%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO657-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 02:32:19 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 114 ( 10 unt; 7 def)
% Number of atoms : 334 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 385 ( 165 ~; 213 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f2,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X0))))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_45) ).
fof(f3,axiom,
! [X0] : 'LE'(f(X0),s(s('0'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f4,axiom,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f7,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f8,axiom,
! [X0] :
( ~ 'LE'(f(X0),s('0'))
| 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
fof(f9,axiom,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_41) ).
fof(f11,axiom,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f12,axiom,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X1))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'('0',f(suc(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_43) ).
fof(f13,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s('0'))
| 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_40) ).
fof(f14,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s('0'))
| 'E'('0',f(suc(suc(X0))))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51) ).
fof(f15,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f16,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s('0')))
| 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
fof(f17,axiom,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_52) ).
fof(f18,axiom,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f20,axiom,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
fof(f21,plain,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f9,f11]) ).
fof(f22,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f2,f3]) ).
fof(f23,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f8,f22]) ).
fof(f24,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(X0)))
| 'E'(s('0'),f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f13,f22]) ).
fof(f25,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f7,f3]) ).
fof(f26,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f25,f8]) ).
fof(f27,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(X0)))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f25,f13]) ).
fof(f28,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(suc(X0))))
| 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f14,f25]) ).
fof(f29,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(suc(X0))))
| 'E'(s('0'),f(suc(suc(suc(suc(X0)))))) ),
inference(resolution,[],[f14,f22]) ).
fof(f30,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(z)) ),
inference(resolution,[],[f26,f15]) ).
fof(f32,definition,
( spl0_1
<=> 'E'(s('0'),f(z)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f34,plain,
( 'E'(s('0'),f(z))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f36,definition,
( spl0_2
<=> 'E'('0',f(z)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f37,plain,
( ~ 'E'('0',f(z))
| spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f38,plain,
( 'E'('0',f(z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
fof(f40,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f16,f3]) ).
fof(f41,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f40,f8]) ).
fof(f42,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(X0)))
| 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f40,f13]) ).
fof(f43,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(suc(X0))))
| 'E'(s('0'),f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f40,f14]) ).
fof(f44,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f41,f15]) ).
fof(f45,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f23,f15]) ).
fof(f46,plain,
( 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f27,f15]) ).
fof(f48,definition,
( spl0_3
<=> 'E'(s('0'),f(suc(z))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f49,plain,
( ~ 'E'(s('0'),f(suc(z)))
| spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl0_4
<=> 'E'('0',f(suc(z))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f53,plain,
( ~ 'E'('0',f(suc(z)))
| spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
fof(f59,plain,
! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f1,f11]) ).
fof(f60,plain,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f65,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f17,f4]) ).
fof(f70,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f74,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X0)))) ),
inference(resolution,[],[f12,f21]) ).
fof(f77,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0))) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f80,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) ),
inference(forward_subsumption_resolution,[],[f77,f60]) ).
fof(f82,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f20,f18]) ).
fof(f89,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0))) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f91,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0))) ),
inference(forward_subsumption_resolution,[],[f89,f70]) ).
fof(f92,plain,
( 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f42,f15]) ).
fof(f94,definition,
( spl0_5
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f95,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f92,f52,f94]) ).
fof(f98,plain,
( 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f24,f15]) ).
fof(f105,plain,
( 'E'('0',f(suc(suc(z))))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f28,f15]) ).
fof(f107,definition,
( spl0_7
<=> 'E'('0',f(suc(suc(z)))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f108,plain,
( ~ 'E'('0',f(suc(suc(z))))
| spl0_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( 'E'('0',f(suc(suc(z))))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f105,f107,f94]) ).
fof(f111,plain,
( 'E'('0',f(suc(suc(z))))
| 'E'(s('0'),f(suc(suc(suc(suc(z)))))) ),
inference(resolution,[],[f29,f15]) ).
fof(f113,definition,
( spl0_8
<=> 'E'(s('0'),f(suc(suc(suc(suc(z)))))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f115,plain,
( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f111,f107,f113]) ).
fof(f117,plain,
( ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(z)))
| ~ spl0_7 ),
inference(resolution,[],[f109,f80]) ).
fof(f118,plain,
( ~ 'E'('0',f(suc(z)))
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f117,f38]) ).
fof(f119,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f118,f54]) ).
fof(f120,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f121,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f98,f53]) ).
fof(f122,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(suc(z))))
| spl0_4 ),
inference(resolution,[],[f121,f91]) ).
fof(f123,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_3
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f122,f50]) ).
fof(f124,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f123,f96]) ).
fof(f125,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f126,plain,
( 'E'('0',f(suc(suc(z))))
| 'E'(s('0'),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f43,f15]) ).
fof(f127,plain,
( ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_5 ),
inference(resolution,[],[f96,f91]) ).
fof(f128,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f127,f34]) ).
fof(f131,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f126,f108]) ).
fof(f132,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(suc(suc(z)))))
| ~ spl0_8 ),
inference(resolution,[],[f115,f91]) ).
fof(f133,plain,
( ~ 'E'(s('0'),f(suc(suc(suc(z)))))
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f132,f96]) ).
fof(f134,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f133,f131]) ).
fof(f135,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f136,plain,
( ~ spl0_3
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f128,f94,f32,f48]) ).
fof(f137,plain,
( 'E'(s('0'),f(suc(z)))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f44,f37]) ).
fof(f138,plain,
( $false
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f137,f49]) ).
fof(f139,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f140,plain,
( 'E'(s('0'),f(suc(suc(z))))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f45,f37]) ).
fof(f141,plain,
( $false
| spl0_2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f140,f95]) ).
fof(f142,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f141]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f55]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f97]) ).
cnf(s5,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f110]) ).
cnf(s6,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f116]) ).
cnf(s7,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f120]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f125]) ).
cnf(s10,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f135]) ).
cnf(s11,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f139]) ).
cnf(s13,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f142]) ).
cnf(s14,plain,
spl0_7,
inference(rat,[],[s10,s5,s6]) ).
cnf(s15,plain,
spl0_4,
inference(rat,[],[s8,s2,s3]) ).
cnf(s16,plain,
~ spl0_2,
inference(rat,[],[s7,s14,s15]) ).
cnf(s17,plain,
spl0_5,
inference(rat,[],[s13,s16]) ).
cnf(s18,plain,
spl0_3,
inference(rat,[],[s12,s16]) ).
cnf(s19,plain,
spl0_1,
inference(rat,[],[s1,s16]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s11,s17,s19,s18]) ).
fof(f143,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO657-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n001.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 18:07:18 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.21/0.27 % (580679)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (580686)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=609835928:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (580685)% WARNING: option uhcvi not known.
% 0.21/0.27 % (580685)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3925086937:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (580687)dis+10_1_sil=32000:sp=arity:random_seed=2000941850:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (580684)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=505755194_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (580688)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=690663166:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (580690)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2021171229:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.27 % (580689)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1517983198:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27 % (580688) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-580679-580688"...
% 0.21/0.27 % (580689) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-580679-580689"...
% 0.21/0.27 % (580685) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-580679-580685"...
% 0.21/0.27 % (580687) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-580679-580687"...
% 0.21/0.27 % (580688)...printing done.
% 0.21/0.27 % (580686) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-580679-580686"...
% 0.21/0.27 % (580688)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (580688)------------------------------
% 0.21/0.27 % (580688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (580688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (580688)CaDiCaL version: 2.1.3
% 0.21/0.27 % (580688)Termination reason: Refutation
% 0.21/0.27 % (580688)Time elapsed: 0.005 s
% 0.21/0.27 % (580688)Peak memory usage: 12 MB
% 0.21/0.27 % (580688)Instructions burned: 8 (million)
% 0.21/0.27 % (580679)Success in time 0.041 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------