%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC353-1 : 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 : 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 01:03:36 PM UTC 2026
% Result : Unsatisfiable 0.16s 1.04s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 30 ( 5 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f216,plain,
~ frontsegP(sk4,sk3),
inference(definition_unfolding,[],[f212,f204,f205]) ).
fof(f222,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f320,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f222,f85]) ).
fof(f326,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(superposition,[],[f320,f208]) ).
fof(f332,plain,
( ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[],[f326,f216]) ).
fof(f334,plain,
~ ssList(sk5),
inference(forward_subsumption_resolution,[],[f332,f202]) ).
fof(f335,plain,
$false,
inference(forward_subsumption_resolution,[],[f334,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC353-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n018.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 09:16:25 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 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
% 0.16/1.03 % (3245704)Input is clausal, will run a generic CNF schedule.
% 0.16/1.03 % (3245713)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=847557420:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.03 % (3245713)First to succeed.
% 0.16/1.03 % (3245713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3245704"
% 0.16/1.03 % (3245712)lrs+10_1_sil=8000:sp=occurrence:random_seed=558784378:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.03 % (3245710)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1941492898:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.03 % (3245711)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1204113706:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.03 % (3245709)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=2753452883:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.04 % (3245712)Also succeeded, but the first one will report.
% 0.16/1.04 % (3245715)dis-21_1_sil=8000:lcm=predicate:random_seed=252259932: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)
% 0.16/1.04 % (3245714)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3200340176:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.04 % (3245714)Also succeeded, but the first one will report.
% 0.16/1.04 % (3245715)Instruction limit reached!
% 0.16/1.04 % (3245715)------------------------------
% 0.16/1.04 % (3245715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.04 % (3245715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.04 % (3245715)CaDiCaL version: 2.1.3
% 0.16/1.04 % (3245715)Termination reason: Instruction limit
% 0.16/1.04 % (3245715)Termination phase: Saturation
% 0.16/1.04 % (3245715)Time elapsed: 0.052 s
% 0.16/1.04 % (3245715)Peak memory usage: 89 MB
% 0.16/1.04 % (3245715)Instructions burned: 118 (million)
% 0.16/1.04 % (3245713)Refutation found. Thanks to Tanya!
% 0.16/1.04 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.04 % (3245713)------------------------------
% 0.16/1.04 % (3245713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.04 % (3245713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.04 % (3245713)CaDiCaL version: 2.1.3
% 0.16/1.04 % (3245713)Termination reason: Refutation
% 0.16/1.04 % (3245713)Time elapsed: 0.004 s
% 0.16/1.04 % (3245713)Peak memory usage: 89 MB
% 0.16/1.04 % (3245713)Instructions burned: 7 (million)
% 0.16/1.04 % (3245713)------------------------------
% 0.16/1.04 % (3245713)------------------------------
% 0.16/1.04 % (3245704)Success in time 0.295 s
% 0.16/1.04 % Vampire exiting
%------------------------------------------------------------------------------