%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC375+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 : 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 01:03:42 PM UTC 2026
% Result : Theorem 2.69s 1.15s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 75 ( 19 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 81 ( 22 ~; 18 |; 31 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 10 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| X3 != X2
| ! [X4] :
( ssItem(X4)
=> ( ( ~ memberP(X1,X4)
& ~ memberP(X0,X4) )
| ( memberP(X1,X4)
& memberP(X0,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| X3 != X2
| ! [X4] :
( ssItem(X4)
=> ( ( ~ memberP(X1,X4)
& ~ memberP(X0,X4) )
| ( memberP(X1,X4)
& memberP(X0,X4) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& X2 = X3
& ? [X4] :
( ( memberP(X1,X4)
| memberP(X0,X4) )
& ( ~ memberP(X1,X4)
| ~ memberP(X0,X4) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& X2 = X3
& ? [X4] :
( ( memberP(X1,X4)
| memberP(X0,X4) )
& ( ~ memberP(X1,X4)
| ~ memberP(X0,X4) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f217,plain,
( sK7 = sK9
& sK6 = sK8
& sK8 = sK9
& ( memberP(sK7,sK10)
| memberP(sK6,sK10) )
& ( ~ memberP(sK7,sK10)
| ~ memberP(sK6,sK10) )
& ssItem(sK10)
& ssList(sK9)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10)],[f99]) ).
fof(f276,plain,
( ~ memberP(sK7,sK10)
| ~ memberP(sK6,sK10) ),
inference(cnf_transformation,[],[f217]) ).
fof(f277,plain,
( memberP(sK7,sK10)
| memberP(sK6,sK10) ),
inference(cnf_transformation,[],[f217]) ).
fof(f278,plain,
sK8 = sK9,
inference(cnf_transformation,[],[f217]) ).
fof(f279,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f217]) ).
fof(f280,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f217]) ).
fof(f447,plain,
sK6 = sK9,
inference(definition_unfolding,[],[f279,f278]) ).
fof(f448,plain,
( memberP(sK9,sK10)
| memberP(sK9,sK10) ),
inference(definition_unfolding,[],[f277,f280,f447]) ).
fof(f449,plain,
( ~ memberP(sK9,sK10)
| ~ memberP(sK9,sK10) ),
inference(definition_unfolding,[],[f276,f280,f447]) ).
fof(f540,plain,
~ memberP(sK9,sK10),
inference(duplicate_literal_removal,[],[f449]) ).
fof(f541,plain,
memberP(sK9,sK10),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f580,plain,
$false,
inference(resolution,[],[f541,f540]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC375+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:21:04 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.69/1.15 % (3871532)Detected formulas, will run a generic FOF schedule.
% 2.69/1.15 % (3871543)dis-21_1_sil=8000:lcm=predicate:random_seed=329046956: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)
% 2.69/1.15 % (3871543)First to succeed.
% 2.69/1.15 % (3871543)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3871532"
% 2.69/1.15 % (3871539)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=3066428973:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.15 % (3871540)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3656212980:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.15 % (3871538)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=425107172:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.15 % (3871537)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=969856563:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.15 % (3871540)Also succeeded, but the first one will report.
% 2.69/1.15 % (3871541)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3361765084:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.15 % (3871541)Also succeeded, but the first one will report.
% 2.69/1.15 % (3871542)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=200182017:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.15 % (3871542)Also succeeded, but the first one will report.
% 2.69/1.15 % (3871543)Refutation found. Thanks to Tanya!
% 2.69/1.15 % SZS status Theorem for theBenchmark
% 2.69/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.15 % (3871543)------------------------------
% 2.69/1.15 % (3871543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.15 % (3871543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.15 % (3871543)CaDiCaL version: 2.1.3
% 2.69/1.15 % (3871543)Termination reason: Refutation
% 2.69/1.15 % (3871543)Time elapsed: 0.003 s
% 2.69/1.15 % (3871543)Peak memory usage: 88 MB
% 2.69/1.15 % (3871543)Instructions burned: 8 (million)
% 2.69/1.15 % (3871543)------------------------------
% 2.69/1.15 % (3871543)------------------------------
% 2.69/1.15 % (3871532)Success in time 0.289 s
% 2.69/1.15 % Vampire exiting
%------------------------------------------------------------------------------