TSTP Solution File: KRS077+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS077+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 : n029.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 17:29:37 EDT 2022
% Result : Unsatisfiable 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 5 unt; 0 def)
% Number of atoms : 224 ( 18 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 277 ( 98 ~; 86 |; 75 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 125 ( 95 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(resolution,[],[f202,f111]) ).
fof(f111,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
cUnsatisfiable(i2003_11_14_17_19_09372),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f202,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(resolution,[],[f201,f106]) ).
fof(f106,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( sP0(X0)
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( sP0(X0)
<=> cUnsatisfiable(X0) ),
inference(definition_folding,[],[f31,f57]) ).
fof(f57,plain,
! [X0] :
( sP0(X0)
<=> ( ? [X3] :
( cp(X3)
& rs(X0,X3) )
& ~ cp(X0)
& ! [X5,X4] :
( X4 = X5
| ~ rr(X0,X4)
| ~ rr(X0,X5) )
& ? [X1] :
( ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rr(X0,X1) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f31,plain,
! [X0] :
( ( ? [X3] :
( cp(X3)
& rs(X0,X3) )
& ~ cp(X0)
& ! [X5,X4] :
( X4 = X5
| ~ rr(X0,X4)
| ~ rr(X0,X5) )
& ? [X1] :
( ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rr(X0,X1) ) )
<=> cUnsatisfiable(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( ~ cp(X0)
& ! [X4,X5] :
( X4 = X5
| ~ rr(X0,X4)
| ~ rr(X0,X5) )
& ? [X1] :
( ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rr(X0,X1) )
& ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ~ cp(X0)
& ! [X4,X5] :
( ( rr(X0,X4)
& rr(X0,X5) )
=> X4 = X5 )
& ? [X1] :
( ! [X2] :
( rinvS(X1,X2)
=> cp(X2) )
& rr(X0,X1) )
& ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X6] :
( ! [X7] :
( rinvS(X6,X7)
=> cp(X7) )
& rr(X3,X6) )
& ? [X6] :
( rs(X3,X6)
& cp(X6) )
& ! [X5,X4] :
( ( rr(X3,X5)
& rr(X3,X4) )
=> X4 = X5 )
& ~ cp(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f201,plain,
! [X0] : ~ sP0(X0),
inference(subsumption_resolution,[],[f199,f96]) ).
fof(f96,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| cp(X0)
| ( sK2(X0) != sK1(X0)
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) )
| ! [X4] :
( ( rinvS(X4,sK3(X4))
& ~ cp(sK3(X4)) )
| ~ rr(X0,X4) ) )
& ( ( cp(sK4(X0))
& rs(X0,sK4(X0))
& ~ cp(X0)
& ! [X7,X8] :
( X7 = X8
| ~ rr(X0,X8)
| ~ rr(X0,X7) )
& ! [X10] :
( ~ rinvS(sK5(X0),X10)
| cp(X10) )
& rr(X0,sK5(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f69,f73,f72,f71,f70]) ).
fof(f70,plain,
! [X0] :
( ? [X2,X3] :
( X2 != X3
& rr(X0,X3)
& rr(X0,X2) )
=> ( sK2(X0) != sK1(X0)
& rr(X0,sK2(X0))
& rr(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X4] :
( ? [X5] :
( rinvS(X4,X5)
& ~ cp(X5) )
=> ( rinvS(X4,sK3(X4))
& ~ cp(sK3(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X6] :
( cp(X6)
& rs(X0,X6) )
=> ( cp(sK4(X0))
& rs(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X9] :
( ! [X10] :
( ~ rinvS(X9,X10)
| cp(X10) )
& rr(X0,X9) )
=> ( ! [X10] :
( ~ rinvS(sK5(X0),X10)
| cp(X10) )
& rr(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ cp(X1)
| ~ rs(X0,X1) )
| cp(X0)
| ? [X2,X3] :
( X2 != X3
& rr(X0,X3)
& rr(X0,X2) )
| ! [X4] :
( ? [X5] :
( rinvS(X4,X5)
& ~ cp(X5) )
| ~ rr(X0,X4) ) )
& ( ( ? [X6] :
( cp(X6)
& rs(X0,X6) )
& ~ cp(X0)
& ! [X7,X8] :
( X7 = X8
| ~ rr(X0,X8)
| ~ rr(X0,X7) )
& ? [X9] :
( ! [X10] :
( ~ rinvS(X9,X10)
| cp(X10) )
& rr(X0,X9) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sP0(X0)
| ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) )
| cp(X0)
| ? [X5,X4] :
( X4 != X5
& rr(X0,X4)
& rr(X0,X5) )
| ! [X1] :
( ? [X2] :
( rinvS(X1,X2)
& ~ cp(X2) )
| ~ rr(X0,X1) ) )
& ( ( ? [X3] :
( cp(X3)
& rs(X0,X3) )
& ~ cp(X0)
& ! [X5,X4] :
( X4 = X5
| ~ rr(X0,X4)
| ~ rr(X0,X5) )
& ? [X1] :
( ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rr(X0,X1) ) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( sP0(X0)
| ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) )
| cp(X0)
| ? [X5,X4] :
( X4 != X5
& rr(X0,X4)
& rr(X0,X5) )
| ! [X1] :
( ? [X2] :
( rinvS(X1,X2)
& ~ cp(X2) )
| ~ rr(X0,X1) ) )
& ( ( ? [X3] :
( cp(X3)
& rs(X0,X3) )
& ~ cp(X0)
& ! [X5,X4] :
( X4 = X5
| ~ rr(X0,X4)
| ~ rr(X0,X5) )
& ? [X1] :
( ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rr(X0,X1) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f199,plain,
! [X0] :
( cp(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ~ sP0(X0)
| cp(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f184,f94]) ).
fof(f94,plain,
! [X10,X0] :
( ~ rinvS(sK5(X0),X10)
| ~ sP0(X0)
| cp(X10) ),
inference(cnf_transformation,[],[f74]) ).
fof(f184,plain,
! [X6] :
( rinvS(sK5(X6),X6)
| ~ sP0(X6) ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f182,plain,
! [X6] :
( rinvS(sK5(X6),X6)
| ~ sP0(X6)
| ~ sP0(X6) ),
inference(resolution,[],[f153,f93]) ).
fof(f93,plain,
! [X0] :
( rr(X0,sK5(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f153,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rinvS(X1,X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ rr(X0,X1)
| ~ sP0(X0)
| rinvS(X1,X0) ),
inference(superposition,[],[f129,f135]) ).
fof(f135,plain,
! [X2,X3] :
( sK4(X2) = X3
| ~ sP0(X2)
| ~ rr(X2,X3) ),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f133,plain,
! [X2,X3] :
( ~ rr(X2,X3)
| sK4(X2) = X3
| ~ sP0(X2)
| ~ sP0(X2) ),
inference(resolution,[],[f95,f128]) ).
fof(f128,plain,
! [X0] :
( rr(X0,sK4(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f97,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rr(X1,X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ~ rs(X0,X1)
| rr(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( rs(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X6] :
( rs(X3,X6)
=> rr(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f97,plain,
! [X0] :
( rs(X0,sK4(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f95,plain,
! [X0,X8,X7] :
( ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ sP0(X0)
| X7 = X8 ),
inference(cnf_transformation,[],[f74]) ).
fof(f129,plain,
! [X0] :
( rinvS(sK4(X0),X0)
| ~ sP0(X0) ),
inference(resolution,[],[f107,f97]) ).
fof(f107,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( rs(X0,X1)
| ~ rinvS(X1,X0) )
& ( rinvS(X1,X0)
| ~ rs(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( rs(X0,X1)
<=> rinvS(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X6,X3] :
( rs(X6,X3)
<=> rinvS(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS077+1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:42:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % (26174)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)
% 0.21/0.56 % (26174)Refutation not found, incomplete strategy% (26174)------------------------------
% 0.21/0.56 % (26174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (26174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (26174)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (26174)Memory used [KB]: 5884
% 0.21/0.56 % (26174)Time elapsed: 0.004 s
% 0.21/0.56 % (26174)Instructions burned: 1 (million)
% 0.21/0.56 % (26174)------------------------------
% 0.21/0.56 % (26174)------------------------------
% 0.21/0.57 % (26167)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.57 % (26175)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.57 % (26175)Refutation not found, incomplete strategy% (26175)------------------------------
% 0.21/0.57 % (26175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (26175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (26175)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (26175)Memory used [KB]: 5884
% 0.21/0.57 % (26175)Time elapsed: 0.002 s
% 0.21/0.57 % (26175)Instructions burned: 2 (million)
% 0.21/0.57 % (26175)------------------------------
% 0.21/0.57 % (26175)------------------------------
% 0.21/0.57 % (26167)Refutation not found, incomplete strategy% (26167)------------------------------
% 0.21/0.57 % (26167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (26167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (26167)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (26167)Memory used [KB]: 5884
% 0.21/0.57 % (26167)Time elapsed: 0.004 s
% 0.21/0.57 % (26167)Instructions burned: 1 (million)
% 0.21/0.57 % (26167)------------------------------
% 0.21/0.57 % (26167)------------------------------
% 0.21/0.57 % (26166)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.58 % (26172)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)
% 0.21/0.58 % (26172)Refutation not found, incomplete strategy% (26172)------------------------------
% 0.21/0.58 % (26172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (26172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (26172)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.58
% 0.21/0.58 % (26172)Memory used [KB]: 5884
% 0.21/0.58 % (26172)Time elapsed: 0.002 s
% 0.21/0.58 % (26172)------------------------------
% 0.21/0.58 % (26172)------------------------------
% 0.21/0.58 % (26166)First to succeed.
% 0.21/0.58 % (26183)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58 % (26166)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (26166)------------------------------
% 0.21/0.58 % (26166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (26166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (26166)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (26166)Memory used [KB]: 6012
% 0.21/0.58 % (26166)Time elapsed: 0.143 s
% 0.21/0.58 % (26166)Instructions burned: 5 (million)
% 0.21/0.58 % (26166)------------------------------
% 0.21/0.58 % (26166)------------------------------
% 0.21/0.58 % (26165)Success in time 0.225 s
%------------------------------------------------------------------------------