%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD028-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:05 AM UTC 2026
% Result : Unsatisfiable 7.44s 1.86s
% Output : Refutation 9.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 17 unt; 2 def)
% Number of atoms : 251 ( 4 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 342 ( 165 ~; 177 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f13,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_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(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f31,axiom,
defined(v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_is_defined) ).
fof(f32,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).
fof(f33,negated_conjecture,
equalish(multiply(a,u),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_b_6) ).
fof(f34,negated_conjecture,
equalish(multiply(a,v),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_b_7) ).
fof(f35,negated_conjecture,
~ equalish(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_equal_to_v_8) ).
fof(f36,definition,
sF0 = multiply(a,u),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f37,plain,
multiply(a,u) = sF0,
inference(reorient_equations,[],[f36]) ).
fof(f38,plain,
equalish(sF0,b),
inference(definition_folding,[],[f33,f37]) ).
fof(f39,definition,
sF1 = multiply(a,v),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f40,plain,
multiply(a,v) = sF1,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
equalish(sF1,b),
inference(definition_folding,[],[f34,f40]) ).
fof(f52,plain,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X2,X0) ),
inference(resolution,[],[f22,f25]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X0,multiply(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,multiply(multiply(X0,X1),X2)) ),
inference(resolution,[],[f5,f23]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f101,f8]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1)) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f126,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f122,f13]) ).
fof(f151,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(X0)))
| equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(X1,multiplicative_identity) ),
inference(resolution,[],[f7,f23]) ).
fof(f155,plain,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(resolution,[],[f151,f8]) ).
fof(f158,plain,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(multiplicative_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f155]) ).
fof(f161,plain,
! [X0] :
( equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f158,f15]) ).
fof(f186,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f15,f32]) ).
fof(f189,plain,
defined(multiplicative_inverse(a)),
inference(forward_subsumption_resolution,[],[f186,f28]) ).
fof(f190,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f6,f23]) ).
fof(f196,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(resolution,[],[f190,f25]) ).
fof(f201,plain,
! [X0,X1] :
( equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X1,X0))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f201,f23]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X2)
| equalish(multiply(multiply(X1,X2),X0),X2)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f206,f126]) ).
fof(f240,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X1,X2),X0),X2)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X2,X0),X1))
| ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f240,f23]) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f246,f126]) ).
fof(f268,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ equalish(multiply(X1,a),multiplicative_identity)
| ~ defined(X1)
| ~ defined(a)
| ~ defined(u)
| equalish(X0,u) ),
inference(superposition,[],[f246,f37]) ).
fof(f270,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f263]) ).
fof(f276,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ equalish(multiply(X1,a),multiplicative_identity)
| ~ defined(X1)
| ~ defined(u)
| equalish(X0,u) ),
inference(forward_subsumption_resolution,[],[f268,f28]) ).
fof(f279,plain,
! [X0,X1] :
( ~ equalish(multiply(X1,a),multiplicative_identity)
| ~ equalish(X0,multiply(sF0,X1))
| ~ defined(X1)
| equalish(X0,u) ),
inference(forward_subsumption_resolution,[],[f276,f30]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| equalish(X3,X2) ),
inference(resolution,[],[f270,f23]) ).
fof(f347,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ defined(X2)
| equalish(multiply(X3,X0),X1)
| ~ defined(X0)
| ~ equalish(X3,multiply(X1,X2)) ),
inference(resolution,[],[f330,f25]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2)
| equalish(multiply(X3,X0),X1)
| ~ equalish(X3,multiply(X1,X2)) ),
inference(duplicate_literal_removal,[],[f347]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(multiplicative_inverse(X1))
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(X1)),X0)
| ~ equalish(X2,multiply(X0,X1))
| ~ defined(X1)
| equalish(X1,additive_identity) ),
inference(resolution,[],[f362,f7]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(multiplicative_inverse(X1))
| ~ defined(X1)
| equalish(multiply(X2,multiplicative_inverse(X1)),X0)
| ~ equalish(X2,multiply(X0,X1))
| equalish(X1,additive_identity) ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f391,plain,
! [X2,X0,X1] :
( equalish(multiply(X2,multiplicative_inverse(X1)),X0)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,multiply(X0,X1))
| equalish(X1,additive_identity) ),
inference(forward_subsumption_resolution,[],[f384,f15]) ).
fof(f396,plain,
! [X2,X0,X1] :
( equalish(X1,multiply(X2,multiplicative_inverse(X0)))
| ~ defined(X1)
| ~ equalish(X2,multiply(X1,X0))
| equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f391,f22]) ).
fof(f793,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| equalish(X0,u)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(resolution,[],[f279,f161]) ).
fof(f800,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| equalish(X0,u)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f793,f15]) ).
fof(f803,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| equalish(X0,u)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f800,f28]) ).
fof(f804,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| equalish(X0,u) ),
inference(forward_subsumption_resolution,[],[f803,f32]) ).
fof(f805,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),u)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(sF0,X0) ),
inference(resolution,[],[f804,f52]) ).
fof(f869,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),u)
| ~ equalish(sF0,X0) ),
inference(forward_subsumption_resolution,[],[f805,f189]) ).
fof(f2039,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(sF0,X0)
| equalish(X1,u) ),
inference(resolution,[],[f869,f23]) ).
fof(f2042,plain,
! [X0,X1] :
( ~ equalish(sF0,X0)
| equalish(multiply(X1,multiplicative_inverse(a)),u)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X1,X0) ),
inference(resolution,[],[f2039,f25]) ).
fof(f2063,plain,
! [X0,X1] :
( ~ equalish(sF0,X0)
| equalish(multiply(X1,multiplicative_inverse(a)),u)
| ~ equalish(X1,X0) ),
inference(forward_subsumption_resolution,[],[f2042,f189]) ).
fof(f2070,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),u)
| ~ equalish(X0,b) ),
inference(resolution,[],[f2063,f38]) ).
fof(f2084,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(X0,b)
| equalish(X1,u) ),
inference(resolution,[],[f2070,f23]) ).
fof(f2092,plain,
! [X0,X1] :
( ~ equalish(X0,b)
| equalish(X1,u)
| ~ defined(X1)
| ~ equalish(X0,multiply(X1,a))
| equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f2084,f396]) ).
fof(f2103,plain,
! [X0,X1] :
( ~ equalish(X0,b)
| equalish(X1,u)
| ~ defined(X1)
| ~ equalish(X0,multiply(X1,a))
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f2092,f32]) ).
fof(f2110,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(X1,a))
| equalish(X1,u)
| ~ defined(X1)
| ~ equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f2103,f28]) ).
fof(f2259,plain,
! [X0] :
( equalish(X0,u)
| ~ defined(X0)
| ~ equalish(multiply(a,X0),b)
| ~ defined(a)
| ~ defined(X0) ),
inference(resolution,[],[f2110,f8]) ).
fof(f2271,plain,
! [X0] :
( equalish(X0,u)
| ~ defined(X0)
| ~ equalish(multiply(a,X0),b)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f2259]) ).
fof(f2290,plain,
! [X0] :
( ~ equalish(multiply(a,X0),b)
| ~ defined(X0)
| equalish(X0,u) ),
inference(forward_subsumption_resolution,[],[f2271,f28]) ).
fof(f2299,plain,
( ~ equalish(sF1,b)
| ~ defined(v)
| equalish(v,u) ),
inference(superposition,[],[f2290,f40]) ).
fof(f2301,plain,
( ~ defined(v)
| equalish(v,u) ),
inference(forward_subsumption_resolution,[],[f2299,f41]) ).
fof(f2304,plain,
equalish(v,u),
inference(forward_subsumption_resolution,[],[f2301,f31]) ).
fof(f2311,plain,
equalish(u,v),
inference(resolution,[],[f2304,f22]) ).
fof(f2312,plain,
$false,
inference(forward_subsumption_resolution,[],[f2311,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD028-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.16 % Computer : n003.cluster.edu
% 0.06/0.16 % Model : x86_64 x86_64
% 0.06/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.16 % Memory : 8046.5625MB
% 0.06/0.16 % OS : Linux 6.8.0-71-generic
% 0.06/0.16 % CPULimit : 300
% 0.06/0.16 % WCLimit : 300
% 0.06/0.16 % DateTime : Tue Sep 29 00:30:43 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 Running first-order theorem proving
% 0.06/0.19 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
% 6.69/1.77 % (2182553)Input is clausal, will run a generic CNF schedule.
% 6.69/1.77 % (2182562)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1863823799:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.69/1.77 % (2182559)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=52666572:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.69/1.77 % (2182562)Instruction limit reached!
% 6.69/1.77 % (2182562)------------------------------
% 6.69/1.77 % (2182562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.77 % (2182562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.77 % (2182562)CaDiCaL version: 2.1.3
% 6.69/1.77 % (2182562)Termination reason: Instruction limit
% 6.69/1.77 % (2182562)Termination phase: Saturation
% 6.69/1.77 % (2182562)Time elapsed: 0.038 s
% 6.69/1.77 % (2182562)Peak memory usage: 88 MB
% 6.69/1.77 % (2182562)Instructions burned: 117 (million)
% 6.69/1.77 % (2182560)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3079335854:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.69/1.77 % (2182558)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=2851923906:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.69/1.77 % (2182563)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3584899229:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.69/1.77 % (2182561)lrs+10_1_sil=8000:sp=occurrence:random_seed=1691414431:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.69/1.77 % (2182564)dis-21_1_sil=8000:lcm=predicate:random_seed=1902787936: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)
% 6.69/1.77 % (2182561)Instruction limit reached!
% 6.69/1.77 % (2182561)------------------------------
% 6.69/1.77 % (2182561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.77 % (2182561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.77 % (2182561)CaDiCaL version: 2.1.3
% 6.69/1.77 % (2182561)Termination reason: Instruction limit
% 6.69/1.77 % (2182561)Termination phase: Saturation
% 6.69/1.77 % (2182561)Time elapsed: 0.068 s
% 6.69/1.77 % (2182561)Peak memory usage: 89 MB
% 6.69/1.77 % (2182561)Instructions burned: 107 (million)
% 6.69/1.77 % (2182564)Instruction limit reached!
% 6.69/1.77 % (2182564)------------------------------
% 6.69/1.77 % (2182564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.77 % (2182564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.77 % (2182564)CaDiCaL version: 2.1.3
% 6.69/1.77 % (2182564)Termination reason: Instruction limit
% 6.69/1.77 % (2182564)Termination phase: Saturation
% 6.69/1.77 % (2182564)Time elapsed: 0.075 s
% 6.69/1.77 % (2182564)Peak memory usage: 89 MB
% 6.69/1.77 % (2182564)Instructions burned: 118 (million)
% 6.69/1.77 % (2182569)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=2788903903:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.69/1.77 % (2182563)Instruction limit reached!
% 6.69/1.77 % (2182563)------------------------------
% 6.69/1.77 % (2182563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.77 % (2182563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.77 % (2182563)CaDiCaL version: 2.1.3
% 6.69/1.77 % (2182563)Termination reason: Instruction limit
% 6.69/1.77 % (2182563)Termination phase: Saturation
% 6.69/1.77 % (2182563)Time elapsed: 0.118 s
% 6.69/1.77 % (2182563)Peak memory usage: 89 MB
% 6.69/1.77 % (2182563)Instructions burned: 181 (million)
% 6.69/1.77 % (2182569)Instruction limit reached!
% 6.69/1.77 % (2182569)------------------------------
% 6.69/1.77 % (2182569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.77 % (2182569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.77 % (2182569)CaDiCaL version: 2.1.3
% 6.69/1.77 % (2182569)Termination reason: Instruction limit
% 6.69/1.77 % (2182569)Termination phase: Saturation
% 6.69/1.77 % (2182569)Time elapsed: 0.043 s
% 6.69/1.77 % (2182569)Peak memory usage: 89 MB
% 6.69/1.77 % (2182569)Instructions burned: 143 (million)
% 6.69/1.77 % (2182575)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=82992897:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.44/1.86 % (2182577)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3735908930:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 7.44/1.86 % (2182573)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1764332369: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)
% 7.44/1.86 % (2182576)lrs+10_64_to=lpo:sil=8000:random_seed=2691548774:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.44/1.86 % (2182577)Instruction limit reached!
% 7.44/1.86 % (2182577)------------------------------
% 7.44/1.86 % (2182577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182577)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182577)Termination reason: Instruction limit
% 7.44/1.86 % (2182577)Termination phase: Saturation
% 7.44/1.86 % (2182577)Time elapsed: 0.070 s
% 7.44/1.86 % (2182577)Peak memory usage: 89 MB
% 7.44/1.86 % (2182577)Instructions burned: 197 (million)
% 7.44/1.86 % (2182573)Instruction limit reached!
% 7.44/1.86 % (2182573)------------------------------
% 7.44/1.86 % (2182573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182573)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182573)Termination reason: Instruction limit
% 7.44/1.86 % (2182573)Termination phase: Saturation
% 7.44/1.86 % (2182573)Time elapsed: 0.093 s
% 7.44/1.86 % (2182573)Peak memory usage: 94 MB
% 7.44/1.86 % (2182573)Instructions burned: 189 (million)
% 7.44/1.86 % (2182576)Instruction limit reached!
% 7.44/1.86 % (2182576)------------------------------
% 7.44/1.86 % (2182576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182576)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182576)Termination reason: Instruction limit
% 7.44/1.86 % (2182576)Termination phase: Saturation
% 7.44/1.86 % (2182576)Time elapsed: 0.079 s
% 7.44/1.86 % (2182576)Peak memory usage: 89 MB
% 7.44/1.86 % (2182576)Instructions burned: 127 (million)
% 7.44/1.86 % (2182575)Instruction limit reached!
% 7.44/1.86 % (2182575)------------------------------
% 7.44/1.86 % (2182575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182575)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182575)Termination reason: Instruction limit
% 7.44/1.86 % (2182575)Termination phase: Saturation
% 7.44/1.86 % (2182575)Time elapsed: 0.137 s
% 7.44/1.86 % (2182575)Peak memory usage: 90 MB
% 7.44/1.86 % (2182575)Instructions burned: 220 (million)
% 7.44/1.86 % (2182582)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4015421501:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.44/1.86 % (2182582)Instruction limit reached!
% 7.44/1.86 % (2182582)------------------------------
% 7.44/1.86 % (2182582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182582)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182582)Termination reason: Instruction limit
% 7.44/1.86 % (2182582)Termination phase: Saturation
% 7.44/1.86 % (2182582)Time elapsed: 0.061 s
% 7.44/1.86 % (2182582)Peak memory usage: 91 MB
% 7.44/1.86 % (2182582)Instructions burned: 158 (million)
% 7.44/1.86 % (2182583)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4142166179:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.44/1.86 % (2182584)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=1308822633:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.44/1.86 % (2182585)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4162665700:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 7.44/1.86 % (2182584)Instruction limit reached!
% 7.44/1.86 % (2182584)------------------------------
% 7.44/1.86 % (2182584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182584)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182584)Termination reason: Instruction limit
% 7.44/1.86 % (2182584)Termination phase: Saturation
% 7.44/1.86 % (2182584)Time elapsed: 0.053 s
% 7.44/1.86 % (2182584)Peak memory usage: 89 MB
% 7.44/1.86 % (2182584)Instructions burned: 106 (million)
% 7.44/1.86 % (2182588)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=860582040:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 7.44/1.86 % (2182585)Instruction limit reached!
% 7.44/1.86 % (2182585)------------------------------
% 7.44/1.86 % (2182585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182585)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182585)Termination reason: Instruction limit
% 7.44/1.86 % (2182585)Termination phase: Saturation
% 7.44/1.86 % (2182585)Time elapsed: 0.066 s
% 7.44/1.86 % (2182585)Peak memory usage: 89 MB
% 7.44/1.86 % (2182585)Instructions burned: 107 (million)
% 7.44/1.86 % (2182588)Instruction limit reached!
% 7.44/1.86 % (2182588)------------------------------
% 7.44/1.86 % (2182588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182588)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182588)Termination reason: Instruction limit
% 7.44/1.86 % (2182588)Termination phase: Saturation
% 7.44/1.86 % (2182588)Time elapsed: 0.083 s
% 7.44/1.86 % (2182588)Peak memory usage: 89 MB
% 7.44/1.86 % (2182588)Instructions burned: 243 (million)
% 7.44/1.86 % (2182592)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1663950425:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.44/1.86 % (2182593)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3889923632:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 7.44/1.86 % (2182594)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3391606743:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 7.44/1.86 % (2182593)Instruction limit reached!
% 7.44/1.86 % (2182593)------------------------------
% 7.44/1.86 % (2182593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182593)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182593)Termination reason: Instruction limit
% 7.44/1.86 % (2182593)Termination phase: Saturation
% 7.44/1.86 % (2182593)Time elapsed: 0.092 s
% 7.44/1.86 % (2182593)Peak memory usage: 89 MB
% 7.44/1.86 % (2182593)Instructions burned: 134 (million)
% 7.44/1.86 % (2182594)Instruction limit reached!
% 7.44/1.86 % (2182594)------------------------------
% 7.44/1.86 % (2182594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182594)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182594)Termination reason: Instruction limit
% 7.44/1.86 % (2182594)Termination phase: Saturation
% 7.44/1.86 % (2182594)Time elapsed: 0.128 s
% 7.44/1.86 % (2182594)Peak memory usage: 106 MB
% 7.44/1.86 % (2182594)Instructions burned: 500 (million)
% 7.44/1.86 % (2182558)First to succeed.
% 7.44/1.86 % (2182558)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2182553"
% 7.44/1.86 % (2182598)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2759375962:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.44/1.86 % (2182599)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3446288769:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 7.44/1.86 % (2182599)Instruction limit reached!
% 7.44/1.86 % (2182599)------------------------------
% 7.44/1.86 % (2182599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182599)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182599)Termination reason: Instruction limit
% 7.44/1.86 % (2182599)Termination phase: Saturation
% 7.44/1.86 % (2182599)Time elapsed: 0.089 s
% 7.44/1.86 % (2182599)Peak memory usage: 90 MB
% 7.44/1.86 % (2182599)Instructions burned: 265 (million)
% 7.44/1.86 % (2182598)Instruction limit reached!
% 7.44/1.86 % (2182598)------------------------------
% 7.44/1.86 % (2182598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.86 % (2182598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.86 % (2182598)CaDiCaL version: 2.1.3
% 7.44/1.86 % (2182598)Termination reason: Instruction limit
% 7.44/1.86 % (2182598)Termination phase: Saturation
% 7.44/1.86 % (2182598)Time elapsed: 0.123 s
% 7.44/1.86 % (2182598)Peak memory usage: 91 MB
% 7.44/1.86 % (2182598)Instructions burned: 192 (million)
% 7.44/1.86 % (2182558)Refutation found. Thanks to Tanya!
% 7.44/1.86 % SZS status Unsatisfiable for theBenchmark
% 7.44/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 9.35/2.06 % (2182558)------------------------------
% 9.35/2.06 % (2182558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.06 % (2182558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.06 % (2182558)CaDiCaL version: 2.1.3
% 9.35/2.06 % (2182558)Termination reason: Refutation
% 9.35/2.06 % (2182558)Time elapsed: 0.830 s
% 9.35/2.06 % (2182558)Peak memory usage: 130 MB
% 9.35/2.06 % (2182558)Instructions burned: 1232 (million)
% 9.35/2.06 % (2182558)------------------------------
% 9.35/2.06 % (2182558)------------------------------
% 9.35/2.06 % (2182553)Success in time 1.235 s
% 9.35/2.06 % Vampire exiting
%------------------------------------------------------------------------------