%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV387+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 : n007.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 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 31 ( 16 ~; 9 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( check_cpq(remove_cpq(triple(X0,X1,X2),X3))
& ok(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_l027) ).
fof(f43,conjecture,
! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_co) ).
fof(f44,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ? [X3] :
( check_cpq(remove_cpq(triple(X0,X1,X2),X3))
& ok(remove_cpq(triple(X0,X1,X2),X3)) )
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f131,plain,
ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f81]) ).
fof(f133,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f81]) ).
fof(f448,plain,
( ~ check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(resolution,[],[f130,f131]) ).
fof(f451,plain,
check_cpq(triple(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[],[f448,f132]) ).
fof(f452,plain,
$false,
inference(forward_subsumption_resolution,[],[f451,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV387+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n007.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 10:45:26 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.28 % (2314524)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (2314533)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1607899941:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (2314530)% WARNING: option uhcvi not known.
% 0.20/0.28 % (2314530)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=287926772:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (2314529)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3076398676_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (2314534)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1973118717:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (2314531)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2371471747:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (2314532)dis+10_1_sil=32000:sp=arity:random_seed=1205607895:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (2314533) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2314524-2314533"...
% 0.20/0.28 % (2314535)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3188967208:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (2314533)...printing done.
% 0.20/0.28 % (2314533)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (2314533)------------------------------
% 0.20/0.28 % (2314533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (2314533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (2314533)CaDiCaL version: 2.1.3
% 0.20/0.28 % (2314533)Termination reason: Refutation
% 0.20/0.28 % (2314533)Time elapsed: 0.008 s
% 0.20/0.28 % (2314533)Peak memory usage: 12 MB
% 0.20/0.28 % (2314533)Instructions burned: 25 (million)
% 0.20/0.28 % (2314524)Success in time 0.04 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------