%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE071+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 : n013.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 11:40:15 AM UTC 2026
% Result : Theorem 4.34s 1.62s
% Output : Refutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 94 ( 91 !; 3 ?)
% 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(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] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) != multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f20]) ).
fof(f22,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
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,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(addition(domain(sK0),domain(sK1)),domain(addition(sK0,sK2))),
inference(forward_demodulation,[],[f22,f35]) ).
fof(f40,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(domain(addition(sK0,sK1)),domain(addition(sK0,sK2))),
inference(forward_demodulation,[],[f39,f35]) ).
fof(f47,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f26,f32]) ).
fof(f49,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f32]) ).
fof(f51,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f47,f32]) ).
fof(f76,plain,
! [X0,X1] : addition(multiplication(domain(X0),X0),X1) = addition(X0,addition(multiplication(domain(X0),X0),X1)),
inference(superposition,[],[f24,f27]) ).
fof(f79,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f24,f31]) ).
fof(f117,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,[],[f79,f30]) ).
fof(f338,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f25,f37]) ).
fof(f412,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),X0) = addition(X0,multiplication(addition(domain(X0),X1),X0)),
inference(superposition,[],[f76,f30]) ).
fof(f441,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),X0) = multiplication(addition(one,addition(domain(X0),X1)),X0),
inference(forward_demodulation,[],[f412,f49]) ).
fof(f748,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X0) = multiplication(addition(one,domain(addition(X0,X1))),X0),
inference(superposition,[],[f441,f35]) ).
fof(f803,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(domain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f748,f338]) ).
fof(f815,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f803,f32]) ).
fof(f847,plain,
! [X0,X1] : domain(X0) = multiplication(domain(domain(addition(X0,X1))),domain(X0)),
inference(superposition,[],[f815,f35]) ).
fof(f874,plain,
! [X0,X1] : domain(X0) = multiplication(domain(addition(X0,X1)),domain(X0)),
inference(forward_demodulation,[],[f847,f51]) ).
fof(f910,plain,
! [X2,X0,X1] : multiplication(domain(addition(X0,X1)),addition(domain(X0),X2)) = addition(domain(X0),multiplication(domain(addition(X0,X1)),X2)),
inference(superposition,[],[f31,f874]) ).
fof(f1538,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X2),domain(X1))) = addition(multiplication(X0,one),multiplication(X2,domain(X1))),
inference(superposition,[],[f117,f338]) ).
fof(f1545,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(X0,X2),domain(X1))) = addition(X0,multiplication(X2,domain(X1))),
inference(forward_demodulation,[],[f1538,f33]) ).
fof(f1567,plain,
! [X2,X0,X1] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = addition(domain(X0),multiplication(domain(addition(X0,X1)),domain(X2))),
inference(superposition,[],[f1545,f35]) ).
fof(f1610,plain,
! [X2,X0,X1] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(domain(addition(X0,X1)),addition(domain(X0),domain(X2))),
inference(forward_demodulation,[],[f1567,f910]) ).
fof(f1628,plain,
! [X2,X0,X1] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(domain(addition(X0,X1)),domain(addition(X0,X2))),
inference(forward_demodulation,[],[f1610,f35]) ).
fof(f1710,plain,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(domain(sK0),multiplication(domain(sK1),domain(sK2))),
inference(superposition,[],[f40,f1628]) ).
fof(f1731,plain,
$false,
inference(trivial_inequality_removal,[],[f1710]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE071+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 : n013.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 13:08:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.34/1.62 % (213536)Detected formulas, will run a generic FOF schedule.
% 4.34/1.62 % (213656)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=1616409360:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.34/1.62 % (213666)dis-21_1_sil=8000:lcm=predicate:random_seed=720638120: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)
% 4.34/1.62 % (213666)Refutation not found, incomplete strategy
% 4.34/1.62 % (213666)------------------------------
% 4.34/1.62 % (213666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213666)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213666)Termination reason: Refutation not found, incomplete strategy
% 4.34/1.62 % (213666)Time elapsed: 0.001 s
% 4.34/1.62 % (213666)Peak memory usage: 88 MB
% 4.34/1.62 % (213666)Instructions burned: 1 (million)
% 4.34/1.62 % (213664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1272377924:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.34/1.62 % (213655)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=4279933482:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.34/1.62 % (213660)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2756682085:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.34/1.62 % (213658)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=614422680:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.34/1.62 % (213662)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1842604858:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.34/1.62 % (213660)Refutation not found, incomplete strategy
% 4.34/1.62 % (213660)------------------------------
% 4.34/1.62 % (213660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213660)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213660)Termination reason: Refutation not found, incomplete strategy
% 4.34/1.62 % (213660)Time elapsed: 0.001 s
% 4.34/1.62 % (213660)Peak memory usage: 88 MB
% 4.34/1.62 % (213660)Instructions burned: 1 (million)
% 4.34/1.62 % (213662)Instruction limit reached!
% 4.34/1.62 % (213662)------------------------------
% 4.34/1.62 % (213662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213662)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213662)Termination reason: Instruction limit
% 4.34/1.62 % (213662)Termination phase: Saturation
% 4.34/1.62 % (213662)Time elapsed: 0.065 s
% 4.34/1.62 % (213662)Peak memory usage: 88 MB
% 4.34/1.62 % (213662)Instructions burned: 119 (million)
% 4.34/1.62 % (213664)Instruction limit reached!
% 4.34/1.62 % (213664)------------------------------
% 4.34/1.62 % (213664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213664)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213664)Termination reason: Instruction limit
% 4.34/1.62 % (213664)Termination phase: Saturation
% 4.34/1.62 % (213664)Time elapsed: 0.079 s
% 4.34/1.62 % (213664)Peak memory usage: 89 MB
% 4.34/1.62 % (213664)Instructions burned: 139 (million)
% 4.34/1.62 % (213707)lrs+10_1_sil=8000:sp=occurrence:random_seed=2863922348:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.34/1.62 % (213708)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1036103474:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.34/1.62 % (213666)------------------------------
% 4.34/1.62 % (213666)------------------------------
% 4.34/1.62 % (213660)------------------------------
% 4.34/1.62 % (213660)------------------------------
% 4.34/1.62 % (213708)Instruction limit reached!
% 4.34/1.62 % (213708)------------------------------
% 4.34/1.62 % (213708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213708)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213708)Termination reason: Instruction limit
% 4.34/1.62 % (213708)Termination phase: Saturation
% 4.34/1.62 % (213708)Time elapsed: 0.092 s
% 4.34/1.62 % (213708)Peak memory usage: 90 MB
% 4.34/1.62 % (213708)Instructions burned: 157 (million)
% 4.34/1.62 % (213707)Instruction limit reached!
% 4.34/1.62 % (213707)------------------------------
% 4.34/1.62 % (213707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213707)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213707)Termination reason: Instruction limit
% 4.34/1.62 % (213707)Termination phase: Saturation
% 4.34/1.62 % (213707)Time elapsed: 0.171 s
% 4.34/1.62 % (213707)Peak memory usage: 91 MB
% 4.34/1.62 % (213707)Instructions burned: 286 (million)
% 4.34/1.62 % (213712)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=3365197328:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.34/1.62 % (213711)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1893848796:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.34/1.62 % (213713)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1001779938:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.34/1.62 % (213713)Refutation not found, incomplete strategy
% 4.34/1.62 % (213713)------------------------------
% 4.34/1.62 % (213713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213713)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213713)Termination reason: Refutation not found, incomplete strategy
% 4.34/1.62 % (213713)Time elapsed: 0.002 s
% 4.34/1.62 % (213713)Peak memory usage: 88 MB
% 4.34/1.62 % (213713)Instructions burned: 1 (million)
% 4.34/1.62 % (213656)First to succeed.
% 4.34/1.62 % (213656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-213536"
% 4.34/1.62 % (213716)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1849209854:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.34/1.62 % (213712)Instruction limit reached!
% 4.34/1.62 % (213712)------------------------------
% 4.34/1.62 % (213712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213712)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213712)Termination reason: Instruction limit
% 4.34/1.62 % (213712)Termination phase: Saturation
% 4.34/1.62 % (213712)Time elapsed: 0.151 s
% 4.34/1.62 % (213712)Peak memory usage: 91 MB
% 4.34/1.62 % (213712)Instructions burned: 248 (million)
% 4.34/1.62 % (213711)Instruction limit reached!
% 4.34/1.62 % (213711)------------------------------
% 4.34/1.62 % (213711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213711)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213711)Termination reason: Instruction limit
% 4.34/1.62 % (213711)Termination phase: Saturation
% 4.34/1.62 % (213711)Time elapsed: 0.196 s
% 4.34/1.62 % (213711)Peak memory usage: 91 MB
% 4.34/1.62 % (213711)Instructions burned: 326 (million)
% 4.34/1.62 % (213658)Refutation not found, incomplete strategy
% 4.34/1.62 % (213658)------------------------------
% 4.34/1.62 % (213658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.62 % (213658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.62 % (213658)CaDiCaL version: 2.1.3
% 4.34/1.62 % (213658)Termination reason: Refutation not found, incomplete strategy
% 4.34/1.62 % (213658)Time elapsed: 0.597 s
% 4.34/1.62 % (213658)Peak memory usage: 128 MB
% 4.34/1.62 % (213658)Instructions burned: 891 (million)
% 4.34/1.62 % (213656)Refutation found. Thanks to Tanya!
% 4.34/1.62 % SZS status Theorem for theBenchmark
% 4.34/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 6.02/1.81 % (213656)------------------------------
% 6.02/1.81 % (213656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.81 % (213656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.81 % (213656)CaDiCaL version: 2.1.3
% 6.02/1.81 % (213656)Termination reason: Refutation
% 6.02/1.81 % (213656)Time elapsed: 0.484 s
% 6.02/1.81 % (213656)Peak memory usage: 131 MB
% 6.02/1.81 % (213656)Instructions burned: 1154 (million)
% 6.02/1.81 % (213656)------------------------------
% 6.02/1.81 % (213656)------------------------------
% 6.02/1.81 % (213536)Success in time 0.77 s
% 6.02/1.81 % Vampire exiting
%------------------------------------------------------------------------------