%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC095-1 : 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 : n018.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 01:02:25 PM UTC 2026
% Result : Unsatisfiable 3.33s 1.35s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 35 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 25 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 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,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk1
| app(X0,X2) != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(sk5,sk6),sk7) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk3 = app(app(sk5,sk6),sk7),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
app(sk5,sk7) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
sk4 = app(sk5,sk7),
inference(reorient_equations,[],[f212]) ).
fof(f216,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X2) != sk4 ),
inference(definition_unfolding,[],[f206,f205,f204]) ).
fof(f222,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssList(sk5)
| sk4 != app(sk5,sk7) ),
inference(superposition,[],[f216,f211]) ).
fof(f223,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssList(sk5)
| sk4 != app(sk5,sk7) ),
inference(trivial_inequality_removal,[],[f222]) ).
fof(f224,plain,
( ~ ssList(sk7)
| ~ ssList(sk5)
| sk4 != app(sk5,sk7) ),
inference(forward_subsumption_resolution,[],[f223,f208]) ).
fof(f227,plain,
( ~ ssList(sk5)
| sk4 != app(sk5,sk7) ),
inference(forward_subsumption_resolution,[],[f224,f209]) ).
fof(f237,plain,
sk4 != app(sk5,sk7),
inference(forward_subsumption_resolution,[],[f227,f207]) ).
fof(f238,plain,
$false,
inference(forward_subsumption_resolution,[],[f237,f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC095-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 07:54:06 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 3.33/1.35 % (3215604)Input is clausal, will run a generic CNF schedule.
% 3.33/1.35 % (3215610)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3444206025:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.33/1.35 % (3215612)lrs+10_1_sil=8000:sp=occurrence:random_seed=2223008018:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.33/1.35 % (3215609)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=4188810720:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.33/1.35 % (3215611)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3183834868:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.33/1.35 % (3215612)First to succeed.
% 3.33/1.35 % (3215614)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=669884246:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.33/1.35 % (3215612)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3215604"
% 3.33/1.35 % (3215614)Also succeeded, but the first one will report.
% 3.33/1.35 % (3215615)dis-21_1_sil=8000:lcm=predicate:random_seed=1224418823: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)
% 3.33/1.35 % (3215613)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2636809354:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.33/1.35 % (3215613)Also succeeded, but the first one will report.
% 3.33/1.35 % (3215615)Also succeeded, but the first one will report.
% 3.33/1.35 % (3215612)Refutation found. Thanks to Tanya!
% 3.33/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.33/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.33/1.35 % (3215612)------------------------------
% 3.33/1.35 % (3215612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (3215612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (3215612)CaDiCaL version: 2.1.3
% 3.33/1.35 % (3215612)Termination reason: Refutation
% 3.33/1.35 % (3215612)Time elapsed: 0.003 s
% 3.33/1.35 % (3215612)Peak memory usage: 88 MB
% 3.33/1.35 % (3215612)Instructions burned: 2 (million)
% 3.33/1.35 % (3215612)------------------------------
% 3.33/1.35 % (3215612)------------------------------
% 3.33/1.35 % (3215604)Success in time 0.404 s
% 3.33/1.35 % Vampire exiting
%------------------------------------------------------------------------------