%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE015+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 11:40:38 AM UTC 2026
% Result : Theorem 20.92s 5.93s
% Output : Refutation 20.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 76 ( 52 unt; 5 def)
% Number of atoms : 131 ( 74 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 89 ( 34 ~; 28 |; 20 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 78 ( 71 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1] :
( zero != multiplication(multiplication(addition(X0,X1),c(X0)),c(X1))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( zero != multiplication(multiplication(addition(X0,X1),c(X0)),c(X1))
& test(X1)
& test(X0) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
( zero != multiplication(multiplication(addition(sK1,sK2),c(sK1)),c(sK2))
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
zero != multiplication(multiplication(addition(sK1,sK2),c(sK1)),c(sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f54,definition,
sF3 = addition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f55,plain,
addition(sK1,sK2) = sF3,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF4 = c(sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f57,plain,
c(sK1) = sF4,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF5 = multiplication(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f59,plain,
multiplication(sF3,sF4) = sF5,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF6 = c(sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f61,plain,
c(sK2) = sF6,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF7 = multiplication(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f63,plain,
multiplication(sF5,sF6) = sF7,
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
zero != sF7,
inference(definition_folding,[],[f52,f63,f61,f59,f57,f55]) ).
fof(f67,plain,
( complement(sK1,sF4)
| ~ test(sK1) ),
inference(superposition,[],[f53,f57]) ).
fof(f68,plain,
( complement(sK2,sF6)
| ~ test(sK2) ),
inference(superposition,[],[f53,f61]) ).
fof(f69,plain,
complement(sK2,sF6),
inference(forward_subsumption_resolution,[],[f68,f51]) ).
fof(f70,plain,
complement(sK1,sF4),
inference(forward_subsumption_resolution,[],[f67,f50]) ).
fof(f75,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f32,f30]) ).
fof(f76,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f43,f41]) ).
fof(f82,plain,
test(sF4),
inference(resolution,[],[f70,f42]) ).
fof(f86,plain,
zero = multiplication(sK1,sF4),
inference(resolution,[],[f44,f70]) ).
fof(f87,plain,
zero = multiplication(sK2,sF6),
inference(resolution,[],[f44,f69]) ).
fof(f98,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f136,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f37,f35]) ).
fof(f193,plain,
! [X0] : multiplication(addition(sK1,X0),sF4) = addition(zero,multiplication(X0,sF4)),
inference(superposition,[],[f38,f86]) ).
fof(f194,plain,
! [X0] : multiplication(addition(sK2,X0),sF6) = addition(zero,multiplication(X0,sF6)),
inference(superposition,[],[f38,f87]) ).
fof(f229,plain,
! [X0] : multiplication(addition(sK2,X0),sF6) = multiplication(X0,sF6),
inference(forward_demodulation,[],[f194,f75]) ).
fof(f230,plain,
! [X0] : multiplication(addition(sK1,X0),sF4) = multiplication(X0,sF4),
inference(forward_demodulation,[],[f193,f75]) ).
fof(f323,plain,
one = addition(sF4,sK0(sF4)),
inference(resolution,[],[f76,f82]) ).
fof(f427,plain,
one = addition(sF4,one),
inference(superposition,[],[f98,f323]) ).
fof(f434,plain,
one = addition(one,sF4),
inference(forward_demodulation,[],[f427,f30]) ).
fof(f36443,plain,
multiplication(sF3,sF4) = multiplication(sK2,sF4),
inference(superposition,[],[f230,f55]) ).
fof(f36560,plain,
sF5 = multiplication(sK2,sF4),
inference(forward_demodulation,[],[f36443,f59]) ).
fof(f37544,plain,
addition(sK2,sF5) = multiplication(sK2,addition(one,sF4)),
inference(superposition,[],[f136,f36560]) ).
fof(f37571,plain,
multiplication(sK2,one) = addition(sK2,sF5),
inference(forward_demodulation,[],[f37544,f434]) ).
fof(f37583,plain,
sK2 = addition(sK2,sF5),
inference(forward_demodulation,[],[f37571,f35]) ).
fof(f39970,plain,
multiplication(sF5,sF6) = multiplication(sK2,sF6),
inference(superposition,[],[f229,f37583]) ).
fof(f40036,plain,
zero = multiplication(sF5,sF6),
inference(forward_demodulation,[],[f39970,f87]) ).
fof(f40773,plain,
zero = sF7,
inference(superposition,[],[f63,f40036]) ).
fof(f40842,plain,
$false,
inference(forward_subsumption_resolution,[],[f40773,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE015+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 12:55:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.84/2.52 % (2529595)Will run a generic schedule for satisfiability detection.
% 14.84/2.52 % (2529604)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1448827075:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.84/2.52 % (2529600)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=349546025_2999 on theBenchmark for (2999ds/0Mi)
% 14.84/2.52 % (2529606)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=52043246:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.84/2.52 % (2529602)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=834411159:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.84/2.52 % (2529603)dis+10_1_sil=32000:sp=arity:random_seed=313494843:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.84/2.52 % (2529605)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3530058543:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.84/2.52 % (2529601)% WARNING: option uhcvi not known.
% 14.84/2.52 % TRYING [1]
% 14.84/2.52 % TRYING [2]
% 14.84/2.52 % TRYING [3]
% 14.84/2.52 % (2529601)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2052523027:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.84/2.52 % TRYING [4]
% 14.84/2.52 % TRYING [5]
% 14.84/2.52 % (2529604)Instruction limit reached!
% 14.84/2.52 % (2529604)------------------------------
% 14.84/2.52 % (2529604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.52 % (2529604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.52 % (2529604)CaDiCaL version: 2.1.3
% 14.84/2.52 % (2529604)Termination reason: Instruction limit
% 14.84/2.52 % (2529604)Termination phase: Saturation
% 14.84/2.52 % (2529604)Time elapsed: 0.037 s
% 14.84/2.52 % (2529604)Peak memory usage: 13 MB
% 14.84/2.52 % (2529604)Instructions burned: 117 (million)
% 14.84/2.52 % (2529614)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1205773443:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.84/2.52 % TRYING [1]
% 14.84/2.52 % TRYING [2]
% 14.84/2.52 % TRYING [3]
% 14.84/2.52 % TRYING [4]
% 14.84/2.52 % (2529603)Instruction limit reached!
% 14.84/2.52 % (2529603)------------------------------
% 14.84/2.52 % (2529603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.52 % (2529603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.52 % (2529603)CaDiCaL version: 2.1.3
% 14.84/2.52 % (2529603)Termination reason: Instruction limit
% 14.84/2.52 % (2529603)Termination phase: Saturation
% 14.84/2.52 % (2529603)Time elapsed: 0.062 s
% 14.84/2.52 % (2529603)Peak memory usage: 13 MB
% 14.84/2.52 % (2529603)Instructions burned: 103 (million)
% 14.84/2.52 % TRYING [6]
% 14.84/2.52 % (2529605)Instruction limit reached!
% 14.84/2.52 % (2529605)------------------------------
% 14.84/2.52 % (2529605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.52 % (2529605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.52 % (2529605)CaDiCaL version: 2.1.3
% 14.84/2.52 % (2529605)Termination reason: Instruction limit
% 14.84/2.52 % (2529605)Termination phase: Saturation
% 14.84/2.52 % (2529605)Time elapsed: 0.073 s
% 14.84/2.52 % (2529605)Peak memory usage: 13 MB
% 14.84/2.52 % (2529605)Instructions burned: 132 (million)
% 14.84/2.52 % TRYING [5]
% 14.84/2.52 % (2529616)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3813608699:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.84/2.52 % (2529617)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=672385793:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.84/2.52 % (2529606)Instruction limit reached!
% 14.84/2.52 % (2529606)------------------------------
% 14.84/2.52 % (2529606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.52 % (2529606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.52 % (2529606)CaDiCaL version: 2.1.3
% 14.84/2.52 % (2529606)Termination reason: Instruction limit
% 14.84/2.52 % (2529606)Termination phase: Saturation
% 14.84/2.52 % (2529606)Time elapsed: 0.102 s
% 14.84/2.52 % (2529606)Peak memory usage: 13 MB
% 14.84/2.52 % (2529606)Instructions burned: 161 (million)
% 14.84/2.52 % TRYING [6]
% 14.84/2.52 % (2529620)ott-21_1_sil=16000:fs=off:random_seed=255253706:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.84/2.52 % (2529616)Instruction limit reached!
% 14.84/2.52 % (2529616)------------------------------
% 14.84/2.52 % (2529616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.81/5.88 % (2529616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.81/5.88 % (2529616)CaDiCaL version: 2.1.3
% 37.81/5.88 % (2529616)Termination reason: Instruction limit
% 37.81/5.88 % (2529616)Termination phase: Saturation
% 37.81/5.88 % (2529616)Time elapsed: 0.085 s
% 37.81/5.88 % (2529616)Peak memory usage: 13 MB
% 37.81/5.88 % (2529616)Instructions burned: 132 (million)
% 37.81/5.88 % TRYING [7]
% 37.81/5.88 % (2529622)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=82742074:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 37.81/5.88 % TRYING [7]
% 37.81/5.88 % (2529620)Instruction limit reached!
% 37.81/5.88 % (2529620)------------------------------
% 37.81/5.88 % (2529620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.81/5.88 % (2529620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.81/5.88 % (2529620)CaDiCaL version: 2.1.3
% 37.81/5.88 % (2529620)Termination reason: Instruction limit
% 37.81/5.88 % (2529620)Termination phase: Saturation
% 37.81/5.88 % (2529620)Time elapsed: 0.077 s
% 37.81/5.88 % (2529620)Peak memory usage: 12 MB
% 37.81/5.88 % (2529620)Instructions burned: 181 (million)
% 37.81/5.88 % (2529624)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3092184879:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.81/5.88 % TRYING [1]
% 37.81/5.88 % TRYING [2]
% 37.81/5.88 % TRYING [3]
% 37.81/5.88 % (2529614)Instruction limit reached!
% 37.81/5.88 % (2529614)------------------------------
% 37.81/5.88 % (2529614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.81/5.88 % (2529614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.81/5.88 % (2529614)CaDiCaL version: 2.1.3
% 37.81/5.88 % (2529614)Termination reason: Instruction limit
% 37.81/5.88 % (2529614)Termination phase: Finite model building constraint generation
% 37.81/5.88 % (2529614)Time elapsed: 0.176 s
% 37.81/5.88 % (2529614)Peak memory usage: 30 MB
% 37.81/5.88 % (2529614)Instructions burned: 716 (million)
% 37.81/5.88 % TRYING [4]
% 37.81/5.88 % (2529626)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4166299872:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 37.81/5.88 % TRYING [5]
% 37.81/5.88 % TRYING [6]
% 37.81/5.88 % (2529617)Instruction limit reached!
% 37.81/5.88 % (2529617)------------------------------
% 37.81/5.88 % (2529617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.81/5.88 % (2529617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.81/5.88 % (2529617)CaDiCaL version: 2.1.3
% 37.81/5.88 % (2529617)Termination reason: Instruction limit
% 37.81/5.88 % (2529617)Termination phase: Saturation
% 37.81/5.88 % (2529617)Time elapsed: 0.352 s
% 37.81/5.88 % (2529617)Peak memory usage: 18 MB
% 37.81/5.88 % (2529617)Instructions burned: 686 (million)
% 37.81/5.88 % (2529622)Instruction limit reached!
% 37.81/5.88 % (2529622)------------------------------
% 37.81/5.88 % (2529622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.81/5.88 % (2529622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.81/5.88 % (2529622)CaDiCaL version: 2.1.3
% 37.81/5.88 % (2529622)Termination reason: Instruction limit
% 37.81/5.88 % (2529622)Termination phase: Saturation
% 37.81/5.88 % (2529622)Time elapsed: 0.265 s
% 37.81/5.88 % (2529622)Peak memory usage: 16 MB
% 37.81/5.88 % (2529622)Instructions burned: 477 (million)
% 37.81/5.88 % (2529628)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1348846446:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 37.81/5.88 % (2529629)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3851215604:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 37.81/5.88 % TRYING [8]
% 37.81/5.88 % (2529624)Instruction limit reached!
% 37.81/5.88 % (2529624)------------------------------
% 37.81/5.88 % (2529624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.81/5.88 % (2529624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.81/5.88 % (2529624)CaDiCaL version: 2.1.3
% 37.81/5.88 % (2529624)Termination reason: Instruction limit
% 37.81/5.88 % (2529624)Termination phase: Finite model building SAT solving
% 37.81/5.88 % (2529624)Time elapsed: 0.331 s
% 37.81/5.88 % (2529624)Peak memory usage: 24 MB
% 37.81/5.88 % (2529624)Instructions burned: 867 (million)
% 37.81/5.88 % (2529626)Instruction limit reached!
% 37.81/5.88 % (2529626)------------------------------
% 37.81/5.88 % (2529626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529626)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529626)Termination reason: Instruction limit
% 20.92/5.92 % (2529626)Termination phase: Saturation
% 20.92/5.92 % (2529626)Time elapsed: 0.332 s
% 20.92/5.92 % (2529626)Peak memory usage: 17 MB
% 20.92/5.92 % (2529626)Instructions burned: 1181 (million)
% 20.92/5.92 % (2529632)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1250172750:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 20.92/5.92 % (2529634)fmb+10_1_sil=64000:random_seed=2496780576:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 20.92/5.92 % TRYING [1]
% 20.92/5.92 % TRYING [2]
% 20.92/5.92 % TRYING [3]
% 20.92/5.92 % TRYING [14]
% 20.92/5.92 % TRYING [4]
% 20.92/5.92 % TRYING [5]
% 20.92/5.92 % TRYING [6]
% 20.92/5.92 % TRYING [7]
% 20.92/5.92 % (2529628)Instruction limit reached!
% 20.92/5.92 % (2529628)------------------------------
% 20.92/5.92 % (2529628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529628)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529628)Termination reason: Instruction limit
% 20.92/5.92 % (2529628)Termination phase: Finite model building constraint generation
% 20.92/5.92 % (2529628)Time elapsed: 0.337 s
% 20.92/5.92 % (2529628)Peak memory usage: 81 MB
% 20.92/5.92 % (2529628)Instructions burned: 889 (million)
% 20.92/5.92 % (2529636)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2619734795:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 20.92/5.92 % TRYING [20]
% 20.92/5.92 % (2529629)Instruction limit reached!
% 20.92/5.92 % (2529629)------------------------------
% 20.92/5.92 % (2529629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529629)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529629)Termination reason: Instruction limit
% 20.92/5.92 % (2529629)Termination phase: Saturation
% 20.92/5.92 % (2529629)Time elapsed: 0.389 s
% 20.92/5.92 % (2529629)Peak memory usage: 20 MB
% 20.92/5.92 % (2529629)Instructions burned: 693 (million)
% 20.92/5.92 % (2529638)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=126525017:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 20.92/5.92 % TRYING [8]
% 20.92/5.92 % TRYING [9]
% 20.92/5.92 % (2529632)Instruction limit reached!
% 20.92/5.92 % (2529632)------------------------------
% 20.92/5.92 % (2529632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529632)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529632)Termination reason: Instruction limit
% 20.92/5.92 % (2529632)Termination phase: Saturation
% 20.92/5.92 % (2529632)Time elapsed: 0.490 s
% 20.92/5.92 % (2529632)Peak memory usage: 19 MB
% 20.92/5.92 % (2529632)Instructions burned: 879 (million)
% 20.92/5.92 % TRYING [8]
% 20.92/5.92 % (2529640)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2937977095:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 20.92/5.92 % (2529638)Instruction limit reached!
% 20.92/5.92 % (2529638)------------------------------
% 20.92/5.92 % (2529638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529638)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529638)Termination reason: Instruction limit
% 20.92/5.92 % (2529638)Termination phase: Finite model building constraint generation
% 20.92/5.92 % (2529638)Time elapsed: 0.352 s
% 20.92/5.92 % (2529638)Peak memory usage: 65 MB
% 20.92/5.92 % (2529638)Instructions burned: 922 (million)
% 20.92/5.92 % (2529642)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1522336838:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 20.92/5.92 % TRYING [9]
% 20.92/5.92 % (2529642)Instruction limit reached!
% 20.92/5.92 % (2529642)------------------------------
% 20.92/5.92 % (2529642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529642)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529642)Termination reason: Instruction limit
% 20.92/5.92 % (2529642)Termination phase: Saturation
% 20.92/5.92 % (2529642)Time elapsed: 0.794 s
% 20.92/5.92 % (2529642)Peak memory usage: 31 MB
% 20.92/5.92 % (2529642)Instructions burned: 1472 (million)
% 20.92/5.92 % (2529644)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3679143254:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 20.92/5.92 % TRYING [77]
% 20.92/5.92 % TRYING [10]
% 20.92/5.92 % TRYING [10]
% 20.92/5.92 % (2529640)Instruction limit reached!
% 20.92/5.92 % (2529640)------------------------------
% 20.92/5.92 % (2529640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529640)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529640)Termination reason: Instruction limit
% 20.92/5.92 % (2529640)Termination phase: Saturation
% 20.92/5.92 % (2529640)Time elapsed: 2.683 s
% 20.92/5.92 % (2529640)Peak memory usage: 47 MB
% 20.92/5.92 % (2529640)Instructions burned: 5132 (million)
% 20.92/5.92 % (2529646)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1075002320:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 20.92/5.92 % TRYING [16]
% 20.92/5.92 % (2529636)Instruction limit reached!
% 20.92/5.92 % (2529636)------------------------------
% 20.92/5.92 % (2529636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529636)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529636)Termination reason: Instruction limit
% 20.92/5.92 % (2529636)Termination phase: Finite model building constraint generation
% 20.92/5.92 % (2529636)Time elapsed: 3.472 s
% 20.92/5.92 % (2529636)Peak memory usage: 666 MB
% 20.92/5.92 % (2529636)Instructions burned: 9517 (million)
% 20.92/5.92 % (2529648)ott-2_1_sil=16000:newcnf=on:random_seed=319650422:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 20.92/5.92 % (2529644)Instruction limit reached!
% 20.92/5.92 % (2529644)------------------------------
% 20.92/5.92 % (2529644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529644)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529644)Termination reason: Instruction limit
% 20.92/5.92 % (2529644)Termination phase: Finite model building constraint generation
% 20.92/5.92 % (2529644)Time elapsed: 2.359 s
% 20.92/5.92 % (2529644)Peak memory usage: 472 MB
% 20.92/5.92 % (2529644)Instructions burned: 6324 (million)
% 20.92/5.92 % (2529650)ott+10_1_sil=32000:tgt=ground:random_seed=195580469:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 20.92/5.92 % (2529646)Instruction limit reached!
% 20.92/5.92 % (2529646)------------------------------
% 20.92/5.92 % (2529646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529646)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529646)Termination reason: Instruction limit
% 20.92/5.92 % (2529646)Termination phase: Finite model building constraint generation
% 20.92/5.92 % (2529646)Time elapsed: 0.735 s
% 20.92/5.92 % (2529646)Peak memory usage: 133 MB
% 20.92/5.92 % (2529646)Instructions burned: 2175 (million)
% 20.92/5.92 % (2529652)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1927433335:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 20.92/5.92 % TRYING [1]
% 20.92/5.92 % TRYING [2]
% 20.92/5.92 % TRYING [3]
% 20.92/5.92 % TRYING [4]
% 20.92/5.92 % TRYING [5]
% 20.92/5.92 % TRYING [6]
% 20.92/5.92 % TRYING [7]
% 20.92/5.92 % (2529648)Instruction limit reached!
% 20.92/5.92 % (2529648)------------------------------
% 20.92/5.92 % (2529648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529648)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529648)Termination reason: Instruction limit
% 20.92/5.92 % (2529648)Termination phase: Saturation
% 20.92/5.92 % (2529648)Time elapsed: 0.505 s
% 20.92/5.92 % (2529648)Peak memory usage: 17 MB
% 20.92/5.92 % (2529648)Instructions burned: 870 (million)
% 20.92/5.92 % (2529654)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3036598354:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 20.92/5.92 % TRYING [8]
% 20.92/5.92 % (2529634)Instruction limit reached!
% 20.92/5.92 % (2529634)------------------------------
% 20.92/5.92 % (2529634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.92 % (2529634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.92 % (2529634)CaDiCaL version: 2.1.3
% 20.92/5.92 % (2529634)Termination reason: Instruction limit
% 20.92/5.92 % (2529634)Termination phase: Finite model building SAT solving
% 20.92/5.92 % (2529634)Time elapsed: 4.857 s
% 20.92/5.93 % (2529634)Peak memory usage: 182 MB
% 20.92/5.93 % (2529634)Instructions burned: 22063 (million)
% 20.92/5.93 % (2529650) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2529595-2529650"...
% 20.92/5.93 % (2529650)...printing done.
% 20.92/5.93 % (2529650)Refutation found. Thanks to Tanya!
% 20.92/5.93 % SZS status Theorem for theBenchmark
% 20.92/5.93 % SZS output start Proof for theBenchmark
% See solution above
% 20.92/5.93 % (2529650)------------------------------
% 20.92/5.93 % (2529650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.92/5.93 % (2529650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.92/5.93 % (2529650)CaDiCaL version: 2.1.3
% 20.92/5.93 % (2529650)Termination reason: Refutation
% 20.92/5.93 % (2529650)Time elapsed: 0.930 s
% 20.92/5.93 % (2529650)Peak memory usage: 24 MB
% 20.92/5.93 % (2529650)Instructions burned: 1679 (million)
% 20.92/5.93 % (2529595)Success in time 5.519 s
% 20.92/5.93 % Vampire exiting
%------------------------------------------------------------------------------