%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD074-4 : 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 : n026.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 09:49:22 AM UTC 2026
% Result : Unsatisfiable 14.98s 2.88s
% Output : Refutation 16.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 26
% Syntax : Number of formulae : 99 ( 20 unt; 5 def)
% Number of atoms : 299 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 404 ( 204 ~; 195 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn 132 !; 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(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(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,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_6) ).
fof(f33,negated_conjecture,
less_or_equal(additive_identity,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_7) ).
fof(f34,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8) ).
fof(f35,negated_conjecture,
product(b,c,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
fof(f36,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_10) ).
fof(f100,plain,
! [X0,X1] :
( sum(X1,X0,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,X1,X3)
| ~ defined(X1)
| ~ less_or_equal(X2,X0)
| ~ defined(X0)
| less_or_equal(X3,add(X0,X1)) ),
inference(resolution,[],[f19,f24]) ).
fof(f128,plain,
! [X0,X1] :
( less_or_equal(additive_identity,multiply(X0,X1))
| ~ defined(X1)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,X1)
| ~ defined(X0) ),
inference(resolution,[],[f20,f25]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,c,X3)
| sum(X2,X3,v)
| ~ product(X0,c,X2)
| ~ sum(X0,X1,b) ),
inference(resolution,[],[f11,f35]) ).
fof(f153,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f160,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ less_or_equal(X0,X1)
| ~ defined(X1)
| less_or_equal(additive_identity,add(X1,additive_inverse(X0))) ),
inference(resolution,[],[f153,f102]) ).
fof(f165,plain,
! [X0,X1] :
( less_or_equal(additive_identity,add(X1,additive_inverse(X0)))
| ~ less_or_equal(X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f160,f15]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X3),X4)
| sum(X2,X3,X4)
| ~ sum(X0,X1,X2)
| ~ defined(X1)
| ~ defined(X3) ),
inference(resolution,[],[f2,f19]) ).
fof(f245,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(f257,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X1,X2),X2)
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f245,f19]) ).
fof(f260,plain,
! [X2,X0,X1] :
( sum(X0,add(X1,X2),X2)
| ~ sum(X0,X1,additive_identity)
| ~ defined(X2)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( sum(X0,X1,X1)
| ~ sum(X2,X3,X0)
| ~ defined(X3)
| ~ defined(X1)
| ~ sum(X2,X3,additive_identity)
| ~ defined(X1)
| ~ defined(X3) ),
inference(resolution,[],[f234,f260]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,X3,additive_identity)
| ~ sum(X2,X3,X0)
| ~ defined(X3)
| ~ defined(X1)
| sum(X0,X1,X1) ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| ~ defined(additive_inverse(X0))
| ~ defined(X2)
| sum(X1,X2,X2)
| ~ defined(X0) ),
inference(resolution,[],[f408,f153]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| ~ defined(X2)
| sum(X1,X2,X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f415,f15]) ).
fof(f432,plain,
! [X0,X1] :
( ~ defined(X0)
| sum(add(X1,additive_inverse(X1)),X0,X0)
| ~ defined(X1)
| ~ defined(X1)
| ~ defined(additive_inverse(X1)) ),
inference(resolution,[],[f428,f19]) ).
fof(f435,plain,
! [X0,X1] :
( ~ defined(X0)
| sum(add(X1,additive_inverse(X1)),X0,X0)
| ~ defined(X1)
| ~ defined(additive_inverse(X1)) ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f438,plain,
! [X0,X1] :
( sum(add(X1,additive_inverse(X1)),X0,X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f435,f15]) ).
fof(f440,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X2,X3,add(X1,additive_inverse(X1)))
| ~ defined(X1)
| ~ defined(X0)
| ~ sum(X3,X0,X4)
| sum(X2,X4,X0) ),
inference(resolution,[],[f438,f1]) ).
fof(f2188,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ sum(additive_inverse(X0),X1,X2)
| sum(X0,X2,X1)
| ~ defined(X0)
| ~ defined(additive_inverse(X0)) ),
inference(resolution,[],[f440,f19]) ).
fof(f2205,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ sum(additive_inverse(X0),X1,X2)
| sum(X0,X2,X1)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f2188]) ).
fof(f2207,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ defined(X1)
| ~ defined(X0)
| sum(X0,X2,X1) ),
inference(forward_subsumption_resolution,[],[f2205,f15]) ).
fof(f2221,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| sum(X1,add(X0,additive_inverse(X1)),X0)
| ~ defined(additive_inverse(X1))
| ~ defined(X0) ),
inference(resolution,[],[f2207,f100]) ).
fof(f2222,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| sum(X1,add(X0,additive_inverse(X1)),X0)
| ~ defined(additive_inverse(X1)) ),
inference(duplicate_literal_removal,[],[f2221]) ).
fof(f2228,plain,
! [X0,X1] :
( sum(X1,add(X0,additive_inverse(X1)),X0)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f2222,f15]) ).
fof(f2350,plain,
! [X0,X1] :
( sum(add(X1,additive_inverse(X0)),X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f2228,f5]) ).
fof(f4406,plain,
! [X0,X1] :
( ~ product(X1,c,X0)
| sum(X0,u,v)
| ~ sum(X1,a,b) ),
inference(resolution,[],[f151,f34]) ).
fof(f4448,plain,
! [X0] :
( sum(multiply(X0,c),u,v)
| ~ sum(X0,a,b)
| ~ defined(X0)
| ~ defined(c) ),
inference(resolution,[],[f4406,f20]) ).
fof(f4451,plain,
! [X0] :
( sum(multiply(X0,c),u,v)
| ~ sum(X0,a,b)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f4448,f29]) ).
fof(f5484,definition,
( spl0_83
<=> defined(additive_inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f5485,plain,
( defined(additive_inverse(a))
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f5484]) ).
fof(f5486,plain,
( ~ defined(additive_inverse(a))
| spl0_83 ),
inference(avatar_component_clause,[],[f5484]) ).
fof(f5508,plain,
( ~ defined(a)
| spl0_83 ),
inference(resolution,[],[f5486,f15]) ).
fof(f5509,plain,
( $false
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f5508,f27]) ).
fof(f5510,plain,
spl0_83,
inference(avatar_contradiction_clause,[],[f5509]) ).
fof(f8542,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X1,multiply(X0,c))
| ~ defined(X0)
| ~ sum(X0,a,b)
| ~ sum(X1,u,X2)
| less_or_equal(X2,v) ),
inference(resolution,[],[f4451,f24]) ).
fof(f8674,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,a,b)
| ~ sum(additive_identity,u,X1)
| less_or_equal(X1,v)
| ~ defined(c)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,c)
| ~ defined(X0) ),
inference(resolution,[],[f8542,f128]) ).
fof(f8679,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,a,b)
| ~ sum(additive_identity,u,X1)
| less_or_equal(X1,v)
| ~ defined(c)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,c) ),
inference(duplicate_literal_removal,[],[f8674]) ).
fof(f8680,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,a,b)
| ~ sum(additive_identity,u,X1)
| less_or_equal(X1,v)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,c) ),
inference(forward_subsumption_resolution,[],[f8679,f29]) ).
fof(f8695,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,a,b)
| ~ sum(additive_identity,u,X1)
| less_or_equal(X1,v)
| ~ less_or_equal(additive_identity,X0) ),
inference(forward_subsumption_resolution,[],[f8680,f33]) ).
fof(f8697,definition,
( spl0_149
<=> ! [X1] :
( ~ sum(additive_identity,u,X1)
| less_or_equal(X1,v) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f8698,plain,
( ! [X1] :
( ~ sum(additive_identity,u,X1)
| less_or_equal(X1,v) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f8697]) ).
fof(f8700,definition,
( spl0_150
<=> ! [X0] :
( ~ defined(X0)
| ~ less_or_equal(additive_identity,X0)
| ~ sum(X0,a,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f8701,plain,
( ! [X0] :
( ~ sum(X0,a,b)
| ~ less_or_equal(additive_identity,X0)
| ~ defined(X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f8700]) ).
fof(f8702,plain,
( spl0_149
| spl0_150 ),
inference(avatar_split_clause,[],[f8695,f8700,f8697]) ).
fof(f8703,plain,
( less_or_equal(u,v)
| ~ defined(u)
| ~ spl0_149 ),
inference(resolution,[],[f8698,f3]) ).
fof(f8713,plain,
( ~ defined(u)
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f8703,f36]) ).
fof(f8717,plain,
( $false
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f8713,f30]) ).
fof(f8718,plain,
~ spl0_149,
inference(avatar_contradiction_clause,[],[f8717]) ).
fof(f8723,plain,
( ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
| ~ defined(add(b,additive_inverse(a)))
| ~ defined(b)
| ~ defined(a)
| ~ spl0_150 ),
inference(resolution,[],[f8701,f2350]) ).
fof(f8737,plain,
( ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
| ~ defined(add(b,additive_inverse(a)))
| ~ defined(a)
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f8723,f28]) ).
fof(f8744,plain,
( ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
| ~ defined(add(b,additive_inverse(a)))
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f8737,f27]) ).
fof(f8765,definition,
( spl0_155
<=> defined(add(b,additive_inverse(a))) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f8767,plain,
( ~ defined(add(b,additive_inverse(a)))
| spl0_155 ),
inference(avatar_component_clause,[],[f8765]) ).
fof(f8769,definition,
( spl0_156
<=> less_or_equal(additive_identity,add(b,additive_inverse(a))) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f8771,plain,
( ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
| spl0_156 ),
inference(avatar_component_clause,[],[f8769]) ).
fof(f8772,plain,
( ~ spl0_155
| ~ spl0_156
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f8744,f8700,f8769,f8765]) ).
fof(f8849,plain,
( ~ less_or_equal(a,b)
| ~ defined(b)
| ~ defined(a)
| spl0_156 ),
inference(resolution,[],[f8771,f165]) ).
fof(f8850,plain,
( ~ defined(b)
| ~ defined(a)
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f8849,f32]) ).
fof(f8852,plain,
( ~ defined(a)
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f8850,f28]) ).
fof(f8854,plain,
( $false
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f8852,f27]) ).
fof(f8855,plain,
spl0_156,
inference(avatar_contradiction_clause,[],[f8854]) ).
fof(f8877,plain,
( ~ defined(b)
| ~ defined(additive_inverse(a))
| spl0_155 ),
inference(resolution,[],[f8767,f13]) ).
fof(f8878,plain,
( ~ defined(additive_inverse(a))
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f8877,f28]) ).
fof(f8879,plain,
( $false
| ~ spl0_83
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f8878,f5485]) ).
fof(f8880,plain,
( ~ spl0_83
| spl0_155 ),
inference(avatar_contradiction_clause,[],[f8879]) ).
cnf(s70,plain,
spl0_83,
inference(sat_conversion,[],[f5510]) ).
cnf(s137,plain,
( spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f8702]) ).
cnf(s138,plain,
~ spl0_149,
inference(sat_conversion,[],[f8718]) ).
cnf(s142,plain,
( ~ spl0_150
| ~ spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f8772]) ).
cnf(s145,plain,
spl0_156,
inference(sat_conversion,[],[f8855]) ).
cnf(s146,plain,
( ~ spl0_83
| spl0_155 ),
inference(sat_conversion,[],[f8880]) ).
cnf(s147,plain,
( ~ spl0_150
| ~ spl0_155 ),
inference(rat,[],[s142,s145]) ).
cnf(s148,plain,
spl0_150,
inference(rat,[],[s137,s138]) ).
cnf(s149,plain,
~ spl0_155,
inference(rat,[],[s147,s148]) ).
cnf(s150,plain,
~ spl0_83,
inference(rat,[],[s146,s149]) ).
cnf(s151,plain,
$false,
inference(rat,[],[s70,s150]) ).
fof(f8881,plain,
$false,
inference(avatar_sat_refutation,[],[s151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD074-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n026.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 00:55:58 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 6.93/1.82 % (256372)Input is clausal, will run a generic CNF schedule.
% 6.93/1.82 % (256383)dis-21_1_sil=8000:lcm=predicate:random_seed=2621356857: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)
% 6.93/1.82 % (256381)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1418605884:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.93/1.82 % (256377)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=3173495381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.93/1.82 % (256379)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1355828524:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.93/1.82 % (256380)lrs+10_1_sil=8000:sp=occurrence:random_seed=3165309984:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.93/1.82 % (256378)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2668549348:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.93/1.82 % (256382)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2523535069:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.93/1.82 % (256383)Instruction limit reached!
% 6.93/1.82 % (256383)------------------------------
% 6.93/1.82 % (256383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.82 % (256383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.82 % (256383)CaDiCaL version: 2.1.3
% 6.93/1.82 % (256383)Termination reason: Instruction limit
% 6.93/1.82 % (256383)Termination phase: Saturation
% 6.93/1.82 % (256383)Time elapsed: 0.041 s
% 6.93/1.82 % (256383)Peak memory usage: 89 MB
% 6.93/1.82 % (256383)Instructions burned: 120 (million)
% 6.93/1.82 % (256380)Instruction limit reached!
% 6.93/1.82 % (256380)------------------------------
% 6.93/1.82 % (256380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.82 % (256380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.82 % (256380)CaDiCaL version: 2.1.3
% 6.93/1.82 % (256380)Termination reason: Instruction limit
% 6.93/1.82 % (256380)Termination phase: Saturation
% 6.93/1.82 % (256380)Time elapsed: 0.061 s
% 6.93/1.82 % (256380)Peak memory usage: 88 MB
% 6.93/1.82 % (256380)Instructions burned: 108 (million)
% 6.93/1.82 % (256381)Instruction limit reached!
% 6.93/1.82 % (256381)------------------------------
% 6.93/1.82 % (256381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.82 % (256381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.82 % (256381)CaDiCaL version: 2.1.3
% 6.93/1.82 % (256381)Termination reason: Instruction limit
% 6.93/1.82 % (256381)Termination phase: Saturation
% 6.93/1.82 % (256381)Time elapsed: 0.069 s
% 6.93/1.82 % (256381)Peak memory usage: 88 MB
% 6.93/1.82 % (256381)Instructions burned: 114 (million)
% 6.93/1.82 % (256391)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=3939856937:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.93/1.82 % (256382)Instruction limit reached!
% 6.93/1.82 % (256382)------------------------------
% 6.93/1.82 % (256382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.82 % (256382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.82 % (256382)CaDiCaL version: 2.1.3
% 6.93/1.82 % (256382)Termination reason: Instruction limit
% 6.93/1.82 % (256382)Termination phase: Saturation
% 6.93/1.82 % (256382)Time elapsed: 0.122 s
% 6.93/1.82 % (256382)Peak memory usage: 88 MB
% 6.93/1.82 % (256382)Instructions burned: 180 (million)
% 6.93/1.82 % (256391)Instruction limit reached!
% 6.93/1.82 % (256391)------------------------------
% 6.93/1.82 % (256391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.82 % (256391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.82 % (256391)CaDiCaL version: 2.1.3
% 6.93/1.82 % (256391)Termination reason: Instruction limit
% 6.93/1.82 % (256391)Termination phase: Saturation
% 6.93/1.82 % (256391)Time elapsed: 0.043 s
% 6.93/1.82 % (256391)Peak memory usage: 89 MB
% 6.93/1.82 % (256391)Instructions burned: 145 (million)
% 6.93/1.82 % (256393)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3320173819:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.98/2.88 % (256392)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=898797913: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)
% 14.98/2.88 % (256396)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1837150373:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 14.98/2.88 % (256395)lrs+10_64_to=lpo:sil=8000:random_seed=1786990496:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 14.98/2.88 % (256396)Instruction limit reached!
% 14.98/2.88 % (256396)------------------------------
% 14.98/2.88 % (256396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256396)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256396)Termination reason: Instruction limit
% 14.98/2.88 % (256396)Termination phase: Saturation
% 14.98/2.88 % (256396)Time elapsed: 0.037 s
% 14.98/2.88 % (256396)Peak memory usage: 87 MB
% 14.98/2.88 % (256396)Instructions burned: 197 (million)
% 14.98/2.88 % (256392)Instruction limit reached!
% 14.98/2.88 % (256392)------------------------------
% 14.98/2.88 % (256392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256392)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256392)Termination reason: Instruction limit
% 14.98/2.88 % (256392)Termination phase: Saturation
% 14.98/2.88 % (256392)Time elapsed: 0.094 s
% 14.98/2.88 % (256392)Peak memory usage: 93 MB
% 14.98/2.88 % (256392)Instructions burned: 189 (million)
% 14.98/2.88 % (256395)Instruction limit reached!
% 14.98/2.88 % (256395)------------------------------
% 14.98/2.88 % (256395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256395)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256395)Termination reason: Instruction limit
% 14.98/2.88 % (256395)Termination phase: Saturation
% 14.98/2.88 % (256395)Time elapsed: 0.059 s
% 14.98/2.88 % (256395)Peak memory usage: 88 MB
% 14.98/2.88 % (256395)Instructions burned: 128 (million)
% 14.98/2.88 % (256393)Instruction limit reached!
% 14.98/2.88 % (256393)------------------------------
% 14.98/2.88 % (256393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256393)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256393)Termination reason: Instruction limit
% 14.98/2.88 % (256393)Termination phase: Saturation
% 14.98/2.88 % (256393)Time elapsed: 0.126 s
% 14.98/2.88 % (256393)Peak memory usage: 89 MB
% 14.98/2.88 % (256393)Instructions burned: 219 (million)
% 14.98/2.88 % (256401)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1415663870:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 14.98/2.88 % (256401)Instruction limit reached!
% 14.98/2.88 % (256401)------------------------------
% 14.98/2.88 % (256401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256401)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256401)Termination reason: Instruction limit
% 14.98/2.88 % (256401)Termination phase: Saturation
% 14.98/2.88 % (256401)Time elapsed: 0.055 s
% 14.98/2.88 % (256401)Peak memory usage: 90 MB
% 14.98/2.88 % (256401)Instructions burned: 159 (million)
% 14.98/2.88 % (256402)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=341271808:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 14.98/2.88 % (256403)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=21643718:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 14.98/2.88 % (256404)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=349458059:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 14.98/2.88 % (256403)Instruction limit reached!
% 14.98/2.88 % (256403)------------------------------
% 14.98/2.88 % (256403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256403)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256403)Termination reason: Instruction limit
% 14.98/2.88 % (256403)Termination phase: Saturation
% 14.98/2.88 % (256403)Time elapsed: 0.056 s
% 14.98/2.88 % (256403)Peak memory usage: 90 MB
% 14.98/2.88 % (256403)Instructions burned: 108 (million)
% 14.98/2.88 % (256404)Instruction limit reached!
% 14.98/2.88 % (256404)------------------------------
% 14.98/2.88 % (256404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256404)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256404)Termination reason: Instruction limit
% 14.98/2.88 % (256404)Termination phase: Saturation
% 14.98/2.88 % (256404)Time elapsed: 0.062 s
% 14.98/2.88 % (256404)Peak memory usage: 88 MB
% 14.98/2.88 % (256404)Instructions burned: 108 (million)
% 14.98/2.88 % (256406)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3269391724:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 14.98/2.88 % (256406)Instruction limit reached!
% 14.98/2.88 % (256406)------------------------------
% 14.98/2.88 % (256406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256406)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256406)Termination reason: Instruction limit
% 14.98/2.88 % (256406)Termination phase: Saturation
% 14.98/2.88 % (256406)Time elapsed: 0.078 s
% 14.98/2.88 % (256406)Peak memory usage: 89 MB
% 14.98/2.88 % (256406)Instructions burned: 242 (million)
% 14.98/2.88 % (256410)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2230058005:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 14.98/2.88 % (256412)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2485552445:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 14.98/2.88 % (256412)Instruction limit reached!
% 14.98/2.88 % (256412)------------------------------
% 14.98/2.88 % (256412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256412)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256412)Termination reason: Instruction limit
% 14.98/2.88 % (256412)Termination phase: Saturation
% 14.98/2.88 % (256412)Time elapsed: 0.050 s
% 14.98/2.88 % (256412)Peak memory usage: 87 MB
% 14.98/2.88 % (256412)Instructions burned: 136 (million)
% 14.98/2.88 % (256413)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3612305258:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 14.98/2.88 % (256417)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1023139774:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 14.98/2.88 % (256413)Instruction limit reached!
% 14.98/2.88 % (256413)------------------------------
% 14.98/2.88 % (256413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256413)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256413)Termination reason: Instruction limit
% 14.98/2.88 % (256413)Termination phase: Saturation
% 14.98/2.88 % (256413)Time elapsed: 0.139 s
% 14.98/2.88 % (256413)Peak memory usage: 105 MB
% 14.98/2.88 % (256413)Instructions burned: 499 (million)
% 14.98/2.88 % (256417)Instruction limit reached!
% 14.98/2.88 % (256417)------------------------------
% 14.98/2.88 % (256417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256417)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256417)Termination reason: Instruction limit
% 14.98/2.88 % (256417)Termination phase: Saturation
% 14.98/2.88 % (256417)Time elapsed: 0.111 s
% 14.98/2.88 % (256417)Peak memory usage: 92 MB
% 14.98/2.88 % (256417)Instructions burned: 191 (million)
% 14.98/2.88 % (256419)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4147845512:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 14.98/2.88 % (256419)Instruction limit reached!
% 14.98/2.88 % (256419)------------------------------
% 14.98/2.88 % (256419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256419)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256419)Termination reason: Instruction limit
% 14.98/2.88 % (256419)Termination phase: Saturation
% 14.98/2.88 % (256419)Time elapsed: 0.070 s
% 14.98/2.88 % (256419)Peak memory usage: 89 MB
% 14.98/2.88 % (256419)Instructions burned: 265 (million)
% 14.98/2.88 % (256421)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3974040258:cond=on:i=156:bs=on:gtg=exists_all:er=known_2989 on theBenchmark for (2989ds/156Mi)
% 14.98/2.88 % (256422)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=3405241773:i=3256:kws=precedence:bd=preordered:av=off_2988 on theBenchmark for (2988ds/3256Mi)
% 14.98/2.88 % (256421)Instruction limit reached!
% 14.98/2.88 % (256421)------------------------------
% 14.98/2.88 % (256421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256421)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256421)Termination reason: Instruction limit
% 14.98/2.88 % (256421)Termination phase: Saturation
% 14.98/2.88 % (256421)Time elapsed: 0.065 s
% 14.98/2.88 % (256421)Peak memory usage: 87 MB
% 14.98/2.88 % (256421)Instructions burned: 158 (million)
% 14.98/2.88 % (256425)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=898324519:i=537:av=off:ss=included_2987 on theBenchmark for (2987ds/537Mi)
% 14.98/2.88 % (256425)Instruction limit reached!
% 14.98/2.88 % (256425)------------------------------
% 14.98/2.88 % (256425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256425)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256425)Termination reason: Instruction limit
% 14.98/2.88 % (256425)Termination phase: Saturation
% 14.98/2.88 % (256425)Time elapsed: 0.187 s
% 14.98/2.88 % (256425)Peak memory usage: 87 MB
% 14.98/2.88 % (256425)Instructions burned: 537 (million)
% 14.98/2.88 % (256427)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2655831239:i=180:bd=preordered:av=off_2984 on theBenchmark for (2984ds/180Mi)
% 14.98/2.88 % (256427)Instruction limit reached!
% 14.98/2.88 % (256427)------------------------------
% 14.98/2.88 % (256427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.88 % (256427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.88 % (256427)CaDiCaL version: 2.1.3
% 14.98/2.88 % (256427)Termination reason: Instruction limit
% 14.98/2.88 % (256427)Termination phase: Saturation
% 14.98/2.88 % (256427)Time elapsed: 0.088 s
% 14.98/2.88 % (256427)Peak memory usage: 93 MB
% 14.98/2.88 % (256427)Instructions burned: 181 (million)
% 14.98/2.88 % (256377)First to succeed.
% 14.98/2.88 % (256377)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-256372"
% 14.98/2.88 % (256429)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3776497488:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2982 on theBenchmark for (2982ds/10307Mi)
% 14.98/2.88 % (256377)Refutation found. Thanks to Tanya!
% 14.98/2.88 % SZS status Unsatisfiable for theBenchmark
% 14.98/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 16.08/3.08 % (256377)------------------------------
% 16.08/3.08 % (256377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/3.08 % (256377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/3.08 % (256377)CaDiCaL version: 2.1.3
% 16.08/3.08 % (256377)Termination reason: Refutation
% 16.08/3.08 % (256377)Time elapsed: 1.752 s
% 16.08/3.08 % (256377)Peak memory usage: 142 MB
% 16.08/3.08 % (256377)Instructions burned: 2677 (million)
% 16.08/3.08 % (256377)------------------------------
% 16.08/3.08 % (256377)------------------------------
% 16.08/3.08 % (256372)Success in time 2.193 s
% 16.08/3.08 % Vampire exiting
%------------------------------------------------------------------------------