%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC189-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:02:52 PM UTC 2026
% Result : Unsatisfiable 2.35s 0.93s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 43 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f213,f205]) ).
fof(f221,plain,
( sk3 != sk3
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| sk5 = sk6
| ~ ssItem(sk5) ),
inference(superposition,[],[f207,f217]) ).
fof(f222,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| sk5 = sk6
| ~ ssItem(sk5) ),
inference(trivial_inequality_removal,[],[f221]) ).
fof(f223,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| sk5 = sk6
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[],[f222,f209]) ).
fof(f224,plain,
( ~ ssList(sk8)
| sk5 = sk6
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[],[f223,f210]) ).
fof(f225,plain,
( sk5 = sk6
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[],[f224,f211]) ).
fof(f226,plain,
~ ssItem(sk5),
inference(forward_subsumption_resolution,[],[f225,f214]) ).
fof(f227,plain,
$false,
inference(forward_subsumption_resolution,[],[f226,f208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC189-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 08:21:34 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 2.35/0.93 % (3233004)Input is clausal, will run a generic CNF schedule.
% 2.35/0.93 % (3233014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3816957588:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.35/0.93 % (3233010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1857258826:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.35/0.93 % (3233013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4286760702:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.35/0.93 % (3233015)dis-21_1_sil=8000:lcm=predicate:random_seed=419632269: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)
% 2.35/0.93 % (3233011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1456160929:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.35/0.93 % (3233009)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=1801871413:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.35/0.93 % (3233012)lrs+10_1_sil=8000:sp=occurrence:random_seed=1399400960:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.35/0.93 % (3233013)Also succeeded, but the first one will report.
% 2.35/0.93 % (3233012)First to succeed.
% 2.35/0.93 % (3233012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3233004"
% 2.35/0.93 % (3233014)Also succeeded, but the first one will report.
% 2.35/0.93 % (3233015)Also succeeded, but the first one will report.
% 2.35/0.93 % (3233012)Refutation found. Thanks to Tanya!
% 2.35/0.93 % SZS status Unsatisfiable for theBenchmark
% 2.35/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.93 % (3233012)------------------------------
% 2.35/0.93 % (3233012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.93 % (3233012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.93 % (3233012)CaDiCaL version: 2.1.3
% 2.35/0.93 % (3233012)Termination reason: Refutation
% 2.35/0.93 % (3233012)Time elapsed: 0.002 s
% 2.35/0.93 % (3233012)Peak memory usage: 88 MB
% 2.35/0.93 % (3233012)Instructions burned: 2 (million)
% 2.35/0.93 % (3233012)------------------------------
% 2.35/0.93 % (3233012)------------------------------
% 2.35/0.93 % (3233004)Success in time 0.303 s
% 2.35/0.93 % Vampire exiting
%------------------------------------------------------------------------------