%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE088+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:18 AM UTC 2026
% Result : Theorem 10.77s 2.45s
% Output : Refutation 11.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 84 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 106 ( 104 !; 2 ?)
% 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(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
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(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f21,conjecture,
! [X0,X1] :
( multiplication(domain(X0),X1) = zero
=> addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] :
( multiplication(domain(X0),X1) = zero
=> addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
? [X0,X1] :
( antidomain(X1) != addition(domain(X0),antidomain(X1))
& multiplication(domain(X0),X1) = zero ),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
( antidomain(sK1) != addition(domain(sK0),antidomain(sK1))
& zero = multiplication(domain(sK0),sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f23]) ).
fof(f25,plain,
zero = multiplication(domain(sK0),sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f26,plain,
antidomain(sK1) != addition(domain(sK0),antidomain(sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f27,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f46,plain,
antidomain(sK1) != addition(antidomain(antidomain(sK0)),antidomain(sK1)),
inference(definition_unfolding,[],[f26,f38]) ).
fof(f47,plain,
zero = multiplication(antidomain(antidomain(sK0)),sK1),
inference(definition_unfolding,[],[f25,f38]) ).
fof(f48,plain,
antidomain(sK1) != addition(antidomain(sK1),antidomain(antidomain(sK0))),
inference(forward_demodulation,[],[f46,f31]) ).
fof(f62,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f31,f36]) ).
fof(f82,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f28,f45]) ).
fof(f107,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f28,f33]) ).
fof(f108,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f28,f33]) ).
fof(f109,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f27,f33]) ).
fof(f110,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f27,f33]) ).
fof(f111,plain,
zero = antidomain(one),
inference(superposition,[],[f45,f33]) ).
fof(f112,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f110,f62]) ).
fof(f113,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f109,f36]) ).
fof(f114,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X0,X1)),
inference(forward_demodulation,[],[f108,f62]) ).
fof(f115,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f107,f36]) ).
fof(f142,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f113,f39]) ).
fof(f154,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f142,f44]) ).
fof(f160,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f115,f27]) ).
fof(f185,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f160,f39]) ).
fof(f196,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f185,f44]) ).
fof(f214,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f39,f111]) ).
fof(f215,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f214,f36]) ).
fof(f239,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f114,f39]) ).
fof(f248,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f239,f45]) ).
fof(f253,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f248,f154]) ).
fof(f345,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f30,f29]) ).
fof(f353,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f30,f28]) ).
fof(f521,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,[],[f353,f27]) ).
fof(f674,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),one),
inference(superposition,[],[f345,f39]) ).
fof(f691,plain,
! [X0] : one = addition(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f674,f31]) ).
fof(f799,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,antidomain(X1))),
inference(superposition,[],[f521,f39]) ).
fof(f947,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f799,f45]) ).
fof(f1030,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(X1))),
inference(superposition,[],[f947,f29]) ).
fof(f1084,plain,
! [X0,X1] : multiplication(X0,addition(antidomain(antidomain(X1)),antidomain(X1))) = addition(X0,multiplication(X0,antidomain(X1))),
inference(forward_demodulation,[],[f1030,f28]) ).
fof(f1104,plain,
! [X0,X1] : multiplication(X0,addition(antidomain(antidomain(X1)),antidomain(X1))) = multiplication(X0,addition(one,antidomain(X1))),
inference(forward_demodulation,[],[f1084,f82]) ).
fof(f1117,plain,
! [X0,X1] : multiplication(X0,one) = multiplication(X0,addition(one,antidomain(X1))),
inference(forward_demodulation,[],[f1104,f39]) ).
fof(f1127,plain,
! [X0,X1] : multiplication(X0,addition(one,antidomain(X1))) = X0,
inference(forward_demodulation,[],[f1117,f45]) ).
fof(f1137,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(superposition,[],[f691,f253]) ).
fof(f2008,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(sK1)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(sK1))))),
inference(superposition,[],[f40,f47]) ).
fof(f2050,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(sK1)))) = addition(one,antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f2008,f215]) ).
fof(f2071,plain,
one = antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f2050,f1137]) ).
fof(f2093,plain,
multiplication(one,multiplication(antidomain(antidomain(antidomain(sK0))),antidomain(antidomain(sK1)))) = multiplication(one,antidomain(antidomain(sK1))),
inference(superposition,[],[f196,f2071]) ).
fof(f2131,plain,
antidomain(antidomain(sK1)) = multiplication(one,multiplication(antidomain(antidomain(antidomain(sK0))),antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f2093,f44]) ).
fof(f2144,plain,
antidomain(antidomain(sK1)) = multiplication(antidomain(antidomain(antidomain(sK0))),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f2131,f44]) ).
fof(f2151,plain,
antidomain(antidomain(sK1)) = multiplication(antidomain(sK0),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f2144,f253]) ).
fof(f2169,plain,
multiplication(antidomain(sK0),addition(one,antidomain(antidomain(sK1)))) = addition(antidomain(sK0),antidomain(antidomain(sK1))),
inference(superposition,[],[f82,f2151]) ).
fof(f2180,plain,
antidomain(sK0) = addition(antidomain(sK0),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f2169,f1127]) ).
fof(f2196,plain,
multiplication(antidomain(sK0),sK0) = multiplication(antidomain(antidomain(sK1)),sK0),
inference(superposition,[],[f112,f2180]) ).
fof(f2208,plain,
zero = multiplication(antidomain(antidomain(sK1)),sK0),
inference(forward_demodulation,[],[f2196,f33]) ).
fof(f2220,plain,
antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK0)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK0))))),
inference(superposition,[],[f40,f2208]) ).
fof(f2237,plain,
antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK0)))) = addition(one,antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK0))))),
inference(forward_demodulation,[],[f2220,f215]) ).
fof(f2250,plain,
one = antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK0)))),
inference(forward_demodulation,[],[f2237,f1137]) ).
fof(f2288,plain,
multiplication(one,multiplication(antidomain(antidomain(antidomain(sK1))),antidomain(antidomain(sK0)))) = multiplication(one,antidomain(antidomain(sK0))),
inference(superposition,[],[f196,f2250]) ).
fof(f2326,plain,
antidomain(antidomain(sK0)) = multiplication(one,multiplication(antidomain(antidomain(antidomain(sK1))),antidomain(antidomain(sK0)))),
inference(forward_demodulation,[],[f2288,f44]) ).
fof(f2339,plain,
antidomain(antidomain(sK0)) = multiplication(antidomain(antidomain(antidomain(sK1))),antidomain(antidomain(sK0))),
inference(forward_demodulation,[],[f2326,f44]) ).
fof(f2346,plain,
antidomain(antidomain(sK0)) = multiplication(antidomain(sK1),antidomain(antidomain(sK0))),
inference(forward_demodulation,[],[f2339,f253]) ).
fof(f2363,plain,
addition(antidomain(sK1),antidomain(antidomain(sK0))) = multiplication(antidomain(sK1),addition(one,antidomain(antidomain(sK0)))),
inference(superposition,[],[f82,f2346]) ).
fof(f2374,plain,
antidomain(sK1) = addition(antidomain(sK1),antidomain(antidomain(sK0))),
inference(forward_demodulation,[],[f2363,f1127]) ).
fof(f2383,plain,
$false,
inference(forward_subsumption_resolution,[],[f2374,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE088+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:10:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 10.77/2.45 % (952479)Detected formulas, will run a generic FOF schedule.
% 10.77/2.45 % (952518)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1562651253:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.77/2.45 % (952512)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=1279978375:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.77/2.45 % (952515)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=3040851299:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.77/2.45 % (952517)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=424004078:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.77/2.45 % (952519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2196845888:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.77/2.45 % (952518)Instruction limit reached!
% 10.77/2.45 % (952518)------------------------------
% 10.77/2.45 % (952518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952518)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952514)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=3084169678:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.77/2.45 % (952518)Termination reason: Instruction limit
% 10.77/2.45 % (952518)Termination phase: Saturation
% 10.77/2.45 % (952518)Time elapsed: 0.038 s
% 10.77/2.45 % (952518)Peak memory usage: 89 MB
% 10.77/2.45 % (952518)Instructions burned: 120 (million)
% 10.77/2.45 % (952521)dis-21_1_sil=8000:lcm=predicate:random_seed=1078601707: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)
% 10.77/2.45 % (952521)Refutation not found, incomplete strategy
% 10.77/2.45 % (952521)------------------------------
% 10.77/2.45 % (952521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952521)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952521)Termination reason: Refutation not found, incomplete strategy
% 10.77/2.45 % (952521)Time elapsed: 0.002 s
% 10.77/2.45 % (952521)Peak memory usage: 88 MB
% 10.77/2.45 % (952521)Instructions burned: 1 (million)
% 10.77/2.45 % (952517)Instruction limit reached!
% 10.77/2.45 % (952517)------------------------------
% 10.77/2.45 % (952517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952517)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952517)Termination reason: Instruction limit
% 10.77/2.45 % (952517)Termination phase: Saturation
% 10.77/2.45 % (952517)Time elapsed: 0.065 s
% 10.77/2.45 % (952517)Peak memory usage: 89 MB
% 10.77/2.45 % (952517)Instructions burned: 109 (million)
% 10.77/2.45 % (952519)Instruction limit reached!
% 10.77/2.45 % (952519)------------------------------
% 10.77/2.45 % (952519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952519)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952519)Termination reason: Instruction limit
% 10.77/2.45 % (952519)Termination phase: Saturation
% 10.77/2.45 % (952519)Time elapsed: 0.082 s
% 10.77/2.45 % (952519)Peak memory usage: 89 MB
% 10.77/2.45 % (952519)Instructions burned: 140 (million)
% 10.77/2.45 % (952565)lrs+10_1_sil=8000:sp=occurrence:random_seed=674653514:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.77/2.45 % (952585)lrs+10_1_sil=32000:urr=on:br=off:random_seed=236070640:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.77/2.45 % (952590)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1570422165:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.77/2.45 % (952521)------------------------------
% 10.77/2.45 % (952521)------------------------------
% 10.77/2.45 % (952565)Instruction limit reached!
% 10.77/2.45 % (952565)------------------------------
% 10.77/2.45 % (952565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952565)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952565)Termination reason: Instruction limit
% 10.77/2.45 % (952565)Termination phase: Saturation
% 10.77/2.45 % (952565)Time elapsed: 0.091 s
% 10.77/2.45 % (952565)Peak memory usage: 91 MB
% 10.77/2.45 % (952565)Instructions burned: 286 (million)
% 10.77/2.45 % (952585)Instruction limit reached!
% 10.77/2.45 % (952585)------------------------------
% 10.77/2.45 % (952585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952585)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952585)Termination reason: Instruction limit
% 10.77/2.45 % (952585)Termination phase: Saturation
% 10.77/2.45 % (952585)Time elapsed: 0.095 s
% 10.77/2.45 % (952585)Peak memory usage: 90 MB
% 10.77/2.45 % (952585)Instructions burned: 157 (million)
% 10.77/2.45 % (952605)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=2227178560:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.77/2.45 % (952606)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2184134804:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.77/2.45 % (952590)Instruction limit reached!
% 10.77/2.45 % (952590)------------------------------
% 10.77/2.45 % (952590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952590)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952590)Termination reason: Instruction limit
% 10.77/2.45 % (952590)Termination phase: Saturation
% 10.77/2.45 % (952590)Time elapsed: 0.193 s
% 10.77/2.45 % (952590)Peak memory usage: 92 MB
% 10.77/2.45 % (952590)Instructions burned: 326 (million)
% 10.77/2.45 % (952605)Instruction limit reached!
% 10.77/2.45 % (952605)------------------------------
% 10.77/2.45 % (952605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952605)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952605)Termination reason: Instruction limit
% 10.77/2.45 % (952605)Termination phase: Saturation
% 10.77/2.45 % (952605)Time elapsed: 0.086 s
% 10.77/2.45 % (952605)Peak memory usage: 92 MB
% 10.77/2.45 % (952605)Instructions burned: 248 (million)
% 10.77/2.45 % (952607)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1752597682:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.77/2.45 % (952606)Instruction limit reached!
% 10.77/2.45 % (952606)------------------------------
% 10.77/2.45 % (952606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952606)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952606)Termination reason: Instruction limit
% 10.77/2.45 % (952606)Termination phase: Saturation
% 10.77/2.45 % (952606)Time elapsed: 0.174 s
% 10.77/2.45 % (952606)Peak memory usage: 90 MB
% 10.77/2.45 % (952606)Instructions burned: 295 (million)
% 10.77/2.45 % (952623)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3345332409:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.77/2.45 % (952624)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=225636853:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.77/2.45 % (952624)Refutation not found, incomplete strategy
% 10.77/2.45 % (952624)------------------------------
% 10.77/2.45 % (952624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952624)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952624)Termination reason: Refutation not found, incomplete strategy
% 10.77/2.45 % (952624)Time elapsed: 0.001 s
% 10.77/2.45 % (952624)Peak memory usage: 88 MB
% 10.77/2.45 % (952623)Instruction limit reached!
% 10.77/2.45 % (952623)------------------------------
% 10.77/2.45 % (952623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952623)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952623)Termination reason: Instruction limit
% 10.77/2.45 % (952623)Termination phase: Saturation
% 10.77/2.45 % (952623)Time elapsed: 0.073 s
% 10.77/2.45 % (952623)Peak memory usage: 90 MB
% 10.77/2.45 % (952623)Instructions burned: 114 (million)
% 10.77/2.45 % (952626)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3332221545:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.77/2.45 % (952626)Instruction limit reached!
% 10.77/2.45 % (952626)------------------------------
% 10.77/2.45 % (952626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.45 % (952626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.45 % (952626)CaDiCaL version: 2.1.3
% 10.77/2.45 % (952626)Termination reason: Instruction limit
% 10.77/2.45 % (952626)Termination phase: Saturation
% 10.77/2.45 % (952626)Time elapsed: 0.091 s
% 10.77/2.45 % (952626)Peak memory usage: 89 MB
% 10.77/2.45 % (952626)Instructions burned: 114 (million)
% 10.77/2.45 % (952629)lrs+10_1_sil=8000:sp=occurrence:random_seed=1407034477:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.77/2.45 % (952514)First to succeed.
% 10.77/2.45 % (952514)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-952479"
% 10.77/2.45 % (952624)------------------------------
% 10.77/2.45 % (952624)------------------------------
% 10.77/2.45 % (952512)Also succeeded, but the first one will report.
% 10.77/2.45 % (952639)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4106169659:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.77/2.45 % (952648)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=244438782:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.77/2.45 % (952514)Refutation found. Thanks to Tanya!
% 10.77/2.45 % SZS status Theorem for theBenchmark
% 10.77/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 11.59/2.68 % (952514)------------------------------
% 11.59/2.68 % (952514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.68 % (952514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.68 % (952514)CaDiCaL version: 2.1.3
% 11.59/2.68 % (952514)Termination reason: Refutation
% 11.59/2.68 % (952514)Time elapsed: 0.959 s
% 11.59/2.68 % (952514)Peak memory usage: 133 MB
% 11.59/2.68 % (952514)Instructions burned: 1307 (million)
% 11.59/2.68 % (952514)------------------------------
% 11.59/2.68 % (952514)------------------------------
% 11.59/2.68 % (952479)Success in time 1.569 s
% 11.59/2.68 % Vampire exiting
%------------------------------------------------------------------------------