TSTP Solution File: SWV416+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n021.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 18:45:30 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 3 unt; 0 def)
% Number of atoms : 103 ( 18 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 102 ( 39 ~; 31 |; 17 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 68 ( 52 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f412,plain,
$false,
inference(avatar_sat_refutation,[],[f304,f391,f411]) ).
fof(f411,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(resolution,[],[f392,f404]) ).
fof(f404,plain,
( ~ contains_pq(i(triple(sK3,sK0,sK1)),sK2)
| spl6_2 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
( ~ contains_pq(i(triple(sK3,sK0,sK1)),sK2)
| i(remove_cpq(triple(sK3,sK0,sK1),sK2)) != i(remove_cpq(triple(sK3,sK0,sK1),sK2))
| spl6_2 ),
inference(superposition,[],[f303,f247]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( remove_pq(i(triple(X2,X3,X1)),X0) = i(remove_cpq(triple(X2,X3,X1),X0))
| ~ contains_pq(i(triple(X2,X3,X1)),X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( remove_pq(i(triple(X2,X3,X1)),X0) = i(remove_cpq(triple(X2,X3,X1),X0))
| ~ contains_pq(i(triple(X2,X3,X1)),X0) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X3,X1,X0,X2] :
( remove_pq(i(triple(X0,X2,X1)),X3) = i(remove_cpq(triple(X0,X2,X1),X3))
| ~ contains_pq(i(triple(X0,X2,X1)),X3) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X3,X2,X0] :
( contains_pq(i(triple(X0,X2,X1)),X3)
=> remove_pq(i(triple(X0,X2,X1)),X3) = i(remove_cpq(triple(X0,X2,X1),X3)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X2,X1,X3] :
( 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/sandbox/benchmark/theBenchmark.p',main3_li34) ).
fof(f303,plain,
( remove_pq(i(triple(sK3,sK0,sK1)),sK2) != i(remove_cpq(triple(sK3,sK0,sK1),sK2))
| spl6_2 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl6_2
<=> remove_pq(i(triple(sK3,sK0,sK1)),sK2) = i(remove_cpq(triple(sK3,sK0,sK1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f392,plain,
( contains_pq(i(triple(sK3,sK0,sK1)),sK2)
| ~ spl6_1 ),
inference(resolution,[],[f298,f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ pi_sharp_remove(X0,X1)
| contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) )
& ( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X1,X0] :
( ( pi_sharp_remove(X1,X0)
| ~ contains_pq(X1,X0) )
& ( contains_pq(X1,X0)
| ~ pi_sharp_remove(X1,X0) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( pi_sharp_remove(X1,X0)
<=> contains_pq(X1,X0) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X1,X0] :
( contains_pq(X0,X1)
<=> pi_sharp_remove(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f298,plain,
( pi_sharp_remove(i(triple(sK3,sK0,sK1)),sK2)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl6_1
<=> pi_sharp_remove(i(triple(sK3,sK0,sK1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f391,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f390,plain,
( $false
| spl6_1 ),
inference(resolution,[],[f362,f238]) ).
fof(f238,plain,
pi_remove(triple(sK3,sK0,sK1),sK2),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( pi_remove(triple(sK3,sK0,sK1),sK2)
& phi(remove_cpq(triple(sK3,sK0,sK1),sK2))
& ( ~ pi_sharp_remove(i(triple(sK3,sK0,sK1)),sK2)
| remove_pq(i(triple(sK3,sK0,sK1)),sK2) != i(remove_cpq(triple(sK3,sK0,sK1),sK2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f178,f179]) ).
fof(f179,plain,
( ? [X0,X1,X2,X3] :
( pi_remove(triple(X3,X0,X1),X2)
& phi(remove_cpq(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)) ) )
=> ( pi_remove(triple(sK3,sK0,sK1),sK2)
& phi(remove_cpq(triple(sK3,sK0,sK1),sK2))
& ( ~ pi_sharp_remove(i(triple(sK3,sK0,sK1)),sK2)
| remove_pq(i(triple(sK3,sK0,sK1)),sK2) != i(remove_cpq(triple(sK3,sK0,sK1),sK2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
? [X0,X1,X2,X3] :
( pi_remove(triple(X3,X0,X1),X2)
& phi(remove_cpq(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,[],[f154]) ).
fof(f154,plain,
? [X0,X1,X3,X2] :
( pi_remove(triple(X2,X0,X1),X3)
& phi(remove_cpq(triple(X2,X0,X1),X3))
& ( ~ pi_sharp_remove(i(triple(X2,X0,X1)),X3)
| remove_pq(i(triple(X2,X0,X1)),X3) != i(remove_cpq(triple(X2,X0,X1),X3)) ) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
? [X2,X0,X1,X3] :
( ( ~ pi_sharp_remove(i(triple(X2,X0,X1)),X3)
| remove_pq(i(triple(X2,X0,X1)),X3) != i(remove_cpq(triple(X2,X0,X1),X3)) )
& phi(remove_cpq(triple(X2,X0,X1),X3))
& pi_remove(triple(X2,X0,X1),X3) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
~ ! [X2,X0,X1,X3] :
( pi_remove(triple(X2,X0,X1),X3)
=> ( phi(remove_cpq(triple(X2,X0,X1),X3))
=> ( remove_pq(i(triple(X2,X0,X1)),X3) = i(remove_cpq(triple(X2,X0,X1),X3))
& pi_sharp_remove(i(triple(X2,X0,X1)),X3) ) ) ),
inference(rectify,[],[f66]) ).
fof(f66,negated_conjecture,
~ ! [X1,X2,X0,X3] :
( 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,
! [X1,X2,X0,X3] :
( 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/sandbox/benchmark/theBenchmark.p',co3) ).
fof(f362,plain,
( ~ pi_remove(triple(sK3,sK0,sK1),sK2)
| spl6_1 ),
inference(resolution,[],[f219,f299]) ).
fof(f299,plain,
( ~ pi_sharp_remove(i(triple(sK3,sK0,sK1)),sK2)
| spl6_1 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f219,plain,
! [X0,X1] :
( pi_sharp_remove(i(X1),X0)
| ~ pi_remove(X1,X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ pi_remove(X1,X0)
| pi_sharp_remove(i(X1),X0) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X1,X0] :
( ~ pi_remove(X0,X1)
| pi_sharp_remove(i(X0),X1) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( pi_remove(X0,X1)
=> pi_sharp_remove(i(X0),X1) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( pi_remove(X0,X1)
<=> pi_sharp_remove(i(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f304,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f236,f301,f297]) ).
fof(f236,plain,
( remove_pq(i(triple(sK3,sK0,sK1)),sK2) != i(remove_cpq(triple(sK3,sK0,sK1),sK2))
| ~ pi_sharp_remove(i(triple(sK3,sK0,sK1)),sK2) ),
inference(cnf_transformation,[],[f180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV416+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:19:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (2718)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.49 % (2710)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (2710)Instruction limit reached!
% 0.19/0.50 % (2710)------------------------------
% 0.19/0.50 % (2710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2710)Termination reason: Unknown
% 0.19/0.50 % (2710)Termination phase: Preprocessing 3
% 0.19/0.50
% 0.19/0.50 % (2710)Memory used [KB]: 1535
% 0.19/0.50 % (2710)Time elapsed: 0.005 s
% 0.19/0.50 % (2710)Instructions burned: 3 (million)
% 0.19/0.50 % (2710)------------------------------
% 0.19/0.50 % (2710)------------------------------
% 0.19/0.50 % (2711)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (2702)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (2718)First to succeed.
% 0.19/0.51 % (2719)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (2718)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (2718)------------------------------
% 0.19/0.51 % (2718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2718)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (2718)Memory used [KB]: 6140
% 0.19/0.51 % (2718)Time elapsed: 0.066 s
% 0.19/0.51 % (2718)Instructions burned: 9 (million)
% 0.19/0.51 % (2718)------------------------------
% 0.19/0.51 % (2718)------------------------------
% 0.19/0.51 % (2695)Success in time 0.159 s
%------------------------------------------------------------------------------