TSTP Solution File: KRS127+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS127+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 : n017.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 17:29:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 4 unt; 0 def)
% Number of atoms : 201 ( 17 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 238 ( 85 ~; 75 |; 60 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 117 ( 83 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(resolution,[],[f151,f92]) ).
fof(f92,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f151,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(subsumption_resolution,[],[f150,f136]) ).
fof(f136,plain,
! [X0] :
( ~ cc(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f135,f109]) ).
fof(f109,plain,
! [X0] :
( cd(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& rr(X0,sK2(X0))
& cc(sK2(X0))
& rr(X0,sK3(X0))
& cd(sK3(X0)) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ( rr(X0,sK4(X0))
& sK5(X0) != sK4(X0)
& rr(X0,sK5(X0)) )
| ! [X7] :
( ~ rr(X0,X7)
| ~ cc(X7) )
| ! [X8] :
( ~ rr(X0,X8)
| ~ cd(X8) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f81,f84,f83,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X3] :
( rr(X0,X3)
& cc(X3) )
=> ( rr(X0,sK2(X0))
& cc(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ? [X4] :
( rr(X0,X4)
& cd(X4) )
=> ( rr(X0,sK3(X0))
& cd(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ? [X5,X6] :
( rr(X0,X5)
& X5 != X6
& rr(X0,X6) )
=> ( rr(X0,sK4(X0))
& sK5(X0) != sK4(X0)
& rr(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ( ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& ? [X3] :
( rr(X0,X3)
& cc(X3) )
& ? [X4] :
( rr(X0,X4)
& cd(X4) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ? [X5,X6] :
( rr(X0,X5)
& X5 != X6
& rr(X0,X6) )
| ! [X7] :
( ~ rr(X0,X7)
| ~ cc(X7) )
| ! [X8] :
( ~ rr(X0,X8)
| ~ cd(X8) ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& ? [X4] :
( rr(X0,X4)
& cc(X4) )
& ? [X3] :
( rr(X0,X3)
& cd(X3) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
| ! [X4] :
( ~ rr(X0,X4)
| ~ cc(X4) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ cd(X3) ) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& ? [X4] :
( rr(X0,X4)
& cc(X4) )
& ? [X3] :
( rr(X0,X3)
& cd(X3) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ? [X1,X2] :
( rr(X0,X1)
& X1 != X2
& rr(X0,X2) )
| ! [X4] :
( ~ rr(X0,X4)
| ~ cc(X4) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ cd(X3) ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( ! [X1,X2] :
( ~ rr(X0,X1)
| X1 = X2
| ~ rr(X0,X2) )
& ? [X4] :
( rr(X0,X4)
& cc(X4) )
& ? [X3] :
( rr(X0,X3)
& cd(X3) ) )
<=> cUnsatisfiable(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( ? [X4] :
( rr(X0,X4)
& cc(X4) )
& ? [X3] :
( rr(X0,X3)
& cd(X3) )
& ! [X1,X2] :
( X1 = X2
| ~ rr(X0,X1)
| ~ rr(X0,X2) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( ? [X4] :
( rr(X0,X4)
& cc(X4) )
& ? [X3] :
( rr(X0,X3)
& cd(X3) )
& ! [X1,X2] :
( ( rr(X0,X1)
& rr(X0,X2) )
=> X1 = X2 ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ! [X5,X6] :
( ( rr(X3,X5)
& rr(X3,X6) )
=> X5 = X6 )
& ? [X4] :
( cd(X4)
& rr(X3,X4) )
& ? [X4] :
( cc(X4)
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f135,plain,
! [X1] :
( ~ cd(X1)
| ~ cc(X1) ),
inference(resolution,[],[f133,f89]) ).
fof(f89,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( cc(X3)
=> cdxcomp(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f133,plain,
! [X1] :
( ~ cdxcomp(X1)
| ~ cd(X1) ),
inference(resolution,[],[f97,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) )
& ( cd(X0)
| ra_Px1(X0,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f65,f66]) ).
fof(f66,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) )
& ( cd(X0)
| ? [X2] : ra_Px1(X0,X2) ) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) )
& ( cd(X0)
| ? [X1] : ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
<=> cd(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cd(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f97,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ra_Px1(X0,sK1(X0))
| ~ cdxcomp(X0) )
& ( cdxcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f72,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) )
& ( cdxcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) )
& ( cdxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
<=> cdxcomp(X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> cdxcomp(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f150,plain,
! [X0] :
( cc(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| cc(sK3(X0)) ),
inference(resolution,[],[f144,f110]) ).
fof(f110,plain,
! [X0] :
( rr(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f144,plain,
! [X2,X3] :
( ~ rr(X2,X3)
| cc(X3)
| ~ cUnsatisfiable(X2) ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f143,plain,
! [X2,X3] :
( cc(X3)
| ~ cUnsatisfiable(X2)
| ~ rr(X2,X3)
| ~ cUnsatisfiable(X2) ),
inference(superposition,[],[f111,f139]) ).
fof(f139,plain,
! [X2,X3] :
( sK2(X2) = X3
| ~ cUnsatisfiable(X2)
| ~ rr(X2,X3) ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f138,plain,
! [X2,X3] :
( ~ cUnsatisfiable(X2)
| ~ cUnsatisfiable(X2)
| ~ rr(X2,X3)
| sK2(X2) = X3 ),
inference(resolution,[],[f113,f112]) ).
fof(f112,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f111,plain,
! [X0] :
( cc(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS127+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 23:58:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (8828)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (8828)Refutation not found, incomplete strategy% (8828)------------------------------
% 0.19/0.51 % (8828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8825)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (8826)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (8828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8828)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (8828)Memory used [KB]: 5884
% 0.19/0.51 % (8828)Time elapsed: 0.002 s
% 0.19/0.51 % (8828)------------------------------
% 0.19/0.51 % (8828)------------------------------
% 0.19/0.51 % (8826)Refutation not found, incomplete strategy% (8826)------------------------------
% 0.19/0.51 % (8826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8826)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (8826)Memory used [KB]: 5884
% 0.19/0.51 % (8826)Time elapsed: 0.002 s
% 0.19/0.51 % (8826)Instructions burned: 2 (million)
% 0.19/0.51 % (8826)------------------------------
% 0.19/0.51 % (8826)------------------------------
% 0.19/0.51 % (8820)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (8820)First to succeed.
% 0.19/0.52 % (8820)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8820)------------------------------
% 0.19/0.52 % (8820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8820)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8820)Memory used [KB]: 6012
% 0.19/0.52 % (8820)Time elapsed: 0.119 s
% 0.19/0.52 % (8820)Instructions burned: 2 (million)
% 0.19/0.52 % (8820)------------------------------
% 0.19/0.52 % (8820)------------------------------
% 0.19/0.52 % (8819)Success in time 0.167 s
%------------------------------------------------------------------------------