%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV376+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 01:21:06 PM UTC 2026
% Result : Theorem 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 9 unt; 3 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 53 ~; 40 |; 12 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 105 ( 0 sgn 81 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
( ! [X0,X1,X2,X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
=> ~ ok(im_succ_cpq(triple(X3,X4,X5))) ) )
=> ! [X6,X7,X8] :
( ~ ok(triple(X6,X7,X8))
=> ! [X9,X10,X11] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
=> ~ ok(triple(X9,X10,X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_induction) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_l13) ).
fof(f44,conjecture,
! [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)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_co) ).
fof(f45,negated_conjecture,
~ ! [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)) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f84,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ok(triple(X6,X7,X8)) )
| ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& ~ ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f85,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ok(triple(X6,X7,X8)) )
| ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& ~ ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f87,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ~ ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f94,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ok(triple(X0,X1,X2)) )
| ? [X6,X7,X8,X9,X10,X11] :
( ok(im_succ_cpq(triple(X9,X10,X11)))
& ~ ok(triple(X9,X10,X11))
& succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) ) ),
inference(rectify,[],[f85]) ).
fof(f95,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ok(triple(X0,X1,X2)) )
| ( ok(im_succ_cpq(triple(sK3,sK4,sK5)))
& ~ ok(triple(sK3,sK4,sK5))
& succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X6,sK0),skolemize(X7,sK1),skolemize(X8,sK2),skolemize(X9,sK3),skolemize(X10,sK4),skolemize(X11,sK5)],[f94]) ).
fof(f96,plain,
( ok(triple(sK9,sK10,sK11))
& succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11))
& ~ ok(triple(sK6,sK7,sK8)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11)],[f87]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ ok(triple(sK3,sK4,sK5)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK3,sK4,sK5))) ),
inference(cnf_transformation,[],[f95]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f149,plain,
~ ok(triple(sK6,sK7,sK8)),
inference(cnf_transformation,[],[f96]) ).
fof(f150,plain,
succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11)),
inference(cnf_transformation,[],[f96]) ).
fof(f151,plain,
ok(triple(sK9,sK10,sK11)),
inference(cnf_transformation,[],[f96]) ).
fof(f164,definition,
( spl12_2
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ ok(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f165,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ ok(triple(X3,X4,X5)) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl12_3
<=> ok(triple(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f170,plain,
( ~ ok(triple(sK3,sK4,sK5))
| spl12_3 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( ~ spl12_3
| spl12_2 ),
inference(avatar_split_clause,[],[f146,f164,f168]) ).
fof(f173,definition,
( spl12_4
<=> ok(im_succ_cpq(triple(sK3,sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f175,plain,
( ok(im_succ_cpq(triple(sK3,sK4,sK5)))
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl12_4
| spl12_2 ),
inference(avatar_split_clause,[],[f147,f164,f173]) ).
fof(f300,plain,
( ok(triple(sK6,sK7,sK8))
| ~ ok(triple(sK9,sK10,sK11))
| ~ spl12_2 ),
inference(resolution,[],[f165,f150]) ).
fof(f307,plain,
( ~ ok(triple(sK9,sK10,sK11))
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f300,f149]) ).
fof(f310,plain,
( $false
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f307,f151]) ).
fof(f311,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f313,plain,
( ok(triple(sK3,sK4,sK5))
| ~ spl12_4 ),
inference(resolution,[],[f175,f148]) ).
fof(f314,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f313,f170]) ).
fof(f315,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f314]) ).
cnf(s2,plain,
( spl12_2
| ~ spl12_3 ),
inference(sat_conversion,[],[f171]) ).
cnf(s3,plain,
( spl12_2
| spl12_4 ),
inference(sat_conversion,[],[f176]) ).
cnf(s6,plain,
~ spl12_2,
inference(sat_conversion,[],[f311]) ).
cnf(s7,plain,
( spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f315]) ).
cnf(s8,plain,
spl12_4,
inference(rat,[],[s3,s6]) ).
cnf(s9,plain,
spl12_3,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s9,s6]) ).
fof(f316,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV376+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n002.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 10:48:22 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.29 % (275860)Will run a generic schedule for satisfiability detection.
% 0.22/0.29 % (275875)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2495767611_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.29 % (275876)% WARNING: option uhcvi not known.
% 0.22/0.29 % TRYING [1]
% 0.22/0.29 % TRYING [2]
% 0.22/0.29 % TRYING [3]
% 0.22/0.29 % (275878)dis+10_1_sil=32000:sp=arity:random_seed=2117790837:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.29 % (275876)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1863107249:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.29 % (275877)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=646389156:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.29 % (275881)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1978981009:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.29 % (275879)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1910783802:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.29 % (275880)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4201518285:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.29 % (275878) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-275860-275878"...
% 0.22/0.29 % (275876) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-275860-275876"...
% 0.22/0.29 % (275878)...printing done.
% 0.22/0.29 % (275876)...printing done.
% 0.22/0.29 % (275878)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (275878)------------------------------
% 0.22/0.29 % (275878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (275878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (275878)CaDiCaL version: 2.1.3
% 0.22/0.29 % (275878)Termination reason: Refutation
% 0.22/0.29 % (275878)Time elapsed: 0.009 s
% 0.22/0.29 % (275878)Peak memory usage: 12 MB
% 0.22/0.29 % (275878)Instructions burned: 11 (million)
% 0.22/0.29 % (275860)Success in time 0.045 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------