%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD008-1 : 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 : n018.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 09:48:58 AM UTC 2026
% Result : Unsatisfiable 11.80s 2.33s
% Output : Refutation 12.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 14 unt; 4 def)
% Number of atoms : 307 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 430 ( 215 ~; 211 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 141 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
~ equalish(additive_inverse(add(a,b)),add(additive_inverse(a),additive_inverse(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_not_equal_to_add_3) ).
fof(f38,plain,
! [X0,X1] :
( ~ equalish(X0,add(additive_identity,X1))
| equalish(X0,X1)
| ~ defined(X1) ),
inference(resolution,[],[f23,f2]) ).
fof(f40,plain,
! [X0,X1] :
( equalish(add(X0,X1),X1)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f38,f24]) ).
fof(f42,plain,
! [X0,X1] :
( equalish(add(X0,X1),X1)
| ~ defined(X1)
| ~ equalish(X0,additive_identity) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(X1,X0))
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f42,f23]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X0,add(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,add(add(X0,X1),X2)) ),
inference(resolution,[],[f1,f23]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f86,f4]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f101,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f97,f10]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X0)
| equalish(add(add(X2,X0),X1),X0) ),
inference(resolution,[],[f101,f45]) ).
fof(f108,plain,
! [X2,X0,X1] :
( equalish(add(add(X2,X0),X1),X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X1,X2),X0))
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X2) ),
inference(resolution,[],[f108,f23]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X2)
| ~ defined(X1)
| equalish(add(X3,X1),X2)
| ~ defined(X1)
| ~ equalish(X3,add(X0,X2)) ),
inference(resolution,[],[f112,f24]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X2)
| ~ defined(X1)
| equalish(add(add(X2,X1),X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2) ),
inference(resolution,[],[f112,f101]) ).
fof(f128,plain,
! [X2,X0,X1] :
( equalish(add(add(X2,X1),X0),X2)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f123]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1)
| equalish(add(X3,X1),X2)
| ~ equalish(X3,add(X0,X2)) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X2,X0),X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| equalish(X3,X2) ),
inference(resolution,[],[f128,f23]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X1,X2),additive_identity)
| equalish(add(X3,X2),X0)
| ~ defined(X2)
| ~ equalish(X3,add(X0,X1)) ),
inference(resolution,[],[f133,f24]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(add(X3,X2),X0)
| ~ equalish(X3,add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0))
| ~ defined(X0) ),
inference(resolution,[],[f153,f3]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0)) ),
inference(duplicate_literal_removal,[],[f155]) ).
fof(f175,plain,
! [X2,X0,X1] :
( equalish(add(X2,additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f168,f12]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f175,f23]) ).
fof(f202,definition,
( spl0_3
<=> defined(additive_inverse(add(a,b))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f203,plain,
( defined(additive_inverse(add(a,b)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( ~ defined(additive_inverse(add(a,b)))
| spl0_3 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X2,X0))
| ~ defined(X2)
| equalish(add(X3,additive_inverse(X0)),X2)
| ~ defined(additive_inverse(X0))
| ~ equalish(X3,X1) ),
inference(resolution,[],[f179,f24]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X1,add(X2,X0))
| ~ defined(X0)
| ~ defined(X2)
| equalish(add(X3,additive_inverse(X0)),X2)
| ~ equalish(X3,X1) ),
inference(forward_subsumption_resolution,[],[f211,f12]) ).
fof(f229,plain,
( ~ defined(add(a,b))
| spl0_3 ),
inference(resolution,[],[f204,f12]) ).
fof(f230,plain,
( ~ defined(a)
| ~ defined(b)
| spl0_3 ),
inference(resolution,[],[f229,f10]) ).
fof(f231,plain,
( ~ defined(b)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f230,f28]) ).
fof(f232,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f231,f29]) ).
fof(f233,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f227,f4]) ).
fof(f267,plain,
! [X2,X0,X1] :
( equalish(add(X2,additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f248]) ).
fof(f282,plain,
! [X2,X0,X1] :
( equalish(X0,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X1,X0))
| ~ defined(X0) ),
inference(resolution,[],[f267,f22]) ).
fof(f293,plain,
( ~ defined(b)
| ~ equalish(additive_inverse(a),add(b,additive_inverse(add(a,b))))
| ~ defined(additive_inverse(add(a,b))) ),
inference(resolution,[],[f282,f30]) ).
fof(f309,plain,
( ~ equalish(additive_inverse(a),add(b,additive_inverse(add(a,b))))
| ~ defined(additive_inverse(add(a,b))) ),
inference(forward_subsumption_resolution,[],[f293,f29]) ).
fof(f310,plain,
( ~ equalish(additive_inverse(a),add(b,additive_inverse(add(a,b))))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f309,f203]) ).
fof(f311,plain,
( ~ defined(add(a,b))
| ~ equalish(b,add(add(a,b),additive_inverse(a)))
| ~ defined(additive_inverse(a))
| ~ spl0_3 ),
inference(resolution,[],[f310,f282]) ).
fof(f314,definition,
( spl0_5
<=> defined(additive_inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f316,plain,
( ~ defined(additive_inverse(a))
| spl0_5 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f322,definition,
( spl0_7
<=> defined(add(a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f324,plain,
( ~ defined(add(a,b))
| spl0_7 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f327,definition,
( spl0_8
<=> equalish(b,add(add(a,b),additive_inverse(a))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f329,plain,
( ~ equalish(b,add(add(a,b),additive_inverse(a)))
| spl0_8 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f311,f202,f322,f327,f314]) ).
fof(f331,plain,
( ~ defined(a)
| spl0_5 ),
inference(resolution,[],[f316,f12]) ).
fof(f332,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f331,f28]) ).
fof(f333,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f334,plain,
( ~ defined(a)
| ~ defined(b)
| spl0_7 ),
inference(resolution,[],[f324,f10]) ).
fof(f335,plain,
( ~ defined(b)
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f334,f28]) ).
fof(f336,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f335,f29]) ).
fof(f337,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ defined(X1)
| ~ defined(X0)
| equalish(add(X2,X0),X1)
| ~ equalish(X2,add(additive_inverse(X0),X1))
| ~ defined(X0) ),
inference(resolution,[],[f130,f3]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ defined(X1)
| ~ defined(X0)
| equalish(add(X2,X0),X1)
| ~ equalish(X2,add(additive_inverse(X0),X1)) ),
inference(duplicate_literal_removal,[],[f409]) ).
fof(f435,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(additive_inverse(X0),X1))
| ~ defined(X0)
| equalish(add(X2,X0),X1)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f425,f12]) ).
fof(f441,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(add(add(X1,additive_inverse(X0)),X0),X1)
| ~ defined(X1)
| ~ defined(X1)
| ~ defined(additive_inverse(X0)) ),
inference(resolution,[],[f435,f4]) ).
fof(f457,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(add(add(X1,additive_inverse(X0)),X0),X1)
| ~ defined(X1)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f460,plain,
! [X0,X1] :
( equalish(add(add(X1,additive_inverse(X0)),X0),X1)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f457,f12]) ).
fof(f464,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(add(X1,additive_inverse(X0)),X0))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X2,X1) ),
inference(resolution,[],[f460,f23]) ).
fof(f543,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(add(additive_inverse(X1),X1),X0),X0)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(additive_inverse(X1)) ),
inference(resolution,[],[f464,f101]) ).
fof(f557,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(add(additive_inverse(X1),X1),X0),X0)
| ~ defined(additive_inverse(X1)) ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f563,plain,
! [X0,X1] :
( equalish(add(add(additive_inverse(X1),X1),X0),X0)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f557,f12]) ).
fof(f601,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(add(additive_inverse(X0),X0),X1))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X2,X1) ),
inference(resolution,[],[f563,f23]) ).
fof(f654,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(add(X1,X0),additive_inverse(X1)),X0)
| ~ defined(X0)
| ~ defined(additive_inverse(X1))
| ~ defined(X1) ),
inference(resolution,[],[f601,f101]) ).
fof(f671,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(add(X1,X0),additive_inverse(X1)),X0)
| ~ defined(additive_inverse(X1)) ),
inference(duplicate_literal_removal,[],[f654]) ).
fof(f679,plain,
! [X0,X1] :
( equalish(add(add(X1,X0),additive_inverse(X1)),X0)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f671,f12]) ).
fof(f686,plain,
! [X0,X1] :
( equalish(X1,add(add(X0,X1),additive_inverse(X0)))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f679,f22]) ).
fof(f720,plain,
( ~ defined(b)
| ~ defined(a)
| spl0_8 ),
inference(resolution,[],[f686,f329]) ).
fof(f728,plain,
( ~ defined(a)
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f720,f29]) ).
fof(f731,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f728,f28]) ).
fof(f732,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f731]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f233]) ).
cnf(s5,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f330]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f333]) ).
cnf(s7,plain,
spl0_7,
inference(sat_conversion,[],[f337]) ).
cnf(s8,plain,
spl0_8,
inference(sat_conversion,[],[f732]) ).
cnf(s9,plain,
~ spl0_3,
inference(rat,[],[s5,s8,s7,s6]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s3,s9]) ).
fof(f734,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD008-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n018.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 00:24:40 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.31/2.10 % (3939972)Input is clausal, will run a generic CNF schedule.
% 10.31/2.10 % (3939981)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3184934748:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.31/2.10 % (3939981)Instruction limit reached!
% 10.31/2.10 % (3939981)------------------------------
% 10.31/2.10 % (3939981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.10 % (3939981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.10 % (3939981)CaDiCaL version: 2.1.3
% 10.31/2.10 % (3939981)Termination reason: Instruction limit
% 10.31/2.10 % (3939981)Termination phase: Saturation
% 10.31/2.10 % (3939981)Time elapsed: 0.039 s
% 10.31/2.10 % (3939981)Peak memory usage: 89 MB
% 10.31/2.10 % (3939981)Instructions burned: 117 (million)
% 10.31/2.10 % (3939978)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=373526020:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.31/2.10 % (3939979)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4138116645:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.31/2.10 % (3939982)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=239303307:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.31/2.10 % (3939977)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=3409323761:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.31/2.10 % (3939980)lrs+10_1_sil=8000:sp=occurrence:random_seed=1143465655:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.31/2.10 % (3939983)dis-21_1_sil=8000:lcm=predicate:random_seed=712760596: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)
% 10.31/2.10 % (3939980)Instruction limit reached!
% 10.31/2.10 % (3939980)------------------------------
% 10.31/2.10 % (3939980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.10 % (3939980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.10 % (3939980)CaDiCaL version: 2.1.3
% 10.31/2.10 % (3939980)Termination reason: Instruction limit
% 10.31/2.10 % (3939980)Termination phase: Saturation
% 10.31/2.10 % (3939980)Time elapsed: 0.067 s
% 10.31/2.10 % (3939980)Peak memory usage: 89 MB
% 10.31/2.10 % (3939980)Instructions burned: 107 (million)
% 10.31/2.10 % (3939983)Instruction limit reached!
% 10.31/2.10 % (3939983)------------------------------
% 10.31/2.10 % (3939983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.10 % (3939983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.10 % (3939983)CaDiCaL version: 2.1.3
% 10.31/2.10 % (3939983)Termination reason: Instruction limit
% 10.31/2.10 % (3939983)Termination phase: Saturation
% 10.31/2.10 % (3939983)Time elapsed: 0.073 s
% 10.31/2.10 % (3939983)Peak memory usage: 89 MB
% 10.31/2.10 % (3939983)Instructions burned: 117 (million)
% 10.31/2.10 % (3939982)Instruction limit reached!
% 10.31/2.10 % (3939982)------------------------------
% 10.31/2.10 % (3939982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.10 % (3939982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.10 % (3939982)CaDiCaL version: 2.1.3
% 10.31/2.10 % (3939982)Termination reason: Instruction limit
% 10.31/2.10 % (3939982)Termination phase: Saturation
% 10.31/2.10 % (3939982)Time elapsed: 0.113 s
% 10.31/2.10 % (3939982)Peak memory usage: 89 MB
% 10.31/2.10 % (3939982)Instructions burned: 181 (million)
% 10.31/2.10 % (3939991)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=1718150079:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.31/2.10 % (3939991)Refutation not found, incomplete strategy
% 10.31/2.10 % (3939991)------------------------------
% 10.31/2.10 % (3939991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.10 % (3939991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.10 % (3939991)CaDiCaL version: 2.1.3
% 10.31/2.10 % (3939991)Termination reason: Refutation not found, incomplete strategy
% 10.31/2.10 % (3939991)Time elapsed: 0.001 s
% 10.31/2.10 % (3939991)Peak memory usage: 87 MB
% 10.31/2.10 % (3939992)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1713214978: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)
% 11.80/2.33 % (3939993)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=225739468:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.80/2.33 % (3939994)lrs+10_64_to=lpo:sil=8000:random_seed=1864844023:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.80/2.33 % (3939991)------------------------------
% 11.80/2.33 % (3939991)------------------------------
% 11.80/2.33 % (3939992)Instruction limit reached!
% 11.80/2.33 % (3939992)------------------------------
% 11.80/2.33 % (3939992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3939992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3939992)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3939992)Termination reason: Instruction limit
% 11.80/2.33 % (3939992)Termination phase: Saturation
% 11.80/2.33 % (3939992)Time elapsed: 0.098 s
% 11.80/2.33 % (3939992)Peak memory usage: 94 MB
% 11.80/2.33 % (3939992)Instructions burned: 190 (million)
% 11.80/2.33 % (3939994)Instruction limit reached!
% 11.80/2.33 % (3939994)------------------------------
% 11.80/2.33 % (3939994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3939994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3939994)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3939994)Termination reason: Instruction limit
% 11.80/2.33 % (3939994)Termination phase: Saturation
% 11.80/2.33 % (3939994)Time elapsed: 0.084 s
% 11.80/2.33 % (3939994)Peak memory usage: 89 MB
% 11.80/2.33 % (3939994)Instructions burned: 127 (million)
% 11.80/2.33 % (3939993)Instruction limit reached!
% 11.80/2.33 % (3939993)------------------------------
% 11.80/2.33 % (3939993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3939993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3939993)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3939993)Termination reason: Instruction limit
% 11.80/2.33 % (3939993)Termination phase: Saturation
% 11.80/2.33 % (3939993)Time elapsed: 0.149 s
% 11.80/2.33 % (3939993)Peak memory usage: 90 MB
% 11.80/2.33 % (3939993)Instructions burned: 220 (million)
% 11.80/2.33 % (3939999)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1841694486:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.80/2.33 % (3939999)Instruction limit reached!
% 11.80/2.33 % (3939999)------------------------------
% 11.80/2.33 % (3939999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3939999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3939999)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3939999)Termination reason: Instruction limit
% 11.80/2.33 % (3939999)Termination phase: Saturation
% 11.80/2.33 % (3939999)Time elapsed: 0.040 s
% 11.80/2.33 % (3939999)Peak memory usage: 87 MB
% 11.80/2.33 % (3939999)Instructions burned: 197 (million)
% 11.80/2.33 % (3940000)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=342459176:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.80/2.33 % (3940001)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4147638240:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.80/2.33 % (3940002)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=3302808564:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.80/2.33 % (3940004)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=290507477:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.80/2.33 % (3940004)Refutation not found, incomplete strategy
% 11.80/2.33 % (3940004)------------------------------
% 11.80/2.33 % (3940004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940004)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940004)Termination reason: Refutation not found, incomplete strategy
% 11.80/2.33 % (3940004)Time elapsed: 0.001 s
% 11.80/2.33 % (3940004)Peak memory usage: 87 MB
% 11.80/2.33 % (3940002)Instruction limit reached!
% 11.80/2.33 % (3940002)------------------------------
% 11.80/2.33 % (3940002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940002)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940002)Termination reason: Instruction limit
% 11.80/2.33 % (3940002)Termination phase: Saturation
% 11.80/2.33 % (3940002)Time elapsed: 0.057 s
% 11.80/2.33 % (3940002)Peak memory usage: 91 MB
% 11.80/2.33 % (3940002)Instructions burned: 108 (million)
% 11.80/2.33 % (3940000)Instruction limit reached!
% 11.80/2.33 % (3940000)------------------------------
% 11.80/2.33 % (3940000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940000)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940000)Termination reason: Instruction limit
% 11.80/2.33 % (3940000)Termination phase: Saturation
% 11.80/2.33 % (3940000)Time elapsed: 0.114 s
% 11.80/2.33 % (3940000)Peak memory usage: 91 MB
% 11.80/2.33 % (3940000)Instructions burned: 158 (million)
% 11.80/2.33 % (3940004)------------------------------
% 11.80/2.33 % (3940004)------------------------------
% 11.80/2.33 % (3940009)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3645240557:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.80/2.33 % (3940010)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3004178223:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.80/2.33 % (3940012)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1760455070:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.80/2.33 % (3940009)Instruction limit reached!
% 11.80/2.33 % (3940009)------------------------------
% 11.80/2.33 % (3940009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940009)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940009)Termination reason: Instruction limit
% 11.80/2.33 % (3940009)Termination phase: Saturation
% 11.80/2.33 % (3940009)Time elapsed: 0.163 s
% 11.80/2.33 % (3940009)Peak memory usage: 89 MB
% 11.80/2.33 % (3940009)Instructions burned: 243 (million)
% 11.80/2.33 % (3940012)Instruction limit reached!
% 11.80/2.33 % (3940012)------------------------------
% 11.80/2.33 % (3940012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940012)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940012)Termination reason: Instruction limit
% 11.80/2.33 % (3940012)Termination phase: Saturation
% 11.80/2.33 % (3940012)Time elapsed: 0.048 s
% 11.80/2.33 % (3940012)Peak memory usage: 90 MB
% 11.80/2.33 % (3940012)Instructions burned: 136 (million)
% 11.80/2.33 % (3940016)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=753568443:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 11.80/2.33 % (3940015)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=291149237:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.80/2.33 % (3940016)Instruction limit reached!
% 11.80/2.33 % (3940016)------------------------------
% 11.80/2.33 % (3940016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940016)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940016)Termination reason: Instruction limit
% 11.80/2.33 % (3940016)Termination phase: Saturation
% 11.80/2.33 % (3940016)Time elapsed: 0.069 s
% 11.80/2.33 % (3940016)Peak memory usage: 91 MB
% 11.80/2.33 % (3940016)Instructions burned: 192 (million)
% 11.80/2.33 % (3940019)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2326086878:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.80/2.33 % (3940001)First to succeed.
% 11.80/2.33 % (3940001)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3939972"
% 11.80/2.33 % (3940015)Instruction limit reached!
% 11.80/2.33 % (3940015)------------------------------
% 11.80/2.33 % (3940015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940015)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940015)Termination reason: Instruction limit
% 11.80/2.33 % (3940015)Termination phase: Saturation
% 11.80/2.33 % (3940015)Time elapsed: 0.242 s
% 11.80/2.33 % (3940015)Peak memory usage: 105 MB
% 11.80/2.33 % (3940015)Instructions burned: 500 (million)
% 11.80/2.33 % (3940019)Instruction limit reached!
% 11.80/2.33 % (3940019)------------------------------
% 11.80/2.33 % (3940019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.33 % (3940019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.33 % (3940019)CaDiCaL version: 2.1.3
% 11.80/2.33 % (3940019)Termination reason: Instruction limit
% 11.80/2.33 % (3940019)Termination phase: Saturation
% 11.80/2.33 % (3940019)Time elapsed: 0.087 s
% 11.80/2.33 % (3940019)Peak memory usage: 90 MB
% 11.80/2.33 % (3940019)Instructions burned: 266 (million)
% 11.80/2.33 % (3940022)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=796958743:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 11.80/2.33 % (3940021)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3734914672:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 11.80/2.33 % (3940001)Refutation found. Thanks to Tanya!
% 11.80/2.33 % SZS status Unsatisfiable for theBenchmark
% 11.80/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 12.57/2.53 % (3940001)------------------------------
% 12.57/2.53 % (3940001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.53 % (3940001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.53 % (3940001)CaDiCaL version: 2.1.3
% 12.57/2.53 % (3940001)Termination reason: Refutation
% 12.57/2.53 % (3940001)Time elapsed: 0.741 s
% 12.57/2.53 % (3940001)Peak memory usage: 130 MB
% 12.57/2.53 % (3940001)Instructions burned: 1095 (million)
% 12.57/2.53 % (3940001)------------------------------
% 12.57/2.53 % (3940001)------------------------------
% 12.57/2.53 % (3939972)Success in time 1.69 s
% 12.57/2.53 % Vampire exiting
%------------------------------------------------------------------------------