%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD033-1 : 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 : n010.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 09:49:06 AM UTC 2026
% Result : Unsatisfiable 7.25s 1.56s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 13 unt; 1 def)
% Number of atoms : 160 ( 2 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 212 ( 103 ~; 109 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 75 ( 75 !; 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(f29,axiom,
defined(m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_is_defined) ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f31,negated_conjecture,
equalish(multiply(m,a),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_a_4) ).
fof(f32,negated_conjecture,
~ equalish(m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_not_equal_to_multiplicative_identity_5) ).
fof(f33,definition,
sF0 = multiply(m,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f34,plain,
multiply(m,a) = sF0,
inference(reorient_equations,[],[f33]) ).
fof(f35,plain,
equalish(sF0,a),
inference(definition_folding,[],[f31,f34]) ).
fof(f36,plain,
equalish(a,sF0),
inference(resolution,[],[f22,f35]) ).
fof(f47,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f6,f23]) ).
fof(f60,plain,
! [X0] :
( equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0)))
| equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f7,f22]) ).
fof(f140,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(resolution,[],[f47,f25]) ).
fof(f145,plain,
! [X0,X1] :
( equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X1,X0))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f145,f23]) ).
fof(f245,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f15,f30]) ).
fof(f250,plain,
defined(multiplicative_inverse(a)),
inference(forward_subsumption_resolution,[],[f245,f28]) ).
fof(f258,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(f274,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,[],[f258,f8]) ).
fof(f280,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,[],[f274]) ).
fof(f283,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,[],[f280,f13]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X0)
| equalish(multiply(multiply(X2,X0),X1),X0) ),
inference(resolution,[],[f283,f159]) ).
fof(f300,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X2,X0),X1),X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X1,X2),X0))
| ~ defined(X1)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X2) ),
inference(resolution,[],[f300,f23]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(multiply(X1,X0),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(multiply(X2,X1),X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2) ),
inference(resolution,[],[f314,f283]) ).
fof(f340,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X2,X1),X0),X2)
| ~ equalish(multiply(X1,X0),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f333]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X2,X0),X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| equalish(X3,X2) ),
inference(resolution,[],[f340,f23]) ).
fof(f377,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ defined(m)
| ~ defined(a)
| ~ defined(X1)
| ~ equalish(multiply(a,X1),multiplicative_identity)
| equalish(X0,m) ),
inference(superposition,[],[f350,f34]) ).
fof(f382,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ defined(a)
| ~ defined(X1)
| ~ equalish(multiply(a,X1),multiplicative_identity)
| equalish(X0,m) ),
inference(forward_subsumption_resolution,[],[f377,f29]) ).
fof(f384,plain,
! [X0,X1] :
( ~ equalish(multiply(a,X1),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(X0,multiply(sF0,X1))
| equalish(X0,m) ),
inference(forward_subsumption_resolution,[],[f382,f28]) ).
fof(f498,plain,
! [X0] :
( ~ defined(multiplicative_inverse(a))
| ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| equalish(X0,m)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(resolution,[],[f384,f7]) ).
fof(f505,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| equalish(X0,m)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f498,f15]) ).
fof(f508,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| equalish(X0,m)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f505,f28]) ).
fof(f509,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(a)))
| equalish(X0,m) ),
inference(forward_subsumption_resolution,[],[f508,f30]) ).
fof(f511,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),m)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X0,sF0) ),
inference(resolution,[],[f509,f25]) ).
fof(f549,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),m)
| ~ equalish(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f511,f250]) ).
fof(f555,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(X0,sF0)
| equalish(X1,m) ),
inference(resolution,[],[f549,f23]) ).
fof(f568,plain,
( ~ equalish(a,sF0)
| equalish(multiplicative_identity,m)
| equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f555,f60]) ).
fof(f569,plain,
( equalish(multiplicative_identity,m)
| equalish(a,additive_identity)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f568,f36]) ).
fof(f575,plain,
( equalish(multiplicative_identity,m)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f569,f30]) ).
fof(f577,plain,
equalish(multiplicative_identity,m),
inference(forward_subsumption_resolution,[],[f575,f28]) ).
fof(f662,plain,
equalish(m,multiplicative_identity),
inference(resolution,[],[f577,f22]) ).
fof(f663,plain,
$false,
inference(forward_subsumption_resolution,[],[f662,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD033-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n010.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Sep 29 00:32:02 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 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
% 7.25/1.56 % (2516030)Input is clausal, will run a generic CNF schedule.
% 7.25/1.56 % (2516041)dis-21_1_sil=8000:lcm=predicate:random_seed=2942348075: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)
% 7.25/1.56 % (2516039)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=61048667:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.25/1.56 % (2516036)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=287425217:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.25/1.56 % (2516040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2637049415:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.25/1.56 % (2516035)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=2515258032:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.25/1.56 % (2516037)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2588925323:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.25/1.56 % (2516038)lrs+10_1_sil=8000:sp=occurrence:random_seed=3571348975:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.25/1.56 % (2516041)Instruction limit reached!
% 7.25/1.56 % (2516041)------------------------------
% 7.25/1.56 % (2516041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516041)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516041)Termination reason: Instruction limit
% 7.25/1.56 % (2516041)Termination phase: Saturation
% 7.25/1.56 % (2516041)Time elapsed: 0.042 s
% 7.25/1.56 % (2516041)Peak memory usage: 90 MB
% 7.25/1.56 % (2516041)Instructions burned: 119 (million)
% 7.25/1.56 % (2516038)Instruction limit reached!
% 7.25/1.56 % (2516038)------------------------------
% 7.25/1.56 % (2516038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516038)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516038)Termination reason: Instruction limit
% 7.25/1.56 % (2516038)Termination phase: Saturation
% 7.25/1.56 % (2516038)Time elapsed: 0.068 s
% 7.25/1.56 % (2516038)Peak memory usage: 89 MB
% 7.25/1.56 % (2516038)Instructions burned: 107 (million)
% 7.25/1.56 % (2516039)Instruction limit reached!
% 7.25/1.56 % (2516039)------------------------------
% 7.25/1.56 % (2516039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516039)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516039)Termination reason: Instruction limit
% 7.25/1.56 % (2516039)Termination phase: Saturation
% 7.25/1.56 % (2516039)Time elapsed: 0.069 s
% 7.25/1.56 % (2516039)Peak memory usage: 88 MB
% 7.25/1.56 % (2516039)Instructions burned: 115 (million)
% 7.25/1.56 % (2516040)Instruction limit reached!
% 7.25/1.56 % (2516040)------------------------------
% 7.25/1.56 % (2516040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516040)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516040)Termination reason: Instruction limit
% 7.25/1.56 % (2516040)Termination phase: Saturation
% 7.25/1.56 % (2516040)Time elapsed: 0.120 s
% 7.25/1.56 % (2516040)Peak memory usage: 89 MB
% 7.25/1.56 % (2516040)Instructions burned: 181 (million)
% 7.25/1.56 % (2516049)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=387914176:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.25/1.56 % (2516049)Instruction limit reached!
% 7.25/1.56 % (2516049)------------------------------
% 7.25/1.56 % (2516049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516049)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516049)Termination reason: Instruction limit
% 7.25/1.56 % (2516049)Termination phase: Saturation
% 7.25/1.56 % (2516049)Time elapsed: 0.046 s
% 7.25/1.56 % (2516049)Peak memory usage: 89 MB
% 7.25/1.56 % (2516049)Instructions burned: 147 (million)
% 7.25/1.56 % (2516050)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2071324023: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)
% 7.25/1.56 % (2516051)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4188335157:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.25/1.56 % (2516052)lrs+10_64_to=lpo:sil=8000:random_seed=1567409825:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.25/1.56 % (2516054)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2617893787:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.25/1.56 % (2516050)Instruction limit reached!
% 7.25/1.56 % (2516050)------------------------------
% 7.25/1.56 % (2516050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516050)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516050)Termination reason: Instruction limit
% 7.25/1.56 % (2516050)Termination phase: Saturation
% 7.25/1.56 % (2516050)Time elapsed: 0.097 s
% 7.25/1.56 % (2516050)Peak memory usage: 94 MB
% 7.25/1.56 % (2516050)Instructions burned: 191 (million)
% 7.25/1.56 % (2516052)Instruction limit reached!
% 7.25/1.56 % (2516052)------------------------------
% 7.25/1.56 % (2516052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516052)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516052)Termination reason: Instruction limit
% 7.25/1.56 % (2516052)Termination phase: Saturation
% 7.25/1.56 % (2516052)Time elapsed: 0.079 s
% 7.25/1.56 % (2516052)Peak memory usage: 90 MB
% 7.25/1.56 % (2516052)Instructions burned: 126 (million)
% 7.25/1.56 % (2516051)Instruction limit reached!
% 7.25/1.56 % (2516051)------------------------------
% 7.25/1.56 % (2516051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516051)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516051)Termination reason: Instruction limit
% 7.25/1.56 % (2516051)Termination phase: Saturation
% 7.25/1.56 % (2516051)Time elapsed: 0.131 s
% 7.25/1.56 % (2516051)Peak memory usage: 89 MB
% 7.25/1.56 % (2516051)Instructions burned: 219 (million)
% 7.25/1.56 % (2516054)Instruction limit reached!
% 7.25/1.56 % (2516054)------------------------------
% 7.25/1.56 % (2516054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516054)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516054)Termination reason: Instruction limit
% 7.25/1.56 % (2516054)Termination phase: Saturation
% 7.25/1.56 % (2516054)Time elapsed: 0.068 s
% 7.25/1.56 % (2516054)Peak memory usage: 90 MB
% 7.25/1.56 % (2516054)Instructions burned: 197 (million)
% 7.25/1.56 % (2516060)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3925851060:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.25/1.56 % (2516059)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3554395510:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.25/1.56 % (2516062)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1365260370:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 7.25/1.56 % (2516061)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=1496796555:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.25/1.56 % (2516062)Instruction limit reached!
% 7.25/1.56 % (2516062)------------------------------
% 7.25/1.56 % (2516062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516062)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516062)Termination reason: Instruction limit
% 7.25/1.56 % (2516062)Termination phase: Saturation
% 7.25/1.56 % (2516062)Time elapsed: 0.036 s
% 7.25/1.56 % (2516062)Peak memory usage: 89 MB
% 7.25/1.56 % (2516062)Instructions burned: 108 (million)
% 7.25/1.56 % (2516061)Instruction limit reached!
% 7.25/1.56 % (2516061)------------------------------
% 7.25/1.56 % (2516061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516061)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516061)Termination reason: Instruction limit
% 7.25/1.56 % (2516061)Termination phase: Saturation
% 7.25/1.56 % (2516061)Time elapsed: 0.053 s
% 7.25/1.56 % (2516061)Peak memory usage: 90 MB
% 7.25/1.56 % (2516061)Instructions burned: 106 (million)
% 7.25/1.56 % (2516059)Instruction limit reached!
% 7.25/1.56 % (2516059)------------------------------
% 7.25/1.56 % (2516059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516059)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516059)Termination reason: Instruction limit
% 7.25/1.56 % (2516059)Termination phase: Saturation
% 7.25/1.56 % (2516059)Time elapsed: 0.114 s
% 7.25/1.56 % (2516059)Peak memory usage: 90 MB
% 7.25/1.56 % (2516059)Instructions burned: 157 (million)
% 7.25/1.56 % (2516067)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1953858692:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.25/1.56 % (2516035)First to succeed.
% 7.25/1.56 % (2516068)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2467610124:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.25/1.56 % (2516035)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2516030"
% 7.25/1.56 % (2516037)Also succeeded, but the first one will report.
% 7.25/1.56 % (2516067)Instruction limit reached!
% 7.25/1.56 % (2516067)------------------------------
% 7.25/1.56 % (2516067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516067)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516067)Termination reason: Instruction limit
% 7.25/1.56 % (2516067)Termination phase: Saturation
% 7.25/1.56 % (2516067)Time elapsed: 0.091 s
% 7.25/1.56 % (2516067)Peak memory usage: 89 MB
% 7.25/1.56 % (2516067)Instructions burned: 243 (million)
% 7.25/1.56 % (2516069)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3520557841:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.25/1.56 % (2516069)Instruction limit reached!
% 7.25/1.56 % (2516069)------------------------------
% 7.25/1.56 % (2516069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.56 % (2516069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.56 % (2516069)CaDiCaL version: 2.1.3
% 7.25/1.56 % (2516069)Termination reason: Instruction limit
% 7.25/1.56 % (2516069)Termination phase: Saturation
% 7.25/1.56 % (2516069)Time elapsed: 0.091 s
% 7.25/1.56 % (2516069)Peak memory usage: 90 MB
% 7.25/1.56 % (2516069)Instructions burned: 134 (million)
% 7.25/1.56 % (2516073)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1804128009:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.25/1.56 % (2516035)Refutation found. Thanks to Tanya!
% 7.25/1.56 % SZS status Unsatisfiable for theBenchmark
% 7.25/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 8.39/1.75 % (2516035)------------------------------
% 8.39/1.75 % (2516035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/1.75 % (2516035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.75 % (2516035)CaDiCaL version: 2.1.3
% 8.39/1.75 % (2516035)Termination reason: Refutation
% 8.39/1.75 % (2516035)Time elapsed: 0.706 s
% 8.39/1.75 % (2516035)Peak memory usage: 128 MB
% 8.39/1.75 % (2516035)Instructions burned: 1059 (million)
% 8.39/1.75 % (2516035)------------------------------
% 8.39/1.75 % (2516035)------------------------------
% 8.39/1.75 % (2516030)Success in time 1.128 s
% 8.39/1.75 % Vampire exiting
%------------------------------------------------------------------------------