%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC001+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 : n017.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 01:01:59 PM UTC 2026
% Result : Theorem 0.17s 1.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 131 ( 12 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 163 ( 58 ~; 50 |; 45 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 27 ( 15 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ duplicatefreeP(X2)
| ? [X4] :
( ssItem(X4)
& ( ( ~ memberP(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ( ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X1,X5)
& ~ memberP(X0,X5) )
| ( memberP(X1,X5)
& memberP(X0,X5) ) ) )
& duplicatefreeP(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
| ~ duplicatefreeP(X2)
| ? [X4] :
( ssItem(X4)
& ( ( ~ memberP(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ( ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X1,X5)
& ~ memberP(X0,X5) )
| ( memberP(X1,X5)
& memberP(X0,X5) ) ) )
& duplicatefreeP(X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& duplicatefreeP(X2)
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ( ? [X5] :
( ( memberP(X1,X5)
| memberP(X0,X5) )
& ( ~ memberP(X1,X5)
| ~ memberP(X0,X5) )
& ssItem(X5) )
| ~ duplicatefreeP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& duplicatefreeP(X2)
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ( ? [X5] :
( ( memberP(X1,X5)
| memberP(X0,X5) )
& ( ~ memberP(X1,X5)
| ~ memberP(X0,X5) )
& ssItem(X5) )
| ~ duplicatefreeP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f125,plain,
( sK1 = sK3
& sK0 = sK2
& duplicatefreeP(sK2)
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(sK3,X4)
| ~ memberP(sK2,X4) )
& ( memberP(sK2,X4)
| ~ memberP(sK3,X4) ) ) )
& ( ( ( memberP(sK1,sK4)
| memberP(sK0,sK4) )
& ( ~ memberP(sK1,sK4)
| ~ memberP(sK0,sK4) )
& ssItem(sK4) )
| ~ duplicatefreeP(sK0) )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X5,sK4)],[f99]) ).
fof(f144,plain,
( ssItem(sK4)
| ~ duplicatefreeP(sK0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f145,plain,
( ~ memberP(sK1,sK4)
| ~ memberP(sK0,sK4)
| ~ duplicatefreeP(sK0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f146,plain,
( memberP(sK1,sK4)
| memberP(sK0,sK4)
| ~ duplicatefreeP(sK0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f147,plain,
! [X4] :
( memberP(sK2,X4)
| ~ ssItem(X4)
| ~ memberP(sK3,X4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f148,plain,
! [X4] :
( memberP(sK3,X4)
| ~ ssItem(X4)
| ~ memberP(sK2,X4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f149,plain,
duplicatefreeP(sK2),
inference(cnf_transformation,[],[f125]) ).
fof(f150,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f125]) ).
fof(f151,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f125]) ).
fof(f196,plain,
( memberP(sK3,sK4)
| memberP(sK2,sK4)
| ~ duplicatefreeP(sK2) ),
inference(definition_unfolding,[],[f146,f151,f150,f150]) ).
fof(f197,plain,
( ~ memberP(sK3,sK4)
| ~ memberP(sK2,sK4)
| ~ duplicatefreeP(sK2) ),
inference(definition_unfolding,[],[f145,f151,f150,f150]) ).
fof(f198,plain,
( ssItem(sK4)
| ~ duplicatefreeP(sK2) ),
inference(definition_unfolding,[],[f144,f150]) ).
fof(f210,plain,
ssItem(sK4),
inference(forward_subsumption_resolution,[],[f198,f149]) ).
fof(f211,plain,
( memberP(sK3,sK4)
| memberP(sK2,sK4) ),
inference(forward_subsumption_resolution,[],[f196,f149]) ).
fof(f212,plain,
( ~ memberP(sK3,sK4)
| ~ memberP(sK2,sK4) ),
inference(forward_subsumption_resolution,[],[f197,f149]) ).
fof(f214,plain,
( ~ memberP(sK2,sK4)
| ~ ssItem(sK4)
| ~ memberP(sK2,sK4) ),
inference(resolution,[],[f212,f148]) ).
fof(f215,plain,
( ~ memberP(sK2,sK4)
| ~ ssItem(sK4) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f216,plain,
~ memberP(sK2,sK4),
inference(forward_subsumption_resolution,[],[f215,f210]) ).
fof(f217,plain,
( ~ ssItem(sK4)
| ~ memberP(sK3,sK4) ),
inference(resolution,[],[f216,f147]) ).
fof(f218,plain,
~ memberP(sK3,sK4),
inference(forward_subsumption_resolution,[],[f217,f210]) ).
fof(f219,plain,
memberP(sK2,sK4),
inference(resolution,[],[f218,f211]) ).
fof(f221,plain,
$false,
inference(forward_subsumption_resolution,[],[f219,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC001+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n017.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 28 07:19:36 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 0.17/1.50 % (3370687)Detected formulas, will run a generic FOF schedule.
% 0.17/1.50 % (3370693)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=1522720542:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.50 % (3370697)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3928776124:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.50 % (3370692)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=1251185599:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.50 % (3370695)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2192218366:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.50 % (3370698)dis-21_1_sil=8000:lcm=predicate:random_seed=889043900: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)
% 0.17/1.50 % (3370694)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=568765267:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.50 % (3370696)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1507464870:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.50 % (3370696)First to succeed.
% 0.17/1.50 % (3370696)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3370687"
% 0.17/1.50 % (3370695)Also succeeded, but the first one will report.
% 0.17/1.50 % (3370698)Also succeeded, but the first one will report.
% 0.17/1.50 % (3370697)Also succeeded, but the first one will report.
% 0.17/1.50 % (3370696)Refutation found. Thanks to Tanya!
% 0.17/1.50 % SZS status Theorem for theBenchmark
% 0.17/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (3370696)------------------------------
% 0.17/1.50 % (3370696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (3370696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (3370696)CaDiCaL version: 2.1.3
% 0.17/1.50 % (3370696)Termination reason: Refutation
% 0.17/1.50 % (3370696)Time elapsed: 0.003 s
% 0.17/1.50 % (3370696)Peak memory usage: 88 MB
% 0.17/1.50 % (3370696)Instructions burned: 3 (million)
% 0.17/1.50 % (3370696)------------------------------
% 0.17/1.50 % (3370696)------------------------------
% 0.17/1.50 % (3370687)Success in time 0.42 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------