%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL217-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:51:36 AM UTC 2026
% Result : Unsatisfiable 8.89s 2.24s
% Output : Refutation 9.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 150 ( 61 unt; 24 def)
% Number of atoms : 291 ( 31 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 270 ( 129 ~; 125 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 17 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(p,q),implies(implies(p,not(q)),not(p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f15,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p)))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6]) ).
fof(f17,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
not(p) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
not(q) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = or(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
or(sF0,sF3) = sF4,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f28,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF6 = or(sF5,sF0),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
or(sF5,sF0) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF7 = or(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f32,plain,
or(sF2,sF6) = sF7,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
~ theorem(sF7),
inference(definition_folding,[],[f16,f32,f30,f18,f28,f26,f24,f18,f22,f20,f18]) ).
fof(f35,definition,
( spl8_1
<=> theorem(sF7) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f37,plain,
( ~ theorem(sF7)
| spl8_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
~ spl8_1,
inference(avatar_split_clause,[],[f33,f35]) ).
fof(f45,definition,
( spl8_3
<=> or(sF0,q) = sF1 ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f47,plain,
( or(sF0,q) = sF1
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
spl8_3,
inference(avatar_split_clause,[],[f20,f45]) ).
fof(f50,definition,
( spl8_4
<=> not(sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f52,plain,
( not(sF1) = sF2
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
spl8_4,
inference(avatar_split_clause,[],[f22,f50]) ).
fof(f55,definition,
( spl8_5
<=> not(q) = sF3 ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f57,plain,
( not(q) = sF3
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
spl8_5,
inference(avatar_split_clause,[],[f24,f55]) ).
fof(f60,definition,
( spl8_6
<=> or(sF0,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f62,plain,
( or(sF0,sF3) = sF4
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,plain,
spl8_6,
inference(avatar_split_clause,[],[f26,f60]) ).
fof(f65,definition,
( spl8_7
<=> not(sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f67,plain,
( not(sF4) = sF5
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
spl8_7,
inference(avatar_split_clause,[],[f28,f65]) ).
fof(f70,definition,
( spl8_8
<=> or(sF5,sF0) = sF6 ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f72,plain,
( or(sF5,sF0) = sF6
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
spl8_8,
inference(avatar_split_clause,[],[f30,f70]) ).
fof(f75,definition,
( spl8_9
<=> or(sF2,sF6) = sF7 ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f77,plain,
( or(sF2,sF6) = sF7
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
spl8_9,
inference(avatar_split_clause,[],[f32,f75]) ).
fof(f79,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f80,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f116,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f118,plain,
( axiom(or(not(sF4),or(sF3,sF0)))
| ~ spl8_6 ),
inference(superposition,[],[f12,f62]) ).
fof(f155,plain,
( axiom(or(sF5,or(sF3,sF0)))
| ~ spl8_6
| ~ spl8_7 ),
inference(forward_demodulation,[],[f118,f67]) ).
fof(f158,definition,
( spl8_21
<=> axiom(or(sF5,or(sF3,sF0))) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f160,plain,
( axiom(or(sF5,or(sF3,sF0)))
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl8_21
| ~ spl8_6
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f155,f65,f60,f158]) ).
fof(f203,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f207,plain,
( ! [X0] : axiom(or(not(or(X0,sF7)),or(sF2,or(X0,sF6))))
| ~ spl8_9 ),
inference(superposition,[],[f13,f77]) ).
fof(f210,plain,
( ! [X0] : axiom(or(not(or(sF5,or(X0,sF0))),or(X0,sF6)))
| ~ spl8_8 ),
inference(superposition,[],[f13,f72]) ).
fof(f211,plain,
( ! [X0] : axiom(or(not(or(sF2,or(X0,sF6))),or(X0,sF7)))
| ~ spl8_9 ),
inference(superposition,[],[f13,f77]) ).
fof(f217,plain,
( ! [X0] : axiom(or(not(or(not(q),X0)),or(not(sF1),or(sF0,X0))))
| ~ spl8_3 ),
inference(superposition,[],[f14,f47]) ).
fof(f224,plain,
( ! [X0] : axiom(or(not(or(not(X0),sF6)),or(not(or(sF2,X0)),sF7)))
| ~ spl8_9 ),
inference(superposition,[],[f14,f77]) ).
fof(f226,plain,
( ! [X0] : axiom(or(not(or(not(q),X0)),or(sF2,or(sF0,X0))))
| ~ spl8_3
| ~ spl8_4 ),
inference(forward_demodulation,[],[f217,f52]) ).
fof(f227,plain,
( ! [X0] : axiom(or(not(or(sF3,X0)),or(sF2,or(sF0,X0))))
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5 ),
inference(forward_demodulation,[],[f226,f57]) ).
fof(f265,plain,
( theorem(or(sF5,or(sF3,sF0)))
| ~ spl8_21 ),
inference(resolution,[],[f160,f7]) ).
fof(f267,definition,
( spl8_36
<=> theorem(or(sF5,or(sF3,sF0))) ),
introduced(definition,[new_symbols(definition,[spl8_36])],[avatar_definition]) ).
fof(f269,plain,
( theorem(or(sF5,or(sF3,sF0)))
| ~ spl8_36 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl8_36
| ~ spl8_21 ),
inference(avatar_split_clause,[],[f265,f158,f267]) ).
fof(f285,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f80,f15]) ).
fof(f338,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f116,f15]) ).
fof(f396,plain,
( ! [X0] : theorem(or(not(or(X0,sF7)),or(sF2,or(X0,sF6))))
| ~ spl8_9 ),
inference(resolution,[],[f207,f7]) ).
fof(f420,plain,
( ! [X0] : theorem(or(not(or(sF5,or(X0,sF0))),or(X0,sF6)))
| ~ spl8_8 ),
inference(resolution,[],[f210,f7]) ).
fof(f429,plain,
( ! [X0] : theorem(or(not(or(sF2,or(X0,sF6))),or(X0,sF7)))
| ~ spl8_9 ),
inference(resolution,[],[f211,f7]) ).
fof(f438,plain,
( ! [X0] : theorem(or(not(or(sF3,X0)),or(sF2,or(sF0,X0))))
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5 ),
inference(resolution,[],[f227,f7]) ).
fof(f466,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f203,f15]) ).
fof(f647,plain,
( ! [X0] : theorem(or(not(or(not(X0),sF6)),or(not(or(sF2,X0)),sF7)))
| ~ spl8_9 ),
inference(resolution,[],[f224,f7]) ).
fof(f883,plain,
( ! [X0] :
( theorem(or(sF2,or(X0,sF6)))
| ~ theorem(or(X0,sF7)) )
| ~ spl8_9 ),
inference(resolution,[],[f396,f15]) ).
fof(f913,plain,
( ! [X0] :
( ~ theorem(or(sF5,or(X0,sF0)))
| theorem(or(X0,sF6)) )
| ~ spl8_8 ),
inference(resolution,[],[f420,f15]) ).
fof(f924,plain,
( ! [X0] :
( ~ theorem(or(sF2,or(X0,sF6)))
| theorem(or(X0,sF7)) )
| ~ spl8_9 ),
inference(resolution,[],[f429,f15]) ).
fof(f940,plain,
( ! [X0] :
( theorem(or(sF2,or(sF0,X0)))
| ~ theorem(or(sF3,X0)) )
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5 ),
inference(resolution,[],[f438,f15]) ).
fof(f1040,plain,
( theorem(or(sF3,or(sF5,sF0)))
| ~ spl8_36 ),
inference(resolution,[],[f466,f269]) ).
fof(f1045,plain,
( theorem(or(sF3,sF6))
| ~ spl8_8
| ~ spl8_36 ),
inference(forward_demodulation,[],[f1040,f72]) ).
fof(f1092,definition,
( spl8_122
<=> theorem(or(sF3,sF6)) ),
introduced(definition,[new_symbols(definition,[spl8_122])],[avatar_definition]) ).
fof(f1094,plain,
( theorem(or(sF3,sF6))
| ~ spl8_122 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1095,plain,
( spl8_122
| ~ spl8_8
| ~ spl8_36 ),
inference(avatar_split_clause,[],[f1045,f267,f70,f1092]) ).
fof(f1291,plain,
( ! [X0] :
( theorem(or(not(or(sF2,X0)),sF7))
| ~ theorem(or(not(X0),sF6)) )
| ~ spl8_9 ),
inference(resolution,[],[f647,f15]) ).
fof(f1537,plain,
( ! [X0] :
( ~ theorem(or(X0,sF0))
| theorem(or(X0,sF6)) )
| ~ spl8_8 ),
inference(resolution,[],[f913,f285]) ).
fof(f1561,plain,
( ~ theorem(or(sF3,sF6))
| theorem(or(sF0,sF7))
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_9 ),
inference(resolution,[],[f940,f924]) ).
fof(f1566,plain,
( theorem(or(sF0,sF7))
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_9
| ~ spl8_122 ),
inference(forward_subsumption_resolution,[],[f1561,f1094]) ).
fof(f1568,definition,
( spl8_155
<=> theorem(or(sF0,sF7)) ),
introduced(definition,[new_symbols(definition,[spl8_155])],[avatar_definition]) ).
fof(f1570,plain,
( theorem(or(sF0,sF7))
| ~ spl8_155 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1571,plain,
( spl8_155
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_9
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f1566,f1092,f75,f55,f50,f45,f1568]) ).
fof(f1572,plain,
( theorem(or(sF7,sF0))
| ~ spl8_155 ),
inference(resolution,[],[f1570,f338]) ).
fof(f1574,definition,
( spl8_156
<=> theorem(or(sF7,sF0)) ),
introduced(definition,[new_symbols(definition,[spl8_156])],[avatar_definition]) ).
fof(f1576,plain,
( theorem(or(sF7,sF0))
| ~ spl8_156 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1577,plain,
( spl8_156
| ~ spl8_155 ),
inference(avatar_split_clause,[],[f1572,f1568,f1574]) ).
fof(f1775,plain,
( theorem(or(sF7,sF6))
| ~ spl8_8
| ~ spl8_156 ),
inference(resolution,[],[f1537,f1576]) ).
fof(f1778,definition,
( spl8_169
<=> theorem(or(sF7,sF6)) ),
introduced(definition,[new_symbols(definition,[spl8_169])],[avatar_definition]) ).
fof(f1780,plain,
( theorem(or(sF7,sF6))
| ~ spl8_169 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f1781,plain,
( spl8_169
| ~ spl8_8
| ~ spl8_156 ),
inference(avatar_split_clause,[],[f1775,f1574,f70,f1778]) ).
fof(f1800,plain,
( theorem(or(sF6,sF7))
| ~ spl8_169 ),
inference(resolution,[],[f1780,f338]) ).
fof(f1802,definition,
( spl8_173
<=> theorem(or(sF6,sF7)) ),
introduced(definition,[new_symbols(definition,[spl8_173])],[avatar_definition]) ).
fof(f1804,plain,
( theorem(or(sF6,sF7))
| ~ spl8_173 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f1805,plain,
( spl8_173
| ~ spl8_169 ),
inference(avatar_split_clause,[],[f1800,f1778,f1802]) ).
fof(f2139,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF6))
| theorem(sF7)
| ~ theorem(or(sF2,X0)) )
| ~ spl8_9 ),
inference(resolution,[],[f1291,f15]) ).
fof(f2142,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF6))
| ~ theorem(or(sF2,X0)) )
| spl8_1
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f2139,f37]) ).
fof(f2431,plain,
( ~ theorem(or(sF2,or(sF6,sF6)))
| spl8_1
| ~ spl8_9 ),
inference(resolution,[],[f2142,f79]) ).
fof(f2442,definition,
( spl8_233
<=> theorem(or(sF2,or(sF6,sF6))) ),
introduced(definition,[new_symbols(definition,[spl8_233])],[avatar_definition]) ).
fof(f2444,plain,
( ~ theorem(or(sF2,or(sF6,sF6)))
| spl8_233 ),
inference(avatar_component_clause,[],[f2442]) ).
fof(f2445,plain,
( ~ spl8_233
| spl8_1
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f2431,f75,f35,f2442]) ).
fof(f2464,plain,
( ~ theorem(or(sF6,sF7))
| ~ spl8_9
| spl8_233 ),
inference(resolution,[],[f2444,f883]) ).
fof(f2475,plain,
( $false
| ~ spl8_9
| ~ spl8_173
| spl8_233 ),
inference(forward_subsumption_resolution,[],[f2464,f1804]) ).
fof(f2476,plain,
( ~ spl8_9
| ~ spl8_173
| spl8_233 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
cnf(s1,plain,
~ spl8_1,
inference(sat_conversion,[],[f38]) ).
cnf(s3,plain,
spl8_3,
inference(sat_conversion,[],[f48]) ).
cnf(s4,plain,
spl8_4,
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
spl8_5,
inference(sat_conversion,[],[f58]) ).
cnf(s6,plain,
spl8_6,
inference(sat_conversion,[],[f63]) ).
cnf(s7,plain,
spl8_7,
inference(sat_conversion,[],[f68]) ).
cnf(s8,plain,
spl8_8,
inference(sat_conversion,[],[f73]) ).
cnf(s9,plain,
spl8_9,
inference(sat_conversion,[],[f78]) ).
cnf(s21,plain,
( ~ spl8_6
| ~ spl8_7
| spl8_21 ),
inference(sat_conversion,[],[f161]) ).
cnf(s32,plain,
( ~ spl8_21
| spl8_36 ),
inference(sat_conversion,[],[f270]) ).
cnf(s129,plain,
( ~ spl8_8
| ~ spl8_36
| spl8_122 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s167,plain,
( ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_9
| ~ spl8_122
| spl8_155 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s168,plain,
( ~ spl8_155
| spl8_156 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s180,plain,
( ~ spl8_8
| ~ spl8_156
| spl8_169 ),
inference(sat_conversion,[],[f1781]) ).
cnf(s184,plain,
( ~ spl8_169
| spl8_173 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s238,plain,
( spl8_1
| ~ spl8_9
| ~ spl8_233 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s242,plain,
( ~ spl8_9
| ~ spl8_173
| spl8_233 ),
inference(sat_conversion,[],[f2476]) ).
cnf(s303,plain,
spl8_21,
inference(rat,[],[s21,s7,s6]) ).
cnf(s310,plain,
spl8_36,
inference(rat,[],[s32,s303]) ).
cnf(s317,plain,
spl8_122,
inference(rat,[],[s129,s8,s310]) ).
cnf(s349,plain,
spl8_155,
inference(rat,[],[s167,s4,s317,s9,s5,s3]) ).
cnf(s360,plain,
spl8_156,
inference(rat,[],[s168,s349]) ).
cnf(s371,plain,
spl8_169,
inference(rat,[],[s180,s8,s360]) ).
cnf(s387,plain,
spl8_173,
inference(rat,[],[s184,s371]) ).
cnf(s390,plain,
spl8_233,
inference(rat,[],[s242,s9,s387]) ).
cnf(s393,plain,
spl8_1,
inference(rat,[],[s238,s9,s390]) ).
cnf(s409,plain,
$false,
inference(rat,[],[s1,s393]) ).
fof(f2477,plain,
$false,
inference(avatar_sat_refutation,[],[s409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL217-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n026.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 15:29:57 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.89/2.24 % (3000844)Input is clausal, will run a generic CNF schedule.
% 8.89/2.24 % (3000865)dis-21_1_sil=8000:lcm=predicate:random_seed=2649145690:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.89/2.24 % (3000859)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=659774801:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.89/2.24 % (3000860)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1211498178:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.89/2.24 % (3000865)Instruction limit reached!
% 8.89/2.24 % (3000865)------------------------------
% 8.89/2.24 % (3000865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000865)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000865)Termination reason: Instruction limit
% 8.89/2.24 % (3000865)Termination phase: Saturation
% 8.89/2.24 % (3000865)Time elapsed: 0.053 s
% 8.89/2.24 % (3000865)Peak memory usage: 88 MB
% 8.89/2.24 % (3000865)Instructions burned: 117 (million)
% 8.89/2.24 % (3000861)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3874941953:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.89/2.24 % (3000864)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2462810942:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.89/2.24 % (3000862)lrs+10_1_sil=8000:sp=occurrence:random_seed=2397699860:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.89/2.24 % (3000863)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3939424871:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.89/2.24 % (3000863)Instruction limit reached!
% 8.89/2.24 % (3000863)------------------------------
% 8.89/2.24 % (3000863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000863)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000863)Termination reason: Instruction limit
% 8.89/2.24 % (3000863)Termination phase: Saturation
% 8.89/2.24 % (3000863)Time elapsed: 0.109 s
% 8.89/2.24 % (3000863)Peak memory usage: 87 MB
% 8.89/2.24 % (3000863)Instructions burned: 115 (million)
% 8.89/2.24 % (3000862)Instruction limit reached!
% 8.89/2.24 % (3000862)------------------------------
% 8.89/2.24 % (3000862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000862)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000862)Termination reason: Instruction limit
% 8.89/2.24 % (3000862)Termination phase: Saturation
% 8.89/2.24 % (3000862)Time elapsed: 0.114 s
% 8.89/2.24 % (3000862)Peak memory usage: 89 MB
% 8.89/2.24 % (3000862)Instructions burned: 107 (million)
% 8.89/2.24 % (3000875)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3987165706:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.89/2.24 % (3000875)Refutation not found, incomplete strategy
% 8.89/2.24 % (3000875)------------------------------
% 8.89/2.24 % (3000875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000875)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000875)Termination reason: Refutation not found, incomplete strategy
% 8.89/2.24 % (3000875)Time elapsed: 0.001 s
% 8.89/2.24 % (3000875)Peak memory usage: 88 MB
% 8.89/2.24 % (3000864)Instruction limit reached!
% 8.89/2.24 % (3000864)------------------------------
% 8.89/2.24 % (3000864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000864)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000864)Termination reason: Instruction limit
% 8.89/2.24 % (3000864)Termination phase: Saturation
% 8.89/2.24 % (3000864)Time elapsed: 0.180 s
% 8.89/2.24 % (3000864)Peak memory usage: 89 MB
% 8.89/2.24 % (3000864)Instructions burned: 180 (million)
% 8.89/2.24 % (3000877)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2041393434:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.89/2.24 % (3000876)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2044991422:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 8.89/2.24 % (3000877)Refutation not found, incomplete strategy
% 8.89/2.24 % (3000877)------------------------------
% 8.89/2.24 % (3000877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000876)Refutation not found, incomplete strategy
% 8.89/2.24 % (3000876)------------------------------
% 8.89/2.24 % (3000876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000877)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000877)Termination reason: Refutation not found, incomplete strategy
% 8.89/2.24 % (3000877)Time elapsed: 0.002 s
% 8.89/2.24 % (3000876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000877)Peak memory usage: 87 MB
% 8.89/2.24 % (3000876)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000876)Termination reason: Refutation not found, incomplete strategy
% 8.89/2.24 % (3000876)Time elapsed: 0.002 s
% 8.89/2.24 % (3000876)Peak memory usage: 87 MB
% 8.89/2.24 % (3000875)------------------------------
% 8.89/2.24 % (3000875)------------------------------
% 8.89/2.24 % (3000879)lrs+10_64_to=lpo:sil=8000:random_seed=2098771356:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.89/2.24 % (3000879)Instruction limit reached!
% 8.89/2.24 % (3000879)------------------------------
% 8.89/2.24 % (3000879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000879)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000879)Termination reason: Instruction limit
% 8.89/2.24 % (3000879)Termination phase: Saturation
% 8.89/2.24 % (3000879)Time elapsed: 0.122 s
% 8.89/2.24 % (3000879)Peak memory usage: 89 MB
% 8.89/2.24 % (3000879)Instructions burned: 126 (million)
% 8.89/2.24 % (3000882)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2533181990:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.89/2.24 % (3000882)Instruction limit reached!
% 8.89/2.24 % (3000882)------------------------------
% 8.89/2.24 % (3000882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000882)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000882)Termination reason: Instruction limit
% 8.89/2.24 % (3000882)Termination phase: Saturation
% 8.89/2.24 % (3000882)Time elapsed: 0.087 s
% 8.89/2.24 % (3000882)Peak memory usage: 90 MB
% 8.89/2.24 % (3000882)Instructions burned: 195 (million)
% 8.89/2.24 % (3000876)------------------------------
% 8.89/2.24 % (3000876)------------------------------
% 8.89/2.24 % (3000877)------------------------------
% 8.89/2.24 % (3000877)------------------------------
% 8.89/2.24 % (3000885)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2339866519:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 8.89/2.24 % (3000887)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1391393620:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 8.89/2.24 % (3000885)First to succeed.
% 8.89/2.24 % (3000885)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3000844"
% 8.89/2.24 % (3000889)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3381705489:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 8.89/2.24 % (3000888)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3124833435:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 8.89/2.24 % (3000889)Refutation not found, incomplete strategy
% 8.89/2.24 % (3000889)------------------------------
% 8.89/2.24 % (3000889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000889)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000889)Termination reason: Refutation not found, incomplete strategy
% 8.89/2.24 % (3000889)Time elapsed: 0.001 s
% 8.89/2.24 % (3000889)Peak memory usage: 87 MB
% 8.89/2.24 % (3000888)Instruction limit reached!
% 8.89/2.24 % (3000888)------------------------------
% 8.89/2.24 % (3000888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.89/2.24 % (3000888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.89/2.24 % (3000888)CaDiCaL version: 2.1.3
% 8.89/2.24 % (3000888)Termination reason: Instruction limit
% 8.89/2.24 % (3000888)Termination phase: Saturation
% 8.89/2.24 % (3000888)Time elapsed: 0.058 s
% 8.89/2.24 % (3000888)Peak memory usage: 89 MB
% 8.89/2.24 % (3000888)Instructions burned: 107 (million)
% 8.89/2.24 % (3000859)Also succeeded, but the first one will report.
% 8.89/2.24 % (3000885)Refutation found. Thanks to Tanya!
% 8.89/2.24 % SZS status Unsatisfiable for theBenchmark
% 8.89/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 9.46/2.43 % (3000885)------------------------------
% 9.46/2.43 % (3000885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.43 % (3000885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.43 % (3000885)CaDiCaL version: 2.1.3
% 9.46/2.43 % (3000885)Termination reason: Refutation
% 9.46/2.43 % (3000885)Time elapsed: 0.053 s
% 9.46/2.43 % (3000885)Peak memory usage: 91 MB
% 9.46/2.43 % (3000885)Instructions burned: 75 (million)
% 9.46/2.43 % (3000885)------------------------------
% 9.46/2.43 % (3000885)------------------------------
% 9.46/2.43 % (3000844)Success in time 1.234 s
% 9.46/2.43 % Vampire exiting
%------------------------------------------------------------------------------