ~ spl82_1
| spl82_9 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s12,plain,
spl82_4,
inference(sat_conversion,[],[f1106]) ).
cnf(s13,plain,
( ~ spl82_4
| ~ spl82_7
| spl82_8 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s14,plain,
spl82_5,
inference(sat_conversion,[],[f1142]) ).
cnf(s15,plain,
spl82_13,
inference(sat_conversion,[],[f1144]) ).
cnf(s16,plain,
( spl82_10
| spl82_11 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s17,plain,
~ spl82_12,
inference(sat_conversion,[],[f1151]) ).
cnf(s18,plain,
( ~ spl82_10
| ~ spl82_11 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s19,plain,
spl82_9,
inference(rat,[],[s11,s10]) ).
cnf(s20,plain,
spl82_8,
inference(rat,[],[s13,s12,s6]) ).
cnf(s21,plain,
spl82_2,
inference(rat,[],[s9,s20]) ).
cnf(s22,plain,
( ~ spl82_10
| spl82_11 ),
inference(rat,[],[s2,s15,s17,s19,s20,s6,s3,s14,s12,s5,s21,s10]) ).
cnf(s23,plain,
( spl82_10
| ~ spl82_11 ),
inference(rat,[],[s1,s15,s17,s19,s20,s6,s3,s14,s12,s5,s21,s10]) ).
cnf(s24,plain,
spl82_10,
inference(rat,[],[s23,s16]) ).
cnf(s25,plain,
~ spl82_11,
inference(rat,[],[s18,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s22,s25,s24]) ).
fof(f1155,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:32:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % (3389226)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (3389236)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3892242472:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (3389232)% WARNING: option uhcvi not known.
% 0.11/0.46 % (3389236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3389226-3389236"...
% 0.11/0.46 % (3389234)dis+10_1_sil=32000:sp=arity:random_seed=29278078:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (3389231)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1754066765_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (3389232)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=209768440:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (3389233)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2401054684:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (3389235)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=696272674:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (3389237)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2581674590:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (3389236)...printing done.
% 0.11/0.46 % (3389236)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.47 % (3389236)------------------------------
% 0.11/0.47 % (3389236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.47 % (3389236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.47 % (3389236)CaDiCaL version: 2.1.3
% 0.11/0.47 % (3389236)Termination reason: Refutation
% 0.11/0.47 % (3389236)Time elapsed: 0.007 s
% 0.11/0.47 % (3389236)Peak memory usage: 13 MB
% 0.11/0.47 % (3389236)Instructions burned: 18 (million)
% 0.11/0.47 % (3389226)Success in time 0.04 s
% 0.11/0.47 % Vampire exiting
%------------------------------------------------------------------------------