%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV385+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 : n026.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 0.21s 1.20s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 10 unt; 2 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 37 ~; 24 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_li1316) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_li2225) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_co) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
? [X0,X1,X2] :
( check_cpq(im_succ_cpq(triple(X0,X1,X2)))
& ok(im_succ_cpq(triple(X0,X1,X2)))
& ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f56,plain,
? [X0,X1,X2] :
( check_cpq(im_succ_cpq(triple(X0,X1,X2)))
& ok(im_succ_cpq(triple(X0,X1,X2)))
& ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) ) ),
inference(flattening,[],[f55]) ).
fof(f58,plain,
( check_cpq(im_succ_cpq(triple(sK0,sK1,sK2)))
& ok(im_succ_cpq(triple(sK0,sK1,sK2)))
& ( ~ check_cpq(triple(sK0,sK1,sK2))
| ~ ok(triple(sK0,sK1,sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f56]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f61,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
| ~ ok(triple(sK0,sK1,sK2)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f62,plain,
ok(im_succ_cpq(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f58]) ).
fof(f63,plain,
check_cpq(im_succ_cpq(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f58]) ).
fof(f68,definition,
( spl3_1
<=> ok(triple(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f70,plain,
( ~ ok(triple(sK0,sK1,sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl3_2
<=> check_cpq(triple(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f74,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f61,f72,f68]) ).
fof(f80,plain,
ok(triple(sK0,sK1,sK2)),
inference(resolution,[],[f59,f62]) ).
fof(f84,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f80,f70]) ).
fof(f85,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f86,plain,
( ~ check_cpq(im_succ_cpq(triple(sK0,sK1,sK2)))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(resolution,[],[f60,f62]) ).
fof(f87,plain,
check_cpq(triple(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[],[f86,f63]) ).
fof(f88,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f87,f74]) ).
fof(f89,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f88]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f75]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f85]) ).
cnf(s4,plain,
spl3_2,
inference(sat_conversion,[],[f89]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f90,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.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 10:50:41 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 0.21/1.20 % (3776436)Detected formulas, will run a generic FOF schedule.
% 0.21/1.20 % (3776540)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2282863796:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.21/1.20 % (3776540)First to succeed.
% 0.21/1.20 % (3776540)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3776436"
% 0.21/1.20 % (3776536)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=102974327:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.21/1.20 % (3776538)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=432095325:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.21/1.20 % (3776534)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=4262446502:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.21/1.20 % (3776542)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4282632035:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.21/1.20 % (3776541)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4121134636:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.21/1.20 % (3776541)Also succeeded, but the first one will report.
% 0.21/1.20 % (3776542)Also succeeded, but the first one will report.
% 0.21/1.20 % (3776543)dis-21_1_sil=8000:lcm=predicate:random_seed=3362559723: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)
% 0.21/1.20 % (3776543)Also succeeded, but the first one will report.
% 0.21/1.20 % (3776540)Refutation found. Thanks to Tanya!
% 0.21/1.20 % SZS status Theorem for theBenchmark
% 0.21/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.20 % (3776540)------------------------------
% 0.21/1.20 % (3776540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.20 % (3776540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.20 % (3776540)CaDiCaL version: 2.1.3
% 0.21/1.20 % (3776540)Termination reason: Refutation
% 0.21/1.20 % (3776540)Time elapsed: 0.002 s
% 0.21/1.20 % (3776540)Peak memory usage: 89 MB
% 0.21/1.20 % (3776540)Instructions burned: 2 (million)
% 0.21/1.20 % (3776540)------------------------------
% 0.21/1.20 % (3776540)------------------------------
% 0.21/1.20 % (3776436)Success in time 0.291 s
% 0.21/1.20 % Vampire exiting
%------------------------------------------------------------------------------