TSTP Solution File: KRS119+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS119+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 : n025.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 17:29:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 8 unt; 0 def)
% Number of atoms : 226 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 252 ( 92 ~; 83 |; 54 &)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 125 ( 100 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f377,plain,
$false,
inference(unit_resulting_resolution,[],[f212,f229,f294,f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ rr(X1,X0)
| ~ rr(X2,X1)
| rr(X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ rr(X2,X1)
| rr(X2,X0)
| ~ rr(X1,X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( ~ rr(X2,X0)
| rr(X2,X1)
| ~ rr(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( rr(X2,X1)
| ~ rr(X2,X0)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( rr(X2,X0)
& rr(X0,X1) )
=> rr(X2,X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X7,X3] :
( ( rr(X3,X4)
& rr(X4,X7) )
=> rr(X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f294,plain,
~ rr(i2003_11_14_17_21_44786,sK2(sK4(i2003_11_14_17_21_44786))),
inference(resolution,[],[f282,f205]) ).
fof(f205,plain,
cp1(i2003_11_14_17_21_44786),
inference(resolution,[],[f181,f169]) ).
fof(f169,plain,
cUnsatisfiable(i2003_11_14_17_21_44786),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_44786),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f181,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ca_Vx3(sK4(X0))
& rr(X0,sK4(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f135,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X2] :
( ca_Vx3(X2)
& rr(X0,X2) )
=> ( ca_Vx3(sK4(X0))
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ? [X2] :
( ca_Vx3(X2)
& rr(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ ca_Vx3(X1)
| ~ rr(X0,X1) ) )
& ( ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( ca_Vx3(X1)
& rr(X0,X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp1(X3)
& ? [X4] :
( ca_Vx3(X4)
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f282,plain,
! [X0] :
( ~ cp1(X0)
| ~ rr(X0,sK2(sK4(i2003_11_14_17_21_44786))) ),
inference(resolution,[],[f271,f218]) ).
fof(f218,plain,
ca_Ax2(sK2(sK4(i2003_11_14_17_21_44786))),
inference(resolution,[],[f206,f169]) ).
fof(f206,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK2(sK4(X0))) ),
inference(resolution,[],[f180,f163]) ).
fof(f163,plain,
! [X0] :
( ~ ca_Vx3(X0)
| ca_Ax2(sK2(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( ( ca_Ax2(sK2(X0))
& rr(X0,sK2(X0)) )
| ~ ca_Vx3(X0) )
& ( ca_Vx3(X0)
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rr(X0,X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f119,f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( ca_Ax2(X1)
& rr(X0,X1) )
=> ( ca_Ax2(sK2(X0))
& rr(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ( ? [X1] :
( ca_Ax2(X1)
& rr(X0,X1) )
| ~ ca_Vx3(X0) )
& ( ca_Vx3(X0)
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rr(X0,X2) ) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( ? [X1] :
( ca_Ax2(X1)
& rr(X0,X1) )
| ~ ca_Vx3(X0) )
& ( ca_Vx3(X0)
| ! [X1] :
( ~ ca_Ax2(X1)
| ~ rr(X0,X1) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1] :
( ca_Ax2(X1)
& rr(X0,X1) )
<=> ca_Vx3(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( ca_Ax2(X4)
& rr(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f180,plain,
! [X0] :
( ca_Vx3(sK4(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f271,plain,
! [X2,X3] :
( ~ ca_Ax2(X3)
| ~ cp1(X2)
| ~ rr(X2,X3) ),
inference(resolution,[],[f262,f147]) ).
fof(f147,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp1(X0) )
& ( cp1(X0)
| ra_Px1(X0,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f104,f105]) ).
fof(f105,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp1(X0) )
& ( cp1(X0)
| ? [X2] : ra_Px1(X0,X2) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp1(X0) )
& ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
<=> cp1(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ ? [X1] : ra_Px1(X0,X1)
<=> cp1(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3] :
( ~ ? [X4] : ra_Px1(X3,X4)
<=> cp1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f262,plain,
! [X0,X1] :
( ra_Px1(X0,sK3(X0))
| ~ rr(X0,X1)
| ~ ca_Ax2(X1) ),
inference(resolution,[],[f214,f141]) ).
fof(f141,plain,
! [X0,X1] :
( rinvR(X1,X0)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( rinvR(X1,X0)
| ~ rr(X0,X1) )
& ( rr(X0,X1)
| ~ rinvR(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( rinvR(X1,X0)
<=> rr(X0,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X3] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f214,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| ra_Px1(X1,sK3(X1))
| ~ ca_Ax2(X0) ),
inference(resolution,[],[f156,f176]) ).
fof(f176,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ cp1xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f130,f131]) ).
fof(f131,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cp1xcomp(X0) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cp1xcomp(X0) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> cp1xcomp(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f156,plain,
! [X0,X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ( ~ cp1xcomp(sK1(X0))
& rinvR(X0,sK1(X0)) )
| ~ cp1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f112,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X2] :
( ~ cp1xcomp(X2)
& rinvR(X0,X2) )
=> ( ~ cp1xcomp(sK1(X0))
& rinvR(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ( ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ? [X2] :
( ~ cp1xcomp(X2)
& rinvR(X0,X2) )
| ~ cp1(X0) ) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ? [X1] :
( ~ cp1xcomp(X1)
& rinvR(X0,X1) )
| ~ cp1(X0) ) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) )
| ~ ca_Ax2(X0) )
& ( ca_Ax2(X0)
| ? [X1] :
( ~ cp1xcomp(X1)
& rinvR(X0,X1) )
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( ! [X1] :
( cp1xcomp(X1)
| ~ rinvR(X0,X1) )
& cp1(X0) )
<=> ca_Ax2(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cp1(X0)
& ! [X1] :
( rinvR(X0,X1)
=> cp1xcomp(X1) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( ( cp1(X3)
& ! [X4] :
( rinvR(X3,X4)
=> cp1xcomp(X4) ) )
<=> ca_Ax2(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f229,plain,
rr(sK4(i2003_11_14_17_21_44786),sK2(sK4(i2003_11_14_17_21_44786))),
inference(resolution,[],[f209,f169]) ).
fof(f209,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK4(X0),sK2(sK4(X0))) ),
inference(resolution,[],[f162,f180]) ).
fof(f162,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f212,plain,
rr(i2003_11_14_17_21_44786,sK4(i2003_11_14_17_21_44786)),
inference(resolution,[],[f179,f169]) ).
fof(f179,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS119+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:42:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (28595)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.49 % (28595)Refutation not found, incomplete strategy% (28595)------------------------------
% 0.20/0.49 % (28595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (28602)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)
% 0.20/0.49 % (28595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (28595)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (28595)Memory used [KB]: 1535
% 0.20/0.49 % (28595)Time elapsed: 0.004 s
% 0.20/0.49 % (28595)Instructions burned: 3 (million)
% 0.20/0.49 % (28595)------------------------------
% 0.20/0.49 % (28595)------------------------------
% 0.20/0.49 % (28586)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)
% 0.20/0.50 % (28586)Refutation not found, incomplete strategy% (28586)------------------------------
% 0.20/0.50 % (28586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28586)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (28586)Memory used [KB]: 5884
% 0.20/0.50 % (28586)Time elapsed: 0.003 s
% 0.20/0.50 % (28586)Instructions burned: 1 (million)
% 0.20/0.50 % (28586)------------------------------
% 0.20/0.50 % (28586)------------------------------
% 0.20/0.50 % (28602)Refutation not found, incomplete strategy% (28602)------------------------------
% 0.20/0.50 % (28602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28602)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (28602)Memory used [KB]: 5884
% 0.20/0.50 % (28602)Time elapsed: 0.002 s
% 0.20/0.50 % (28602)Instructions burned: 1 (million)
% 0.20/0.50 % (28602)------------------------------
% 0.20/0.50 % (28602)------------------------------
% 0.20/0.50 % (28610)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)
% 0.20/0.50 % (28610)First to succeed.
% 0.20/0.50 % (28594)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (28610)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (28610)------------------------------
% 0.20/0.50 % (28610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28610)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (28610)Memory used [KB]: 6140
% 0.20/0.50 % (28610)Time elapsed: 0.107 s
% 0.20/0.50 % (28610)Instructions burned: 7 (million)
% 0.20/0.50 % (28610)------------------------------
% 0.20/0.50 % (28610)------------------------------
% 0.20/0.50 % (28582)Success in time 0.151 s
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