%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE133+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 : n001.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 2.48s 1.29s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 45 unt; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 8 ~; 0 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 17 ( 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 : 80 ( 74 !; 6 ?)
% 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(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f22,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_difference) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f29,conjecture,
! [X0] :
( ( ! [X1] : addition(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] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
=> ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ( ! [X1] : addition(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] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
=> ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
? [X0] :
( ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))))
& ! [X1] : addition(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] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f32,plain,
? [X0] :
( ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))))
& ! [X1] : addition(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] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) ),
inference(flattening,[],[f31]) ).
fof(f34,plain,
? [X0] :
( ? [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) != addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
& ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(domain(X2),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))))
& ! [X3] : forward_diamond(X0,domain(X3)) = forward_diamond(X0,forward_diamond(X0,domain(X3))) ),
inference(rectify,[],[f32]) ).
fof(f35,plain,
( forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) != addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))))
& ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(domain(X2),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))))
& ! [X3] : forward_diamond(sK0,domain(X3)) = forward_diamond(sK0,forward_diamond(sK0,domain(X3))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f34]) ).
fof(f36,plain,
! [X3] : forward_diamond(sK0,domain(X3)) = forward_diamond(sK0,forward_diamond(sK0,domain(X3))),
inference(cnf_transformation,[],[f35]) ).
fof(f37,plain,
! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(domain(X2),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))),
inference(cnf_transformation,[],[f35]) ).
fof(f38,plain,
forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) != addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1))))),
inference(cnf_transformation,[],[f35]) ).
fof(f42,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f43,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f45,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f52,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f54,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f58,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f62,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
inference(definition_unfolding,[],[f46,f48]) ).
fof(f67,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f45,f48,f48]) ).
fof(f69,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(multiplication(sK0,antidomain(antidomain(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(definition_unfolding,[],[f38,f67,f66,f48,f67,f48,f67,f48,f67,f66,f48,f67,f48]) ).
fof(f70,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(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,[],[f37,f67,f66,f48,f67,f48,f48,f67,f66,f48,f67,f48]) ).
fof(f71,plain,
! [X3] : antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X3))))))) = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X3)))))))))))),
inference(definition_unfolding,[],[f36,f67,f48,f67,f67,f48]) ).
fof(f79,plain,
! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))),
inference(superposition,[],[f70,f71]) ).
fof(f80,plain,
! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
inference(forward_demodulation,[],[f79,f54]) ).
fof(f81,plain,
! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))),
inference(forward_demodulation,[],[f80,f43]) ).
fof(f87,plain,
zero = antidomain(one),
inference(superposition,[],[f58,f54]) ).
fof(f96,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f62,f43]) ).
fof(f105,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f52,f87]) ).
fof(f110,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f105,f62]) ).
fof(f142,plain,
! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1)) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))),X1),
inference(superposition,[],[f42,f81]) ).
fof(f156,plain,
! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(one)))),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1)) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(one)))),X1),
inference(forward_demodulation,[],[f142,f110]) ).
fof(f158,plain,
! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),zero))),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1)) = addition(antidomain(antidomain(multiplication(star(sK0),zero))),X1),
inference(forward_demodulation,[],[f156,f87]) ).
fof(f160,plain,
! [X0,X1] : addition(antidomain(antidomain(zero)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1)) = addition(antidomain(antidomain(zero)),X1),
inference(forward_demodulation,[],[f158,f61]) ).
fof(f161,plain,
! [X0,X1] : addition(antidomain(one),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1)) = addition(antidomain(one),X1),
inference(forward_demodulation,[],[f160,f110]) ).
fof(f162,plain,
! [X0,X1] : addition(zero,X1) = addition(zero,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1)),
inference(forward_demodulation,[],[f161,f87]) ).
fof(f163,plain,
! [X0,X1] : addition(zero,X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1),
inference(forward_demodulation,[],[f162,f96]) ).
fof(f164,plain,
! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),X1) = X1,
inference(forward_demodulation,[],[f163,f96]) ).
fof(f176,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(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,[],[f69,f164]) ).
fof(f182,plain,
$false,
inference(trivial_inequality_removal,[],[f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE133+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:18:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 2.48/1.29 % (3565717)Detected formulas, will run a generic FOF schedule.
% 2.48/1.29 % (3565845)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=968164536:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.48/1.29 % (3565842)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=3430661162:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.48/1.29 % (3565844)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=2829544773:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.48/1.29 % (3565845)Instruction limit reached!
% 2.48/1.29 % (3565845)------------------------------
% 2.48/1.29 % (3565845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.29 % (3565845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.29 % (3565845)CaDiCaL version: 2.1.3
% 2.48/1.29 % (3565845)Termination reason: Instruction limit
% 2.48/1.29 % (3565845)Termination phase: Saturation
% 2.48/1.29 % (3565845)Time elapsed: 0.034 s
% 2.48/1.29 % (3565845)Peak memory usage: 89 MB
% 2.48/1.29 % (3565845)Instructions burned: 111 (million)
% 2.48/1.29 % (3565843)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=4080403586:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.48/1.29 % (3565847)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1303696228:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.48/1.29 % (3565848)dis-21_1_sil=8000:lcm=predicate:random_seed=1811855966: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)
% 2.48/1.29 % (3565846)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=46280284:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.48/1.29 % (3565848)Refutation not found, incomplete strategy
% 2.48/1.29 % (3565848)------------------------------
% 2.48/1.29 % (3565848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.29 % (3565848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.29 % (3565848)CaDiCaL version: 2.1.3
% 2.48/1.29 % (3565848)Termination reason: Refutation not found, incomplete strategy
% 2.48/1.29 % (3565848)Time elapsed: 0.002 s
% 2.48/1.29 % (3565848)Peak memory usage: 88 MB
% 2.48/1.29 % (3565848)Instructions burned: 2 (million)
% 2.48/1.29 % (3565846)Instruction limit reached!
% 2.48/1.29 % (3565846)------------------------------
% 2.48/1.29 % (3565846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.29 % (3565846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.29 % (3565846)CaDiCaL version: 2.1.3
% 2.48/1.29 % (3565846)Termination reason: Instruction limit
% 2.48/1.29 % (3565846)Termination phase: Saturation
% 2.48/1.29 % (3565846)Time elapsed: 0.067 s
% 2.48/1.29 % (3565846)Peak memory usage: 88 MB
% 2.48/1.29 % (3565846)Instructions burned: 119 (million)
% 2.48/1.29 % (3565847)Instruction limit reached!
% 2.48/1.29 % (3565847)------------------------------
% 2.48/1.29 % (3565847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.29 % (3565847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.29 % (3565847)CaDiCaL version: 2.1.3
% 2.48/1.29 % (3565847)Termination reason: Instruction limit
% 2.48/1.29 % (3565847)Termination phase: Saturation
% 2.48/1.29 % (3565847)Time elapsed: 0.086 s
% 2.48/1.29 % (3565847)Peak memory usage: 89 MB
% 2.48/1.29 % (3565847)Instructions burned: 140 (million)
% 2.48/1.29 % (3565878)lrs+10_1_sil=8000:sp=occurrence:random_seed=552454988:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.48/1.29 % (3565878)First to succeed.
% 2.48/1.29 % (3565878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3565717"
% 2.48/1.29 % (3565904)lrs+10_1_sil=32000:urr=on:br=off:random_seed=248759217:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.48/1.29 % (3565905)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2374105242:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.48/1.29 % (3565905)Also succeeded, but the first one will report.
% 2.48/1.29 % (3565848)------------------------------
% 2.48/1.29 % (3565848)------------------------------
% 2.48/1.29 % (3565878)Refutation found. Thanks to Tanya!
% 2.48/1.29 % SZS status Theorem for theBenchmark
% 2.48/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.38 % (3565878)------------------------------
% 3.52/1.38 % (3565878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.38 % (3565878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.38 % (3565878)CaDiCaL version: 2.1.3
% 3.52/1.38 % (3565878)Termination reason: Refutation
% 3.52/1.38 % (3565878)Time elapsed: 0.005 s
% 3.52/1.38 % (3565878)Peak memory usage: 89 MB
% 3.52/1.38 % (3565878)Instructions burned: 12 (million)
% 3.52/1.38 % (3565878)------------------------------
% 3.52/1.38 % (3565878)------------------------------
% 3.52/1.38 % (3565717)Success in time 0.421 s
% 3.52/1.38 % Vampire exiting
%------------------------------------------------------------------------------