TSTP Solution File: KRS115+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS115+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 : n027.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 23:22:01 EDT 2024
% Result : Unsatisfiable 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 73 ( 18 unt; 0 def)
% Number of atoms : 226 ( 14 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 238 ( 85 ~; 75 |; 52 &)
% ( 7 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 137 ( 109 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f249,plain,
$false,
inference(subsumption_resolution,[],[f244,f211]) ).
fof(f211,plain,
cp1(sK1(i2003_11_14_17_21_30578)),
inference(superposition,[],[f157,f206]) ).
fof(f206,plain,
sK1(i2003_11_14_17_21_30578) = sK2(i2003_11_14_17_21_30578),
inference(unit_resulting_resolution,[],[f167,f179,f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| X1 = X2
| ~ rf1(X0,X1) ),
inference(subsumption_resolution,[],[f98,f95]) ).
fof(f95,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f98,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X5,X6] :
( ( rf1(X3,X6)
& rf1(X3,X5) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f179,plain,
rf1(i2003_11_14_17_21_30578,sK1(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f169,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( rr(X0,X1)
=> rf1(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3,X4] :
( rr(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f169,plain,
rr(i2003_11_14_17_21_30578,sK1(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f94,f108]) ).
fof(f108,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( cowlThing(sK1(X0))
& rr(X0,sK1(X0))
& cp1(sK2(X0))
& rf1(X0,sK2(X0))
& cp2(sK3(X0))
& rf2(X0,sK3(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f85,f88,f87,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X4] :
( cowlThing(X4)
& rr(X0,X4) )
=> ( cowlThing(sK1(X0))
& rr(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ? [X5] :
( cp1(X5)
& rf1(X0,X5) )
=> ( cp1(sK2(X0))
& rf1(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ? [X6] :
( cp2(X6)
& rf2(X0,X6) )
=> ( cp2(sK3(X0))
& rf2(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( ? [X4] :
( cowlThing(X4)
& rr(X0,X4) )
& ? [X5] :
( cp1(X5)
& rf1(X0,X5) )
& ? [X6] :
( cp2(X6)
& rf2(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) ) )
& ( ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( cowlThing(X4)
& rr(X3,X4) )
& ? [X4] :
( cp1(X4)
& rf1(X3,X4) )
& ? [X4] :
( cp2(X4)
& rf2(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f94,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
cUnsatisfiable(i2003_11_14_17_21_30578),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f167,plain,
rf1(i2003_11_14_17_21_30578,sK2(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f94,f106]) ).
fof(f106,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f157,plain,
cp1(sK2(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f94,f107]) ).
fof(f107,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK2(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f244,plain,
~ cp1(sK1(i2003_11_14_17_21_30578)),
inference(superposition,[],[f177,f239]) ).
fof(f239,plain,
sK1(i2003_11_14_17_21_30578) = sK3(i2003_11_14_17_21_30578),
inference(unit_resulting_resolution,[],[f165,f181,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ rf2(X0,X2)
| X1 = X2
| ~ rf2(X0,X1) ),
inference(subsumption_resolution,[],[f99,f95]) ).
fof(f99,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf2(X0,X2)
& rf2(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X5,X6] :
( ( rf2(X3,X6)
& rf2(X3,X5) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f181,plain,
rf2(i2003_11_14_17_21_30578,sK1(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f169,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( rr(X0,X1)
=> rf2(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3,X4] :
( rr(X3,X4)
=> rf2(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f165,plain,
rf2(i2003_11_14_17_21_30578,sK3(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f94,f104]) ).
fof(f104,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf2(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f177,plain,
~ cp1(sK3(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f172,f97]) ).
fof(f97,plain,
! [X0] :
( ~ cp1(X0)
| cp2xcomp(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( cp2xcomp(X0)
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( cp1(X0)
=> cp2xcomp(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] :
( cp1(X3)
=> cp2xcomp(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f172,plain,
~ cp2xcomp(sK3(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f156,f111]) ).
fof(f111,plain,
! [X0] :
( ~ cp2xcomp(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( cp2xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK4(X0))
| ~ cp2xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f91,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ( cp2xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cp2xcomp(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( cp2xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cp2xcomp(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( cp2xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( cp2xcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f156,plain,
! [X0] : ~ ra_Px1(sK3(i2003_11_14_17_21_30578),X0),
inference(unit_resulting_resolution,[],[f154,f102]) ).
fof(f102,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( cp2(X0)
| ra_Px1(X0,sK0(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f80,f81]) ).
fof(f81,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ( cp2(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp2(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( cp2(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp2(X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( cp2(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( cp2(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cp2(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f154,plain,
cp2(sK3(i2003_11_14_17_21_30578)),
inference(unit_resulting_resolution,[],[f94,f105]) ).
fof(f105,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(sK3(X0)) ),
inference(cnf_transformation,[],[f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS115+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.37 % Computer : n027.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat May 18 22:30:08 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.38 % (27610)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (27613)WARNING: value z3 for option sas not known
% 0.22/0.40 % (27612)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 % (27616)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)
% 0.22/0.40 % (27611)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40 % (27615)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)
% 0.22/0.40 % (27617)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)
% 0.22/0.40 % (27614)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 % (27613)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)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 % (27617)First to succeed.
% 0.22/0.40 % (27616)Also succeeded, but the first one will report.
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 % (27613)Also succeeded, but the first one will report.
% 0.22/0.40 % (27615)Also succeeded, but the first one will report.
% 0.22/0.40 TRYING [1]
% 0.22/0.40 % (27617)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27610"
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [5]
% 0.22/0.40 TRYING [5]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 % (27617)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (27617)------------------------------
% 0.22/0.40 % (27617)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (27617)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (27617)Memory used [KB]: 845
% 0.22/0.40 % (27617)Time elapsed: 0.006 s
% 0.22/0.40 % (27617)Instructions burned: 7 (million)
% 0.22/0.40 % (27610)Success in time 0.023 s
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