%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD015-1 : 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 : 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 09:49:01 AM UTC 2026
% Result : Unsatisfiable 6.54s 1.76s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 14 unt; 2 def)
% Number of atoms : 230 ( 4 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 371 ( 209 ~; 162 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 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(f21,axiom,
! [X0] :
( equalish(X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_equality) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,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(a),additive_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_equals_additive_inverse_3) ).
fof(f31,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_b_4) ).
fof(f32,definition,
sF0 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
additive_inverse(a) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF1 = additive_inverse(b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
additive_inverse(b) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
equalish(sF0,sF1),
inference(definition_folding,[],[f30,f35,f33]) ).
fof(f37,plain,
equalish(additive_inverse(a),sF1),
inference(backward_demodulation,[],[f36,f33]) ).
fof(f38,plain,
equalish(additive_inverse(a),additive_inverse(b)),
inference(forward_demodulation,[],[f37,f35]) ).
fof(f40,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,b) ),
inference(resolution,[],[f23,f31]) ).
fof(f42,plain,
! [X0] :
( ~ equalish(X0,b)
| ~ equalish(X0,a) ),
inference(resolution,[],[f40,f22]) ).
fof(f60,plain,
( ~ equalish(add(additive_identity,b),a)
| ~ defined(b) ),
inference(resolution,[],[f42,f2]) ).
fof(f61,plain,
~ equalish(add(additive_identity,b),a),
inference(forward_subsumption_resolution,[],[f60,f29]) ).
fof(f62,plain,
! [X0] :
( ~ equalish(add(additive_identity,b),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f61,f23]) ).
fof(f68,plain,
! [X0] :
( ~ equalish(X0,add(additive_identity,b))
| ~ equalish(X0,a) ),
inference(resolution,[],[f62,f22]) ).
fof(f90,plain,
! [X0] :
( ~ equalish(add(X0,b),a)
| ~ defined(b)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f68,f24]) ).
fof(f102,plain,
! [X0] :
( ~ equalish(add(X0,b),a)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f90,f29]) ).
fof(f103,plain,
! [X0,X1] :
( ~ equalish(add(X0,b),X1)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,a) ),
inference(resolution,[],[f102,f23]) ).
fof(f107,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| ~ equalish(add(b,X0),a)
| ~ defined(X0)
| ~ defined(b) ),
inference(resolution,[],[f103,f4]) ).
fof(f111,plain,
! [X0] :
( ~ equalish(add(b,X0),a)
| ~ equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f107,f29]) ).
fof(f124,plain,
! [X0,X1] :
( ~ equalish(add(b,X0),X1)
| ~ defined(X0)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,a) ),
inference(resolution,[],[f111,f23]) ).
fof(f129,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(b,X0),X1),a)
| ~ defined(b)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f124,f1]) ).
fof(f135,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(b,X0),X1),a)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f129,f29]) ).
fof(f137,plain,
! [X0,X1] :
( ~ equalish(add(add(b,X0),X1),a)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f135,f10]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(b,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,a) ),
inference(resolution,[],[f137,f23]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),a)
| ~ defined(X1)
| ~ equalish(add(b,X0),X2) ),
inference(resolution,[],[f148,f24]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ equalish(add(b,X0),X2)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),a)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f162,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,b),X0),a)
| ~ defined(X1)
| ~ defined(b)
| ~ defined(X1) ),
inference(resolution,[],[f158,f4]) ).
fof(f167,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,b),X0),a)
| ~ defined(X1)
| ~ defined(b) ),
inference(duplicate_literal_removal,[],[f162]) ).
fof(f170,plain,
! [X0,X1] :
( ~ equalish(add(add(X1,b),X0),a)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f167,f29]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X0,b),X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,a) ),
inference(resolution,[],[f170,f23]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(X2,X0),a)
| ~ defined(X0)
| ~ equalish(add(X1,b),X2) ),
inference(resolution,[],[f174,f24]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X0),a)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X1,b),X2) ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X2,X1),X3)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(add(X0,b),X2)
| ~ defined(X0)
| ~ equalish(X3,a) ),
inference(resolution,[],[f184,f23]) ).
fof(f192,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(add(X0,b),additive_identity)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1) ),
inference(resolution,[],[f187,f2]) ).
fof(f201,plain,
! [X0,X1] :
( ~ equalish(add(X0,b),additive_identity)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ equalish(X1,a) ),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,b),X2)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X1)
| ~ equalish(X0,a)
| ~ defined(X0)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f201,f23]) ).
fof(f286,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1)
| ~ equalish(add(b,X0),additive_identity)
| ~ defined(X0)
| ~ defined(b) ),
inference(resolution,[],[f282,f4]) ).
fof(f290,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1)
| ~ equalish(add(b,X0),additive_identity)
| ~ defined(b) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f291,plain,
! [X0,X1] :
( ~ equalish(add(b,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity) ),
inference(forward_subsumption_resolution,[],[f290,f29]) ).
fof(f293,plain,
! [X0] :
( ~ defined(additive_inverse(b))
| ~ equalish(X0,a)
| ~ defined(X0)
| ~ equalish(add(additive_inverse(b),X0),additive_identity)
| ~ defined(b) ),
inference(resolution,[],[f291,f3]) ).
fof(f296,plain,
! [X0] :
( ~ equalish(X0,a)
| ~ defined(X0)
| ~ equalish(add(additive_inverse(b),X0),additive_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f293,f12]) ).
fof(f297,plain,
! [X0] :
( ~ equalish(add(additive_inverse(b),X0),additive_identity)
| ~ defined(X0)
| ~ equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f296,f29]) ).
fof(f314,plain,
! [X0,X1] :
( ~ equalish(add(additive_inverse(b),X0),X1)
| ~ equalish(X0,a)
| ~ defined(X0)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f297,f23]) ).
fof(f319,plain,
! [X0,X1] :
( ~ equalish(X0,a)
| ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(additive_inverse(b),X1) ),
inference(resolution,[],[f314,f24]) ).
fof(f326,plain,
! [X0,X1] :
( ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(X0,a)
| ~ equalish(additive_inverse(b),X1) ),
inference(duplicate_literal_removal,[],[f319]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,X0),X2)
| ~ equalish(X0,a)
| ~ equalish(additive_inverse(b),X1)
| ~ defined(X0)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f326,f23]) ).
fof(f403,plain,
! [X0,X1] :
( ~ equalish(X0,a)
| ~ equalish(additive_inverse(b),X1)
| ~ defined(X0)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f350,f4]) ).
fof(f408,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(additive_inverse(b),X1)
| ~ defined(X0)
| ~ equalish(X0,a)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f412,plain,
! [X0] :
( ~ equalish(additive_inverse(b),additive_inverse(X0))
| ~ defined(X0)
| ~ equalish(X0,a)
| ~ defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(resolution,[],[f408,f3]) ).
fof(f417,plain,
! [X0] :
( ~ equalish(additive_inverse(b),additive_inverse(X0))
| ~ defined(X0)
| ~ equalish(X0,a)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f418,plain,
! [X0] :
( ~ equalish(additive_inverse(b),additive_inverse(X0))
| ~ defined(X0)
| ~ equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f417,f12]) ).
fof(f420,plain,
! [X0] :
( ~ equalish(additive_inverse(X0),additive_inverse(b))
| ~ equalish(X0,a)
| ~ defined(X0) ),
inference(resolution,[],[f418,f22]) ).
fof(f425,plain,
( ~ equalish(a,a)
| ~ defined(a) ),
inference(resolution,[],[f420,f38]) ).
fof(f429,plain,
~ defined(a),
inference(forward_subsumption_resolution,[],[f425,f21]) ).
fof(f430,plain,
$false,
inference(forward_subsumption_resolution,[],[f429,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD015-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n001.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:32:20 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/1.76 % (903954)Input is clausal, will run a generic CNF schedule.
% 6.54/1.76 % (904020)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3517306305:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.54/1.76 % (904016)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=308486669:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.54/1.76 % (904020)Instruction limit reached!
% 6.54/1.76 % (904020)------------------------------
% 6.54/1.76 % (904020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904020)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904020)Termination reason: Instruction limit
% 6.54/1.76 % (904020)Termination phase: Saturation
% 6.54/1.76 % (904020)Time elapsed: 0.038 s
% 6.54/1.76 % (904020)Peak memory usage: 88 MB
% 6.54/1.76 % (904020)Instructions burned: 118 (million)
% 6.54/1.76 % (904018)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3539917467:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.54/1.76 % (904017)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3922091537:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.54/1.76 % (904019)lrs+10_1_sil=8000:sp=occurrence:random_seed=2750361815:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.54/1.76 % (904021)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=571788358:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.54/1.76 % (904022)dis-21_1_sil=8000:lcm=predicate:random_seed=3809852586: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)
% 6.54/1.76 % (904019)Instruction limit reached!
% 6.54/1.76 % (904019)------------------------------
% 6.54/1.76 % (904019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904019)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904019)Termination reason: Instruction limit
% 6.54/1.76 % (904019)Termination phase: Saturation
% 6.54/1.76 % (904019)Time elapsed: 0.068 s
% 6.54/1.76 % (904019)Peak memory usage: 89 MB
% 6.54/1.76 % (904019)Instructions burned: 108 (million)
% 6.54/1.76 % (904027)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=1390833075:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.54/1.76 % (904022)Instruction limit reached!
% 6.54/1.76 % (904022)------------------------------
% 6.54/1.76 % (904022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904022)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904022)Termination reason: Instruction limit
% 6.54/1.76 % (904022)Termination phase: Saturation
% 6.54/1.76 % (904022)Time elapsed: 0.075 s
% 6.54/1.76 % (904022)Peak memory usage: 89 MB
% 6.54/1.76 % (904022)Instructions burned: 118 (million)
% 6.54/1.76 % (904027)Instruction limit reached!
% 6.54/1.76 % (904027)------------------------------
% 6.54/1.76 % (904027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904027)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904027)Termination reason: Instruction limit
% 6.54/1.76 % (904027)Termination phase: Saturation
% 6.54/1.76 % (904027)Time elapsed: 0.044 s
% 6.54/1.76 % (904027)Peak memory usage: 89 MB
% 6.54/1.76 % (904027)Instructions burned: 145 (million)
% 6.54/1.76 % (904021)Instruction limit reached!
% 6.54/1.76 % (904021)------------------------------
% 6.54/1.76 % (904021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904021)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904021)Termination reason: Instruction limit
% 6.54/1.76 % (904021)Termination phase: Saturation
% 6.54/1.76 % (904021)Time elapsed: 0.123 s
% 6.54/1.76 % (904021)Peak memory usage: 89 MB
% 6.54/1.76 % (904021)Instructions burned: 180 (million)
% 6.54/1.76 % (904034)lrs+10_64_to=lpo:sil=8000:random_seed=2919283609:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.54/1.76 % (904031)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=835411481: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)
% 6.54/1.76 % (904033)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2186563105:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.54/1.76 % (904034)Instruction limit reached!
% 6.54/1.76 % (904034)------------------------------
% 6.54/1.76 % (904034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904034)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904034)Termination reason: Instruction limit
% 6.54/1.76 % (904034)Termination phase: Saturation
% 6.54/1.76 % (904034)Time elapsed: 0.042 s
% 6.54/1.76 % (904034)Peak memory usage: 89 MB
% 6.54/1.76 % (904034)Instructions burned: 130 (million)
% 6.54/1.76 % (904035)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2886154216:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.54/1.76 % (904031)Instruction limit reached!
% 6.54/1.76 % (904031)------------------------------
% 6.54/1.76 % (904031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904031)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904031)Termination reason: Instruction limit
% 6.54/1.76 % (904031)Termination phase: Saturation
% 6.54/1.76 % (904031)Time elapsed: 0.097 s
% 6.54/1.76 % (904031)Peak memory usage: 94 MB
% 6.54/1.76 % (904031)Instructions burned: 190 (million)
% 6.54/1.76 % (904039)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1318874157:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 6.54/1.76 % (904033)Instruction limit reached!
% 6.54/1.76 % (904033)------------------------------
% 6.54/1.76 % (904033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904033)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904033)Termination reason: Instruction limit
% 6.54/1.76 % (904033)Termination phase: Saturation
% 6.54/1.76 % (904033)Time elapsed: 0.137 s
% 6.54/1.76 % (904033)Peak memory usage: 90 MB
% 6.54/1.76 % (904033)Instructions burned: 219 (million)
% 6.54/1.76 % (904039)Instruction limit reached!
% 6.54/1.76 % (904039)------------------------------
% 6.54/1.76 % (904039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904039)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904039)Termination reason: Instruction limit
% 6.54/1.76 % (904039)Termination phase: Saturation
% 6.54/1.76 % (904039)Time elapsed: 0.057 s
% 6.54/1.76 % (904039)Peak memory usage: 90 MB
% 6.54/1.76 % (904039)Instructions burned: 159 (million)
% 6.54/1.76 % (904035)Instruction limit reached!
% 6.54/1.76 % (904035)------------------------------
% 6.54/1.76 % (904035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904035)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904035)Termination reason: Instruction limit
% 6.54/1.76 % (904035)Termination phase: Saturation
% 6.54/1.76 % (904035)Time elapsed: 0.127 s
% 6.54/1.76 % (904035)Peak memory usage: 89 MB
% 6.54/1.76 % (904035)Instructions burned: 194 (million)
% 6.54/1.76 % (904041)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1154316003:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.54/1.76 % (904044)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3186284516:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.54/1.76 % (904043)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=3637916516:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.54/1.76 % (904044)Instruction limit reached!
% 6.54/1.76 % (904044)------------------------------
% 6.54/1.76 % (904044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904044)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904044)Termination reason: Instruction limit
% 6.54/1.76 % (904044)Termination phase: Saturation
% 6.54/1.76 % (904044)Time elapsed: 0.036 s
% 6.54/1.76 % (904044)Peak memory usage: 89 MB
% 6.54/1.76 % (904044)Instructions burned: 116 (million)
% 6.54/1.76 % (904045)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1826400136:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.54/1.76 % (904043)Instruction limit reached!
% 6.54/1.76 % (904043)------------------------------
% 6.54/1.76 % (904043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904043)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904043)Termination reason: Instruction limit
% 6.54/1.76 % (904043)Termination phase: Saturation
% 6.54/1.76 % (904043)Time elapsed: 0.056 s
% 6.54/1.76 % (904043)Peak memory usage: 89 MB
% 6.54/1.76 % (904043)Instructions burned: 107 (million)
% 6.54/1.76 % (904049)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2560099506:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.54/1.76 % (904051)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=481115304:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.54/1.76 % (904018)First to succeed.
% 6.54/1.76 % (904045)Instruction limit reached!
% 6.54/1.76 % (904045)------------------------------
% 6.54/1.76 % (904045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904045)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904045)Termination reason: Instruction limit
% 6.54/1.76 % (904045)Termination phase: Saturation
% 6.54/1.76 % (904045)Time elapsed: 0.161 s
% 6.54/1.76 % (904045)Peak memory usage: 89 MB
% 6.54/1.76 % (904045)Instructions burned: 242 (million)
% 6.54/1.76 % (904018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-903954"
% 6.54/1.76 % (904051)Instruction limit reached!
% 6.54/1.76 % (904051)------------------------------
% 6.54/1.76 % (904051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.76 % (904051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.76 % (904051)CaDiCaL version: 2.1.3
% 6.54/1.76 % (904051)Termination reason: Instruction limit
% 6.54/1.76 % (904051)Termination phase: Saturation
% 6.54/1.76 % (904051)Time elapsed: 0.088 s
% 6.54/1.76 % (904051)Peak memory usage: 89 MB
% 6.54/1.76 % (904051)Instructions burned: 134 (million)
% 6.54/1.76 % (904054)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1497909516:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.54/1.76 % (904055)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1524813853:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.54/1.76 % (904018)Refutation found. Thanks to Tanya!
% 6.54/1.76 % SZS status Unsatisfiable for theBenchmark
% 6.54/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/1.95 % (904018)------------------------------
% 8.38/1.95 % (904018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.95 % (904018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.95 % (904018)CaDiCaL version: 2.1.3
% 8.38/1.95 % (904018)Termination reason: Refutation
% 8.38/1.95 % (904018)Time elapsed: 0.691 s
% 8.38/1.95 % (904018)Peak memory usage: 129 MB
% 8.38/1.95 % (904018)Instructions burned: 1010 (million)
% 8.38/1.95 % (904018)------------------------------
% 8.38/1.95 % (904018)------------------------------
% 8.38/1.95 % (903954)Success in time 1.09 s
% 8.38/1.95 % Vampire exiting
%------------------------------------------------------------------------------