TSTP Solution File: SWV373+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV373+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n022.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 : Wed Aug 31 18:45:21 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 74 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 34 ~; 13 |; 15 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 79 ( 70 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(subsumption_resolution,[],[f161,f128]) ).
fof(f128,plain,
! [X1] : ~ ok(triple(X1,create_slb,bad)),
inference(forward_demodulation,[],[f126,f121]) ).
fof(f121,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(f126,plain,
! [X0,X1] : ~ ok(findmin_cpq_eff(triple(X1,create_slb,X0))),
inference(equality_resolution,[],[f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( create_slb != X2
| ~ ok(findmin_cpq_eff(triple(X1,X2,X0))) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( contains_slb(X2,findmin_pqp_res(X1))
& create_slb != X2
& less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) )
| ~ ok(findmin_cpq_eff(triple(X1,X2,X0))) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X2,X0] :
( ( contains_slb(X0,findmin_pqp_res(X2))
& create_slb != X0
& less_than(lookup_slb(X0,findmin_pqp_res(X2)),findmin_pqp_res(X2)) )
| ~ ok(findmin_cpq_eff(triple(X2,X0,X1))) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X2,X0,X1)))
=> ( contains_slb(X0,findmin_pqp_res(X2))
& create_slb != X0
& less_than(lookup_slb(X0,findmin_pqp_res(X2)),findmin_pqp_res(X2)) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X2,X0] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
=> ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& create_slb != X1
& contains_slb(X1,findmin_pqp_res(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_l10) ).
fof(f161,plain,
ok(triple(sK0,create_slb,bad)),
inference(forward_demodulation,[],[f153,f121]) ).
fof(f153,plain,
ok(findmin_cpq_eff(triple(sK0,create_slb,sK2))),
inference(backward_demodulation,[],[f102,f151]) ).
fof(f151,plain,
create_slb = sK1,
inference(subsumption_resolution,[],[f149,f140]) ).
fof(f140,plain,
contains_slb(sK1,findmin_pqp_res(sK0)),
inference(unit_resulting_resolution,[],[f102,f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ ok(findmin_cpq_eff(triple(X1,X2,X0)))
| contains_slb(X2,findmin_pqp_res(X1)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f149,plain,
( create_slb = sK1
| ~ contains_slb(sK1,findmin_pqp_res(sK0)) ),
inference(superposition,[],[f137,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X2,X0,X3] :
( findmin_pqp_res(X2) = findmin_cpq_res(triple(X2,X0,X3))
| create_slb = X0 ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X2,X3,X0] :
( create_slb != X0
=> findmin_pqp_res(X2) = findmin_cpq_res(triple(X2,X0,X3)) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X3,X0,X2] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f137,plain,
~ contains_slb(sK1,findmin_cpq_res(triple(sK0,sK1,sK2))),
inference(unit_resulting_resolution,[],[f101,f109]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X3,X0,X1),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X3,X0,X1),X2)
| ~ contains_slb(X0,X2) )
& ( contains_slb(X0,X2)
| ~ contains_cpq(triple(X3,X0,X1),X2) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0,X2,X1,X3] :
( ( contains_cpq(triple(X3,X0,X2),X1)
| ~ contains_slb(X0,X1) )
& ( contains_slb(X0,X1)
| ~ contains_cpq(triple(X3,X0,X2),X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1,X3] :
( contains_cpq(triple(X3,X0,X2),X1)
<=> contains_slb(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X3,X2,X0] :
( contains_slb(X1,X3)
<=> contains_cpq(triple(X0,X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f101,plain,
~ contains_cpq(triple(sK0,sK1,sK2),findmin_cpq_res(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f83]) ).
fof(f83,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])],[f81,f82]) ).
fof(f82,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(f81,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(rectify,[],[f66]) ).
fof(f66,plain,
? [X1,X0,X2] :
( ok(findmin_cpq_eff(triple(X1,X0,X2)))
& ~ contains_cpq(triple(X1,X0,X2),findmin_cpq_res(triple(X1,X0,X2))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
~ ! [X1,X2,X0] :
( ~ contains_cpq(triple(X1,X0,X2),findmin_cpq_res(triple(X1,X0,X2)))
=> ~ ok(findmin_cpq_eff(triple(X1,X0,X2))) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X1,X0,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,
! [X1,X0,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(f102,plain,
ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV373+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 20:09:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (17857)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.47 % (17850)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.47 % (17857)First to succeed.
% 0.18/0.47 % (17857)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (17857)------------------------------
% 0.18/0.48 % (17857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (17857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (17857)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (17857)Memory used [KB]: 6012
% 0.18/0.48 % (17857)Time elapsed: 0.090 s
% 0.18/0.48 % (17857)Instructions burned: 5 (million)
% 0.18/0.48 % (17857)------------------------------
% 0.18/0.48 % (17857)------------------------------
% 0.18/0.48 % (17842)Success in time 0.133 s
%------------------------------------------------------------------------------