%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD029-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:49:05 AM UTC 2026
% Result : Unsatisfiable 17.18s 3.09s
% Output : Refutation 17.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 17
% Syntax : Number of formulae : 86 ( 14 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 537 ( 261 ~; 276 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 195 ( 195 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f13,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f31,axiom,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
fof(f32,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_5) ).
fof(f33,negated_conjecture,
equalish(multiply(a,u),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_b_6) ).
fof(f34,negated_conjecture,
equalish(multiply(a,v),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_b_7) ).
fof(f35,negated_conjecture,
~ equalish(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_equal_to_v_8) ).
fof(f38,plain,
equalish(b,multiply(a,u)),
inference(resolution,[],[f22,f33]) ).
fof(f39,plain,
equalish(b,multiply(a,v)),
inference(resolution,[],[f22,f34]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X1,X0))
| ~ equalish(X1,X2)
| ~ defined(X0)
| equalish(X3,multiply(X2,X0)) ),
inference(resolution,[],[f25,f23]) ).
fof(f62,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b)) ),
inference(resolution,[],[f15,f32]) ).
fof(f65,plain,
defined(multiplicative_inverse(b)),
inference(forward_subsumption_resolution,[],[f62,f29]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X0,multiply(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,multiply(multiply(X0,X1),X2)) ),
inference(resolution,[],[f5,f23]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f67,f8]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1)) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f73,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f71,f13]) ).
fof(f86,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f6,f23]) ).
fof(f123,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| ~ defined(X3)
| equalish(multiply(multiply(X1,X3),X0),multiply(X2,X3))
| ~ defined(X3)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f51,f73]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( equalish(multiply(multiply(X1,X3),X0),multiply(X2,X3))
| ~ defined(X3)
| ~ equalish(multiply(X0,X1),X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f123]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(X4,multiply(multiply(X2,X0),X1))
| ~ equalish(multiply(X1,X2),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X4,multiply(X3,X0)) ),
inference(resolution,[],[f127,f23]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X3)
| equalish(multiply(multiply(X3,X0),X1),multiply(X2,X3))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X3) ),
inference(resolution,[],[f140,f73]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( equalish(multiply(multiply(X3,X0),X1),multiply(X2,X3))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X3)
| ~ equalish(multiply(X0,X1),X2) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(X4,multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),X3)
| ~ defined(X0)
| equalish(X4,multiply(X3,X2)) ),
inference(resolution,[],[f154,f23]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),X3)
| ~ defined(X2)
| equalish(multiply(X4,X0),multiply(X3,X1))
| ~ defined(X0)
| ~ equalish(X4,multiply(X1,X2)) ),
inference(resolution,[],[f198,f25]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(X2,X0),X3)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2)
| equalish(multiply(X4,X0),multiply(X3,X1))
| ~ equalish(X4,multiply(X1,X2)) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(multiplicative_inverse(X1))
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(X1)),multiply(multiplicative_identity,X0))
| ~ equalish(X2,multiply(X0,X1))
| ~ defined(X1)
| equalish(X1,additive_identity) ),
inference(resolution,[],[f220,f7]) ).
fof(f232,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(u)
| ~ defined(a)
| equalish(multiply(X1,u),multiply(b,X0))
| ~ equalish(X1,multiply(X0,a)) ),
inference(resolution,[],[f220,f33]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(multiplicative_inverse(X1))
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(X1)),multiply(multiplicative_identity,X0))
| ~ equalish(X2,multiply(X0,X1))
| equalish(X1,additive_identity) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f246,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(a)
| equalish(multiply(X1,u),multiply(b,X0))
| ~ equalish(X1,multiply(X0,a)) ),
inference(forward_subsumption_resolution,[],[f232,f30]) ).
fof(f247,plain,
! [X2,X0,X1] :
( equalish(multiply(X2,multiplicative_inverse(X1)),multiply(multiplicative_identity,X0))
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,multiply(X0,X1))
| equalish(X1,additive_identity) ),
inference(forward_subsumption_resolution,[],[f235,f15]) ).
fof(f255,plain,
! [X0,X1] :
( equalish(multiply(X1,u),multiply(b,X0))
| ~ defined(X0)
| ~ equalish(X1,multiply(X0,a)) ),
inference(forward_subsumption_resolution,[],[f246,f28]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X2,multiply(X1,X0))
| equalish(X0,additive_identity)
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(X0)),X1) ),
inference(resolution,[],[f247,f86]) ).
fof(f286,plain,
! [X2,X0,X1] :
( equalish(multiply(X2,multiplicative_inverse(X0)),X1)
| ~ defined(X1)
| ~ equalish(X2,multiply(X1,X0))
| equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X1,multiplicative_inverse(X2)))
| ~ equalish(X1,multiply(X0,X2))
| equalish(X2,additive_identity)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f286,f23]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,multiply(X1,X2))
| equalish(X2,additive_identity)
| ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X3,multiplicative_inverse(X2)),X1)
| ~ defined(multiplicative_inverse(X2))
| ~ equalish(X3,X0) ),
inference(resolution,[],[f294,f25]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,multiply(X1,X2))
| equalish(X2,additive_identity)
| ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X3,multiplicative_inverse(X2)),X1)
| ~ equalish(X3,X0) ),
inference(forward_subsumption_resolution,[],[f304,f15]) ).
fof(f325,plain,
! [X2,X0,X1] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(X0)),X1)
| ~ equalish(X2,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f323,f8]) ).
fof(f346,plain,
! [X2,X0,X1] :
( equalish(multiply(X2,multiplicative_inverse(X0)),X1)
| ~ defined(X0)
| ~ defined(X1)
| equalish(X0,additive_identity)
| ~ equalish(X2,multiply(X0,X1)) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f379,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X2,multiplicative_inverse(X0)))
| ~ defined(X1)
| equalish(X0,additive_identity)
| ~ equalish(X2,multiply(X0,X1))
| ~ defined(X0)
| equalish(X3,X1) ),
inference(resolution,[],[f346,f23]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| equalish(X1,additive_identity)
| ~ equalish(X2,multiply(X1,X0))
| ~ defined(X1)
| equalish(multiply(X3,multiplicative_inverse(X1)),X0)
| ~ defined(multiplicative_inverse(X1))
| ~ equalish(X3,X2) ),
inference(resolution,[],[f379,f25]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X2,multiply(X1,X0))
| equalish(X1,additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(X3,multiplicative_inverse(X1)),X0)
| ~ equalish(X3,X2) ),
inference(forward_subsumption_resolution,[],[f392,f15]) ).
fof(f714,plain,
! [X2,X0,X1] :
( equalish(b,additive_identity)
| ~ defined(X0)
| ~ defined(b)
| equalish(multiply(X1,multiplicative_inverse(b)),X0)
| ~ equalish(X1,multiply(X2,u))
| ~ defined(X0)
| ~ equalish(X2,multiply(X0,a)) ),
inference(resolution,[],[f412,f255]) ).
fof(f730,plain,
! [X2,X0,X1] :
( equalish(b,additive_identity)
| ~ defined(X0)
| ~ defined(b)
| equalish(multiply(X1,multiplicative_inverse(b)),X0)
| ~ equalish(X1,multiply(X2,u))
| ~ equalish(X2,multiply(X0,a)) ),
inference(duplicate_literal_removal,[],[f714]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(b)
| equalish(multiply(X1,multiplicative_inverse(b)),X0)
| ~ equalish(X1,multiply(X2,u))
| ~ equalish(X2,multiply(X0,a)) ),
inference(forward_subsumption_resolution,[],[f730,f32]) ).
fof(f748,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X0,a))
| equalish(multiply(X1,multiplicative_inverse(b)),X0)
| ~ equalish(X1,multiply(X2,u))
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f743,f29]) ).
fof(f785,plain,
! [X0,X1] :
( equalish(multiply(X0,multiplicative_inverse(b)),X1)
| ~ equalish(X0,multiply(multiply(a,X1),u))
| ~ defined(X1)
| ~ defined(a)
| ~ defined(X1) ),
inference(resolution,[],[f748,f8]) ).
fof(f796,plain,
! [X0,X1] :
( equalish(multiply(X0,multiplicative_inverse(b)),X1)
| ~ equalish(X0,multiply(multiply(a,X1),u))
| ~ defined(X1)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f785]) ).
fof(f802,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(multiply(a,X1),u))
| equalish(multiply(X0,multiplicative_inverse(b)),X1)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f796,f28]) ).
fof(f807,plain,
! [X0,X1] :
( equalish(multiply(multiply(X0,u),multiplicative_inverse(b)),X1)
| ~ defined(X1)
| ~ defined(u)
| ~ equalish(X0,multiply(a,X1)) ),
inference(resolution,[],[f802,f25]) ).
fof(f823,plain,
! [X0,X1] :
( equalish(multiply(multiply(X0,u),multiplicative_inverse(b)),X1)
| ~ defined(X1)
| ~ equalish(X0,multiply(a,X1)) ),
inference(forward_subsumption_resolution,[],[f807,f30]) ).
fof(f829,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(multiply(X1,u),multiplicative_inverse(b)))
| ~ equalish(X1,multiply(a,X0))
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f823,f23]) ).
fof(f861,plain,
! [X2,X0,X1] :
( ~ equalish(X0,multiply(a,X1))
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(b)),X1)
| ~ defined(multiplicative_inverse(b))
| ~ equalish(X2,multiply(X0,u)) ),
inference(resolution,[],[f829,f25]) ).
fof(f876,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X0,u))
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(b)),X1)
| ~ equalish(X0,multiply(a,X1)) ),
inference(forward_subsumption_resolution,[],[f861,f65]) ).
fof(f880,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(multiply(u,X1),multiplicative_inverse(b)),X0)
| ~ equalish(X1,multiply(a,X0))
| ~ defined(u)
| ~ defined(X1) ),
inference(resolution,[],[f876,f8]) ).
fof(f899,plain,
! [X0,X1] :
( equalish(multiply(multiply(u,X1),multiplicative_inverse(b)),X0)
| ~ defined(X0)
| ~ equalish(X1,multiply(a,X0))
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f880,f30]) ).
fof(f2045,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(multiply(u,X1),multiplicative_inverse(b)))
| ~ equalish(X1,multiply(a,X0))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f899,f23]) ).
fof(f2106,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(a,X1))
| ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(multiply(X0,multiplicative_inverse(b)),u),X1)
| ~ defined(multiplicative_inverse(b))
| ~ defined(u)
| ~ defined(X0) ),
inference(resolution,[],[f2045,f73]) ).
fof(f2122,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(a,X1))
| ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(multiply(X0,multiplicative_inverse(b)),u),X1)
| ~ defined(multiplicative_inverse(b))
| ~ defined(u) ),
inference(duplicate_literal_removal,[],[f2106]) ).
fof(f2126,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(a,X1))
| ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(multiply(X0,multiplicative_inverse(b)),u),X1)
| ~ defined(u) ),
inference(forward_subsumption_resolution,[],[f2122,f65]) ).
fof(f2132,plain,
! [X0,X1] :
( equalish(multiply(multiply(X0,multiplicative_inverse(b)),u),X1)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X0,multiply(a,X1)) ),
inference(forward_subsumption_resolution,[],[f2126,f30]) ).
fof(f2141,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(multiply(X0,multiplicative_inverse(b)),u))
| ~ defined(X1)
| ~ equalish(X0,multiply(a,X1))
| ~ defined(X0)
| equalish(X2,X1) ),
inference(resolution,[],[f2132,f23]) ).
fof(f2201,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,multiply(a,X0))
| ~ defined(X1)
| equalish(multiply(multiply(multiplicative_inverse(b),u),X1),X0)
| ~ defined(u)
| ~ defined(X1)
| ~ defined(multiplicative_inverse(b)) ),
inference(resolution,[],[f2141,f73]) ).
fof(f2218,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,multiply(a,X0))
| ~ defined(X1)
| equalish(multiply(multiply(multiplicative_inverse(b),u),X1),X0)
| ~ defined(u)
| ~ defined(multiplicative_inverse(b)) ),
inference(duplicate_literal_removal,[],[f2201]) ).
fof(f2222,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,multiply(a,X0))
| ~ defined(X1)
| equalish(multiply(multiply(multiplicative_inverse(b),u),X1),X0)
| ~ defined(multiplicative_inverse(b)) ),
inference(forward_subsumption_resolution,[],[f2218,f30]) ).
fof(f2225,plain,
! [X0,X1] :
( equalish(multiply(multiply(multiplicative_inverse(b),u),X1),X0)
| ~ equalish(X1,multiply(a,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f2222,f65]) ).
fof(f2231,plain,
! [X0,X1] :
( equalish(X1,multiply(multiply(multiplicative_inverse(b),u),X0))
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X0,multiply(a,X1)) ),
inference(resolution,[],[f2225,f22]) ).
fof(f2232,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(multiply(multiplicative_inverse(b),u),X0))
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X0,multiply(a,X1))
| equalish(X2,X1) ),
inference(resolution,[],[f2225,f23]) ).
fof(f5654,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X0,multiply(a,X1))
| ~ defined(X0)
| ~ defined(X2)
| ~ equalish(X0,multiply(a,X2))
| equalish(X1,X2) ),
inference(resolution,[],[f2231,f2232]) ).
fof(f5719,plain,
! [X2,X0,X1] :
( ~ equalish(X0,multiply(a,X2))
| ~ defined(X1)
| ~ equalish(X0,multiply(a,X1))
| ~ defined(X2)
| ~ defined(X0)
| equalish(X1,X2) ),
inference(duplicate_literal_removal,[],[f5654]) ).
fof(f5850,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(b,multiply(a,X0))
| ~ defined(u)
| ~ defined(b)
| equalish(X0,u) ),
inference(resolution,[],[f5719,f38]) ).
fof(f5857,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(b,multiply(a,X0))
| ~ defined(b)
| equalish(X0,u) ),
inference(forward_subsumption_resolution,[],[f5850,f30]) ).
fof(f5863,plain,
! [X0] :
( ~ equalish(b,multiply(a,X0))
| ~ defined(X0)
| equalish(X0,u) ),
inference(forward_subsumption_resolution,[],[f5857,f29]) ).
fof(f5866,plain,
( ~ defined(v)
| equalish(v,u) ),
inference(resolution,[],[f5863,f39]) ).
fof(f5872,plain,
equalish(v,u),
inference(forward_subsumption_resolution,[],[f5866,f31]) ).
fof(f5875,plain,
equalish(u,v),
inference(resolution,[],[f5872,f22]) ).
fof(f5877,plain,
$false,
inference(forward_subsumption_resolution,[],[f5875,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD029-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n011.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:31:02 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.03/2.13 % (3950627)Input is clausal, will run a generic CNF schedule.
% 10.03/2.13 % (3950633)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=996625629:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.03/2.13 % (3950634)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3752709081:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.03/2.13 % (3950637)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3001946176:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.03/2.13 % (3950635)lrs+10_1_sil=8000:sp=occurrence:random_seed=44821830:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.03/2.13 % (3950636)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=329730733:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.03/2.13 % (3950632)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=956859983:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.03/2.13 % (3950638)dis-21_1_sil=8000:lcm=predicate:random_seed=75792198:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.03/2.13 % (3950635)Instruction limit reached!
% 10.03/2.13 % (3950635)------------------------------
% 10.03/2.13 % (3950635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.13 % (3950635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.13 % (3950635)CaDiCaL version: 2.1.3
% 10.03/2.13 % (3950635)Termination reason: Instruction limit
% 10.03/2.13 % (3950635)Termination phase: Saturation
% 10.03/2.13 % (3950635)Time elapsed: 0.067 s
% 10.03/2.13 % (3950635)Peak memory usage: 89 MB
% 10.03/2.13 % (3950635)Instructions burned: 107 (million)
% 10.03/2.13 % (3950636)Instruction limit reached!
% 10.03/2.13 % (3950636)------------------------------
% 10.03/2.13 % (3950636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.13 % (3950636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.13 % (3950636)CaDiCaL version: 2.1.3
% 10.03/2.13 % (3950636)Termination reason: Instruction limit
% 10.03/2.13 % (3950636)Termination phase: Saturation
% 10.03/2.13 % (3950636)Time elapsed: 0.068 s
% 10.03/2.13 % (3950636)Peak memory usage: 88 MB
% 10.03/2.13 % (3950636)Instructions burned: 114 (million)
% 10.03/2.13 % (3950638)Instruction limit reached!
% 10.03/2.13 % (3950638)------------------------------
% 10.03/2.13 % (3950638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.13 % (3950638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.13 % (3950638)CaDiCaL version: 2.1.3
% 10.03/2.13 % (3950638)Termination reason: Instruction limit
% 10.03/2.13 % (3950638)Termination phase: Saturation
% 10.03/2.13 % (3950638)Time elapsed: 0.073 s
% 10.03/2.13 % (3950638)Peak memory usage: 89 MB
% 10.03/2.13 % (3950638)Instructions burned: 118 (million)
% 10.03/2.13 % (3950637)Instruction limit reached!
% 10.03/2.13 % (3950637)------------------------------
% 10.03/2.13 % (3950637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.13 % (3950637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.13 % (3950637)CaDiCaL version: 2.1.3
% 10.03/2.13 % (3950637)Termination reason: Instruction limit
% 10.03/2.13 % (3950637)Termination phase: Saturation
% 10.03/2.13 % (3950637)Time elapsed: 0.121 s
% 10.03/2.13 % (3950637)Peak memory usage: 89 MB
% 10.03/2.13 % (3950637)Instructions burned: 181 (million)
% 10.03/2.13 % (3950646)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=1702982582:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.03/2.13 % (3950647)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=649813433: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)
% 10.03/2.13 % (3950648)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3087904726:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.03/2.13 % (3950649)lrs+10_64_to=lpo:sil=8000:random_seed=927666495:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.03/2.13 % (3950646)Instruction limit reached!
% 10.03/2.13 % (3950646)------------------------------
% 17.18/3.08 % (3950646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.08 % (3950646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.08 % (3950646)CaDiCaL version: 2.1.3
% 17.18/3.08 % (3950646)Termination reason: Instruction limit
% 17.18/3.08 % (3950646)Termination phase: Saturation
% 17.18/3.08 % (3950646)Time elapsed: 0.080 s
% 17.18/3.08 % (3950646)Peak memory usage: 89 MB
% 17.18/3.08 % (3950646)Instructions burned: 143 (million)
% 17.18/3.08 % (3950647)Instruction limit reached!
% 17.18/3.08 % (3950647)------------------------------
% 17.18/3.08 % (3950647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.08 % (3950647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.08 % (3950647)CaDiCaL version: 2.1.3
% 17.18/3.08 % (3950647)Termination reason: Instruction limit
% 17.18/3.08 % (3950647)Termination phase: Saturation
% 17.18/3.08 % (3950647)Time elapsed: 0.094 s
% 17.18/3.08 % (3950647)Peak memory usage: 94 MB
% 17.18/3.08 % (3950647)Instructions burned: 189 (million)
% 17.18/3.08 % (3950649)Instruction limit reached!
% 17.18/3.08 % (3950649)------------------------------
% 17.18/3.08 % (3950649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.08 % (3950649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.08 % (3950649)CaDiCaL version: 2.1.3
% 17.18/3.08 % (3950649)Termination reason: Instruction limit
% 17.18/3.08 % (3950649)Termination phase: Saturation
% 17.18/3.08 % (3950649)Time elapsed: 0.073 s
% 17.18/3.08 % (3950649)Peak memory usage: 89 MB
% 17.18/3.08 % (3950649)Instructions burned: 127 (million)
% 17.18/3.08 % (3950648)Instruction limit reached!
% 17.18/3.08 % (3950648)------------------------------
% 17.18/3.08 % (3950648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.08 % (3950648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.08 % (3950648)CaDiCaL version: 2.1.3
% 17.18/3.08 % (3950648)Termination reason: Instruction limit
% 17.18/3.08 % (3950648)Termination phase: Saturation
% 17.18/3.08 % (3950648)Time elapsed: 0.133 s
% 17.18/3.08 % (3950648)Peak memory usage: 89 MB
% 17.18/3.08 % (3950648)Instructions burned: 219 (million)
% 17.18/3.08 % (3950654)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1077400749:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 17.18/3.08 % (3950655)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3108357443:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 17.18/3.08 % (3950656)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1758706442:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 17.18/3.08 % (3950657)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=1599765595:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 17.18/3.08 % (3950657)Instruction limit reached!
% 17.18/3.08 % (3950657)------------------------------
% 17.18/3.08 % (3950657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.08 % (3950657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.08 % (3950657)CaDiCaL version: 2.1.3
% 17.18/3.08 % (3950657)Termination reason: Instruction limit
% 17.18/3.08 % (3950657)Termination phase: Saturation
% 17.18/3.08 % (3950657)Time elapsed: 0.053 s
% 17.18/3.08 % (3950657)Peak memory usage: 89 MB
% 17.18/3.08 % (3950657)Instructions burned: 108 (million)
% 17.18/3.08 % (3950655)Instruction limit reached!
% 17.18/3.08 % (3950655)------------------------------
% 17.18/3.08 % (3950655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.08 % (3950655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.08 % (3950655)CaDiCaL version: 2.1.3
% 17.18/3.08 % (3950655)Termination reason: Instruction limit
% 17.18/3.08 % (3950655)Termination phase: Saturation
% 17.18/3.08 % (3950655)Time elapsed: 0.111 s
% 17.18/3.08 % (3950655)Peak memory usage: 91 MB
% 17.18/3.08 % (3950655)Instructions burned: 157 (million)
% 17.18/3.08 % (3950654)Instruction limit reached!
% 17.18/3.08 % (3950654)------------------------------
% 17.18/3.08 % (3950654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.08 % (3950654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.08 % (3950654)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950654)Termination reason: Instruction limit
% 17.18/3.09 % (3950654)Termination phase: Saturation
% 17.18/3.09 % (3950654)Time elapsed: 0.129 s
% 17.18/3.09 % (3950654)Peak memory usage: 90 MB
% 17.18/3.09 % (3950654)Instructions burned: 194 (million)
% 17.18/3.09 % (3950663)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4144450837:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 17.18/3.09 % (3950664)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1008234073:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 17.18/3.09 % (3950662)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3860250967:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 17.18/3.09 % (3950662)Instruction limit reached!
% 17.18/3.09 % (3950662)------------------------------
% 17.18/3.09 % (3950662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950662)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950662)Termination reason: Instruction limit
% 17.18/3.09 % (3950662)Termination phase: Saturation
% 17.18/3.09 % (3950662)Time elapsed: 0.065 s
% 17.18/3.09 % (3950662)Peak memory usage: 89 MB
% 17.18/3.09 % (3950662)Instructions burned: 108 (million)
% 17.18/3.09 % (3950663)Instruction limit reached!
% 17.18/3.09 % (3950663)------------------------------
% 17.18/3.09 % (3950663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950663)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950663)Termination reason: Instruction limit
% 17.18/3.09 % (3950663)Termination phase: Saturation
% 17.18/3.09 % (3950663)Time elapsed: 0.145 s
% 17.18/3.09 % (3950663)Peak memory usage: 88 MB
% 17.18/3.09 % (3950663)Instructions burned: 243 (million)
% 17.18/3.09 % (3950668)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2782341336:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 17.18/3.09 % (3950669)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1296115816:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 17.18/3.09 % (3950668)Instruction limit reached!
% 17.18/3.09 % (3950668)------------------------------
% 17.18/3.09 % (3950668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950668)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950668)Termination reason: Instruction limit
% 17.18/3.09 % (3950668)Termination phase: Saturation
% 17.18/3.09 % (3950668)Time elapsed: 0.090 s
% 17.18/3.09 % (3950668)Peak memory usage: 89 MB
% 17.18/3.09 % (3950668)Instructions burned: 135 (million)
% 17.18/3.09 % (3950672)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=98011941:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 17.18/3.09 % (3950669)Instruction limit reached!
% 17.18/3.09 % (3950669)------------------------------
% 17.18/3.09 % (3950669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950669)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950669)Termination reason: Instruction limit
% 17.18/3.09 % (3950669)Termination phase: Saturation
% 17.18/3.09 % (3950669)Time elapsed: 0.236 s
% 17.18/3.09 % (3950669)Peak memory usage: 106 MB
% 17.18/3.09 % (3950669)Instructions burned: 500 (million)
% 17.18/3.09 % (3950672)Instruction limit reached!
% 17.18/3.09 % (3950672)------------------------------
% 17.18/3.09 % (3950672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950672)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950672)Termination reason: Instruction limit
% 17.18/3.09 % (3950672)Termination phase: Saturation
% 17.18/3.09 % (3950672)Time elapsed: 0.125 s
% 17.18/3.09 % (3950672)Peak memory usage: 91 MB
% 17.18/3.09 % (3950672)Instructions burned: 194 (million)
% 17.18/3.09 % (3950674)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=857256410:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 17.18/3.09 % (3950675)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=169689136:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 17.18/3.09 % (3950675)Instruction limit reached!
% 17.18/3.09 % (3950675)------------------------------
% 17.18/3.09 % (3950675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950675)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950675)Termination reason: Instruction limit
% 17.18/3.09 % (3950675)Termination phase: Saturation
% 17.18/3.09 % (3950675)Time elapsed: 0.066 s
% 17.18/3.09 % (3950675)Peak memory usage: 88 MB
% 17.18/3.09 % (3950675)Instructions burned: 158 (million)
% 17.18/3.09 % (3950674)Instruction limit reached!
% 17.18/3.09 % (3950674)------------------------------
% 17.18/3.09 % (3950674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950674)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950674)Termination reason: Instruction limit
% 17.18/3.09 % (3950674)Termination phase: Saturation
% 17.18/3.09 % (3950674)Time elapsed: 0.163 s
% 17.18/3.09 % (3950674)Peak memory usage: 91 MB
% 17.18/3.09 % (3950674)Instructions burned: 265 (million)
% 17.18/3.09 % (3950678)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=323394966:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 17.18/3.09 % (3950679)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2155834627:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 17.18/3.09 % (3950679)Instruction limit reached!
% 17.18/3.09 % (3950679)------------------------------
% 17.18/3.09 % (3950679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950679)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950679)Termination reason: Instruction limit
% 17.18/3.09 % (3950679)Termination phase: Saturation
% 17.18/3.09 % (3950679)Time elapsed: 0.336 s
% 17.18/3.09 % (3950679)Peak memory usage: 91 MB
% 17.18/3.09 % (3950679)Instructions burned: 537 (million)
% 17.18/3.09 % (3950656)First to succeed.
% 17.18/3.09 % (3950656)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3950627"
% 17.18/3.09 % (3950682)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1265700321:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 17.18/3.09 % (3950682)Instruction limit reached!
% 17.18/3.09 % (3950682)------------------------------
% 17.18/3.09 % (3950682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.09 % (3950682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.09 % (3950682)CaDiCaL version: 2.1.3
% 17.18/3.09 % (3950682)Termination reason: Instruction limit
% 17.18/3.09 % (3950682)Termination phase: Saturation
% 17.18/3.09 % (3950682)Time elapsed: 0.091 s
% 17.18/3.09 % (3950682)Peak memory usage: 93 MB
% 17.18/3.09 % (3950682)Instructions burned: 181 (million)
% 17.18/3.09 % (3950656)Refutation found. Thanks to Tanya!
% 17.18/3.09 % SZS status Unsatisfiable for theBenchmark
% 17.18/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 17.66/3.28 % (3950656)------------------------------
% 17.66/3.28 % (3950656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/3.28 % (3950656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/3.28 % (3950656)CaDiCaL version: 2.1.3
% 17.66/3.28 % (3950656)Termination reason: Refutation
% 17.66/3.28 % (3950656)Time elapsed: 1.545 s
% 17.66/3.28 % (3950656)Peak memory usage: 144 MB
% 17.66/3.28 % (3950656)Instructions burned: 2540 (million)
% 17.66/3.28 % (3950656)------------------------------
% 17.66/3.28 % (3950656)------------------------------
% 17.66/3.28 % (3950627)Success in time 2.415 s
% 17.66/3.28 % Vampire exiting
%------------------------------------------------------------------------------