%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE132+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:25 AM UTC 2026
% Result : Theorem 10.62s 2.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 63 unt; 0 def)
% Number of atoms : 78 ( 77 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 74 !; 4 ?)
% 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(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(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
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(f22,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_difference) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f29,conjecture,
! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
? [X0] :
( ? [X2] :
( zero != domain(X2)
& addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
& ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f33,plain,
? [X0] :
( ? [X1] :
( zero != domain(X1)
& forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
& ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) ),
inference(rectify,[],[f31]) ).
fof(f34,plain,
( zero != domain(sK1)
& forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1)))
& ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f33]) ).
fof(f35,plain,
! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))),
inference(cnf_transformation,[],[f34]) ).
fof(f36,plain,
forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))),
inference(cnf_transformation,[],[f34]) ).
fof(f37,plain,
zero != domain(sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f41,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f42,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f44,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f46,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f47,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f50,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f59,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f63,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f64,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f68,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
inference(definition_unfolding,[],[f50,f52]) ).
fof(f69,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f49,f52,f52]) ).
fof(f71,plain,
zero != antidomain(antidomain(sK1)),
inference(definition_unfolding,[],[f37,f52]) ).
fof(f72,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(definition_unfolding,[],[f36,f69,f52,f52,f69,f52]) ).
fof(f73,plain,
! [X2] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))))))))))),
inference(definition_unfolding,[],[f35,f69,f68,f52,f69,f52,f69,f52,f69,f68,f52,f69,f52]) ).
fof(f88,plain,
zero = antidomain(one),
inference(superposition,[],[f44,f64]) ).
fof(f92,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f42,f47]) ).
fof(f104,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f38,f44]) ).
fof(f115,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f104,f47]) ).
fof(f125,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f115,f59]) ).
fof(f136,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f125,f63]) ).
fof(f147,plain,
one = antidomain(antidomain(one)),
inference(superposition,[],[f64,f136]) ).
fof(f148,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f147,f88]) ).
fof(f197,plain,
! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),
inference(superposition,[],[f41,f72]) ).
fof(f213,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f39,f44]) ).
fof(f245,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f213,f92]) ).
fof(f299,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f245,f59]) ).
fof(f311,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f299,f64]) ).
fof(f315,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f311,f136]) ).
fof(f325,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(superposition,[],[f72,f315]) ).
fof(f343,plain,
multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
inference(superposition,[],[f115,f325]) ).
fof(f347,plain,
zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f343,f44]) ).
fof(f592,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),
inference(superposition,[],[f197,f73]) ).
fof(f612,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),
inference(forward_demodulation,[],[f592,f315]) ).
fof(f616,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))))))),
inference(forward_demodulation,[],[f612,f315]) ).
fof(f618,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
inference(forward_demodulation,[],[f616,f347]) ).
fof(f619,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(one)))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(one))))),
inference(forward_demodulation,[],[f618,f148]) ).
fof(f620,plain,
antidomain(antidomain(multiplication(star(sK0),zero))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),zero)))),
inference(forward_demodulation,[],[f619,f88]) ).
fof(f621,plain,
antidomain(antidomain(zero)) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(zero))),
inference(forward_demodulation,[],[f620,f46]) ).
fof(f622,plain,
antidomain(antidomain(zero)) = addition(antidomain(antidomain(zero)),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f621,f42]) ).
fof(f623,plain,
antidomain(one) = addition(antidomain(one),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f622,f148]) ).
fof(f624,plain,
zero = addition(zero,antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f623,f88]) ).
fof(f625,plain,
zero = antidomain(antidomain(sK1)),
inference(forward_demodulation,[],[f624,f92]) ).
fof(f626,plain,
$false,
inference(forward_subsumption_resolution,[],[f625,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE132+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:07:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 10.62/2.47 % (2541926)Detected formulas, will run a generic FOF schedule.
% 10.62/2.47 % (2541945)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=272056543:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.62/2.47 % (2541951)dis-21_1_sil=8000:lcm=predicate:random_seed=140975281: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)
% 10.62/2.47 % (2541946)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=2037910911:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.62/2.47 % (2541951)Refutation not found, incomplete strategy
% 10.62/2.47 % (2541951)------------------------------
% 10.62/2.47 % (2541951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541951)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541951)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.47 % (2541951)Time elapsed: 0.004 s
% 10.62/2.47 % (2541951)Peak memory usage: 88 MB
% 10.62/2.47 % (2541951)Instructions burned: 2 (million)
% 10.62/2.47 % (2541950)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=747035275:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.62/2.47 % (2541949)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3483172289:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.62/2.47 % (2541948)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1022090685:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.62/2.47 % (2541947)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=2167618869:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.62/2.47 % (2541948)Instruction limit reached!
% 10.62/2.47 % (2541948)------------------------------
% 10.62/2.47 % (2541948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541948)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541948)Termination reason: Instruction limit
% 10.62/2.47 % (2541948)Termination phase: Saturation
% 10.62/2.47 % (2541948)Time elapsed: 0.073 s
% 10.62/2.47 % (2541948)Peak memory usage: 88 MB
% 10.62/2.47 % (2541948)Instructions burned: 110 (million)
% 10.62/2.47 % (2541949)Instruction limit reached!
% 10.62/2.47 % (2541949)------------------------------
% 10.62/2.47 % (2541949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541949)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541949)Termination reason: Instruction limit
% 10.62/2.47 % (2541949)Termination phase: Saturation
% 10.62/2.47 % (2541949)Time elapsed: 0.099 s
% 10.62/2.47 % (2541949)Peak memory usage: 89 MB
% 10.62/2.47 % (2541949)Instructions burned: 119 (million)
% 10.62/2.47 % (2541950)Instruction limit reached!
% 10.62/2.47 % (2541950)------------------------------
% 10.62/2.47 % (2541950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541950)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541950)Termination reason: Instruction limit
% 10.62/2.47 % (2541950)Termination phase: Saturation
% 10.62/2.47 % (2541950)Time elapsed: 0.116 s
% 10.62/2.47 % (2541950)Peak memory usage: 89 MB
% 10.62/2.47 % (2541950)Instructions burned: 139 (million)
% 10.62/2.47 % (2541963)lrs+10_1_sil=8000:sp=occurrence:random_seed=3014606048:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.62/2.47 % (2541965)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2607611809:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.62/2.47 % (2541951)------------------------------
% 10.62/2.47 % (2541951)------------------------------
% 10.62/2.47 % (2541966)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1584071006:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.62/2.47 % (2541974)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=667912737:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 10.62/2.47 % (2541965)Instruction limit reached!
% 10.62/2.47 % (2541965)------------------------------
% 10.62/2.47 % (2541965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541965)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541965)Termination reason: Instruction limit
% 10.62/2.47 % (2541965)Termination phase: Saturation
% 10.62/2.47 % (2541965)Time elapsed: 0.153 s
% 10.62/2.47 % (2541965)Peak memory usage: 90 MB
% 10.62/2.47 % (2541965)Instructions burned: 157 (million)
% 10.62/2.47 % (2541963)Instruction limit reached!
% 10.62/2.47 % (2541963)------------------------------
% 10.62/2.47 % (2541963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541963)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541963)Termination reason: Instruction limit
% 10.62/2.47 % (2541963)Termination phase: Saturation
% 10.62/2.47 % (2541963)Time elapsed: 0.269 s
% 10.62/2.47 % (2541963)Peak memory usage: 93 MB
% 10.62/2.47 % (2541963)Instructions burned: 288 (million)
% 10.62/2.47 % (2541974)Instruction limit reached!
% 10.62/2.47 % (2541974)------------------------------
% 10.62/2.47 % (2541974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541974)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541974)Termination reason: Instruction limit
% 10.62/2.47 % (2541974)Termination phase: Saturation
% 10.62/2.47 % (2541974)Time elapsed: 0.107 s
% 10.62/2.47 % (2541974)Peak memory usage: 91 MB
% 10.62/2.47 % (2541974)Instructions burned: 248 (million)
% 10.62/2.47 % (2541966)Instruction limit reached!
% 10.62/2.47 % (2541966)------------------------------
% 10.62/2.47 % (2541966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541966)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541966)Termination reason: Instruction limit
% 10.62/2.47 % (2541966)Termination phase: Saturation
% 10.62/2.47 % (2541966)Time elapsed: 0.265 s
% 10.62/2.47 % (2541966)Peak memory usage: 92 MB
% 10.62/2.47 % (2541966)Instructions burned: 326 (million)
% 10.62/2.47 % (2541977)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4281920646:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.62/2.47 % (2541978)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3986025632:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.62/2.47 % (2541980)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=233744615:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.62/2.47 % (2541980)Instruction limit reached!
% 10.62/2.47 % (2541980)------------------------------
% 10.62/2.47 % (2541980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541980)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541980)Termination reason: Instruction limit
% 10.62/2.47 % (2541980)Termination phase: Saturation
% 10.62/2.47 % (2541980)Time elapsed: 0.056 s
% 10.62/2.47 % (2541980)Peak memory usage: 89 MB
% 10.62/2.47 % (2541980)Instructions burned: 117 (million)
% 10.62/2.47 % (2541983)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=504162458:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.62/2.47 % (2541983)Refutation not found, incomplete strategy
% 10.62/2.47 % (2541983)------------------------------
% 10.62/2.47 % (2541983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541983)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541983)Termination reason: Refutation not found, incomplete strategy
% 10.62/2.47 % (2541983)Time elapsed: 0.003 s
% 10.62/2.47 % (2541983)Peak memory usage: 88 MB
% 10.62/2.47 % (2541983)Instructions burned: 1 (million)
% 10.62/2.47 % (2541977)Instruction limit reached!
% 10.62/2.47 % (2541977)------------------------------
% 10.62/2.47 % (2541977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541977)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541977)Termination reason: Instruction limit
% 10.62/2.47 % (2541977)Termination phase: Saturation
% 10.62/2.47 % (2541977)Time elapsed: 0.255 s
% 10.62/2.47 % (2541977)Peak memory usage: 90 MB
% 10.62/2.47 % (2541977)Instructions burned: 294 (million)
% 10.62/2.47 % (2541946)First to succeed.
% 10.62/2.47 % (2541946)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2541926"
% 10.62/2.47 % (2541987)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2679620778:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.62/2.47 % (2541987)Instruction limit reached!
% 10.62/2.47 % (2541987)------------------------------
% 10.62/2.47 % (2541987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.47 % (2541987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.47 % (2541987)CaDiCaL version: 2.1.3
% 10.62/2.47 % (2541987)Termination reason: Instruction limit
% 10.62/2.47 % (2541987)Termination phase: Saturation
% 10.62/2.47 % (2541987)Time elapsed: 0.087 s
% 10.62/2.47 % (2541987)Peak memory usage: 89 MB
% 10.62/2.47 % (2541987)Instructions burned: 115 (million)
% 10.62/2.47 % (2541993)lrs+10_1_sil=8000:sp=occurrence:random_seed=167715484:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 10.62/2.47 % (2541983)------------------------------
% 10.62/2.47 % (2541983)------------------------------
% 10.62/2.47 % (2541996)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=42625640:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 10.62/2.47 % (2541946)Refutation found. Thanks to Tanya!
% 10.62/2.47 % SZS status Theorem for theBenchmark
% 10.62/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.80 % (2541946)------------------------------
% 0.18/2.80 % (2541946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.80 % (2541946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.80 % (2541946)CaDiCaL version: 2.1.3
% 0.18/2.80 % (2541946)Termination reason: Refutation
% 0.18/2.80 % (2541946)Time elapsed: 0.997 s
% 0.18/2.80 % (2541946)Peak memory usage: 129 MB
% 0.18/2.80 % (2541946)Instructions burned: 1031 (million)
% 0.18/2.80 % (2541946)------------------------------
% 0.18/2.80 % (2541946)------------------------------
% 0.18/2.80 % (2541926)Success in time 1.606 s
% 0.18/2.80 % Vampire exiting
%------------------------------------------------------------------------------