%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC328+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 : n004.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 01:03:29 PM UTC 2026
% Result : Theorem 2.89s 1.16s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 13 unt; 2 def)
% Number of atoms : 88 ( 18 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 82 ( 27 ~; 21 |; 23 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X2
| X1 != X3
| X0 != X2
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X2
| X1 != X3
| X0 != X2
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X2
& X1 = X3
& X0 = X2
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X2
& X1 = X3
& X0 = X2
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f121,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f216,plain,
( nil = sK8
& sK7 = sK9
& sK6 = sK8
& ( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) )
& ssList(sK9)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9)],[f99]) ).
fof(f269,plain,
ssList(sK9),
inference(cnf_transformation,[],[f216]) ).
fof(f270,plain,
( ~ segmentP(sK7,sK6)
| ~ equalelemsP(sK6) ),
inference(cnf_transformation,[],[f216]) ).
fof(f271,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f216]) ).
fof(f272,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f216]) ).
fof(f273,plain,
nil = sK8,
inference(cnf_transformation,[],[f216]) ).
fof(f300,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f309,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f438,plain,
( ~ segmentP(sK9,sK8)
| ~ equalelemsP(sK8) ),
inference(definition_unfolding,[],[f270,f272,f271,f271]) ).
fof(f454,plain,
! [X0] :
( segmentP(X0,sK8)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f300,f273]) ).
fof(f455,plain,
equalelemsP(sK8),
inference(definition_unfolding,[],[f309,f273]) ).
fof(f614,definition,
( spl50_11
<=> equalelemsP(sK8) ),
introduced(definition,[new_symbols(definition,[spl50_11])],[avatar_definition]) ).
fof(f615,plain,
( ~ equalelemsP(sK8)
| spl50_11 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f617,definition,
( spl50_12
<=> segmentP(sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl50_12])],[avatar_definition]) ).
fof(f618,plain,
( ~ segmentP(sK9,sK8)
| spl50_12 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f619,plain,
( ~ spl50_11
| ~ spl50_12 ),
inference(avatar_split_clause,[],[f438,f617,f614]) ).
fof(f622,plain,
( ~ ssList(sK9)
| spl50_12 ),
inference(resolution,[],[f454,f618]) ).
fof(f623,plain,
( $false
| spl50_12 ),
inference(resolution,[],[f622,f269]) ).
fof(f624,plain,
spl50_12,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f625,plain,
( $false
| spl50_11 ),
inference(resolution,[],[f615,f455]) ).
fof(f626,plain,
spl50_11,
inference(avatar_contradiction_clause,[],[f625]) ).
cnf(s9,plain,
( ~ spl50_11
| ~ spl50_12 ),
inference(sat_conversion,[],[f619]) ).
cnf(s11,plain,
spl50_12,
inference(sat_conversion,[],[f624]) ).
cnf(s12,plain,
spl50_11,
inference(sat_conversion,[],[f626]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s9,s11,s12]) ).
fof(f627,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC328+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n004.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 09:06:07 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 2.89/1.16 % (221490)Detected formulas, will run a generic FOF schedule.
% 2.89/1.16 % (221501)dis-21_1_sil=8000:lcm=predicate:random_seed=1420980813: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)
% 2.89/1.16 % (221501)First to succeed.
% 2.89/1.16 % (221501)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-221490"
% 2.89/1.16 % (221495)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=1394202102:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.89/1.16 % (221496)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=1103362532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.89/1.16 % (221498)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2757518609:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.89/1.16 % (221497)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=1296570364:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.89/1.16 % (221499)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2976336806:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.89/1.16 % (221500)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1273228051:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.89/1.16 % (221499)Also succeeded, but the first one will report.
% 2.89/1.16 % (221498)Also succeeded, but the first one will report.
% 2.89/1.16 % (221500)Also succeeded, but the first one will report.
% 2.89/1.16 % (221501)Refutation found. Thanks to Tanya!
% 2.89/1.16 % SZS status Theorem for theBenchmark
% 2.89/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/1.16 % (221501)------------------------------
% 2.89/1.16 % (221501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.16 % (221501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.16 % (221501)CaDiCaL version: 2.1.3
% 2.89/1.16 % (221501)Termination reason: Refutation
% 2.89/1.16 % (221501)Time elapsed: 0.004 s
% 2.89/1.16 % (221501)Peak memory usage: 89 MB
% 2.89/1.16 % (221501)Instructions burned: 9 (million)
% 2.89/1.16 % (221501)------------------------------
% 2.89/1.16 % (221501)------------------------------
% 2.89/1.16 % (221490)Success in time 0.326 s
% 2.89/1.16 % Vampire exiting
%------------------------------------------------------------------------------