%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE013+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 : n014.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 33.85s 5.29s
% Output : Refutation 33.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 94 ( 71 unt; 5 def)
% Number of atoms : 148 ( 92 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 87 ( 33 ~; 27 |; 20 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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(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(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_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) )
=> one = addition(addition(X0,X1),multiplication(c(X0),c(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(X0,X1),multiplication(c(X0),c(X1))) ),
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] :
( one != addition(addition(X0,X1),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( one != addition(addition(X0,X1),multiplication(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,
( one != addition(addition(sK1,sK2),multiplication(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(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
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(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,
one != addition(addition(sK1,sK2),multiplication(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 = c(sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f59,plain,
c(sK2) = sF5,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF6 = multiplication(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f61,plain,
multiplication(sF4,sF5) = sF6,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF7 = addition(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f63,plain,
addition(sF3,sF6) = sF7,
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
one != 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,sF5)
| ~ test(sK2) ),
inference(superposition,[],[f53,f59]) ).
fof(f69,plain,
complement(sK2,sF5),
inference(forward_subsumption_resolution,[],[f68,f51]) ).
fof(f70,plain,
complement(sK1,sF4),
inference(forward_subsumption_resolution,[],[f67,f50]) ).
fof(f76,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f43,f41]) ).
fof(f78,plain,
one = addition(sF5,sK2),
inference(resolution,[],[f43,f69]) ).
fof(f79,plain,
one = addition(sK2,sF5),
inference(forward_demodulation,[],[f78,f30]) ).
fof(f81,plain,
one = addition(sF4,sK1),
inference(resolution,[],[f70,f43]) ).
fof(f82,plain,
test(sF4),
inference(resolution,[],[f70,f42]) ).
fof(f83,plain,
one = addition(sK1,sF4),
inference(forward_demodulation,[],[f81,f30]) ).
fof(f98,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f102,plain,
! [X0] : addition(sK1,addition(sK2,X0)) = addition(sF3,X0),
inference(superposition,[],[f31,f55]) ).
fof(f103,plain,
! [X0] : addition(sK1,addition(sF4,X0)) = addition(one,X0),
inference(superposition,[],[f31,f83]) ).
fof(f105,plain,
! [X0] : addition(sF3,addition(sF6,X0)) = addition(sF7,X0),
inference(superposition,[],[f31,f63]) ).
fof(f143,plain,
! [X0] : multiplication(sF4,addition(sF5,X0)) = addition(sF6,multiplication(sF4,X0)),
inference(superposition,[],[f37,f61]) ).
fof(f189,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f38,f36]) ).
fof(f315,plain,
one = addition(sK1,sK0(sK1)),
inference(resolution,[],[f76,f50]) ).
fof(f316,plain,
one = addition(sK2,sK0(sK2)),
inference(resolution,[],[f76,f51]) ).
fof(f317,plain,
one = addition(sF4,sK0(sF4)),
inference(resolution,[],[f76,f82]) ).
fof(f430,plain,
one = addition(sK1,one),
inference(superposition,[],[f98,f315]) ).
fof(f432,plain,
one = addition(sK2,one),
inference(superposition,[],[f98,f316]) ).
fof(f440,plain,
one = addition(one,sK2),
inference(forward_demodulation,[],[f432,f30]) ).
fof(f442,plain,
one = addition(one,sK1),
inference(forward_demodulation,[],[f430,f30]) ).
fof(f455,plain,
addition(sK1,one) = addition(sF3,sF5),
inference(superposition,[],[f102,f79]) ).
fof(f459,plain,
! [X0] : addition(sF3,X0) = addition(sK1,addition(X0,sK2)),
inference(superposition,[],[f102,f30]) ).
fof(f469,plain,
addition(one,sK1) = addition(sF3,sF5),
inference(forward_demodulation,[],[f455,f30]) ).
fof(f474,plain,
one = addition(sF3,sF5),
inference(forward_demodulation,[],[f469,f442]) ).
fof(f493,plain,
! [X0] : addition(sF7,X0) = addition(sF3,addition(X0,sF6)),
inference(superposition,[],[f105,f30]) ).
fof(f1025,plain,
! [X0] : addition(sF7,multiplication(sF4,X0)) = addition(sF3,multiplication(sF4,addition(sF5,X0))),
inference(superposition,[],[f105,f143]) ).
fof(f1207,plain,
multiplication(addition(one,sF4),sF5) = addition(sF5,sF6),
inference(superposition,[],[f189,f61]) ).
fof(f1276,plain,
one = addition(sF4,one),
inference(superposition,[],[f98,f317]) ).
fof(f1284,plain,
one = addition(one,sF4),
inference(forward_demodulation,[],[f1276,f30]) ).
fof(f5660,plain,
addition(sF5,sF6) = multiplication(one,sF5),
inference(superposition,[],[f1207,f1284]) ).
fof(f5710,plain,
sF5 = addition(sF5,sF6),
inference(forward_demodulation,[],[f5660,f36]) ).
fof(f5931,plain,
addition(sF3,sF5) = addition(sF7,sF5),
inference(superposition,[],[f493,f5710]) ).
fof(f5945,plain,
addition(sF3,sF5) = addition(sF5,sF7),
inference(forward_demodulation,[],[f5931,f30]) ).
fof(f5947,plain,
one = addition(sF5,sF7),
inference(forward_demodulation,[],[f5945,f474]) ).
fof(f8540,plain,
addition(one,sK2) = addition(sF3,sF4),
inference(superposition,[],[f459,f103]) ).
fof(f8581,plain,
one = addition(sF3,sF4),
inference(forward_demodulation,[],[f8540,f440]) ).
fof(f17900,plain,
addition(sF3,multiplication(sF4,one)) = addition(sF7,multiplication(sF4,sF7)),
inference(superposition,[],[f1025,f5947]) ).
fof(f17988,plain,
addition(sF3,multiplication(sF4,one)) = multiplication(addition(one,sF4),sF7),
inference(forward_demodulation,[],[f17900,f189]) ).
fof(f18018,plain,
multiplication(one,sF7) = addition(sF3,multiplication(sF4,one)),
inference(forward_demodulation,[],[f17988,f1284]) ).
fof(f18034,plain,
addition(sF3,sF4) = multiplication(one,sF7),
inference(forward_demodulation,[],[f18018,f35]) ).
fof(f18041,plain,
sF7 = addition(sF3,sF4),
inference(forward_demodulation,[],[f18034,f36]) ).
fof(f18043,plain,
one = sF7,
inference(forward_demodulation,[],[f18041,f8581]) ).
fof(f18045,plain,
$false,
inference(forward_subsumption_resolution,[],[f18043,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE013+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 12:58:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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
% 26.29/4.14 % (798227)Will run a generic schedule for satisfiability detection.
% 26.29/4.14 % (798235)dis+10_1_sil=32000:sp=arity:random_seed=545816360:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.29/4.14 % (798233)% WARNING: option uhcvi not known.
% 26.29/4.14 % (798232)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2133155059_2999 on theBenchmark for (2999ds/0Mi)
% 26.29/4.14 % (798234)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3203777017:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.29/4.14 % (798237)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3960155292:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.29/4.14 % (798236)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3989599681:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.29/4.14 % (798238)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1113353440:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.29/4.14 % (798233)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1066690838:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.29/4.14 % TRYING [1]
% 26.29/4.14 % TRYING [2]
% 26.29/4.14 % TRYING [3]
% 26.29/4.14 % TRYING [4]
% 26.29/4.14 % TRYING [5]
% 26.29/4.14 % (798235)Instruction limit reached!
% 26.29/4.14 % (798235)------------------------------
% 26.29/4.14 % (798235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.14 % (798235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.14 % (798235)CaDiCaL version: 2.1.3
% 26.29/4.14 % (798235)Termination reason: Instruction limit
% 26.29/4.14 % (798235)Termination phase: Saturation
% 26.29/4.14 % (798235)Time elapsed: 0.034 s
% 26.29/4.14 % (798235)Peak memory usage: 13 MB
% 26.29/4.14 % (798235)Instructions burned: 105 (million)
% 26.29/4.14 % (798246)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2004569818:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.29/4.14 % TRYING [1]
% 26.29/4.14 % TRYING [2]
% 26.29/4.14 % TRYING [3]
% 26.29/4.14 % TRYING [4]
% 26.29/4.14 % TRYING [5]
% 26.29/4.14 % (798236)Instruction limit reached!
% 26.29/4.14 % (798236)------------------------------
% 26.29/4.14 % (798236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.14 % (798236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.14 % (798236)CaDiCaL version: 2.1.3
% 26.29/4.14 % (798236)Termination reason: Instruction limit
% 26.29/4.14 % (798236)Termination phase: Saturation
% 26.29/4.14 % (798236)Time elapsed: 0.068 s
% 26.29/4.14 % (798236)Peak memory usage: 13 MB
% 26.29/4.14 % (798236)Instructions burned: 116 (million)
% 26.29/4.14 % TRYING [6]
% 26.29/4.14 % (798237)Instruction limit reached!
% 26.29/4.14 % (798237)------------------------------
% 26.29/4.14 % (798237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.14 % (798237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.14 % (798237)CaDiCaL version: 2.1.3
% 26.29/4.14 % (798237)Termination reason: Instruction limit
% 26.29/4.14 % (798237)Termination phase: Saturation
% 26.29/4.14 % (798237)Time elapsed: 0.073 s
% 26.29/4.14 % (798237)Peak memory usage: 13 MB
% 26.29/4.14 % (798237)Instructions burned: 131 (million)
% 26.29/4.14 % TRYING [6]
% 26.29/4.14 % (798248)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=326776457:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 26.29/4.14 % (798249)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=3671666580:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.29/4.14 % (798238)Instruction limit reached!
% 26.29/4.14 % (798238)------------------------------
% 26.29/4.14 % (798238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.14 % (798238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.14 % (798238)CaDiCaL version: 2.1.3
% 26.29/4.14 % (798238)Termination reason: Instruction limit
% 26.29/4.14 % (798238)Termination phase: Saturation
% 26.29/4.14 % (798238)Time elapsed: 0.099 s
% 26.29/4.14 % (798238)Peak memory usage: 13 MB
% 26.29/4.14 % (798238)Instructions burned: 160 (million)
% 26.29/4.14 % (798252)ott-21_1_sil=16000:fs=off:random_seed=2106441916:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.29/4.14 % TRYING [7]
% 26.29/4.14 % (798248)Instruction limit reached!
% 26.29/4.14 % (798248)------------------------------
% 26.29/4.14 % (798248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798248)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798248)Termination reason: Instruction limit
% 33.85/5.29 % (798248)Termination phase: Saturation
% 33.85/5.29 % (798248)Time elapsed: 0.084 s
% 33.85/5.29 % (798248)Peak memory usage: 13 MB
% 33.85/5.29 % (798248)Instructions burned: 132 (million)
% 33.85/5.29 % TRYING [7]
% 33.85/5.29 % (798246)Instruction limit reached!
% 33.85/5.29 % (798246)------------------------------
% 33.85/5.29 % (798246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798246)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798246)Termination reason: Instruction limit
% 33.85/5.29 % (798246)Termination phase: Finite model building constraint generation
% 33.85/5.29 % (798246)Time elapsed: 0.150 s
% 33.85/5.29 % (798246)Peak memory usage: 29 MB
% 33.85/5.29 % (798246)Instructions burned: 719 (million)
% 33.85/5.29 % (798254)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3058744128:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 33.85/5.29 % (798252)Instruction limit reached!
% 33.85/5.29 % (798252)------------------------------
% 33.85/5.29 % (798252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798252)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798252)Termination reason: Instruction limit
% 33.85/5.29 % (798252)Termination phase: Saturation
% 33.85/5.29 % (798252)Time elapsed: 0.079 s
% 33.85/5.29 % (798252)Peak memory usage: 12 MB
% 33.85/5.29 % (798252)Instructions burned: 181 (million)
% 33.85/5.29 % (798255)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3028372491:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.85/5.29 % TRYING [1]
% 33.85/5.29 % TRYING [2]
% 33.85/5.29 % TRYING [3]
% 33.85/5.29 % TRYING [4]
% 33.85/5.29 % (798257)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=624034205:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.85/5.29 % TRYING [5]
% 33.85/5.29 % TRYING [6]
% 33.85/5.29 % (798255)Instruction limit reached!
% 33.85/5.29 % (798255)------------------------------
% 33.85/5.29 % (798255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798255)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798255)Termination reason: Instruction limit
% 33.85/5.29 % (798255)Termination phase: Finite model building SAT solving
% 33.85/5.29 % (798255)Time elapsed: 0.176 s
% 33.85/5.29 % (798255)Peak memory usage: 24 MB
% 33.85/5.29 % (798255)Instructions burned: 867 (million)
% 33.85/5.29 % (798260)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2811339926:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.85/5.29 % (798249)Instruction limit reached!
% 33.85/5.29 % (798249)------------------------------
% 33.85/5.29 % (798249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798249)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798249)Termination reason: Instruction limit
% 33.85/5.29 % (798249)Termination phase: Saturation
% 33.85/5.29 % (798249)Time elapsed: 0.350 s
% 33.85/5.29 % (798249)Peak memory usage: 16 MB
% 33.85/5.29 % (798249)Instructions burned: 685 (million)
% 33.85/5.29 % TRYING [14]
% 33.85/5.29 % (798254)Instruction limit reached!
% 33.85/5.29 % (798254)------------------------------
% 33.85/5.29 % (798254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798254)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798254)Termination reason: Instruction limit
% 33.85/5.29 % (798254)Termination phase: Saturation
% 33.85/5.29 % (798254)Time elapsed: 0.268 s
% 33.85/5.29 % (798254)Peak memory usage: 16 MB
% 33.85/5.29 % (798254)Instructions burned: 479 (million)
% 33.85/5.29 % (798262)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=3925429727: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)
% 33.85/5.29 % (798264)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1011949345:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 33.85/5.29 % TRYING [8]
% 33.85/5.29 % (798260)Instruction limit reached!
% 33.85/5.29 % (798260)------------------------------
% 33.85/5.29 % (798260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798260)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798260)Termination reason: Instruction limit
% 33.85/5.29 % (798260)Termination phase: Finite model building constraint generation
% 33.85/5.29 % (798260)Time elapsed: 0.189 s
% 33.85/5.29 % (798260)Peak memory usage: 81 MB
% 33.85/5.29 % (798260)Instructions burned: 891 (million)
% 33.85/5.29 % (798266)fmb+10_1_sil=64000:random_seed=152660861:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 33.85/5.29 % TRYING [1]
% 33.85/5.29 % TRYING [2]
% 33.85/5.29 % TRYING [3]
% 33.85/5.29 % TRYING [4]
% 33.85/5.29 % TRYING [5]
% 33.85/5.29 % TRYING [6]
% 33.85/5.29 % TRYING [7]
% 33.85/5.29 % (798257)Instruction limit reached!
% 33.85/5.29 % (798257)------------------------------
% 33.85/5.29 % (798257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798257)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798257)Termination reason: Instruction limit
% 33.85/5.29 % (798257)Termination phase: Saturation
% 33.85/5.29 % (798257)Time elapsed: 0.612 s
% 33.85/5.29 % (798257)Peak memory usage: 18 MB
% 33.85/5.29 % (798257)Instructions burned: 1181 (million)
% 33.85/5.29 % (798262)Instruction limit reached!
% 33.85/5.29 % (798262)------------------------------
% 33.85/5.29 % (798262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798262)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798262)Termination reason: Instruction limit
% 33.85/5.29 % (798262)Termination phase: Saturation
% 33.85/5.29 % (798262)Time elapsed: 0.388 s
% 33.85/5.29 % (798262)Peak memory usage: 20 MB
% 33.85/5.29 % (798262)Instructions burned: 694 (million)
% 33.85/5.29 % (798268)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2069127634:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 33.85/5.29 % TRYING [20]
% 33.85/5.29 % (798270)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2722818822:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 33.85/5.29 % TRYING [8]
% 33.85/5.29 % (798264)Instruction limit reached!
% 33.85/5.29 % (798264)------------------------------
% 33.85/5.29 % (798264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798264)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798264)Termination reason: Instruction limit
% 33.85/5.29 % (798264)Termination phase: Saturation
% 33.85/5.29 % (798264)Time elapsed: 0.503 s
% 33.85/5.29 % (798264)Peak memory usage: 19 MB
% 33.85/5.29 % (798264)Instructions burned: 880 (million)
% 33.85/5.29 % TRYING [9]
% 33.85/5.29 % (798272)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1894694684:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 33.85/5.29 % TRYING [8]
% 33.85/5.29 % (798270)Instruction limit reached!
% 33.85/5.29 % (798270)------------------------------
% 33.85/5.29 % (798270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798270)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798270)Termination reason: Instruction limit
% 33.85/5.29 % (798270)Termination phase: Finite model building constraint generation
% 33.85/5.29 % (798270)Time elapsed: 0.347 s
% 33.85/5.29 % (798270)Peak memory usage: 65 MB
% 33.85/5.29 % (798270)Instructions burned: 920 (million)
% 33.85/5.29 % (798274)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2130735748:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 33.85/5.29 % TRYING [9]
% 33.85/5.29 % (798274)Instruction limit reached!
% 33.85/5.29 % (798274)------------------------------
% 33.85/5.29 % (798274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798274)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798274)Termination reason: Instruction limit
% 33.85/5.29 % (798274)Termination phase: Saturation
% 33.85/5.29 % (798274)Time elapsed: 0.769 s
% 33.85/5.29 % (798274)Peak memory usage: 36 MB
% 33.85/5.29 % (798274)Instructions burned: 1473 (million)
% 33.85/5.29 % (798276)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1911553667:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 33.85/5.29 % TRYING [77]
% 33.85/5.29 % TRYING [10]
% 33.85/5.29 % TRYING [10]
% 33.85/5.29 % (798272)Instruction limit reached!
% 33.85/5.29 % (798272)------------------------------
% 33.85/5.29 % (798272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798272)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798272)Termination reason: Instruction limit
% 33.85/5.29 % (798272)Termination phase: Saturation
% 33.85/5.29 % (798272)Time elapsed: 2.679 s
% 33.85/5.29 % (798272)Peak memory usage: 47 MB
% 33.85/5.29 % (798272)Instructions burned: 5131 (million)
% 33.85/5.29 % (798278)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2065548627:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 33.85/5.29 % TRYING [16]
% 33.85/5.29 % (798268)Instruction limit reached!
% 33.85/5.29 % (798268)------------------------------
% 33.85/5.29 % (798268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798268)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798268)Termination reason: Instruction limit
% 33.85/5.29 % (798268)Termination phase: Finite model building constraint generation
% 33.85/5.29 % (798268)Time elapsed: 3.454 s
% 33.85/5.29 % (798268)Peak memory usage: 666 MB
% 33.85/5.29 % (798268)Instructions burned: 9515 (million)
% 33.85/5.29 % (798276)Instruction limit reached!
% 33.85/5.29 % (798276)------------------------------
% 33.85/5.29 % (798276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798276)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798276)Termination reason: Instruction limit
% 33.85/5.29 % (798276)Termination phase: Finite model building constraint generation
% 33.85/5.29 % (798276)Time elapsed: 2.349 s
% 33.85/5.29 % (798276)Peak memory usage: 472 MB
% 33.85/5.29 % (798276)Instructions burned: 6324 (million)
% 33.85/5.29 % (798280)ott-2_1_sil=16000:newcnf=on:random_seed=3284273635:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 33.85/5.29 % (798278)Instruction limit reached!
% 33.85/5.29 % (798278)------------------------------
% 33.85/5.29 % (798278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798278)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798278)Termination reason: Instruction limit
% 33.85/5.29 % (798278)Termination phase: Finite model building constraint generation
% 33.85/5.29 % (798278)Time elapsed: 0.732 s
% 33.85/5.29 % (798278)Peak memory usage: 133 MB
% 33.85/5.29 % (798278)Instructions burned: 2175 (million)
% 33.85/5.29 % (798282)ott+10_1_sil=32000:tgt=ground:random_seed=2669125002:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 33.85/5.29 % (798283)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2336439592:i=54282_2955 on theBenchmark for (2955ds/54282Mi)
% 33.85/5.29 % TRYING [1]
% 33.85/5.29 % TRYING [2]
% 33.85/5.29 % TRYING [3]
% 33.85/5.29 % TRYING [4]
% 33.85/5.29 % TRYING [5]
% 33.85/5.29 % TRYING [6]
% 33.85/5.29 % TRYING [7]
% 33.85/5.29 % (798282) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-798227-798282"...
% 33.85/5.29 % (798282)...printing done.
% 33.85/5.29 % (798282)Refutation found. Thanks to Tanya!
% 33.85/5.29 % SZS status Theorem for theBenchmark
% 33.85/5.29 % SZS output start Proof for theBenchmark
% See solution above
% 33.85/5.29 % (798282)------------------------------
% 33.85/5.29 % (798282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.85/5.29 % (798282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.85/5.29 % (798282)CaDiCaL version: 2.1.3
% 33.85/5.29 % (798282)Termination reason: Refutation
% 33.85/5.29 % (798282)Time elapsed: 0.332 s
% 33.85/5.29 % (798282)Peak memory usage: 17 MB
% 33.85/5.29 % (798282)Instructions burned: 584 (million)
% 33.85/5.29 % (798227)Success in time 4.872 s
% 33.85/5.29 % Vampire exiting
%------------------------------------------------------------------------------