%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD054-3 : 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 : n009.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 09:49:15 AM UTC 2026
% Result : Unsatisfiable 13.36s 2.53s
% Output : Refutation 13.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 35
% Syntax : Number of formulae : 159 ( 48 unt; 15 def)
% Number of atoms : 345 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 359 ( 173 ~; 177 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 85 !; 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,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
fof(f31,negated_conjecture,
~ sum(multiplicative_inverse(a),multiplicative_inverse(b),multiply(add(a,b),multiplicative_inverse(multiply(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,definition,
sF0 = multiplicative_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
multiplicative_inverse(a) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF1 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
multiplicative_inverse(b) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF2 = add(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
add(a,b) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF3 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f39,plain,
multiply(a,b) = sF3,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF4 = multiplicative_inverse(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f41,plain,
multiplicative_inverse(sF3) = sF4,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF5 = multiply(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f43,plain,
multiply(sF2,sF4) = sF5,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
~ sum(sF0,sF1,sF5),
inference(definition_folding,[],[f31,f43,f41,f39,f37,f35,f33]) ).
fof(f45,plain,
( sum(a,b,sF2)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f19,f37]) ).
fof(f46,plain,
( sum(a,b,sF2)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f45,f27]) ).
fof(f47,plain,
sum(a,b,sF2),
inference(forward_subsumption_resolution,[],[f46,f28]) ).
fof(f49,plain,
sum(b,a,sF2),
inference(resolution,[],[f5,f47]) ).
fof(f50,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b)) ),
inference(resolution,[],[f18,f30]) ).
fof(f51,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f18,f29]) ).
fof(f53,plain,
defined(multiplicative_inverse(a)),
inference(forward_subsumption_resolution,[],[f51,f27]) ).
fof(f54,plain,
defined(multiplicative_inverse(b)),
inference(forward_subsumption_resolution,[],[f50,f28]) ).
fof(f55,plain,
defined(sF0),
inference(forward_demodulation,[],[f53,f33]) ).
fof(f56,plain,
defined(sF1),
inference(forward_demodulation,[],[f54,f35]) ).
fof(f57,plain,
( product(sF0,a,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f9,f33]) ).
fof(f58,plain,
( product(sF1,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f35]) ).
fof(f59,plain,
( product(sF4,sF3,multiplicative_identity)
| sum(additive_identity,sF3,additive_identity)
| ~ defined(sF3) ),
inference(superposition,[],[f9,f41]) ).
fof(f61,definition,
( spl6_1
<=> defined(sF3) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f62,plain,
( defined(sF3)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
( ~ defined(sF3)
| spl6_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl6_2
<=> sum(additive_identity,sF3,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f66,plain,
( ~ sum(additive_identity,sF3,additive_identity)
| spl6_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( sum(additive_identity,sF3,additive_identity)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl6_3
<=> product(sF4,sF3,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f71,plain,
( product(sF4,sF3,multiplicative_identity)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( ~ spl6_1
| spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f59,f69,f65,f61]) ).
fof(f73,plain,
( product(sF1,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f58,f30]) ).
fof(f74,plain,
( product(sF0,a,multiplicative_identity)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f57,f29]) ).
fof(f75,plain,
product(sF1,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f73,f28]) ).
fof(f76,plain,
product(sF0,a,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f74,f27]) ).
fof(f83,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(f99,plain,
( product(a,b,sF3)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f20,f39]) ).
fof(f100,plain,
( product(sF2,sF4,sF5)
| ~ defined(sF2)
| ~ defined(sF4) ),
inference(superposition,[],[f20,f43]) ).
fof(f102,definition,
( spl6_4
<=> defined(sF4) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f104,plain,
( ~ defined(sF4)
| spl6_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f106,definition,
( spl6_5
<=> defined(sF2) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f110,definition,
( spl6_6
<=> product(sF2,sF4,sF5) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f112,plain,
( product(sF2,sF4,sF5)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( ~ spl6_4
| ~ spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f100,f110,f106,f102]) ).
fof(f114,plain,
( product(a,b,sF3)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f99,f27]) ).
fof(f115,plain,
product(a,b,sF3),
inference(forward_subsumption_resolution,[],[f114,f28]) ).
fof(f125,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,additive_inverse(X0),X3)
| ~ sum(X1,X2,X0)
| ~ defined(X0)
| sum(X1,X3,additive_identity) ),
inference(resolution,[],[f125,f1]) ).
fof(f132,plain,
( defined(sF3)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f16,f39]) ).
fof(f134,plain,
( ~ defined(a)
| ~ defined(b)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f132,f63]) ).
fof(f135,plain,
( ~ defined(b)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f134,f27]) ).
fof(f136,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f135,f28]) ).
fof(f137,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f153,plain,
( defined(sF2)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f13,f37]) ).
fof(f154,plain,
( defined(sF2)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f153,f27]) ).
fof(f155,plain,
defined(sF2),
inference(forward_subsumption_resolution,[],[f154,f28]) ).
fof(f156,plain,
spl6_5,
inference(avatar_split_clause,[],[f155,f106]) ).
fof(f173,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f83,f3]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f195,plain,
product(b,a,sF3),
inference(resolution,[],[f10,f115]) ).
fof(f231,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f129,f125]) ).
fof(f237,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f285,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(f287,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiplicative_identity,multiplicative_identity)
| sum(X1,X2,X2)
| ~ product(X0,X2,X1)
| ~ defined(X2)
| ~ defined(X2) ),
inference(resolution,[],[f285,f8]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,X1)
| sum(X1,X2,X2)
| ~ sum(X0,multiplicative_identity,multiplicative_identity)
| ~ defined(X2) ),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f737,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(f763,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| product(X0,sF3,b)
| ~ defined(b) ),
inference(resolution,[],[f737,f115]) ).
fof(f764,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| product(X0,sF3,a)
| ~ defined(a) ),
inference(resolution,[],[f737,f195]) ).
fof(f769,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| product(X0,sF3,a) ),
inference(forward_subsumption_resolution,[],[f764,f27]) ).
fof(f770,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| product(X0,sF3,b) ),
inference(forward_subsumption_resolution,[],[f763,f28]) ).
fof(f778,plain,
product(sF0,sF3,b),
inference(resolution,[],[f770,f76]) ).
fof(f783,plain,
product(sF3,sF0,b),
inference(resolution,[],[f778,f10]) ).
fof(f801,plain,
! [X0] :
( ~ product(X0,sF3,multiplicative_identity)
| product(X0,b,sF0)
| ~ defined(sF0) ),
inference(resolution,[],[f783,f737]) ).
fof(f802,plain,
! [X0] :
( ~ product(X0,sF3,multiplicative_identity)
| product(X0,b,sF0) ),
inference(forward_subsumption_resolution,[],[f801,f55]) ).
fof(f808,definition,
( spl6_51
<=> sum(sF3,multiplicative_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl6_51])],[avatar_definition]) ).
fof(f809,plain,
( sum(sF3,multiplicative_identity,multiplicative_identity)
| ~ spl6_51 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f810,plain,
( ~ sum(sF3,multiplicative_identity,multiplicative_identity)
| spl6_51 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f1280,plain,
( product(sF4,b,sF0)
| ~ spl6_3 ),
inference(resolution,[],[f802,f71]) ).
fof(f1287,plain,
( product(b,sF4,sF0)
| ~ spl6_3 ),
inference(resolution,[],[f1280,f10]) ).
fof(f1325,plain,
product(sF1,sF3,a),
inference(resolution,[],[f769,f75]) ).
fof(f1330,plain,
product(sF3,sF1,a),
inference(resolution,[],[f1325,f10]) ).
fof(f1347,plain,
( sum(a,sF1,sF1)
| ~ sum(sF3,multiplicative_identity,multiplicative_identity)
| ~ defined(sF1) ),
inference(resolution,[],[f1330,f302]) ).
fof(f1348,plain,
! [X0] :
( ~ product(X0,sF3,multiplicative_identity)
| product(X0,a,sF1)
| ~ defined(sF1) ),
inference(resolution,[],[f1330,f737]) ).
fof(f1349,plain,
! [X0] :
( ~ product(X0,sF3,multiplicative_identity)
| product(X0,a,sF1) ),
inference(forward_subsumption_resolution,[],[f1348,f56]) ).
fof(f1354,plain,
( product(sF4,a,sF1)
| ~ spl6_3 ),
inference(resolution,[],[f1349,f71]) ).
fof(f1360,plain,
( product(a,sF4,sF1)
| ~ spl6_3 ),
inference(resolution,[],[f1354,f10]) ).
fof(f3492,definition,
( spl6_197
<=> sum(a,sF1,sF1) ),
introduced(definition,[new_symbols(definition,[spl6_197])],[avatar_definition]) ).
fof(f3493,plain,
( ~ sum(a,sF1,sF1)
| spl6_197 ),
inference(avatar_component_clause,[],[f3492]) ).
fof(f3494,plain,
( sum(a,sF1,sF1)
| ~ spl6_197 ),
inference(avatar_component_clause,[],[f3492]) ).
fof(f6552,definition,
( spl6_367
<=> sum(a,additive_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl6_367])],[avatar_definition]) ).
fof(f6554,plain,
( sum(a,additive_identity,additive_identity)
| ~ spl6_367 ),
inference(avatar_component_clause,[],[f6552]) ).
fof(f7125,plain,
( sum(sF3,additive_identity,additive_identity)
| ~ spl6_2 ),
inference(resolution,[],[f67,f5]) ).
fof(f7134,plain,
( ! [X0] :
( sum(sF3,X0,X0)
| ~ defined(X0) )
| ~ spl6_2 ),
inference(resolution,[],[f7125,f178]) ).
fof(f7176,plain,
( ~ defined(multiplicative_identity)
| ~ spl6_2
| spl6_51 ),
inference(resolution,[],[f7134,f810]) ).
fof(f7219,plain,
( $false
| ~ spl6_2
| spl6_51 ),
inference(forward_subsumption_resolution,[],[f7176,f17]) ).
fof(f7220,plain,
( ~ spl6_2
| spl6_51 ),
inference(avatar_contradiction_clause,[],[f7219]) ).
fof(f7221,plain,
( ~ sum(sF3,multiplicative_identity,multiplicative_identity)
| ~ defined(sF1)
| spl6_197 ),
inference(forward_subsumption_resolution,[],[f1347,f3493]) ).
fof(f7222,plain,
( ~ defined(sF1)
| ~ spl6_51
| spl6_197 ),
inference(forward_subsumption_resolution,[],[f7221,f809]) ).
fof(f7223,plain,
( $false
| ~ spl6_51
| spl6_197 ),
inference(forward_subsumption_resolution,[],[f7222,f56]) ).
fof(f7224,plain,
( ~ spl6_51
| spl6_197 ),
inference(avatar_contradiction_clause,[],[f7223]) ).
fof(f7305,plain,
( ~ defined(sF1)
| sum(a,additive_identity,additive_identity)
| ~ spl6_197 ),
inference(resolution,[],[f3494,f237]) ).
fof(f7306,plain,
( sum(a,additive_identity,additive_identity)
| ~ spl6_197 ),
inference(forward_subsumption_resolution,[],[f7305,f56]) ).
fof(f7311,plain,
( spl6_367
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f7306,f3492,f6552]) ).
fof(f7318,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl6_367 ),
inference(resolution,[],[f6554,f5]) ).
fof(f7328,plain,
( $false
| ~ spl6_367 ),
inference(forward_subsumption_resolution,[],[f7318,f29]) ).
fof(f7329,plain,
~ spl6_367,
inference(avatar_contradiction_clause,[],[f7328]) ).
fof(f7572,plain,
( ~ defined(sF3)
| defined(multiplicative_inverse(sF3))
| spl6_2 ),
inference(resolution,[],[f66,f18]) ).
fof(f7573,plain,
( defined(multiplicative_inverse(sF3))
| ~ spl6_1
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f7572,f62]) ).
fof(f7574,plain,
( defined(sF4)
| ~ spl6_1
| spl6_2 ),
inference(forward_demodulation,[],[f7573,f41]) ).
fof(f7575,plain,
( $false
| ~ spl6_1
| spl6_2
| spl6_4 ),
inference(forward_subsumption_resolution,[],[f7574,f104]) ).
fof(f7576,plain,
( ~ spl6_1
| spl6_2
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f7575]) ).
fof(f7675,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X1,sF4,X3)
| sum(X2,X3,sF5)
| ~ product(X0,sF4,X2)
| ~ sum(X0,X1,sF2) )
| ~ spl6_6 ),
inference(resolution,[],[f112,f11]) ).
fof(f7916,plain,
( ! [X0,X1] :
( ~ product(X1,sF4,X0)
| sum(X0,sF1,sF5)
| ~ sum(X1,a,sF2) )
| ~ spl6_3
| ~ spl6_6 ),
inference(resolution,[],[f7675,f1360]) ).
fof(f8419,plain,
( sum(sF0,sF1,sF5)
| ~ sum(b,a,sF2)
| ~ spl6_3
| ~ spl6_6 ),
inference(resolution,[],[f7916,f1287]) ).
fof(f8440,plain,
( ~ sum(b,a,sF2)
| ~ spl6_3
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f8419,f44]) ).
fof(f8458,plain,
( $false
| ~ spl6_3
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f8440,f49]) ).
fof(f8459,plain,
( ~ spl6_3
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f8458]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2
| spl6_3 ),
inference(sat_conversion,[],[f72]) ).
cnf(s2,plain,
( ~ spl6_4
| ~ spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
spl6_1,
inference(sat_conversion,[],[f137]) ).
cnf(s4,plain,
spl6_5,
inference(sat_conversion,[],[f156]) ).
cnf(s352,plain,
( ~ spl6_2
| spl6_51 ),
inference(sat_conversion,[],[f7220]) ).
cnf(s353,plain,
( ~ spl6_51
| spl6_197 ),
inference(sat_conversion,[],[f7224]) ).
cnf(s358,plain,
( ~ spl6_197
| spl6_367 ),
inference(sat_conversion,[],[f7311]) ).
cnf(s359,plain,
~ spl6_367,
inference(sat_conversion,[],[f7329]) ).
cnf(s366,plain,
( ~ spl6_1
| spl6_2
| spl6_4 ),
inference(sat_conversion,[],[f7576]) ).
cnf(s426,plain,
( ~ spl6_3
| ~ spl6_6 ),
inference(sat_conversion,[],[f8459]) ).
cnf(s432,plain,
~ spl6_197,
inference(rat,[],[s358,s359]) ).
cnf(s435,plain,
~ spl6_51,
inference(rat,[],[s353,s432]) ).
cnf(s436,plain,
~ spl6_2,
inference(rat,[],[s352,s435]) ).
cnf(s470,plain,
spl6_4,
inference(rat,[],[s366,s436,s3]) ).
cnf(s478,plain,
spl6_6,
inference(rat,[],[s2,s4,s470]) ).
cnf(s479,plain,
~ spl6_3,
inference(rat,[],[s426,s478]) ).
cnf(s480,plain,
$false,
inference(rat,[],[s1,s479,s436,s3]) ).
fof(f8491,plain,
$false,
inference(avatar_sat_refutation,[],[s480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD054-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:42:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 7.55/1.94 % (3659759)Input is clausal, will run a generic CNF schedule.
% 7.55/1.94 % (3659770)dis-21_1_sil=8000:lcm=predicate:random_seed=4065444190: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)
% 7.55/1.94 % (3659769)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1389673948:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.55/1.94 % (3659765)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3885340914:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.55/1.94 % (3659768)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2554585216:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.55/1.94 % (3659767)lrs+10_1_sil=8000:sp=occurrence:random_seed=1782892857:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.55/1.94 % (3659766)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1282209026:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.55/1.94 % (3659764)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=4106930545:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.55/1.94 % (3659770)Instruction limit reached!
% 7.55/1.94 % (3659770)------------------------------
% 7.55/1.94 % (3659770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.94 % (3659770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.94 % (3659770)CaDiCaL version: 2.1.3
% 7.55/1.94 % (3659770)Termination reason: Instruction limit
% 7.55/1.94 % (3659770)Termination phase: Saturation
% 7.55/1.94 % (3659770)Time elapsed: 0.041 s
% 7.55/1.94 % (3659770)Peak memory usage: 89 MB
% 7.55/1.94 % (3659770)Instructions burned: 117 (million)
% 7.55/1.94 % (3659768)Instruction limit reached!
% 7.55/1.94 % (3659768)------------------------------
% 7.55/1.94 % (3659768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.94 % (3659768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.94 % (3659768)CaDiCaL version: 2.1.3
% 7.55/1.94 % (3659768)Termination reason: Instruction limit
% 7.55/1.94 % (3659768)Termination phase: Saturation
% 7.55/1.94 % (3659768)Time elapsed: 0.064 s
% 7.55/1.94 % (3659768)Peak memory usage: 88 MB
% 7.55/1.94 % (3659768)Instructions burned: 115 (million)
% 7.55/1.94 % (3659767)Instruction limit reached!
% 7.55/1.94 % (3659767)------------------------------
% 7.55/1.94 % (3659767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.94 % (3659767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.94 % (3659767)CaDiCaL version: 2.1.3
% 7.55/1.94 % (3659767)Termination reason: Instruction limit
% 7.55/1.94 % (3659767)Termination phase: Saturation
% 7.55/1.94 % (3659767)Time elapsed: 0.065 s
% 7.55/1.94 % (3659767)Peak memory usage: 89 MB
% 7.55/1.94 % (3659767)Instructions burned: 107 (million)
% 7.55/1.94 % (3659769)Instruction limit reached!
% 7.55/1.94 % (3659769)------------------------------
% 7.55/1.94 % (3659769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.94 % (3659769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.94 % (3659769)CaDiCaL version: 2.1.3
% 7.55/1.94 % (3659769)Termination reason: Instruction limit
% 7.55/1.94 % (3659769)Termination phase: Saturation
% 7.55/1.94 % (3659769)Time elapsed: 0.104 s
% 7.55/1.94 % (3659769)Peak memory usage: 88 MB
% 7.55/1.94 % (3659769)Instructions burned: 180 (million)
% 7.55/1.94 % (3659778)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=3712897464:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.55/1.94 % (3659778)Instruction limit reached!
% 7.55/1.94 % (3659778)------------------------------
% 7.55/1.94 % (3659778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.94 % (3659778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.94 % (3659778)CaDiCaL version: 2.1.3
% 7.55/1.94 % (3659778)Termination reason: Instruction limit
% 7.55/1.94 % (3659778)Termination phase: Saturation
% 7.55/1.94 % (3659778)Time elapsed: 0.057 s
% 7.55/1.94 % (3659778)Peak memory usage: 87 MB
% 7.55/1.94 % (3659778)Instructions burned: 154 (million)
% 13.36/2.52 % (3659780)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2516645277:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.36/2.52 % (3659779)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3784340366: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)
% 13.36/2.52 % (3659781)lrs+10_64_to=lpo:sil=8000:random_seed=2428336357:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.36/2.52 % (3659783)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2134286124:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 13.36/2.52 % (3659779)Instruction limit reached!
% 13.36/2.52 % (3659779)------------------------------
% 13.36/2.52 % (3659779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659779)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659779)Termination reason: Instruction limit
% 13.36/2.52 % (3659779)Termination phase: Saturation
% 13.36/2.52 % (3659779)Time elapsed: 0.097 s
% 13.36/2.52 % (3659779)Peak memory usage: 93 MB
% 13.36/2.52 % (3659779)Instructions burned: 189 (million)
% 13.36/2.52 % (3659781)Instruction limit reached!
% 13.36/2.52 % (3659781)------------------------------
% 13.36/2.52 % (3659781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659781)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659781)Termination reason: Instruction limit
% 13.36/2.52 % (3659781)Termination phase: Saturation
% 13.36/2.52 % (3659781)Time elapsed: 0.074 s
% 13.36/2.52 % (3659781)Peak memory usage: 89 MB
% 13.36/2.52 % (3659781)Instructions burned: 127 (million)
% 13.36/2.52 % (3659780)Instruction limit reached!
% 13.36/2.52 % (3659780)------------------------------
% 13.36/2.52 % (3659780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659780)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659780)Termination reason: Instruction limit
% 13.36/2.52 % (3659780)Termination phase: Saturation
% 13.36/2.52 % (3659780)Time elapsed: 0.130 s
% 13.36/2.52 % (3659780)Peak memory usage: 88 MB
% 13.36/2.52 % (3659780)Instructions burned: 219 (million)
% 13.36/2.52 % (3659783)Instruction limit reached!
% 13.36/2.52 % (3659783)------------------------------
% 13.36/2.52 % (3659783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659783)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659783)Termination reason: Instruction limit
% 13.36/2.52 % (3659783)Termination phase: Saturation
% 13.36/2.52 % (3659783)Time elapsed: 0.070 s
% 13.36/2.52 % (3659783)Peak memory usage: 89 MB
% 13.36/2.52 % (3659783)Instructions burned: 197 (million)
% 13.36/2.52 % (3659791)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3777316347:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 13.36/2.52 % (3659788)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2261710143:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 13.36/2.52 % (3659789)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3458038815:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 13.36/2.52 % (3659790)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=902371706:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 13.36/2.52 % (3659791)Instruction limit reached!
% 13.36/2.52 % (3659791)------------------------------
% 13.36/2.52 % (3659791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659791)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659791)Termination reason: Instruction limit
% 13.36/2.52 % (3659791)Termination phase: Saturation
% 13.36/2.52 % (3659791)Time elapsed: 0.039 s
% 13.36/2.52 % (3659791)Peak memory usage: 89 MB
% 13.36/2.52 % (3659791)Instructions burned: 108 (million)
% 13.36/2.52 % (3659790)Instruction limit reached!
% 13.36/2.52 % (3659790)------------------------------
% 13.36/2.52 % (3659790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659790)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659790)Termination reason: Instruction limit
% 13.36/2.52 % (3659790)Termination phase: Saturation
% 13.36/2.52 % (3659790)Time elapsed: 0.054 s
% 13.36/2.52 % (3659790)Peak memory usage: 89 MB
% 13.36/2.52 % (3659790)Instructions burned: 107 (million)
% 13.36/2.52 % (3659788)Instruction limit reached!
% 13.36/2.52 % (3659788)------------------------------
% 13.36/2.52 % (3659788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659788)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659788)Termination reason: Instruction limit
% 13.36/2.52 % (3659788)Termination phase: Saturation
% 13.36/2.52 % (3659788)Time elapsed: 0.111 s
% 13.36/2.52 % (3659788)Peak memory usage: 90 MB
% 13.36/2.52 % (3659788)Instructions burned: 157 (million)
% 13.36/2.52 % (3659796)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=787304156:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 13.36/2.52 % (3659796)Instruction limit reached!
% 13.36/2.52 % (3659796)------------------------------
% 13.36/2.52 % (3659796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659796)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659796)Termination reason: Instruction limit
% 13.36/2.52 % (3659796)Termination phase: Saturation
% 13.36/2.52 % (3659796)Time elapsed: 0.085 s
% 13.36/2.52 % (3659796)Peak memory usage: 89 MB
% 13.36/2.52 % (3659796)Instructions burned: 243 (million)
% 13.36/2.52 % (3659797)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1046765437:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 13.36/2.52 % (3659798)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2595832346:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 13.36/2.52 % (3659800)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1169910492:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 13.36/2.52 % (3659798)Instruction limit reached!
% 13.36/2.52 % (3659798)------------------------------
% 13.36/2.52 % (3659798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659798)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659798)Termination reason: Instruction limit
% 13.36/2.52 % (3659798)Termination phase: Saturation
% 13.36/2.52 % (3659798)Time elapsed: 0.087 s
% 13.36/2.52 % (3659798)Peak memory usage: 89 MB
% 13.36/2.52 % (3659798)Instructions burned: 135 (million)
% 13.36/2.52 % (3659800)Instruction limit reached!
% 13.36/2.52 % (3659800)------------------------------
% 13.36/2.52 % (3659800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.52 % (3659800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.52 % (3659800)CaDiCaL version: 2.1.3
% 13.36/2.52 % (3659800)Termination reason: Instruction limit
% 13.36/2.52 % (3659800)Termination phase: Saturation
% 13.36/2.52 % (3659800)Time elapsed: 0.143 s
% 13.36/2.53 % (3659800)Peak memory usage: 103 MB
% 13.36/2.53 % (3659800)Instructions burned: 500 (million)
% 13.36/2.53 % (3659804)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3178399408:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 13.36/2.53 % (3659805)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=270767671:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 13.36/2.53 % (3659804)Instruction limit reached!
% 13.36/2.53 % (3659804)------------------------------
% 13.36/2.53 % (3659804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.53 % (3659804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.53 % (3659804)CaDiCaL version: 2.1.3
% 13.36/2.53 % (3659804)Termination reason: Instruction limit
% 13.36/2.53 % (3659804)Termination phase: Saturation
% 13.36/2.53 % (3659804)Time elapsed: 0.108 s
% 13.36/2.53 % (3659804)Peak memory usage: 91 MB
% 13.36/2.53 % (3659804)Instructions burned: 193 (million)
% 13.36/2.53 % (3659805)Instruction limit reached!
% 13.36/2.53 % (3659805)------------------------------
% 13.36/2.53 % (3659805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.53 % (3659805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.53 % (3659805)CaDiCaL version: 2.1.3
% 13.36/2.53 % (3659805)Termination reason: Instruction limit
% 13.36/2.53 % (3659805)Termination phase: Saturation
% 13.36/2.53 % (3659805)Time elapsed: 0.163 s
% 13.36/2.53 % (3659805)Peak memory usage: 90 MB
% 13.36/2.53 % (3659805)Instructions burned: 265 (million)
% 13.36/2.53 % (3659808)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3245685030:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 13.36/2.53 % (3659808)Instruction limit reached!
% 13.36/2.53 % (3659808)------------------------------
% 13.36/2.53 % (3659808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.53 % (3659808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.53 % (3659808)CaDiCaL version: 2.1.3
% 13.36/2.53 % (3659808)Termination reason: Instruction limit
% 13.36/2.53 % (3659808)Termination phase: Saturation
% 13.36/2.53 % (3659808)Time elapsed: 0.065 s
% 13.36/2.53 % (3659808)Peak memory usage: 88 MB
% 13.36/2.53 % (3659808)Instructions burned: 156 (million)
% 13.36/2.53 % (3659809)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=2280153975:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 13.36/2.53 % (3659811)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=935525151:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 13.36/2.53 % (3659764)First to succeed.
% 13.36/2.53 % (3659764)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3659759"
% 13.36/2.53 % (3659811)Instruction limit reached!
% 13.36/2.53 % (3659811)------------------------------
% 13.36/2.53 % (3659811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.36/2.53 % (3659811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.36/2.53 % (3659811)CaDiCaL version: 2.1.3
% 13.36/2.53 % (3659811)Termination reason: Instruction limit
% 13.36/2.53 % (3659811)Termination phase: Saturation
% 13.36/2.53 % (3659811)Time elapsed: 0.283 s
% 13.36/2.53 % (3659811)Peak memory usage: 92 MB
% 13.36/2.53 % (3659811)Instructions burned: 537 (million)
% 13.36/2.53 % (3659764)Refutation found. Thanks to Tanya!
% 13.36/2.53 % SZS status Unsatisfiable for theBenchmark
% 13.36/2.53 % SZS output start Proof for theBenchmark
% See solution above
% 13.80/2.72 % (3659764)------------------------------
% 13.80/2.72 % (3659764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/2.72 % (3659764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.72 % (3659764)CaDiCaL version: 2.1.3
% 13.80/2.72 % (3659764)Termination reason: Refutation
% 13.80/2.72 % (3659764)Time elapsed: 1.452 s
% 13.80/2.72 % (3659764)Peak memory usage: 139 MB
% 13.80/2.72 % (3659764)Instructions burned: 2197 (million)
% 13.80/2.72 % (3659764)------------------------------
% 13.80/2.72 % (3659764)------------------------------
% 13.80/2.72 % (3659759)Success in time 1.861 s
% 13.80/2.72 % Vampire exiting
%------------------------------------------------------------------------------