%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM634+3 : 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 : n002.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 12:16:05 PM UTC 2026
% Result : ContradictoryAxioms 2.50s 6.96s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,axiom,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f79,axiom,
xK = sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
fof(f260,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f261,plain,
sz00 = xK,
inference(cnf_transformation,[],[f79]) ).
fof(f338,plain,
xK != xK,
inference(definition_unfolding,[],[f260,f261]) ).
fof(f368,plain,
$false,
inference(trivial_inequality_removal,[],[f338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM634+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/6.01 % Computer : n002.cluster.edu
% 0.10/6.01 % Model : x86_64 x86_64
% 0.10/6.01 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/6.01 % Memory : 8046.5625MB
% 0.10/6.01 % OS : Linux 6.8.0-71-generic
% 0.10/6.01 % CPULimit : 300
% 0.10/6.01 % WCLimit : 300
% 0.10/6.01 % DateTime : Sun Sep 27 20:54:15 UTC 2026
% 0.10/6.02 % CPUTime :
% 0.10/6.02 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/6.05 Running first-order theorem proving
% 0.16/6.05 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
% 2.50/6.96 % (3864432)Detected formulas, will run a generic FOF schedule.
% 2.50/6.96 % (3864441)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3246973860:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/6.96 % (3864441)First to succeed.
% 2.50/6.96 % (3864441)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3864432"
% 2.50/6.96 % (3864437)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=1825117478:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/6.96 % (3864439)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=3873733357:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/6.96 % (3864440)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2425468492:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/6.96 % (3864438)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=1338397259:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/6.96 % (3864440)Also succeeded, but the first one will report.
% 2.50/6.96 % (3864442)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=811411468:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/6.96 % (3864443)dis-21_1_sil=8000:lcm=predicate:random_seed=660231585: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)
% 2.50/6.96 % (3864443)Also succeeded, but the first one will report.
% 2.50/6.96 % (3864442)Also succeeded, but the first one will report.
% 2.50/6.96 % (3864441)Refutation found. Thanks to Tanya!
% 2.50/6.96 % SZS status ContradictoryAxioms for theBenchmark
% 2.50/6.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/6.96 % (3864441)------------------------------
% 2.50/6.96 % (3864441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/6.96 % (3864441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/6.96 % (3864441)CaDiCaL version: 2.1.3
% 2.50/6.96 % (3864441)Termination reason: Refutation
% 2.50/6.96 % (3864441)Time elapsed: 0.002 s
% 2.50/6.96 % (3864441)Peak memory usage: 88 MB
% 2.50/6.96 % (3864441)Instructions burned: 5 (million)
% 2.50/6.96 % (3864441)------------------------------
% 2.50/6.96 % (3864441)------------------------------
% 2.50/6.96 % (3864432)Success in time 0.277 s
% 2.50/6.96 % Vampire exiting
%------------------------------------------------------------------------------