TSTP Solution File: SWV416+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV416+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_sat --cores 0 -t %d %s
% Computer : n019.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 18:56:46 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 5 unt; 0 def)
% Number of atoms : 81 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 31 ~; 20 |; 17 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 70 ( 54 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f326,plain,
$false,
inference(subsumption_resolution,[],[f323,f314]) ).
fof(f314,plain,
~ contains_pq(i(triple(sK4,sK1,sK2)),sK3),
inference(subsumption_resolution,[],[f311,f219]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(i(triple(X2,X3,X0)),X1)
| remove_pq(i(triple(X2,X3,X0)),X1) = i(remove_cpq(triple(X2,X3,X0),X1)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ contains_pq(i(triple(X2,X3,X0)),X1)
| remove_pq(i(triple(X2,X3,X0)),X1) = i(remove_cpq(triple(X2,X3,X0),X1)) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X2,X1,X3,X0] :
( ~ contains_pq(i(triple(X3,X0,X2)),X1)
| remove_pq(i(triple(X3,X0,X2)),X1) = i(remove_cpq(triple(X3,X0,X2),X1)) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X1,X0,X3,X2] :
( contains_pq(i(triple(X3,X0,X2)),X1)
=> remove_pq(i(triple(X3,X0,X2)),X1) = i(remove_cpq(triple(X3,X0,X2),X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X1,X3,X2,X0] :
( contains_pq(i(triple(X0,X1,X2)),X3)
=> i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main3_li34) ).
fof(f311,plain,
( ~ contains_pq(i(triple(sK4,sK1,sK2)),sK3)
| i(remove_cpq(triple(sK4,sK1,sK2),sK3)) != remove_pq(i(triple(sK4,sK1,sK2)),sK3) ),
inference(resolution,[],[f285,f253]) ).
fof(f253,plain,
( ~ pi_sharp_remove(i(triple(sK4,sK1,sK2)),sK3)
| i(remove_cpq(triple(sK4,sK1,sK2),sK3)) != remove_pq(i(triple(sK4,sK1,sK2)),sK3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( phi(remove_cpq(triple(sK4,sK1,sK2),sK3))
& pi_remove(triple(sK4,sK1,sK2),sK3)
& ( ~ pi_sharp_remove(i(triple(sK4,sK1,sK2)),sK3)
| i(remove_cpq(triple(sK4,sK1,sK2),sK3)) != remove_pq(i(triple(sK4,sK1,sK2)),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f186,f187]) ).
fof(f187,plain,
( ? [X0,X1,X2,X3] :
( phi(remove_cpq(triple(X3,X0,X1),X2))
& pi_remove(triple(X3,X0,X1),X2)
& ( ~ pi_sharp_remove(i(triple(X3,X0,X1)),X2)
| remove_pq(i(triple(X3,X0,X1)),X2) != i(remove_cpq(triple(X3,X0,X1),X2)) ) )
=> ( phi(remove_cpq(triple(sK4,sK1,sK2),sK3))
& pi_remove(triple(sK4,sK1,sK2),sK3)
& ( ~ pi_sharp_remove(i(triple(sK4,sK1,sK2)),sK3)
| i(remove_cpq(triple(sK4,sK1,sK2),sK3)) != remove_pq(i(triple(sK4,sK1,sK2)),sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
? [X0,X1,X2,X3] :
( phi(remove_cpq(triple(X3,X0,X1),X2))
& pi_remove(triple(X3,X0,X1),X2)
& ( ~ pi_sharp_remove(i(triple(X3,X0,X1)),X2)
| remove_pq(i(triple(X3,X0,X1)),X2) != i(remove_cpq(triple(X3,X0,X1),X2)) ) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
? [X2,X3,X1,X0] :
( phi(remove_cpq(triple(X0,X2,X3),X1))
& pi_remove(triple(X0,X2,X3),X1)
& ( ~ pi_sharp_remove(i(triple(X0,X2,X3)),X1)
| i(remove_cpq(triple(X0,X2,X3),X1)) != remove_pq(i(triple(X0,X2,X3)),X1) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
? [X3,X2,X0,X1] :
( ( ~ pi_sharp_remove(i(triple(X0,X2,X3)),X1)
| i(remove_cpq(triple(X0,X2,X3),X1)) != remove_pq(i(triple(X0,X2,X3)),X1) )
& phi(remove_cpq(triple(X0,X2,X3),X1))
& pi_remove(triple(X0,X2,X3),X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X3,X2,X0,X1] :
( pi_remove(triple(X0,X2,X3),X1)
=> ( phi(remove_cpq(triple(X0,X2,X3),X1))
=> ( pi_sharp_remove(i(triple(X0,X2,X3)),X1)
& i(remove_cpq(triple(X0,X2,X3),X1)) = remove_pq(i(triple(X0,X2,X3)),X1) ) ) ),
inference(rectify,[],[f66]) ).
fof(f66,negated_conjecture,
~ ! [X0,X3,X1,X2] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( pi_sharp_remove(i(triple(X0,X1,X2)),X3)
& i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ) ) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
! [X0,X3,X1,X2] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( pi_sharp_remove(i(triple(X0,X1,X2)),X3)
& i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co3) ).
fof(f285,plain,
! [X0,X1] :
( pi_sharp_remove(X1,X0)
| ~ contains_pq(X1,X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ( contains_pq(X1,X0)
| ~ pi_sharp_remove(X1,X0) )
& ( pi_sharp_remove(X1,X0)
| ~ contains_pq(X1,X0) ) ),
inference(rectify,[],[f210]) ).
fof(f210,plain,
! [X1,X0] :
( ( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) )
& ( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X1,X0] :
( contains_pq(X0,X1)
<=> pi_sharp_remove(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
fof(f323,plain,
contains_pq(i(triple(sK4,sK1,sK2)),sK3),
inference(resolution,[],[f320,f286]) ).
fof(f286,plain,
! [X0,X1] :
( ~ pi_sharp_remove(X1,X0)
| contains_pq(X1,X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f320,plain,
pi_sharp_remove(i(triple(sK4,sK1,sK2)),sK3),
inference(resolution,[],[f230,f254]) ).
fof(f254,plain,
pi_remove(triple(sK4,sK1,sK2),sK3),
inference(cnf_transformation,[],[f188]) ).
fof(f230,plain,
! [X0,X1] :
( ~ pi_remove(X0,X1)
| pi_sharp_remove(i(X0),X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X1,X0] :
( pi_sharp_remove(i(X1),X0)
| ~ pi_remove(X1,X0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X1,X0] :
( pi_remove(X1,X0)
=> pi_sharp_remove(i(X1),X0) ),
inference(unused_predicate_definition_removal,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( pi_remove(X1,X0)
<=> pi_sharp_remove(i(X1),X0) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X1,X0] :
( pi_sharp_remove(i(X0),X1)
<=> pi_remove(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV416+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:26:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (27944)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (27936)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (27928)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (27944)First to succeed.
% 0.19/0.52 % (27934)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (27944)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (27944)------------------------------
% 0.19/0.52 % (27944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27944)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (27944)Memory used [KB]: 1151
% 0.19/0.52 % (27944)Time elapsed: 0.064 s
% 0.19/0.52 % (27944)Instructions burned: 6 (million)
% 0.19/0.52 % (27944)------------------------------
% 0.19/0.52 % (27944)------------------------------
% 0.19/0.52 % (27921)Success in time 0.166 s
%------------------------------------------------------------------------------