TSTP Solution File: KRS085+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS085+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 : n022.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 17:30:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 210 ( 81 ~; 65 |; 52 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 95 ( 75 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,plain,
$false,
inference(resolution,[],[f166,f93]) ).
fof(f93,plain,
cUnsatisfiable(i2003_11_14_17_19_39537),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_39537),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f166,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f163,f122]) ).
fof(f122,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ( rinvR(X2,sK0(X2))
& cp1(sK0(X2)) )
| ~ cp1(X2)
| ~ rr(X1,X2) ) ) )
& ( ( cp1(X0)
& rr(X0,sK1(X0))
& ! [X6] :
( ~ rinvR(sK2(X0),X6)
| ~ cp1(X6) )
& cp1(sK2(X0))
& rr(sK1(X0),sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f88,f91,f90,f89]) ).
fof(f89,plain,
! [X2] :
( ? [X3] :
( rinvR(X2,X3)
& cp1(X3) )
=> ( rinvR(X2,sK0(X2))
& cp1(sK0(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ? [X4] :
( rr(X0,X4)
& ? [X5] :
( ! [X6] :
( ~ rinvR(X5,X6)
| ~ cp1(X6) )
& cp1(X5)
& rr(X4,X5) ) )
=> ( rr(X0,sK1(X0))
& ? [X5] :
( ! [X6] :
( ~ rinvR(X5,X6)
| ~ cp1(X6) )
& cp1(X5)
& rr(sK1(X0),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ rinvR(X5,X6)
| ~ cp1(X6) )
& cp1(X5)
& rr(sK1(X0),X5) )
=> ( ! [X6] :
( ~ rinvR(sK2(X0),X6)
| ~ cp1(X6) )
& cp1(sK2(X0))
& rr(sK1(X0),sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ? [X3] :
( rinvR(X2,X3)
& cp1(X3) )
| ~ cp1(X2)
| ~ rr(X1,X2) ) ) )
& ( ( cp1(X0)
& ? [X4] :
( rr(X0,X4)
& ? [X5] :
( ! [X6] :
( ~ rinvR(X5,X6)
| ~ cp1(X6) )
& cp1(X5)
& rr(X4,X5) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ? [X3] :
( rinvR(X2,X3)
& cp1(X3) )
| ~ cp1(X2)
| ~ rr(X1,X2) ) ) )
& ( ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ rinvR(X2,X3)
| ~ cp1(X3) )
& cp1(X2)
& rr(X1,X2) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ? [X3] :
( rinvR(X2,X3)
& cp1(X3) )
| ~ cp1(X2)
| ~ rr(X1,X2) ) ) )
& ( ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ rinvR(X2,X3)
| ~ cp1(X3) )
& cp1(X2)
& rr(X1,X2) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ rinvR(X2,X3)
| ~ cp1(X3) )
& cp1(X2)
& rr(X1,X2) ) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) )
& rr(X1,X2)
& cp1(X2) ) )
& cp1(X0) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp1(X3)
& ? [X4] :
( rr(X3,X4)
& ? [X5] :
( cp1(X5)
& ! [X6] :
( rinvR(X5,X6)
=> ~ cp1(X6) )
& rr(X4,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f163,plain,
! [X0] :
( ~ cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f159,f121]) ).
fof(f121,plain,
! [X0] :
( rr(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f159,plain,
! [X8,X7] :
( ~ rr(X7,sK1(X8))
| ~ cUnsatisfiable(X8)
| ~ cp1(X7) ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f153,plain,
! [X8,X7] :
( ~ cUnsatisfiable(X8)
| ~ rr(X7,sK1(X8))
| ~ cUnsatisfiable(X8)
| ~ cp1(X7) ),
inference(resolution,[],[f145,f118]) ).
fof(f118,plain,
! [X0] :
( rr(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ rr(X1,sK2(X2))
| ~ rr(X0,X1)
| ~ cp1(X0)
| ~ cUnsatisfiable(X2) ),
inference(resolution,[],[f112,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ rr(X1,sK2(X0))
| ~ cp1(X1)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f120,f114]) ).
fof(f114,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( ( rinvR(X1,X0)
| ~ rr(X0,X1) )
& ( rr(X0,X1)
| ~ rinvR(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( rinvR(X1,X0)
<=> rr(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X3] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f120,plain,
! [X0,X6] :
( ~ rinvR(sK2(X0),X6)
| ~ cUnsatisfiable(X0)
| ~ cp1(X6) ),
inference(cnf_transformation,[],[f92]) ).
fof(f112,plain,
! [X2,X0,X1] :
( rr(X1,X0)
| ~ rr(X1,X2)
| ~ rr(X2,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ rr(X1,X2)
| rr(X1,X0)
| ~ rr(X2,X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X2,X1] :
( ~ rr(X2,X1)
| rr(X2,X0)
| ~ rr(X1,X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X2,X0] :
( rr(X2,X0)
| ~ rr(X2,X1)
| ~ rr(X1,X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X2,X0] :
( ( rr(X2,X1)
& rr(X1,X0) )
=> rr(X2,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X4,X3] :
( ( rr(X3,X4)
& rr(X4,X5) )
=> rr(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS085+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 00:33:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (2402)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)
% 0.19/0.46 % (2413)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.46 % (2421)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.47 % (2410)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 % (2402)First to succeed.
% 0.19/0.47 % (2402)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (2402)------------------------------
% 0.19/0.47 % (2402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (2402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (2402)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (2402)Memory used [KB]: 1023
% 0.19/0.47 % (2402)Time elapsed: 0.101 s
% 0.19/0.47 % (2402)Instructions burned: 2 (million)
% 0.19/0.47 % (2402)------------------------------
% 0.19/0.47 % (2402)------------------------------
% 0.19/0.47 % (2392)Success in time 0.13 s
%------------------------------------------------------------------------------