%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n003.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 01:21:08 PM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : Refutation 0.10s
% 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(f84,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f85,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(f86,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,[],[f85]) ).
fof(f87,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(f88,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,[],[f87]) ).
fof(f95,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)],[f88]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f145,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,[],[f86]) ).
fof(f146,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
| ~ ok(triple(sK0,sK1,sK2)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f147,plain,
ok(im_succ_cpq(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f95]) ).
fof(f148,plain,
check_cpq(im_succ_cpq(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f95]) ).
fof(f157,definition,
( spl3_1
<=> ok(triple(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f159,plain,
( ~ ok(triple(sK0,sK1,sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f161,definition,
( spl3_2
<=> check_cpq(triple(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f163,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f146,f161,f157]) ).
fof(f190,plain,
ok(triple(sK0,sK1,sK2)),
inference(resolution,[],[f144,f147]) ).
fof(f191,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f190,f159]) ).
fof(f192,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f203,plain,
( ~ check_cpq(im_succ_cpq(triple(sK0,sK1,sK2)))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(resolution,[],[f145,f147]) ).
fof(f204,plain,
check_cpq(triple(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[],[f203,f148]) ).
fof(f205,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f204,f163]) ).
fof(f206,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f205]) ).
cnf(s53,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f164]) ).
cnf(s85,plain,
spl3_1,
inference(sat_conversion,[],[f192]) ).
cnf(s98,plain,
spl3_2,
inference(sat_conversion,[],[f206]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s53,s98,s85]) ).
fof(f207,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n003.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 10:49:42 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.25 % (1507918)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (1507923)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1691365785_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.25 % TRYING [1]
% 0.10/0.25 % TRYING [2]
% 0.10/0.25 % TRYING [3]
% 0.10/0.25 % (1507928)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3939256298:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25 % (1507925)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3138767496:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.25 % (1507926)dis+10_1_sil=32000:sp=arity:random_seed=2017477394:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25 % (1507927)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=667140277:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.25 % (1507929)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4066959687:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (1507924)% WARNING: option uhcvi not known.
% 0.10/0.25 % (1507925) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1507918-1507925"...
% 0.10/0.25 % (1507926) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1507918-1507926"...
% 0.10/0.25 % (1507925)...printing done.
% 0.10/0.25 % (1507925)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Theorem for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (1507925)------------------------------
% 0.10/0.25 % (1507925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (1507925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (1507925)CaDiCaL version: 2.1.3
% 0.10/0.25 % (1507925)Termination reason: Refutation
% 0.10/0.25 % (1507925)Time elapsed: 0.005 s
% 0.10/0.25 % (1507925)Peak memory usage: 12 MB
% 0.10/0.25 % (1507925)Instructions burned: 5 (million)
% 0.10/0.25 % (1507918)Success in time 0.042 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------