TSTP Solution File: KRS090+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:24:44 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 4 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 48 ~; 44 |; 11 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( cC2(X)
=> ( ( ~ cB(X)
| cA(X) )
& ( cB(X)
| cA(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cC3(X)
=> ( ( ~ cB(X)
| ~ cA(X) )
& ( cB(X)
| ~ cA(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( cC4(X)
=> ? [Y] :
( rR(X,Y)
& cC2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cC5(X)
=> ! [Y] :
( rR(X,Y)
=> cC3(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cTEST(X)
=> ( cC4(X)
& cC1(X)
& cC5(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,plain,
! [X] :
( ~ cC2(X)
| ( ( ~ cB(X)
| cA(X) )
& ( cB(X)
| cA(X) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f51,plain,
! [X0] :
( ~ cC2(X0)
| ~ cB(X0)
| cA(X0) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ cC2(X0)
| cB(X0)
| cA(X0) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f53,plain,
! [X] :
( ~ cC3(X)
| ( ( ~ cB(X)
| ~ cA(X) )
& ( cB(X)
| ~ cA(X) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f54,plain,
! [X0] :
( ~ cC3(X0)
| ~ cB(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ cC3(X0)
| cB(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f56,plain,
! [X] :
( ~ cC4(X)
| ? [Y] :
( rR(X,Y)
& cC2(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f57,plain,
! [X] :
( ~ cC4(X)
| ( rR(X,sk0_0(X))
& cC2(sk0_0(X)) ) ),
inference(skolemization,[status(esa)],[f56]) ).
fof(f58,plain,
! [X0] :
( ~ cC4(X0)
| rR(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f59,plain,
! [X0] :
( ~ cC4(X0)
| cC2(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f60,plain,
! [X] :
( ~ cC5(X)
| ! [Y] :
( ~ rR(X,Y)
| cC3(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f61,plain,
! [X0,X1] :
( ~ cC5(X0)
| ~ rR(X0,X1)
| cC3(X1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f62,plain,
! [X] :
( ~ cTEST(X)
| ( cC4(X)
& cC1(X)
& cC5(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f63,plain,
! [X0] :
( ~ cTEST(X0)
| cC4(X0) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f65,plain,
! [X0] :
( ~ cTEST(X0)
| cC5(X0) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f66,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f67,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f51]) ).
fof(f68,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f54]) ).
fof(f69,plain,
! [X0,X1] :
( ~ rR(X0,X1)
| cC3(X1)
| ~ cTEST(X0) ),
inference(resolution,[status(thm)],[f61,f65]) ).
fof(f70,plain,
! [X0] :
( ~ rR(i2003_11_14_17_19_57994,X0)
| cC3(X0) ),
inference(resolution,[status(thm)],[f69,f66]) ).
fof(f71,plain,
( spl0_0
<=> cC3(sk0_0(i2003_11_14_17_19_57994)) ),
introduced(split_symbol_definition) ).
fof(f72,plain,
( cC3(sk0_0(i2003_11_14_17_19_57994))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( spl0_1
<=> cC4(i2003_11_14_17_19_57994) ),
introduced(split_symbol_definition) ).
fof(f76,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| spl0_1 ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( cC3(sk0_0(i2003_11_14_17_19_57994))
| ~ cC4(i2003_11_14_17_19_57994) ),
inference(resolution,[status(thm)],[f70,f58]) ).
fof(f78,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f77,f71,f74]) ).
fof(f79,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| spl0_1 ),
inference(resolution,[status(thm)],[f76,f63]) ).
fof(f80,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f66]) ).
fof(f81,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f80]) ).
fof(f82,plain,
( ~ cA(sk0_0(i2003_11_14_17_19_57994))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f72,f68]) ).
fof(f83,plain,
( ~ cC2(sk0_0(i2003_11_14_17_19_57994))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f82,f67]) ).
fof(f84,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f83,f59]) ).
fof(f85,plain,
( ~ spl0_1
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f84,f74,f71]) ).
fof(f86,plain,
$false,
inference(sat_refutation,[status(thm)],[f78,f81,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n023.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 23:39:10 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
% 0.11/0.35 % Elapsed time: 0.010853 seconds
% 0.11/0.35 % CPU time: 0.020193 seconds
% 0.11/0.35 % Total memory used: 833.904 KB
% 0.11/0.35 % Net memory used: 829.312 KB
%------------------------------------------------------------------------------