%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC405+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 : n014.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 01:03:50 PM UTC 2026
% Result : Theorem 3.47s 1.32s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 13 unt; 2 def)
% Number of atoms : 104 ( 12 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 111 ( 35 ~; 28 |; 36 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 26 ( 0 sgn 14 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ( ( ~ memberP(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X0,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
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
| ? [X4] :
( ssItem(X4)
& ( ( ~ memberP(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X0,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ? [X5] :
( memberP(X0,X5)
& ~ memberP(X1,X5)
& ssItem(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ? [X5] :
( memberP(X0,X5)
& ~ memberP(X1,X5)
& ssItem(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f217,plain,
( sK7 = sK9
& sK6 = sK8
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(sK9,X4)
| ~ memberP(sK8,X4) )
& ( memberP(sK8,X4)
| ~ memberP(sK9,X4) ) ) )
& memberP(sK6,sK10)
& ~ memberP(sK7,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(X5,sK10)],[f99]) ).
fof(f275,plain,
ssItem(sK10),
inference(cnf_transformation,[],[f217]) ).
fof(f276,plain,
~ memberP(sK7,sK10),
inference(cnf_transformation,[],[f217]) ).
fof(f277,plain,
memberP(sK6,sK10),
inference(cnf_transformation,[],[f217]) ).
fof(f279,plain,
! [X4] :
( memberP(sK9,X4)
| ~ ssItem(X4)
| ~ memberP(sK8,X4) ),
inference(cnf_transformation,[],[f217]) ).
fof(f280,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f217]) ).
fof(f281,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f217]) ).
fof(f448,plain,
memberP(sK8,sK10),
inference(definition_unfolding,[],[f277,f280]) ).
fof(f449,plain,
~ memberP(sK9,sK10),
inference(definition_unfolding,[],[f276,f281]) ).
fof(f577,plain,
( ~ ssItem(sK10)
| ~ memberP(sK8,sK10) ),
inference(resolution,[],[f279,f449]) ).
fof(f581,definition,
( spl49_11
<=> memberP(sK8,sK10) ),
introduced(definition,[new_symbols(definition,[spl49_11])],[avatar_definition]) ).
fof(f582,plain,
( ~ memberP(sK8,sK10)
| spl49_11 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,definition,
( spl49_12
<=> ssItem(sK10) ),
introduced(definition,[new_symbols(definition,[spl49_12])],[avatar_definition]) ).
fof(f585,plain,
( ~ ssItem(sK10)
| spl49_12 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f586,plain,
( ~ spl49_11
| ~ spl49_12 ),
inference(avatar_split_clause,[],[f577,f584,f581]) ).
fof(f587,plain,
( $false
| spl49_11 ),
inference(resolution,[],[f582,f448]) ).
fof(f588,plain,
spl49_11,
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f589,plain,
( $false
| spl49_12 ),
inference(resolution,[],[f585,f275]) ).
fof(f590,plain,
spl49_12,
inference(avatar_contradiction_clause,[],[f589]) ).
cnf(s9,plain,
( ~ spl49_11
| ~ spl49_12 ),
inference(sat_conversion,[],[f586]) ).
cnf(s10,plain,
spl49_11,
inference(sat_conversion,[],[f588]) ).
cnf(s11,plain,
spl49_12,
inference(sat_conversion,[],[f590]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s9,s11,s10]) ).
fof(f591,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC405+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.26 % Computer : n014.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Mon Sep 28 09:30:46 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.31 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
% 3.47/1.32 % (1658144)Detected formulas, will run a generic FOF schedule.
% 3.47/1.32 % (1658155)dis-21_1_sil=8000:lcm=predicate:random_seed=1833157042: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)
% 3.47/1.32 % (1658155)First to succeed.
% 3.47/1.32 % (1658155)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1658144"
% 3.47/1.32 % (1658152)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2425596849:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.32 % (1658154)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2084583580:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.32 % (1658151)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=1237650984:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.32 % (1658153)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1438988552:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.32 % (1658149)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=3124729907:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.32 % (1658150)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=3829487658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.32 % (1658153)Also succeeded, but the first one will report.
% 3.47/1.32 % (1658152)Also succeeded, but the first one will report.
% 3.47/1.32 % (1658154)Also succeeded, but the first one will report.
% 3.47/1.32 % (1658155)Refutation found. Thanks to Tanya!
% 3.47/1.32 % SZS status Theorem for theBenchmark
% 3.47/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.32 % (1658155)------------------------------
% 3.47/1.32 % (1658155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.32 % (1658155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.32 % (1658155)CaDiCaL version: 2.1.3
% 3.47/1.32 % (1658155)Termination reason: Refutation
% 3.47/1.32 % (1658155)Time elapsed: 0.004 s
% 3.47/1.32 % (1658155)Peak memory usage: 90 MB
% 3.47/1.32 % (1658155)Instructions burned: 9 (million)
% 3.47/1.32 % (1658155)------------------------------
% 3.47/1.32 % (1658155)------------------------------
% 3.47/1.32 % (1658144)Success in time 0.383 s
% 3.47/1.32 % Vampire exiting
%------------------------------------------------------------------------------