%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL216-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 5.46s 1.73s
% Output : Refutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 32
% Syntax : Number of formulae : 148 ( 59 unt; 23 def)
% Number of atoms : 289 ( 29 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 : 12 ( 12 usr; 9 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/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(or(p,q),implies(or(p,not(q)),p))),
file('/export/starexec/sandbox2/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(p,q)),or(not(or(p,not(q))),p))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f17,definition,
sF0 = or(p,q),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
or(p,q) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = not(q),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
not(q) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = or(p,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
or(p,sF2) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF5 = or(sF4,p),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f28,plain,
or(sF4,p) = sF5,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF6 = or(sF1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
or(sF1,sF5) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
~ theorem(sF6),
inference(definition_folding,[],[f16,f30,f28,f26,f24,f22,f20,f18]) ).
fof(f33,definition,
( spl7_1
<=> theorem(sF6) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f35,plain,
( ~ theorem(sF6)
| spl7_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f31,f33]) ).
fof(f38,definition,
( spl7_2
<=> or(p,q) = sF0 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f40,plain,
( or(p,q) = sF0
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f41,plain,
spl7_2,
inference(avatar_split_clause,[],[f18,f38]) ).
fof(f43,definition,
( spl7_3
<=> not(sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f45,plain,
( not(sF0) = sF1
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,plain,
spl7_3,
inference(avatar_split_clause,[],[f20,f43]) ).
fof(f48,definition,
( spl7_4
<=> not(q) = sF2 ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f50,plain,
( not(q) = sF2
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
spl7_4,
inference(avatar_split_clause,[],[f22,f48]) ).
fof(f53,definition,
( spl7_5
<=> or(p,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f55,plain,
( or(p,sF2) = sF3
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
spl7_5,
inference(avatar_split_clause,[],[f24,f53]) ).
fof(f58,definition,
( spl7_6
<=> not(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f60,plain,
( not(sF3) = sF4
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
spl7_6,
inference(avatar_split_clause,[],[f26,f58]) ).
fof(f63,definition,
( spl7_7
<=> or(sF4,p) = sF5 ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f65,plain,
( or(sF4,p) = sF5
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
spl7_7,
inference(avatar_split_clause,[],[f28,f63]) ).
fof(f68,definition,
( spl7_8
<=> or(sF1,sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f70,plain,
( or(sF1,sF5) = sF6
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
spl7_8,
inference(avatar_split_clause,[],[f30,f68]) ).
fof(f72,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f73,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f102,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f104,plain,
( axiom(or(not(sF3),or(sF2,p)))
| ~ spl7_5 ),
inference(superposition,[],[f12,f55]) ).
fof(f141,plain,
( axiom(or(sF4,or(sF2,p)))
| ~ spl7_5
| ~ spl7_6 ),
inference(forward_demodulation,[],[f104,f60]) ).
fof(f144,definition,
( spl7_19
<=> axiom(or(sF4,or(sF2,p))) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f146,plain,
( axiom(or(sF4,or(sF2,p)))
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( spl7_19
| ~ spl7_5
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f141,f58,f53,f144]) ).
fof(f186,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f190,plain,
( ! [X0] : axiom(or(not(or(X0,sF6)),or(sF1,or(X0,sF5))))
| ~ spl7_8 ),
inference(superposition,[],[f13,f70]) ).
fof(f193,plain,
( ! [X0] : axiom(or(not(or(sF4,or(X0,p))),or(X0,sF5)))
| ~ spl7_7 ),
inference(superposition,[],[f13,f65]) ).
fof(f194,plain,
( ! [X0] : axiom(or(not(or(sF1,or(X0,sF5))),or(X0,sF6)))
| ~ spl7_8 ),
inference(superposition,[],[f13,f70]) ).
fof(f199,plain,
( ! [X0] : axiom(or(not(or(not(q),X0)),or(not(sF0),or(p,X0))))
| ~ spl7_2 ),
inference(superposition,[],[f14,f40]) ).
fof(f206,plain,
( ! [X0] : axiom(or(not(or(not(X0),sF5)),or(not(or(sF1,X0)),sF6)))
| ~ spl7_8 ),
inference(superposition,[],[f14,f70]) ).
fof(f208,plain,
( ! [X0] : axiom(or(not(or(not(q),X0)),or(sF1,or(p,X0))))
| ~ spl7_2
| ~ spl7_3 ),
inference(forward_demodulation,[],[f199,f45]) ).
fof(f209,plain,
( ! [X0] : axiom(or(not(or(sF2,X0)),or(sF1,or(p,X0))))
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(forward_demodulation,[],[f208,f50]) ).
fof(f246,plain,
( theorem(or(sF4,or(sF2,p)))
| ~ spl7_19 ),
inference(resolution,[],[f146,f7]) ).
fof(f248,definition,
( spl7_33
<=> theorem(or(sF4,or(sF2,p))) ),
introduced(definition,[new_symbols(definition,[spl7_33])],[avatar_definition]) ).
fof(f250,plain,
( theorem(or(sF4,or(sF2,p)))
| ~ spl7_33 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl7_33
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f246,f144,f248]) ).
fof(f266,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f73,f15]) ).
fof(f318,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f102,f15]) ).
fof(f376,plain,
( ! [X0] : theorem(or(not(or(X0,sF6)),or(sF1,or(X0,sF5))))
| ~ spl7_8 ),
inference(resolution,[],[f190,f7]) ).
fof(f400,plain,
( ! [X0] : theorem(or(not(or(sF4,or(X0,p))),or(X0,sF5)))
| ~ spl7_7 ),
inference(resolution,[],[f193,f7]) ).
fof(f409,plain,
( ! [X0] : theorem(or(not(or(sF1,or(X0,sF5))),or(X0,sF6)))
| ~ spl7_8 ),
inference(resolution,[],[f194,f7]) ).
fof(f418,plain,
( ! [X0] : theorem(or(not(or(sF2,X0)),or(sF1,or(p,X0))))
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(resolution,[],[f209,f7]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f186,f15]) ).
fof(f616,plain,
( ! [X0] : theorem(or(not(or(not(X0),sF5)),or(not(or(sF1,X0)),sF6)))
| ~ spl7_8 ),
inference(resolution,[],[f206,f7]) ).
fof(f831,plain,
( ! [X0] :
( theorem(or(sF1,or(X0,sF5)))
| ~ theorem(or(X0,sF6)) )
| ~ spl7_8 ),
inference(resolution,[],[f376,f15]) ).
fof(f861,plain,
( ! [X0] :
( ~ theorem(or(sF4,or(X0,p)))
| theorem(or(X0,sF5)) )
| ~ spl7_7 ),
inference(resolution,[],[f400,f15]) ).
fof(f872,plain,
( ! [X0] :
( ~ theorem(or(sF1,or(X0,sF5)))
| theorem(or(X0,sF6)) )
| ~ spl7_8 ),
inference(resolution,[],[f409,f15]) ).
fof(f888,plain,
( ! [X0] :
( theorem(or(sF1,or(p,X0)))
| ~ theorem(or(sF2,X0)) )
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(resolution,[],[f418,f15]) ).
fof(f964,plain,
( theorem(or(sF2,or(sF4,p)))
| ~ spl7_33 ),
inference(resolution,[],[f446,f250]) ).
fof(f969,plain,
( theorem(or(sF2,sF5))
| ~ spl7_7
| ~ spl7_33 ),
inference(forward_demodulation,[],[f964,f65]) ).
fof(f1016,definition,
( spl7_114
<=> theorem(or(sF2,sF5)) ),
introduced(definition,[new_symbols(definition,[spl7_114])],[avatar_definition]) ).
fof(f1018,plain,
( theorem(or(sF2,sF5))
| ~ spl7_114 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1019,plain,
( spl7_114
| ~ spl7_7
| ~ spl7_33 ),
inference(avatar_split_clause,[],[f969,f248,f63,f1016]) ).
fof(f1188,plain,
( ! [X0] :
( theorem(or(not(or(sF1,X0)),sF6))
| ~ theorem(or(not(X0),sF5)) )
| ~ spl7_8 ),
inference(resolution,[],[f616,f15]) ).
fof(f1429,plain,
( ! [X0] :
( ~ theorem(or(X0,p))
| theorem(or(X0,sF5)) )
| ~ spl7_7 ),
inference(resolution,[],[f861,f266]) ).
fof(f1455,plain,
( ~ theorem(or(sF2,sF5))
| theorem(or(p,sF6))
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_8 ),
inference(resolution,[],[f888,f872]) ).
fof(f1460,plain,
( theorem(or(p,sF6))
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_8
| ~ spl7_114 ),
inference(forward_subsumption_resolution,[],[f1455,f1018]) ).
fof(f1462,definition,
( spl7_145
<=> theorem(or(p,sF6)) ),
introduced(definition,[new_symbols(definition,[spl7_145])],[avatar_definition]) ).
fof(f1464,plain,
( theorem(or(p,sF6))
| ~ spl7_145 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1465,plain,
( spl7_145
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_8
| ~ spl7_114 ),
inference(avatar_split_clause,[],[f1460,f1016,f68,f48,f43,f38,f1462]) ).
fof(f1466,plain,
( theorem(or(sF6,p))
| ~ spl7_145 ),
inference(resolution,[],[f1464,f318]) ).
fof(f1468,definition,
( spl7_146
<=> theorem(or(sF6,p)) ),
introduced(definition,[new_symbols(definition,[spl7_146])],[avatar_definition]) ).
fof(f1470,plain,
( theorem(or(sF6,p))
| ~ spl7_146 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1471,plain,
( spl7_146
| ~ spl7_145 ),
inference(avatar_split_clause,[],[f1466,f1462,f1468]) ).
fof(f1665,plain,
( theorem(or(sF6,sF5))
| ~ spl7_7
| ~ spl7_146 ),
inference(resolution,[],[f1429,f1470]) ).
fof(f1668,definition,
( spl7_159
<=> theorem(or(sF6,sF5)) ),
introduced(definition,[new_symbols(definition,[spl7_159])],[avatar_definition]) ).
fof(f1670,plain,
( theorem(or(sF6,sF5))
| ~ spl7_159 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1671,plain,
( spl7_159
| ~ spl7_7
| ~ spl7_146 ),
inference(avatar_split_clause,[],[f1665,f1468,f63,f1668]) ).
fof(f1686,plain,
( theorem(or(sF5,sF6))
| ~ spl7_159 ),
inference(resolution,[],[f1670,f318]) ).
fof(f1688,definition,
( spl7_162
<=> theorem(or(sF5,sF6)) ),
introduced(definition,[new_symbols(definition,[spl7_162])],[avatar_definition]) ).
fof(f1690,plain,
( theorem(or(sF5,sF6))
| ~ spl7_162 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f1691,plain,
( spl7_162
| ~ spl7_159 ),
inference(avatar_split_clause,[],[f1686,f1668,f1688]) ).
fof(f2032,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF5))
| theorem(sF6)
| ~ theorem(or(sF1,X0)) )
| ~ spl7_8 ),
inference(resolution,[],[f1188,f15]) ).
fof(f2035,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF5))
| ~ theorem(or(sF1,X0)) )
| spl7_1
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f2032,f35]) ).
fof(f2301,plain,
( ~ theorem(or(sF1,or(sF5,sF5)))
| spl7_1
| ~ spl7_8 ),
inference(resolution,[],[f2035,f72]) ).
fof(f2311,definition,
( spl7_223
<=> theorem(or(sF1,or(sF5,sF5))) ),
introduced(definition,[new_symbols(definition,[spl7_223])],[avatar_definition]) ).
fof(f2313,plain,
( ~ theorem(or(sF1,or(sF5,sF5)))
| spl7_223 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f2314,plain,
( ~ spl7_223
| spl7_1
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f2301,f68,f33,f2311]) ).
fof(f2333,plain,
( ~ theorem(or(sF5,sF6))
| ~ spl7_8
| spl7_223 ),
inference(resolution,[],[f2313,f831]) ).
fof(f2344,plain,
( $false
| ~ spl7_8
| ~ spl7_162
| spl7_223 ),
inference(forward_subsumption_resolution,[],[f2333,f1690]) ).
fof(f2345,plain,
( ~ spl7_8
| ~ spl7_162
| spl7_223 ),
inference(avatar_contradiction_clause,[],[f2344]) ).
cnf(s1,plain,
~ spl7_1,
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f41]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f46]) ).
cnf(s4,plain,
spl7_4,
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
spl7_5,
inference(sat_conversion,[],[f56]) ).
cnf(s6,plain,
spl7_6,
inference(sat_conversion,[],[f61]) ).
cnf(s7,plain,
spl7_7,
inference(sat_conversion,[],[f66]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f71]) ).
cnf(s19,plain,
( ~ spl7_5
| ~ spl7_6
| spl7_19 ),
inference(sat_conversion,[],[f147]) ).
cnf(s30,plain,
( ~ spl7_19
| spl7_33 ),
inference(sat_conversion,[],[f251]) ).
cnf(s122,plain,
( ~ spl7_7
| ~ spl7_33
| spl7_114 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s155,plain,
( ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_8
| ~ spl7_114
| spl7_145 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s156,plain,
( ~ spl7_145
| spl7_146 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s168,plain,
( ~ spl7_7
| ~ spl7_146
| spl7_159 ),
inference(sat_conversion,[],[f1671]) ).
cnf(s171,plain,
( ~ spl7_159
| spl7_162 ),
inference(sat_conversion,[],[f1691]) ).
cnf(s228,plain,
( spl7_1
| ~ spl7_8
| ~ spl7_223 ),
inference(sat_conversion,[],[f2314]) ).
cnf(s232,plain,
( ~ spl7_8
| ~ spl7_162
| spl7_223 ),
inference(sat_conversion,[],[f2345]) ).
cnf(s299,plain,
spl7_19,
inference(rat,[],[s19,s6,s5]) ).
cnf(s306,plain,
spl7_33,
inference(rat,[],[s30,s299]) ).
cnf(s313,plain,
spl7_114,
inference(rat,[],[s122,s7,s306]) ).
cnf(s348,plain,
spl7_145,
inference(rat,[],[s155,s3,s313,s8,s4,s2]) ).
cnf(s359,plain,
spl7_146,
inference(rat,[],[s156,s348]) ).
cnf(s370,plain,
spl7_159,
inference(rat,[],[s168,s7,s359]) ).
cnf(s386,plain,
spl7_162,
inference(rat,[],[s171,s370]) ).
cnf(s389,plain,
spl7_223,
inference(rat,[],[s232,s8,s386]) ).
cnf(s392,plain,
spl7_1,
inference(rat,[],[s228,s8,s389]) ).
cnf(s396,plain,
$false,
inference(rat,[],[s1,s392]) ).
fof(f2346,plain,
$false,
inference(avatar_sat_refutation,[],[s396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL216-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:27:16 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.46/1.73 % (2556186)Input is clausal, will run a generic CNF schedule.
% 5.46/1.73 % (2556235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2780853920:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.46/1.73 % (2556234)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3697058547:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.46/1.73 % (2556230)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=1818308867:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.46/1.73 % (2556231)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3947448054:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.46/1.73 % (2556232)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2864103999:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.46/1.73 % (2556233)lrs+10_1_sil=8000:sp=occurrence:random_seed=3870122465:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.46/1.73 % (2556236)dis-21_1_sil=8000:lcm=predicate:random_seed=1587059819: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)
% 5.46/1.73 % (2556235)Instruction limit reached!
% 5.46/1.73 % (2556235)------------------------------
% 5.46/1.73 % (2556235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556235)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556235)Termination reason: Instruction limit
% 5.46/1.73 % (2556235)Termination phase: Saturation
% 5.46/1.73 % (2556235)Time elapsed: 0.065 s
% 5.46/1.73 % (2556235)Peak memory usage: 89 MB
% 5.46/1.73 % (2556235)Instructions burned: 180 (million)
% 5.46/1.73 % (2556234)Instruction limit reached!
% 5.46/1.73 % (2556234)------------------------------
% 5.46/1.73 % (2556234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556234)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556234)Termination reason: Instruction limit
% 5.46/1.73 % (2556234)Termination phase: Saturation
% 5.46/1.73 % (2556234)Time elapsed: 0.064 s
% 5.46/1.73 % (2556234)Peak memory usage: 87 MB
% 5.46/1.73 % (2556234)Instructions burned: 114 (million)
% 5.46/1.73 % (2556233)Instruction limit reached!
% 5.46/1.73 % (2556233)------------------------------
% 5.46/1.73 % (2556233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556233)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556233)Termination reason: Instruction limit
% 5.46/1.73 % (2556233)Termination phase: Saturation
% 5.46/1.73 % (2556233)Time elapsed: 0.071 s
% 5.46/1.73 % (2556233)Peak memory usage: 89 MB
% 5.46/1.73 % (2556233)Instructions burned: 108 (million)
% 5.46/1.73 % (2556236)Instruction limit reached!
% 5.46/1.73 % (2556236)------------------------------
% 5.46/1.73 % (2556236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556236)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556236)Termination reason: Instruction limit
% 5.46/1.73 % (2556236)Termination phase: Saturation
% 5.46/1.73 % (2556236)Time elapsed: 0.059 s
% 5.46/1.73 % (2556236)Peak memory usage: 88 MB
% 5.46/1.73 % (2556236)Instructions burned: 118 (million)
% 5.46/1.73 % (2556244)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=4097095117:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.46/1.73 % (2556244)Refutation not found, incomplete strategy
% 5.46/1.73 % (2556244)------------------------------
% 5.46/1.73 % (2556244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556244)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556244)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.73 % (2556244)Time elapsed: 0.001 s
% 5.46/1.73 % (2556244)Peak memory usage: 88 MB
% 5.46/1.73 % (2556245)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3755057004:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.46/1.73 % (2556245)Refutation not found, incomplete strategy
% 5.46/1.73 % (2556245)------------------------------
% 5.46/1.73 % (2556245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556245)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556245)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.73 % (2556245)Time elapsed: 0.001 s
% 5.46/1.73 % (2556245)Peak memory usage: 87 MB
% 5.46/1.73 % (2556246)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3527556543:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.46/1.73 % (2556247)lrs+10_64_to=lpo:sil=8000:random_seed=3717117327:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.46/1.73 % (2556246)Refutation not found, incomplete strategy
% 5.46/1.73 % (2556246)------------------------------
% 5.46/1.73 % (2556246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556246)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556246)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.73 % (2556246)Time elapsed: 0.001 s
% 5.46/1.73 % (2556246)Peak memory usage: 88 MB
% 5.46/1.73 % (2556244)------------------------------
% 5.46/1.73 % (2556244)------------------------------
% 5.46/1.73 % (2556247)Instruction limit reached!
% 5.46/1.73 % (2556247)------------------------------
% 5.46/1.73 % (2556247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556247)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556247)Termination reason: Instruction limit
% 5.46/1.73 % (2556247)Termination phase: Saturation
% 5.46/1.73 % (2556247)Time elapsed: 0.073 s
% 5.46/1.73 % (2556247)Peak memory usage: 89 MB
% 5.46/1.73 % (2556247)Instructions burned: 127 (million)
% 5.46/1.73 % (2556252)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4176425699:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.46/1.73 % (2556253)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=801375093:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.46/1.73 % (2556252)Instruction limit reached!
% 5.46/1.73 % (2556252)------------------------------
% 5.46/1.73 % (2556252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556252)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556252)Termination reason: Instruction limit
% 5.46/1.73 % (2556252)Termination phase: Saturation
% 5.46/1.73 % (2556252)Time elapsed: 0.068 s
% 5.46/1.73 % (2556252)Peak memory usage: 90 MB
% 5.46/1.73 % (2556252)Instructions burned: 195 (million)
% 5.46/1.73 % (2556245)------------------------------
% 5.46/1.73 % (2556245)------------------------------
% 5.46/1.73 % (2556246)------------------------------
% 5.46/1.73 % (2556246)------------------------------
% 5.46/1.73 % (2556253)First to succeed.
% 5.46/1.73 % (2556253)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2556186"
% 5.46/1.73 % (2556256)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2676075711:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.46/1.73 % (2556257)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=2696633896:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.46/1.73 % (2556258)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1941966773:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 5.46/1.73 % (2556258)Refutation not found, incomplete strategy
% 5.46/1.73 % (2556258)------------------------------
% 5.46/1.73 % (2556258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556258)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556258)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.73 % (2556258)Time elapsed: 0.001 s
% 5.46/1.73 % (2556258)Peak memory usage: 87 MB
% 5.46/1.73 % (2556257)Instruction limit reached!
% 5.46/1.73 % (2556257)------------------------------
% 5.46/1.73 % (2556257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.73 % (2556257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.73 % (2556257)CaDiCaL version: 2.1.3
% 5.46/1.73 % (2556257)Termination reason: Instruction limit
% 5.46/1.73 % (2556257)Termination phase: Saturation
% 5.46/1.73 % (2556257)Time elapsed: 0.057 s
% 5.46/1.73 % (2556257)Peak memory usage: 89 MB
% 5.46/1.73 % (2556257)Instructions burned: 108 (million)
% 5.46/1.73 % (2556253)Refutation found. Thanks to Tanya!
% 5.46/1.73 % SZS status Unsatisfiable for theBenchmark
% 5.46/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.77/1.92 % (2556253)------------------------------
% 6.77/1.92 % (2556253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.92 % (2556253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.92 % (2556253)CaDiCaL version: 2.1.3
% 6.77/1.92 % (2556253)Termination reason: Refutation
% 6.77/1.92 % (2556253)Time elapsed: 0.050 s
% 6.77/1.92 % (2556253)Peak memory usage: 91 MB
% 6.77/1.92 % (2556253)Instructions burned: 70 (million)
% 6.77/1.92 % (2556253)------------------------------
% 6.77/1.92 % (2556253)------------------------------
% 6.77/1.92 % (2556186)Success in time 0.87 s
% 6.77/1.92 % Vampire exiting
%------------------------------------------------------------------------------