%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE044+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:40:11 AM UTC 2026
% Result : Theorem 12.43s 3.19s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 105 ( 90 unt; 3 def)
% Number of atoms : 122 ( 87 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 14 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 87 ( 86 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_left) ).
fof(f17,conjecture,
! [X0] : star(addition(one,X0)) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : star(addition(one,X0)) = star(X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0] : star(X0) != star(addition(one,X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
star(sK0) != star(addition(one,sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
star(sK0) != star(addition(one,sK0)),
inference(cnf_transformation,[],[f23]) ).
fof(f42,definition,
sF1 = star(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
star(sK0) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF2 = addition(one,sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
addition(one,sK0) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF3 = star(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
star(sF2) = sF3,
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
sF1 != sF3,
inference(definition_folding,[],[f41,f47,f45,f43]) ).
fof(f49,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f52,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f49,f25]) ).
fof(f54,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f38,f35]) ).
fof(f58,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f54,f25]) ).
fof(f66,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f24,f25]) ).
fof(f72,plain,
sF1 = addition(one,addition(multiplication(sF1,sK0),sF1)),
inference(superposition,[],[f58,f43]) ).
fof(f94,plain,
sF1 = addition(one,addition(multiplication(sK0,sF1),sF1)),
inference(superposition,[],[f52,f43]) ).
fof(f97,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(superposition,[],[f52,f24]) ).
fof(f117,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f120,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f32,f30]) ).
fof(f148,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f29]) ).
fof(f261,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f36,f27]) ).
fof(f262,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f267,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f282,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f262,f45]) ).
fof(f284,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f262,f52]) ).
fof(f302,plain,
sF1 = addition(one,sF1),
inference(superposition,[],[f284,f43]) ).
fof(f303,plain,
sF3 = addition(one,sF3),
inference(superposition,[],[f284,f47]) ).
fof(f310,plain,
! [X0] : addition(sF3,X0) = addition(one,addition(sF3,X0)),
inference(superposition,[],[f25,f303]) ).
fof(f314,plain,
! [X0] : addition(sF1,X0) = addition(one,addition(sF1,X0)),
inference(superposition,[],[f25,f302]) ).
fof(f375,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f39,f27]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f24]) ).
fof(f416,plain,
sF1 = addition(one,addition(sF1,multiplication(sF1,sK0))),
inference(superposition,[],[f72,f24]) ).
fof(f425,plain,
sF1 = addition(sF1,multiplication(sF1,sK0)),
inference(forward_demodulation,[],[f416,f314]) ).
fof(f428,plain,
sF1 = multiplication(sF1,addition(one,sK0)),
inference(forward_demodulation,[],[f425,f148]) ).
fof(f439,plain,
sF1 = multiplication(sF1,sF2),
inference(forward_demodulation,[],[f428,f45]) ).
fof(f447,plain,
multiplication(addition(one,sF1),sF2) = addition(sF2,sF1),
inference(superposition,[],[f117,f439]) ).
fof(f453,plain,
multiplication(sF1,sF2) = addition(sF2,sF1),
inference(forward_demodulation,[],[f447,f302]) ).
fof(f457,plain,
sF1 = addition(sF2,sF1),
inference(forward_demodulation,[],[f453,f439]) ).
fof(f466,plain,
sF1 = addition(one,addition(sF1,multiplication(sK0,sF1))),
inference(superposition,[],[f94,f24]) ).
fof(f475,plain,
sF1 = addition(sF1,multiplication(sK0,sF1)),
inference(forward_demodulation,[],[f466,f314]) ).
fof(f478,plain,
sF1 = multiplication(addition(one,sK0),sF1),
inference(forward_demodulation,[],[f475,f117]) ).
fof(f489,plain,
sF1 = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f478,f45]) ).
fof(f494,plain,
! [X0] : multiplication(addition(X0,sF2),sF1) = addition(multiplication(X0,sF1),sF1),
inference(superposition,[],[f32,f489]) ).
fof(f506,plain,
! [X0] : multiplication(addition(X0,sF2),sF1) = multiplication(addition(X0,one),sF1),
inference(forward_demodulation,[],[f494,f120]) ).
fof(f541,plain,
sF3 = addition(one,addition(sF3,multiplication(sF2,sF3))),
inference(superposition,[],[f97,f47]) ).
fof(f555,plain,
sF3 = addition(sF3,multiplication(sF2,sF3)),
inference(forward_demodulation,[],[f541,f310]) ).
fof(f560,plain,
sF3 = multiplication(addition(one,sF2),sF3),
inference(forward_demodulation,[],[f555,f117]) ).
fof(f562,plain,
sF3 = multiplication(sF2,sF3),
inference(forward_demodulation,[],[f560,f282]) ).
fof(f569,plain,
! [X0] : multiplication(addition(X0,sF2),sF3) = addition(multiplication(X0,sF3),sF3),
inference(superposition,[],[f32,f562]) ).
fof(f581,plain,
! [X0] : multiplication(addition(X0,sF2),sF3) = multiplication(addition(X0,one),sF3),
inference(forward_demodulation,[],[f569,f120]) ).
fof(f892,plain,
( leq(multiplication(star(sF2),sF1),sF1)
| ~ leq(sF1,sF1) ),
inference(superposition,[],[f375,f489]) ).
fof(f905,plain,
leq(multiplication(star(sF2),sF1),sF1),
inference(forward_subsumption_resolution,[],[f892,f267]) ).
fof(f930,plain,
leq(multiplication(sF3,sF1),sF1),
inference(forward_demodulation,[],[f905,f47]) ).
fof(f935,plain,
sF1 = addition(multiplication(sF3,sF1),sF1),
inference(resolution,[],[f930,f35]) ).
fof(f936,plain,
sF1 = multiplication(addition(sF3,one),sF1),
inference(forward_demodulation,[],[f935,f120]) ).
fof(f937,plain,
sF1 = multiplication(addition(sF3,sF2),sF1),
inference(forward_demodulation,[],[f936,f506]) ).
fof(f962,plain,
multiplication(addition(sF3,sF2),addition(one,sF1)) = addition(addition(sF3,sF2),sF1),
inference(superposition,[],[f148,f937]) ).
fof(f967,plain,
multiplication(addition(sF3,sF2),addition(one,sF1)) = addition(sF3,addition(sF2,sF1)),
inference(forward_demodulation,[],[f962,f25]) ).
fof(f974,plain,
multiplication(addition(sF3,sF2),addition(one,sF1)) = addition(sF3,sF1),
inference(forward_demodulation,[],[f967,f457]) ).
fof(f979,plain,
multiplication(addition(sF3,sF2),sF1) = addition(sF3,sF1),
inference(forward_demodulation,[],[f974,f302]) ).
fof(f983,plain,
sF1 = addition(sF3,sF1),
inference(forward_demodulation,[],[f979,f937]) ).
fof(f1048,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f377,f117]) ).
fof(f1077,plain,
! [X0] :
( ~ leq(multiplication(sF2,X0),X0)
| leq(multiplication(star(sK0),X0),X0) ),
inference(superposition,[],[f1048,f45]) ).
fof(f1093,plain,
! [X0] :
( ~ leq(multiplication(sF2,X0),X0)
| leq(multiplication(sF1,X0),X0) ),
inference(forward_demodulation,[],[f1077,f43]) ).
fof(f1112,plain,
( ~ leq(sF3,sF3)
| leq(multiplication(sF1,sF3),sF3) ),
inference(superposition,[],[f1093,f562]) ).
fof(f1114,plain,
leq(multiplication(sF1,sF3),sF3),
inference(forward_subsumption_resolution,[],[f1112,f267]) ).
fof(f1120,plain,
sF3 = addition(multiplication(sF1,sF3),sF3),
inference(resolution,[],[f1114,f35]) ).
fof(f1121,plain,
sF3 = multiplication(addition(sF1,one),sF3),
inference(forward_demodulation,[],[f1120,f120]) ).
fof(f1122,plain,
sF3 = multiplication(addition(sF1,sF2),sF3),
inference(forward_demodulation,[],[f1121,f581]) ).
fof(f1195,plain,
! [X0] : addition(X0,sF1) = addition(sF1,addition(X0,sF3)),
inference(superposition,[],[f66,f983]) ).
fof(f1448,plain,
multiplication(addition(sF1,sF2),addition(one,sF3)) = addition(addition(sF1,sF2),sF3),
inference(superposition,[],[f148,f1122]) ).
fof(f1455,plain,
multiplication(addition(sF1,sF2),addition(one,sF3)) = addition(sF1,addition(sF2,sF3)),
inference(forward_demodulation,[],[f1448,f25]) ).
fof(f1462,plain,
addition(sF2,sF1) = multiplication(addition(sF1,sF2),addition(one,sF3)),
inference(forward_demodulation,[],[f1455,f1195]) ).
fof(f1467,plain,
addition(sF2,sF1) = multiplication(addition(sF1,sF2),sF3),
inference(forward_demodulation,[],[f1462,f303]) ).
fof(f1471,plain,
sF3 = addition(sF2,sF1),
inference(forward_demodulation,[],[f1467,f1122]) ).
fof(f1473,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f1471,f457]) ).
fof(f1475,plain,
$false,
inference(forward_subsumption_resolution,[],[f1473,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE044+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.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 13:09:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.43/3.19 % (2835649)Detected formulas, will run a generic FOF schedule.
% 12.43/3.19 % (2835656)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=136219962:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.43/3.19 % (2835654)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=1155805511:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.43/3.19 % (2835655)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=3227815925:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.43/3.19 % (2835658)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1337782987:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.43/3.19 % (2835657)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2012737104:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.43/3.19 % (2835657)Refutation not found, incomplete strategy
% 12.43/3.19 % (2835657)------------------------------
% 12.43/3.19 % (2835657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835657)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835657)Termination reason: Refutation not found, incomplete strategy
% 12.43/3.19 % (2835657)Time elapsed: 0.002 s
% 12.43/3.19 % (2835657)Peak memory usage: 88 MB
% 12.43/3.19 % (2835659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1618863973:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.43/3.19 % (2835660)dis-21_1_sil=8000:lcm=predicate:random_seed=777408376: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)
% 12.43/3.19 % (2835660)Refutation not found, incomplete strategy
% 12.43/3.19 % (2835660)------------------------------
% 12.43/3.19 % (2835660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835660)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835660)Termination reason: Refutation not found, incomplete strategy
% 12.43/3.19 % (2835660)Time elapsed: 0.003 s
% 12.43/3.19 % (2835660)Peak memory usage: 88 MB
% 12.43/3.19 % (2835660)Instructions burned: 1 (million)
% 12.43/3.19 % (2835658)Instruction limit reached!
% 12.43/3.19 % (2835658)------------------------------
% 12.43/3.19 % (2835658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835658)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835658)Termination reason: Instruction limit
% 12.43/3.19 % (2835658)Termination phase: Saturation
% 12.43/3.19 % (2835658)Time elapsed: 0.117 s
% 12.43/3.19 % (2835658)Peak memory usage: 89 MB
% 12.43/3.19 % (2835658)Instructions burned: 119 (million)
% 12.43/3.19 % (2835659)Instruction limit reached!
% 12.43/3.19 % (2835659)------------------------------
% 12.43/3.19 % (2835659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835659)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835659)Termination reason: Instruction limit
% 12.43/3.19 % (2835659)Termination phase: Saturation
% 12.43/3.19 % (2835659)Time elapsed: 0.135 s
% 12.43/3.19 % (2835659)Peak memory usage: 90 MB
% 12.43/3.19 % (2835659)Instructions burned: 139 (million)
% 12.43/3.19 % (2835657)------------------------------
% 12.43/3.19 % (2835657)------------------------------
% 12.43/3.19 % (2835660)------------------------------
% 12.43/3.19 % (2835660)------------------------------
% 12.43/3.19 % (2835668)lrs+10_1_sil=8000:sp=occurrence:random_seed=815947919:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 12.43/3.19 % (2835669)lrs+10_1_sil=32000:urr=on:br=off:random_seed=319739298:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.43/3.19 % (2835656)Refutation not found, incomplete strategy
% 12.43/3.19 % (2835656)------------------------------
% 12.43/3.19 % (2835656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835656)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835656)Termination reason: Refutation not found, incomplete strategy
% 12.43/3.19 % (2835656)Time elapsed: 0.605 s
% 12.43/3.19 % (2835656)Peak memory usage: 127 MB
% 12.43/3.19 % (2835656)Instructions burned: 890 (million)
% 12.43/3.19 % (2835669)Instruction limit reached!
% 12.43/3.19 % (2835669)------------------------------
% 12.43/3.19 % (2835669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835669)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835669)Termination reason: Instruction limit
% 12.43/3.19 % (2835669)Termination phase: Saturation
% 12.43/3.19 % (2835669)Time elapsed: 0.142 s
% 12.43/3.19 % (2835669)Peak memory usage: 89 MB
% 12.43/3.19 % (2835669)Instructions burned: 158 (million)
% 12.43/3.19 % (2835670)lrs+1011_1_sil=32000:sp=occurrence:random_seed=143342439:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 12.43/3.19 % (2835672)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=1515816903:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 12.43/3.19 % (2835668)Instruction limit reached!
% 12.43/3.19 % (2835668)------------------------------
% 12.43/3.19 % (2835668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835668)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835668)Termination reason: Instruction limit
% 12.43/3.19 % (2835668)Termination phase: Saturation
% 12.43/3.19 % (2835668)Time elapsed: 0.299 s
% 12.43/3.19 % (2835668)Peak memory usage: 91 MB
% 12.43/3.19 % (2835668)Instructions burned: 286 (million)
% 12.43/3.19 % (2835670)Instruction limit reached!
% 12.43/3.19 % (2835670)------------------------------
% 12.43/3.19 % (2835670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835670)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835670)Termination reason: Instruction limit
% 12.43/3.19 % (2835670)Termination phase: Saturation
% 12.43/3.19 % (2835670)Time elapsed: 0.168 s
% 12.43/3.19 % (2835670)Peak memory usage: 91 MB
% 12.43/3.19 % (2835670)Instructions burned: 325 (million)
% 12.43/3.19 % (2835674)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=339105553:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 12.43/3.19 % (2835674)Refutation not found, incomplete strategy
% 12.43/3.19 % (2835674)------------------------------
% 12.43/3.19 % (2835674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835674)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835674)Termination reason: Refutation not found, incomplete strategy
% 12.43/3.19 % (2835674)Time elapsed: 0.003 s
% 12.43/3.19 % (2835674)Peak memory usage: 88 MB
% 12.43/3.19 % (2835674)Instructions burned: 1 (million)
% 12.43/3.19 % (2835656)------------------------------
% 12.43/3.19 % (2835656)------------------------------
% 12.43/3.19 % (2835672)Instruction limit reached!
% 12.43/3.19 % (2835672)------------------------------
% 12.43/3.19 % (2835672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835672)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835672)Termination reason: Instruction limit
% 12.43/3.19 % (2835672)Termination phase: Saturation
% 12.43/3.19 % (2835672)Time elapsed: 0.249 s
% 12.43/3.19 % (2835672)Peak memory usage: 91 MB
% 12.43/3.19 % (2835672)Instructions burned: 248 (million)
% 12.43/3.19 % (2835677)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=503962927:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 12.43/3.19 % (2835678)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4138086762:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 12.43/3.19 % (2835678)Refutation not found, incomplete strategy
% 12.43/3.19 % (2835678)------------------------------
% 12.43/3.19 % (2835678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835678)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835678)Termination reason: Refutation not found, incomplete strategy
% 12.43/3.19 % (2835678)Time elapsed: 0.003 s
% 12.43/3.19 % (2835678)Peak memory usage: 88 MB
% 12.43/3.19 % (2835678)Instructions burned: 1 (million)
% 12.43/3.19 % (2835680)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2803893189:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 12.43/3.19 % (2835680)Refutation not found, incomplete strategy
% 12.43/3.19 % (2835680)------------------------------
% 12.43/3.19 % (2835680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835680)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835680)Termination reason: Refutation not found, incomplete strategy
% 12.43/3.19 % (2835680)Time elapsed: 0.002 s
% 12.43/3.19 % (2835680)Peak memory usage: 88 MB
% 12.43/3.19 % (2835654)First to succeed.
% 12.43/3.19 % (2835654)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2835649"
% 12.43/3.19 % (2835681)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2368151489:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 12.43/3.19 % (2835681)Refutation not found, incomplete strategy
% 12.43/3.19 % (2835681)------------------------------
% 12.43/3.19 % (2835681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/3.19 % (2835681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/3.19 % (2835681)CaDiCaL version: 2.1.3
% 12.43/3.19 % (2835681)Termination reason: Refutation not found, incomplete strategy
% 12.43/3.19 % (2835681)Time elapsed: 0.002 s
% 12.43/3.19 % (2835681)Peak memory usage: 88 MB
% 12.43/3.19 % (2835674)------------------------------
% 12.43/3.19 % (2835674)------------------------------
% 12.43/3.19 % (2835655)Also succeeded, but the first one will report.
% 12.43/3.19 % (2835678)------------------------------
% 12.43/3.19 % (2835678)------------------------------
% 12.43/3.19 % (2835686)lrs+10_1_sil=8000:sp=occurrence:random_seed=2247988555:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 12.43/3.19 % (2835680)------------------------------
% 12.43/3.19 % (2835680)------------------------------
% 12.43/3.19 % (2835681)------------------------------
% 12.43/3.19 % (2835681)------------------------------
% 12.43/3.19 % (2835654)Refutation found. Thanks to Tanya!
% 12.43/3.19 % SZS status Theorem for theBenchmark
% 12.43/3.19 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/3.41 % (2835654)------------------------------
% 0.19/3.41 % (2835654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/3.41 % (2835654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/3.41 % (2835654)CaDiCaL version: 2.1.3
% 0.19/3.41 % (2835654)Termination reason: Refutation
% 0.19/3.41 % (2835654)Time elapsed: 1.256 s
% 0.19/3.41 % (2835654)Peak memory usage: 129 MB
% 0.19/3.41 % (2835654)Instructions burned: 1116 (million)
% 0.19/3.41 % (2835654)------------------------------
% 0.19/3.41 % (2835654)------------------------------
% 0.19/3.41 % (2835649)Success in time 1.98 s
% 0.19/3.41 % Vampire exiting
%------------------------------------------------------------------------------