TSTP Solution File: KRS073+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n010.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 17:30:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 9 unt; 0 def)
% Number of atoms : 232 ( 9 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 269 ( 98 ~; 87 |; 62 &)
% ( 10 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 131 ( 105 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,plain,
$false,
inference(avatar_sat_refutation,[],[f264,f278]) ).
fof(f278,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f276,f199]) ).
fof(f199,plain,
~ cp(i2003_11_14_17_18_54369),
inference(resolution,[],[f197,f139]) ).
fof(f139,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( sP0(X0)
| cp(X0)
| ! [X1] :
( ( rinvF(X1,sK1(X1))
& ! [X3] :
( ~ rs(sK1(X1),X3)
| ~ cp(X3) ) )
| ~ rf(X0,X1)
| ( ~ cp(sK2(X1))
& rinvS(X1,sK2(X1)) ) ) )
& ( ( ~ cp(X0)
& ! [X6] :
( ~ rinvF(sK3(X0),X6)
| ( rs(X6,sK4(X6))
& cp(sK4(X6)) ) )
& rf(X0,sK3(X0))
& ! [X8] :
( cp(X8)
| ~ rinvS(sK3(X0),X8) ) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f104,f108,f107,f106,f105]) ).
fof(f105,plain,
! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& ! [X3] :
( ~ rs(X2,X3)
| ~ cp(X3) ) )
=> ( rinvF(X1,sK1(X1))
& ! [X3] :
( ~ rs(sK1(X1),X3)
| ~ cp(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X1] :
( ? [X4] :
( ~ cp(X4)
& rinvS(X1,X4) )
=> ( ~ cp(sK2(X1))
& rinvS(X1,sK2(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ rinvF(X5,X6)
| ? [X7] :
( rs(X6,X7)
& cp(X7) ) )
& rf(X0,X5)
& ! [X8] :
( cp(X8)
| ~ rinvS(X5,X8) ) )
=> ( ! [X6] :
( ~ rinvF(sK3(X0),X6)
| ? [X7] :
( rs(X6,X7)
& cp(X7) ) )
& rf(X0,sK3(X0))
& ! [X8] :
( cp(X8)
| ~ rinvS(sK3(X0),X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X6] :
( ? [X7] :
( rs(X6,X7)
& cp(X7) )
=> ( rs(X6,sK4(X6))
& cp(sK4(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ( sP0(X0)
| cp(X0)
| ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& ! [X3] :
( ~ rs(X2,X3)
| ~ cp(X3) ) )
| ~ rf(X0,X1)
| ? [X4] :
( ~ cp(X4)
& rinvS(X1,X4) ) ) )
& ( ( ~ cp(X0)
& ? [X5] :
( ! [X6] :
( ~ rinvF(X5,X6)
| ? [X7] :
( rs(X6,X7)
& cp(X7) ) )
& rf(X0,X5)
& ! [X8] :
( cp(X8)
| ~ rinvS(X5,X8) ) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( sP0(X0)
| cp(X0)
| ! [X1] :
( ? [X3] :
( rinvF(X1,X3)
& ! [X4] :
( ~ rs(X3,X4)
| ~ cp(X4) ) )
| ~ rf(X0,X1)
| ? [X2] :
( ~ cp(X2)
& rinvS(X1,X2) ) ) )
& ( ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( rs(X3,X4)
& cp(X4) ) )
& rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) ) ) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( sP0(X0)
| cp(X0)
| ! [X1] :
( ? [X3] :
( rinvF(X1,X3)
& ! [X4] :
( ~ rs(X3,X4)
| ~ cp(X4) ) )
| ~ rf(X0,X1)
| ? [X2] :
( ~ cp(X2)
& rinvS(X1,X2) ) ) )
& ( ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( rs(X3,X4)
& cp(X4) ) )
& rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) ) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( sP0(X0)
<=> ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( rs(X3,X4)
& cp(X4) ) )
& rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) ) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f197,plain,
sP0(i2003_11_14_17_18_54369),
inference(resolution,[],[f145,f157]) ).
fof(f157,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_54369),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f145,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( sP0(X0)
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( sP0(X0)
<=> cUnsatisfiable(X0) ),
inference(definition_folding,[],[f74,f97]) ).
fof(f74,plain,
! [X0] :
( ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( rs(X3,X4)
& cp(X4) ) )
& rf(X0,X1)
& ! [X2] :
( cp(X2)
| ~ rinvS(X1,X2) ) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( ? [X1] :
( rf(X0,X1)
& ! [X3] :
( rinvF(X1,X3)
=> ? [X4] :
( rs(X3,X4)
& cp(X4) ) )
& ! [X2] :
( rinvS(X1,X2)
=> cp(X2) ) )
& ~ cp(X0) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( ( ? [X4] :
( rf(X3,X4)
& ! [X5] :
( rinvS(X4,X5)
=> cp(X5) )
& ! [X5] :
( rinvF(X4,X5)
=> ? [X6] :
( cp(X6)
& rs(X5,X6) ) ) )
& ~ cp(X3) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f276,plain,
( cp(i2003_11_14_17_18_54369)
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f271,f197]) ).
fof(f271,plain,
( ~ sP0(i2003_11_14_17_18_54369)
| cp(i2003_11_14_17_18_54369)
| ~ spl7_1 ),
inference(resolution,[],[f258,f204]) ).
fof(f204,plain,
! [X0,X1] :
( ~ rs(X0,sK3(X1))
| ~ sP0(X1)
| cp(X0) ),
inference(resolution,[],[f135,f164]) ).
fof(f164,plain,
! [X0,X1] :
( rinvS(X1,X0)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( rs(X0,X1)
| ~ rinvS(X1,X0) )
& ( rinvS(X1,X0)
| ~ rs(X0,X1) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( rs(X0,X1)
<=> rinvS(X1,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X3] :
( rs(X4,X3)
<=> rinvS(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f135,plain,
! [X0,X8] :
( ~ rinvS(sK3(X0),X8)
| cp(X8)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f258,plain,
( rs(i2003_11_14_17_18_54369,sK3(i2003_11_14_17_18_54369))
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl7_1
<=> rs(i2003_11_14_17_18_54369,sK3(i2003_11_14_17_18_54369)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f264,plain,
spl7_1,
inference(avatar_split_clause,[],[f263,f256]) ).
fof(f263,plain,
rs(i2003_11_14_17_18_54369,sK3(i2003_11_14_17_18_54369)),
inference(subsumption_resolution,[],[f250,f197]) ).
fof(f250,plain,
( rs(i2003_11_14_17_18_54369,sK3(i2003_11_14_17_18_54369))
| ~ sP0(i2003_11_14_17_18_54369) ),
inference(superposition,[],[f237,f248]) ).
fof(f248,plain,
sK4(i2003_11_14_17_18_54369) = sK3(i2003_11_14_17_18_54369),
inference(resolution,[],[f247,f197]) ).
fof(f247,plain,
! [X0] :
( ~ sP0(X0)
| sK4(X0) = sK3(X0) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ~ sP0(X0)
| sK4(X0) = sK3(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f241,f208]) ).
fof(f208,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| ~ sP0(X0)
| sK3(X0) = X1 ),
inference(resolution,[],[f169,f136]) ).
fof(f136,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X1,X2,X0] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X2,X0] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4,X5] :
( ( rf(X3,X4)
& rf(X3,X5) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f241,plain,
! [X6] :
( rf(X6,sK4(X6))
| ~ sP0(X6) ),
inference(resolution,[],[f237,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X1,X0] :
( ~ rs(X1,X0)
| rf(X1,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( rs(X1,X0)
=> rf(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X3] :
( rs(X3,X4)
=> rf(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f237,plain,
! [X0] :
( rs(X0,sK4(X0))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f230,plain,
! [X0] :
( rs(X0,sK4(X0))
| ~ sP0(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f211,f136]) ).
fof(f211,plain,
! [X0,X1] :
( ~ rf(X0,sK3(X1))
| rs(X0,sK4(X0))
| ~ sP0(X1) ),
inference(resolution,[],[f138,f174]) ).
fof(f174,plain,
! [X0,X1] :
( rinvF(X1,X0)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( rinvF(X1,X0)
| ~ rf(X0,X1) )
& ( rf(X0,X1)
| ~ rinvF(X1,X0) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X1,X0] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f138,plain,
! [X0,X6] :
( ~ rinvF(sK3(X0),X6)
| rs(X6,sK4(X6))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.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 00:24:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (20413)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (20427)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.50 % (20405)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (20405)First to succeed.
% 0.19/0.51 % (20405)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (20405)------------------------------
% 0.19/0.51 % (20405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20405)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (20405)Memory used [KB]: 5500
% 0.19/0.51 % (20405)Time elapsed: 0.097 s
% 0.19/0.51 % (20405)Instructions burned: 6 (million)
% 0.19/0.51 % (20405)------------------------------
% 0.19/0.51 % (20405)------------------------------
% 0.19/0.51 % (20396)Success in time 0.157 s
%------------------------------------------------------------------------------