%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD041-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:49:40 AM UTC 2026
% Result : Unsatisfiable 23.33s 8.94s
% Output : Refutation 23.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 142 ( 34 unt; 9 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 399 ( 191 ~; 199 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 10 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 115 ( 0 sgn 115 !; 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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X4,X6,X1)
| ~ sum(X3,X4,X5)
| ~ product(X5,X6,X2)
| ~ product(X3,X6,X0)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
fof(f18,axiom,
! [X0] :
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f21,axiom,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,X1)
| sum(additive_identity,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
fof(f23,axiom,
! [X0,X1] :
( ~ defined(X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ less_or_equal(X2,X3)
| less_or_equal(X0,X1)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f26,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',different_identities) ).
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,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
fof(f31,negated_conjecture,
product(a,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f32,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f34,plain,
product(b,a,additive_identity),
inference(resolution,[],[f10,f31]) ).
fof(f35,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f38,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(additive_identity,X0)
| less_or_equal(X0,additive_identity) ),
inference(resolution,[],[f23,f14]) ).
fof(f40,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(multiplicative_identity,X0)
| less_or_equal(X0,multiplicative_identity) ),
inference(resolution,[],[f23,f17]) ).
fof(f42,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(b,X0)
| less_or_equal(X0,b) ),
inference(resolution,[],[f23,f28]) ).
fof(f70,definition,
( spl0_5
<=> less_or_equal(additive_identity,a) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( less_or_equal(additive_identity,a)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_6
<=> less_or_equal(a,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| sum(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,additive_identity,X3)
| ~ sum(X0,X1,X2)
| sum(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f1,f32]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ sum(X1,X3,additive_identity)
| sum(X2,X3,X0)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f2,f32]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,multiplicative_identity)
| ~ product(X1,X2,X3)
| product(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f6,f8]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ product(X1,b,X2)
| ~ product(X0,X1,a)
| product(X0,X2,additive_identity) ),
inference(resolution,[],[f6,f31]) ).
fof(f101,plain,
! [X0] :
( ~ product(X0,a,a)
| product(X0,additive_identity,additive_identity) ),
inference(resolution,[],[f98,f31]) ).
fof(f107,plain,
( product(multiplicative_identity,additive_identity,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f101,f8]) ).
fof(f108,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference(global_subsumption,[],[f107,f27]) ).
fof(f116,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(resolution,[],[f108,f10]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,multiplicative_identity,X3)
| ~ product(X1,multiplicative_identity,X2)
| ~ sum(X0,additive_identity,X1)
| sum(X3,additive_identity,X2) ),
inference(resolution,[],[f116,f11]) ).
fof(f137,plain,
( less_or_equal(b,b)
| less_or_equal(b,b) ),
inference(resolution,[],[f42,f28]) ).
fof(f138,plain,
less_or_equal(b,b),
inference(duplicate_literal_removal,[],[f137]) ).
fof(f158,plain,
( less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[],[f38,f14]) ).
fof(f163,plain,
less_or_equal(additive_identity,additive_identity),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f181,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity) ),
inference(resolution,[],[f9,f17]) ).
fof(f183,plain,
( sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(resolution,[],[f9,f28]) ).
fof(f184,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(global_subsumption,[],[f183,f30]) ).
fof(f187,definition,
( spl0_14
<=> product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f189,plain,
( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,definition,
( spl0_15
<=> sum(additive_identity,multiplicative_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f193,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f181,f191,f187]) ).
fof(f200,definition,
( spl0_17
<=> sum(additive_identity,additive_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f202,plain,
( sum(additive_identity,additive_identity,additive_identity)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f208,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,X1,X0)
| ~ defined(X0)
| ~ defined(additive_identity) ),
inference(resolution,[],[f78,f32]) ).
fof(f209,plain,
! [X0,X1] :
( ~ defined(X0)
| sum(additive_identity,X1,X0)
| ~ sum(additive_identity,X0,X1) ),
inference(global_subsumption,[],[f208,f14]) ).
fof(f257,plain,
( ~ less_or_equal(a,additive_identity)
| sum(additive_identity,a,additive_identity)
| ~ spl0_5 ),
inference(resolution,[],[f72,f21]) ).
fof(f258,plain,
( ~ less_or_equal(a,additive_identity)
| ~ spl0_5 ),
inference(global_subsumption,[],[f257,f29]) ).
fof(f259,plain,
( ~ spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f258,f70,f74]) ).
fof(f267,plain,
( ~ less_or_equal(b,b)
| sum(additive_identity,b,b) ),
inference(resolution,[],[f138,f21]) ).
fof(f268,plain,
sum(additive_identity,b,b),
inference(global_subsumption,[],[f267,f138]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| ~ sum(X2,additive_identity,X0)
| sum(X2,additive_identity,X1)
| ~ defined(X2) ),
inference(resolution,[],[f121,f35]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ sum(additive_identity,X2,X1)
| ~ sum(additive_identity,X2,X0)
| less_or_equal(X0,X1) ),
inference(resolution,[],[f163,f24]) ).
fof(f300,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(resolution,[],[f163,f21]) ).
fof(f301,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(global_subsumption,[],[f300,f163]) ).
fof(f302,plain,
spl0_17,
inference(avatar_split_clause,[],[f301,f200]) ).
fof(f320,plain,
( ! [X2,X0,X1] :
( ~ sum(X1,additive_identity,X2)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X2,additive_identity) )
| ~ spl0_17 ),
inference(resolution,[],[f202,f1]) ).
fof(f327,plain,
! [X0,X1] :
( ~ product(b,X0,X1)
| product(multiplicative_inverse(b),X1,X0)
| ~ defined(X0) ),
inference(resolution,[],[f184,f97]) ).
fof(f331,plain,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(resolution,[],[f184,f10]) ).
fof(f340,plain,
( ! [X0] :
( ~ sum(X0,additive_identity,multiplicative_inverse(multiplicative_identity))
| sum(X0,additive_identity,multiplicative_identity)
| ~ defined(X0) )
| ~ spl0_14 ),
inference(resolution,[],[f189,f289]) ).
fof(f368,plain,
( less_or_equal(multiplicative_identity,multiplicative_identity)
| less_or_equal(multiplicative_identity,multiplicative_identity) ),
inference(resolution,[],[f40,f17]) ).
fof(f371,plain,
less_or_equal(multiplicative_identity,multiplicative_identity),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f374,plain,
( defined(multiplicative_inverse(multiplicative_identity))
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(resolution,[],[f18,f17]) ).
fof(f380,definition,
( spl0_20
<=> defined(multiplicative_inverse(multiplicative_identity)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f383,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f374,f380,f191]) ).
fof(f395,plain,
! [X0] :
( ~ sum(additive_identity,multiplicative_identity,X0)
| sum(additive_identity,X0,multiplicative_identity) ),
inference(resolution,[],[f209,f17]) ).
fof(f404,plain,
( sum(multiplicative_inverse(multiplicative_identity),additive_identity,multiplicative_identity)
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ spl0_14 ),
inference(resolution,[],[f340,f32]) ).
fof(f405,plain,
( sum(multiplicative_inverse(multiplicative_identity),additive_identity,multiplicative_identity)
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f407,definition,
( spl0_21
<=> sum(multiplicative_inverse(multiplicative_identity),additive_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f409,plain,
( sum(multiplicative_inverse(multiplicative_identity),additive_identity,multiplicative_identity)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f410,plain,
( ~ spl0_20
| spl0_21
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f405,f187,f407,f380]) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ sum(a,X0,X2)
| sum(X2,X1,a)
| ~ sum(X0,X1,additive_identity) ),
inference(resolution,[],[f86,f27]) ).
fof(f584,plain,
! [X2,X0,X1] :
( ~ sum(multiplicative_identity,X2,X1)
| ~ sum(multiplicative_identity,X2,X0)
| less_or_equal(X0,X1) ),
inference(resolution,[],[f371,f24]) ).
fof(f621,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,multiplicative_inverse(b),X3)
| ~ product(X1,multiplicative_inverse(b),X2)
| ~ sum(X0,b,X1)
| sum(X3,multiplicative_identity,X2) ),
inference(resolution,[],[f331,f11]) ).
fof(f712,plain,
( sum(additive_identity,additive_identity,multiplicative_identity)
| ~ spl0_15 ),
inference(resolution,[],[f395,f193]) ).
fof(f713,plain,
( $false
| ~ spl0_15 ),
inference(global_subsumption,[],[f712,f26]) ).
fof(f714,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f776,definition,
( spl0_49
<=> less_or_equal(multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f778,plain,
( less_or_equal(multiplicative_inverse(multiplicative_identity),multiplicative_identity)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f807,plain,
( ! [X0,X1] :
( ~ sum(X0,multiplicative_inverse(multiplicative_identity),X1)
| sum(X0,multiplicative_identity,X1)
| ~ defined(X1) )
| ~ spl0_21 ),
inference(resolution,[],[f409,f79]) ).
fof(f812,plain,
( sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity)
| ~ spl0_21 ),
inference(resolution,[],[f409,f5]) ).
fof(f878,plain,
( sum(additive_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ spl0_21 ),
inference(resolution,[],[f807,f3]) ).
fof(f881,plain,
( sum(additive_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f878]) ).
fof(f884,definition,
( spl0_60
<=> sum(additive_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity)) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f886,plain,
( sum(additive_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f887,plain,
( ~ spl0_20
| spl0_60
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f881,f407,f884,f380]) ).
fof(f905,plain,
( sum(multiplicative_identity,additive_identity,multiplicative_inverse(multiplicative_identity))
| ~ spl0_60 ),
inference(resolution,[],[f886,f5]) ).
fof(f945,plain,
( product(multiplicative_inverse(b),additive_identity,a)
| ~ defined(a) ),
inference(resolution,[],[f327,f34]) ).
fof(f948,plain,
product(multiplicative_inverse(b),additive_identity,a),
inference(global_subsumption,[],[f945,f27]) ).
fof(f955,plain,
product(additive_identity,multiplicative_inverse(b),a),
inference(resolution,[],[f948,f10]) ).
fof(f971,plain,
( ! [X0] :
( ~ sum(additive_identity,multiplicative_inverse(multiplicative_identity),X0)
| less_or_equal(X0,multiplicative_identity) )
| ~ spl0_21 ),
inference(resolution,[],[f299,f812]) ).
fof(f1067,plain,
( less_or_equal(multiplicative_inverse(multiplicative_identity),multiplicative_identity)
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ spl0_21 ),
inference(resolution,[],[f971,f3]) ).
fof(f1097,plain,
( ! [X0] :
( ~ sum(X0,multiplicative_inverse(multiplicative_identity),additive_identity)
| sum(X0,multiplicative_identity,additive_identity) )
| ~ spl0_17
| ~ spl0_21 ),
inference(resolution,[],[f320,f409]) ).
fof(f1098,plain,
( ! [X0] :
( ~ sum(X0,multiplicative_identity,additive_identity)
| sum(X0,multiplicative_inverse(multiplicative_identity),additive_identity) )
| ~ spl0_17
| ~ spl0_60 ),
inference(resolution,[],[f320,f905]) ).
fof(f2094,plain,
( sum(additive_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity),additive_identity)
| ~ defined(multiplicative_identity)
| ~ spl0_17
| ~ spl0_60 ),
inference(resolution,[],[f1098,f4]) ).
fof(f2095,plain,
( sum(additive_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity),additive_identity)
| ~ spl0_17
| ~ spl0_60 ),
inference(global_subsumption,[],[f2094,f17]) ).
fof(f2096,plain,
( sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
| ~ spl0_17
| ~ spl0_21
| ~ spl0_60 ),
inference(resolution,[],[f2095,f1097]) ).
fof(f2104,plain,
( sum(multiplicative_inverse(multiplicative_identity),additive_inverse(multiplicative_identity),additive_identity)
| ~ spl0_17
| ~ spl0_60 ),
inference(resolution,[],[f2095,f5]) ).
fof(f2114,plain,
( sum(multiplicative_identity,additive_inverse(multiplicative_identity),additive_identity)
| ~ spl0_17
| ~ spl0_21
| ~ spl0_60 ),
inference(resolution,[],[f2096,f5]) ).
fof(f2858,plain,
( ~ spl0_20
| spl0_49
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1067,f407,f776,f380]) ).
fof(f2935,plain,
( ! [X2,X0,X1] :
( ~ sum(multiplicative_inverse(multiplicative_identity),X2,X0)
| less_or_equal(X0,X1)
| ~ sum(multiplicative_identity,X2,X1) )
| ~ spl0_49 ),
inference(resolution,[],[f778,f24]) ).
fof(f3522,plain,
( ! [X0] :
( ~ sum(multiplicative_identity,additive_inverse(multiplicative_identity),X0)
| less_or_equal(X0,additive_identity) )
| ~ spl0_17
| ~ spl0_21
| ~ spl0_60 ),
inference(resolution,[],[f584,f2114]) ).
fof(f4104,plain,
! [X0,X1] :
( ~ sum(additive_identity,b,X0)
| ~ product(X0,multiplicative_inverse(b),X1)
| sum(a,multiplicative_identity,X1) ),
inference(resolution,[],[f621,f955]) ).
fof(f8811,plain,
( ! [X0] :
( ~ sum(multiplicative_identity,additive_inverse(multiplicative_identity),X0)
| less_or_equal(additive_identity,X0) )
| ~ spl0_17
| ~ spl0_49
| ~ spl0_60 ),
inference(resolution,[],[f2935,f2104]) ).
fof(f10669,plain,
! [X0] :
( ~ product(b,multiplicative_inverse(b),X0)
| sum(a,multiplicative_identity,X0) ),
inference(resolution,[],[f4104,f268]) ).
fof(f13175,plain,
sum(a,multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f10669,f331]) ).
fof(f13179,plain,
! [X0] :
( ~ sum(multiplicative_identity,X0,additive_identity)
| sum(multiplicative_identity,X0,a) ),
inference(resolution,[],[f13175,f419]) ).
fof(f13511,plain,
( sum(multiplicative_identity,additive_inverse(multiplicative_identity),a)
| ~ spl0_17
| ~ spl0_21
| ~ spl0_60 ),
inference(resolution,[],[f13179,f2114]) ).
fof(f13530,plain,
( less_or_equal(additive_identity,a)
| ~ spl0_17
| ~ spl0_21
| ~ spl0_49
| ~ spl0_60 ),
inference(resolution,[],[f13511,f8811]) ).
fof(f13531,plain,
( less_or_equal(a,additive_identity)
| ~ spl0_17
| ~ spl0_21
| ~ spl0_60 ),
inference(resolution,[],[f13511,f3522]) ).
fof(f13542,plain,
( spl0_6
| ~ spl0_17
| ~ spl0_21
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f13531,f884,f407,f200,f74]) ).
fof(f13547,plain,
( spl0_5
| ~ spl0_17
| ~ spl0_21
| ~ spl0_49
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f13530,f884,f776,f407,f200,f70]) ).
cnf(s121,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f194]) ).
cnf(s164,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f259]) ).
cnf(s196,plain,
spl0_17,
inference(sat_conversion,[],[f302]) ).
cnf(s254,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f383]) ).
cnf(s273,plain,
( ~ spl0_14
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f410]) ).
cnf(s407,plain,
~ spl0_15,
inference(sat_conversion,[],[f714]) ).
cnf(s503,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_60 ),
inference(sat_conversion,[],[f887]) ).
cnf(s1850,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_49 ),
inference(sat_conversion,[],[f2858]) ).
cnf(s9217,plain,
( spl0_6
| ~ spl0_17
| ~ spl0_21
| ~ spl0_60 ),
inference(sat_conversion,[],[f13542]) ).
cnf(s9235,plain,
( spl0_5
| ~ spl0_17
| ~ spl0_21
| ~ spl0_49
| ~ spl0_60 ),
inference(sat_conversion,[],[f13547]) ).
cnf(s9240,plain,
spl0_20,
inference(rat,[],[s254,s407]) ).
cnf(s9241,plain,
spl0_14,
inference(rat,[],[s121,s407]) ).
cnf(s9254,plain,
spl0_21,
inference(rat,[],[s273,s9240,s9241]) ).
cnf(s9256,plain,
spl0_49,
inference(rat,[],[s1850,s9240,s9254]) ).
cnf(s9259,plain,
spl0_60,
inference(rat,[],[s503,s9240,s9254]) ).
cnf(s9261,plain,
spl0_5,
inference(rat,[],[s9235,s9259,s9256,s196,s9254]) ).
cnf(s9262,plain,
spl0_6,
inference(rat,[],[s9217,s9259,s196,s9254]) ).
cnf(s9268,plain,
$false,
inference(rat,[],[s164,s9262,s9261]) ).
fof(f13548,plain,
$false,
inference(avatar_sat_refutation,[],[s9268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD041-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:36:44 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.66/4.15 % (425516)Will run a generic schedule for satisfiability detection.
% 27.66/4.15 % (425523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3989017834:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.66/4.15 % (425522)% WARNING: option uhcvi not known.
% 27.66/4.15 % (425524)dis+10_1_sil=32000:sp=arity:random_seed=2250933784:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.66/4.15 % (425521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2619318202_2999 on theBenchmark for (2999ds/0Mi)
% 27.66/4.15 % (425526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=932050856:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.66/4.15 % (425522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2151828736:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.66/4.15 % (425525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2407722550:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.66/4.15 % (425527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3608972648:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.66/4.15 % TRYING [1]
% 27.66/4.15 % TRYING [2]
% 27.66/4.15 % TRYING [3]
% 27.66/4.15 % TRYING [4]
% 27.66/4.15 % TRYING [5]
% 27.66/4.15 % (425524)Instruction limit reached!
% 27.66/4.15 % (425524)------------------------------
% 27.66/4.15 % (425524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.66/4.15 % (425524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.66/4.15 % (425524)CaDiCaL version: 2.1.3
% 27.66/4.15 % (425524)Termination reason: Instruction limit
% 27.66/4.15 % (425524)Termination phase: Saturation
% 27.66/4.15 % (425524)Time elapsed: 0.066 s
% 27.66/4.15 % (425524)Peak memory usage: 12 MB
% 27.66/4.15 % (425524)Instructions burned: 105 (million)
% 27.66/4.15 % (425525)Instruction limit reached!
% 27.66/4.15 % (425525)------------------------------
% 27.66/4.15 % (425525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.66/4.15 % (425525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.66/4.15 % (425525)CaDiCaL version: 2.1.3
% 27.66/4.15 % (425525)Termination reason: Instruction limit
% 27.66/4.15 % (425525)Termination phase: Saturation
% 27.66/4.15 % (425525)Time elapsed: 0.065 s
% 27.66/4.15 % (425525)Peak memory usage: 11 MB
% 27.66/4.15 % (425525)Instructions burned: 121 (million)
% 27.66/4.15 % (425526)Instruction limit reached!
% 27.66/4.15 % (425526)------------------------------
% 27.66/4.15 % (425526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.66/4.15 % (425526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.66/4.15 % (425526)CaDiCaL version: 2.1.3
% 27.66/4.15 % (425526)Termination reason: Instruction limit
% 27.66/4.15 % (425526)Termination phase: Saturation
% 27.66/4.15 % (425526)Time elapsed: 0.076 s
% 27.66/4.15 % (425526)Peak memory usage: 16 MB
% 27.66/4.15 % (425526)Instructions burned: 131 (million)
% 27.66/4.15 % (425535)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1197770366:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.66/4.15 % (425536)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2555855017:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 27.66/4.15 % TRYING [6]
% 27.66/4.15 % TRYING [1]
% 27.66/4.15 % TRYING [2]
% 27.66/4.15 % TRYING [3]
% 27.66/4.15 % TRYING [4]
% 27.66/4.15 % (425537)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=172962271:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.66/4.15 % (425527)Instruction limit reached!
% 27.66/4.15 % (425527)------------------------------
% 27.66/4.15 % (425527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.66/4.15 % (425527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.66/4.15 % (425527)CaDiCaL version: 2.1.3
% 27.66/4.15 % (425527)Termination reason: Instruction limit
% 27.66/4.15 % (425527)Termination phase: Saturation
% 27.66/4.15 % (425527)Time elapsed: 0.103 s
% 27.66/4.15 % (425527)Peak memory usage: 13 MB
% 27.66/4.15 % (425527)Instructions burned: 160 (million)
% 27.66/4.15 % TRYING [5]
% 27.66/4.15 % (425541)ott-21_1_sil=16000:fs=off:random_seed=3745878527:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.66/4.15 % (425536)Instruction limit reached!
% 27.66/4.15 % (425536)------------------------------
% 27.66/4.15 % (425536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.66/4.15 % (425536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.03/8.15 % (425536)CaDiCaL version: 2.1.3
% 56.03/8.15 % (425536)Termination reason: Instruction limit
% 56.03/8.15 % (425536)Termination phase: Saturation
% 56.03/8.15 % (425536)Time elapsed: 0.077 s
% 56.03/8.15 % (425536)Peak memory usage: 15 MB
% 56.03/8.15 % (425536)Instructions burned: 132 (million)
% 56.03/8.15 % TRYING [6]
% 56.03/8.15 % (425543)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1969115471:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 56.03/8.15 % (425541)Instruction limit reached!
% 56.03/8.15 % (425541)------------------------------
% 56.03/8.15 % (425541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.03/8.15 % (425541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.03/8.15 % (425541)CaDiCaL version: 2.1.3
% 56.03/8.15 % (425541)Termination reason: Instruction limit
% 56.03/8.15 % (425541)Termination phase: Saturation
% 56.03/8.15 % (425541)Time elapsed: 0.095 s
% 56.03/8.15 % (425541)Peak memory usage: 12 MB
% 56.03/8.15 % (425541)Instructions burned: 181 (million)
% 56.03/8.15 % TRYING [7]
% 56.03/8.15 % (425545)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1416387072:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 56.03/8.15 % TRYING [1]
% 56.03/8.15 % TRYING [2]
% 56.03/8.15 % TRYING [3]
% 56.03/8.15 % TRYING [4]
% 56.03/8.15 % TRYING [5]
% 56.03/8.15 % TRYING [7]
% 56.03/8.15 % (425535)Instruction limit reached!
% 56.03/8.15 % (425535)------------------------------
% 56.03/8.15 % (425535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.03/8.15 % (425535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.03/8.15 % (425535)CaDiCaL version: 2.1.3
% 56.03/8.15 % (425535)Termination reason: Instruction limit
% 56.03/8.15 % (425535)Termination phase: Finite model building constraint generation
% 56.03/8.15 % (425535)Time elapsed: 0.277 s
% 56.03/8.15 % (425535)Peak memory usage: 31 MB
% 56.03/8.15 % (425535)Instructions burned: 716 (million)
% 56.03/8.15 % (425547)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3571765194:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 56.03/8.15 % TRYING [6]
% 56.03/8.15 % (425543)Instruction limit reached!
% 56.03/8.15 % (425543)------------------------------
% 56.03/8.15 % (425543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.03/8.15 % (425543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.03/8.15 % (425543)CaDiCaL version: 2.1.3
% 56.03/8.15 % (425543)Termination reason: Instruction limit
% 56.03/8.15 % (425543)Termination phase: Saturation
% 56.03/8.15 % (425543)Time elapsed: 0.282 s
% 56.03/8.15 % (425543)Peak memory usage: 14 MB
% 56.03/8.15 % (425543)Instructions burned: 478 (million)
% 56.03/8.15 % (425549)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2072758171:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 56.03/8.15 % (425537)Instruction limit reached!
% 56.03/8.15 % (425537)------------------------------
% 56.03/8.15 % (425537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.03/8.15 % (425537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.03/8.15 % (425537)CaDiCaL version: 2.1.3
% 56.03/8.15 % (425537)Termination reason: Instruction limit
% 56.03/8.15 % (425537)Termination phase: Saturation
% 56.03/8.15 % (425537)Time elapsed: 0.392 s
% 56.03/8.15 % (425537)Peak memory usage: 21 MB
% 56.03/8.15 % (425537)Instructions burned: 686 (million)
% 56.03/8.15 % (425551)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1672118088:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 56.03/8.15 % TRYING [8]
% 56.03/8.15 % (425545)Instruction limit reached!
% 56.03/8.15 % (425545)------------------------------
% 56.03/8.15 % (425545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.03/8.15 % (425545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.03/8.15 % (425545)CaDiCaL version: 2.1.3
% 56.03/8.15 % (425545)Termination reason: Instruction limit
% 56.03/8.15 % (425545)Termination phase: Finite model building SAT solving
% 56.03/8.15 % (425545)Time elapsed: 0.318 s
% 56.03/8.15 % (425545)Peak memory usage: 23 MB
% 56.03/8.15 % (425545)Instructions burned: 865 (million)
% 56.03/8.15 % (425553)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=807250406:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 56.03/8.15 % TRYING [14]
% 56.03/8.15 % (425549)Instruction limit reached!
% 56.03/8.15 % (425549)------------------------------
% 23.33/8.94 % (425549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425549)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425549)Termination reason: Instruction limit
% 23.33/8.94 % (425549)Termination phase: Finite model building constraint generation
% 23.33/8.94 % (425549)Time elapsed: 0.332 s
% 23.33/8.94 % (425549)Peak memory usage: 78 MB
% 23.33/8.94 % (425549)Instructions burned: 890 (million)
% 23.33/8.94 % (425555)fmb+10_1_sil=64000:random_seed=2144817013:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 23.33/8.94 % TRYING [1]
% 23.33/8.94 % TRYING [2]
% 23.33/8.94 % TRYING [3]
% 23.33/8.94 % TRYING [4]
% 23.33/8.94 % TRYING [5]
% 23.33/8.94 % (425551)Instruction limit reached!
% 23.33/8.94 % (425551)------------------------------
% 23.33/8.94 % (425551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425551)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425551)Termination reason: Instruction limit
% 23.33/8.94 % (425551)Termination phase: Saturation
% 23.33/8.94 % (425551)Time elapsed: 0.409 s
% 23.33/8.94 % (425551)Peak memory usage: 26 MB
% 23.33/8.94 % (425551)Instructions burned: 693 (million)
% 23.33/8.94 % (425557)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2970150922:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 23.33/8.94 % TRYING [20]
% 23.33/8.94 % TRYING [6]
% 23.33/8.94 % (425553)Instruction limit reached!
% 23.33/8.94 % (425553)------------------------------
% 23.33/8.94 % (425553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425553)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425553)Termination reason: Instruction limit
% 23.33/8.94 % (425553)Termination phase: Saturation
% 23.33/8.94 % (425553)Time elapsed: 0.474 s
% 23.33/8.94 % (425553)Peak memory usage: 16 MB
% 23.33/8.94 % (425553)Instructions burned: 880 (million)
% 23.33/8.94 % (425559)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2929154618:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 23.33/8.94 % TRYING [8]
% 23.33/8.94 % (425547)Instruction limit reached!
% 23.33/8.94 % (425547)------------------------------
% 23.33/8.94 % (425547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425547)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425547)Termination reason: Instruction limit
% 23.33/8.94 % (425547)Termination phase: Saturation
% 23.33/8.94 % (425547)Time elapsed: 0.707 s
% 23.33/8.94 % (425547)Peak memory usage: 23 MB
% 23.33/8.94 % (425547)Instructions burned: 1181 (million)
% 23.33/8.94 % (425561)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1822537456:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 23.33/8.94 % TRYING [9]
% 23.33/8.94 % TRYING [7]
% 23.33/8.94 % (425559)Instruction limit reached!
% 23.33/8.94 % (425559)------------------------------
% 23.33/8.94 % (425559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425559)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425559)Termination reason: Instruction limit
% 23.33/8.94 % (425559)Termination phase: Finite model building constraint generation
% 23.33/8.94 % (425559)Time elapsed: 0.349 s
% 23.33/8.94 % (425559)Peak memory usage: 69 MB
% 23.33/8.94 % (425559)Instructions burned: 920 (million)
% 23.33/8.94 % (425563)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=961322326:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 23.33/8.94 % TRYING [8]
% 23.33/8.94 % (425563)Instruction limit reached!
% 23.33/8.94 % (425563)------------------------------
% 23.33/8.94 % (425563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425563)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425563)Termination reason: Instruction limit
% 23.33/8.94 % (425563)Termination phase: Saturation
% 23.33/8.94 % (425563)Time elapsed: 0.820 s
% 23.33/8.94 % (425563)Peak memory usage: 24 MB
% 23.33/8.94 % (425563)Instructions burned: 1472 (million)
% 23.33/8.94 % (425565)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=926627412:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 23.33/8.94 % TRYING [77]
% 23.33/8.94 % TRYING [10]
% 23.33/8.94 % TRYING [9]
% 23.33/8.94 % (425561)Instruction limit reached!
% 23.33/8.94 % (425561)------------------------------
% 23.33/8.94 % (425561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425561)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425561)Termination reason: Instruction limit
% 23.33/8.94 % (425561)Termination phase: Saturation
% 23.33/8.94 % (425561)Time elapsed: 2.768 s
% 23.33/8.94 % (425561)Peak memory usage: 23 MB
% 23.33/8.94 % (425561)Instructions burned: 5132 (million)
% 23.33/8.94 % (425567)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1425392889:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 23.33/8.94 % TRYING [16]
% 23.33/8.94 % (425557)Instruction limit reached!
% 23.33/8.94 % (425557)------------------------------
% 23.33/8.94 % (425557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425557)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425557)Termination reason: Instruction limit
% 23.33/8.94 % (425557)Termination phase: Finite model building constraint generation
% 23.33/8.94 % (425557)Time elapsed: 3.145 s
% 23.33/8.94 % (425557)Peak memory usage: 533 MB
% 23.33/8.94 % (425557)Instructions burned: 9517 (million)
% 23.33/8.94 % (425569)ott-2_1_sil=16000:newcnf=on:random_seed=4150955808:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2958 on theBenchmark for (2958ds/869Mi)
% 23.33/8.94 % TRYING [11]
% 23.33/8.94 % (425565)Instruction limit reached!
% 23.33/8.94 % (425565)------------------------------
% 23.33/8.94 % (425565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425565)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425565)Termination reason: Instruction limit
% 23.33/8.94 % (425565)Termination phase: Finite model building constraint generation
% 23.33/8.94 % (425565)Time elapsed: 2.161 s
% 23.33/8.94 % (425565)Peak memory usage: 402 MB
% 23.33/8.94 % (425565)Instructions burned: 6324 (million)
% 23.33/8.94 % (425571)ott+10_1_sil=32000:tgt=ground:random_seed=528823983:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 23.33/8.94 % (425567)Instruction limit reached!
% 23.33/8.94 % (425567)------------------------------
% 23.33/8.94 % (425567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425567)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425567)Termination reason: Instruction limit
% 23.33/8.94 % (425567)Termination phase: Finite model building constraint generation
% 23.33/8.94 % (425567)Time elapsed: 0.724 s
% 23.33/8.94 % (425567)Peak memory usage: 130 MB
% 23.33/8.94 % (425567)Instructions burned: 2176 (million)
% 23.33/8.94 % (425569)Instruction limit reached!
% 23.33/8.94 % (425569)------------------------------
% 23.33/8.94 % (425569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425569)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425569)Termination reason: Instruction limit
% 23.33/8.94 % (425569)Termination phase: Saturation
% 23.33/8.94 % (425569)Time elapsed: 0.469 s
% 23.33/8.94 % (425569)Peak memory usage: 14 MB
% 23.33/8.94 % (425569)Instructions burned: 870 (million)
% 23.33/8.94 % (425573)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3693997124:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 23.33/8.94 % (425574)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4272556694:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 23.33/8.94 % TRYING [1]
% 23.33/8.94 % TRYING [2]
% 23.33/8.94 % TRYING [3]
% 23.33/8.94 % TRYING [4]
% 23.33/8.94 % TRYING [5]
% 23.33/8.94 % TRYING [10]
% 23.33/8.94 % TRYING [6]
% 23.33/8.94 % TRYING [7]
% 23.33/8.94 % TRYING [8]
% 23.33/8.94 % TRYING [9]
% 23.33/8.94 % (425574)Instruction limit reached!
% 23.33/8.94 % (425574)------------------------------
% 23.33/8.94 % (425574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425574)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425574)Termination reason: Instruction limit
% 23.33/8.94 % (425574)Termination phase: Saturation
% 23.33/8.94 % (425574)Time elapsed: 1.918 s
% 23.33/8.94 % (425574)Peak memory usage: 21 MB
% 23.33/8.94 % (425574)Instructions burned: 3513 (million)
% 23.33/8.94 % (425577)dis+21_1_sil=32000:sas=cadical:random_seed=2573371530:i=3773:amm=off_2933 on theBenchmark for (2933ds/3773Mi)
% 23.33/8.94 % TRYING [10]
% 23.33/8.94 % TRYING [12]
% 23.33/8.94 % (425571)Instruction limit reached!
% 23.33/8.94 % (425571)------------------------------
% 23.33/8.94 % (425571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425571)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425571)Termination reason: Instruction limit
% 23.33/8.94 % (425571)Termination phase: Saturation
% 23.33/8.94 % (425571)Time elapsed: 3.361 s
% 23.33/8.94 % (425571)Peak memory usage: 38 MB
% 23.33/8.94 % (425571)Instructions burned: 5115 (million)
% 23.33/8.94 % (425579)ott+11_1_sil=16000:gs=on:random_seed=713602350:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 23.33/8.94 % TRYING [11]
% 23.33/8.94 % (425579) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-425516-425579"...
% 23.33/8.94 % (425579)...printing done.
% 23.33/8.94 % (425579)Refutation found. Thanks to Tanya!
% 23.33/8.94 % SZS status Unsatisfiable for theBenchmark
% 23.33/8.94 % SZS output start Proof for theBenchmark
% See solution above
% 23.33/8.94 % (425579)------------------------------
% 23.33/8.94 % (425579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.33/8.94 % (425579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/8.94 % (425579)CaDiCaL version: 2.1.3
% 23.33/8.94 % (425579)Termination reason: Refutation
% 23.33/8.94 % (425579)Time elapsed: 0.699 s
% 23.33/8.94 % (425579)Peak memory usage: 21 MB
% 23.33/8.94 % (425579)Instructions burned: 903 (million)
% 23.33/8.94 % (425516)Success in time 8.703 s
% 23.33/8.94 % Vampire exiting
%------------------------------------------------------------------------------