%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% 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 01:09:05 PM UTC 2026
% Result : Theorem 2.55s 1.08s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 10 unt; 2 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 37 ~; 24 |; 11 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 45 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l19_l20) ).
fof(f43,conjecture,
! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l19_co) ).
fof(f44,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ( check_cpq(triple(X0,X1,X2))
& ok(triple(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ( check_cpq(triple(X0,X1,X2))
& ok(triple(X0,X1,X2)) ) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ok(triple(X3,X4,X5))
& check_cpq(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f57,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ok(triple(X3,X4,X5))
& check_cpq(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(flattening,[],[f56]) ).
fof(f87,plain,
( ok(triple(sK3,sK4,sK5))
& check_cpq(triple(sK3,sK4,sK5))
& succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5))
& ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f57]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f93,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f87]) ).
fof(f94,plain,
succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f87]) ).
fof(f95,plain,
check_cpq(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f87]) ).
fof(f96,plain,
ok(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f87]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ succ_cpq(triple(X0,X1,X2),triple(sK3,sK4,sK5))
| check_cpq(triple(X0,X1,X2)) ),
inference(resolution,[],[f92,f96]) ).
fof(f171,definition,
( spl7_1
<=> ! [X2,X0,X1] :
( ~ succ_cpq(triple(X0,X1,X2),triple(sK3,sK4,sK5))
| check_cpq(triple(X0,X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f172,plain,
( ! [X2,X0,X1] :
( check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(sK3,sK4,sK5)) )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,definition,
( spl7_2
<=> check_cpq(triple(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f175,plain,
( ~ check_cpq(triple(sK3,sK4,sK5))
| spl7_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f168,f174,f171]) ).
fof(f177,plain,
( $false
| spl7_2 ),
inference(resolution,[],[f175,f95]) ).
fof(f178,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f179,plain,
( ~ succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5))
| ~ spl7_1 ),
inference(resolution,[],[f172,f93]) ).
fof(f182,plain,
( $false
| ~ spl7_1 ),
inference(resolution,[],[f179,f94]) ).
fof(f183,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f182]) ).
cnf(s1,plain,
( spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f176]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f178]) ).
cnf(s3,plain,
~ spl7_1,
inference(sat_conversion,[],[f183]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f184,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n019.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 10:47:11 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 2.55/1.08 % (3927249)Detected formulas, will run a generic FOF schedule.
% 2.55/1.08 % (3927260)dis-21_1_sil=8000:lcm=predicate:random_seed=1653944768: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)
% 2.55/1.08 % (3927260)First to succeed.
% 2.55/1.08 % (3927260)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3927249"
% 2.55/1.08 % (3927254)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=82032752:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.55/1.08 % (3927259)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1598001170:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.55/1.08 % (3927258)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3061528830:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.55/1.08 % (3927256)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=4262487180:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.55/1.08 % (3927257)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2340460551:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.55/1.08 % (3927255)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=3030006150:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.55/1.08 % (3927257)Also succeeded, but the first one will report.
% 2.55/1.08 % (3927258)Also succeeded, but the first one will report.
% 2.55/1.08 % (3927259)Also succeeded, but the first one will report.
% 2.55/1.08 % (3927260)Refutation found. Thanks to Tanya!
% 2.55/1.08 % SZS status Theorem for theBenchmark
% 2.55/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.08 % (3927260)------------------------------
% 2.55/1.08 % (3927260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.08 % (3927260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.08 % (3927260)CaDiCaL version: 2.1.3
% 2.55/1.08 % (3927260)Termination reason: Refutation
% 2.55/1.08 % (3927260)Time elapsed: 0.002 s
% 2.55/1.08 % (3927260)Peak memory usage: 89 MB
% 2.55/1.08 % (3927260)Instructions burned: 4 (million)
% 2.55/1.08 % (3927260)------------------------------
% 2.55/1.08 % (3927260)------------------------------
% 2.55/1.08 % (3927249)Success in time 0.286 s
% 2.55/1.08 % Vampire exiting
%------------------------------------------------------------------------------