%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC360+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 : n019.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 01:03:37 PM UTC 2026
% Result : Theorem 2.18s 0.79s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 82 ( 12 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 101 ( 31 ~; 24 |; 38 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 21 ( 11 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| segmentP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| segmentP(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ~ segmentP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ~ segmentP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& neq(sK54,nil)
& segmentP(sK56,sK55)
& totalorderedP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ segmentP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ totalorderedP(X4) )
& ~ segmentP(sK54,sK53)
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f500,plain,
~ segmentP(sK54,sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f576,plain,
~ segmentP(sK54,sK55),
inference(superposition,[],[f500,f505]) ).
fof(f578,plain,
segmentP(sK54,sK55),
inference(superposition,[],[f503,f506]) ).
fof(f581,plain,
$false,
inference(forward_subsumption_resolution,[],[f578,f576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC360+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:16:34 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.18/0.79 % (3868478)Detected formulas, will run a generic FOF schedule.
% 2.18/0.79 % (3868488)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3122587209:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.18/0.79 % (3868488)First to succeed.
% 2.18/0.79 % (3868488)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3868478"
% 2.18/0.79 % (3868486)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4096284521:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.18/0.79 % (3868487)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4062652278:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.18/0.79 % (3868485)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1741961817:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.18/0.79 % (3868483)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=2356704024:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.18/0.79 % (3868489)dis-21_1_sil=8000:lcm=predicate:random_seed=1924350151:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.18/0.79 % (3868484)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2820479237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.18/0.79 % (3868487)Also succeeded, but the first one will report.
% 2.18/0.79 % (3868486)Also succeeded, but the first one will report.
% 2.18/0.79 % (3868489)Also succeeded, but the first one will report.
% 2.18/0.79 % (3868488)Refutation found. Thanks to Tanya!
% 2.18/0.79 % SZS status Theorem for theBenchmark
% 2.18/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.79 % (3868488)------------------------------
% 2.18/0.79 % (3868488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.79 % (3868488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.79 % (3868488)CaDiCaL version: 2.1.3
% 2.18/0.79 % (3868488)Termination reason: Refutation
% 2.18/0.79 % (3868488)Time elapsed: 0.004 s
% 2.18/0.79 % (3868488)Peak memory usage: 89 MB
% 2.18/0.79 % (3868488)Instructions burned: 9 (million)
% 2.18/0.79 % (3868488)------------------------------
% 2.18/0.79 % (3868488)------------------------------
% 2.18/0.79 % (3868478)Success in time 0.284 s
% 2.18/0.79 % Vampire exiting
%------------------------------------------------------------------------------