TSTP Solution File: KRS106+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS106+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 : n014.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 07:19:32 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 7 unt; 0 def)
% Number of atoms : 217 ( 21 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 241 ( 90 ~; 81 |; 50 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 138 ( 110 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,plain,
$false,
inference(resolution,[],[f203,f95]) ).
fof(f95,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
cUnsatisfiable(i2003_11_14_17_20_57644),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f203,plain,
~ cUnsatisfiable(i2003_11_14_17_20_57644),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_57644)
| ~ cUnsatisfiable(i2003_11_14_17_20_57644) ),
inference(resolution,[],[f197,f109]) ).
fof(f109,plain,
! [X0] :
( cp1xcomp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp1xcomp(X1)
| ~ rf2(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf3(X0,X3) ) )
& ( ( cp1xcomp(sK2(X0))
& rf2(X0,sK2(X0))
& cp1(sK3(X0))
& rf1(X0,sK3(X0))
& cp2(sK4(X0))
& rf3(X0,sK4(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f90,f93,f92,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X4] :
( cp1xcomp(X4)
& rf2(X0,X4) )
=> ( cp1xcomp(sK2(X0))
& rf2(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ? [X5] :
( cp1(X5)
& rf1(X0,X5) )
=> ( cp1(sK3(X0))
& rf1(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ? [X6] :
( cp2(X6)
& rf3(X0,X6) )
=> ( cp2(sK4(X0))
& rf3(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp1xcomp(X1)
| ~ rf2(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf3(X0,X3) ) )
& ( ( ? [X4] :
( cp1xcomp(X4)
& rf2(X0,X4) )
& ? [X5] :
( cp1(X5)
& rf1(X0,X5) )
& ? [X6] :
( cp2(X6)
& rf3(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp1xcomp(X1)
| ~ rf2(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf3(X0,X3) ) )
& ( ( ? [X1] :
( cp1xcomp(X1)
& rf2(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf3(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp1xcomp(X1)
| ~ rf2(X0,X1) )
| ! [X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf3(X0,X3) ) )
& ( ( ? [X1] :
( cp1xcomp(X1)
& rf2(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf3(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp1xcomp(X1)
& rf2(X0,X1) )
& ? [X2] :
( cp1(X2)
& rf1(X0,X2) )
& ? [X3] :
( cp2(X3)
& rf3(X0,X3) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( cp1xcomp(X4)
& rf2(X3,X4) )
& ? [X4] :
( cp1(X4)
& rf1(X3,X4) )
& ? [X4] :
( cp2(X4)
& rf3(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f197,plain,
( ~ cp1xcomp(sK2(i2003_11_14_17_20_57644))
| ~ cUnsatisfiable(i2003_11_14_17_20_57644) ),
inference(superposition,[],[f151,f196]) ).
fof(f196,plain,
sK2(i2003_11_14_17_20_57644) = sK3(i2003_11_14_17_20_57644),
inference(forward_demodulation,[],[f194,f180]) ).
fof(f180,plain,
sK2(i2003_11_14_17_20_57644) = sK4(i2003_11_14_17_20_57644),
inference(resolution,[],[f179,f95]) ).
fof(f179,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK2(X0) = sK4(X0) ),
inference(duplicate_literal_removal,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK2(X0) = sK4(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f169,f104]) ).
fof(f104,plain,
! [X0] :
( rf3(X0,sK4(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f169,plain,
! [X0,X1] :
( ~ rf3(X0,X1)
| ~ cUnsatisfiable(X0)
| sK2(X0) = X1 ),
inference(resolution,[],[f156,f111]) ).
fof(f111,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rf3(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rf3(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( rf3(X0,X1)
=> rf2(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3,X4] :
( rf3(X3,X4)
=> rf2(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f156,plain,
! [X0,X1] :
( ~ rf2(X0,X1)
| sK2(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f130,f108]) ).
fof(f108,plain,
! [X0] :
( rf2(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( rf2(X0,X2)
& rf2(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4,X6] :
( ( rf2(X3,X6)
& rf2(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f194,plain,
sK4(i2003_11_14_17_20_57644) = sK3(i2003_11_14_17_20_57644),
inference(resolution,[],[f193,f95]) ).
fof(f193,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(X0) = sK4(X0) ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(X0) = sK4(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f174,f104]) ).
fof(f174,plain,
! [X0,X1] :
( ~ rf3(X0,X1)
| ~ cUnsatisfiable(X0)
| sK3(X0) = X1 ),
inference(resolution,[],[f161,f112]) ).
fof(f112,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rf3(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rf3(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( rf3(X0,X1)
=> rf1(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3,X4] :
( rf3(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f161,plain,
! [X0,X1] :
( ~ rf1(X0,X1)
| sK3(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f131,f106]) ).
fof(f106,plain,
! [X0] :
( rf1(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4,X6] :
( ( rf1(X3,X6)
& rf1(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f151,plain,
! [X0] :
( ~ cp1xcomp(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f149,f102]) ).
fof(f102,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cp1xcomp(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK1(X0))
| ~ cp1xcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f85,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cp1xcomp(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cp1xcomp(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cp1xcomp(X3)
<=> ? [X5] : ra_Px1(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f149,plain,
! [X0,X1] :
( ~ ra_Px1(sK3(X0),X1)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f107,f100]) ).
fof(f100,plain,
! [X2,X0] :
( ~ cp1(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( cp1(X0)
| ra_Px1(X0,sK0(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f81,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] :
( cp1(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f107,plain,
! [X0] :
( cp1(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.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 19:52:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (8866)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8869)WARNING: value z3 for option sas not known
% 0.15/0.38 % (8868)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 % (8870)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (8871)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 % (8872)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 % (8867)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (8869)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 % (8873)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (8872)First to succeed.
% 0.15/0.39 % (8873)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (8871)Also succeeded, but the first one will report.
% 0.15/0.39 % (8869)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (8872)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8866"
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (8872)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 % (8872)------------------------------
% 0.15/0.39 % (8872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (8872)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (8872)Memory used [KB]: 853
% 0.15/0.39 % (8872)Time elapsed: 0.007 s
% 0.15/0.39 % (8872)Instructions burned: 7 (million)
% 0.15/0.39 % (8866)Success in time 0.012 s
%------------------------------------------------------------------------------