%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC043-1 : 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 : n006.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 01:02:10 PM UTC 2026
% Result : Unsatisfiable 3.63s 1.41s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 40 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f209]) ).
fof(f215,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f218,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f215,f206]) ).
fof(f224,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X1 ),
inference(definition_unfolding,[],[f124,f215,f215]) ).
fof(f227,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = X0 ),
inference(definition_unfolding,[],[f73,f215]) ).
fof(f248,plain,
sk3 = app(sk3,sk4),
inference(resolution,[],[f227,f202]) ).
fof(f251,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk3)
| sk4 = sk5 ),
inference(superposition,[],[f224,f210]) ).
fof(f254,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| sk4 = sk5 ),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f255,plain,
( ~ ssList(sk3)
| sk4 = sk5 ),
inference(forward_subsumption_resolution,[],[f254,f208]) ).
fof(f256,plain,
sk4 = sk5,
inference(forward_subsumption_resolution,[],[f255,f202]) ).
fof(f258,plain,
sk4 = app(sk3,sk4),
inference(superposition,[],[f210,f256]) ).
fof(f260,plain,
sk3 = sk4,
inference(forward_demodulation,[],[f258,f248]) ).
fof(f261,plain,
$false,
inference(forward_subsumption_resolution,[],[f260,f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:34:55 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.63/1.41 % (3800953)Input is clausal, will run a generic CNF schedule.
% 3.63/1.41 % (3800960)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4221697153:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.41 % (3800962)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4113019965:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.41 % (3800961)lrs+10_1_sil=8000:sp=occurrence:random_seed=4235592254:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.41 % (3800959)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3783561795:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.41 % (3800958)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=2523953788:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.41 % (3800964)dis-21_1_sil=8000:lcm=predicate:random_seed=367246889: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)
% 3.63/1.41 % (3800963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=490989705:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.41 % (3800961)First to succeed.
% 3.63/1.41 % (3800962)Also succeeded, but the first one will report.
% 3.63/1.41 % (3800961)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3800953"
% 3.63/1.41 % (3800964)Also succeeded, but the first one will report.
% 3.63/1.41 % (3800963)Also succeeded, but the first one will report.
% 3.63/1.41 % (3800961)Refutation found. Thanks to Tanya!
% 3.63/1.41 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.41 % (3800961)------------------------------
% 3.63/1.41 % (3800961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.41 % (3800961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.41 % (3800961)CaDiCaL version: 2.1.3
% 3.63/1.41 % (3800961)Termination reason: Refutation
% 3.63/1.41 % (3800961)Time elapsed: 0.004 s
% 3.63/1.41 % (3800961)Peak memory usage: 88 MB
% 3.63/1.41 % (3800961)Instructions burned: 4 (million)
% 3.63/1.41 % (3800961)------------------------------
% 3.63/1.41 % (3800961)------------------------------
% 3.63/1.41 % (3800953)Success in time 0.443 s
% 3.63/1.41 % Vampire exiting
%------------------------------------------------------------------------------