TSTP Solution File: KRS087+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS087+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 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 182 ( 65 ~; 54 |; 51 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 84 ( 64 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(subsumption_resolution,[],[f158,f100]) ).
fof(f100,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_46763),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f158,plain,
~ cUnsatisfiable(i2003_11_14_17_19_46763),
inference(resolution,[],[f156,f119]) ).
fof(f119,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( ( rr(sK0(X0),sK1(X0))
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(sK1(X0),X3) )
& cp1(sK1(X0))
& rr(X0,sK0(X0))
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ! [X5] :
( ~ rr(X4,X5)
| ( cp1(sK2(X5))
& rinvR(X5,sK2(X5)) )
| ~ cp1(X5) )
| ~ rr(X0,X4) )
| ~ cp1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f89,f92,f91,f90]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) )
& rr(X0,X1) )
=> ( ? [X2] :
( rr(sK0(X0),X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) )
& rr(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ? [X2] :
( rr(sK0(X0),X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) )
=> ( rr(sK0(X0),sK1(X0))
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(sK1(X0),X3) )
& cp1(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X5] :
( ? [X6] :
( cp1(X6)
& rinvR(X5,X6) )
=> ( cp1(sK2(X5))
& rinvR(X5,sK2(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ( ( ? [X1] :
( ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) )
& rr(X0,X1) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ! [X5] :
( ~ rr(X4,X5)
| ? [X6] :
( cp1(X6)
& rinvR(X5,X6) )
| ~ cp1(X5) )
| ~ rr(X0,X4) )
| ~ cp1(X0) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ( ? [X1] :
( ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) )
& rr(X0,X1) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) )
| ~ rr(X0,X1) )
| ~ cp1(X0) ) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( ( ? [X1] :
( ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) )
& rr(X0,X1) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) )
| ~ rr(X0,X1) )
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( ? [X1] :
( ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) )
& rr(X0,X1) )
& cp1(X0) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( cp1(X0)
& ? [X1] :
( ? [X2] :
( cp1(X2)
& ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) )
& rr(X1,X2) )
& rr(X0,X1) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp1(X3)
& ? [X4] :
( rr(X3,X4)
& ? [X5] :
( cp1(X5)
& rr(X4,X5)
& ! [X6] :
( rinvR(X5,X6)
=> ~ cp1(X6) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f156,plain,
~ cp1(i2003_11_14_17_19_46763),
inference(resolution,[],[f155,f144]) ).
fof(f144,plain,
! [X0] :
( ~ rinvR(sK1(i2003_11_14_17_19_46763),X0)
| ~ cp1(X0) ),
inference(resolution,[],[f122,f100]) ).
fof(f122,plain,
! [X3,X0] :
( ~ cUnsatisfiable(X0)
| ~ cp1(X3)
| ~ rinvR(sK1(X0),X3) ),
inference(cnf_transformation,[],[f93]) ).
fof(f155,plain,
rinvR(sK1(i2003_11_14_17_19_46763),i2003_11_14_17_19_46763),
inference(resolution,[],[f153,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( rr(X0,X1)
| ~ rinvR(X1,X0) )
& ( rinvR(X1,X0)
| ~ rr(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( rr(X0,X1)
<=> rinvR(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X3] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f153,plain,
rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763)),
inference(subsumption_resolution,[],[f152,f100]) ).
fof(f152,plain,
( rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763))
| ~ cUnsatisfiable(i2003_11_14_17_19_46763) ),
inference(resolution,[],[f150,f120]) ).
fof(f120,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f150,plain,
! [X0] :
( ~ rr(X0,sK0(i2003_11_14_17_19_46763))
| rr(X0,sK1(i2003_11_14_17_19_46763)) ),
inference(resolution,[],[f146,f100]) ).
fof(f146,plain,
! [X2,X3] :
( ~ cUnsatisfiable(X3)
| ~ rr(X2,sK0(X3))
| rr(X2,sK1(X3)) ),
inference(resolution,[],[f103,f123]) ).
fof(f123,plain,
! [X0] :
( rr(sK0(X0),sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ rr(X2,X0)
| ~ rr(X1,X2)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ rr(X1,X2)
| ~ rr(X2,X0)
| rr(X1,X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X0] :
( ~ rr(X1,X0)
| ~ rr(X0,X2)
| rr(X1,X2) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X2,X1] :
( rr(X1,X2)
| ~ rr(X0,X2)
| ~ rr(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( rr(X0,X2)
& rr(X1,X0) )
=> rr(X1,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3,X5] :
( ( rr(X4,X5)
& rr(X3,X4) )
=> rr(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS087+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 :
% 0.20/0.49 % (26674)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)
% 0.20/0.50 % (26676)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)
% 0.20/0.50 % (26694)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (26678)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 % (26678)Refutation not found, incomplete strategy% (26678)------------------------------
% 0.20/0.51 % (26678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (26678)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (26678)Memory used [KB]: 6012
% 0.20/0.51 % (26678)Time elapsed: 0.004 s
% 0.20/0.51 % (26678)Instructions burned: 2 (million)
% 0.20/0.51 % (26678)------------------------------
% 0.20/0.51 % (26678)------------------------------
% 0.20/0.51 % (26686)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (26694)Refutation not found, incomplete strategy% (26694)------------------------------
% 0.20/0.51 % (26694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26686)Refutation not found, incomplete strategy% (26686)------------------------------
% 0.20/0.51 % (26686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (26686)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (26686)Memory used [KB]: 5884
% 0.20/0.51 % (26686)Time elapsed: 0.002 s
% 0.20/0.51 % (26686)Instructions burned: 1 (million)
% 0.20/0.51 % (26686)------------------------------
% 0.20/0.51 % (26686)------------------------------
% 0.20/0.51 % (26694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (26694)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (26694)Memory used [KB]: 6012
% 0.20/0.51 % (26694)Time elapsed: 0.004 s
% 0.20/0.51 % (26694)Instructions burned: 2 (million)
% 0.20/0.51 % (26694)------------------------------
% 0.20/0.51 % (26694)------------------------------
% 0.20/0.51 % (26695)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 % (26693)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (26674)Refutation not found, incomplete strategy% (26674)------------------------------
% 0.20/0.51 % (26674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (26674)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (26674)Memory used [KB]: 5884
% 0.20/0.51 % (26674)Time elapsed: 0.002 s
% 0.20/0.51 % (26674)Instructions burned: 1 (million)
% 0.20/0.51 % (26674)------------------------------
% 0.20/0.51 % (26674)------------------------------
% 0.20/0.52 % (26693)First to succeed.
% 0.20/0.52 % (26676)Refutation not found, incomplete strategy% (26676)------------------------------
% 0.20/0.52 % (26676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26676)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (26676)Memory used [KB]: 5884
% 0.20/0.52 % (26676)Time elapsed: 0.002 s
% 0.20/0.52 % (26676)Instructions burned: 1 (million)
% 0.20/0.52 % (26676)------------------------------
% 0.20/0.52 % (26676)------------------------------
% 0.20/0.52 % (26690)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)
% 0.20/0.53 % (26693)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (26693)------------------------------
% 0.20/0.53 % (26693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26693)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (26693)Memory used [KB]: 6012
% 0.20/0.53 % (26693)Time elapsed: 0.093 s
% 0.20/0.53 % (26693)Instructions burned: 3 (million)
% 0.20/0.53 % (26693)------------------------------
% 0.20/0.53 % (26693)------------------------------
% 0.20/0.53 % (26667)Success in time 0.175 s
%------------------------------------------------------------------------------