%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE012+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:40:03 AM UTC 2026
% Result : Theorem 9.43s 2.18s
% Output : Refutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 109 ( 82 unt; 3 def)
% Number of atoms : 161 ( 112 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 88 ( 36 ~; 28 |; 17 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 100 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(X0,X1) = multiplication(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(X0,X1) = multiplication(X1,X0) ),
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] :
( multiplication(X0,X1) != multiplication(X1,X0)
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( multiplication(X0,X1) != multiplication(X1,X0)
& test(X1)
& test(X0) ),
inference(flattening,[],[f21]) ).
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,
( multiplication(sK1,sK2) != multiplication(sK2,sK1)
& 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(f34,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
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,
multiplication(sK1,sK2) != multiplication(sK2,sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f54,definition,
sF3 = multiplication(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f55,plain,
multiplication(sK1,sK2) = sF3,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF4 = multiplication(sK2,sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f57,plain,
multiplication(sK2,sK1) = sF4,
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
sF3 != sF4,
inference(definition_folding,[],[f52,f57,f55]) ).
fof(f59,plain,
! [X0] :
( ~ test(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f53,f43]) ).
fof(f63,plain,
! [X0] : multiplication(sK2,multiplication(sK1,X0)) = multiplication(sF4,X0),
inference(superposition,[],[f34,f57]) ).
fof(f69,plain,
! [X0] : multiplication(sK2,addition(sK1,X0)) = addition(sF4,multiplication(sK2,X0)),
inference(superposition,[],[f37,f57]) ).
fof(f72,plain,
! [X0] : multiplication(sK1,addition(X0,sK2)) = addition(multiplication(sK1,X0),sF3),
inference(superposition,[],[f37,f55]) ).
fof(f105,plain,
multiplication(sF4,sK2) = multiplication(sK2,sF3),
inference(superposition,[],[f63,f55]) ).
fof(f125,plain,
! [X0] : multiplication(addition(X0,sK1),sK2) = addition(multiplication(X0,sK2),sF3),
inference(superposition,[],[f38,f55]) ).
fof(f148,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f154,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f45,f53]) ).
fof(f182,plain,
one = addition(c(sK2),sK2),
inference(resolution,[],[f59,f51]) ).
fof(f183,plain,
one = addition(c(sK1),sK1),
inference(resolution,[],[f59,f50]) ).
fof(f188,plain,
one = addition(sK1,c(sK1)),
inference(superposition,[],[f30,f183]) ).
fof(f192,plain,
one = addition(sK2,c(sK2)),
inference(superposition,[],[f30,f182]) ).
fof(f198,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f31,f37]) ).
fof(f215,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f239,plain,
one = addition(sK1,one),
inference(superposition,[],[f215,f188]) ).
fof(f366,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f198,f38]) ).
fof(f457,plain,
! [X0,X1] : addition(multiplication(X0,c(sK1)),multiplication(addition(X0,X1),sK1)) = addition(multiplication(X0,one),multiplication(X1,sK1)),
inference(superposition,[],[f366,f183]) ).
fof(f458,plain,
! [X0,X1] : addition(multiplication(X0,c(sK2)),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f366,f182]) ).
fof(f558,plain,
! [X0,X1] : addition(multiplication(X0,c(sK2)),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f458,f35]) ).
fof(f559,plain,
! [X0,X1] : addition(multiplication(X0,c(sK1)),multiplication(addition(X0,X1),sK1)) = addition(X0,multiplication(X1,sK1)),
inference(forward_demodulation,[],[f457,f35]) ).
fof(f774,plain,
zero = multiplication(c(sK2),sK2),
inference(resolution,[],[f154,f51]) ).
fof(f775,plain,
zero = multiplication(c(sK1),sK1),
inference(resolution,[],[f154,f50]) ).
fof(f781,plain,
! [X0] : multiplication(addition(c(sK1),X0),sK1) = addition(zero,multiplication(X0,sK1)),
inference(superposition,[],[f38,f775]) ).
fof(f792,plain,
! [X0] : multiplication(X0,sK1) = multiplication(addition(c(sK1),X0),sK1),
inference(forward_demodulation,[],[f781,f148]) ).
fof(f798,plain,
! [X0] : multiplication(c(sK2),addition(sK2,X0)) = addition(zero,multiplication(c(sK2),X0)),
inference(superposition,[],[f37,f774]) ).
fof(f815,plain,
! [X0] : multiplication(c(sK2),X0) = multiplication(c(sK2),addition(sK2,X0)),
inference(forward_demodulation,[],[f798,f148]) ).
fof(f2154,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = addition(multiplication(X0,c(sK1)),multiplication(X0,sK1)),
inference(superposition,[],[f559,f33]) ).
fof(f2216,plain,
! [X0] : multiplication(X0,addition(c(sK1),sK1)) = addition(X0,multiplication(X0,sK1)),
inference(forward_demodulation,[],[f2154,f37]) ).
fof(f2238,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK1)),
inference(forward_demodulation,[],[f2216,f183]) ).
fof(f2253,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = X0,
inference(forward_demodulation,[],[f2238,f35]) ).
fof(f2275,plain,
one = addition(one,sK1),
inference(superposition,[],[f2253,f36]) ).
fof(f2371,plain,
multiplication(one,sK2) = addition(multiplication(one,sK2),sF3),
inference(superposition,[],[f125,f2275]) ).
fof(f2380,plain,
sK2 = addition(sK2,sF3),
inference(forward_demodulation,[],[f2371,f36]) ).
fof(f2386,plain,
multiplication(c(sK2),sK2) = multiplication(c(sK2),sF3),
inference(superposition,[],[f815,f2380]) ).
fof(f2396,plain,
zero = multiplication(c(sK2),sF3),
inference(forward_demodulation,[],[f2386,f774]) ).
fof(f2511,plain,
! [X0] : addition(multiplication(X0,sF3),zero) = multiplication(addition(X0,c(sK2)),sF3),
inference(superposition,[],[f38,f2396]) ).
fof(f2529,plain,
! [X0] : multiplication(X0,sF3) = multiplication(addition(X0,c(sK2)),sF3),
inference(forward_demodulation,[],[f2511,f32]) ).
fof(f2547,plain,
multiplication(sK2,sF3) = multiplication(one,sF3),
inference(superposition,[],[f2529,f192]) ).
fof(f2576,plain,
sF3 = multiplication(sK2,sF3),
inference(forward_demodulation,[],[f2547,f36]) ).
fof(f2722,definition,
( spl5_41
<=> zero = multiplication(c(sK1),sF4) ),
introduced(definition,[new_symbols(definition,[spl5_41])],[avatar_definition]) ).
fof(f2723,plain,
( zero = multiplication(c(sK1),sF4)
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f2722]) ).
fof(f2822,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,c(sK2)),multiplication(X0,sK2)),
inference(superposition,[],[f558,f33]) ).
fof(f2898,plain,
! [X0] : multiplication(X0,addition(c(sK2),sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f2822,f37]) ).
fof(f2928,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f2898,f182]) ).
fof(f2950,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = X0,
inference(forward_demodulation,[],[f2928,f35]) ).
fof(f3005,plain,
sF4 = addition(sF4,multiplication(sK2,sF3)),
inference(superposition,[],[f2950,f105]) ).
fof(f3025,plain,
multiplication(c(sK1),sK1) = multiplication(multiplication(c(sK1),sK2),sK1),
inference(superposition,[],[f792,f2950]) ).
fof(f3050,plain,
multiplication(c(sK1),sK1) = multiplication(c(sK1),multiplication(sK2,sK1)),
inference(forward_demodulation,[],[f3025,f34]) ).
fof(f3063,plain,
sF4 = addition(sF4,sF3),
inference(forward_demodulation,[],[f3005,f2576]) ).
fof(f3075,plain,
multiplication(c(sK1),sK1) = multiplication(c(sK1),sF4),
inference(forward_demodulation,[],[f3050,f57]) ).
fof(f3091,plain,
zero = multiplication(c(sK1),sF4),
inference(forward_demodulation,[],[f3075,f775]) ).
fof(f3101,plain,
spl5_41,
inference(avatar_split_clause,[],[f3091,f2722]) ).
fof(f5762,plain,
( ! [X0] : addition(multiplication(X0,sF4),zero) = multiplication(addition(X0,c(sK1)),sF4)
| ~ spl5_41 ),
inference(superposition,[],[f38,f2723]) ).
fof(f5784,plain,
( ! [X0] : multiplication(X0,sF4) = multiplication(addition(X0,c(sK1)),sF4)
| ~ spl5_41 ),
inference(forward_demodulation,[],[f5762,f32]) ).
fof(f5805,plain,
( multiplication(sK1,sF4) = multiplication(one,sF4)
| ~ spl5_41 ),
inference(superposition,[],[f5784,f188]) ).
fof(f5841,plain,
( sF4 = multiplication(sK1,sF4)
| ~ spl5_41 ),
inference(forward_demodulation,[],[f5805,f36]) ).
fof(f6039,plain,
multiplication(sK2,one) = addition(sF4,multiplication(sK2,one)),
inference(superposition,[],[f69,f239]) ).
fof(f6057,plain,
sK2 = addition(sF4,sK2),
inference(forward_demodulation,[],[f6039,f35]) ).
fof(f6067,plain,
multiplication(sK1,sK2) = addition(multiplication(sK1,sF4),sF3),
inference(superposition,[],[f72,f6057]) ).
fof(f6081,plain,
( multiplication(sK1,sK2) = addition(sF4,sF3)
| ~ spl5_41 ),
inference(forward_demodulation,[],[f6067,f5841]) ).
fof(f6084,plain,
( multiplication(sK1,sK2) = sF4
| ~ spl5_41 ),
inference(forward_demodulation,[],[f6081,f3063]) ).
fof(f6085,plain,
( sF3 = sF4
| ~ spl5_41 ),
inference(forward_demodulation,[],[f6084,f55]) ).
fof(f6086,plain,
( $false
| ~ spl5_41 ),
inference(forward_subsumption_resolution,[],[f6085,f58]) ).
fof(f6087,plain,
~ spl5_41,
inference(avatar_contradiction_clause,[],[f6086]) ).
cnf(s18,plain,
spl5_41,
inference(sat_conversion,[],[f3101]) ).
cnf(s22,plain,
~ spl5_41,
inference(sat_conversion,[],[f6087]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s18,s22]) ).
fof(f6088,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE012+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 12:58:45 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/2.18 % (2015354)Detected formulas, will run a generic FOF schedule.
% 9.43/2.18 % (2015359)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=1978997162:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.43/2.18 % (2015362)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=757970254:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.43/2.18 % (2015360)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2602801807:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.43/2.18 % (2015365)dis-21_1_sil=8000:lcm=predicate:random_seed=2206327873:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.43/2.18 % (2015363)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=144422960:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.43/2.18 % (2015361)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2844444983:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.43/2.18 % (2015364)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=999952566:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.43/2.18 % (2015362)Refutation not found, incomplete strategy
% 9.43/2.18 % (2015362)------------------------------
% 9.43/2.18 % (2015362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015363)Refutation not found, incomplete strategy
% 9.43/2.18 % (2015363)------------------------------
% 9.43/2.18 % (2015363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015363)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015362)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015363)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (2015363)Time elapsed: 0.001 s
% 9.43/2.18 % (2015362)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (2015362)Time elapsed: 0.001 s
% 9.43/2.18 % (2015363)Peak memory usage: 88 MB
% 9.43/2.18 % (2015362)Peak memory usage: 88 MB
% 9.43/2.18 % (2015365)Refutation not found, incomplete strategy
% 9.43/2.18 % (2015365)------------------------------
% 9.43/2.18 % (2015365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015365)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015365)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (2015365)Time elapsed: 0.002 s
% 9.43/2.18 % (2015365)Peak memory usage: 88 MB
% 9.43/2.18 % (2015365)Instructions burned: 1 (million)
% 9.43/2.18 % (2015364)Instruction limit reached!
% 9.43/2.18 % (2015364)------------------------------
% 9.43/2.18 % (2015364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015364)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015364)Termination reason: Instruction limit
% 9.43/2.18 % (2015364)Termination phase: Saturation
% 9.43/2.18 % (2015364)Time elapsed: 0.080 s
% 9.43/2.18 % (2015364)Peak memory usage: 90 MB
% 9.43/2.18 % (2015364)Instructions burned: 140 (million)
% 9.43/2.18 % (2015365)------------------------------
% 9.43/2.18 % (2015365)------------------------------
% 9.43/2.18 % (2015362)------------------------------
% 9.43/2.18 % (2015362)------------------------------
% 9.43/2.18 % (2015363)------------------------------
% 9.43/2.18 % (2015363)------------------------------
% 9.43/2.18 % (2015373)lrs+10_1_sil=8000:sp=occurrence:random_seed=2936697025:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.43/2.18 % (2015377)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1958421431:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.43/2.18 % (2015376)lrs+1011_1_sil=32000:sp=occurrence:random_seed=371997016:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.43/2.18 % (2015374)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1153267812:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.43/2.18 % (2015373)Instruction limit reached!
% 9.43/2.18 % (2015373)------------------------------
% 9.43/2.18 % (2015373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015373)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015373)Termination reason: Instruction limit
% 9.43/2.18 % (2015373)Termination phase: Saturation
% 9.43/2.18 % (2015373)Time elapsed: 0.174 s
% 9.43/2.18 % (2015373)Peak memory usage: 91 MB
% 9.43/2.18 % (2015373)Instructions burned: 285 (million)
% 9.43/2.18 % (2015377)Instruction limit reached!
% 9.43/2.18 % (2015377)------------------------------
% 9.43/2.18 % (2015377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015377)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015377)Termination reason: Instruction limit
% 9.43/2.18 % (2015377)Termination phase: Saturation
% 9.43/2.18 % (2015377)Time elapsed: 0.080 s
% 9.43/2.18 % (2015377)Peak memory usage: 92 MB
% 9.43/2.18 % (2015377)Instructions burned: 250 (million)
% 9.43/2.18 % (2015374)Instruction limit reached!
% 9.43/2.18 % (2015374)------------------------------
% 9.43/2.18 % (2015374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015374)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015374)Termination reason: Instruction limit
% 9.43/2.18 % (2015374)Termination phase: Saturation
% 9.43/2.18 % (2015374)Time elapsed: 0.069 s
% 9.43/2.18 % (2015374)Peak memory usage: 88 MB
% 9.43/2.18 % (2015374)Instructions burned: 159 (million)
% 9.43/2.18 % (2015382)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1306102713:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.43/2.18 % (2015381)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=940726743:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.43/2.18 % (2015381)Refutation not found, incomplete strategy
% 9.43/2.18 % (2015381)------------------------------
% 9.43/2.18 % (2015381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015381)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015381)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (2015381)Time elapsed: 0.002 s
% 9.43/2.18 % (2015381)Peak memory usage: 88 MB
% 9.43/2.18 % (2015381)Instructions burned: 1 (million)
% 9.43/2.18 % (2015361)Refutation not found, incomplete strategy
% 9.43/2.18 % (2015361)------------------------------
% 9.43/2.18 % (2015361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015361)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015361)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (2015361)Time elapsed: 0.597 s
% 9.43/2.18 % (2015361)Peak memory usage: 126 MB
% 9.43/2.18 % (2015361)Instructions burned: 882 (million)
% 9.43/2.18 % (2015376)Instruction limit reached!
% 9.43/2.18 % (2015376)------------------------------
% 9.43/2.18 % (2015376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015376)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015376)Termination reason: Instruction limit
% 9.43/2.18 % (2015376)Termination phase: Saturation
% 9.43/2.18 % (2015376)Time elapsed: 0.194 s
% 9.43/2.18 % (2015376)Peak memory usage: 91 MB
% 9.43/2.18 % (2015376)Instructions burned: 326 (million)
% 9.43/2.18 % (2015383)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2401537769:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.43/2.18 % (2015383)Instruction limit reached!
% 9.43/2.18 % (2015383)------------------------------
% 9.43/2.18 % (2015383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015383)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015383)Termination reason: Instruction limit
% 9.43/2.18 % (2015383)Termination phase: Saturation
% 9.43/2.18 % (2015383)Time elapsed: 0.081 s
% 9.43/2.18 % (2015383)Peak memory usage: 90 MB
% 9.43/2.18 % (2015383)Instructions burned: 113 (million)
% 9.43/2.18 % (2015386)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2202640597:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.43/2.18 % (2015386)Instruction limit reached!
% 9.43/2.18 % (2015386)------------------------------
% 9.43/2.18 % (2015386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015386)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015386)Termination reason: Instruction limit
% 9.43/2.18 % (2015386)Termination phase: Saturation
% 9.43/2.18 % (2015386)Time elapsed: 0.064 s
% 9.43/2.18 % (2015386)Peak memory usage: 89 MB
% 9.43/2.18 % (2015386)Instructions burned: 128 (million)
% 9.43/2.18 % (2015381)------------------------------
% 9.43/2.18 % (2015381)------------------------------
% 9.43/2.18 % (2015361)------------------------------
% 9.43/2.18 % (2015361)------------------------------
% 9.43/2.18 % (2015359)First to succeed.
% 9.43/2.18 % (2015388)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3375723731:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.43/2.18 % (2015359)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2015354"
% 9.43/2.18 % (2015388)Refutation not found, incomplete strategy
% 9.43/2.18 % (2015388)------------------------------
% 9.43/2.18 % (2015388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015388)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015388)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (2015388)Time elapsed: 0.001 s
% 9.43/2.18 % (2015388)Peak memory usage: 88 MB
% 9.43/2.18 % (2015390)lrs+10_1_sil=8000:sp=occurrence:random_seed=3150079931:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 9.43/2.18 % (2015391)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2284549943:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.43/2.18 % (2015392)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2712359197:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.43/2.18 % (2015391)Refutation not found, incomplete strategy
% 9.43/2.18 % (2015391)------------------------------
% 9.43/2.18 % (2015391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (2015391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (2015391)CaDiCaL version: 2.1.3
% 9.43/2.18 % (2015391)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (2015391)Time elapsed: 0.001 s
% 9.43/2.18 % (2015391)Peak memory usage: 88 MB
% 9.43/2.18 % (2015360)Also succeeded, but the first one will report.
% 9.43/2.18 % (2015388)------------------------------
% 9.43/2.18 % (2015388)------------------------------
% 9.43/2.18 % (2015359)Refutation found. Thanks to Tanya!
% 9.43/2.18 % SZS status Theorem for theBenchmark
% 9.43/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 9.91/2.38 % (2015359)------------------------------
% 9.91/2.38 % (2015359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.38 % (2015359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.38 % (2015359)CaDiCaL version: 2.1.3
% 9.91/2.38 % (2015359)Termination reason: Refutation
% 9.91/2.38 % (2015359)Time elapsed: 0.939 s
% 9.91/2.38 % (2015359)Peak memory usage: 137 MB
% 9.91/2.38 % (2015359)Instructions burned: 1740 (million)
% 9.91/2.38 % (2015359)------------------------------
% 9.91/2.38 % (2015359)------------------------------
% 9.91/2.38 % (2015354)Success in time 1.323 s
% 9.91/2.38 % Vampire exiting
%------------------------------------------------------------------------------