TSTP Solution File: KRS128+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : Tue Apr 30 20:24:50 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 7 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 193 ( 74 ~; 71 |; 35 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 68 ( 54 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cexcomp(Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ca_Cx4(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( ca_Cx4(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ( cd(X)
& cexcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cexcomp(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| ca_Cx4(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rr(X,Y)
& cexcomp(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| ca_Cx4(Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ cexcomp(Y) )
| ? [Y] :
( rr(X,Y)
& ~ cd(Y) )
| ? [Y] :
( rr(X,Y)
& ~ ca_Cx4(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rr(X,Y)
& cexcomp(Y) )
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| ca_Cx4(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ cexcomp(Y) )
| ? [Y] :
( rr(X,Y)
& ~ cd(Y) )
| ? [Y] :
( rr(X,Y)
& ~ ca_Cx4(Y) ) ) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f23,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rr(X,sk0_0(X))
& cexcomp(sk0_0(X))
& ! [Y] :
( ~ rr(X,Y)
| cd(Y) )
& ! [Y] :
( ~ rr(X,Y)
| ca_Cx4(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rr(X,Y)
| ~ cexcomp(Y) )
| ( rr(X,sk0_1(X))
& ~ cd(sk0_1(X)) )
| ( rr(X,sk0_2(X))
& ~ ca_Cx4(sk0_2(X)) ) ) ),
inference(skolemization,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cexcomp(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f26,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| cd(X1) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f27,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ca_Cx4(X1) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f56,plain,
! [X] :
( ( ~ ca_Cx4(X)
| ? [Y0] : ra_Px4(X,Y0) )
& ( ca_Cx4(X)
| ! [Y0] : ~ ra_Px4(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f9]) ).
fof(f57,plain,
( ! [X] :
( ~ ca_Cx4(X)
| ? [Y0] : ra_Px4(X,Y0) )
& ! [X] :
( ca_Cx4(X)
| ! [Y0] : ~ ra_Px4(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f56]) ).
fof(f58,plain,
( ! [X] :
( ~ ca_Cx4(X)
| ra_Px4(X,sk0_7(X)) )
& ! [X] :
( ca_Cx4(X)
| ! [Y0] : ~ ra_Px4(X,Y0) ) ),
inference(skolemization,[status(esa)],[f57]) ).
fof(f59,plain,
! [X0] :
( ~ ca_Cx4(X0)
| ra_Px4(X0,sk0_7(X0)) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f61,plain,
! [X] :
( ca_Cx4xcomp(X)
<=> ! [Y] : ~ ra_Px4(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f62,plain,
! [X] :
( ( ~ ca_Cx4xcomp(X)
| ! [Y] : ~ ra_Px4(X,Y) )
& ( ca_Cx4xcomp(X)
| ? [Y] : ra_Px4(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
( ! [X] :
( ~ ca_Cx4xcomp(X)
| ! [Y] : ~ ra_Px4(X,Y) )
& ! [X] :
( ca_Cx4xcomp(X)
| ? [Y] : ra_Px4(X,Y) ) ),
inference(miniscoping,[status(esa)],[f62]) ).
fof(f64,plain,
( ! [X] :
( ~ ca_Cx4xcomp(X)
| ! [Y] : ~ ra_Px4(X,Y) )
& ! [X] :
( ca_Cx4xcomp(X)
| ra_Px4(X,sk0_8(X)) ) ),
inference(skolemization,[status(esa)],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ ca_Cx4xcomp(X0)
| ~ ra_Px4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f67,plain,
! [X] :
( ( ~ ca_Cx4xcomp(X)
| ( cd(X)
& cexcomp(X) ) )
& ( ca_Cx4xcomp(X)
| ~ cd(X)
| ~ cexcomp(X) ) ),
inference(NNF_transformation,[status(esa)],[f11]) ).
fof(f68,plain,
( ! [X] :
( ~ ca_Cx4xcomp(X)
| ( cd(X)
& cexcomp(X) ) )
& ! [X] :
( ca_Cx4xcomp(X)
| ~ cd(X)
| ~ cexcomp(X) ) ),
inference(miniscoping,[status(esa)],[f67]) ).
fof(f71,plain,
! [X0] :
( ca_Cx4xcomp(X0)
| ~ cd(X0)
| ~ cexcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f72,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f73,plain,
rr(i2003_11_14_17_22_31584,sk0_0(i2003_11_14_17_22_31584)),
inference(resolution,[status(thm)],[f24,f72]) ).
fof(f79,plain,
cexcomp(sk0_0(i2003_11_14_17_22_31584)),
inference(resolution,[status(thm)],[f25,f72]) ).
fof(f80,plain,
( spl0_0
<=> cUnsatisfiable(i2003_11_14_17_22_31584) ),
introduced(split_symbol_definition) ).
fof(f82,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| spl0_0 ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( spl0_1
<=> cexcomp(sk0_0(i2003_11_14_17_22_31584)) ),
introduced(split_symbol_definition) ).
fof(f85,plain,
( ~ cexcomp(sk0_0(i2003_11_14_17_22_31584))
| spl0_1 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f104,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f79]) ).
fof(f105,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f104]) ).
fof(f113,plain,
( spl0_6
<=> cd(sk0_0(i2003_11_14_17_22_31584)) ),
introduced(split_symbol_definition) ).
fof(f114,plain,
( cd(sk0_0(i2003_11_14_17_22_31584))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| cd(sk0_0(i2003_11_14_17_22_31584)) ),
inference(resolution,[status(thm)],[f26,f73]) ).
fof(f117,plain,
( ~ spl0_0
| spl0_6 ),
inference(split_clause,[status(thm)],[f116,f80,f113]) ).
fof(f118,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f72]) ).
fof(f119,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( spl0_7
<=> ca_Cx4(sk0_0(i2003_11_14_17_22_31584)) ),
introduced(split_symbol_definition) ).
fof(f121,plain,
( ca_Cx4(sk0_0(i2003_11_14_17_22_31584))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| ca_Cx4(sk0_0(i2003_11_14_17_22_31584)) ),
inference(resolution,[status(thm)],[f27,f73]) ).
fof(f124,plain,
( ~ spl0_0
| spl0_7 ),
inference(split_clause,[status(thm)],[f123,f80,f120]) ).
fof(f130,plain,
( spl0_8
<=> ca_Cx4xcomp(sk0_0(i2003_11_14_17_22_31584)) ),
introduced(split_symbol_definition) ).
fof(f131,plain,
( ca_Cx4xcomp(sk0_0(i2003_11_14_17_22_31584))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( ca_Cx4xcomp(sk0_0(i2003_11_14_17_22_31584))
| ~ cexcomp(sk0_0(i2003_11_14_17_22_31584))
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f114,f71]) ).
fof(f134,plain,
( spl0_8
| ~ spl0_1
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f133,f130,f83,f113]) ).
fof(f136,plain,
( ra_Px4(sk0_0(i2003_11_14_17_22_31584),sk0_7(sk0_0(i2003_11_14_17_22_31584)))
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f121,f59]) ).
fof(f141,plain,
( ~ ca_Cx4xcomp(sk0_0(i2003_11_14_17_22_31584))
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f136,f65]) ).
fof(f142,plain,
( $false
| ~ spl0_8
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f131]) ).
fof(f143,plain,
( ~ spl0_8
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f142]) ).
fof(f144,plain,
$false,
inference(sat_refutation,[status(thm)],[f105,f117,f119,f124,f134,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:20:11 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36 % Elapsed time: 0.009616 seconds
% 0.11/0.36 % CPU time: 0.018406 seconds
% 0.11/0.36 % Total memory used: 692.608 KB
% 0.11/0.36 % Net memory used: 672.352 KB
%------------------------------------------------------------------------------