TSTP Solution File: KRS076+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS076+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 : 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 17:30:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 7 unt; 0 def)
% Number of atoms : 246 ( 29 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 293 ( 112 ~; 101 |; 61 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 161 ( 134 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f401,plain,
$false,
inference(resolution,[],[f400,f158]) ).
fof(f158,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f400,plain,
~ cUnsatisfiable(i2003_11_14_17_19_06193),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f399,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(resolution,[],[f380,f154]) ).
fof(f154,plain,
! [X0] :
( cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ( rinvF1(X2,sK0(X2))
& ! [X4] :
( ~ cowlThing(X4)
| ~ rs(sK0(X2),X4) ) ) ) )
& ( ( cp(sK1(X0))
& rf(X0,sK1(X0))
& rf1(X0,sK2(X0))
& ~ cp(sK2(X0))
& ! [X7] :
( ~ rinvF1(sK2(X0),X7)
| ( cowlThing(sK3(X7))
& rs(X7,sK3(X7)) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f115,f119,f118,f117,f116]) ).
fof(f116,plain,
! [X2] :
( ? [X3] :
( rinvF1(X2,X3)
& ! [X4] :
( ~ cowlThing(X4)
| ~ rs(X3,X4) ) )
=> ( rinvF1(X2,sK0(X2))
& ! [X4] :
( ~ cowlThing(X4)
| ~ rs(sK0(X2),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ? [X5] :
( cp(X5)
& rf(X0,X5) )
=> ( cp(sK1(X0))
& rf(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ? [X6] :
( rf1(X0,X6)
& ~ cp(X6)
& ! [X7] :
( ~ rinvF1(X6,X7)
| ? [X8] :
( cowlThing(X8)
& rs(X7,X8) ) ) )
=> ( rf1(X0,sK2(X0))
& ~ cp(sK2(X0))
& ! [X7] :
( ~ rinvF1(sK2(X0),X7)
| ? [X8] :
( cowlThing(X8)
& rs(X7,X8) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X7] :
( ? [X8] :
( cowlThing(X8)
& rs(X7,X8) )
=> ( cowlThing(sK3(X7))
& rs(X7,sK3(X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ? [X3] :
( rinvF1(X2,X3)
& ! [X4] :
( ~ cowlThing(X4)
| ~ rs(X3,X4) ) ) ) )
& ( ( ? [X5] :
( cp(X5)
& rf(X0,X5) )
& ? [X6] :
( rf1(X0,X6)
& ~ cp(X6)
& ! [X7] :
( ~ rinvF1(X6,X7)
| ? [X8] :
( cowlThing(X8)
& rs(X7,X8) ) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ? [X3] :
( rinvF1(X2,X3)
& ! [X4] :
( ~ cowlThing(X4)
| ~ rs(X3,X4) ) ) ) )
& ( ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X2] :
( rf1(X0,X2)
& ~ cp(X2)
& ! [X3] :
( ~ rinvF1(X2,X3)
| ? [X4] :
( cowlThing(X4)
& rs(X3,X4) ) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rf(X0,X1) )
| ! [X2] :
( ~ rf1(X0,X2)
| cp(X2)
| ? [X3] :
( rinvF1(X2,X3)
& ! [X4] :
( ~ cowlThing(X4)
| ~ rs(X3,X4) ) ) ) )
& ( ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X2] :
( rf1(X0,X2)
& ~ cp(X2)
& ! [X3] :
( ~ rinvF1(X2,X3)
| ? [X4] :
( cowlThing(X4)
& rs(X3,X4) ) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X2] :
( rf1(X0,X2)
& ~ cp(X2)
& ! [X3] :
( ~ rinvF1(X2,X3)
| ? [X4] :
( cowlThing(X4)
& rs(X3,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X2] :
( ! [X3] :
( rinvF1(X2,X3)
=> ? [X4] :
( cowlThing(X4)
& rs(X3,X4) ) )
& rf1(X0,X2)
& ~ cp(X2) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( rf(X3,X4)
& cp(X4) )
& ? [X4] :
( ! [X5] :
( rinvF1(X4,X5)
=> ? [X6] :
( cowlThing(X6)
& rs(X5,X6) ) )
& rf1(X3,X4)
& ~ cp(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f380,plain,
( ~ cp(sK1(i2003_11_14_17_19_06193))
| ~ cUnsatisfiable(i2003_11_14_17_19_06193) ),
inference(superposition,[],[f151,f370]) ).
fof(f370,plain,
sK1(i2003_11_14_17_19_06193) = sK2(i2003_11_14_17_19_06193),
inference(backward_demodulation,[],[f310,f367]) ).
fof(f367,plain,
sK1(i2003_11_14_17_19_06193) = sK3(i2003_11_14_17_19_06193),
inference(resolution,[],[f360,f158]) ).
fof(f360,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(X0) = sK1(X0) ),
inference(duplicate_literal_removal,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(X0) = sK1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f356,f153]) ).
fof(f153,plain,
! [X0] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f356,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| sK3(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f353,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf(X0,X1)
| sK3(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f285,f152]) ).
fof(f152,plain,
! [X0] :
( rf1(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| ~ rf1(X0,sK2(X2))
| sK3(X0) = X1
| ~ cUnsatisfiable(X2) ),
inference(resolution,[],[f241,f159]) ).
fof(f159,plain,
! [X0,X1] :
( rinvF1(X0,X1)
| ~ rf1(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( rf1(X1,X0)
| ~ rinvF1(X0,X1) )
& ( rinvF1(X0,X1)
| ~ rf1(X1,X0) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X1,X0] :
( ( rf1(X0,X1)
| ~ rinvF1(X1,X0) )
& ( rinvF1(X1,X0)
| ~ rf1(X0,X1) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( rf1(X0,X1)
<=> rinvF1(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X3] :
( rinvF1(X3,X4)
<=> rf1(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f241,plain,
! [X10,X8,X9] :
( ~ rinvF1(sK2(X8),X9)
| ~ rf(X9,X10)
| ~ cUnsatisfiable(X8)
| sK3(X9) = X10 ),
inference(resolution,[],[f149,f198]) ).
fof(f198,plain,
! [X6,X7,X5] :
( ~ rs(X5,X7)
| ~ rf(X5,X6)
| X6 = X7 ),
inference(resolution,[],[f132,f167]) ).
fof(f167,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rs(X1,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rs(X1,X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,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/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ rf(X2,X1)
| ~ rf(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ rf(X2,X0)
| ~ rf(X2,X1) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X2,X0] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X2,X1] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( ( 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/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f149,plain,
! [X0,X7] :
( rs(X7,sK3(X7))
| ~ cUnsatisfiable(X0)
| ~ rinvF1(sK2(X0),X7) ),
inference(cnf_transformation,[],[f120]) ).
fof(f310,plain,
sK2(i2003_11_14_17_19_06193) = sK3(i2003_11_14_17_19_06193),
inference(resolution,[],[f309,f158]) ).
fof(f309,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK2(X0) = sK3(X0) ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK2(X0) = sK3(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f305,f152]) ).
fof(f305,plain,
! [X0,X1] :
( ~ rf1(X0,sK2(X1))
| ~ cUnsatisfiable(X1)
| sK2(X1) = sK3(X0) ),
inference(resolution,[],[f304,f159]) ).
fof(f304,plain,
! [X0,X1] :
( ~ rinvF1(sK2(X0),X1)
| sK3(X1) = sK2(X0)
| ~ cUnsatisfiable(X0) ),
inference(factoring,[],[f265]) ).
fof(f265,plain,
! [X3,X4,X5] :
( ~ rinvF1(sK2(X5),X4)
| ~ rinvF1(X3,X4)
| sK3(X4) = X3
| ~ cUnsatisfiable(X5) ),
inference(resolution,[],[f231,f149]) ).
fof(f231,plain,
! [X6,X7,X5] :
( ~ rs(X5,X6)
| ~ rinvF1(X7,X5)
| X6 = X7 ),
inference(resolution,[],[f204,f160]) ).
fof(f160,plain,
! [X0,X1] :
( rf1(X1,X0)
| ~ rinvF1(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f204,plain,
! [X2,X3,X4] :
( ~ rs(X2,X4)
| ~ rf1(X2,X3)
| X3 = X4 ),
inference(resolution,[],[f162,f173]) ).
fof(f173,plain,
! [X0,X1] :
( rf1(X1,X0)
| ~ rs(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( rf1(X1,X0)
| ~ rs(X1,X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( rs(X1,X0)
=> rf1(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X3] :
( rs(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X2,X0] :
( ~ rf1(X1,X2)
| ~ rf1(X1,X0)
| X0 = X2 ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( X0 = X2
| ~ rf1(X1,X2)
| ~ rf1(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( ( rf1(X1,X2)
& rf1(X1,X0) )
=> X0 = X2 ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X5,X3,X4] :
( ( rf1(X3,X4)
& rf1(X3,X5) )
=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f151,plain,
! [X0] :
( ~ cp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% 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
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 00:35:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (31885)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (31893)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (31893)First to succeed.
% 0.20/0.49 % (31885)Refutation not found, incomplete strategy% (31885)------------------------------
% 0.20/0.49 % (31885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (31885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (31885)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (31885)Memory used [KB]: 5500
% 0.20/0.49 % (31885)Time elapsed: 0.078 s
% 0.20/0.49 % (31885)Instructions burned: 3 (million)
% 0.20/0.49 % (31885)------------------------------
% 0.20/0.49 % (31885)------------------------------
% 0.20/0.49 % (31893)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (31893)------------------------------
% 0.20/0.49 % (31893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (31893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (31893)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (31893)Memory used [KB]: 1151
% 0.20/0.49 % (31893)Time elapsed: 0.076 s
% 0.20/0.49 % (31893)Instructions burned: 13 (million)
% 0.20/0.49 % (31893)------------------------------
% 0.20/0.49 % (31893)------------------------------
% 0.20/0.49 % (31880)Success in time 0.135 s
%------------------------------------------------------------------------------