TSTP Solution File: KRS084+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS084+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Mon May 20 23:21:54 EDT 2024
% Result : Unsatisfiable 0.08s 0.31s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 68 ( 18 unt; 0 def)
% Number of atoms : 229 ( 6 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 248 ( 87 ~; 74 |; 65 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 116 ( 93 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f373,plain,
$false,
inference(subsumption_resolution,[],[f362,f160]) ).
fof(f160,plain,
cc(sK5(i2003_11_14_17_19_35232)),
inference(unit_resulting_resolution,[],[f157,f100]) ).
fof(f100,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( cc(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ~ cc(sK2(X0))
& rf(X0,sK2(X0)) )
| ~ cd(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f77,f78]) ).
fof(f78,plain,
! [X0] :
( ? [X2] :
( ~ cc(X2)
& rf(X0,X2) )
=> ( ~ cc(sK2(X0))
& rf(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( cc(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X2] :
( ~ cc(X2)
& rf(X0,X2) ) )
| ~ cd(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( cc(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X1] :
( ~ cc(X1)
& rf(X0,X1) ) )
| ~ cd(X0) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( cc(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X1] :
( ~ cc(X1)
& rf(X0,X1) ) )
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( cd(X0)
<=> ( cc(X0)
& ? [X1] :
( ~ cc(X1)
& rf(X0,X1) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( cd(X3)
<=> ( cc(X3)
& ? [X4] :
( ~ cc(X4)
& rf(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f157,plain,
cd(sK5(i2003_11_14_17_19_35232)),
inference(unit_resulting_resolution,[],[f151,f107]) ).
fof(f107,plain,
! [X0] :
( ~ sP0(X0)
| cd(sK5(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ( cd(sK5(X0))
& rinvF(X0,sK5(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f86,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
=> ( cd(sK5(X0))
& rinvF(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) ) )
& ( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( sP0(X0)
| ! [X3] :
( ~ cd(X3)
| ~ rinvF(X0,X3) ) )
& ( ? [X3] :
( cd(X3)
& rinvF(X0,X3) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( sP0(X0)
<=> ? [X3] :
( cd(X3)
& rinvF(X0,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f151,plain,
sP0(i2003_11_14_17_19_35232),
inference(unit_resulting_resolution,[],[f93,f109]) ).
fof(f109,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| cc(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ~ cc(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| cc(X0)
| ~ sP1(X0)
| ~ sP0(X0) )
& ( ( ~ cc(X0)
& sP1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ~ cc(X0)
& sP1(X0)
& sP0(X0) ) ),
inference(definition_folding,[],[f35,f72,f71]) ).
fof(f72,plain,
! [X0] :
( sP1(X0)
<=> ! [X1] :
( ? [X2] :
( cd(X2)
& rinvF(X1,X2) )
| ~ rinvR(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f35,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ~ cc(X0)
& ! [X1] :
( ? [X2] :
( cd(X2)
& rinvF(X1,X2) )
| ~ rinvR(X0,X1) )
& ? [X3] :
( cd(X3)
& rinvF(X0,X3) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ~ cc(X0)
& ! [X1] :
( rinvR(X0,X1)
=> ? [X2] :
( cd(X2)
& rinvF(X1,X2) ) )
& ? [X3] :
( cd(X3)
& rinvF(X0,X3) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ~ cc(X3)
& ! [X4] :
( rinvR(X3,X4)
=> ? [X5] :
( cd(X5)
& rinvF(X4,X5) ) )
& ? [X4] :
( cd(X4)
& rinvF(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f93,plain,
cUnsatisfiable(i2003_11_14_17_19_35232),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_19_35232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f362,plain,
~ cc(sK5(i2003_11_14_17_19_35232)),
inference(superposition,[],[f214,f325]) ).
fof(f325,plain,
sK5(i2003_11_14_17_19_35232) = sK2(sK4(sK5(i2003_11_14_17_19_35232))),
inference(unit_resulting_resolution,[],[f213,f307,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X4,X5] :
( ( rf(X3,X5)
& rf(X3,X4) )
=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f307,plain,
rf(sK4(sK5(i2003_11_14_17_19_35232)),sK5(i2003_11_14_17_19_35232)),
inference(unit_resulting_resolution,[],[f271,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f271,plain,
rinvF(sK5(i2003_11_14_17_19_35232),sK4(sK5(i2003_11_14_17_19_35232))),
inference(unit_resulting_resolution,[],[f153,f175,f102]) ).
fof(f102,plain,
! [X3,X0] :
( ~ rinvR(X0,X3)
| rinvF(X3,sK4(X3))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( sP1(X0)
| ( ! [X2] :
( ~ cd(X2)
| ~ rinvF(sK3(X0),X2) )
& rinvR(X0,sK3(X0)) ) )
& ( ! [X3] :
( ( cd(sK4(X3))
& rinvF(X3,sK4(X3)) )
| ~ rinvR(X0,X3) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f81,f83,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rinvF(X1,X2) )
& rinvR(X0,X1) )
=> ( ! [X2] :
( ~ cd(X2)
| ~ rinvF(sK3(X0),X2) )
& rinvR(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X3] :
( ? [X4] :
( cd(X4)
& rinvF(X3,X4) )
=> ( cd(sK4(X3))
& rinvF(X3,sK4(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ( sP1(X0)
| ? [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rinvF(X1,X2) )
& rinvR(X0,X1) ) )
& ( ! [X3] :
( ? [X4] :
( cd(X4)
& rinvF(X3,X4) )
| ~ rinvR(X0,X3) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( sP1(X0)
| ? [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rinvF(X1,X2) )
& rinvR(X0,X1) ) )
& ( ! [X1] :
( ? [X2] :
( cd(X2)
& rinvF(X1,X2) )
| ~ rinvR(X0,X1) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f175,plain,
rinvR(i2003_11_14_17_19_35232,sK5(i2003_11_14_17_19_35232)),
inference(unit_resulting_resolution,[],[f173,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f173,plain,
rr(sK5(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(unit_resulting_resolution,[],[f171,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3,X4] :
( rf(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f171,plain,
rf(sK5(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(unit_resulting_resolution,[],[f168,f123]) ).
fof(f168,plain,
rinvF(i2003_11_14_17_19_35232,sK5(i2003_11_14_17_19_35232)),
inference(unit_resulting_resolution,[],[f151,f106]) ).
fof(f106,plain,
! [X0] :
( ~ sP0(X0)
| rinvF(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f153,plain,
sP1(i2003_11_14_17_19_35232),
inference(unit_resulting_resolution,[],[f93,f110]) ).
fof(f110,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f213,plain,
rf(sK4(sK5(i2003_11_14_17_19_35232)),sK2(sK4(sK5(i2003_11_14_17_19_35232)))),
inference(unit_resulting_resolution,[],[f209,f98]) ).
fof(f98,plain,
! [X0] :
( ~ cd(X0)
| rf(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f209,plain,
cd(sK4(sK5(i2003_11_14_17_19_35232))),
inference(unit_resulting_resolution,[],[f153,f175,f103]) ).
fof(f103,plain,
! [X3,X0] :
( ~ rinvR(X0,X3)
| cd(sK4(X3))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f214,plain,
~ cc(sK2(sK4(sK5(i2003_11_14_17_19_35232)))),
inference(unit_resulting_resolution,[],[f209,f99]) ).
fof(f99,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(sK2(X0)) ),
inference(cnf_transformation,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : KRS084+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sat May 18 22:02:22 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % (29524)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.30 % (29528)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.30 % (29531)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.08/0.30 TRYING [1]
% 0.08/0.30 TRYING [2]
% 0.08/0.30 % (29530)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.08/0.30 % (29525)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.30 TRYING [3]
% 0.08/0.30 TRYING [4]
% 0.08/0.30 TRYING [1]
% 0.08/0.31 TRYING [2]
% 0.08/0.31 TRYING [5]
% 0.08/0.31 TRYING [3]
% 0.08/0.31 % (29531)First to succeed.
% 0.08/0.31 TRYING [4]
% 0.08/0.31 % (29531)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29524"
% 0.08/0.31 TRYING [5]
% 0.08/0.31 % (29531)Refutation found. Thanks to Tanya!
% 0.08/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.31 % (29531)------------------------------
% 0.13/0.31 % (29531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.31 % (29531)Termination reason: Refutation
% 0.13/0.31
% 0.13/0.31 % (29531)Memory used [KB]: 915
% 0.13/0.31 % (29531)Time elapsed: 0.004 s
% 0.13/0.31 % (29531)Instructions burned: 11 (million)
% 0.13/0.31 % (29524)Success in time 0.014 s
%------------------------------------------------------------------------------