TSTP Solution File: KRS087+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n010.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 17:30:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% Number of atoms : 157 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 189 ( 68 ~; 57 |; 52 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 88 ( 68 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(subsumption_resolution,[],[f178,f99]) ).
fof(f99,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/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f178,plain,
~ cUnsatisfiable(i2003_11_14_17_19_46763),
inference(resolution,[],[f175,f159]) ).
fof(f159,plain,
! [X0] :
( ~ rinvR(sK1(X0),i2003_11_14_17_19_46763)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f148,f99]) ).
fof(f148,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X0)
| ~ rinvR(sK1(X0),X1) ),
inference(resolution,[],[f119,f116]) ).
fof(f116,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( ( rr(X0,sK0(X0))
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(sK1(X0),X3) )
& cp1(sK1(X0))
& rr(sK0(X0),sK1(X0))
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ~ rr(X0,X4)
| ! [X5] :
( ( cp1(sK2(X5))
& rinvR(X5,sK2(X5)) )
| ~ cp1(X5)
| ~ rr(X4,X5) ) )
| ~ cp1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f86,f89,f88,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) ) )
=> ( rr(X0,sK0(X0))
& ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(sK0(X0),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(sK0(X0),X2) )
=> ( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(sK1(X0),X3) )
& cp1(sK1(X0))
& rr(sK0(X0),sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X5] :
( ? [X6] :
( cp1(X6)
& rinvR(X5,X6) )
=> ( cp1(sK2(X5))
& rinvR(X5,sK2(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ( ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) ) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ~ rr(X0,X4)
| ! [X5] :
( ? [X6] :
( cp1(X6)
& rinvR(X5,X6) )
| ~ cp1(X5)
| ~ rr(X4,X5) ) )
| ~ cp1(X0) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) ) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2)
| ~ rr(X1,X2) ) )
| ~ cp1(X0) ) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) ) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2)
| ~ rr(X1,X2) ) )
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) ) )
& cp1(X0) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& cp1(X2)
& ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) ) ) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( ( ? [X4] :
( rr(X3,X4)
& ? [X5] :
( rr(X4,X5)
& cp1(X5)
& ! [X6] :
( rinvR(X5,X6)
=> ~ cp1(X6) ) ) )
& cp1(X3) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f119,plain,
! [X3,X0] :
( ~ cp1(X3)
| ~ rinvR(sK1(X0),X3)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f175,plain,
rinvR(sK1(i2003_11_14_17_19_46763),i2003_11_14_17_19_46763),
inference(resolution,[],[f172,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( rr(X0,X1)
| ~ rinvR(X1,X0) )
& ( rinvR(X1,X0)
| ~ rr(X0,X1) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ( rr(X1,X0)
| ~ rinvR(X0,X1) )
& ( rinvR(X0,X1)
| ~ rr(X1,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( rr(X1,X0)
<=> rinvR(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X4] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f172,plain,
rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763)),
inference(resolution,[],[f160,f146]) ).
fof(f146,plain,
rr(i2003_11_14_17_19_46763,sK0(i2003_11_14_17_19_46763)),
inference(resolution,[],[f120,f99]) ).
fof(f120,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f160,plain,
! [X0] :
( ~ rr(X0,sK0(i2003_11_14_17_19_46763))
| rr(X0,sK1(i2003_11_14_17_19_46763)) ),
inference(resolution,[],[f150,f99]) ).
fof(f150,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ rr(X0,sK0(X1))
| rr(X0,sK1(X1)) ),
inference(resolution,[],[f100,f117]) ).
fof(f117,plain,
! [X0] :
( rr(sK0(X0),sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ rr(X2,X1)
| ~ rr(X0,X2)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ rr(X2,X1)
| ~ rr(X0,X2)
| rr(X0,X1) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X2,X1] :
( ~ rr(X1,X2)
| ~ rr(X0,X1)
| rr(X0,X2) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( rr(X1,X2)
& rr(X0,X1) )
=> rr(X0,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4,X5] :
( ( rr(X3,X4)
& rr(X4,X5) )
=> rr(X3,X5) ),
file('/export/starexec/sandbox/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_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:25:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 % (21523)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (21524)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.55 % (21546)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (21549)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55 % (21523)Refutation not found, incomplete strategy% (21523)------------------------------
% 0.19/0.55 % (21523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (21523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (21523)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (21523)Memory used [KB]: 5500
% 0.19/0.55 % (21523)Time elapsed: 0.134 s
% 0.19/0.55 % (21523)Instructions burned: 3 (million)
% 0.19/0.55 % (21523)------------------------------
% 0.19/0.55 % (21523)------------------------------
% 0.19/0.55 % (21524)First to succeed.
% 0.19/0.56 % (21530)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (21530)Instruction limit reached!
% 0.19/0.56 % (21530)------------------------------
% 0.19/0.56 % (21530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (21530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (21530)Termination reason: Unknown
% 0.19/0.56 % (21530)Termination phase: shuffling
% 0.19/0.56
% 0.19/0.56 % (21530)Memory used [KB]: 895
% 0.19/0.56 % (21530)Time elapsed: 0.003 s
% 0.19/0.56 % (21530)Instructions burned: 2 (million)
% 0.19/0.56 % (21530)------------------------------
% 0.19/0.56 % (21530)------------------------------
% 0.19/0.57 % (21546)Also succeeded, but the first one will report.
% 0.19/0.57 % (21524)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (21524)------------------------------
% 0.19/0.57 % (21524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (21524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (21524)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (21524)Memory used [KB]: 1023
% 0.19/0.57 % (21524)Time elapsed: 0.140 s
% 0.19/0.57 % (21524)Instructions burned: 3 (million)
% 0.19/0.57 % (21524)------------------------------
% 0.19/0.57 % (21524)------------------------------
% 0.19/0.57 % (21521)Success in time 0.215 s
%------------------------------------------------------------------------------