%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD079-3 : 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 : n002.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 09:49:24 AM UTC 2026
% Result : Unsatisfiable 6.28s 2.04s
% Output : Refutation 11.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 33
% Syntax : Number of formulae : 124 ( 26 unt; 8 def)
% Number of atoms : 355 ( 4 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 462 ( 231 ~; 225 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 133 !; 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(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
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(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
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(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2)
| less_or_equal(additive_identity,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_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,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
less_or_equal(multiply(a,multiplicative_inverse(b)),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f32,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6) ).
fof(f33,definition,
sF0 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f34,plain,
multiplicative_inverse(b) = sF0,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF1 = multiply(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
multiply(a,sF0) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
less_or_equal(sF1,multiplicative_identity),
inference(definition_folding,[],[f31,f36,f34]) ).
fof(f38,plain,
( product(a,sF0,sF1)
| ~ defined(a)
| ~ defined(sF0) ),
inference(superposition,[],[f20,f36]) ).
fof(f39,plain,
( product(a,sF0,sF1)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f38,f27]) ).
fof(f41,definition,
( spl2_1
<=> defined(sF0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f42,plain,
( defined(sF0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( ~ defined(sF0)
| spl2_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl2_2
<=> product(a,sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f47,plain,
( product(a,sF0,sF1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f53,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f34]) ).
fof(f54,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f53,f29]) ).
fof(f55,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f54,f28]) ).
fof(f62,plain,
! [X0,X1] :
( less_or_equal(additive_identity,multiply(X0,X1))
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f25,f20]) ).
fof(f83,plain,
product(b,sF0,multiplicative_identity),
inference(resolution,[],[f10,f55]) ).
fof(f86,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b)) ),
inference(resolution,[],[f18,f29]) ).
fof(f89,plain,
defined(multiplicative_inverse(b)),
inference(forward_subsumption_resolution,[],[f86,f28]) ).
fof(f90,plain,
defined(sF0),
inference(forward_demodulation,[],[f89,f34]) ).
fof(f91,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f90,f43]) ).
fof(f92,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f93,plain,
( product(sF0,a,sF1)
| ~ spl2_2 ),
inference(resolution,[],[f47,f10]) ).
fof(f108,plain,
( defined(sF1)
| ~ defined(a)
| ~ defined(sF0) ),
inference(superposition,[],[f16,f36]) ).
fof(f109,plain,
( defined(sF1)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f108,f27]) ).
fof(f110,plain,
( defined(sF1)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f109,f42]) ).
fof(f119,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(f139,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X4,X3)
| sum(X2,X3,X4)
| ~ product(X0,X4,X2)
| ~ sum(X0,X1,multiplicative_identity)
| ~ defined(X4) ),
inference(resolution,[],[f11,f8]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X2,add(X0,X1),X4)
| ~ defined(X1)
| ~ sum(X2,X0,X3)
| sum(X3,X1,X4)
| ~ defined(X0) ),
inference(resolution,[],[f19,f2]) ).
fof(f424,plain,
! [X0,X1] :
( sum(X1,X0,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,X1,X3)
| ~ defined(X1)
| ~ less_or_equal(X2,X0)
| ~ defined(X0)
| less_or_equal(X3,add(X1,X0)) ),
inference(resolution,[],[f424,f24]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,add(X1,X0),X1)
| ~ defined(X1) ),
inference(resolution,[],[f424,f119]) ).
fof(f448,plain,
! [X2,X0,X1] :
( sum(X2,add(X1,X0),X1)
| ~ defined(X1)
| ~ sum(X2,X0,additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f458,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(f473,plain,
( ! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| product(X0,sF1,a)
| ~ defined(a) )
| ~ spl2_2 ),
inference(resolution,[],[f458,f93]) ).
fof(f478,plain,
( ! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| product(X0,sF1,a) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f473,f27]) ).
fof(f530,plain,
( product(b,sF1,a)
| ~ spl2_2 ),
inference(resolution,[],[f478,f83]) ).
fof(f532,plain,
( product(sF1,b,a)
| ~ spl2_2 ),
inference(resolution,[],[f530,f10]) ).
fof(f548,plain,
( ! [X0,X1] :
( sum(X0,a,b)
| ~ product(X1,b,X0)
| ~ sum(X1,sF1,multiplicative_identity)
| ~ defined(b) )
| ~ spl2_2 ),
inference(resolution,[],[f532,f236]) ).
fof(f553,plain,
( ! [X0,X1] :
( ~ product(X1,b,X0)
| sum(X0,a,b)
| ~ sum(X1,sF1,multiplicative_identity) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f548,f28]) ).
fof(f629,plain,
( ! [X0] :
( sum(multiply(X0,b),a,b)
| ~ sum(X0,sF1,multiplicative_identity)
| ~ defined(X0)
| ~ defined(b) )
| ~ spl2_2 ),
inference(resolution,[],[f553,f20]) ).
fof(f665,plain,
( ! [X0] :
( sum(multiply(X0,b),a,b)
| ~ sum(X0,sF1,multiplicative_identity)
| ~ defined(X0) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f629,f28]) ).
fof(f1825,plain,
( ! [X2,X0,X1] :
( ~ less_or_equal(X1,multiply(X0,b))
| ~ defined(X0)
| ~ sum(X0,sF1,multiplicative_identity)
| ~ sum(X1,a,X2)
| less_or_equal(X2,b) )
| ~ spl2_2 ),
inference(resolution,[],[f665,f24]) ).
fof(f1836,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,sF1,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,X0)
| ~ defined(X0)
| ~ defined(b) )
| ~ spl2_2 ),
inference(resolution,[],[f1825,f62]) ).
fof(f1837,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,sF1,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,X0)
| ~ defined(b) )
| ~ spl2_2 ),
inference(duplicate_literal_removal,[],[f1836]) ).
fof(f1838,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,sF1,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ less_or_equal(additive_identity,X0)
| ~ defined(b) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f1837,f30]) ).
fof(f1839,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,sF1,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ less_or_equal(additive_identity,X0) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f1838,f28]) ).
fof(f1841,definition,
( spl2_72
<=> ! [X1] :
( ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b) ) ),
introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).
fof(f1842,plain,
( ! [X1] :
( ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b) )
| ~ spl2_72 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1844,definition,
( spl2_73
<=> ! [X0] :
( ~ defined(X0)
| ~ less_or_equal(additive_identity,X0)
| ~ sum(X0,sF1,multiplicative_identity) ) ),
introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).
fof(f1845,plain,
( ! [X0] :
( ~ sum(X0,sF1,multiplicative_identity)
| ~ less_or_equal(additive_identity,X0)
| ~ defined(X0) )
| ~ spl2_73 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f1846,plain,
( spl2_72
| spl2_73
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f1839,f45,f1844,f1841]) ).
fof(f1847,plain,
( less_or_equal(a,b)
| ~ defined(a)
| ~ spl2_72 ),
inference(resolution,[],[f1842,f3]) ).
fof(f1854,plain,
( ~ defined(a)
| ~ spl2_72 ),
inference(forward_subsumption_resolution,[],[f1847,f32]) ).
fof(f1857,plain,
( $false
| ~ spl2_72 ),
inference(forward_subsumption_resolution,[],[f1854,f27]) ).
fof(f1858,plain,
~ spl2_72,
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f2679,plain,
! [X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ less_or_equal(X0,X1)
| ~ defined(X1)
| less_or_equal(additive_identity,add(additive_inverse(X0),X1))
| ~ defined(X0) ),
inference(resolution,[],[f441,f139]) ).
fof(f2691,plain,
! [X0,X1] :
( less_or_equal(additive_identity,add(additive_inverse(X0),X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f2679,f15]) ).
fof(f5055,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ sum(X1,X2,additive_identity)
| ~ defined(X2)
| ~ defined(X2)
| ~ sum(X1,X0,X3)
| sum(X3,X2,X0)
| ~ defined(X0) ),
inference(resolution,[],[f448,f423]) ).
fof(f5067,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,additive_identity)
| ~ defined(X0)
| ~ defined(X2)
| ~ sum(X1,X0,X3)
| sum(X3,X2,X0) ),
inference(duplicate_literal_removal,[],[f5055]) ).
fof(f5076,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ sum(additive_inverse(X1),X0,X2)
| sum(X2,X1,X0)
| ~ defined(X1) ),
inference(resolution,[],[f5067,f4]) ).
fof(f5095,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(X1),X0,X2)
| ~ defined(X1)
| ~ defined(X0)
| sum(X2,X1,X0) ),
inference(duplicate_literal_removal,[],[f5076]) ).
fof(f5117,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| sum(add(additive_inverse(X0),X1),X0,X1)
| ~ defined(additive_inverse(X0))
| ~ defined(X1) ),
inference(resolution,[],[f5095,f19]) ).
fof(f5122,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| sum(add(additive_inverse(X0),X1),X0,X1)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f5117]) ).
fof(f5127,plain,
! [X0,X1] :
( sum(add(additive_inverse(X0),X1),X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f5122,f15]) ).
fof(f5166,plain,
( ~ defined(multiplicative_identity)
| ~ defined(sF1)
| ~ less_or_equal(additive_identity,add(additive_inverse(sF1),multiplicative_identity))
| ~ defined(add(additive_inverse(sF1),multiplicative_identity))
| ~ spl2_73 ),
inference(resolution,[],[f5127,f1845]) ).
fof(f5176,plain,
( ~ defined(sF1)
| ~ less_or_equal(additive_identity,add(additive_inverse(sF1),multiplicative_identity))
| ~ defined(add(additive_inverse(sF1),multiplicative_identity))
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f5166,f17]) ).
fof(f5194,plain,
( ~ less_or_equal(additive_identity,add(additive_inverse(sF1),multiplicative_identity))
| ~ defined(add(additive_inverse(sF1),multiplicative_identity))
| ~ spl2_1
| ~ spl2_73 ),
inference(forward_subsumption_resolution,[],[f5176,f110]) ).
fof(f5196,definition,
( spl2_193
<=> defined(add(additive_inverse(sF1),multiplicative_identity)) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
fof(f5198,plain,
( ~ defined(add(additive_inverse(sF1),multiplicative_identity))
| spl2_193 ),
inference(avatar_component_clause,[],[f5196]) ).
fof(f5200,definition,
( spl2_194
<=> less_or_equal(additive_identity,add(additive_inverse(sF1),multiplicative_identity)) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
fof(f5202,plain,
( ~ less_or_equal(additive_identity,add(additive_inverse(sF1),multiplicative_identity))
| spl2_194 ),
inference(avatar_component_clause,[],[f5200]) ).
fof(f5203,plain,
( ~ spl2_193
| ~ spl2_194
| ~ spl2_1
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f5194,f1844,f41,f5200,f5196]) ).
fof(f5204,plain,
( ~ defined(additive_inverse(sF1))
| ~ defined(multiplicative_identity)
| spl2_193 ),
inference(resolution,[],[f5198,f13]) ).
fof(f5205,plain,
( ~ defined(additive_inverse(sF1))
| spl2_193 ),
inference(forward_subsumption_resolution,[],[f5204,f17]) ).
fof(f5206,plain,
( ~ defined(sF1)
| spl2_193 ),
inference(resolution,[],[f5205,f15]) ).
fof(f5207,plain,
( $false
| ~ spl2_1
| spl2_193 ),
inference(forward_subsumption_resolution,[],[f5206,f110]) ).
fof(f5208,plain,
( ~ spl2_1
| spl2_193 ),
inference(avatar_contradiction_clause,[],[f5207]) ).
fof(f5272,plain,
( ~ defined(multiplicative_identity)
| ~ less_or_equal(sF1,multiplicative_identity)
| ~ defined(sF1)
| spl2_194 ),
inference(resolution,[],[f5202,f2691]) ).
fof(f5275,plain,
( ~ less_or_equal(sF1,multiplicative_identity)
| ~ defined(sF1)
| spl2_194 ),
inference(forward_subsumption_resolution,[],[f5272,f17]) ).
fof(f5276,plain,
( ~ defined(sF1)
| spl2_194 ),
inference(forward_subsumption_resolution,[],[f5275,f37]) ).
fof(f5277,plain,
( $false
| ~ spl2_1
| spl2_194 ),
inference(forward_subsumption_resolution,[],[f5276,f110]) ).
fof(f5278,plain,
( ~ spl2_1
| spl2_194 ),
inference(avatar_contradiction_clause,[],[f5277]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s4,plain,
spl2_1,
inference(sat_conversion,[],[f92]) ).
cnf(s62,plain,
( ~ spl2_2
| spl2_72
| spl2_73 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s63,plain,
~ spl2_72,
inference(sat_conversion,[],[f1858]) ).
cnf(s206,plain,
( ~ spl2_1
| ~ spl2_73
| ~ spl2_193
| ~ spl2_194 ),
inference(sat_conversion,[],[f5203]) ).
cnf(s207,plain,
( ~ spl2_1
| spl2_193 ),
inference(sat_conversion,[],[f5208]) ).
cnf(s208,plain,
( ~ spl2_1
| spl2_194 ),
inference(sat_conversion,[],[f5278]) ).
cnf(s217,plain,
( ~ spl2_2
| spl2_73 ),
inference(rat,[],[s62,s63]) ).
cnf(s234,plain,
spl2_194,
inference(rat,[],[s208,s4]) ).
cnf(s235,plain,
spl2_193,
inference(rat,[],[s207,s4]) ).
cnf(s236,plain,
~ spl2_73,
inference(rat,[],[s206,s234,s235,s4]) ).
cnf(s242,plain,
~ spl2_2,
inference(rat,[],[s217,s236]) ).
cnf(s247,plain,
$false,
inference(rat,[],[s1,s242,s4]) ).
fof(f5279,plain,
$false,
inference(avatar_sat_refutation,[],[s247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD079-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:59:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 9.52/1.92 % (951069)Input is clausal, will run a generic CNF schedule.
% 9.52/1.92 % (951079)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2258702317:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.52/1.92 % (951078)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=625719767:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.52/1.92 % (951075)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3725242019:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.52/1.92 % (951077)lrs+10_1_sil=8000:sp=occurrence:random_seed=3221288377:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.52/1.92 % (951074)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=2335927590:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.52/1.92 % (951080)dis-21_1_sil=8000:lcm=predicate:random_seed=2912919372: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)
% 9.52/1.92 % (951076)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3155079861:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.52/1.92 % (951079)Instruction limit reached!
% 9.52/1.92 % (951079)------------------------------
% 9.52/1.92 % (951079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/1.92 % (951079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/1.92 % (951079)CaDiCaL version: 2.1.3
% 9.52/1.92 % (951079)Termination reason: Instruction limit
% 9.52/1.92 % (951079)Termination phase: Saturation
% 9.52/1.92 % (951079)Time elapsed: 0.057 s
% 9.52/1.92 % (951079)Peak memory usage: 89 MB
% 9.52/1.92 % (951079)Instructions burned: 183 (million)
% 9.52/1.92 % (951077)Instruction limit reached!
% 9.52/1.92 % (951077)------------------------------
% 9.52/1.92 % (951077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/1.92 % (951077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/1.92 % (951077)CaDiCaL version: 2.1.3
% 9.52/1.92 % (951077)Termination reason: Instruction limit
% 9.52/1.92 % (951077)Termination phase: Saturation
% 9.52/1.92 % (951077)Time elapsed: 0.054 s
% 9.52/1.92 % (951077)Peak memory usage: 88 MB
% 9.52/1.92 % (951077)Instructions burned: 108 (million)
% 9.52/1.92 % (951078)Instruction limit reached!
% 9.52/1.92 % (951078)------------------------------
% 9.52/1.92 % (951078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/1.92 % (951078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/1.92 % (951078)CaDiCaL version: 2.1.3
% 9.52/1.92 % (951078)Termination reason: Instruction limit
% 9.52/1.92 % (951078)Termination phase: Saturation
% 9.52/1.92 % (951078)Time elapsed: 0.068 s
% 9.52/1.92 % (951078)Peak memory usage: 88 MB
% 9.52/1.92 % (951078)Instructions burned: 115 (million)
% 9.52/1.92 % (951080)Instruction limit reached!
% 9.52/1.92 % (951080)------------------------------
% 9.52/1.92 % (951080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/1.92 % (951080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/1.92 % (951080)CaDiCaL version: 2.1.3
% 9.52/1.92 % (951080)Termination reason: Instruction limit
% 9.52/1.92 % (951080)Termination phase: Saturation
% 9.52/1.92 % (951080)Time elapsed: 0.069 s
% 9.52/1.92 % (951080)Peak memory usage: 90 MB
% 9.52/1.92 % (951080)Instructions burned: 118 (million)
% 9.52/1.92 % (951089)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=553462094: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)
% 9.52/1.92 % (951088)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=3464216990:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.52/1.92 % (951089)Instruction limit reached!
% 9.52/1.92 % (951089)------------------------------
% 9.52/1.92 % (951089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/1.92 % (951089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/1.92 % (951089)CaDiCaL version: 2.1.3
% 9.52/1.92 % (951089)Termination reason: Instruction limit
% 6.28/2.04 % (951089)Termination phase: Saturation
% 6.28/2.04 % (951089)Time elapsed: 0.054 s
% 6.28/2.04 % (951089)Peak memory usage: 93 MB
% 6.28/2.04 % (951089)Instructions burned: 191 (million)
% 6.28/2.04 % (951091)lrs+10_64_to=lpo:sil=8000:random_seed=2848545427:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.28/2.04 % (951090)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1615732262:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.28/2.04 % (951088)Instruction limit reached!
% 6.28/2.04 % (951088)------------------------------
% 6.28/2.04 % (951088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951088)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951088)Termination reason: Instruction limit
% 6.28/2.04 % (951088)Termination phase: Saturation
% 6.28/2.04 % (951088)Time elapsed: 0.065 s
% 6.28/2.04 % (951088)Peak memory usage: 88 MB
% 6.28/2.04 % (951088)Instructions burned: 145 (million)
% 6.28/2.04 % (951091)Instruction limit reached!
% 6.28/2.04 % (951091)------------------------------
% 6.28/2.04 % (951091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951091)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951091)Termination reason: Instruction limit
% 6.28/2.04 % (951091)Termination phase: Saturation
% 6.28/2.04 % (951091)Time elapsed: 0.065 s
% 6.28/2.04 % (951091)Peak memory usage: 88 MB
% 6.28/2.04 % (951091)Instructions burned: 127 (million)
% 6.28/2.04 % (951094)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=797943433:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.28/2.04 % (951090)Instruction limit reached!
% 6.28/2.04 % (951090)------------------------------
% 6.28/2.04 % (951090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951090)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951090)Termination reason: Instruction limit
% 6.28/2.04 % (951090)Termination phase: Saturation
% 6.28/2.04 % (951090)Time elapsed: 0.124 s
% 6.28/2.04 % (951090)Peak memory usage: 88 MB
% 6.28/2.04 % (951090)Instructions burned: 219 (million)
% 6.28/2.04 % (951094)Instruction limit reached!
% 6.28/2.04 % (951094)------------------------------
% 6.28/2.04 % (951094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951094)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951094)Termination reason: Instruction limit
% 6.28/2.04 % (951094)Termination phase: Saturation
% 6.28/2.04 % (951094)Time elapsed: 0.038 s
% 6.28/2.04 % (951094)Peak memory usage: 87 MB
% 6.28/2.04 % (951094)Instructions burned: 198 (million)
% 6.28/2.04 % (951097)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3892793154:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.28/2.04 % (951098)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2200736819:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.28/2.04 % (951101)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3747460895:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.28/2.04 % (951101)Instruction limit reached!
% 6.28/2.04 % (951101)------------------------------
% 6.28/2.04 % (951101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951101)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951101)Termination reason: Instruction limit
% 6.28/2.04 % (951101)Termination phase: Saturation
% 6.28/2.04 % (951101)Time elapsed: 0.035 s
% 6.28/2.04 % (951101)Peak memory usage: 88 MB
% 6.28/2.04 % (951101)Instructions burned: 110 (million)
% 6.28/2.04 % (951100)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=491331067:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.28/2.04 % (951097)Instruction limit reached!
% 6.28/2.04 % (951097)------------------------------
% 6.28/2.04 % (951097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951097)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951097)Termination reason: Instruction limit
% 6.28/2.04 % (951097)Termination phase: Saturation
% 6.28/2.04 % (951097)Time elapsed: 0.107 s
% 6.28/2.04 % (951097)Peak memory usage: 90 MB
% 6.28/2.04 % (951097)Instructions burned: 158 (million)
% 6.28/2.04 % (951100)Instruction limit reached!
% 6.28/2.04 % (951100)------------------------------
% 6.28/2.04 % (951100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951100)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951100)Termination reason: Instruction limit
% 6.28/2.04 % (951100)Termination phase: Saturation
% 6.28/2.04 % (951100)Time elapsed: 0.055 s
% 6.28/2.04 % (951100)Peak memory usage: 90 MB
% 6.28/2.04 % (951100)Instructions burned: 107 (million)
% 6.28/2.04 % (951107)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2847377504:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.28/2.04 % (951106)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2115760487:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.28/2.04 % (951108)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1756673901:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.28/2.04 % (951108)Instruction limit reached!
% 6.28/2.04 % (951108)------------------------------
% 6.28/2.04 % (951108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951108)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951108)Termination reason: Instruction limit
% 6.28/2.04 % (951108)Termination phase: Saturation
% 6.28/2.04 % (951108)Time elapsed: 0.050 s
% 6.28/2.04 % (951108)Peak memory usage: 87 MB
% 6.28/2.04 % (951108)Instructions burned: 137 (million)
% 6.28/2.04 % (951106)Instruction limit reached!
% 6.28/2.04 % (951106)------------------------------
% 6.28/2.04 % (951106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951106)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951106)Termination reason: Instruction limit
% 6.28/2.04 % (951106)Termination phase: Saturation
% 6.28/2.04 % (951106)Time elapsed: 0.158 s
% 6.28/2.04 % (951106)Peak memory usage: 89 MB
% 6.28/2.04 % (951106)Instructions burned: 242 (million)
% 6.28/2.04 % (951112)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=510313554:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.28/2.04 % (951113)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2594486367:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.28/2.04 % (951113)Instruction limit reached!
% 6.28/2.04 % (951113)------------------------------
% 6.28/2.04 % (951113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951113)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951113)Termination reason: Instruction limit
% 6.28/2.04 % (951113)Termination phase: Saturation
% 6.28/2.04 % (951113)Time elapsed: 0.111 s
% 6.28/2.04 % (951113)Peak memory usage: 90 MB
% 6.28/2.04 % (951113)Instructions burned: 191 (million)
% 6.28/2.04 % (951112)Instruction limit reached!
% 6.28/2.04 % (951112)------------------------------
% 6.28/2.04 % (951112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951112)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951112)Termination reason: Instruction limit
% 6.28/2.04 % (951112)Termination phase: Saturation
% 6.28/2.04 % (951112)Time elapsed: 0.261 s
% 6.28/2.04 % (951112)Peak memory usage: 103 MB
% 6.28/2.04 % (951112)Instructions burned: 501 (million)
% 6.28/2.04 % (951074)First to succeed.
% 6.28/2.04 % (951074)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-951069"
% 6.28/2.04 % (951116)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=285646533:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 6.28/2.04 % (951117)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=400131006:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 6.28/2.04 % (951116)Instruction limit reached!
% 6.28/2.04 % (951116)------------------------------
% 6.28/2.04 % (951116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951116)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951116)Termination reason: Instruction limit
% 6.28/2.04 % (951116)Termination phase: Saturation
% 6.28/2.04 % (951116)Time elapsed: 0.143 s
% 6.28/2.04 % (951116)Peak memory usage: 89 MB
% 6.28/2.04 % (951116)Instructions burned: 264 (million)
% 6.28/2.04 % (951117)Instruction limit reached!
% 6.28/2.04 % (951117)------------------------------
% 6.28/2.04 % (951117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/2.04 % (951117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.04 % (951117)CaDiCaL version: 2.1.3
% 6.28/2.04 % (951117)Termination reason: Instruction limit
% 6.28/2.04 % (951117)Termination phase: Saturation
% 6.28/2.04 % (951117)Time elapsed: 0.066 s
% 6.28/2.04 % (951117)Peak memory usage: 88 MB
% 6.28/2.04 % (951117)Instructions burned: 158 (million)
% 6.28/2.04 % (951074)Refutation found. Thanks to Tanya!
% 6.28/2.04 % SZS status Unsatisfiable for theBenchmark
% 6.28/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 11.89/2.24 % (951074)------------------------------
% 11.89/2.24 % (951074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.24 % (951074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.24 % (951074)CaDiCaL version: 2.1.3
% 11.89/2.24 % (951074)Termination reason: Refutation
% 11.89/2.24 % (951074)Time elapsed: 1.218 s
% 11.89/2.24 % (951074)Peak memory usage: 137 MB
% 11.89/2.24 % (951074)Instructions burned: 1830 (million)
% 11.89/2.24 % (951074)------------------------------
% 11.89/2.24 % (951074)------------------------------
% 11.89/2.24 % (951069)Success in time 1.625 s
% 11.89/2.24 % Vampire exiting
%------------------------------------------------------------------------------