%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE067+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 : n015.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 5.22s 1.55s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X0,X1] : domain(addition(domain(X0),domain(X1))) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1] : domain(addition(domain(X0),domain(X1))) = addition(domain(X0),domain(X1)),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1] : addition(domain(X0),domain(X1)) != domain(addition(domain(X0),domain(X1))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f34,f28]) ).
fof(f52,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f49,f28]) ).
fof(f65,plain,
domain(addition(sK0,sK1)) != domain(domain(addition(sK0,sK1))),
inference(superposition,[],[f38,f37]) ).
fof(f184,plain,
domain(addition(sK0,sK1)) != domain(addition(sK0,sK1)),
inference(superposition,[],[f65,f52]) ).
fof(f190,plain,
$false,
inference(trivial_inequality_removal,[],[f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE067+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 13:11:46 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 5.22/1.55 % (1659704)Detected formulas, will run a generic FOF schedule.
% 5.22/1.55 % (1659715)dis-21_1_sil=8000:lcm=predicate:random_seed=4129120316: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)
% 5.22/1.55 % (1659715)Refutation not found, incomplete strategy
% 5.22/1.55 % (1659715)------------------------------
% 5.22/1.55 % (1659715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.55 % (1659715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.55 % (1659715)CaDiCaL version: 2.1.3
% 5.22/1.55 % (1659715)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.55 % (1659715)Time elapsed: 0.001 s
% 5.22/1.55 % (1659715)Peak memory usage: 88 MB
% 5.22/1.55 % (1659715)Instructions burned: 1 (million)
% 5.22/1.55 % (1659713)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=114589031:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.22/1.55 % (1659709)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=1132539810:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.22/1.55 % (1659712)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2410534784:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.22/1.55 % (1659710)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=1841722708:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.22/1.55 % (1659714)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1020765533:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.22/1.55 % (1659711)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=3680251196:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.22/1.55 % (1659712)Refutation not found, incomplete strategy
% 5.22/1.55 % (1659712)------------------------------
% 5.22/1.55 % (1659712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.55 % (1659712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.55 % (1659712)CaDiCaL version: 2.1.3
% 5.22/1.55 % (1659712)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.55 % (1659712)Time elapsed: 0.002 s
% 5.22/1.55 % (1659712)Peak memory usage: 88 MB
% 5.22/1.55 % (1659714)First to succeed.
% 5.22/1.55 % (1659714)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1659704"
% 5.22/1.55 % (1659715)------------------------------
% 5.22/1.55 % (1659715)------------------------------
% 5.22/1.55 % (1659713)Instruction limit reached!
% 5.22/1.55 % (1659713)------------------------------
% 5.22/1.55 % (1659713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.55 % (1659713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.55 % (1659713)CaDiCaL version: 2.1.3
% 5.22/1.55 % (1659713)Termination reason: Instruction limit
% 5.22/1.55 % (1659713)Termination phase: Saturation
% 5.22/1.55 % (1659713)Time elapsed: 0.103 s
% 5.22/1.55 % (1659713)Peak memory usage: 88 MB
% 5.22/1.55 % (1659713)Instructions burned: 120 (million)
% 5.22/1.55 % (1659738)lrs+10_1_sil=8000:sp=occurrence:random_seed=2247288897:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.22/1.55 % (1659738)Also succeeded, but the first one will report.
% 5.22/1.55 % (1659712)------------------------------
% 5.22/1.55 % (1659712)------------------------------
% 5.22/1.55 % (1659739)lrs+10_1_sil=32000:urr=on:br=off:random_seed=49007924:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.22/1.55 % (1659714)Refutation found. Thanks to Tanya!
% 5.22/1.55 % SZS status Theorem for theBenchmark
% 5.22/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.22/1.55 % (1659714)------------------------------
% 5.22/1.55 % (1659714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.55 % (1659714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.55 % (1659714)CaDiCaL version: 2.1.3
% 5.22/1.55 % (1659714)Termination reason: Refutation
% 5.22/1.55 % (1659714)Time elapsed: 0.009 s
% 5.22/1.55 % (1659714)Peak memory usage: 89 MB
% 5.22/1.55 % (1659714)Instructions burned: 7 (million)
% 5.22/1.55 % (1659714)------------------------------
% 5.22/1.55 % (1659714)------------------------------
% 5.22/1.55 % (1659704)Success in time 0.675 s
% 5.22/1.55 % Vampire exiting
%------------------------------------------------------------------------------