TSTP Solution File: KRS088+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS088+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 : n023.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 17:29:39 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 143 ( 10 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 169 ( 65 ~; 54 |; 38 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 85 ( 68 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(subsumption_resolution,[],[f163,f108]) ).
fof(f108,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_49673),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f163,plain,
~ cUnsatisfiable(i2003_11_14_17_19_49673),
inference(resolution,[],[f162,f149]) ).
fof(f149,plain,
! [X0] :
( ~ cp1(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cp1(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f145,f113]) ).
fof(f113,plain,
! [X0,X5] :
( ~ rinvF(sK1(X0),X5)
| ~ cUnsatisfiable(X0)
| ~ cp1(sK2(X5)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ( rinvF(X1,sK0(X1))
& ! [X3] :
( cp1(X3)
| ~ rf(sK0(X1),X3) ) )
| ~ cp1(X1) ) )
& ( ( rf(X0,sK1(X0))
& ! [X5] :
( ~ rinvF(sK1(X0),X5)
| ( ~ cp1(sK2(X5))
& rf(X5,sK2(X5)) ) )
& cp1(sK1(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f85,f88,f87,f86]) ).
fof(f86,plain,
! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& ! [X3] :
( cp1(X3)
| ~ rf(X2,X3) ) )
=> ( rinvF(X1,sK0(X1))
& ! [X3] :
( cp1(X3)
| ~ rf(sK0(X1),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ? [X4] :
( rf(X0,X4)
& ! [X5] :
( ~ rinvF(X4,X5)
| ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) ) )
& cp1(X4) )
=> ( rf(X0,sK1(X0))
& ! [X5] :
( ~ rinvF(sK1(X0),X5)
| ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) ) )
& cp1(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X5] :
( ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) )
=> ( ~ cp1(sK2(X5))
& rf(X5,sK2(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ? [X2] :
( rinvF(X1,X2)
& ! [X3] :
( cp1(X3)
| ~ rf(X2,X3) ) )
| ~ cp1(X1) ) )
& ( ? [X4] :
( rf(X0,X4)
& ! [X5] :
( ~ rinvF(X4,X5)
| ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) ) )
& cp1(X4) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ? [X2] :
( rinvF(X1,X2)
& ! [X3] :
( cp1(X3)
| ~ rf(X2,X3) ) )
| ~ cp1(X1) ) )
& ( ? [X1] :
( rf(X0,X1)
& ! [X2] :
( ~ rinvF(X1,X2)
| ? [X3] :
( ~ cp1(X3)
& rf(X2,X3) ) )
& cp1(X1) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( rf(X0,X1)
& ! [X2] :
( ~ rinvF(X1,X2)
| ? [X3] :
( ~ cp1(X3)
& rf(X2,X3) ) )
& cp1(X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( cp1(X1)
& ! [X2] :
( rinvF(X1,X2)
=> ? [X3] :
( ~ cp1(X3)
& rf(X2,X3) ) )
& rf(X0,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( ? [X4] :
( rf(X3,X4)
& ! [X5] :
( rinvF(X4,X5)
=> ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) ) )
& cp1(X4) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f145,plain,
! [X0] :
( rinvF(sK1(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f124,f114]) ).
fof(f114,plain,
! [X0] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rinvF(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( rf(X0,X1)
| ~ rinvF(X1,X0) )
& ( rinvF(X1,X0)
| ~ rf(X0,X1) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( ( rf(X1,X0)
| ~ rinvF(X0,X1) )
& ( rinvF(X0,X1)
| ~ rf(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( rf(X1,X0)
<=> rinvF(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3,X4] :
( rf(X4,X3)
<=> rinvF(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f162,plain,
cp1(sK2(i2003_11_14_17_19_49673)),
inference(backward_demodulation,[],[f144,f161]) ).
fof(f161,plain,
sK2(i2003_11_14_17_19_49673) = sK1(i2003_11_14_17_19_49673),
inference(resolution,[],[f157,f108]) ).
fof(f157,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK1(X0) = sK2(X0) ),
inference(duplicate_literal_removal,[],[f154]) ).
fof(f154,plain,
! [X0] :
( sK1(X0) = sK2(X0)
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f153,f146]) ).
fof(f146,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| ~ cUnsatisfiable(X1)
| sK1(X1) = X0 ),
inference(resolution,[],[f127,f114]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ rf(X1,X2)
| X0 = X2
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ rf(X1,X0)
| ~ rf(X1,X2) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X0,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X2,X1] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4,X5] :
( ( rf(X3,X5)
& rf(X3,X4) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f153,plain,
! [X0] :
( rf(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f152,plain,
! [X0] :
( rf(X0,sK2(X0))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f112,f145]) ).
fof(f112,plain,
! [X0,X5] :
( ~ rinvF(sK1(X0),X5)
| rf(X5,sK2(X5))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f144,plain,
cp1(sK1(i2003_11_14_17_19_49673)),
inference(resolution,[],[f111,f108]) ).
fof(f111,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK1(X0)) ),
inference(cnf_transformation,[],[f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS088+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
% 0.14/0.34 % Computer : n023.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 00:53:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.52 % (26639)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)
% 0.21/0.53 % (26639)Refutation not found, incomplete strategy% (26639)------------------------------
% 0.21/0.53 % (26639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (26639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26639)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (26639)Memory used [KB]: 5884
% 0.21/0.53 % (26639)Time elapsed: 0.004 s
% 0.21/0.53 % (26639)Instructions burned: 1 (million)
% 0.21/0.53 % (26639)------------------------------
% 0.21/0.53 % (26639)------------------------------
% 0.21/0.53 % (26650)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (26650)First to succeed.
% 0.21/0.54 % (26658)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.54 % (26650)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (26650)------------------------------
% 0.21/0.54 % (26650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (26650)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (26650)Memory used [KB]: 6012
% 0.21/0.54 % (26650)Time elapsed: 0.126 s
% 0.21/0.54 % (26650)Instructions burned: 2 (million)
% 0.21/0.54 % (26650)------------------------------
% 0.21/0.54 % (26650)------------------------------
% 0.21/0.54 % (26635)Success in time 0.192 s
%------------------------------------------------------------------------------