%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD052-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:49:14 AM UTC 2026
% Result : Unsatisfiable 19.74s 3.48s
% Output : Refutation 20.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 42
% Syntax : Number of formulae : 197 ( 65 unt; 20 def)
% Number of atoms : 420 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 430 ( 207 ~; 213 |; 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 : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f13,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6) ).
fof(f33,negated_conjecture,
~ sum(multiply(a,multiplicative_inverse(b)),multiply(c,multiplicative_inverse(d)),multiply(add(multiply(a,d),multiply(b,c)),multiplicative_inverse(multiply(b,d)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_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,d),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f43,plain,
multiply(a,d) = sF4,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF5 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f45,plain,
multiply(b,c) = sF5,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF6 = add(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f47,plain,
add(sF4,sF5) = sF6,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF7 = multiply(b,d),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f49,plain,
multiply(b,d) = sF7,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF8 = multiplicative_inverse(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f51,plain,
multiplicative_inverse(sF7) = sF8,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF9 = multiply(sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f53,plain,
multiply(sF6,sF8) = sF9,
inference(reorient_equations,[],[f52]) ).
fof(f54,plain,
~ sum(sF1,sF3,sF9),
inference(definition_folding,[],[f33,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35]) ).
fof(f55,plain,
( sum(sF4,sF5,sF6)
| ~ defined(sF4)
| ~ defined(sF5) ),
inference(superposition,[],[f19,f47]) ).
fof(f57,definition,
( spl10_1
<=> defined(sF5) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f58,plain,
( defined(sF5)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( ~ defined(sF5)
| spl10_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f61,definition,
( spl10_2
<=> defined(sF4) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f62,plain,
( defined(sF4)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl10_3
<=> sum(sF4,sF5,sF6) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f67,plain,
( sum(sF4,sF5,sF6)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_3 ),
inference(avatar_split_clause,[],[f55,f65,f61,f57]) ).
fof(f69,plain,
( ~ defined(d)
| defined(multiplicative_inverse(d)) ),
inference(resolution,[],[f18,f32]) ).
fof(f70,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b)) ),
inference(resolution,[],[f18,f31]) ).
fof(f71,plain,
defined(multiplicative_inverse(b)),
inference(forward_subsumption_resolution,[],[f70,f28]) ).
fof(f72,plain,
defined(multiplicative_inverse(d)),
inference(forward_subsumption_resolution,[],[f69,f30]) ).
fof(f73,plain,
defined(sF0),
inference(forward_demodulation,[],[f71,f35]) ).
fof(f74,plain,
defined(sF2),
inference(forward_demodulation,[],[f72,f39]) ).
fof(f75,plain,
( product(sF2,d,multiplicative_identity)
| sum(additive_identity,d,additive_identity)
| ~ defined(d) ),
inference(superposition,[],[f9,f39]) ).
fof(f76,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f35]) ).
fof(f77,plain,
( product(sF8,sF7,multiplicative_identity)
| sum(additive_identity,sF7,additive_identity)
| ~ defined(sF7) ),
inference(superposition,[],[f9,f51]) ).
fof(f79,definition,
( spl10_4
<=> defined(sF7) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f80,plain,
( defined(sF7)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( ~ defined(sF7)
| spl10_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl10_5
<=> sum(additive_identity,sF7,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f84,plain,
( ~ sum(additive_identity,sF7,additive_identity)
| spl10_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( sum(additive_identity,sF7,additive_identity)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl10_6
<=> product(sF8,sF7,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f89,plain,
( product(sF8,sF7,multiplicative_identity)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( ~ spl10_4
| spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f77,f87,f83,f79]) ).
fof(f91,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f76,f31]) ).
fof(f92,plain,
( product(sF2,d,multiplicative_identity)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f75,f32]) ).
fof(f93,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f91,f28]) ).
fof(f94,plain,
product(sF2,d,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f92,f30]) ).
fof(f99,plain,
( product(a,sF0,sF1)
| ~ defined(a)
| ~ defined(sF0) ),
inference(superposition,[],[f20,f37]) ).
fof(f100,plain,
( product(a,d,sF4)
| ~ defined(a)
| ~ defined(d) ),
inference(superposition,[],[f20,f43]) ).
fof(f101,plain,
( product(b,d,sF7)
| ~ defined(b)
| ~ defined(d) ),
inference(superposition,[],[f20,f49]) ).
fof(f102,plain,
( product(b,c,sF5)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f20,f45]) ).
fof(f103,plain,
( product(c,sF2,sF3)
| ~ defined(c)
| ~ defined(sF2) ),
inference(superposition,[],[f20,f41]) ).
fof(f104,plain,
( product(sF6,sF8,sF9)
| ~ defined(sF6)
| ~ defined(sF8) ),
inference(superposition,[],[f20,f53]) ).
fof(f106,definition,
( spl10_7
<=> defined(sF8) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f108,plain,
( ~ defined(sF8)
| spl10_7 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl10_8
<=> defined(sF6) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f114,definition,
( spl10_9
<=> product(sF6,sF8,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f116,plain,
( product(sF6,sF8,sF9)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( ~ spl10_7
| ~ spl10_8
| spl10_9 ),
inference(avatar_split_clause,[],[f104,f114,f110,f106]) ).
fof(f118,plain,
( product(c,sF2,sF3)
| ~ defined(sF2) ),
inference(forward_subsumption_resolution,[],[f103,f29]) ).
fof(f119,plain,
( product(b,c,sF5)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f102,f28]) ).
fof(f120,plain,
( product(b,d,sF7)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f101,f28]) ).
fof(f121,plain,
( product(a,d,sF4)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f100,f27]) ).
fof(f122,plain,
( product(a,sF0,sF1)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f99,f27]) ).
fof(f123,plain,
product(c,sF2,sF3),
inference(forward_subsumption_resolution,[],[f118,f74]) ).
fof(f124,plain,
product(b,c,sF5),
inference(forward_subsumption_resolution,[],[f119,f29]) ).
fof(f125,plain,
product(b,d,sF7),
inference(forward_subsumption_resolution,[],[f120,f30]) ).
fof(f126,plain,
product(a,d,sF4),
inference(forward_subsumption_resolution,[],[f121,f30]) ).
fof(f127,plain,
product(a,sF0,sF1),
inference(forward_subsumption_resolution,[],[f122,f73]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f145,plain,
( defined(sF4)
| ~ defined(a)
| ~ defined(d) ),
inference(superposition,[],[f16,f43]) ).
fof(f146,plain,
( defined(sF7)
| ~ defined(b)
| ~ defined(d) ),
inference(superposition,[],[f16,f49]) ).
fof(f147,plain,
( defined(sF5)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f16,f45]) ).
fof(f151,plain,
( ~ defined(b)
| ~ defined(c)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f147,f59]) ).
fof(f152,plain,
( ~ defined(b)
| ~ defined(d)
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f146,f81]) ).
fof(f153,plain,
( defined(sF4)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f145,f27]) ).
fof(f156,plain,
( ~ defined(c)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f151,f28]) ).
fof(f157,plain,
( ~ defined(d)
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f152,f28]) ).
fof(f158,plain,
defined(sF4),
inference(forward_subsumption_resolution,[],[f153,f30]) ).
fof(f160,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f156,f29]) ).
fof(f161,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f162,plain,
( $false
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f157,f30]) ).
fof(f163,plain,
spl10_4,
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f164,plain,
spl10_2,
inference(avatar_split_clause,[],[f158,f61]) ).
fof(f168,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,additive_inverse(X0),X3)
| ~ sum(X1,X2,X0)
| ~ defined(X0)
| sum(X1,X3,additive_identity) ),
inference(resolution,[],[f168,f1]) ).
fof(f175,plain,
( defined(sF6)
| ~ defined(sF4)
| ~ defined(sF5) ),
inference(superposition,[],[f13,f47]) ).
fof(f176,plain,
( defined(sF6)
| ~ defined(sF5)
| ~ spl10_2 ),
inference(forward_subsumption_resolution,[],[f175,f62]) ).
fof(f177,plain,
( defined(sF6)
| ~ spl10_1
| ~ spl10_2 ),
inference(forward_subsumption_resolution,[],[f176,f58]) ).
fof(f178,plain,
( spl10_8
| ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f177,f61,f57,f110]) ).
fof(f201,plain,
product(sF0,a,sF1),
inference(resolution,[],[f10,f127]) ).
fof(f202,plain,
product(sF2,c,sF3),
inference(resolution,[],[f10,f123]) ).
fof(f203,plain,
product(d,a,sF4),
inference(resolution,[],[f10,f126]) ).
fof(f205,plain,
product(d,b,sF7),
inference(resolution,[],[f10,f125]) ).
fof(f275,definition,
( spl10_14
<=> sum(d,sF0,sF0) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f276,plain,
( sum(d,sF0,sF0)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( ~ sum(d,sF0,sF0)
| spl10_14 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f325,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f131,f3]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f454,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f172,f168]) ).
fof(f460,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity) ),
inference(duplicate_literal_removal,[],[f454]) ).
fof(f595,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X2,X0,X4)
| ~ sum(X1,X2,multiplicative_identity)
| sum(X3,X4,X0)
| ~ product(X1,X0,X3)
| ~ defined(X0) ),
inference(resolution,[],[f8,f11]) ).
fof(f651,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiplicative_identity,multiplicative_identity)
| sum(X1,X2,X2)
| ~ product(X0,X2,X1)
| ~ defined(X2)
| ~ defined(X2) ),
inference(resolution,[],[f595,f8]) ).
fof(f675,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,X1)
| sum(X1,X2,X2)
| ~ sum(X0,multiplicative_identity,multiplicative_identity)
| ~ defined(X2) ),
inference(duplicate_literal_removal,[],[f651]) ).
fof(f1595,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X2,X3)
| ~ product(X0,X1,multiplicative_identity)
| product(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f6,f8]) ).
fof(f1612,plain,
! [X2,X0,X1] :
( ~ product(X1,a,X2)
| ~ product(X0,X1,sF0)
| product(X0,X2,sF1) ),
inference(resolution,[],[f6,f201]) ).
fof(f1614,plain,
! [X2,X0,X1] :
( ~ product(X1,c,X2)
| ~ product(X0,X1,sF2)
| product(X0,X2,sF3) ),
inference(resolution,[],[f6,f202]) ).
fof(f1645,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| product(X0,sF7,d)
| ~ defined(d) ),
inference(resolution,[],[f1595,f125]) ).
fof(f1646,plain,
! [X0] :
( ~ product(X0,d,multiplicative_identity)
| product(X0,sF7,b)
| ~ defined(b) ),
inference(resolution,[],[f1595,f205]) ).
fof(f1651,plain,
! [X0] :
( ~ product(X0,d,multiplicative_identity)
| product(X0,sF7,b) ),
inference(forward_subsumption_resolution,[],[f1646,f28]) ).
fof(f1652,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| product(X0,sF7,d) ),
inference(forward_subsumption_resolution,[],[f1645,f30]) ).
fof(f1673,plain,
product(sF0,sF7,d),
inference(resolution,[],[f1652,f93]) ).
fof(f1679,plain,
product(sF7,sF0,d),
inference(resolution,[],[f1673,f10]) ).
fof(f1702,plain,
( sum(d,sF0,sF0)
| ~ sum(sF7,multiplicative_identity,multiplicative_identity)
| ~ defined(sF0) ),
inference(resolution,[],[f1679,f675]) ).
fof(f1703,plain,
! [X0] :
( ~ product(X0,sF7,multiplicative_identity)
| product(X0,d,sF0)
| ~ defined(sF0) ),
inference(resolution,[],[f1679,f1595]) ).
fof(f1704,plain,
! [X0] :
( ~ product(X0,sF7,multiplicative_identity)
| product(X0,d,sF0) ),
inference(forward_subsumption_resolution,[],[f1703,f73]) ).
fof(f1705,plain,
( ~ sum(sF7,multiplicative_identity,multiplicative_identity)
| ~ defined(sF0)
| spl10_14 ),
inference(forward_subsumption_resolution,[],[f1702,f277]) ).
fof(f1727,plain,
( ~ sum(sF7,multiplicative_identity,multiplicative_identity)
| spl10_14 ),
inference(forward_subsumption_resolution,[],[f1705,f73]) ).
fof(f1987,plain,
product(sF2,sF7,b),
inference(resolution,[],[f1651,f94]) ).
fof(f1993,plain,
product(sF7,sF2,b),
inference(resolution,[],[f1987,f10]) ).
fof(f2017,plain,
! [X0] :
( ~ product(X0,sF7,multiplicative_identity)
| product(X0,b,sF2)
| ~ defined(sF2) ),
inference(resolution,[],[f1993,f1595]) ).
fof(f2018,plain,
! [X0] :
( ~ product(X0,sF7,multiplicative_identity)
| product(X0,b,sF2) ),
inference(forward_subsumption_resolution,[],[f2017,f74]) ).
fof(f2214,plain,
( product(sF8,b,sF2)
| ~ spl10_6 ),
inference(resolution,[],[f2018,f89]) ).
fof(f2967,plain,
( product(sF8,d,sF0)
| ~ spl10_6 ),
inference(resolution,[],[f1704,f89]) ).
fof(f3524,plain,
! [X0] :
( ~ product(X0,d,sF0)
| product(X0,sF4,sF1) ),
inference(resolution,[],[f1612,f203]) ).
fof(f3530,plain,
( product(sF8,sF4,sF1)
| ~ spl10_6 ),
inference(resolution,[],[f3524,f2967]) ).
fof(f3533,plain,
( product(sF4,sF8,sF1)
| ~ spl10_6 ),
inference(resolution,[],[f3530,f10]) ).
fof(f3564,plain,
! [X0] :
( ~ product(X0,b,sF2)
| product(X0,sF5,sF3) ),
inference(resolution,[],[f1614,f124]) ).
fof(f3572,plain,
( product(sF8,sF5,sF3)
| ~ spl10_6 ),
inference(resolution,[],[f3564,f2214]) ).
fof(f3575,plain,
( product(sF5,sF8,sF3)
| ~ spl10_6 ),
inference(resolution,[],[f3572,f10]) ).
fof(f13508,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X1,sF8,X3)
| sum(X2,X3,sF9)
| ~ product(X0,sF8,X2)
| ~ sum(X0,X1,sF6) )
| ~ spl10_9 ),
inference(resolution,[],[f116,f11]) ).
fof(f13559,plain,
( ! [X0,X1] :
( ~ product(X1,sF8,X0)
| sum(X0,sF3,sF9)
| ~ sum(X1,sF5,sF6) )
| ~ spl10_6
| ~ spl10_9 ),
inference(resolution,[],[f13508,f3575]) ).
fof(f13735,plain,
( sum(sF1,sF3,sF9)
| ~ sum(sF4,sF5,sF6)
| ~ spl10_6
| ~ spl10_9 ),
inference(resolution,[],[f13559,f3533]) ).
fof(f13766,plain,
( ~ sum(sF4,sF5,sF6)
| ~ spl10_6
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f13735,f54]) ).
fof(f13788,plain,
( $false
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f13766,f67]) ).
fof(f13789,plain,
( ~ spl10_3
| ~ spl10_6
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f13788]) ).
fof(f13845,plain,
( sum(sF7,additive_identity,additive_identity)
| ~ spl10_5 ),
inference(resolution,[],[f85,f5]) ).
fof(f13861,plain,
( ! [X0] :
( sum(sF7,X0,X0)
| ~ defined(X0) )
| ~ spl10_5 ),
inference(resolution,[],[f13845,f329]) ).
fof(f14053,plain,
( ~ defined(multiplicative_identity)
| ~ spl10_5
| spl10_14 ),
inference(resolution,[],[f13861,f1727]) ).
fof(f14119,plain,
( $false
| ~ spl10_5
| spl10_14 ),
inference(forward_subsumption_resolution,[],[f14053,f17]) ).
fof(f14120,plain,
( ~ spl10_5
| spl10_14 ),
inference(avatar_contradiction_clause,[],[f14119]) ).
fof(f16267,plain,
( ~ defined(sF0)
| sum(d,additive_identity,additive_identity)
| ~ spl10_14 ),
inference(resolution,[],[f276,f460]) ).
fof(f16283,plain,
( sum(d,additive_identity,additive_identity)
| ~ spl10_14 ),
inference(forward_subsumption_resolution,[],[f16267,f73]) ).
fof(f16800,plain,
( ~ defined(sF7)
| defined(multiplicative_inverse(sF7))
| spl10_5 ),
inference(resolution,[],[f84,f18]) ).
fof(f16801,plain,
( defined(multiplicative_inverse(sF7))
| ~ spl10_4
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f16800,f80]) ).
fof(f16802,plain,
( defined(sF8)
| ~ spl10_4
| spl10_5 ),
inference(forward_demodulation,[],[f16801,f51]) ).
fof(f16803,plain,
( $false
| ~ spl10_4
| spl10_5
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f16802,f108]) ).
fof(f16804,plain,
( ~ spl10_4
| spl10_5
| spl10_7 ),
inference(avatar_contradiction_clause,[],[f16803]) ).
fof(f16839,plain,
( sum(additive_identity,d,additive_identity)
| ~ spl10_14 ),
inference(resolution,[],[f16283,f5]) ).
fof(f16850,plain,
( $false
| ~ spl10_14 ),
inference(forward_subsumption_resolution,[],[f16839,f32]) ).
fof(f16851,plain,
~ spl10_14,
inference(avatar_contradiction_clause,[],[f16850]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_3 ),
inference(sat_conversion,[],[f68]) ).
cnf(s2,plain,
( ~ spl10_4
| spl10_5
| spl10_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s3,plain,
( ~ spl10_7
| ~ spl10_8
| spl10_9 ),
inference(sat_conversion,[],[f117]) ).
cnf(s4,plain,
spl10_1,
inference(sat_conversion,[],[f161]) ).
cnf(s5,plain,
spl10_4,
inference(sat_conversion,[],[f163]) ).
cnf(s6,plain,
spl10_2,
inference(sat_conversion,[],[f164]) ).
cnf(s7,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_8 ),
inference(sat_conversion,[],[f178]) ).
cnf(s475,plain,
( ~ spl10_3
| ~ spl10_6
| ~ spl10_9 ),
inference(sat_conversion,[],[f13789]) ).
cnf(s478,plain,
( ~ spl10_5
| spl10_14 ),
inference(sat_conversion,[],[f14120]) ).
cnf(s560,plain,
( ~ spl10_4
| spl10_5
| spl10_7 ),
inference(sat_conversion,[],[f16804]) ).
cnf(s562,plain,
~ spl10_14,
inference(sat_conversion,[],[f16851]) ).
cnf(s565,plain,
~ spl10_5,
inference(rat,[],[s478,s562]) ).
cnf(s596,plain,
spl10_7,
inference(rat,[],[s560,s565,s5]) ).
cnf(s599,plain,
spl10_8,
inference(rat,[],[s7,s6,s4]) ).
cnf(s600,plain,
spl10_9,
inference(rat,[],[s3,s599,s596]) ).
cnf(s601,plain,
spl10_6,
inference(rat,[],[s2,s565,s5]) ).
cnf(s602,plain,
~ spl10_3,
inference(rat,[],[s475,s600,s601]) ).
cnf(s603,plain,
$false,
inference(rat,[],[s1,s602,s6,s4]) ).
fof(f16855,plain,
$false,
inference(avatar_sat_refutation,[],[s603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD052-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n005.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 00:40:47 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 10.02/2.10 % (1334104)Input is clausal, will run a generic CNF schedule.
% 10.02/2.10 % (1334112)lrs+10_1_sil=8000:sp=occurrence:random_seed=2453950744:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.02/2.10 % (1334115)dis-21_1_sil=8000:lcm=predicate:random_seed=3977974168: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)
% 10.02/2.10 % (1334109)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=3110686283:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.02/2.10 % (1334110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2489486956:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.02/2.10 % (1334114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2870028667:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.02/2.10 % (1334111)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2011450214:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.02/2.10 % (1334113)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4131070057:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.02/2.10 % (1334112)Instruction limit reached!
% 10.02/2.10 % (1334112)------------------------------
% 10.02/2.10 % (1334112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.10 % (1334112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.10 % (1334112)CaDiCaL version: 2.1.3
% 10.02/2.10 % (1334112)Termination reason: Instruction limit
% 10.02/2.10 % (1334112)Termination phase: Saturation
% 10.02/2.10 % (1334112)Time elapsed: 0.037 s
% 10.02/2.10 % (1334112)Peak memory usage: 89 MB
% 10.02/2.10 % (1334112)Instructions burned: 110 (million)
% 10.02/2.10 % (1334113)Instruction limit reached!
% 10.02/2.10 % (1334113)------------------------------
% 10.02/2.10 % (1334113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.10 % (1334113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.10 % (1334113)CaDiCaL version: 2.1.3
% 10.02/2.10 % (1334113)Termination reason: Instruction limit
% 10.02/2.10 % (1334113)Termination phase: Saturation
% 10.02/2.10 % (1334113)Time elapsed: 0.065 s
% 10.02/2.10 % (1334113)Peak memory usage: 88 MB
% 10.02/2.10 % (1334113)Instructions burned: 115 (million)
% 10.02/2.10 % (1334115)Instruction limit reached!
% 10.02/2.10 % (1334115)------------------------------
% 10.02/2.10 % (1334115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.10 % (1334115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.10 % (1334115)CaDiCaL version: 2.1.3
% 10.02/2.10 % (1334115)Termination reason: Instruction limit
% 10.02/2.10 % (1334115)Termination phase: Saturation
% 10.02/2.10 % (1334115)Time elapsed: 0.073 s
% 10.02/2.10 % (1334115)Peak memory usage: 89 MB
% 10.02/2.10 % (1334115)Instructions burned: 117 (million)
% 10.02/2.10 % (1334114)Instruction limit reached!
% 10.02/2.10 % (1334114)------------------------------
% 10.02/2.10 % (1334114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.10 % (1334114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.10 % (1334114)CaDiCaL version: 2.1.3
% 10.02/2.10 % (1334114)Termination reason: Instruction limit
% 10.02/2.10 % (1334114)Termination phase: Saturation
% 10.02/2.10 % (1334114)Time elapsed: 0.108 s
% 10.02/2.10 % (1334114)Peak memory usage: 88 MB
% 10.02/2.10 % (1334114)Instructions burned: 181 (million)
% 10.02/2.10 % (1334123)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=3088441978:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.02/2.10 % (1334123)Instruction limit reached!
% 10.02/2.10 % (1334123)------------------------------
% 10.02/2.10 % (1334123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.10 % (1334123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.10 % (1334123)CaDiCaL version: 2.1.3
% 10.02/2.10 % (1334123)Termination reason: Instruction limit
% 10.02/2.10 % (1334123)Termination phase: Saturation
% 10.02/2.10 % (1334123)Time elapsed: 0.030 s
% 10.02/2.10 % (1334123)Peak memory usage: 87 MB
% 10.02/2.10 % (1334123)Instructions burned: 145 (million)
% 14.74/2.90 % (1334124)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3304000359: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)
% 14.74/2.90 % (1334125)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3541779751:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.74/2.90 % (1334128)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1741674904:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 14.74/2.90 % (1334127)lrs+10_64_to=lpo:sil=8000:random_seed=555249551:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 14.74/2.90 % (1334124)Instruction limit reached!
% 14.74/2.90 % (1334124)------------------------------
% 14.74/2.90 % (1334124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.74/2.90 % (1334124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/2.90 % (1334124)CaDiCaL version: 2.1.3
% 14.74/2.90 % (1334124)Termination reason: Instruction limit
% 14.74/2.90 % (1334124)Termination phase: Saturation
% 14.74/2.90 % (1334124)Time elapsed: 0.096 s
% 14.74/2.90 % (1334124)Peak memory usage: 93 MB
% 14.74/2.90 % (1334124)Instructions burned: 190 (million)
% 14.74/2.90 % (1334128)Instruction limit reached!
% 14.74/2.90 % (1334128)------------------------------
% 14.74/2.90 % (1334128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.74/2.90 % (1334128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/2.90 % (1334128)CaDiCaL version: 2.1.3
% 14.74/2.90 % (1334128)Termination reason: Instruction limit
% 14.74/2.90 % (1334128)Termination phase: Saturation
% 14.74/2.90 % (1334128)Time elapsed: 0.066 s
% 14.74/2.90 % (1334128)Peak memory usage: 89 MB
% 14.74/2.90 % (1334128)Instructions burned: 196 (million)
% 14.74/2.90 % (1334127)Instruction limit reached!
% 14.74/2.90 % (1334127)------------------------------
% 14.74/2.90 % (1334127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.74/2.90 % (1334127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/2.90 % (1334127)CaDiCaL version: 2.1.3
% 14.74/2.90 % (1334127)Termination reason: Instruction limit
% 14.74/2.90 % (1334127)Termination phase: Saturation
% 14.74/2.90 % (1334127)Time elapsed: 0.071 s
% 14.74/2.90 % (1334127)Peak memory usage: 90 MB
% 14.74/2.90 % (1334127)Instructions burned: 127 (million)
% 14.74/2.90 % (1334125)Instruction limit reached!
% 14.74/2.90 % (1334125)------------------------------
% 14.74/2.90 % (1334125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.74/2.90 % (1334125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/2.90 % (1334125)CaDiCaL version: 2.1.3
% 14.74/2.90 % (1334125)Termination reason: Instruction limit
% 14.74/2.90 % (1334125)Termination phase: Saturation
% 14.74/2.90 % (1334125)Time elapsed: 0.128 s
% 14.74/2.90 % (1334125)Peak memory usage: 88 MB
% 14.74/2.90 % (1334125)Instructions burned: 220 (million)
% 14.74/2.90 % (1334134)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3230299651:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 14.74/2.90 % (1334133)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3847857762:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 14.74/2.90 % (1334135)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=2269553529:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 14.74/2.90 % (1334136)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3345422663:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 14.74/2.90 % (1334135)Instruction limit reached!
% 14.74/2.90 % (1334135)------------------------------
% 14.74/2.90 % (1334135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.74/2.90 % (1334135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/2.90 % (1334135)CaDiCaL version: 2.1.3
% 14.74/2.90 % (1334135)Termination reason: Instruction limit
% 14.74/2.90 % (1334135)Termination phase: Saturation
% 14.74/2.90 % (1334135)Time elapsed: 0.052 s
% 14.74/2.90 % (1334135)Peak memory usage: 89 MB
% 14.74/2.90 % (1334135)Instructions burned: 107 (million)
% 14.74/2.90 % (1334133)Instruction limit reached!
% 14.74/2.90 % (1334133)------------------------------
% 14.74/2.90 % (1334133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334133)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334133)Termination reason: Instruction limit
% 19.74/3.48 % (1334133)Termination phase: Saturation
% 19.74/3.48 % (1334133)Time elapsed: 0.109 s
% 19.74/3.48 % (1334133)Peak memory usage: 90 MB
% 19.74/3.48 % (1334133)Instructions burned: 157 (million)
% 19.74/3.48 % (1334136)Instruction limit reached!
% 19.74/3.48 % (1334136)------------------------------
% 19.74/3.48 % (1334136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334136)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334136)Termination reason: Instruction limit
% 19.74/3.48 % (1334136)Termination phase: Saturation
% 19.74/3.48 % (1334136)Time elapsed: 0.073 s
% 19.74/3.48 % (1334136)Peak memory usage: 89 MB
% 19.74/3.48 % (1334136)Instructions burned: 108 (million)
% 19.74/3.48 % (1334141)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3343145069:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 19.74/3.48 % (1334142)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2541259807:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 19.74/3.48 % (1334143)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2178038476:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 19.74/3.48 % (1334143)Instruction limit reached!
% 19.74/3.48 % (1334143)------------------------------
% 19.74/3.48 % (1334143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334143)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334143)Termination reason: Instruction limit
% 19.74/3.48 % (1334143)Termination phase: Saturation
% 19.74/3.48 % (1334143)Time elapsed: 0.082 s
% 19.74/3.48 % (1334143)Peak memory usage: 89 MB
% 19.74/3.48 % (1334143)Instructions burned: 135 (million)
% 19.74/3.48 % (1334141)Instruction limit reached!
% 19.74/3.48 % (1334141)------------------------------
% 19.74/3.48 % (1334141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334141)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334141)Termination reason: Instruction limit
% 19.74/3.48 % (1334141)Termination phase: Saturation
% 19.74/3.48 % (1334141)Time elapsed: 0.154 s
% 19.74/3.48 % (1334141)Peak memory usage: 89 MB
% 19.74/3.48 % (1334141)Instructions burned: 243 (million)
% 19.74/3.48 % (1334147)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3447758185:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 19.74/3.48 % (1334148)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4009860029:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 19.74/3.48 % (1334148)Instruction limit reached!
% 19.74/3.48 % (1334148)------------------------------
% 19.74/3.48 % (1334148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334148)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334148)Termination reason: Instruction limit
% 19.74/3.48 % (1334148)Termination phase: Saturation
% 19.74/3.48 % (1334148)Time elapsed: 0.110 s
% 19.74/3.48 % (1334148)Peak memory usage: 92 MB
% 19.74/3.48 % (1334148)Instructions burned: 192 (million)
% 19.74/3.48 % (1334151)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2955116402:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 19.74/3.48 % (1334147)Instruction limit reached!
% 19.74/3.48 % (1334147)------------------------------
% 19.74/3.48 % (1334147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334147)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334147)Termination reason: Instruction limit
% 19.74/3.48 % (1334147)Termination phase: Saturation
% 19.74/3.48 % (1334147)Time elapsed: 0.256 s
% 19.74/3.48 % (1334147)Peak memory usage: 105 MB
% 19.74/3.48 % (1334147)Instructions burned: 500 (million)
% 19.74/3.48 % (1334153)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2491911462:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 19.74/3.48 % (1334151)Instruction limit reached!
% 19.74/3.48 % (1334151)------------------------------
% 19.74/3.48 % (1334151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334151)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334151)Termination reason: Instruction limit
% 19.74/3.48 % (1334151)Termination phase: Saturation
% 19.74/3.48 % (1334151)Time elapsed: 0.163 s
% 19.74/3.48 % (1334151)Peak memory usage: 90 MB
% 19.74/3.48 % (1334151)Instructions burned: 265 (million)
% 19.74/3.48 % (1334153)Instruction limit reached!
% 19.74/3.48 % (1334153)------------------------------
% 19.74/3.48 % (1334153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334153)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334153)Termination reason: Instruction limit
% 19.74/3.48 % (1334153)Termination phase: Saturation
% 19.74/3.48 % (1334153)Time elapsed: 0.065 s
% 19.74/3.48 % (1334153)Peak memory usage: 88 MB
% 19.74/3.48 % (1334153)Instructions burned: 157 (million)
% 19.74/3.48 % (1334155)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=3251816999:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 19.74/3.48 % (1334156)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=921260953:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 19.74/3.48 % (1334134)Instruction limit reached!
% 19.74/3.48 % (1334134)------------------------------
% 19.74/3.48 % (1334134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334134)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334134)Termination reason: Instruction limit
% 19.74/3.48 % (1334134)Termination phase: Saturation
% 19.74/3.48 % (1334134)Time elapsed: 1.127 s
% 19.74/3.48 % (1334134)Peak memory usage: 148 MB
% 19.74/3.48 % (1334134)Instructions burned: 3395 (million)
% 19.74/3.48 % (1334159)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=425081002:i=180:bd=preordered:av=off_2983 on theBenchmark for (2983ds/180Mi)
% 19.74/3.48 % (1334159)Instruction limit reached!
% 19.74/3.48 % (1334159)------------------------------
% 19.74/3.48 % (1334159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334159)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334159)Termination reason: Instruction limit
% 19.74/3.48 % (1334159)Termination phase: Saturation
% 19.74/3.48 % (1334159)Time elapsed: 0.049 s
% 19.74/3.48 % (1334159)Peak memory usage: 93 MB
% 19.74/3.48 % (1334159)Instructions burned: 183 (million)
% 19.74/3.48 % (1334161)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=3553589529:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2981 on theBenchmark for (2981ds/10307Mi)
% 19.74/3.48 % (1334156)Instruction limit reached!
% 19.74/3.48 % (1334156)------------------------------
% 19.74/3.48 % (1334156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334156)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334156)Termination reason: Instruction limit
% 19.74/3.48 % (1334156)Termination phase: Saturation
% 19.74/3.48 % (1334156)Time elapsed: 0.296 s
% 19.74/3.48 % (1334156)Peak memory usage: 93 MB
% 19.74/3.48 % (1334156)Instructions burned: 538 (million)
% 19.74/3.48 % (1334163)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=473474037:i=412:gtgl=4:gtg=exists_all_2980 on theBenchmark for (2980ds/412Mi)
% 19.74/3.48 % (1334163)Instruction limit reached!
% 19.74/3.48 % (1334163)------------------------------
% 19.74/3.48 % (1334163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.74/3.48 % (1334163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.48 % (1334163)CaDiCaL version: 2.1.3
% 19.74/3.48 % (1334163)Termination reason: Instruction limit
% 19.74/3.48 % (1334163)Termination phase: Saturation
% 19.74/3.48 % (1334163)Time elapsed: 0.187 s
% 19.74/3.48 % (1334163)Peak memory usage: 91 MB
% 19.74/3.48 % (1334163)Instructions burned: 412 (million)
% 19.74/3.48 % (1334165)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=3562281242:s2pl=no:i=8478:s2at=4:nm=6_2977 on theBenchmark for (2977ds/8478Mi)
% 19.74/3.48 % (1334109)First to succeed.
% 19.74/3.48 % (1334109)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1334104"
% 19.74/3.48 % (1334109)Refutation found. Thanks to Tanya!
% 19.74/3.48 % SZS status Unsatisfiable for theBenchmark
% 19.74/3.48 % SZS output start Proof for theBenchmark
% See solution above
% 20.45/3.67 % (1334109)------------------------------
% 20.45/3.67 % (1334109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.45/3.67 % (1334109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.45/3.67 % (1334109)CaDiCaL version: 2.1.3
% 20.45/3.67 % (1334109)Termination reason: Refutation
% 20.45/3.67 % (1334109)Time elapsed: 2.398 s
% 20.45/3.67 % (1334109)Peak memory usage: 148 MB
% 20.45/3.67 % (1334109)Instructions burned: 3513 (million)
% 20.45/3.67 % (1334109)------------------------------
% 20.45/3.67 % (1334109)------------------------------
% 20.45/3.67 % (1334104)Success in time 2.804 s
% 20.45/3.67 % Vampire exiting
%------------------------------------------------------------------------------