TSTP Solution File: KRS072+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS072+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_uns --cores 0 -t %d %s
% Computer : n027.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 17:29:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 185 ( 20 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 217 ( 74 ~; 67 |; 62 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 90 ( 64 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(avatar_sat_refutation,[],[f170,f179]) ).
fof(f179,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| spl4_2 ),
inference(resolution,[],[f168,f106]) ).
fof(f106,plain,
cUnsatisfiable(i2003_11_14_17_18_50190),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
cUnsatisfiable(i2003_11_14_17_18_50190),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f168,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| spl4_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl4_2
<=> cUnsatisfiable(i2003_11_14_17_18_50190) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f170,plain,
~ spl4_2,
inference(avatar_split_clause,[],[f162,f167]) ).
fof(f162,plain,
~ cUnsatisfiable(i2003_11_14_17_18_50190),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| ~ cUnsatisfiable(i2003_11_14_17_18_50190) ),
inference(superposition,[],[f147,f155]) ).
fof(f155,plain,
i2003_11_14_17_18_50190 = sK1(i2003_11_14_17_18_50190),
inference(resolution,[],[f154,f150]) ).
fof(f150,plain,
rr(sK0(i2003_11_14_17_18_50190),sK1(i2003_11_14_17_18_50190)),
inference(resolution,[],[f120,f106]) ).
fof(f120,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK0(X0),sK1(X0)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( ( ! [X2,X3] :
( ~ rr(sK0(X0),X2)
| X2 = X3
| ~ rr(sK0(X0),X3) )
& rr(sK0(X0),sK1(X0))
& cp1(sK1(X0))
& rinvR(X0,sK0(X0))
& cp2(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X5] :
( ( rr(X5,sK2(X5))
& sK3(X5) != sK2(X5)
& rr(X5,sK3(X5)) )
| ! [X8] :
( ~ rr(X5,X8)
| ~ cp1(X8) )
| ~ rinvR(X0,X5) )
| ~ cp2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f83,f86,f85,f84]) ).
fof(f84,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3] :
( ~ rr(X1,X2)
| X2 = X3
| ~ rr(X1,X3) )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) )
& rinvR(X0,X1) )
=> ( ! [X3,X2] :
( ~ rr(sK0(X0),X2)
| X2 = X3
| ~ rr(sK0(X0),X3) )
& ? [X4] :
( rr(sK0(X0),X4)
& cp1(X4) )
& rinvR(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X4] :
( rr(sK0(X0),X4)
& cp1(X4) )
=> ( rr(sK0(X0),sK1(X0))
& cp1(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X5] :
( ? [X6,X7] :
( rr(X5,X6)
& X6 != X7
& rr(X5,X7) )
=> ( rr(X5,sK2(X5))
& sK3(X5) != sK2(X5)
& rr(X5,sK3(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ( ( ? [X1] :
( ! [X2,X3] :
( ~ rr(X1,X2)
| X2 = X3
| ~ rr(X1,X3) )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) )
& rinvR(X0,X1) )
& cp2(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X5] :
( ? [X6,X7] :
( rr(X5,X6)
& X6 != X7
& rr(X5,X7) )
| ! [X8] :
( ~ rr(X5,X8)
| ~ cp1(X8) )
| ~ rinvR(X0,X5) )
| ~ cp2(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( ( ? [X1] :
( ! [X2,X3] :
( ~ rr(X1,X2)
| X2 = X3
| ~ rr(X1,X3) )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) )
& rinvR(X0,X1) )
& cp2(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ? [X2,X3] :
( rr(X1,X2)
& X2 != X3
& rr(X1,X3) )
| ! [X4] :
( ~ rr(X1,X4)
| ~ cp1(X4) )
| ~ rinvR(X0,X1) )
| ~ cp2(X0) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( ( ? [X1] :
( ! [X2,X3] :
( ~ rr(X1,X2)
| X2 = X3
| ~ rr(X1,X3) )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) )
& rinvR(X0,X1) )
& cp2(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ? [X2,X3] :
( rr(X1,X2)
& X2 != X3
& rr(X1,X3) )
| ! [X4] :
( ~ rr(X1,X4)
| ~ cp1(X4) )
| ~ rinvR(X0,X1) )
| ~ cp2(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ? [X1] :
( ! [X2,X3] :
( ~ rr(X1,X2)
| X2 = X3
| ~ rr(X1,X3) )
& ? [X4] :
( rr(X1,X4)
& cp1(X4) )
& rinvR(X0,X1) )
& cp2(X0) )
<=> cUnsatisfiable(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp2(X0)
& ? [X1] :
( rinvR(X0,X1)
& ? [X4] :
( rr(X1,X4)
& cp1(X4) )
& ! [X3,X2] :
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3) ) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp2(X0)
& ? [X1] :
( rinvR(X0,X1)
& ? [X4] :
( rr(X1,X4)
& cp1(X4) )
& ! [X3,X2] :
( ( rr(X1,X2)
& rr(X1,X3) )
=> X2 = X3 ) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( ( cp2(X3)
& ? [X4] :
( ! [X6,X5] :
( ( rr(X4,X5)
& rr(X4,X6) )
=> X5 = X6 )
& ? [X7] :
( rr(X4,X7)
& cp1(X7) )
& rinvR(X3,X4) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f154,plain,
! [X1] :
( ~ rr(sK0(i2003_11_14_17_18_50190),X1)
| i2003_11_14_17_18_50190 = X1 ),
inference(resolution,[],[f151,f152]) ).
fof(f152,plain,
rr(sK0(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190),
inference(resolution,[],[f149,f106]) ).
fof(f149,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK0(X0),X0) ),
inference(resolution,[],[f118,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ rinvR(X1,X0)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( rr(X0,X1)
| ~ rinvR(X1,X0) )
& ( rinvR(X1,X0)
| ~ rr(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( rr(X0,X1)
<=> rinvR(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X3] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f118,plain,
! [X0] :
( rinvR(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
! [X0,X1] :
( ~ rr(sK0(i2003_11_14_17_18_50190),X0)
| ~ rr(sK0(i2003_11_14_17_18_50190),X1)
| X0 = X1 ),
inference(resolution,[],[f121,f106]) ).
fof(f121,plain,
! [X2,X3,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(sK0(X0),X3)
| X2 = X3
| ~ rr(sK0(X0),X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f147,plain,
! [X0] :
( ~ cUnsatisfiable(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f119,f146]) ).
fof(f146,plain,
! [X0] :
( ~ cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f117,f102]) ).
fof(f102,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ cp1(X0)
| ( ~ cp2(X0)
& ~ cp5(X0)
& ~ cp3(X0)
& ~ cp4(X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( cp1(X0)
=> ~ ( cp3(X0)
| cp2(X0)
| cp4(X0)
| cp5(X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cp1(X3)
=> ~ ( cp2(X3)
| cp5(X3)
| cp3(X3)
| cp4(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f117,plain,
! [X0] :
( cp2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f119,plain,
! [X0] :
( cp1(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS072+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 00:47:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (13742)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (13758)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.50 % (13742)Refutation not found, incomplete strategy% (13742)------------------------------
% 0.20/0.50 % (13742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (13742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (13742)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (13742)Memory used [KB]: 5884
% 0.20/0.50 % (13742)Time elapsed: 0.004 s
% 0.20/0.50 % (13742)Instructions burned: 1 (million)
% 0.20/0.50 % (13742)------------------------------
% 0.20/0.50 % (13742)------------------------------
% 0.20/0.51 % (13758)Refutation not found, incomplete strategy% (13758)------------------------------
% 0.20/0.51 % (13758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (13758)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (13758)Memory used [KB]: 5884
% 0.20/0.51 % (13758)Time elapsed: 0.002 s
% 0.20/0.51 % (13758)Instructions burned: 1 (million)
% 0.20/0.51 % (13758)------------------------------
% 0.20/0.51 % (13758)------------------------------
% 0.20/0.51 % (13766)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (13748)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51 % (13766)First to succeed.
% 0.20/0.51 % (13766)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (13766)------------------------------
% 0.20/0.51 % (13766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (13766)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (13766)Memory used [KB]: 6012
% 0.20/0.51 % (13766)Time elapsed: 0.113 s
% 0.20/0.51 % (13766)Instructions burned: 3 (million)
% 0.20/0.51 % (13766)------------------------------
% 0.20/0.51 % (13766)------------------------------
% 0.20/0.51 % (13736)Success in time 0.154 s
%------------------------------------------------------------------------------