TSTP Solution File: KRS079+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.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 : Wed Aug 31 17:30:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 8 unt; 0 def)
% Number of atoms : 211 ( 22 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 243 ( 94 ~; 84 |; 46 &)
% ( 2 <=>; 17 =>; 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 : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 121 ( 103 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(subsumption_resolution,[],[f170,f96]) ).
fof(f96,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
cUnsatisfiable(i2003_11_14_17_19_17492),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f170,plain,
~ cUnsatisfiable(i2003_11_14_17_19_17492),
inference(subsumption_resolution,[],[f169,f151]) ).
fof(f151,plain,
~ cp1(sK0(i2003_11_14_17_19_17492)),
inference(subsumption_resolution,[],[f149,f96]) ).
fof(f149,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
| ~ cp1(sK0(i2003_11_14_17_19_17492)) ),
inference(superposition,[],[f138,f147]) ).
fof(f147,plain,
sK1(i2003_11_14_17_19_17492) = sK0(i2003_11_14_17_19_17492),
inference(resolution,[],[f145,f96]) ).
fof(f145,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| sK1(X1) = sK0(X1) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| sK1(X1) = sK0(X1)
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f141,f140]) ).
fof(f140,plain,
! [X1] :
( rf2(X1,sK0(X1))
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f108,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rf2(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( rf2(X1,X0)
| ~ rr(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( rr(X1,X0)
=> rf2(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X3] :
( rr(X3,X4)
=> rf2(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f108,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cowlThing(X1) )
| ! [X2] :
( ~ cp2(X2)
| ~ rf2(X0,X2) )
| ! [X3] :
( ~ cp1(X3)
| ~ rf1(X0,X3) ) )
& ( ( rr(X0,sK0(X0))
& cowlThing(sK0(X0))
& cp2(sK1(X0))
& rf2(X0,sK1(X0))
& cp1(sK2(X0))
& rf1(X0,sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f79,f82,f81,f80]) ).
fof(f80,plain,
! [X0] :
( ? [X4] :
( rr(X0,X4)
& cowlThing(X4) )
=> ( rr(X0,sK0(X0))
& cowlThing(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ? [X5] :
( cp2(X5)
& rf2(X0,X5) )
=> ( cp2(sK1(X0))
& rf2(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ? [X6] :
( cp1(X6)
& rf1(X0,X6) )
=> ( cp1(sK2(X0))
& rf1(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cowlThing(X1) )
| ! [X2] :
( ~ cp2(X2)
| ~ rf2(X0,X2) )
| ! [X3] :
( ~ cp1(X3)
| ~ rf1(X0,X3) ) )
& ( ( ? [X4] :
( rr(X0,X4)
& cowlThing(X4) )
& ? [X5] :
( cp2(X5)
& rf2(X0,X5) )
& ? [X6] :
( cp1(X6)
& rf1(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X2] :
( ~ rr(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) )
| ! [X1] :
( ~ cp1(X1)
| ~ rf1(X0,X1) ) )
& ( ( ? [X2] :
( rr(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) )
& ? [X1] :
( cp1(X1)
& rf1(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X2] :
( ~ rr(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ cp2(X3)
| ~ rf2(X0,X3) )
| ! [X1] :
( ~ cp1(X1)
| ~ rf1(X0,X1) ) )
& ( ( ? [X2] :
( rr(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) )
& ? [X1] :
( cp1(X1)
& rf1(X0,X1) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X2] :
( rr(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( cp2(X3)
& rf2(X0,X3) )
& ? [X1] :
( cp1(X1)
& rf1(X0,X1) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( rf1(X3,X4)
& cp1(X4) )
& ? [X4] :
( cowlThing(X4)
& rr(X3,X4) )
& ? [X4] :
( rf2(X3,X4)
& cp2(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f141,plain,
! [X0,X1] :
( ~ rf2(X0,X1)
| sK1(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f135,f105]) ).
fof(f105,plain,
! [X0] :
( rf2(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| X1 = X2 ),
inference(subsumption_resolution,[],[f120,f115]) ).
fof(f115,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1,X2] :
( ~ rf2(X0,X2)
| X1 = X2
| ~ rf2(X0,X1) )
| ~ cowlThing(X0) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X2,X1] :
( ~ rf2(X0,X1)
| X1 = X2
| ~ rf2(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf2(X0,X1)
| ~ rf2(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf2(X0,X1)
& rf2(X0,X2) )
=> X1 = X2 ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X5,X6] :
( ( rf2(X3,X6)
& rf2(X3,X5) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f138,plain,
! [X0] :
( ~ cp1(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f106,f112]) ).
fof(f112,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cp1(X0)
=> ~ cp2(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cp1(X3)
=> ~ cp2(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f106,plain,
! [X0] :
( cp2(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f169,plain,
( cp1(sK0(i2003_11_14_17_19_17492))
| ~ cUnsatisfiable(i2003_11_14_17_19_17492) ),
inference(superposition,[],[f104,f167]) ).
fof(f167,plain,
sK2(i2003_11_14_17_19_17492) = sK0(i2003_11_14_17_19_17492),
inference(resolution,[],[f165,f96]) ).
fof(f165,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| sK2(X1) = sK0(X1) ),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f163,plain,
! [X1] :
( sK2(X1) = sK0(X1)
| ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f160,f139]) ).
fof(f139,plain,
! [X0] :
( rf1(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f108,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( rf1(X1,X0)
| ~ rr(X1,X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( rr(X1,X0)
=> rf1(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3] :
( rr(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f160,plain,
! [X0,X1] :
( ~ rf1(X0,X1)
| ~ cUnsatisfiable(X0)
| sK2(X0) = X1 ),
inference(subsumption_resolution,[],[f158,f115]) ).
fof(f158,plain,
! [X0,X1] :
( sK2(X0) = X1
| ~ rf1(X0,X1)
| ~ cUnsatisfiable(X0)
| ~ cowlThing(X0) ),
inference(resolution,[],[f121,f103]) ).
fof(f103,plain,
! [X0] :
( rf1(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| ~ cowlThing(X0)
| X1 = X2
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1,X2] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 )
| ~ cowlThing(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X2,X1] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 )
| ~ cowlThing(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X6,X5] :
( ( rf1(X3,X6)
& rf1(X3,X5) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f104,plain,
! [X0] :
( cp1(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:29:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (14065)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (14074)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (14083)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51 % (14067)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (14064)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (14067)First to succeed.
% 0.20/0.52 % (14067)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (14067)------------------------------
% 0.20/0.52 % (14067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14067)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (14067)Memory used [KB]: 5500
% 0.20/0.52 % (14067)Time elapsed: 0.114 s
% 0.20/0.52 % (14067)Instructions burned: 2 (million)
% 0.20/0.52 % (14067)------------------------------
% 0.20/0.52 % (14067)------------------------------
% 0.20/0.52 % (14052)Success in time 0.17 s
%------------------------------------------------------------------------------