TSTP Solution File: KRS083+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS083+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Sun May 5 07:19:29 EDT 2024
% Result : Unsatisfiable 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 68 ( 18 unt; 0 def)
% Number of atoms : 243 ( 7 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 271 ( 96 ~; 81 |; 71 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 121 ( 97 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(subsumption_resolution,[],[f305,f155]) ).
fof(f155,plain,
cc(sK4(i2003_11_14_17_19_32337)),
inference(unit_resulting_resolution,[],[f152,f99]) ).
fof(f99,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( cc(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ~ cc(sK1(X0))
& rf(X0,sK1(X0)) )
| ~ cd(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X2] :
( ~ cc(X2)
& rf(X0,X2) )
=> ( ~ cc(sK1(X0))
& rf(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( cc(X1)
| ~ rf(X0,X1) ) )
& ( ( cc(X0)
& ? [X2] :
( ~ cc(X2)
& rf(X0,X2) ) )
| ~ cd(X0) ) ),
inference(rectify,[],[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(flattening,[],[f74]) ).
fof(f74,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,[],[f29]) ).
fof(f29,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/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f152,plain,
cd(sK4(i2003_11_14_17_19_32337)),
inference(unit_resulting_resolution,[],[f91,f108]) ).
fof(f108,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK4(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| cc(X0)
| ~ sP0(X0) )
& ( ( cd(sK4(X0))
& rinvF(X0,sK4(X0))
& ~ cc(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f86,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
=> ( cd(sK4(X0))
& rinvF(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| cc(X0)
| ~ sP0(X0) )
& ( ( ? [X2] :
( cd(X2)
& rinvF(X0,X2) )
& ~ cc(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| cc(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ~ cc(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cd(X1)
| ~ rinvF(X0,X1) )
| cc(X0)
| ~ sP0(X0) )
& ( ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ~ cc(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ~ cc(X0)
& sP0(X0) ) ),
inference(definition_folding,[],[f37,f71]) ).
fof(f71,plain,
! [X0] :
( sP0(X0)
<=> ! [X2] :
( ? [X3] :
( cd(X3)
& rinvF(X2,X3) )
| ~ rinvR(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f37,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ~ cc(X0)
& ! [X2] :
( ? [X3] :
( cd(X3)
& rinvF(X2,X3) )
| ~ rinvR(X0,X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cd(X1)
& rinvF(X0,X1) )
& ~ cc(X0)
& ! [X2] :
( rinvR(X0,X2)
=> ? [X3] :
( cd(X3)
& rinvF(X2,X3) ) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( cd(X4)
& rinvF(X3,X4) )
& ~ cc(X3)
& ! [X4] :
( rinvR(X3,X4)
=> ? [X5] :
( cd(X5)
& rinvF(X4,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f91,plain,
cUnsatisfiable(i2003_11_14_17_19_32337),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_19_32337),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f305,plain,
~ cc(sK4(i2003_11_14_17_19_32337)),
inference(superposition,[],[f192,f284]) ).
fof(f284,plain,
sK4(i2003_11_14_17_19_32337) = sK1(sK3(sK4(i2003_11_14_17_19_32337))),
inference(unit_resulting_resolution,[],[f191,f222,f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) ),
inference(subsumption_resolution,[],[f94,f92]) ).
fof(f92,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f94,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X6,X7] :
( ( rf(X3,X7)
& rf(X3,X6) )
=> X6 = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f222,plain,
rf(sK3(sK4(i2003_11_14_17_19_32337)),sK4(i2003_11_14_17_19_32337)),
inference(unit_resulting_resolution,[],[f217,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f217,plain,
rinvF(sK4(i2003_11_14_17_19_32337),sK3(sK4(i2003_11_14_17_19_32337))),
inference(unit_resulting_resolution,[],[f148,f170,f101]) ).
fof(f101,plain,
! [X3,X0] :
( ~ rinvR(X0,X3)
| rinvF(X3,sK3(X3))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X2] :
( ~ cd(X2)
| ~ rinvF(sK2(X0),X2) )
& rinvR(X0,sK2(X0)) ) )
& ( ! [X3] :
( ( cd(sK3(X3))
& rinvF(X3,sK3(X3)) )
| ~ rinvR(X0,X3) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f80,f82,f81]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rinvF(X1,X2) )
& rinvR(X0,X1) )
=> ( ! [X2] :
( ~ cd(X2)
| ~ rinvF(sK2(X0),X2) )
& rinvR(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X3] :
( ? [X4] :
( cd(X4)
& rinvF(X3,X4) )
=> ( cd(sK3(X3))
& rinvF(X3,sK3(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ~ cd(X2)
| ~ rinvF(X1,X2) )
& rinvR(X0,X1) ) )
& ( ! [X3] :
( ? [X4] :
( cd(X4)
& rinvF(X3,X4) )
| ~ rinvR(X0,X3) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( sP0(X0)
| ? [X2] :
( ! [X3] :
( ~ cd(X3)
| ~ rinvF(X2,X3) )
& rinvR(X0,X2) ) )
& ( ! [X2] :
( ? [X3] :
( cd(X3)
& rinvF(X2,X3) )
| ~ rinvR(X0,X2) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f170,plain,
rinvR(i2003_11_14_17_19_32337,sK4(i2003_11_14_17_19_32337)),
inference(unit_resulting_resolution,[],[f168,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,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/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f168,plain,
rr(sK4(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),
inference(unit_resulting_resolution,[],[f166,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,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/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f166,plain,
rf(sK4(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),
inference(unit_resulting_resolution,[],[f163,f120]) ).
fof(f163,plain,
rinvF(i2003_11_14_17_19_32337,sK4(i2003_11_14_17_19_32337)),
inference(unit_resulting_resolution,[],[f91,f107]) ).
fof(f107,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rinvF(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f148,plain,
sP0(i2003_11_14_17_19_32337),
inference(unit_resulting_resolution,[],[f91,f105]) ).
fof(f105,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f191,plain,
rf(sK3(sK4(i2003_11_14_17_19_32337)),sK1(sK3(sK4(i2003_11_14_17_19_32337)))),
inference(unit_resulting_resolution,[],[f187,f97]) ).
fof(f97,plain,
! [X0] :
( ~ cd(X0)
| rf(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f187,plain,
cd(sK3(sK4(i2003_11_14_17_19_32337))),
inference(unit_resulting_resolution,[],[f148,f170,f102]) ).
fof(f102,plain,
! [X3,X0] :
( ~ rinvR(X0,X3)
| cd(sK3(X3))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f192,plain,
~ cc(sK1(sK3(sK4(i2003_11_14_17_19_32337)))),
inference(unit_resulting_resolution,[],[f187,f98]) ).
fof(f98,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(sK1(X0)) ),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS083+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 19:53:07 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (6232)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (6235)WARNING: value z3 for option sas not known
% 0.12/0.35 % (6237)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.35 % (6238)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)
% 0.12/0.35 % (6233)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (6235)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (6236)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (6234)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (6239)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 TRYING [4]
% 0.17/0.35 TRYING [4]
% 0.17/0.35 % (6239)First to succeed.
% 0.17/0.35 TRYING [5]
% 0.17/0.35 % (6235)Also succeeded, but the first one will report.
% 0.17/0.35 TRYING [5]
% 0.17/0.35 % (6239)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6232"
% 0.17/0.35 % (6239)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (6239)------------------------------
% 0.17/0.35 % (6239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.35 % (6239)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (6239)Memory used [KB]: 913
% 0.17/0.35 % (6239)Time elapsed: 0.006 s
% 0.17/0.35 % (6239)Instructions burned: 10 (million)
% 0.17/0.35 % (6232)Success in time 0.015 s
%------------------------------------------------------------------------------