TSTP Solution File: SWV373+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV373+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:51:35 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 55 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 8 |; 9 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 58 ( 52 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(resolution,[],[f173,f114]) ).
fof(f114,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f173,plain,
ok(triple(sK0,create_slb,bad)),
inference(forward_demodulation,[],[f169,f109]) ).
fof(f109,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f169,plain,
ok(findmin_cpq_eff(triple(sK0,create_slb,sK2))),
inference(backward_demodulation,[],[f94,f167]) ).
fof(f167,plain,
create_slb = sK1,
inference(resolution,[],[f163,f157]) ).
fof(f157,plain,
contains_slb(sK1,findmin_pqp_res(sK0)),
inference(resolution,[],[f96,f94]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
| contains_slb(X1,findmin_pqp_res(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
| ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
=> ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_l10) ).
fof(f163,plain,
( ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 ),
inference(superposition,[],[f155,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f155,plain,
~ contains_slb(sK1,findmin_cpq_res(triple(sK0,sK1,sK2))),
inference(resolution,[],[f135,f93]) ).
fof(f93,plain,
~ contains_cpq(triple(sK0,sK1,sK2),findmin_cpq_res(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ~ contains_cpq(triple(sK0,sK1,sK2),findmin_cpq_res(triple(sK0,sK1,sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f85]) ).
fof(f85,plain,
( ? [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2))) )
=> ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ~ contains_cpq(triple(sK0,sK1,sK2),findmin_cpq_res(triple(sK0,sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2)))
=> ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X0,X1,X2] :
( ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2)))
=> ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_co) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f94,plain,
ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV373+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:07:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28772)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (28775)WARNING: value z3 for option sas not known
% 0.15/0.38 % (28776)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (28773)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (28774)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (28777)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (28778)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (28775)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (28779)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (28778)First to succeed.
% 0.15/0.38 % (28778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28772"
% 0.15/0.39 % (28775)Also succeeded, but the first one will report.
% 0.22/0.39 % (28778)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (28778)------------------------------
% 0.22/0.39 % (28778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (28778)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (28778)Memory used [KB]: 958
% 0.22/0.39 % (28778)Time elapsed: 0.007 s
% 0.22/0.39 % (28778)Instructions burned: 8 (million)
% 0.22/0.39 % (28772)Success in time 0.025 s
%------------------------------------------------------------------------------