%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL286-3 : 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 : n016.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 11:51:52 AM UTC 2026
% Result : Unsatisfiable 14.10s 3.12s
% Output : Refutation 16.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 30
% Syntax : Number of formulae : 158 ( 75 unt; 19 def)
% Number of atoms : 267 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 215 ( 106 ~; 102 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 115 !; 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,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(p,and(p,or(p,q)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,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(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(p),not(or(not(p),not(or(p,q)))))),not(or(not(not(or(not(p),not(or(p,q))))),p))))),
inference(definition_unfolding,[],[f11,f12,f9]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(p,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(p,q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = or(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
or(sF0,sF2) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = or(sF0,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
or(sF0,sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF4) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = or(sF7,p),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
or(sF7,p) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = or(sF6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
or(sF6,sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = not(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
not(sF10) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
~ theorem(sF11),
inference(definition_folding,[],[f19,f43,f41,f39,f37,f35,f29,f27,f25,f23,f21,f33,f31,f29,f27,f25,f23,f21,f21]) ).
fof(f45,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f17,f7]) ).
fof(f54,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f45]) ).
fof(f57,plain,
! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0)
| ~ theorem(sF5) ),
inference(superposition,[],[f18,f33]) ).
fof(f68,definition,
( spl12_3
<=> theorem(sF5) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f70,plain,
( ~ theorem(sF5)
| spl12_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl12_4
<=> ! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f73,plain,
( ! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( ~ spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f57,f72,f68]) ).
fof(f127,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f127,f18]) ).
fof(f187,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f203,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f187,f18]) ).
fof(f206,plain,
theorem(or(not(sF3),or(sF2,sF0))),
inference(superposition,[],[f187,f27]) ).
fof(f208,plain,
theorem(or(not(sF10),or(sF9,sF6))),
inference(superposition,[],[f187,f41]) ).
fof(f216,plain,
theorem(or(sF11,or(sF9,sF6))),
inference(forward_demodulation,[],[f208,f43]) ).
fof(f218,plain,
theorem(or(sF4,or(sF2,sF0))),
inference(forward_demodulation,[],[f206,f29]) ).
fof(f220,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f236,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f220,f132]) ).
fof(f260,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f261,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f260,f18]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f54,f18]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f264,f187]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f264,f54]) ).
fof(f288,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f264,f220]) ).
fof(f289,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f264,f260]) ).
fof(f291,plain,
! [X0,X1] :
( ~ theorem(or(sF2,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF1)) ),
inference(superposition,[],[f264,f25]) ).
fof(f292,plain,
! [X0,X1] :
( ~ theorem(or(sF4,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF3)) ),
inference(superposition,[],[f264,f29]) ).
fof(f294,plain,
! [X0,X1] :
( ~ theorem(or(sF6,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF5)) ),
inference(superposition,[],[f264,f33]) ).
fof(f295,plain,
! [X0,X1] :
( ~ theorem(or(sF9,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF8)) ),
inference(superposition,[],[f264,f39]) ).
fof(f301,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f286,f220]) ).
fof(f311,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f289,f220]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f287,f127]) ).
fof(f332,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f311,f203]) ).
fof(f383,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f288,f286]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f314,f18]) ).
fof(f426,plain,
theorem(or(sF9,or(sF11,sF6))),
inference(resolution,[],[f216,f132]) ).
fof(f462,plain,
! [X0] :
( ~ theorem(or(X0,sF0))
| theorem(or(X0,sF3)) ),
inference(superposition,[],[f383,f27]) ).
fof(f463,plain,
! [X0] :
( ~ theorem(or(X0,sF0))
| theorem(or(X0,sF5)) ),
inference(superposition,[],[f383,f31]) ).
fof(f465,plain,
! [X0] :
( ~ theorem(or(X0,sF7))
| theorem(or(X0,sF8)) ),
inference(superposition,[],[f383,f37]) ).
fof(f467,plain,
theorem(or(sF9,or(sF6,sF11))),
inference(resolution,[],[f426,f286]) ).
fof(f534,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f407,f260]) ).
fof(f543,plain,
! [X0,X1] :
( ~ theorem(or(not(sF8),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF7,or(X1,p))) ),
inference(superposition,[],[f407,f37]) ).
fof(f544,plain,
! [X0,X1] :
( ~ theorem(or(sF7,or(X1,p)))
| theorem(or(X1,X0))
| ~ theorem(or(sF9,X0)) ),
inference(forward_demodulation,[],[f543,f39]) ).
fof(f565,plain,
theorem(or(not(p),sF1)),
inference(superposition,[],[f301,f23]) ).
fof(f570,plain,
theorem(or(sF0,sF1)),
inference(forward_demodulation,[],[f565,f21]) ).
fof(f609,plain,
! [X0] :
( theorem(or(X0,not(sF4)))
| ~ theorem(or(X0,sF3)) ),
inference(resolution,[],[f292,f332]) ).
fof(f612,plain,
! [X0] :
( ~ theorem(or(X0,sF3))
| theorem(or(X0,sF7)) ),
inference(forward_demodulation,[],[f609,f35]) ).
fof(f655,plain,
! [X0] :
( theorem(or(X0,or(sF6,sF11)))
| ~ theorem(or(X0,sF8)) ),
inference(resolution,[],[f295,f467]) ).
fof(f669,plain,
theorem(or(sF2,or(sF4,sF0))),
inference(resolution,[],[f218,f132]) ).
fof(f786,definition,
( spl12_34
<=> theorem(or(sF11,sF8)) ),
introduced(definition,[new_symbols(definition,[spl12_34])],[avatar_definition]) ).
fof(f787,plain,
( theorem(or(sF11,sF8))
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f788,plain,
( ~ theorem(or(sF11,sF8))
| spl12_34 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f823,definition,
( spl12_43
<=> theorem(or(sF6,sF11)) ),
introduced(definition,[new_symbols(definition,[spl12_43])],[avatar_definition]) ).
fof(f824,plain,
( ~ theorem(or(sF6,sF11))
| spl12_43 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f825,plain,
( theorem(or(sF6,sF11))
| ~ spl12_43 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f830,plain,
( ! [X0] :
( ~ theorem(or(X0,sF5))
| theorem(or(X0,sF11)) )
| ~ spl12_43 ),
inference(resolution,[],[f825,f294]) ).
fof(f873,plain,
! [X0] :
( theorem(or(X0,or(sF4,sF0)))
| ~ theorem(or(X0,sF1)) ),
inference(resolution,[],[f669,f291]) ).
fof(f875,plain,
theorem(or(sF2,or(sF0,sF4))),
inference(resolution,[],[f669,f286]) ).
fof(f878,plain,
theorem(or(sF2,sF5)),
inference(forward_demodulation,[],[f875,f31]) ).
fof(f880,plain,
( theorem(or(sF2,sF11))
| ~ spl12_43 ),
inference(resolution,[],[f878,f830]) ).
fof(f882,plain,
( ! [X0] :
( ~ theorem(or(X0,sF1))
| theorem(or(X0,sF11)) )
| ~ spl12_43 ),
inference(resolution,[],[f880,f291]) ).
fof(f912,definition,
( spl12_47
<=> theorem(or(sF4,sF0)) ),
introduced(definition,[new_symbols(definition,[spl12_47])],[avatar_definition]) ).
fof(f914,plain,
( theorem(or(sF4,sF0))
| ~ spl12_47 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f920,plain,
( theorem(or(sF0,sF11))
| ~ spl12_43 ),
inference(resolution,[],[f570,f882]) ).
fof(f922,plain,
( theorem(or(sF11,sF0))
| ~ spl12_43 ),
inference(resolution,[],[f920,f203]) ).
fof(f1046,plain,
! [X0] :
( theorem(or(not(p),X0))
| ~ theorem(or(sF9,X0)) ),
inference(resolution,[],[f236,f544]) ).
fof(f1057,plain,
! [X0] :
( ~ theorem(or(sF9,X0))
| theorem(or(sF0,X0)) ),
inference(forward_demodulation,[],[f1046,f21]) ).
fof(f1146,plain,
( theorem(or(sF11,sF5))
| ~ spl12_43 ),
inference(resolution,[],[f463,f922]) ).
fof(f1361,plain,
( theorem(or(sF6,sF11))
| ~ theorem(or(sF11,sF8)) ),
inference(resolution,[],[f534,f655]) ).
fof(f1720,plain,
theorem(or(sF0,or(sF6,sF11))),
inference(resolution,[],[f1057,f467]) ).
fof(f1736,definition,
( spl12_106
<=> theorem(or(sF0,or(sF6,sF11))) ),
introduced(definition,[new_symbols(definition,[spl12_106])],[avatar_definition]) ).
fof(f1738,plain,
( theorem(or(sF0,or(sF6,sF11)))
| ~ spl12_106 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1740,plain,
spl12_106,
inference(avatar_split_clause,[],[f1720,f1736]) ).
fof(f1763,plain,
( theorem(or(sF6,or(sF0,sF11)))
| ~ spl12_106 ),
inference(resolution,[],[f1738,f132]) ).
fof(f1772,plain,
( ~ theorem(or(sF0,sF1))
| theorem(or(sF4,sF0)) ),
inference(resolution,[],[f873,f534]) ).
fof(f1848,plain,
theorem(or(sF4,sF0)),
inference(forward_subsumption_resolution,[],[f1772,f570]) ).
fof(f1849,plain,
spl12_47,
inference(avatar_split_clause,[],[f1848,f912]) ).
fof(f1902,plain,
( theorem(or(sF11,sF11))
| ~ spl12_43 ),
inference(resolution,[],[f1146,f830]) ).
fof(f1906,plain,
( theorem(sF11)
| ~ spl12_43 ),
inference(resolution,[],[f1902,f261]) ).
fof(f1908,plain,
( $false
| ~ spl12_43 ),
inference(forward_subsumption_resolution,[],[f1906,f44]) ).
fof(f1909,plain,
~ spl12_43,
inference(avatar_contradiction_clause,[],[f1908]) ).
fof(f1923,plain,
( ~ theorem(or(sF11,sF8))
| spl12_43 ),
inference(forward_subsumption_resolution,[],[f1361,f824]) ).
fof(f1937,definition,
( spl12_124
<=> theorem(or(sF11,sF3)) ),
introduced(definition,[new_symbols(definition,[spl12_124])],[avatar_definition]) ).
fof(f1938,plain,
( theorem(or(sF11,sF3))
| ~ spl12_124 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f1939,plain,
( ~ theorem(or(sF11,sF3))
| spl12_124 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f1953,plain,
( $false
| ~ spl12_34
| spl12_43 ),
inference(forward_subsumption_resolution,[],[f1923,f787]) ).
fof(f1954,plain,
( ~ spl12_34
| spl12_43 ),
inference(avatar_contradiction_clause,[],[f1953]) ).
fof(f2036,plain,
( theorem(or(sF0,sF4))
| ~ spl12_47 ),
inference(resolution,[],[f914,f203]) ).
fof(f2037,plain,
( theorem(sF5)
| ~ spl12_47 ),
inference(forward_demodulation,[],[f2036,f31]) ).
fof(f2040,plain,
( $false
| spl12_3
| ~ spl12_47 ),
inference(forward_subsumption_resolution,[],[f2037,f70]) ).
fof(f2041,plain,
( spl12_3
| ~ spl12_47 ),
inference(avatar_contradiction_clause,[],[f2040]) ).
fof(f2045,plain,
( theorem(or(sF0,sF11))
| ~ spl12_4
| ~ spl12_106 ),
inference(resolution,[],[f73,f1763]) ).
fof(f2061,plain,
( theorem(or(sF11,sF0))
| ~ spl12_4
| ~ spl12_106 ),
inference(resolution,[],[f2045,f203]) ).
fof(f2074,plain,
( theorem(or(sF11,sF3))
| ~ spl12_4
| ~ spl12_106 ),
inference(resolution,[],[f2061,f462]) ).
fof(f2077,plain,
( $false
| ~ spl12_4
| ~ spl12_106
| spl12_124 ),
inference(forward_subsumption_resolution,[],[f2074,f1939]) ).
fof(f2078,plain,
( ~ spl12_4
| ~ spl12_106
| spl12_124 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2080,plain,
( theorem(or(sF11,sF7))
| ~ spl12_124 ),
inference(resolution,[],[f1938,f612]) ).
fof(f2084,plain,
( theorem(or(sF11,sF8))
| ~ spl12_124 ),
inference(resolution,[],[f2080,f465]) ).
fof(f2087,plain,
( $false
| spl12_34
| ~ spl12_124 ),
inference(forward_subsumption_resolution,[],[f2084,f788]) ).
fof(f2088,plain,
( spl12_34
| ~ spl12_124 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
cnf(s2,plain,
( ~ spl12_3
| spl12_4 ),
inference(sat_conversion,[],[f74]) ).
cnf(s74,plain,
spl12_106,
inference(sat_conversion,[],[f1740]) ).
cnf(s85,plain,
spl12_47,
inference(sat_conversion,[],[f1849]) ).
cnf(s86,plain,
~ spl12_43,
inference(sat_conversion,[],[f1909]) ).
cnf(s93,plain,
( ~ spl12_34
| spl12_43 ),
inference(sat_conversion,[],[f1954]) ).
cnf(s99,plain,
( spl12_3
| ~ spl12_47 ),
inference(sat_conversion,[],[f2041]) ).
cnf(s102,plain,
( ~ spl12_4
| ~ spl12_106
| spl12_124 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s104,plain,
( spl12_34
| ~ spl12_124 ),
inference(sat_conversion,[],[f2088]) ).
cnf(s105,plain,
~ spl12_34,
inference(rat,[],[s93,s86]) ).
cnf(s107,plain,
~ spl12_124,
inference(rat,[],[s104,s105]) ).
cnf(s108,plain,
spl12_3,
inference(rat,[],[s99,s85]) ).
cnf(s110,plain,
~ spl12_4,
inference(rat,[],[s102,s107,s74]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s2,s110,s108]) ).
fof(f2089,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL286-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n016.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:37:47 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 14.10/3.12 % (2792686)Input is clausal, will run a generic CNF schedule.
% 14.10/3.12 % (2792697)dis-21_1_sil=8000:lcm=predicate:random_seed=3632346329: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)
% 14.10/3.12 % (2792697)Instruction limit reached!
% 14.10/3.12 % (2792697)------------------------------
% 14.10/3.12 % (2792697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792697)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792697)Termination reason: Instruction limit
% 14.10/3.12 % (2792697)Termination phase: Saturation
% 14.10/3.12 % (2792697)Time elapsed: 0.047 s
% 14.10/3.12 % (2792697)Peak memory usage: 88 MB
% 14.10/3.12 % (2792697)Instructions burned: 120 (million)
% 14.10/3.12 % (2792693)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=448043808:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.10/3.12 % (2792694)lrs+10_1_sil=8000:sp=occurrence:random_seed=4174295707:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.10/3.12 % (2792692)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=598632110:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.10/3.12 % (2792691)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=3523208727:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.10/3.12 % (2792696)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2385110523:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.10/3.12 % (2792695)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4185273510:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.10/3.12 % (2792694)Instruction limit reached!
% 14.10/3.12 % (2792694)------------------------------
% 14.10/3.12 % (2792694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792694)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792694)Termination reason: Instruction limit
% 14.10/3.12 % (2792694)Termination phase: Saturation
% 14.10/3.12 % (2792694)Time elapsed: 0.110 s
% 14.10/3.12 % (2792694)Peak memory usage: 88 MB
% 14.10/3.12 % (2792694)Instructions burned: 108 (million)
% 14.10/3.12 % (2792695)Instruction limit reached!
% 14.10/3.12 % (2792695)------------------------------
% 14.10/3.12 % (2792695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792695)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792695)Termination reason: Instruction limit
% 14.10/3.12 % (2792695)Termination phase: Saturation
% 14.10/3.12 % (2792695)Time elapsed: 0.112 s
% 14.10/3.12 % (2792695)Peak memory usage: 89 MB
% 14.10/3.12 % (2792695)Instructions burned: 114 (million)
% 14.10/3.12 % (2792696)Instruction limit reached!
% 14.10/3.12 % (2792696)------------------------------
% 14.10/3.12 % (2792696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792696)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792696)Termination reason: Instruction limit
% 14.10/3.12 % (2792696)Termination phase: Saturation
% 14.10/3.12 % (2792696)Time elapsed: 0.176 s
% 14.10/3.12 % (2792696)Peak memory usage: 89 MB
% 14.10/3.12 % (2792696)Instructions burned: 180 (million)
% 14.10/3.12 % (2792699)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=3726453200:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 14.10/3.12 % (2792699)Refutation not found, incomplete strategy
% 14.10/3.12 % (2792699)------------------------------
% 14.10/3.12 % (2792699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792699)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792699)Termination reason: Refutation not found, incomplete strategy
% 14.10/3.12 % (2792699)Time elapsed: 0.001 s
% 14.10/3.12 % (2792699)Peak memory usage: 87 MB
% 14.10/3.12 % (2792706)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3733239069: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)
% 14.10/3.12 % (2792706)Refutation not found, incomplete strategy
% 14.10/3.12 % (2792706)------------------------------
% 14.10/3.12 % (2792706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792706)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792706)Termination reason: Refutation not found, incomplete strategy
% 14.10/3.12 % (2792706)Time elapsed: 0.002 s
% 14.10/3.12 % (2792706)Peak memory usage: 87 MB
% 14.10/3.12 % (2792707)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4267181445:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 14.10/3.12 % (2792707)Refutation not found, incomplete strategy
% 14.10/3.12 % (2792707)------------------------------
% 14.10/3.12 % (2792707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792707)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792707)Termination reason: Refutation not found, incomplete strategy
% 14.10/3.12 % (2792707)Time elapsed: 0.003 s
% 14.10/3.12 % (2792707)Peak memory usage: 87 MB
% 14.10/3.12 % (2792707)Instructions burned: 1 (million)
% 14.10/3.12 % (2792708)lrs+10_64_to=lpo:sil=8000:random_seed=4003274389:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.10/3.12 % (2792699)------------------------------
% 14.10/3.12 % (2792699)------------------------------
% 14.10/3.12 % (2792708)Instruction limit reached!
% 14.10/3.12 % (2792708)------------------------------
% 14.10/3.12 % (2792708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792708)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792708)Termination reason: Instruction limit
% 14.10/3.12 % (2792708)Termination phase: Saturation
% 14.10/3.12 % (2792708)Time elapsed: 0.115 s
% 14.10/3.12 % (2792708)Peak memory usage: 88 MB
% 14.10/3.12 % (2792708)Instructions burned: 126 (million)
% 14.10/3.12 % (2792713)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2612795452:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 14.10/3.12 % (2792706)------------------------------
% 14.10/3.12 % (2792706)------------------------------
% 14.10/3.12 % (2792707)------------------------------
% 14.10/3.12 % (2792707)------------------------------
% 14.10/3.12 % (2792713)Instruction limit reached!
% 14.10/3.12 % (2792713)------------------------------
% 14.10/3.12 % (2792713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792713)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792713)Termination reason: Instruction limit
% 14.10/3.12 % (2792713)Termination phase: Saturation
% 14.10/3.12 % (2792713)Time elapsed: 0.151 s
% 14.10/3.12 % (2792713)Peak memory usage: 90 MB
% 14.10/3.12 % (2792713)Instructions burned: 194 (million)
% 14.10/3.12 % (2792714)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3834651552:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 14.10/3.12 % (2792714)Instruction limit reached!
% 14.10/3.12 % (2792714)------------------------------
% 14.10/3.12 % (2792714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792714)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792714)Termination reason: Instruction limit
% 14.10/3.12 % (2792714)Termination phase: Saturation
% 14.10/3.12 % (2792714)Time elapsed: 0.169 s
% 14.10/3.12 % (2792714)Peak memory usage: 91 MB
% 14.10/3.12 % (2792714)Instructions burned: 157 (million)
% 14.10/3.12 % (2792716)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2460081436:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 14.10/3.12 % (2792718)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=351287274:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 14.10/3.12 % (2792719)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1331825569:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 14.10/3.12 % (2792719)Refutation not found, incomplete strategy
% 14.10/3.12 % (2792719)------------------------------
% 14.10/3.12 % (2792719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792719)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792719)Termination reason: Refutation not found, incomplete strategy
% 14.10/3.12 % (2792719)Time elapsed: 0.002 s
% 14.10/3.12 % (2792719)Peak memory usage: 87 MB
% 14.10/3.12 % (2792718)Instruction limit reached!
% 14.10/3.12 % (2792718)------------------------------
% 14.10/3.12 % (2792718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792718)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792718)Termination reason: Instruction limit
% 14.10/3.12 % (2792718)Termination phase: Saturation
% 14.10/3.12 % (2792718)Time elapsed: 0.101 s
% 14.10/3.12 % (2792718)Peak memory usage: 88 MB
% 14.10/3.12 % (2792718)Instructions burned: 106 (million)
% 14.10/3.12 % (2792728)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=292437733:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 14.10/3.12 % (2792691)First to succeed.
% 14.10/3.12 % (2792691)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2792686"
% 14.10/3.12 % (2792732)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=144947522:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 14.10/3.12 % (2792719)------------------------------
% 14.10/3.12 % (2792719)------------------------------
% 14.10/3.12 % (2792728)Instruction limit reached!
% 14.10/3.12 % (2792728)------------------------------
% 14.10/3.12 % (2792728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.12 % (2792728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.12 % (2792728)CaDiCaL version: 2.1.3
% 14.10/3.12 % (2792728)Termination reason: Instruction limit
% 14.10/3.12 % (2792728)Termination phase: Saturation
% 14.10/3.12 % (2792728)Time elapsed: 0.259 s
% 14.10/3.12 % (2792728)Peak memory usage: 90 MB
% 14.10/3.12 % (2792728)Instructions burned: 242 (million)
% 14.10/3.12 % (2792691)Refutation found. Thanks to Tanya!
% 14.10/3.12 % SZS status Unsatisfiable for theBenchmark
% 14.10/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 16.00/3.46 % (2792691)------------------------------
% 16.00/3.46 % (2792691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.00/3.46 % (2792691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/3.46 % (2792691)CaDiCaL version: 2.1.3
% 16.00/3.46 % (2792691)Termination reason: Refutation
% 16.00/3.46 % (2792691)Time elapsed: 1.447 s
% 16.00/3.46 % (2792691)Peak memory usage: 133 MB
% 16.00/3.46 % (2792691)Instructions burned: 1390 (million)
% 16.00/3.46 % (2792691)------------------------------
% 16.00/3.46 % (2792691)------------------------------
% 16.00/3.46 % (2792686)Success in time 2.184 s
% 16.00/3.46 % Vampire exiting
%------------------------------------------------------------------------------