TSTP Solution File: NUN059+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% 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 : 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 : Wed Aug 31 18:07:36 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 17 unt; 0 def)
% Number of atoms : 129 ( 32 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 124 ( 40 ~; 26 |; 51 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 110 ( 66 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f270,plain,
$false,
inference(avatar_sat_refutation,[],[f257,f269]) ).
fof(f269,plain,
~ spl20_1,
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| ~ spl20_1 ),
inference(resolution,[],[f256,f121]) ).
fof(f121,plain,
! [X0] : r4(X0,sK2,sK2),
inference(backward_demodulation,[],[f117,f115]) ).
fof(f115,plain,
! [X1] : sK8(X1) = sK2,
inference(resolution,[],[f63,f99]) ).
fof(f99,plain,
! [X0] : r1(sK8(X0)),
inference(definition_unfolding,[],[f77,f78]) ).
fof(f78,plain,
! [X0] : sK10(X0) = sK8(X0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( r4(X0,sK9(X0),sK8(X0))
& r1(sK9(X0))
& sK10(X0) = sK8(X0)
& r1(sK10(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f18,f43,f42,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( X1 = X3
& r1(X3) ) )
=> ( ? [X2] :
( r4(X0,X2,sK8(X0))
& r1(X2) )
& ? [X3] :
( sK8(X0) = X3
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X2] :
( r4(X0,X2,sK8(X0))
& r1(X2) )
=> ( r4(X0,sK9(X0),sK8(X0))
& r1(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X3] :
( sK8(X0) = X3
& r1(X3) )
=> ( sK10(X0) = sK8(X0)
& r1(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( X1 = X3
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X34] :
( r4(X32,X34,X33)
& r1(X34) )
& ? [X35] :
( X33 = X35
& r1(X35) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
fof(f77,plain,
! [X0] : r1(sK10(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f63,plain,
! [X1] :
( ~ r1(X1)
| sK2 = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1] :
( ( r1(X1)
& sK2 = X1 )
| ( sK2 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f1,f30]) ).
fof(f30,plain,
( ? [X0] :
! [X1] :
( ( r1(X1)
& X0 = X1 )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( r1(X1)
& sK2 = X1 )
| ( sK2 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( r1(X1)
& X0 = X1 )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f117,plain,
! [X0] : r4(X0,sK2,sK8(X0)),
inference(backward_demodulation,[],[f80,f116]) ).
fof(f116,plain,
! [X2] : sK2 = sK9(X2),
inference(resolution,[],[f63,f79]) ).
fof(f79,plain,
! [X0] : r1(sK9(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f80,plain,
! [X0] : r4(X0,sK9(X0),sK8(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f256,plain,
( ! [X0] : ~ r4(X0,X0,sK2)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl20_1
<=> ! [X0] : ~ r4(X0,X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f257,plain,
( spl20_1
| spl20_1 ),
inference(avatar_split_clause,[],[f250,f255,f255]) ).
fof(f250,plain,
! [X0,X1] :
( ~ r4(X1,X1,sK2)
| ~ r4(X0,X0,sK2) ),
inference(resolution,[],[f156,f119]) ).
fof(f119,plain,
! [X0] : r3(X0,sK2,X0),
inference(backward_demodulation,[],[f112,f113]) ).
fof(f113,plain,
! [X0] : sK1(X0) = sK2,
inference(resolution,[],[f63,f60]) ).
fof(f60,plain,
! [X0] : r1(sK1(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( sK0(X0) = X0
& r1(sK1(X0))
& r3(X0,sK1(X0),sK0(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f27,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) )
=> ( sK0(X0) = X0
& ? [X2] :
( r1(X2)
& r3(X0,X2,sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,sK0(X0)) )
=> ( r1(sK1(X0))
& r3(X0,sK1(X0),sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r1(X31)
& r3(X29,X31,X30) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f112,plain,
! [X0] : r3(X0,sK1(X0),X0),
inference(backward_demodulation,[],[f59,f61]) ).
fof(f61,plain,
! [X0] : sK0(X0) = X0,
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X0] : r3(X0,sK1(X0),sK0(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ r3(sK2,X1,X3)
| ~ r4(X0,X0,X1)
| ~ r4(X2,X2,X3) ),
inference(resolution,[],[f102,f121]) ).
fof(f102,plain,
! [X2,X0,X1,X6,X4,X5] :
( ~ r4(X1,X1,X6)
| ~ r4(X0,X0,X5)
| ~ r4(X2,X2,X4)
| ~ r3(X6,X5,X4) ),
inference(equality_resolution,[],[f62]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r4(X2,X2,X4)
| X3 != X4
| ~ r4(X1,X1,X6)
| ~ r3(X6,X5,X3)
| ~ r4(X0,X0,X5) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ r4(X2,X2,X4)
| X3 != X4 )
| ! [X5] :
( ! [X6] :
( ~ r4(X1,X1,X6)
| ~ r3(X6,X5,X3) )
| ~ r4(X0,X0,X5) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1,X3] :
( ! [X6] :
( ~ r4(X1,X1,X6)
| X3 != X6 )
| ! [X4] :
( ! [X5] :
( ~ r4(X0,X0,X5)
| ~ r3(X5,X4,X3) )
| ~ r4(X2,X2,X4) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X3,X2,X0,X1] :
( ? [X6] :
( r4(X1,X1,X6)
& X3 = X6 )
& ? [X4] :
( ? [X5] :
( r4(X0,X0,X5)
& r3(X5,X4,X3) )
& r4(X2,X2,X4) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X21,X22,X15] :
( ? [X24] :
( ? [X18] :
( r4(X38,X38,X18)
& r3(X18,X24,X15) )
& r4(X22,X22,X24) )
& ? [X16] :
( X15 = X16
& r4(X21,X21,X16) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X21,X22,X15] :
( ? [X24] :
( ? [X18] :
( r4(X38,X38,X18)
& r3(X18,X24,X15) )
& r4(X22,X22,X24) )
& ? [X16] :
( X15 = X16
& r4(X21,X21,X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fermattothepoweroftwo) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.12/0.13 % 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 : n018.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 09:46:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (17468)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.47 % (17468)Refutation not found, incomplete strategy% (17468)------------------------------
% 0.19/0.47 % (17468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (17468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (17468)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47 % (17468)Memory used [KB]: 6012
% 0.19/0.47 % (17468)Time elapsed: 0.079 s
% 0.19/0.47 % (17468)Instructions burned: 3 (million)
% 0.19/0.47 % (17468)------------------------------
% 0.19/0.47 % (17468)------------------------------
% 0.19/0.49 % (17476)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (17488)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.50 % (17491)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)
% 0.19/0.50 % (17493)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51 % (17493)First to succeed.
% 0.19/0.51 % (17470)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (17491)Refutation not found, incomplete strategy% (17491)------------------------------
% 0.19/0.51 % (17491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17491)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (17491)Memory used [KB]: 1535
% 0.19/0.51 % (17491)Time elapsed: 0.062 s
% 0.19/0.51 % (17491)Instructions burned: 4 (million)
% 0.19/0.51 % (17491)------------------------------
% 0.19/0.51 % (17491)------------------------------
% 0.19/0.51 % (17493)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 % (17493)------------------------------
% 0.19/0.51 % (17493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17493)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (17493)Memory used [KB]: 6140
% 0.19/0.51 % (17493)Time elapsed: 0.115 s
% 0.19/0.51 % (17493)Instructions burned: 8 (million)
% 0.19/0.51 % (17493)------------------------------
% 0.19/0.51 % (17493)------------------------------
% 0.19/0.51 % (17463)Success in time 0.156 s
%------------------------------------------------------------------------------