%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE051+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 : 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 11:40:12 AM UTC 2026
% Result : Theorem 6.21s 2.33s
% Output : Refutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f18,conjecture,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] : addition(X0,X0) = X0,
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] : addition(X0,X0) != X0,
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
sK0 != addition(sK0,sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f22,plain,
sK0 != addition(sK0,sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
sK0 != sK0,
inference(superposition,[],[f22,f23]) ).
fof(f27,plain,
$false,
inference(trivial_inequality_removal,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n015.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 13:10:30 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.53 Running first-order theorem proving
% 0.25/0.53 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
% 6.21/2.33 % (1655554)Detected formulas, will run a generic FOF schedule.
% 6.21/2.33 % (1655559)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=287696260:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.21/2.33 % (1655560)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=1206228942:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.21/2.33 % (1655561)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=1531156043:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.21/2.33 % (1655562)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2096529128:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.21/2.33 % (1655563)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3479332944:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.21/2.33 % (1655562)Also succeeded, but the first one will report.
% 6.21/2.33 % (1655563)First to succeed.
% 6.21/2.33 % (1655563)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1655554"
% 6.21/2.33 % (1655565)dis-21_1_sil=8000:lcm=predicate:random_seed=3421698784: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)
% 6.21/2.33 % (1655564)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2547619877:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.21/2.33 % (1655565)Also succeeded, but the first one will report.
% 6.21/2.33 % (1655564)Also succeeded, but the first one will report.
% 6.21/2.33 % (1655563)Refutation found. Thanks to Tanya!
% 6.21/2.33 % SZS status Theorem for theBenchmark
% 6.21/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 6.21/2.33 % (1655563)------------------------------
% 6.21/2.33 % (1655563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.33 % (1655563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.33 % (1655563)CaDiCaL version: 2.1.3
% 6.21/2.33 % (1655563)Termination reason: Refutation
% 6.21/2.33 % (1655563)Time elapsed: 0.002 s
% 6.21/2.33 % (1655563)Peak memory usage: 88 MB
% 6.21/2.33 % (1655563)------------------------------
% 6.21/2.33 % (1655563)------------------------------
% 6.21/2.33 % (1655554)Success in time 0.717 s
% 6.21/2.33 % Vampire exiting
%------------------------------------------------------------------------------