%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL315-3 : 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 : 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 11:51:57 AM UTC 2026
% Result : Unsatisfiable 8.74s 2.15s
% Output : Refutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 32
% Syntax : Number of formulae : 151 ( 108 unt; 21 def)
% Number of atoms : 202 ( 44 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 105 ( 54 ~; 50 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn 132 !; 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,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(implies(equivalent(p,q),equivalent(implies(p,r),implies(q,r)))),
file('/export/starexec/sandbox/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(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(or(not(or(not(or(not(p),r)),or(not(q),r))),not(or(not(or(not(q),r)),or(not(p),r))))))),
inference(definition_unfolding,[],[f11,f6,f12,f12,f6,f6]) ).
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(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,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 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = or(sF3,p),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(sF3,p) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = or(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF2,sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = or(sF0,r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF0,r) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = not(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
not(sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = or(sF3,r),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
or(sF3,r) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = or(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF10,sF11) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF13 = not(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f47,plain,
not(sF12) = sF13,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF14 = not(sF11),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
not(sF11) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF15 = or(sF14,sF9),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
or(sF14,sF9) = sF15,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF16 = not(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f53,plain,
not(sF15) = sF16,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF17 = or(sF13,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f55,plain,
or(sF13,sF16) = sF17,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF18 = not(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f57,plain,
not(sF17) = sF18,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF19 = or(sF8,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f59,plain,
or(sF8,sF18) = sF19,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
~ theorem(sF19),
inference(definition_folding,[],[f19,f59,f57,f55,f53,f51,f39,f21,f49,f43,f27,f47,f45,f43,f27,f41,f39,f21,f37,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f61,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f7,f16]) ).
fof(f62,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f91,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f62]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f61]) ).
fof(f183,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f92,f62]) ).
fof(f219,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f228,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f219,f18]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f91,f18]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f238,f61]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f238,f219]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f238,f91]) ).
fof(f256,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f238,f35]) ).
fof(f278,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(not(sF1),or(sF0,X0)))),
inference(superposition,[],[f62,f23]) ).
fof(f288,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(sF2,or(sF0,X0)))),
inference(forward_demodulation,[],[f278,f25]) ).
fof(f292,plain,
! [X0] : theorem(or(not(or(sF3,X0)),or(sF2,or(sF0,X0)))),
inference(forward_demodulation,[],[f288,f27]) ).
fof(f302,plain,
! [X0] : theorem(or(not(or(not(p),X0)),or(not(sF4),or(sF3,X0)))),
inference(superposition,[],[f62,f29]) ).
fof(f312,plain,
! [X0] : theorem(or(not(or(not(p),X0)),or(sF5,or(sF3,X0)))),
inference(forward_demodulation,[],[f302,f31]) ).
fof(f316,plain,
! [X0] : theorem(or(not(or(sF0,X0)),or(sF5,or(sF3,X0)))),
inference(forward_demodulation,[],[f312,f21]) ).
fof(f327,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f346,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f327,f238]) ).
fof(f348,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f327,f250]) ).
fof(f362,plain,
theorem(or(not(sF18),sF19)),
inference(superposition,[],[f327,f59]) ).
fof(f384,plain,
theorem(or(not(sF17),or(sF16,sF13))),
inference(superposition,[],[f219,f55]) ).
fof(f388,plain,
theorem(or(sF18,or(sF16,sF13))),
inference(forward_demodulation,[],[f384,f57]) ).
fof(f475,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f476,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f475,f238]) ).
fof(f477,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f475,f18]) ).
fof(f484,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f476,f327]) ).
fof(f488,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f249,f219]) ).
fof(f502,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f183,f18]) ).
fof(f549,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,[],[f251,f61]) ).
fof(f551,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f251,f219]) ).
fof(f592,plain,
! [X0] :
( theorem(or(not(or(not(X0),sF18)),sF19))
| ~ theorem(or(sF8,X0)) ),
inference(superposition,[],[f502,f59]) ).
fof(f599,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f346,f250]) ).
fof(f606,plain,
! [X0] :
( ~ theorem(or(X0,sF5))
| theorem(or(X0,sF6)) ),
inference(superposition,[],[f346,f33]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f551,f18]) ).
fof(f618,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f551,f476]) ).
fof(f659,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f549,f18]) ).
fof(f691,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f484,f228]) ).
fof(f922,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f256,f691]) ).
fof(f923,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f922,f37]) ).
fof(f1070,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f599,f92]) ).
fof(f1090,plain,
! [X0] :
( ~ theorem(or(X0,sF2))
| theorem(or(X0,sF6)) ),
inference(superposition,[],[f599,f33]) ).
fof(f1137,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f488,f18]) ).
fof(f1193,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f659,f618]) ).
fof(f1256,plain,
theorem(or(not(or(sF3,r)),or(sF2,sF9))),
inference(superposition,[],[f292,f39]) ).
fof(f1258,plain,
theorem(or(not(sF11),or(sF2,sF9))),
inference(forward_demodulation,[],[f1256,f43]) ).
fof(f1261,plain,
theorem(or(sF14,or(sF2,sF9))),
inference(forward_demodulation,[],[f1258,f49]) ).
fof(f1266,plain,
theorem(or(sF2,or(sF14,sF9))),
inference(resolution,[],[f1261,f92]) ).
fof(f1268,plain,
theorem(or(sF2,sF15)),
inference(forward_demodulation,[],[f1266,f51]) ).
fof(f1271,plain,
theorem(or(sF15,sF2)),
inference(resolution,[],[f1268,f228]) ).
fof(f1458,plain,
! [X0] :
( ~ theorem(or(sF18,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f362,f614]) ).
fof(f1599,plain,
theorem(or(not(or(sF0,r)),or(sF5,sF11))),
inference(superposition,[],[f316,f43]) ).
fof(f1601,plain,
theorem(or(not(sF9),or(sF5,sF11))),
inference(forward_demodulation,[],[f1599,f39]) ).
fof(f1604,plain,
theorem(or(sF10,or(sF5,sF11))),
inference(forward_demodulation,[],[f1601,f41]) ).
fof(f1609,plain,
theorem(or(sF5,or(sF10,sF11))),
inference(resolution,[],[f1604,f92]) ).
fof(f1611,plain,
theorem(or(sF5,sF12)),
inference(forward_demodulation,[],[f1609,f45]) ).
fof(f1614,plain,
theorem(or(sF12,sF5)),
inference(resolution,[],[f1611,f228]) ).
fof(f2000,plain,
theorem(or(or(sF16,sF13),sF19)),
inference(resolution,[],[f1458,f388]) ).
fof(f2089,plain,
theorem(or(sF15,sF6)),
inference(resolution,[],[f1090,f1271]) ).
fof(f2090,plain,
theorem(or(sF15,sF8)),
inference(resolution,[],[f2089,f923]) ).
fof(f2093,plain,
theorem(or(sF8,sF15)),
inference(resolution,[],[f2090,f228]) ).
fof(f2130,plain,
theorem(or(sF16,or(sF19,sF13))),
inference(resolution,[],[f1137,f2000]) ).
fof(f2163,plain,
theorem(or(sF16,or(sF13,sF19))),
inference(resolution,[],[f2130,f250]) ).
fof(f2656,definition,
( spl20_127
<=> theorem(or(not(sF13),sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_127])],[avatar_definition]) ).
fof(f2657,plain,
( theorem(or(not(sF13),sF19))
| ~ spl20_127 ),
inference(avatar_component_clause,[],[f2656]) ).
fof(f2658,plain,
( ~ theorem(or(not(sF13),sF19))
| spl20_127 ),
inference(avatar_component_clause,[],[f2656]) ).
fof(f2898,plain,
theorem(or(sF12,sF6)),
inference(resolution,[],[f606,f1614]) ).
fof(f2900,plain,
theorem(or(sF12,sF8)),
inference(resolution,[],[f2898,f923]) ).
fof(f2903,plain,
theorem(or(sF8,sF12)),
inference(resolution,[],[f2900,f228]) ).
fof(f3018,plain,
( theorem(or(not(or(sF13,sF18)),sF19))
| ~ theorem(or(sF8,sF12)) ),
inference(superposition,[],[f592,f47]) ).
fof(f3019,plain,
( theorem(or(not(or(sF16,sF18)),sF19))
| ~ theorem(or(sF8,sF15)) ),
inference(superposition,[],[f592,f53]) ).
fof(f3021,plain,
theorem(or(not(or(sF16,sF18)),sF19)),
inference(forward_subsumption_resolution,[],[f3019,f2093]) ).
fof(f3022,plain,
theorem(or(not(or(sF13,sF18)),sF19)),
inference(forward_subsumption_resolution,[],[f3018,f2903]) ).
fof(f3063,plain,
! [X0] :
( ~ theorem(or(X0,or(sF16,sF18)))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f3021,f238]) ).
fof(f3067,plain,
! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f3063,f1070]) ).
fof(f3092,plain,
theorem(or(or(sF13,sF19),sF19)),
inference(resolution,[],[f3067,f2163]) ).
fof(f3106,plain,
theorem(or(sF13,or(sF19,sF19))),
inference(resolution,[],[f3092,f1137]) ).
fof(f3110,plain,
( theorem(or(sF19,sF19))
| ~ theorem(or(not(sF13),sF19)) ),
inference(resolution,[],[f3106,f1193]) ).
fof(f3124,plain,
! [X0] :
( ~ theorem(or(X0,or(sF13,sF18)))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f3022,f238]) ).
fof(f3138,plain,
theorem(or(not(sF13),sF19)),
inference(resolution,[],[f3124,f348]) ).
fof(f3145,plain,
( $false
| spl20_127 ),
inference(forward_subsumption_resolution,[],[f3138,f2658]) ).
fof(f3146,plain,
spl20_127,
inference(avatar_contradiction_clause,[],[f3145]) ).
fof(f3147,plain,
( theorem(or(sF19,sF19))
| ~ spl20_127 ),
inference(forward_subsumption_resolution,[],[f3110,f2657]) ).
fof(f3149,plain,
( theorem(sF19)
| ~ spl20_127 ),
inference(resolution,[],[f3147,f477]) ).
fof(f3151,plain,
( $false
| ~ spl20_127 ),
inference(forward_subsumption_resolution,[],[f3149,f60]) ).
fof(f3152,plain,
~ spl20_127,
inference(avatar_contradiction_clause,[],[f3151]) ).
cnf(s111,plain,
spl20_127,
inference(sat_conversion,[],[f3146]) ).
cnf(s112,plain,
~ spl20_127,
inference(sat_conversion,[],[f3152]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s111,s112]) ).
fof(f3153,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL315-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:34:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 8.74/2.15 % (2567834)Input is clausal, will run a generic CNF schedule.
% 8.74/2.15 % (2567842)lrs+10_1_sil=8000:sp=occurrence:random_seed=3166708033:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.74/2.15 % (2567841)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1435226700:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.74/2.15 % (2567840)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2807684074:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.74/2.15 % (2567843)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1224581600:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.74/2.15 % (2567839)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=3250293799:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.74/2.15 % (2567844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4183737228:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.74/2.15 % (2567845)dis-21_1_sil=8000:lcm=predicate:random_seed=2990956138: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)
% 8.74/2.15 % (2567842)Instruction limit reached!
% 8.74/2.15 % (2567842)------------------------------
% 8.74/2.15 % (2567842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567842)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567842)Termination reason: Instruction limit
% 8.74/2.15 % (2567842)Termination phase: Saturation
% 8.74/2.15 % (2567842)Time elapsed: 0.038 s
% 8.74/2.15 % (2567842)Peak memory usage: 89 MB
% 8.74/2.15 % (2567842)Instructions burned: 107 (million)
% 8.74/2.15 % (2567845)Instruction limit reached!
% 8.74/2.15 % (2567845)------------------------------
% 8.74/2.15 % (2567845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567845)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567845)Termination reason: Instruction limit
% 8.74/2.15 % (2567845)Termination phase: Saturation
% 8.74/2.15 % (2567845)Time elapsed: 0.057 s
% 8.74/2.15 % (2567845)Peak memory usage: 87 MB
% 8.74/2.15 % (2567845)Instructions burned: 118 (million)
% 8.74/2.15 % (2567843)Instruction limit reached!
% 8.74/2.15 % (2567843)------------------------------
% 8.74/2.15 % (2567843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567843)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567843)Termination reason: Instruction limit
% 8.74/2.15 % (2567843)Termination phase: Saturation
% 8.74/2.15 % (2567843)Time elapsed: 0.073 s
% 8.74/2.15 % (2567843)Peak memory usage: 88 MB
% 8.74/2.15 % (2567843)Instructions burned: 114 (million)
% 8.74/2.15 % (2567844)Instruction limit reached!
% 8.74/2.15 % (2567844)------------------------------
% 8.74/2.15 % (2567844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567844)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567844)Termination reason: Instruction limit
% 8.74/2.15 % (2567844)Termination phase: Saturation
% 8.74/2.15 % (2567844)Time elapsed: 0.116 s
% 8.74/2.15 % (2567844)Peak memory usage: 89 MB
% 8.74/2.15 % (2567844)Instructions burned: 181 (million)
% 8.74/2.15 % (2567855)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=4206582432:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.74/2.15 % (2567855)Refutation not found, incomplete strategy
% 8.74/2.15 % (2567855)------------------------------
% 8.74/2.15 % (2567855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567855)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567855)Termination reason: Refutation not found, incomplete strategy
% 8.74/2.15 % (2567855)Time elapsed: 0.001 s
% 8.74/2.15 % (2567855)Peak memory usage: 88 MB
% 8.74/2.15 % (2567856)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=668974944: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)
% 8.74/2.15 % (2567856)Refutation not found, incomplete strategy
% 8.74/2.15 % (2567856)------------------------------
% 8.74/2.15 % (2567856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567856)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567856)Termination reason: Refutation not found, incomplete strategy
% 8.74/2.15 % (2567856)Time elapsed: 0.001 s
% 8.74/2.15 % (2567856)Peak memory usage: 87 MB
% 8.74/2.15 % (2567857)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1131007148:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.74/2.15 % (2567857)Refutation not found, incomplete strategy
% 8.74/2.15 % (2567857)------------------------------
% 8.74/2.15 % (2567857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567857)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567857)Termination reason: Refutation not found, incomplete strategy
% 8.74/2.15 % (2567857)Time elapsed: 0.001 s
% 8.74/2.15 % (2567857)Peak memory usage: 87 MB
% 8.74/2.15 % (2567858)lrs+10_64_to=lpo:sil=8000:random_seed=3088713880:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.74/2.15 % (2567855)------------------------------
% 8.74/2.15 % (2567855)------------------------------
% 8.74/2.15 % (2567858)Instruction limit reached!
% 8.74/2.15 % (2567858)------------------------------
% 8.74/2.15 % (2567858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567858)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567858)Termination reason: Instruction limit
% 8.74/2.15 % (2567858)Termination phase: Saturation
% 8.74/2.15 % (2567858)Time elapsed: 0.074 s
% 8.74/2.15 % (2567858)Peak memory usage: 89 MB
% 8.74/2.15 % (2567858)Instructions burned: 128 (million)
% 8.74/2.15 % (2567863)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=693825593:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.74/2.15 % (2567856)------------------------------
% 8.74/2.15 % (2567856)------------------------------
% 8.74/2.15 % (2567857)------------------------------
% 8.74/2.15 % (2567857)------------------------------
% 8.74/2.15 % (2567863)Instruction limit reached!
% 8.74/2.15 % (2567863)------------------------------
% 8.74/2.15 % (2567863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567863)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567863)Termination reason: Instruction limit
% 8.74/2.15 % (2567863)Termination phase: Saturation
% 8.74/2.15 % (2567863)Time elapsed: 0.070 s
% 8.74/2.15 % (2567863)Peak memory usage: 90 MB
% 8.74/2.15 % (2567863)Instructions burned: 196 (million)
% 8.74/2.15 % (2567880)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2181605993:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.74/2.15 % (2567901)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=197101175:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.74/2.15 % (2567880)Instruction limit reached!
% 8.74/2.15 % (2567880)------------------------------
% 8.74/2.15 % (2567880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567880)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567880)Termination reason: Instruction limit
% 8.74/2.15 % (2567880)Termination phase: Saturation
% 8.74/2.15 % (2567880)Time elapsed: 0.096 s
% 8.74/2.15 % (2567880)Peak memory usage: 91 MB
% 8.74/2.15 % (2567880)Instructions burned: 158 (million)
% 8.74/2.15 % (2567903)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=4091051373:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.74/2.15 % (2567909)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1886032929:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.74/2.15 % (2567909)Refutation not found, incomplete strategy
% 8.74/2.15 % (2567909)------------------------------
% 8.74/2.15 % (2567909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567909)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567909)Termination reason: Refutation not found, incomplete strategy
% 8.74/2.15 % (2567909)Time elapsed: 0.001 s
% 8.74/2.15 % (2567909)Peak memory usage: 87 MB
% 8.74/2.15 % (2567903)Instruction limit reached!
% 8.74/2.15 % (2567903)------------------------------
% 8.74/2.15 % (2567903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567903)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567903)Termination reason: Instruction limit
% 8.74/2.15 % (2567903)Termination phase: Saturation
% 8.74/2.15 % (2567903)Time elapsed: 0.055 s
% 8.74/2.15 % (2567903)Peak memory usage: 89 MB
% 8.74/2.15 % (2567903)Instructions burned: 107 (million)
% 8.74/2.15 % (2567918)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2587084745:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.74/2.15 % (2567839)First to succeed.
% 8.74/2.15 % (2567839)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2567834"
% 8.74/2.15 % (2567920)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3612137470:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.74/2.15 % (2567909)------------------------------
% 8.74/2.15 % (2567909)------------------------------
% 8.74/2.15 % (2567918)Instruction limit reached!
% 8.74/2.15 % (2567918)------------------------------
% 8.74/2.15 % (2567918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.15 % (2567918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.15 % (2567918)CaDiCaL version: 2.1.3
% 8.74/2.15 % (2567918)Termination reason: Instruction limit
% 8.74/2.15 % (2567918)Termination phase: Saturation
% 8.74/2.15 % (2567918)Time elapsed: 0.258 s
% 8.74/2.15 % (2567918)Peak memory usage: 90 MB
% 8.74/2.15 % (2567918)Instructions burned: 242 (million)
% 8.74/2.15 % (2567839)Refutation found. Thanks to Tanya!
% 8.74/2.15 % SZS status Unsatisfiable for theBenchmark
% 8.74/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 9.74/2.43 % (2567839)------------------------------
% 9.74/2.43 % (2567839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.43 % (2567839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.43 % (2567839)CaDiCaL version: 2.1.3
% 9.74/2.43 % (2567839)Termination reason: Refutation
% 9.74/2.43 % (2567839)Time elapsed: 0.854 s
% 9.74/2.43 % (2567839)Peak memory usage: 135 MB
% 9.74/2.43 % (2567839)Instructions burned: 1653 (million)
% 9.74/2.43 % (2567839)------------------------------
% 9.74/2.43 % (2567839)------------------------------
% 9.74/2.43 % (2567834)Success in time 1.28 s
% 9.74/2.43 % Vampire exiting
%------------------------------------------------------------------------------