%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP114-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 10:12:37 AM UTC 2026
% Result : Unsatisfiable 10.97s 2.57s
% Output : Refutation 11.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 34
% Syntax : Number of formulae : 152 ( 65 unt; 17 def)
% Number of atoms : 292 ( 109 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 274 ( 134 ~; 126 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f7,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_involution) ).
fof(f11,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_commutative) ).
fof(f12,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_commutative) ).
fof(f13,axiom,
! [X2,X0,X1] : intersection(X0,intersection(X1,X2)) = intersection(intersection(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_associative) ).
fof(f14,axiom,
! [X2,X0,X1] : union(X0,union(X1,X2)) = union(union(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_associative) ).
fof(f15,axiom,
! [X0,X1] : union(intersection(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_intersection_absorbtion) ).
fof(f16,axiom,
! [X0,X1] : intersection(union(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_union_absorbtion) ).
fof(f17,axiom,
! [X2,X0,X1] : multiply(X0,union(X1,X2)) = union(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_union1) ).
fof(f18,axiom,
! [X2,X0,X1] : multiply(X0,intersection(X1,X2)) = intersection(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_intersection1) ).
fof(f19,axiom,
! [X2,X0,X1] : multiply(union(X0,X1),X2) = union(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_union2) ).
fof(f20,axiom,
! [X2,X0,X1] : multiply(intersection(X0,X1),X2) = intersection(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_intersection2) ).
fof(f21,axiom,
! [X0] : positive_part(X0) = union(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',positive_part) ).
fof(f22,axiom,
! [X0] : negative_part(X0) = intersection(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative_part) ).
fof(f23,negated_conjecture,
multiply(positive_part(a),negative_part(a)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product) ).
fof(f24,plain,
a != multiply(positive_part(a),negative_part(a)),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
a != multiply(union(a,identity),intersection(a,identity)),
inference(definition_unfolding,[],[f24,f21,f22]) ).
fof(f26,definition,
sF0 = union(a,identity),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f27,plain,
union(a,identity) = sF0,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF1 = intersection(a,identity),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f29,plain,
intersection(a,identity) = sF1,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF2 = multiply(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f31,plain,
multiply(sF0,sF1) = sF2,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
a != sF2,
inference(definition_folding,[],[f25,f31,f29,f27]) ).
fof(f33,plain,
sF0 = union(identity,a),
inference(forward_demodulation,[],[f27,f12]) ).
fof(f34,plain,
sF1 = intersection(identity,a),
inference(forward_demodulation,[],[f29,f11]) ).
fof(f36,definition,
( spl3_1
<=> multiply(sF0,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f38,plain,
( multiply(sF0,sF1) = sF2
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,plain,
spl3_1,
inference(avatar_split_clause,[],[f31,f36]) ).
fof(f41,definition,
( spl3_2
<=> sF1 = intersection(identity,a) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f43,plain,
( sF1 = intersection(identity,a)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
spl3_2,
inference(avatar_split_clause,[],[f34,f41]) ).
fof(f46,definition,
( spl3_3
<=> sF0 = union(identity,a) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f48,plain,
( sF0 = union(identity,a)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,plain,
spl3_3,
inference(avatar_split_clause,[],[f33,f46]) ).
fof(f51,definition,
( spl3_4
<=> a = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f53,plain,
( a != sF2
| spl3_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,plain,
~ spl3_4,
inference(avatar_split_clause,[],[f32,f51]) ).
fof(f55,plain,
! [X0,X1] : multiply(union(identity,X1),X0) = union(X0,multiply(X1,X0)),
inference(superposition,[],[f19,f1]) ).
fof(f69,plain,
( ! [X0] : union(X0,multiply(a,X0)) = multiply(sF0,X0)
| ~ spl3_3 ),
inference(superposition,[],[f55,f48]) ).
fof(f81,plain,
! [X0,X1] : multiply(intersection(identity,X1),X0) = intersection(X0,multiply(X1,X0)),
inference(superposition,[],[f20,f1]) ).
fof(f97,plain,
( ! [X0] : intersection(X0,multiply(a,X0)) = multiply(sF1,X0)
| ~ spl3_2 ),
inference(superposition,[],[f81,f43]) ).
fof(f165,plain,
! [X0,X1] : multiply(inverse(X0),union(X0,X1)) = union(identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f17,f3]) ).
fof(f185,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f4,f3]) ).
fof(f203,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f185,f1]) ).
fof(f216,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f203,f3]) ).
fof(f237,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f216,f7]) ).
fof(f239,plain,
( a = union(sF1,a)
| ~ spl3_2 ),
inference(superposition,[],[f15,f43]) ).
fof(f241,plain,
! [X0,X1] : union(intersection(X0,X1),X0) = X0,
inference(superposition,[],[f15,f11]) ).
fof(f252,plain,
! [X0,X1] : union(X0,intersection(X0,X1)) = X0,
inference(forward_demodulation,[],[f241,f12]) ).
fof(f259,plain,
( identity = union(identity,sF1)
| ~ spl3_2 ),
inference(superposition,[],[f252,f43]) ).
fof(f269,plain,
( identity = union(sF1,identity)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f259,f12]) ).
fof(f271,plain,
! [X0,X1] : intersection(union(X0,X1),X0) = X0,
inference(superposition,[],[f16,f12]) ).
fof(f274,plain,
( a = intersection(sF0,a)
| ~ spl3_3 ),
inference(superposition,[],[f16,f48]) ).
fof(f289,plain,
! [X0,X1] : intersection(X0,union(X0,X1)) = X0,
inference(forward_demodulation,[],[f271,f11]) ).
fof(f301,plain,
( identity = intersection(identity,sF0)
| ~ spl3_3 ),
inference(superposition,[],[f289,f48]) ).
fof(f313,plain,
( identity = intersection(sF0,identity)
| ~ spl3_3 ),
inference(forward_demodulation,[],[f301,f11]) ).
fof(f315,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f203,f7]) ).
fof(f327,definition,
( spl3_6
<=> a = intersection(sF0,a) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f329,plain,
( a = intersection(sF0,a)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,plain,
( spl3_6
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f274,f46,f327]) ).
fof(f332,definition,
( spl3_7
<=> a = union(sF1,a) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f334,plain,
( a = union(sF1,a)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f335,plain,
( spl3_7
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f239,f41,f332]) ).
fof(f383,plain,
( ! [X0] : multiply(a,intersection(X0,multiply(a,X0))) = multiply(sF1,multiply(a,X0))
| ~ spl3_2 ),
inference(superposition,[],[f18,f97]) ).
fof(f384,plain,
( ! [X0] : multiply(sF1,multiply(a,X0)) = multiply(a,multiply(sF1,X0))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f383,f97]) ).
fof(f415,plain,
! [X2,X3,X0,X1] : union(multiply(X0,X1),union(multiply(X0,X2),X3)) = union(multiply(X0,union(X1,X2)),X3),
inference(superposition,[],[f14,f17]) ).
fof(f462,plain,
! [X2,X3,X0,X1] : intersection(multiply(X0,X1),intersection(multiply(X0,X2),X3)) = intersection(multiply(X0,intersection(X1,X2)),X3),
inference(superposition,[],[f13,f18]) ).
fof(f923,plain,
! [X2,X3,X0,X1] : union(multiply(X0,union(X3,X2)),multiply(X1,X2)) = union(multiply(X0,X3),multiply(union(X0,X1),X2)),
inference(superposition,[],[f415,f19]) ).
fof(f1009,plain,
( ! [X0,X1] : union(multiply(X0,identity),multiply(union(X0,X1),a)) = union(multiply(X0,sF0),multiply(X1,a))
| ~ spl3_3 ),
inference(superposition,[],[f923,f48]) ).
fof(f1152,plain,
( ! [X0,X1] : union(multiply(X0,sF0),multiply(X1,a)) = union(X0,multiply(union(X0,X1),a))
| ~ spl3_3 ),
inference(forward_demodulation,[],[f1009,f237]) ).
fof(f1372,plain,
! [X2,X3,X0,X1] : intersection(multiply(X0,intersection(X3,X2)),multiply(X1,X2)) = intersection(multiply(X0,X3),multiply(intersection(X0,X1),X2)),
inference(superposition,[],[f462,f20]) ).
fof(f1477,plain,
( ! [X0,X1] : intersection(multiply(X0,identity),multiply(intersection(X0,X1),a)) = intersection(multiply(X0,sF1),multiply(X1,a))
| ~ spl3_2 ),
inference(superposition,[],[f1372,f43]) ).
fof(f1629,plain,
( ! [X0,X1] : intersection(multiply(X0,sF1),multiply(X1,a)) = intersection(X0,multiply(intersection(X0,X1),a))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f1477,f237]) ).
fof(f2105,plain,
( multiply(a,sF1) = multiply(sF1,multiply(a,identity))
| ~ spl3_2 ),
inference(superposition,[],[f384,f237]) ).
fof(f2135,plain,
( multiply(a,sF1) = multiply(sF1,a)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f2105,f237]) ).
fof(f3803,definition,
( spl3_12
<=> identity = intersection(sF0,identity) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f3805,plain,
( identity = intersection(sF0,identity)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f3803]) ).
fof(f3806,plain,
( spl3_12
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f313,f46,f3803]) ).
fof(f3837,definition,
( spl3_13
<=> multiply(a,sF1) = multiply(sF1,a) ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
fof(f3839,plain,
( multiply(a,sF1) = multiply(sF1,a)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f3837]) ).
fof(f3840,plain,
( spl3_13
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f2135,f41,f3837]) ).
fof(f3842,plain,
( multiply(sF0,sF1) = union(sF1,multiply(sF1,a))
| ~ spl3_3
| ~ spl3_13 ),
inference(superposition,[],[f69,f3839]) ).
fof(f3870,plain,
( sF2 = union(sF1,multiply(sF1,a))
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f3842,f38]) ).
fof(f3875,definition,
( spl3_14
<=> identity = union(sF1,identity) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f3877,plain,
( identity = union(sF1,identity)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f3875]) ).
fof(f3878,plain,
( spl3_14
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f269,f41,f3875]) ).
fof(f4901,definition,
( spl3_21
<=> sF2 = union(sF1,multiply(sF1,a)) ),
introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition]) ).
fof(f4903,plain,
( sF2 = union(sF1,multiply(sF1,a))
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f4901]) ).
fof(f4904,plain,
( spl3_21
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f3870,f3837,f46,f36,f4901]) ).
fof(f4908,plain,
( union(identity,multiply(inverse(sF1),multiply(sF1,a))) = multiply(inverse(sF1),sF2)
| ~ spl3_21 ),
inference(superposition,[],[f165,f4903]) ).
fof(f4917,plain,
( union(identity,a) = multiply(inverse(sF1),sF2)
| ~ spl3_21 ),
inference(forward_demodulation,[],[f4908,f203]) ).
fof(f4921,plain,
( sF0 = multiply(inverse(sF1),sF2)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f4917,f48]) ).
fof(f4925,definition,
( spl3_22
<=> sF0 = multiply(inverse(sF1),sF2) ),
introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition]) ).
fof(f4927,plain,
( sF0 = multiply(inverse(sF1),sF2)
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f4925]) ).
fof(f4928,plain,
( spl3_22
| ~ spl3_3
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f4921,f4901,f46,f4925]) ).
fof(f4929,plain,
( sF2 = multiply(sF1,sF0)
| ~ spl3_22 ),
inference(superposition,[],[f315,f4927]) ).
fof(f4992,definition,
( spl3_23
<=> sF2 = multiply(sF1,sF0) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f4994,plain,
( sF2 = multiply(sF1,sF0)
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f4992]) ).
fof(f4995,plain,
( spl3_23
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f4929,f4925,f4992]) ).
fof(f5329,plain,
( union(multiply(sF1,sF0),multiply(identity,a)) = union(sF1,multiply(identity,a))
| ~ spl3_3
| ~ spl3_14 ),
inference(superposition,[],[f1152,f3877]) ).
fof(f5405,plain,
( union(sF1,a) = union(multiply(sF1,sF0),a)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f5329,f1]) ).
fof(f5452,plain,
( union(sF1,a) = union(a,multiply(sF1,sF0))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f5405,f12]) ).
fof(f5480,plain,
( union(sF1,a) = union(a,sF2)
| ~ spl3_3
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5452,f4994]) ).
fof(f5489,plain,
( union(sF1,a) = union(sF2,a)
| ~ spl3_3
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5480,f12]) ).
fof(f5492,plain,
( a = union(sF2,a)
| ~ spl3_3
| ~ spl3_7
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5489,f334]) ).
fof(f5496,definition,
( spl3_26
<=> a = union(sF2,a) ),
introduced(definition,[new_symbols(definition,[spl3_26])],[avatar_definition]) ).
fof(f5498,plain,
( a = union(sF2,a)
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f5496]) ).
fof(f5499,plain,
( spl3_26
| ~ spl3_3
| ~ spl3_7
| ~ spl3_14
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f5492,f4992,f3875,f332,f46,f5496]) ).
fof(f5505,plain,
( sF2 = intersection(sF2,a)
| ~ spl3_26 ),
inference(superposition,[],[f289,f5498]) ).
fof(f6372,definition,
( spl3_28
<=> sF2 = intersection(sF2,a) ),
introduced(definition,[new_symbols(definition,[spl3_28])],[avatar_definition]) ).
fof(f6374,plain,
( sF2 = intersection(sF2,a)
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f6372]) ).
fof(f6375,plain,
( spl3_28
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f5505,f5496,f6372]) ).
fof(f6725,plain,
( intersection(multiply(sF0,sF1),multiply(identity,a)) = intersection(sF0,multiply(identity,a))
| ~ spl3_2
| ~ spl3_12 ),
inference(superposition,[],[f1629,f3805]) ).
fof(f6814,plain,
( intersection(sF0,a) = intersection(multiply(sF0,sF1),a)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f6725,f1]) ).
fof(f6869,plain,
( intersection(sF0,a) = intersection(a,multiply(sF0,sF1))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f6814,f11]) ).
fof(f6898,plain,
( intersection(sF0,a) = intersection(a,sF2)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f6869,f38]) ).
fof(f6909,plain,
( intersection(sF0,a) = intersection(sF2,a)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f6898,f11]) ).
fof(f6913,plain,
( sF2 = intersection(sF0,a)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6909,f6374]) ).
fof(f6916,plain,
( a = sF2
| ~ spl3_1
| ~ spl3_2
| ~ spl3_6
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6913,f329]) ).
fof(f6917,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_subsumption_resolution,[],[f6916,f53]) ).
fof(f6918,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f6917]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
spl3_2,
inference(sat_conversion,[],[f44]) ).
cnf(s3,plain,
spl3_3,
inference(sat_conversion,[],[f49]) ).
cnf(s4,plain,
~ spl3_4,
inference(sat_conversion,[],[f54]) ).
cnf(s6,plain,
( ~ spl3_3
| spl3_6 ),
inference(sat_conversion,[],[f330]) ).
cnf(s7,plain,
( ~ spl3_2
| spl3_7 ),
inference(sat_conversion,[],[f335]) ).
cnf(s12,plain,
( ~ spl3_3
| spl3_12 ),
inference(sat_conversion,[],[f3806]) ).
cnf(s13,plain,
( ~ spl3_2
| spl3_13 ),
inference(sat_conversion,[],[f3840]) ).
cnf(s14,plain,
( ~ spl3_2
| spl3_14 ),
inference(sat_conversion,[],[f3878]) ).
cnf(s21,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_13
| spl3_21 ),
inference(sat_conversion,[],[f4904]) ).
cnf(s22,plain,
( ~ spl3_3
| ~ spl3_21
| spl3_22 ),
inference(sat_conversion,[],[f4928]) ).
cnf(s23,plain,
( ~ spl3_22
| spl3_23 ),
inference(sat_conversion,[],[f4995]) ).
cnf(s26,plain,
( ~ spl3_3
| ~ spl3_7
| ~ spl3_14
| ~ spl3_23
| spl3_26 ),
inference(sat_conversion,[],[f5499]) ).
cnf(s28,plain,
( ~ spl3_26
| spl3_28 ),
inference(sat_conversion,[],[f6375]) ).
cnf(s30,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_28 ),
inference(sat_conversion,[],[f6918]) ).
cnf(s33,plain,
spl3_12,
inference(rat,[],[s12,s3]) ).
cnf(s35,plain,
spl3_6,
inference(rat,[],[s6,s3]) ).
cnf(s38,plain,
spl3_14,
inference(rat,[],[s14,s2]) ).
cnf(s39,plain,
spl3_13,
inference(rat,[],[s13,s2]) ).
cnf(s42,plain,
spl3_7,
inference(rat,[],[s7,s2]) ).
cnf(s43,plain,
~ spl3_28,
inference(rat,[],[s30,s2,s33,s35,s4,s1]) ).
cnf(s44,plain,
spl3_21,
inference(rat,[],[s21,s39,s3,s1]) ).
cnf(s50,plain,
~ spl3_26,
inference(rat,[],[s28,s43]) ).
cnf(s51,plain,
spl3_22,
inference(rat,[],[s22,s3,s44]) ).
cnf(s53,plain,
~ spl3_23,
inference(rat,[],[s26,s42,s38,s3,s50]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s23,s53,s51]) ).
fof(f6919,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP114-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:19:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.44 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
% 10.97/2.56 % (3246269)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.97/2.56 % (3246292)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=482529974:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.97/2.56 % (3246293)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2020926732:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.97/2.56 % (3246294)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1457084285:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.97/2.56 % (3246295)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2895123656:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.97/2.56 % (3246297)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1499741855:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.97/2.56 % (3246298)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4129857371:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.97/2.56 % (3246296)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4254979562:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.97/2.56 % (3246295)Instruction limit reached!
% 10.97/2.56 % (3246295)------------------------------
% 10.97/2.56 % (3246295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.56 % (3246295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.56 % (3246295)CaDiCaL version: 2.1.3
% 10.97/2.56 % (3246295)Termination reason: Instruction limit
% 10.97/2.56 % (3246295)Termination phase: Saturation
% 10.97/2.56 % (3246295)Time elapsed: 0.078 s
% 10.97/2.56 % (3246295)Peak memory usage: 88 MB
% 10.97/2.56 % (3246295)Instructions burned: 137 (million)
% 10.97/2.56 % (3246296)Instruction limit reached!
% 10.97/2.56 % (3246296)------------------------------
% 10.97/2.56 % (3246296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.56 % (3246296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.56 % (3246296)CaDiCaL version: 2.1.3
% 10.97/2.56 % (3246296)Termination reason: Instruction limit
% 10.97/2.56 % (3246296)Termination phase: Saturation
% 10.97/2.56 % (3246296)Time elapsed: 0.108 s
% 10.97/2.56 % (3246296)Peak memory usage: 89 MB
% 10.97/2.56 % (3246296)Instructions burned: 181 (million)
% 10.97/2.56 % (3246297)Instruction limit reached!
% 10.97/2.56 % (3246297)------------------------------
% 10.97/2.56 % (3246297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.56 % (3246297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.56 % (3246297)CaDiCaL version: 2.1.3
% 10.97/2.56 % (3246297)Termination reason: Instruction limit
% 10.97/2.56 % (3246297)Termination phase: Saturation
% 10.97/2.56 % (3246297)Time elapsed: 0.160 s
% 10.97/2.56 % (3246297)Peak memory usage: 90 MB
% 10.97/2.56 % (3246297)Instructions burned: 257 (million)
% 10.97/2.56 % (3246306)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3550886057:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 10.97/2.56 % (3246308)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1184773987:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.97/2.56 % (3246309)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1685867902:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 10.97/2.56 % (3246309)Instruction limit reached!
% 10.97/2.56 % (3246309)------------------------------
% 10.97/2.56 % (3246309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.56 % (3246309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.56 % (3246309)CaDiCaL version: 2.1.3
% 10.97/2.56 % (3246309)Termination reason: Instruction limit
% 10.97/2.56 % (3246309)Termination phase: Saturation
% 10.97/2.56 % (3246309)Time elapsed: 0.109 s
% 10.97/2.57 % (3246309)Peak memory usage: 91 MB
% 10.97/2.57 % (3246309)Instructions burned: 216 (million)
% 10.97/2.57 % (3246378)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1028881366:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 10.97/2.57 % (3246298)Instruction limit reached!
% 10.97/2.57 % (3246298)------------------------------
% 10.97/2.57 % (3246298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.57 % (3246298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.57 % (3246298)CaDiCaL version: 2.1.3
% 10.97/2.57 % (3246298)Termination reason: Instruction limit
% 10.97/2.57 % (3246298)Termination phase: Saturation
% 10.97/2.57 % (3246298)Time elapsed: 0.644 s
% 10.97/2.57 % (3246298)Peak memory usage: 101 MB
% 10.97/2.57 % (3246298)Instructions burned: 1188 (million)
% 10.97/2.57 % (3246378)Instruction limit reached!
% 10.97/2.57 % (3246378)------------------------------
% 10.97/2.57 % (3246378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.57 % (3246378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.57 % (3246378)CaDiCaL version: 2.1.3
% 10.97/2.57 % (3246378)Termination reason: Instruction limit
% 10.97/2.57 % (3246378)Termination phase: Saturation
% 10.97/2.57 % (3246378)Time elapsed: 0.192 s
% 10.97/2.57 % (3246378)Peak memory usage: 93 MB
% 10.97/2.57 % (3246378)Instructions burned: 318 (million)
% 10.97/2.57 % (3246465)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2815403021:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 10.97/2.57 % (3246468)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2705194727:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 10.97/2.57 % (3246292)First to succeed.
% 10.97/2.57 % (3246292)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3246269"
% 10.97/2.57 % (3246292)Refutation found. Thanks to Tanya!
% 10.97/2.57 % SZS status Unsatisfiable for theBenchmark
% 10.97/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 11.59/2.77 % (3246292)------------------------------
% 11.59/2.77 % (3246292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.77 % (3246292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.77 % (3246292)CaDiCaL version: 2.1.3
% 11.59/2.77 % (3246292)Termination reason: Refutation
% 11.59/2.77 % (3246292)Time elapsed: 1.153 s
% 11.59/2.77 % (3246292)Peak memory usage: 143 MB
% 11.59/2.77 % (3246292)Instructions burned: 2158 (million)
% 11.59/2.77 % (3246292)------------------------------
% 11.59/2.77 % (3246292)------------------------------
% 11.59/2.77 % (3246269)Success in time 1.531 s
% 11.59/2.77 % Vampire exiting
%------------------------------------------------------------------------------