TSTP Solution File: KRS070+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS070+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Tue Apr 30 20:24:41 EDT 2024
% Result : Unsatisfiable 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 141 ( 6 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 150 ( 56 ~; 54 |; 32 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 59 ( 48 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rrx4(X,Y)
& cc2(Y) )
& ~ ? [Y] :
( rrx3(X,Y)
& cc2(Y)
& cc1(Y) )
& ? [Y] :
( rrx3(X,Y)
& cc1(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y,Z] :
( ( rrx(X,Y)
& rrx(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
cUnsatisfiable(i2003_11_14_17_18_32242),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X,Y] :
( rrx3(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X,Y] :
( rrx4(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rrx4(X,Y)
& cc2(Y) )
& ! [Y] :
( ~ rrx3(X,Y)
| ~ cc2(Y)
| ~ cc1(Y) )
& ? [Y] :
( rrx3(X,Y)
& cc1(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f134,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rrx4(X,Y)
& cc2(Y) )
& ! [Y] :
( ~ rrx3(X,Y)
| ~ cc2(Y)
| ~ cc1(Y) )
& ? [Y] :
( rrx3(X,Y)
& cc1(Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rrx4(X,Y)
| ~ cc2(Y) )
| ? [Y] :
( rrx3(X,Y)
& cc2(Y)
& cc1(Y) )
| ! [Y] :
( ~ rrx3(X,Y)
| ~ cc1(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rrx4(X,Y)
& cc2(Y) )
& ! [Y] :
( ~ rrx3(X,Y)
| ~ cc2(Y)
| ~ cc1(Y) )
& ? [Y] :
( rrx3(X,Y)
& cc1(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rrx4(X,Y)
| ~ cc2(Y) )
| ? [Y] :
( rrx3(X,Y)
& cc2(Y)
& cc1(Y) )
| ! [Y] :
( ~ rrx3(X,Y)
| ~ cc1(Y) ) ) ),
inference(miniscoping,[status(esa)],[f134]) ).
fof(f136,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rrx4(X,sk0_0(X))
& cc2(sk0_0(X))
& ! [Y] :
( ~ rrx3(X,Y)
| ~ cc2(Y)
| ~ cc1(Y) )
& rrx3(X,sk0_1(X))
& cc1(sk0_1(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rrx4(X,Y)
| ~ cc2(Y) )
| ( rrx3(X,sk0_2(X))
& cc2(sk0_2(X))
& cc1(sk0_2(X)) )
| ! [Y] :
( ~ rrx3(X,Y)
| ~ cc1(Y) ) ) ),
inference(skolemization,[status(esa)],[f135]) ).
fof(f137,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rrx4(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f138,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc2(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f139,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rrx3(X0,X1)
| ~ cc2(X1)
| ~ cc1(X1) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f140,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rrx3(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f141,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc1(sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f145,plain,
! [X,Y,Z] :
( ~ rrx(X,Y)
| ~ rrx(X,Z)
| Y = Z ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f146,plain,
! [Y,Z] :
( ! [X] :
( ~ rrx(X,Y)
| ~ rrx(X,Z) )
| Y = Z ),
inference(miniscoping,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ rrx(X0,X1)
| ~ rrx(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f160,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f161,plain,
! [X,Y] :
( ~ rrx3(X,Y)
| rrx(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f162,plain,
! [X0,X1] :
( ~ rrx3(X0,X1)
| rrx(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f161]) ).
fof(f175,plain,
! [X,Y] :
( ~ rrx4(X,Y)
| rrx(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f176,plain,
! [X0,X1] :
( ~ rrx4(X0,X1)
| rrx(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f175]) ).
fof(f177,plain,
cc2(sk0_0(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f138,f160]) ).
fof(f178,plain,
rrx4(i2003_11_14_17_18_32242,sk0_0(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f137,f160]) ).
fof(f179,plain,
cc1(sk0_1(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f141,f160]) ).
fof(f180,plain,
rrx(i2003_11_14_17_18_32242,sk0_0(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f178,f176]) ).
fof(f182,plain,
( spl0_0
<=> cUnsatisfiable(i2003_11_14_17_18_32242) ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| spl0_0 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( spl0_1
<=> cc2(sk0_0(i2003_11_14_17_18_32242)) ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( ~ cc2(sk0_0(i2003_11_14_17_18_32242))
| spl0_1 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f206,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f177]) ).
fof(f207,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f208,plain,
rrx3(i2003_11_14_17_18_32242,sk0_1(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f140,f160]) ).
fof(f210,plain,
rrx(i2003_11_14_17_18_32242,sk0_1(i2003_11_14_17_18_32242)),
inference(resolution,[status(thm)],[f208,f162]) ).
fof(f221,plain,
! [X0] :
( ~ rrx(i2003_11_14_17_18_32242,X0)
| sk0_1(i2003_11_14_17_18_32242) = X0 ),
inference(resolution,[status(thm)],[f147,f210]) ).
fof(f225,plain,
sk0_1(i2003_11_14_17_18_32242) = sk0_0(i2003_11_14_17_18_32242),
inference(resolution,[status(thm)],[f221,f180]) ).
fof(f230,plain,
rrx3(i2003_11_14_17_18_32242,sk0_0(i2003_11_14_17_18_32242)),
inference(backward_demodulation,[status(thm)],[f225,f208]) ).
fof(f231,plain,
cc1(sk0_0(i2003_11_14_17_18_32242)),
inference(backward_demodulation,[status(thm)],[f225,f179]) ).
fof(f235,plain,
( spl0_8
<=> cc1(sk0_0(i2003_11_14_17_18_32242)) ),
introduced(split_symbol_definition) ).
fof(f237,plain,
( ~ cc1(sk0_0(i2003_11_14_17_18_32242))
| spl0_8 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| ~ cc2(sk0_0(i2003_11_14_17_18_32242))
| ~ cc1(sk0_0(i2003_11_14_17_18_32242)) ),
inference(resolution,[status(thm)],[f230,f139]) ).
fof(f239,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f238,f182,f185,f235]) ).
fof(f240,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f237,f231]) ).
fof(f241,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f160]) ).
fof(f243,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f244,plain,
$false,
inference(sat_refutation,[status(thm)],[f207,f239,f241,f243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS070+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 : Mon Apr 29 23:58:13 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.19/0.35 % Refutation found
% 0.19/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.36 % Elapsed time: 0.016354 seconds
% 0.19/0.36 % CPU time: 0.037571 seconds
% 0.19/0.36 % Total memory used: 946.528 KB
% 0.19/0.36 % Net memory used: 894.016 KB
%------------------------------------------------------------------------------