%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC375-1 : TPTP v9.3.1. Released v2.4.0.
% 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 01:03:42 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.29s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk4 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
sk3 = sk4,
inference(reorient_equations,[],[f206]) ).
fof(f209,negated_conjecture,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
sk1 = sk4,
inference(definition_unfolding,[],[f205,f207]) ).
fof(f215,plain,
( memberP(sk4,sk5)
| memberP(sk4,sk5) ),
inference(definition_unfolding,[],[f209,f204,f211]) ).
fof(f216,plain,
( ~ memberP(sk4,sk5)
| ~ memberP(sk4,sk5) ),
inference(definition_unfolding,[],[f210,f204,f211]) ).
fof(f223,plain,
~ memberP(sk4,sk5),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f224,plain,
memberP(sk4,sk5),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f225,plain,
$false,
inference(forward_subsumption_resolution,[],[f224,f223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC375-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:20:37 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.58/1.29 % (1045402)Input is clausal, will run a generic CNF schedule.
% 3.58/1.29 % (1045407)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=2659357614:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.29 % (1045412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=599164649:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.29 % (1045410)lrs+10_1_sil=8000:sp=occurrence:random_seed=3776058747:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.29 % (1045408)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4020383742:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.29 % (1045411)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2290394117:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.29 % (1045413)dis-21_1_sil=8000:lcm=predicate:random_seed=1511943227: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)
% 3.58/1.29 % (1045409)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3373738102:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.29 % (1045411)Also succeeded, but the first one will report.
% 3.58/1.29 % (1045410)First to succeed.
% 3.58/1.29 % (1045410)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1045402"
% 3.58/1.29 % (1045413)Also succeeded, but the first one will report.
% 3.58/1.29 % (1045412)Also succeeded, but the first one will report.
% 3.58/1.29 % (1045410)Refutation found. Thanks to Tanya!
% 3.58/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.29 % (1045410)------------------------------
% 3.58/1.29 % (1045410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.29 % (1045410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.29 % (1045410)CaDiCaL version: 2.1.3
% 3.58/1.29 % (1045410)Termination reason: Refutation
% 3.58/1.29 % (1045410)Time elapsed: 0.002 s
% 3.58/1.29 % (1045410)Peak memory usage: 88 MB
% 3.58/1.29 % (1045410)Instructions burned: 2 (million)
% 3.58/1.29 % (1045410)------------------------------
% 3.58/1.29 % (1045410)------------------------------
% 3.58/1.29 % (1045402)Success in time 0.428 s
% 3.58/1.29 % Vampire exiting
%------------------------------------------------------------------------------