%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD048-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 09:49:12 AM UTC 2026
% Result : Unsatisfiable 35.32s 10.23s
% Output : Refutation 67.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 39
% Syntax : Number of formulae : 157 ( 69 unt; 18 def)
% Number of atoms : 299 ( 16 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 274 ( 132 ~; 132 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| ~ product(X4,X1,X6)
| ~ sum(X5,X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_6) ).
fof(f33,negated_conjecture,
~ product(multiply(a,multiplicative_inverse(b)),multiply(c,multiplicative_inverse(d)),multiply(multiply(a,c),multiplicative_inverse(multiply(b,d)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
fof(f34,definition,
sF0 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f35,plain,
multiplicative_inverse(b) = sF0,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF1 = multiply(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f37,plain,
multiply(a,sF0) = sF1,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF2 = multiplicative_inverse(d),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f39,plain,
multiplicative_inverse(d) = sF2,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF3 = multiply(c,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f41,plain,
multiply(c,sF2) = sF3,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF4 = multiply(a,c),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f43,plain,
multiply(a,c) = sF4,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF5 = multiply(b,d),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f45,plain,
multiply(b,d) = sF5,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF6 = multiplicative_inverse(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f47,plain,
multiplicative_inverse(sF5) = sF6,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF7 = multiply(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f49,plain,
multiply(sF4,sF6) = sF7,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
~ product(sF1,sF3,sF7),
inference(definition_folding,[],[f33,f49,f47,f45,f43,f41,f39,f37,f35]) ).
fof(f51,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f35]) ).
fof(f52,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f51,f31]) ).
fof(f53,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f52,f28]) ).
fof(f54,plain,
( product(sF2,d,multiplicative_identity)
| sum(additive_identity,d,additive_identity)
| ~ defined(d) ),
inference(superposition,[],[f9,f39]) ).
fof(f55,plain,
( product(sF2,d,multiplicative_identity)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f54,f32]) ).
fof(f56,plain,
product(sF2,d,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f55,f30]) ).
fof(f57,plain,
( product(sF6,sF5,multiplicative_identity)
| sum(additive_identity,sF5,additive_identity)
| ~ defined(sF5) ),
inference(superposition,[],[f9,f47]) ).
fof(f59,definition,
( spl8_1
<=> defined(sF5) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f60,plain,
( defined(sF5)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( ~ defined(sF5)
| spl8_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl8_2
<=> sum(additive_identity,sF5,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f64,plain,
( ~ sum(additive_identity,sF5,additive_identity)
| spl8_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl8_3
<=> product(sF6,sF5,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f69,plain,
( product(sF6,sF5,multiplicative_identity)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( ~ spl8_1
| spl8_2
| spl8_3 ),
inference(avatar_split_clause,[],[f57,f67,f63,f59]) ).
fof(f71,plain,
( product(a,sF0,sF1)
| ~ defined(a)
| ~ defined(sF0) ),
inference(superposition,[],[f20,f37]) ).
fof(f72,plain,
( product(a,c,sF4)
| ~ defined(a)
| ~ defined(c) ),
inference(superposition,[],[f20,f43]) ).
fof(f73,plain,
( product(b,d,sF5)
| ~ defined(b)
| ~ defined(d) ),
inference(superposition,[],[f20,f45]) ).
fof(f74,plain,
( product(c,sF2,sF3)
| ~ defined(c)
| ~ defined(sF2) ),
inference(superposition,[],[f20,f41]) ).
fof(f75,plain,
( product(sF4,sF6,sF7)
| ~ defined(sF4)
| ~ defined(sF6) ),
inference(superposition,[],[f20,f49]) ).
fof(f77,definition,
( spl8_4
<=> defined(sF6) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f79,plain,
( ~ defined(sF6)
| spl8_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl8_5
<=> defined(sF4) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f85,definition,
( spl8_6
<=> product(sF4,sF6,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f87,plain,
( product(sF4,sF6,sF7)
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( ~ spl8_4
| ~ spl8_5
| spl8_6 ),
inference(avatar_split_clause,[],[f75,f85,f81,f77]) ).
fof(f89,plain,
( product(c,sF2,sF3)
| ~ defined(sF2) ),
inference(forward_subsumption_resolution,[],[f74,f29]) ).
fof(f90,plain,
( product(b,d,sF5)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f73,f28]) ).
fof(f91,plain,
( product(a,c,sF4)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f72,f27]) ).
fof(f92,plain,
( product(a,sF0,sF1)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f71,f27]) ).
fof(f94,definition,
( spl8_7
<=> defined(sF2) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f95,plain,
( defined(sF2)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( ~ defined(sF2)
| spl8_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f98,definition,
( spl8_8
<=> product(c,sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f100,plain,
( product(c,sF2,sF3)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( ~ spl8_7
| spl8_8 ),
inference(avatar_split_clause,[],[f89,f98,f94]) ).
fof(f102,plain,
product(b,d,sF5),
inference(forward_subsumption_resolution,[],[f90,f30]) ).
fof(f103,plain,
product(a,c,sF4),
inference(forward_subsumption_resolution,[],[f91,f29]) ).
fof(f105,definition,
( spl8_9
<=> defined(sF0) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f106,plain,
( defined(sF0)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( ~ defined(sF0)
| spl8_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f109,definition,
( spl8_10
<=> product(a,sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
fof(f111,plain,
( product(a,sF0,sF1)
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( ~ spl8_9
| spl8_10 ),
inference(avatar_split_clause,[],[f92,f109,f105]) ).
fof(f123,plain,
defined(multiplicative_inverse(b)),
inference(unit_resulting_resolution,[],[f18,f31,f28]) ).
fof(f131,plain,
defined(sF0),
inference(forward_demodulation,[],[f123,f35]) ).
fof(f133,plain,
( $false
| spl8_9 ),
inference(forward_subsumption_resolution,[],[f131,f107]) ).
fof(f134,plain,
spl8_9,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f146,plain,
defined(multiplicative_inverse(d)),
inference(unit_resulting_resolution,[],[f18,f32,f30]) ).
fof(f147,plain,
product(a,d,multiply(a,d)),
inference(unit_resulting_resolution,[],[f20,f27,f30]) ).
fof(f158,plain,
defined(sF2),
inference(forward_demodulation,[],[f146,f39]) ).
fof(f161,plain,
( $false
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f158,f96]) ).
fof(f162,plain,
spl8_7,
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f178,plain,
sum(additive_inverse(b),b,additive_identity),
inference(unit_resulting_resolution,[],[f4,f28]) ).
fof(f183,plain,
product(b,sF0,multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f53]) ).
fof(f184,plain,
product(d,sF2,multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f56]) ).
fof(f186,plain,
( product(sF2,c,sF3)
| ~ spl8_8 ),
inference(unit_resulting_resolution,[],[f10,f100]) ).
fof(f187,plain,
product(c,a,sF4),
inference(unit_resulting_resolution,[],[f10,f103]) ).
fof(f188,plain,
product(d,b,sF5),
inference(unit_resulting_resolution,[],[f10,f102]) ).
fof(f189,plain,
~ product(sF3,sF1,sF7),
inference(unit_resulting_resolution,[],[f10,f50]) ).
fof(f198,plain,
defined(multiply(a,c)),
inference(unit_resulting_resolution,[],[f16,f29,f27]) ).
fof(f234,plain,
( defined(sF5)
| ~ defined(b)
| ~ defined(d) ),
inference(superposition,[],[f16,f45]) ).
fof(f238,plain,
( ~ defined(b)
| ~ defined(d)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f234,f61]) ).
fof(f241,plain,
defined(sF4),
inference(forward_demodulation,[],[f198,f43]) ).
fof(f246,plain,
( ~ defined(d)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f238,f28]) ).
fof(f249,plain,
spl8_5,
inference(avatar_split_clause,[],[f241,f81]) ).
fof(f252,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f246,f30]) ).
fof(f253,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f285,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f286,plain,
product(multiplicative_identity,c,c),
inference(unit_resulting_resolution,[],[f8,f29]) ).
fof(f287,plain,
product(multiplicative_identity,d,d),
inference(unit_resulting_resolution,[],[f8,f30]) ).
fof(f288,plain,
( product(multiplicative_identity,sF0,sF0)
| ~ spl8_9 ),
inference(unit_resulting_resolution,[],[f8,f106]) ).
fof(f289,plain,
( product(multiplicative_identity,sF2,sF2)
| ~ spl8_7 ),
inference(unit_resulting_resolution,[],[f8,f95]) ).
fof(f291,plain,
( sum(additive_identity,sF5,sF5)
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f3,f60]) ).
fof(f328,plain,
( product(sF0,multiplicative_identity,sF0)
| ~ spl8_9 ),
inference(unit_resulting_resolution,[],[f6,f183,f53,f288]) ).
fof(f356,plain,
product(sF2,sF5,b),
inference(unit_resulting_resolution,[],[f6,f188,f56,f285]) ).
fof(f364,plain,
product(sF5,sF2,b),
inference(unit_resulting_resolution,[],[f10,f356]) ).
fof(f365,plain,
product(sF5,multiplicative_identity,sF5),
inference(unit_resulting_resolution,[],[f6,f102,f56,f364]) ).
fof(f393,plain,
product(sF0,sF5,d),
inference(unit_resulting_resolution,[],[f6,f102,f53,f287]) ).
fof(f520,plain,
( product(sF5,sF6,multiplicative_identity)
| ~ spl8_3 ),
inference(unit_resulting_resolution,[],[f10,f69]) ).
fof(f523,plain,
( product(d,sF6,sF0)
| ~ spl8_3
| ~ spl8_9 ),
inference(unit_resulting_resolution,[],[f7,f328,f393,f520]) ).
fof(f565,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f8,f14]) ).
fof(f619,plain,
( product(d,sF3,c)
| ~ spl8_8 ),
inference(unit_resulting_resolution,[],[f6,f186,f184,f286]) ).
fof(f675,plain,
( product(sF3,d,c)
| ~ spl8_8 ),
inference(unit_resulting_resolution,[],[f10,f619]) ).
fof(f876,plain,
~ sum(b,b,b),
inference(unit_resulting_resolution,[],[f2,f31,f178,f178]) ).
fof(f980,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f10,f565]) ).
fof(f1000,plain,
( ~ product(additive_identity,sF2,b)
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f11,f291,f364,f364,f876]) ).
fof(f3154,plain,
( product(multiply(a,d),sF6,sF1)
| ~ spl8_3
| ~ spl8_9
| ~ spl8_10 ),
inference(unit_resulting_resolution,[],[f7,f111,f523,f147]) ).
fof(f3167,plain,
product(d,a,multiply(a,d)),
inference(unit_resulting_resolution,[],[f10,f147]) ).
fof(f3181,plain,
( product(sF3,multiply(a,d),sF4)
| ~ spl8_8 ),
inference(unit_resulting_resolution,[],[f6,f187,f675,f3167]) ).
fof(f3692,plain,
( ~ product(additive_identity,multiplicative_identity,sF5)
| ~ spl8_1
| ~ spl8_7 ),
inference(unit_resulting_resolution,[],[f6,f364,f289,f1000]) ).
fof(f9123,plain,
( ~ sum(additive_identity,sF5,additive_identity)
| ~ spl8_1
| ~ spl8_7 ),
inference(unit_resulting_resolution,[],[f12,f365,f291,f980,f3692]) ).
fof(f9165,plain,
( ~ spl8_2
| ~ spl8_1
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f9123,f94,f59,f63]) ).
fof(f9166,plain,
( defined(multiplicative_inverse(sF5))
| ~ spl8_1
| spl8_2 ),
inference(unit_resulting_resolution,[],[f18,f60,f64]) ).
fof(f9261,plain,
( defined(sF6)
| ~ spl8_1
| spl8_2 ),
inference(forward_demodulation,[],[f9166,f47]) ).
fof(f9263,plain,
( $false
| ~ spl8_1
| spl8_2
| spl8_4 ),
inference(forward_subsumption_resolution,[],[f9261,f79]) ).
fof(f9264,plain,
( ~ spl8_1
| spl8_2
| spl8_4 ),
inference(avatar_contradiction_clause,[],[f9263]) ).
fof(f9423,plain,
( ~ product(multiply(a,d),sF6,sF1)
| ~ spl8_6
| ~ spl8_8 ),
inference(unit_resulting_resolution,[],[f6,f189,f3181,f87]) ).
fof(f9432,plain,
( $false
| ~ spl8_3
| ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(forward_subsumption_resolution,[],[f9423,f3154]) ).
fof(f9433,plain,
( ~ spl8_3
| ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(avatar_contradiction_clause,[],[f9432]) ).
cnf(s45,plain,
( ~ spl8_1
| spl8_2
| spl8_3 ),
inference(sat_conversion,[],[f70]) ).
cnf(s48,plain,
( ~ spl8_4
| ~ spl8_5
| spl8_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s50,plain,
( ~ spl8_7
| spl8_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s52,plain,
( ~ spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f112]) ).
cnf(s69,plain,
spl8_9,
inference(sat_conversion,[],[f134]) ).
cnf(s88,plain,
spl8_7,
inference(sat_conversion,[],[f162]) ).
cnf(s148,plain,
spl8_5,
inference(sat_conversion,[],[f249]) ).
cnf(s152,plain,
spl8_1,
inference(sat_conversion,[],[f253]) ).
cnf(s4526,plain,
( ~ spl8_1
| ~ spl8_2
| ~ spl8_7 ),
inference(sat_conversion,[],[f9165]) ).
cnf(s4603,plain,
( ~ spl8_1
| spl8_2
| spl8_4 ),
inference(sat_conversion,[],[f9264]) ).
cnf(s4754,plain,
( ~ spl8_3
| ~ spl8_6
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(sat_conversion,[],[f9433]) ).
cnf(s4757,plain,
~ spl8_2,
inference(rat,[],[s4526,s152,s88]) ).
cnf(s4758,plain,
spl8_4,
inference(rat,[],[s4603,s152,s4757]) ).
cnf(s4759,plain,
spl8_10,
inference(rat,[],[s52,s69]) ).
cnf(s4760,plain,
spl8_8,
inference(rat,[],[s50,s88]) ).
cnf(s4761,plain,
spl8_6,
inference(rat,[],[s48,s148,s4758]) ).
cnf(s4762,plain,
~ spl8_3,
inference(rat,[],[s4754,s4759,s69,s4760,s4761]) ).
cnf(s4763,plain,
$false,
inference(rat,[],[s45,s4762,s4757,s152]) ).
fof(f9434,plain,
$false,
inference(avatar_sat_refutation,[],[s4763]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD048-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 % Computer : n016.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8046.5625MB
% 0.08/0.24 % OS : Linux 6.8.0-71-generic
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Tue Sep 29 00:43:34 UTC 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running first-order theorem proving
% 0.23/0.30 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
% 19.21/3.64 % (13678)Input is clausal, will run a generic CNF schedule.
% 19.21/3.64 % (13691)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=395797719:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 19.21/3.64 % (13688)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2329588931:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 19.21/3.64 % (13689)lrs+10_1_sil=8000:sp=occurrence:random_seed=1630982170:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 19.21/3.64 % (13687)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=962356234:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 19.21/3.64 % (13686)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=646520476:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 19.21/3.64 % (13690)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2580942751:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 19.21/3.64 % (13692)dis-21_1_sil=8000:lcm=predicate:random_seed=3938982624: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)
% 19.21/3.64 % (13691)Instruction limit reached!
% 19.21/3.64 % (13691)------------------------------
% 19.21/3.64 % (13691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.21/3.64 % (13691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.64 % (13691)CaDiCaL version: 2.1.3
% 19.21/3.64 % (13691)Termination reason: Instruction limit
% 19.21/3.64 % (13691)Termination phase: Saturation
% 19.21/3.64 % (13691)Time elapsed: 0.084 s
% 19.21/3.64 % (13691)Peak memory usage: 89 MB
% 19.21/3.64 % (13691)Instructions burned: 182 (million)
% 19.21/3.64 % (13689)Instruction limit reached!
% 19.21/3.64 % (13689)------------------------------
% 19.21/3.64 % (13689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.21/3.64 % (13689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.64 % (13689)CaDiCaL version: 2.1.3
% 19.21/3.64 % (13689)Termination reason: Instruction limit
% 19.21/3.64 % (13689)Termination phase: Saturation
% 19.21/3.64 % (13689)Time elapsed: 0.108 s
% 19.21/3.64 % (13689)Peak memory usage: 88 MB
% 19.21/3.64 % (13689)Instructions burned: 107 (million)
% 19.21/3.64 % (13690)Instruction limit reached!
% 19.21/3.64 % (13690)------------------------------
% 19.21/3.64 % (13690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.21/3.64 % (13690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.64 % (13690)CaDiCaL version: 2.1.3
% 19.21/3.64 % (13690)Termination reason: Instruction limit
% 19.21/3.64 % (13690)Termination phase: Saturation
% 19.21/3.64 % (13690)Time elapsed: 0.109 s
% 19.21/3.64 % (13690)Peak memory usage: 88 MB
% 19.21/3.64 % (13690)Instructions burned: 114 (million)
% 19.21/3.64 % (13692)Instruction limit reached!
% 19.21/3.64 % (13692)------------------------------
% 19.21/3.64 % (13692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.21/3.64 % (13692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.64 % (13692)CaDiCaL version: 2.1.3
% 19.21/3.64 % (13692)Termination reason: Instruction limit
% 19.21/3.64 % (13692)Termination phase: Saturation
% 19.21/3.64 % (13692)Time elapsed: 0.109 s
% 19.21/3.64 % (13692)Peak memory usage: 89 MB
% 19.21/3.64 % (13692)Instructions burned: 117 (million)
% 19.21/3.64 % (13700)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=2539998527:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 19.21/3.64 % (13700)Instruction limit reached!
% 19.21/3.64 % (13700)------------------------------
% 19.21/3.64 % (13700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.21/3.64 % (13700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.64 % (13700)CaDiCaL version: 2.1.3
% 19.21/3.64 % (13700)Termination reason: Instruction limit
% 19.21/3.64 % (13700)Termination phase: Saturation
% 19.21/3.64 % (13700)Time elapsed: 0.054 s
% 19.21/3.64 % (13700)Peak memory usage: 87 MB
% 19.21/3.64 % (13700)Instructions burned: 144 (million)
% 19.21/3.64 % (13701)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2322952241: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)
% 44.93/7.17 % (13702)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3804899573:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 44.93/7.17 % (13703)lrs+10_64_to=lpo:sil=8000:random_seed=680681988:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 44.93/7.17 % (13701)Instruction limit reached!
% 44.93/7.17 % (13701)------------------------------
% 44.93/7.17 % (13701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.93/7.17 % (13701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.93/7.17 % (13701)CaDiCaL version: 2.1.3
% 44.93/7.17 % (13701)Termination reason: Instruction limit
% 44.93/7.17 % (13701)Termination phase: Saturation
% 44.93/7.17 % (13701)Time elapsed: 0.167 s
% 44.93/7.17 % (13701)Peak memory usage: 93 MB
% 44.93/7.17 % (13701)Instructions burned: 189 (million)
% 44.93/7.17 % (13705)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1799388926:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 44.93/7.17 % (13703)Instruction limit reached!
% 44.93/7.17 % (13703)------------------------------
% 44.93/7.17 % (13703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.93/7.17 % (13703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.93/7.17 % (13703)CaDiCaL version: 2.1.3
% 44.93/7.17 % (13703)Termination reason: Instruction limit
% 44.93/7.17 % (13703)Termination phase: Saturation
% 44.93/7.17 % (13703)Time elapsed: 0.137 s
% 44.93/7.17 % (13703)Peak memory usage: 89 MB
% 44.93/7.17 % (13703)Instructions burned: 126 (million)
% 44.93/7.17 % (13702)Instruction limit reached!
% 44.93/7.17 % (13702)------------------------------
% 44.93/7.17 % (13702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.93/7.17 % (13702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.93/7.17 % (13702)CaDiCaL version: 2.1.3
% 44.93/7.17 % (13702)Termination reason: Instruction limit
% 44.93/7.17 % (13702)Termination phase: Saturation
% 44.93/7.17 % (13702)Time elapsed: 0.213 s
% 44.93/7.17 % (13702)Peak memory usage: 88 MB
% 44.93/7.17 % (13702)Instructions burned: 219 (million)
% 44.93/7.17 % (13705)Instruction limit reached!
% 44.93/7.17 % (13705)------------------------------
% 44.93/7.17 % (13705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.93/7.17 % (13705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.93/7.17 % (13705)CaDiCaL version: 2.1.3
% 44.93/7.17 % (13705)Termination reason: Instruction limit
% 44.93/7.17 % (13705)Termination phase: Saturation
% 44.93/7.17 % (13705)Time elapsed: 0.108 s
% 44.93/7.17 % (13705)Peak memory usage: 89 MB
% 44.93/7.17 % (13705)Instructions burned: 195 (million)
% 44.93/7.17 % (13711)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=201553345:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 44.93/7.17 % (13710)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4156525166:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 44.93/7.17 % (13712)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=3976570773:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 44.93/7.17 % (13713)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2437415929:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 44.93/7.17 % (13713)Refutation not found, incomplete strategy
% 44.93/7.17 % (13713)------------------------------
% 44.93/7.17 % (13713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.93/7.17 % (13713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.93/7.17 % (13713)CaDiCaL version: 2.1.3
% 44.93/7.17 % (13713)Termination reason: Refutation not found, incomplete strategy
% 44.93/7.17 % (13713)Time elapsed: 0.002 s
% 44.93/7.17 % (13713)Peak memory usage: 87 MB
% 44.93/7.17 % (13713)Instructions burned: 1 (million)
% 44.93/7.17 % (13712)Instruction limit reached!
% 44.93/7.17 % (13712)------------------------------
% 44.93/7.17 % (13712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.93/7.17 % (13712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.93/7.17 % (13712)CaDiCaL version: 2.1.3
% 44.93/7.17 % (13712)Termination reason: Instruction limit
% 44.93/7.17 % (13712)Termination phase: Saturation
% 35.32/10.23 % (13712)Time elapsed: 0.098 s
% 35.32/10.23 % (13712)Peak memory usage: 90 MB
% 35.32/10.23 % (13712)Instructions burned: 107 (million)
% 35.32/10.23 % (13710)Instruction limit reached!
% 35.32/10.23 % (13710)------------------------------
% 35.32/10.23 % (13710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13710)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13710)Termination reason: Instruction limit
% 35.32/10.23 % (13710)Termination phase: Saturation
% 35.32/10.23 % (13710)Time elapsed: 0.175 s
% 35.32/10.23 % (13710)Peak memory usage: 90 MB
% 35.32/10.23 % (13710)Instructions burned: 158 (million)
% 35.32/10.23 % (13719)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=116656615:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 35.32/10.23 % (13713)------------------------------
% 35.32/10.23 % (13713)------------------------------
% 35.32/10.23 % (13720)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1573665474:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 35.32/10.23 % (13719)Instruction limit reached!
% 35.32/10.23 % (13719)------------------------------
% 35.32/10.23 % (13719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13719)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13719)Termination reason: Instruction limit
% 35.32/10.23 % (13719)Termination phase: Saturation
% 35.32/10.23 % (13719)Time elapsed: 0.233 s
% 35.32/10.23 % (13719)Peak memory usage: 89 MB
% 35.32/10.23 % (13719)Instructions burned: 242 (million)
% 35.32/10.23 % (13723)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1199090641:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 35.32/10.23 % (13723)Instruction limit reached!
% 35.32/10.23 % (13723)------------------------------
% 35.32/10.23 % (13723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13723)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13723)Termination reason: Instruction limit
% 35.32/10.23 % (13723)Termination phase: Saturation
% 35.32/10.23 % (13723)Time elapsed: 0.146 s
% 35.32/10.23 % (13723)Peak memory usage: 89 MB
% 35.32/10.23 % (13723)Instructions burned: 134 (million)
% 35.32/10.23 % (13725)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1764490130:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 35.32/10.23 % (13727)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2913322517:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 35.32/10.23 % (13727)Instruction limit reached!
% 35.32/10.23 % (13727)------------------------------
% 35.32/10.23 % (13727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13727)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13727)Termination reason: Instruction limit
% 35.32/10.23 % (13727)Termination phase: Saturation
% 35.32/10.23 % (13727)Time elapsed: 0.153 s
% 35.32/10.23 % (13727)Peak memory usage: 92 MB
% 35.32/10.23 % (13727)Instructions burned: 191 (million)
% 35.32/10.23 % (13725)Instruction limit reached!
% 35.32/10.23 % (13725)------------------------------
% 35.32/10.23 % (13725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13725)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13725)Termination reason: Instruction limit
% 35.32/10.23 % (13725)Termination phase: Saturation
% 35.32/10.23 % (13725)Time elapsed: 0.449 s
% 35.32/10.23 % (13725)Peak memory usage: 105 MB
% 35.32/10.23 % (13725)Instructions burned: 500 (million)
% 35.32/10.23 % (13731)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=674299409:i=264:kws=precedence:fsr=off_2976 on theBenchmark for (2976ds/264Mi)
% 35.32/10.23 % (13733)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1967832223:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 35.32/10.23 % (13733)Instruction limit reached!
% 35.32/10.23 % (13733)------------------------------
% 35.32/10.23 % (13733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13733)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13733)Termination reason: Instruction limit
% 35.32/10.23 % (13733)Termination phase: Saturation
% 35.32/10.23 % (13733)Time elapsed: 0.096 s
% 35.32/10.23 % (13733)Peak memory usage: 88 MB
% 35.32/10.23 % (13733)Instructions burned: 157 (million)
% 35.32/10.23 % (13731)Instruction limit reached!
% 35.32/10.23 % (13731)------------------------------
% 35.32/10.23 % (13731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13731)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13731)Termination reason: Instruction limit
% 35.32/10.23 % (13731)Termination phase: Saturation
% 35.32/10.23 % (13731)Time elapsed: 0.267 s
% 35.32/10.23 % (13731)Peak memory usage: 90 MB
% 35.32/10.23 % (13731)Instructions burned: 264 (million)
% 35.32/10.23 % (13736)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1151601959:i=3256:kws=precedence:bd=preordered:av=off_2972 on theBenchmark for (2972ds/3256Mi)
% 35.32/10.23 % (13737)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1837208929:i=537:av=off:ss=included_2971 on theBenchmark for (2971ds/537Mi)
% 35.32/10.23 % (13737)Instruction limit reached!
% 35.32/10.23 % (13737)------------------------------
% 35.32/10.23 % (13737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13737)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13737)Termination reason: Instruction limit
% 35.32/10.23 % (13737)Termination phase: Saturation
% 35.32/10.23 % (13737)Time elapsed: 0.495 s
% 35.32/10.23 % (13737)Peak memory usage: 92 MB
% 35.32/10.23 % (13737)Instructions burned: 537 (million)
% 35.32/10.23 % (13740)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1627601604:i=180:bd=preordered:av=off_2963 on theBenchmark for (2963ds/180Mi)
% 35.32/10.23 % (13740)Instruction limit reached!
% 35.32/10.23 % (13740)------------------------------
% 35.32/10.23 % (13740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13740)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13740)Termination reason: Instruction limit
% 35.32/10.23 % (13740)Termination phase: Saturation
% 35.32/10.23 % (13740)Time elapsed: 0.160 s
% 35.32/10.23 % (13740)Peak memory usage: 93 MB
% 35.32/10.23 % (13740)Instructions burned: 181 (million)
% 35.32/10.23 % (13744)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2922908510:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2958 on theBenchmark for (2958ds/10307Mi)
% 35.32/10.23 % (13711)Instruction limit reached!
% 35.32/10.23 % (13711)------------------------------
% 35.32/10.23 % (13711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13711)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13711)Termination reason: Instruction limit
% 35.32/10.23 % (13711)Termination phase: Saturation
% 35.32/10.23 % (13711)Time elapsed: 3.422 s
% 35.32/10.23 % (13711)Peak memory usage: 149 MB
% 35.32/10.23 % (13711)Instructions burned: 3394 (million)
% 35.32/10.23 % (13747)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3258314707:i=412:gtgl=4:gtg=exists_all_2955 on theBenchmark for (2955ds/412Mi)
% 35.32/10.23 % (13747)Instruction limit reached!
% 35.32/10.23 % (13747)------------------------------
% 35.32/10.23 % (13747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13747)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13747)Termination reason: Instruction limit
% 35.32/10.23 % (13747)Termination phase: Saturation
% 35.32/10.23 % (13747)Time elapsed: 0.337 s
% 35.32/10.23 % (13747)Peak memory usage: 91 MB
% 35.32/10.23 % (13747)Instructions burned: 412 (million)
% 35.32/10.23 % (13750)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=3678374629:s2pl=no:i=8478:s2at=4:nm=6_2948 on theBenchmark for (2948ds/8478Mi)
% 35.32/10.23 % (13736)Instruction limit reached!
% 35.32/10.23 % (13736)------------------------------
% 35.32/10.23 % (13736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13736)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13736)Termination reason: Instruction limit
% 35.32/10.23 % (13736)Termination phase: Saturation
% 35.32/10.23 % (13736)Time elapsed: 3.234 s
% 35.32/10.23 % (13736)Peak memory usage: 148 MB
% 35.32/10.23 % (13736)Instructions burned: 3257 (million)
% 35.32/10.23 % (13752)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=465910496:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2937 on theBenchmark for (2937ds/303Mi)
% 35.32/10.23 % (13752)Instruction limit reached!
% 35.32/10.23 % (13752)------------------------------
% 35.32/10.23 % (13752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13752)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13752)Termination reason: Instruction limit
% 35.32/10.23 % (13752)Termination phase: Saturation
% 35.32/10.23 % (13752)Time elapsed: 0.264 s
% 35.32/10.23 % (13752)Peak memory usage: 92 MB
% 35.32/10.23 % (13752)Instructions burned: 304 (million)
% 35.32/10.23 % (13720)Instruction limit reached!
% 35.32/10.23 % (13720)------------------------------
% 35.32/10.23 % (13720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13720)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13720)Termination reason: Instruction limit
% 35.32/10.23 % (13720)Termination phase: Saturation
% 35.32/10.23 % (13720)Time elapsed: 5.372 s
% 35.32/10.23 % (13720)Peak memory usage: 158 MB
% 35.32/10.23 % (13720)Instructions burned: 5209 (million)
% 35.32/10.23 % (13756)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3647961121:st=4:i=720:sd=3:fsr=off:ss=axioms_2931 on theBenchmark for (2931ds/720Mi)
% 35.32/10.23 % (13757)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3122917948:i=598:bs=on:bd=preordered:av=off:ss=axioms_2930 on theBenchmark for (2930ds/598Mi)
% 35.32/10.23 % (13757)Instruction limit reached!
% 35.32/10.23 % (13757)------------------------------
% 35.32/10.23 % (13757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13757)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13757)Termination reason: Instruction limit
% 35.32/10.23 % (13757)Termination phase: Saturation
% 35.32/10.23 % (13757)Time elapsed: 0.570 s
% 35.32/10.23 % (13757)Peak memory usage: 97 MB
% 35.32/10.23 % (13757)Instructions burned: 598 (million)
% 35.32/10.23 % (13756)Instruction limit reached!
% 35.32/10.23 % (13756)------------------------------
% 35.32/10.23 % (13756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.32/10.23 % (13756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.32/10.23 % (13756)CaDiCaL version: 2.1.3
% 35.32/10.23 % (13756)Termination reason: Instruction limit
% 35.32/10.23 % (13756)Termination phase: Saturation
% 35.32/10.23 % (13756)Time elapsed: 0.684 s
% 35.32/10.23 % (13756)Peak memory usage: 103 MB
% 35.32/10.23 % (13756)Instructions burned: 720 (million)
% 35.32/10.23 % (13764)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=205936611:i=2989:sd=3:ss=axioms:sgt=60_2922 on theBenchmark for (2922ds/2989Mi)
% 35.32/10.23 % (13765)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1293795668:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2922 on theBenchmark for (2922ds/1997Mi)
% 35.32/10.23 % (13750)First to succeed.
% 35.32/10.23 % (13750)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13678"
% 35.32/10.23 % (13750)Refutation found. Thanks to Tanya!
% 35.32/10.23 % SZS status Unsatisfiable for theBenchmark
% 35.32/10.23 % SZS output start Proof for theBenchmark
% See solution above
% 67.17/10.51 % (13750)------------------------------
% 67.17/10.51 % (13750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.17/10.51 % (13750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.17/10.51 % (13750)CaDiCaL version: 2.1.3
% 67.17/10.51 % (13750)Termination reason: Refutation
% 67.17/10.51 % (13750)Time elapsed: 3.437 s
% 67.17/10.51 % (13750)Peak memory usage: 146 MB
% 67.17/10.51 % (13750)Instructions burned: 3596 (million)
% 67.17/10.51 % (13750)------------------------------
% 67.17/10.51 % (13750)------------------------------
% 67.17/10.51 % (13678)Success in time 9.335 s
% 67.17/10.51 % Vampire exiting
%------------------------------------------------------------------------------