%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD063-1 : 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 : n001.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 09:49:18 AM UTC 2026
% Result : Unsatisfiable 6.06s 1.64s
% Output : Refutation 7.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 19
% Syntax : Number of formulae : 80 ( 11 unt; 2 def)
% Number of atoms : 282 ( 4 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 404 ( 202 ~; 202 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 160 ( 160 !; 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/sandbox2/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f18,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
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(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
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,negated_conjecture,
less_or_equal(additive_inverse(b),additive_inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f32,definition,
sF0 = additive_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
additive_inverse(b) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF1 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
additive_inverse(a) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
less_or_equal(sF0,sF1),
inference(definition_folding,[],[f30,f35,f33]) ).
fof(f68,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0)
| ~ defined(X0) ),
inference(factoring,[],[f18]) ).
fof(f69,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f72,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0) ),
inference(resolution,[],[f69,f26]) ).
fof(f83,plain,
! [X0,X1] :
( ~ equalish(X0,add(additive_identity,X1))
| equalish(X0,X1)
| ~ defined(X1) ),
inference(resolution,[],[f23,f2]) ).
fof(f85,plain,
! [X0,X1] :
( equalish(add(X0,X1),X1)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f83,f24]) ).
fof(f87,plain,
! [X0,X1] :
( equalish(add(X0,X1),X1)
| ~ defined(X1)
| ~ equalish(X0,additive_identity) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(X1,X0))
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f87,f23]) ).
fof(f99,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(f126,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,[],[f99,f4]) ).
fof(f131,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,[],[f126]) ).
fof(f134,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,[],[f131,f10]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2)
| equalish(add(add(X1,X2),X0),X2)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f90,f134]) ).
fof(f158,plain,
! [X2,X0,X1] :
( equalish(add(add(X1,X2),X0),X2)
| ~ defined(X2)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X2,X0),X1))
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f158,f23]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(X3,X0),X2)
| ~ defined(X0)
| ~ equalish(X3,add(X1,X2)) ),
inference(resolution,[],[f162,f24]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(X3,X0),X2)
| ~ equalish(X3,add(X1,X2)) ),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X1)
| equalish(add(X2,X0),X1)
| ~ equalish(X2,add(additive_inverse(X0),X1))
| ~ defined(X0) ),
inference(resolution,[],[f178,f3]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X1)
| equalish(add(X2,X0),X1)
| ~ equalish(X2,add(additive_inverse(X0),X1)) ),
inference(duplicate_literal_removal,[],[f200]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(additive_inverse(X0),X1))
| ~ defined(X1)
| equalish(add(X2,X0),X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f211,f12]) ).
fof(f221,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(add(add(X0,additive_inverse(X1)),X1),X0)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(additive_inverse(X1)) ),
inference(resolution,[],[f218,f4]) ).
fof(f230,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(add(add(X0,additive_inverse(X1)),X1),X0)
| ~ defined(X1)
| ~ defined(additive_inverse(X1)) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f231,plain,
! [X0,X1] :
( equalish(add(add(X0,additive_inverse(X1)),X1),X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f230,f12]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(add(X0,additive_inverse(X1)),X1))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f231,f23]) ).
fof(f253,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(add(additive_inverse(X0),X0),X1),X1)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(additive_inverse(X0)) ),
inference(resolution,[],[f233,f134]) ).
fof(f260,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(add(additive_inverse(X0),X0),X1),X1)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f266,plain,
! [X0,X1] :
( equalish(add(add(additive_inverse(X0),X0),X1),X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f260,f12]) ).
fof(f271,plain,
! [X0,X1] :
( equalish(X0,add(add(additive_inverse(X1),X1),X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f266,f22]) ).
fof(f281,plain,
! [X0] :
( equalish(add(add(sF0,b),X0),X0)
| ~ defined(X0)
| ~ defined(b) ),
inference(superposition,[],[f266,f33]) ).
fof(f283,plain,
! [X0] :
( equalish(add(add(sF0,b),X0),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f281,f29]) ).
fof(f293,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(add(add(additive_inverse(X0),X0),X1),X1)
| ~ defined(X1) ),
inference(resolution,[],[f271,f72]) ).
fof(f297,plain,
! [X0,X1] :
( less_or_equal(add(add(additive_inverse(X0),X0),X1),X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(additive_inverse(X1),X1),X0),X2)
| ~ defined(X1)
| less_or_equal(X2,X0)
| ~ defined(X0) ),
inference(resolution,[],[f297,f26]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| less_or_equal(add(X1,X2),X2)
| ~ defined(X2)
| ~ defined(X2)
| ~ equalish(add(additive_inverse(X0),X0),X1) ),
inference(resolution,[],[f376,f24]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ equalish(add(additive_inverse(X0),X0),X1)
| less_or_equal(add(X1,X2),X2)
| ~ defined(X2)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f426,plain,
! [X0,X1] :
( less_or_equal(add(add(X0,additive_inverse(X0)),X1),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(resolution,[],[f399,f4]) ).
fof(f436,plain,
! [X0,X1] :
( less_or_equal(add(add(X0,additive_inverse(X0)),X1),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f426]) ).
fof(f440,plain,
! [X0,X1] :
( less_or_equal(add(add(X0,additive_inverse(X0)),X1),X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f436,f12]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X1,additive_inverse(X1)),X0),X2)
| ~ defined(X1)
| less_or_equal(X2,X0)
| ~ defined(X0) ),
inference(resolution,[],[f440,f26]) ).
fof(f451,plain,
! [X0,X1] :
( ~ defined(X0)
| less_or_equal(add(add(X1,X0),additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(additive_inverse(X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f443,f134]) ).
fof(f472,plain,
! [X0,X1] :
( ~ defined(X0)
| less_or_equal(add(add(X1,X0),additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f479,plain,
! [X0,X1] :
( less_or_equal(add(add(X1,X0),additive_inverse(X0)),X1)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f472,f12]) ).
fof(f504,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X1,X0),additive_inverse(X0)),X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| ~ defined(X0) ),
inference(resolution,[],[f479,f26]) ).
fof(f515,plain,
! [X0,X1] :
( ~ defined(X0)
| less_or_equal(add(add(additive_inverse(X1),X0),X1),X0)
| ~ defined(X1)
| ~ defined(X1)
| ~ defined(additive_inverse(X1))
| ~ defined(X0) ),
inference(resolution,[],[f504,f134]) ).
fof(f529,plain,
! [X0,X1] :
( ~ defined(X0)
| less_or_equal(add(add(additive_inverse(X1),X0),X1),X0)
| ~ defined(X1)
| ~ defined(additive_inverse(X1)) ),
inference(duplicate_literal_removal,[],[f515]) ).
fof(f535,plain,
! [X0,X1] :
( less_or_equal(add(add(additive_inverse(X1),X0),X1),X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f529,f12]) ).
fof(f538,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X2,add(add(additive_inverse(X1),X0),X1))
| ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X2,X0) ),
inference(resolution,[],[f535,f17]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(add(X2,X0),X1)
| ~ defined(X0)
| ~ less_or_equal(X2,add(additive_inverse(X0),X1)) ),
inference(resolution,[],[f538,f19]) ).
fof(f583,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X2,add(additive_inverse(X0),X1))
| ~ defined(X1)
| less_or_equal(add(X2,X0),X1)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f573]) ).
fof(f3190,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| less_or_equal(add(add(X1,X0),X2),X0)
| ~ defined(X2)
| ~ defined(X0)
| ~ less_or_equal(X1,additive_inverse(X2)) ),
inference(resolution,[],[f583,f19]) ).
fof(f3215,plain,
! [X2,X0,X1] :
( less_or_equal(add(add(X1,X0),X2),X0)
| ~ defined(X0)
| ~ defined(X2)
| ~ less_or_equal(X1,additive_inverse(X2)) ),
inference(duplicate_literal_removal,[],[f3190]) ).
fof(f3220,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(add(X2,X0),X1),X3)
| ~ defined(X1)
| ~ less_or_equal(X2,additive_inverse(X1))
| less_or_equal(X3,X0)
| ~ defined(X0) ),
inference(resolution,[],[f3215,f26]) ).
fof(f3291,plain,
! [X0] :
( ~ defined(X0)
| ~ less_or_equal(sF0,additive_inverse(X0))
| less_or_equal(X0,b)
| ~ defined(b)
| ~ defined(X0) ),
inference(resolution,[],[f3220,f283]) ).
fof(f3310,plain,
! [X0] :
( ~ defined(X0)
| ~ less_or_equal(sF0,additive_inverse(X0))
| less_or_equal(X0,b)
| ~ defined(b) ),
inference(duplicate_literal_removal,[],[f3291]) ).
fof(f3324,plain,
! [X0] :
( ~ less_or_equal(sF0,additive_inverse(X0))
| ~ defined(X0)
| less_or_equal(X0,b) ),
inference(forward_subsumption_resolution,[],[f3310,f29]) ).
fof(f3846,plain,
( ~ less_or_equal(sF0,sF1)
| ~ defined(a)
| less_or_equal(a,b) ),
inference(superposition,[],[f3324,f35]) ).
fof(f3848,plain,
( ~ defined(a)
| less_or_equal(a,b) ),
inference(forward_subsumption_resolution,[],[f3846,f36]) ).
fof(f3849,plain,
less_or_equal(a,b),
inference(forward_subsumption_resolution,[],[f3848,f28]) ).
fof(f3850,plain,
$false,
inference(forward_subsumption_resolution,[],[f3849,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD063-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n001.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 00:53:34 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 6.06/1.64 % (913606)Input is clausal, will run a generic CNF schedule.
% 6.06/1.64 % (913748)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=3995328850:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.06/1.64 % (913749)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1571799075:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.06/1.64 % (913750)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1864685490:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.06/1.64 % (913752)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4039009151:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.06/1.64 % (913755)dis-21_1_sil=8000:lcm=predicate:random_seed=3746464142: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)
% 6.06/1.64 % (913751)lrs+10_1_sil=8000:sp=occurrence:random_seed=3898395378:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.06/1.64 % (913753)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4294080554:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.06/1.64 % (913751)Instruction limit reached!
% 6.06/1.64 % (913751)------------------------------
% 6.06/1.64 % (913751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913751)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913751)Termination reason: Instruction limit
% 6.06/1.64 % (913751)Termination phase: Saturation
% 6.06/1.64 % (913751)Time elapsed: 0.070 s
% 6.06/1.64 % (913751)Peak memory usage: 89 MB
% 6.06/1.64 % (913751)Instructions burned: 108 (million)
% 6.06/1.64 % (913755)Instruction limit reached!
% 6.06/1.64 % (913755)------------------------------
% 6.06/1.64 % (913755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913755)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913755)Termination reason: Instruction limit
% 6.06/1.64 % (913755)Termination phase: Saturation
% 6.06/1.64 % (913755)Time elapsed: 0.070 s
% 6.06/1.64 % (913755)Peak memory usage: 89 MB
% 6.06/1.64 % (913755)Instructions burned: 118 (million)
% 6.06/1.64 % (913752)Instruction limit reached!
% 6.06/1.64 % (913752)------------------------------
% 6.06/1.64 % (913752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913752)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913752)Termination reason: Instruction limit
% 6.06/1.64 % (913752)Termination phase: Saturation
% 6.06/1.64 % (913752)Time elapsed: 0.070 s
% 6.06/1.64 % (913752)Peak memory usage: 88 MB
% 6.06/1.64 % (913752)Instructions burned: 115 (million)
% 6.06/1.64 % (913753)Instruction limit reached!
% 6.06/1.64 % (913753)------------------------------
% 6.06/1.64 % (913753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913753)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913753)Termination reason: Instruction limit
% 6.06/1.64 % (913753)Termination phase: Saturation
% 6.06/1.64 % (913753)Time elapsed: 0.128 s
% 6.06/1.64 % (913753)Peak memory usage: 90 MB
% 6.06/1.64 % (913753)Instructions burned: 180 (million)
% 6.06/1.64 % (913818)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1968193416:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.06/1.64 % (913815)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=3518750002:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.06/1.64 % (913816)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1197079000: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)
% 6.06/1.64 % (913815)Instruction limit reached!
% 6.06/1.64 % (913815)------------------------------
% 6.06/1.64 % (913815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913815)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913815)Termination reason: Instruction limit
% 6.06/1.64 % (913815)Termination phase: Saturation
% 6.06/1.64 % (913815)Time elapsed: 0.069 s
% 6.06/1.64 % (913815)Peak memory usage: 88 MB
% 6.06/1.64 % (913815)Instructions burned: 144 (million)
% 6.06/1.64 % (913852)lrs+10_64_to=lpo:sil=8000:random_seed=989922882:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.06/1.64 % (913816)Instruction limit reached!
% 6.06/1.64 % (913816)------------------------------
% 6.06/1.64 % (913816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913816)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913816)Termination reason: Instruction limit
% 6.06/1.64 % (913816)Termination phase: Saturation
% 6.06/1.64 % (913816)Time elapsed: 0.096 s
% 6.06/1.64 % (913816)Peak memory usage: 94 MB
% 6.06/1.64 % (913816)Instructions burned: 191 (million)
% 6.06/1.64 % (913818)Instruction limit reached!
% 6.06/1.64 % (913818)------------------------------
% 6.06/1.64 % (913818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913818)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913818)Termination reason: Instruction limit
% 6.06/1.64 % (913818)Termination phase: Saturation
% 6.06/1.64 % (913818)Time elapsed: 0.123 s
% 6.06/1.64 % (913818)Peak memory usage: 88 MB
% 6.06/1.64 % (913818)Instructions burned: 220 (million)
% 6.06/1.64 % (913852)Instruction limit reached!
% 6.06/1.64 % (913852)------------------------------
% 6.06/1.64 % (913852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913852)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913852)Termination reason: Instruction limit
% 6.06/1.64 % (913852)Termination phase: Saturation
% 6.06/1.64 % (913852)Time elapsed: 0.079 s
% 6.06/1.64 % (913852)Peak memory usage: 89 MB
% 6.06/1.64 % (913852)Instructions burned: 126 (million)
% 6.06/1.64 % (913882)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4252657047:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.06/1.64 % (913884)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3396501270:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.06/1.64 % (913885)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2683198967:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.06/1.64 % (913891)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=2447087198:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.06/1.64 % (913882)Instruction limit reached!
% 6.06/1.64 % (913882)------------------------------
% 6.06/1.64 % (913882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913882)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913882)Termination reason: Instruction limit
% 6.06/1.64 % (913882)Termination phase: Saturation
% 6.06/1.64 % (913882)Time elapsed: 0.131 s
% 6.06/1.64 % (913882)Peak memory usage: 89 MB
% 6.06/1.64 % (913882)Instructions burned: 195 (million)
% 6.06/1.64 % (913884)Instruction limit reached!
% 6.06/1.64 % (913884)------------------------------
% 6.06/1.64 % (913884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913884)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913884)Termination reason: Instruction limit
% 6.06/1.64 % (913884)Termination phase: Saturation
% 6.06/1.64 % (913884)Time elapsed: 0.108 s
% 6.06/1.64 % (913884)Peak memory usage: 90 MB
% 6.06/1.64 % (913884)Instructions burned: 157 (million)
% 6.06/1.64 % (913891)Instruction limit reached!
% 6.06/1.64 % (913891)------------------------------
% 6.06/1.64 % (913891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.64 % (913891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.64 % (913891)CaDiCaL version: 2.1.3
% 6.06/1.64 % (913891)Termination reason: Instruction limit
% 6.06/1.64 % (913891)Termination phase: Saturation
% 6.06/1.64 % (913891)Time elapsed: 0.053 s
% 6.06/1.64 % (913891)Peak memory usage: 89 MB
% 6.06/1.64 % (913891)Instructions burned: 106 (million)
% 6.06/1.64 % (913748)First to succeed.
% 6.06/1.64 % (913748)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-913606"
% 6.06/1.64 % (913938)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=879057416:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.06/1.64 % (913939)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3155906436:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.06/1.64 % (913940)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3745046160:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.06/1.64 % (913748)Refutation found. Thanks to Tanya!
% 6.06/1.64 % SZS status Unsatisfiable for theBenchmark
% 6.06/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 7.42/1.83 % (913748)------------------------------
% 7.42/1.83 % (913748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.83 % (913748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.83 % (913748)CaDiCaL version: 2.1.3
% 7.42/1.83 % (913748)Termination reason: Refutation
% 7.42/1.83 % (913748)Time elapsed: 0.661 s
% 7.42/1.83 % (913748)Peak memory usage: 136 MB
% 7.42/1.83 % (913748)Instructions burned: 1805 (million)
% 7.42/1.83 % (913748)------------------------------
% 7.42/1.83 % (913748)------------------------------
% 7.42/1.83 % (913606)Success in time 0.964 s
% 7.42/1.83 % Vampire exiting
%------------------------------------------------------------------------------