%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT052-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 2.58s 1.37s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 6 unt; 1 def)
% Number of atoms : 8 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f649,negated_conjecture,
v_b____ != v_c____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f650,negated_conjecture,
v_b____ = v_c____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f755,plain,
v_c____ != v_c____,
inference(definition_unfolding,[],[f649,f650]) ).
fof(f758,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f988,plain,
~ sQ0_eqProxy(v_c____,v_c____),
inference(equality_proxy_replacement,[],[f755,f758]) ).
fof(f992,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f758]) ).
fof(f1024,plain,
$false,
inference(resolution,[],[f992,f988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT052-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:35:57 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.58/1.37 % (1049388)Input is clausal, will run a generic CNF schedule.
% 2.58/1.37 % (1049399)dis-21_1_sil=8000:lcm=predicate:random_seed=4014457189:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.58/1.37 % (1049399)First to succeed.
% 2.58/1.37 % (1049399)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1049388"
% 2.58/1.37 % (1049396)lrs+10_1_sil=8000:sp=occurrence:random_seed=2420119440:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.58/1.37 % (1049393)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=196246835:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.58/1.37 % (1049394)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2602271241:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.58/1.37 % (1049397)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3970439276:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.58/1.37 % (1049395)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=19899573:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.58/1.37 % (1049396)Also succeeded, but the first one will report.
% 2.58/1.37 % (1049397)Also succeeded, but the first one will report.
% 2.58/1.37 % (1049398)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=525449834:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.58/1.37 % (1049398)Also succeeded, but the first one will report.
% 2.58/1.37 % (1049399)Refutation found. Thanks to Tanya!
% 2.58/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.58/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.37 % (1049399)------------------------------
% 2.58/1.37 % (1049399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.37 % (1049399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.37 % (1049399)CaDiCaL version: 2.1.3
% 2.58/1.37 % (1049399)Termination reason: Refutation
% 2.58/1.37 % (1049399)Time elapsed: 0.010 s
% 2.58/1.37 % (1049399)Peak memory usage: 89 MB
% 2.58/1.37 % (1049399)Instructions burned: 38 (million)
% 2.58/1.37 % (1049399)------------------------------
% 2.58/1.37 % (1049399)------------------------------
% 2.58/1.37 % (1049388)Success in time 0.309 s
% 2.58/1.38 % Vampire exiting
%------------------------------------------------------------------------------