TSTP Solution File: KRS076+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS076+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 : 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 : Sun May 5 07:19:27 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 16 unt; 0 def)
% Number of atoms : 211 ( 12 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 228 ( 77 ~; 66 |; 64 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 123 ( 97 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f244,plain,
$false,
inference(subsumption_resolution,[],[f242,f225]) ).
fof(f225,plain,
cp(sK2(i2003_11_14_17_19_06193)),
inference(superposition,[],[f170,f218]) ).
fof(f218,plain,
sK4(i2003_11_14_17_19_06193) = sK2(i2003_11_14_17_19_06193),
inference(unit_resulting_resolution,[],[f175,f196,f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4,X5] :
( ( rf(X3,X5)
& rf(X3,X4) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f196,plain,
rf(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f191,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X3,X4] :
( rs(X3,X4)
=> rf(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f191,plain,
rs(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f173,f184,f109]) ).
fof(f109,plain,
! [X3,X0] :
( ~ rinvF1(X0,X3)
| rs(X3,sK2(X3))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X2] :
( ~ cowlThing(X2)
| ~ rs(sK1(X0),X2) )
& rinvF1(X0,sK1(X0)) ) )
& ( ! [X3] :
( ( cowlThing(sK2(X3))
& rs(X3,sK2(X3)) )
| ~ rinvF1(X0,X3) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f91,f93,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X1,X2) )
& rinvF1(X0,X1) )
=> ( ! [X2] :
( ~ cowlThing(X2)
| ~ rs(sK1(X0),X2) )
& rinvF1(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X3] :
( ? [X4] :
( cowlThing(X4)
& rs(X3,X4) )
=> ( cowlThing(sK2(X3))
& rs(X3,sK2(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X1,X2) )
& rinvF1(X0,X1) ) )
& ( ! [X3] :
( ? [X4] :
( cowlThing(X4)
& rs(X3,X4) )
| ~ rinvF1(X0,X3) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1] :
( ( sP0(X1)
| ? [X2] :
( ! [X3] :
( ~ cowlThing(X3)
| ~ rs(X2,X3) )
& rinvF1(X1,X2) ) )
& ( ! [X2] :
( ? [X3] :
( cowlThing(X3)
& rs(X2,X3) )
| ~ rinvF1(X1,X2) )
| ~ sP0(X1) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X1] :
( sP0(X1)
<=> ! [X2] :
( ? [X3] :
( cowlThing(X3)
& rs(X2,X3) )
| ~ rinvF1(X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f184,plain,
rinvF1(sK3(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
inference(unit_resulting_resolution,[],[f177,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ rf1(X1,X0)
| rinvF1(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( rinvF1(X0,X1)
| ~ rf1(X1,X0) )
& ( rf1(X1,X0)
| ~ rinvF1(X0,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( rinvF1(X0,X1)
<=> rf1(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3,X4] :
( rinvF1(X3,X4)
<=> rf1(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f177,plain,
rf1(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f104,f115]) ).
fof(f115,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| cp(X1)
| ~ rf1(X0,X1) )
| ! [X2] :
( ~ cp(X2)
| ~ rf(X0,X2) ) )
& ( ( sP0(sK3(X0))
& ~ cp(sK3(X0))
& rf1(X0,sK3(X0))
& cp(sK4(X0))
& rf(X0,sK4(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f97,f99,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X3] :
( sP0(X3)
& ~ cp(X3)
& rf1(X0,X3) )
=> ( sP0(sK3(X0))
& ~ cp(sK3(X0))
& rf1(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ? [X4] :
( cp(X4)
& rf(X0,X4) )
=> ( cp(sK4(X0))
& rf(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| cp(X1)
| ~ rf1(X0,X1) )
| ! [X2] :
( ~ cp(X2)
| ~ rf(X0,X2) ) )
& ( ( ? [X3] :
( sP0(X3)
& ~ cp(X3)
& rf1(X0,X3) )
& ? [X4] :
( cp(X4)
& rf(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| cp(X1)
| ~ rf1(X0,X1) )
| ! [X4] :
( ~ cp(X4)
| ~ rf(X0,X4) ) )
& ( ( ? [X1] :
( sP0(X1)
& ~ cp(X1)
& rf1(X0,X1) )
& ? [X4] :
( cp(X4)
& rf(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ sP0(X1)
| cp(X1)
| ~ rf1(X0,X1) )
| ! [X4] :
( ~ cp(X4)
| ~ rf(X0,X4) ) )
& ( ( ? [X1] :
( sP0(X1)
& ~ cp(X1)
& rf1(X0,X1) )
& ? [X4] :
( cp(X4)
& rf(X0,X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( sP0(X1)
& ~ cp(X1)
& rf1(X0,X1) )
& ? [X4] :
( cp(X4)
& rf(X0,X4) ) ) ),
inference(definition_folding,[],[f42,f87]) ).
fof(f42,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ! [X2] :
( ? [X3] :
( cowlThing(X3)
& rs(X2,X3) )
| ~ rinvF1(X1,X2) )
& ~ cp(X1)
& rf1(X0,X1) )
& ? [X4] :
( cp(X4)
& rf(X0,X4) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ! [X2] :
( rinvF1(X1,X2)
=> ? [X3] :
( cowlThing(X3)
& rs(X2,X3) ) )
& ~ cp(X1)
& rf1(X0,X1) )
& ? [X4] :
( cp(X4)
& rf(X0,X4) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( ! [X5] :
( rinvF1(X4,X5)
=> ? [X6] :
( cowlThing(X6)
& rs(X5,X6) ) )
& ~ cp(X4)
& rf1(X3,X4) )
& ? [X4] :
( cp(X4)
& rf(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f104,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f173,plain,
sP0(sK3(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f104,f117]) ).
fof(f117,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(sK3(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f175,plain,
rf(i2003_11_14_17_19_06193,sK4(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f104,f113]) ).
fof(f113,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f170,plain,
cp(sK4(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f104,f114]) ).
fof(f114,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sK4(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f242,plain,
~ cp(sK2(i2003_11_14_17_19_06193)),
inference(superposition,[],[f172,f233]) ).
fof(f233,plain,
sK3(i2003_11_14_17_19_06193) = sK2(i2003_11_14_17_19_06193),
inference(unit_resulting_resolution,[],[f177,f195,f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| X1 = X2
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4,X5] :
( ( rf1(X3,X5)
& rf1(X3,X4) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f195,plain,
rf1(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f191,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X3,X4] :
( rs(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f172,plain,
~ cp(sK3(i2003_11_14_17_19_06193)),
inference(unit_resulting_resolution,[],[f104,f116]) ).
fof(f116,plain,
! [X0] :
( ~ cp(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:51:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (21694)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (21697)WARNING: value z3 for option sas not known
% 0.15/0.38 % (21698)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (21695)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (21697)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)
% 0.15/0.38 % (21699)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)
% 0.15/0.38 % (21700)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)
% 0.15/0.38 % (21696)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (21701)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (21701)First to succeed.
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 % (21701)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21694"
% 0.15/0.39 % (21697)Also succeeded, but the first one will report.
% 0.15/0.39 % (21699)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (21700)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 % (21701)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (21701)------------------------------
% 0.15/0.39 % (21701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (21701)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (21701)Memory used [KB]: 862
% 0.15/0.39 % (21701)Time elapsed: 0.006 s
% 0.15/0.39 % (21701)Instructions burned: 7 (million)
% 0.15/0.39 % (21694)Success in time 0.023 s
%------------------------------------------------------------------------------