TSTP Solution File: CSR159+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR159+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:15:48 EDT 2024
% Result : Theorem 0.51s 1.05s
% Output : CNFRefutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 327 ( 5 equ)
% Maximal formula atoms : 80 ( 11 avg)
% Number of connectives : 431 ( 132 ~; 125 |; 161 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-7 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 234 ( 230 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [CLASS1,CLASS2] :
( p__d__disjoint(CLASS1,CLASS2)
<=> ! [INST] :
( ~ p__d__instance(INST,CLASS1)
| ~ p__d__instance(INST,CLASS2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ! [CLASS,ROW1,ROW2] :
( p__d__partition3(CLASS,ROW1,ROW2)
<=> ( p__d__exhaustiveDecomposition3(CLASS,ROW1,ROW2)
& p__d__disjointDecomposition3(CLASS,ROW1,ROW2) ) )
& ! [CLASS,ROW1,ROW2,ROW3] :
( p__d__partition4(CLASS,ROW1,ROW2,ROW3)
<=> ( p__d__exhaustiveDecomposition4(CLASS,ROW1,ROW2,ROW3)
& p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4] :
( p__d__partition5(CLASS,ROW1,ROW2,ROW3,ROW4)
<=> ( p__d__exhaustiveDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
& p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5] :
( p__d__partition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
<=> ( p__d__exhaustiveDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
& p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( p__d__partition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
<=> ( p__d__exhaustiveDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
& p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( ! [CLASS,ROW1,ROW2] :
( p__d__disjointDecomposition3(CLASS,ROW1,ROW2)
<=> p__d__disjoint(ROW1,ROW2) )
& ! [CLASS,ROW1,ROW2,ROW3] :
( p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3)
<=> ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW2,ROW3) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4] :
( p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
<=> ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW3,ROW4) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5] :
( p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
<=> ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW1,ROW5)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW2,ROW5)
& p__d__disjoint(ROW3,ROW4)
& p__d__disjoint(ROW3,ROW5)
& p__d__disjoint(ROW4,ROW5) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
<=> ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW1,ROW5)
& p__d__disjoint(ROW1,ROW6)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW2,ROW5)
& p__d__disjoint(ROW2,ROW6)
& p__d__disjoint(ROW3,ROW4)
& p__d__disjoint(ROW3,ROW5)
& p__d__disjoint(ROW3,ROW6)
& p__d__disjoint(ROW4,ROW5)
& p__d__disjoint(ROW4,ROW6)
& p__d__disjoint(ROW5,ROW6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f290,axiom,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7433,conjecture,
! [X,Y] :
( ( p__d__instance(X,c__EvenInteger)
& p__d__instance(Y,c__OddInteger) )
=> X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7434,negated_conjecture,
~ ! [X,Y] :
( ( p__d__instance(X,c__EvenInteger)
& p__d__instance(Y,c__OddInteger) )
=> X != Y ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7444,plain,
! [CLASS1,CLASS2] :
( ( ~ p__d__disjoint(CLASS1,CLASS2)
| ! [INST] :
( ~ p__d__instance(INST,CLASS1)
| ~ p__d__instance(INST,CLASS2) ) )
& ( p__d__disjoint(CLASS1,CLASS2)
| ? [INST] :
( p__d__instance(INST,CLASS1)
& p__d__instance(INST,CLASS2) ) ) ),
inference(NNF_transformation,[status(esa)],[f5]) ).
fof(f7445,plain,
( ! [CLASS1,CLASS2] :
( ~ p__d__disjoint(CLASS1,CLASS2)
| ! [INST] :
( ~ p__d__instance(INST,CLASS1)
| ~ p__d__instance(INST,CLASS2) ) )
& ! [CLASS1,CLASS2] :
( p__d__disjoint(CLASS1,CLASS2)
| ? [INST] :
( p__d__instance(INST,CLASS1)
& p__d__instance(INST,CLASS2) ) ) ),
inference(miniscoping,[status(esa)],[f7444]) ).
fof(f7446,plain,
( ! [CLASS1,CLASS2] :
( ~ p__d__disjoint(CLASS1,CLASS2)
| ! [INST] :
( ~ p__d__instance(INST,CLASS1)
| ~ p__d__instance(INST,CLASS2) ) )
& ! [CLASS1,CLASS2] :
( p__d__disjoint(CLASS1,CLASS2)
| ( p__d__instance(sk0_0(CLASS2,CLASS1),CLASS1)
& p__d__instance(sk0_0(CLASS2,CLASS1),CLASS2) ) ) ),
inference(skolemization,[status(esa)],[f7445]) ).
fof(f7447,plain,
! [X0,X1,X2] :
( ~ p__d__disjoint(X0,X1)
| ~ p__d__instance(X2,X0)
| ~ p__d__instance(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f7446]) ).
fof(f7450,plain,
( ! [CLASS,ROW1,ROW2] :
( ( ~ p__d__partition3(CLASS,ROW1,ROW2)
| ( p__d__exhaustiveDecomposition3(CLASS,ROW1,ROW2)
& p__d__disjointDecomposition3(CLASS,ROW1,ROW2) ) )
& ( p__d__partition3(CLASS,ROW1,ROW2)
| ~ p__d__exhaustiveDecomposition3(CLASS,ROW1,ROW2)
| ~ p__d__disjointDecomposition3(CLASS,ROW1,ROW2) ) )
& ! [CLASS,ROW1,ROW2,ROW3] :
( ( ~ p__d__partition4(CLASS,ROW1,ROW2,ROW3)
| ( p__d__exhaustiveDecomposition4(CLASS,ROW1,ROW2,ROW3)
& p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3) ) )
& ( p__d__partition4(CLASS,ROW1,ROW2,ROW3)
| ~ p__d__exhaustiveDecomposition4(CLASS,ROW1,ROW2,ROW3)
| ~ p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4] :
( ( ~ p__d__partition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ( p__d__exhaustiveDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
& p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4) ) )
& ( p__d__partition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ~ p__d__exhaustiveDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ~ p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5] :
( ( ~ p__d__partition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ( p__d__exhaustiveDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
& p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5) ) )
& ( p__d__partition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ~ p__d__exhaustiveDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ~ p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( ( ~ p__d__partition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ( p__d__exhaustiveDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
& p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6) ) )
& ( p__d__partition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ~ p__d__exhaustiveDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ~ p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6) ) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f7451,plain,
( ! [CLASS,ROW1,ROW2] :
( ~ p__d__partition3(CLASS,ROW1,ROW2)
| ( p__d__exhaustiveDecomposition3(CLASS,ROW1,ROW2)
& p__d__disjointDecomposition3(CLASS,ROW1,ROW2) ) )
& ! [CLASS,ROW1,ROW2] :
( p__d__partition3(CLASS,ROW1,ROW2)
| ~ p__d__exhaustiveDecomposition3(CLASS,ROW1,ROW2)
| ~ p__d__disjointDecomposition3(CLASS,ROW1,ROW2) )
& ! [CLASS,ROW1,ROW2,ROW3] :
( ~ p__d__partition4(CLASS,ROW1,ROW2,ROW3)
| ( p__d__exhaustiveDecomposition4(CLASS,ROW1,ROW2,ROW3)
& p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3) ) )
& ! [CLASS,ROW1,ROW2,ROW3] :
( p__d__partition4(CLASS,ROW1,ROW2,ROW3)
| ~ p__d__exhaustiveDecomposition4(CLASS,ROW1,ROW2,ROW3)
| ~ p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4] :
( ~ p__d__partition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ( p__d__exhaustiveDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
& p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4] :
( p__d__partition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ~ p__d__exhaustiveDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ~ p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5] :
( ~ p__d__partition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ( p__d__exhaustiveDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
& p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5] :
( p__d__partition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ~ p__d__exhaustiveDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ~ p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( ~ p__d__partition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ( p__d__exhaustiveDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
& p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( p__d__partition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ~ p__d__exhaustiveDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ~ p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6) ) ),
inference(miniscoping,[status(esa)],[f7450]) ).
fof(f7453,plain,
! [X0,X1,X2] :
( ~ p__d__partition3(X0,X1,X2)
| p__d__disjointDecomposition3(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f7451]) ).
fof(f7501,plain,
( ! [CLASS,ROW1,ROW2] :
( ( ~ p__d__disjointDecomposition3(CLASS,ROW1,ROW2)
| p__d__disjoint(ROW1,ROW2) )
& ( p__d__disjointDecomposition3(CLASS,ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW2) ) )
& ! [CLASS,ROW1,ROW2,ROW3] :
( ( ~ p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW2,ROW3) ) )
& ( p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW2,ROW3) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4] :
( ( ~ p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW3,ROW4) ) )
& ( p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW1,ROW4)
| ~ p__d__disjoint(ROW2,ROW3)
| ~ p__d__disjoint(ROW2,ROW4)
| ~ p__d__disjoint(ROW3,ROW4) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5] :
( ( ~ p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW1,ROW5)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW2,ROW5)
& p__d__disjoint(ROW3,ROW4)
& p__d__disjoint(ROW3,ROW5)
& p__d__disjoint(ROW4,ROW5) ) )
& ( p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW1,ROW4)
| ~ p__d__disjoint(ROW1,ROW5)
| ~ p__d__disjoint(ROW2,ROW3)
| ~ p__d__disjoint(ROW2,ROW4)
| ~ p__d__disjoint(ROW2,ROW5)
| ~ p__d__disjoint(ROW3,ROW4)
| ~ p__d__disjoint(ROW3,ROW5)
| ~ p__d__disjoint(ROW4,ROW5) ) )
& ! [CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( ( ~ p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW1,ROW5)
& p__d__disjoint(ROW1,ROW6)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW2,ROW5)
& p__d__disjoint(ROW2,ROW6)
& p__d__disjoint(ROW3,ROW4)
& p__d__disjoint(ROW3,ROW5)
& p__d__disjoint(ROW3,ROW6)
& p__d__disjoint(ROW4,ROW5)
& p__d__disjoint(ROW4,ROW6)
& p__d__disjoint(ROW5,ROW6) ) )
& ( p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW1,ROW4)
| ~ p__d__disjoint(ROW1,ROW5)
| ~ p__d__disjoint(ROW1,ROW6)
| ~ p__d__disjoint(ROW2,ROW3)
| ~ p__d__disjoint(ROW2,ROW4)
| ~ p__d__disjoint(ROW2,ROW5)
| ~ p__d__disjoint(ROW2,ROW6)
| ~ p__d__disjoint(ROW3,ROW4)
| ~ p__d__disjoint(ROW3,ROW5)
| ~ p__d__disjoint(ROW3,ROW6)
| ~ p__d__disjoint(ROW4,ROW5)
| ~ p__d__disjoint(ROW4,ROW6)
| ~ p__d__disjoint(ROW5,ROW6) ) ) ),
inference(NNF_transformation,[status(esa)],[f8]) ).
fof(f7502,plain,
( ! [ROW1,ROW2] :
( ! [CLASS] : ~ p__d__disjointDecomposition3(CLASS,ROW1,ROW2)
| p__d__disjoint(ROW1,ROW2) )
& ! [ROW1,ROW2] :
( ! [CLASS] : p__d__disjointDecomposition3(CLASS,ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW2) )
& ! [ROW1,ROW2,ROW3] :
( ! [CLASS] : ~ p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW2,ROW3) ) )
& ! [ROW1,ROW2,ROW3] :
( ! [CLASS] : p__d__disjointDecomposition4(CLASS,ROW1,ROW2,ROW3)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW2,ROW3) )
& ! [ROW1,ROW2,ROW3,ROW4] :
( ! [CLASS] : ~ p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW3,ROW4) ) )
& ! [ROW1,ROW2,ROW3,ROW4] :
( ! [CLASS] : p__d__disjointDecomposition5(CLASS,ROW1,ROW2,ROW3,ROW4)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW1,ROW4)
| ~ p__d__disjoint(ROW2,ROW3)
| ~ p__d__disjoint(ROW2,ROW4)
| ~ p__d__disjoint(ROW3,ROW4) )
& ! [ROW1,ROW2,ROW3,ROW4,ROW5] :
( ! [CLASS] : ~ p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW1,ROW5)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW2,ROW5)
& p__d__disjoint(ROW3,ROW4)
& p__d__disjoint(ROW3,ROW5)
& p__d__disjoint(ROW4,ROW5) ) )
& ! [ROW1,ROW2,ROW3,ROW4,ROW5] :
( ! [CLASS] : p__d__disjointDecomposition6(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW1,ROW4)
| ~ p__d__disjoint(ROW1,ROW5)
| ~ p__d__disjoint(ROW2,ROW3)
| ~ p__d__disjoint(ROW2,ROW4)
| ~ p__d__disjoint(ROW2,ROW5)
| ~ p__d__disjoint(ROW3,ROW4)
| ~ p__d__disjoint(ROW3,ROW5)
| ~ p__d__disjoint(ROW4,ROW5) )
& ! [ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( ! [CLASS] : ~ p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ( p__d__disjoint(ROW1,ROW2)
& p__d__disjoint(ROW1,ROW3)
& p__d__disjoint(ROW1,ROW4)
& p__d__disjoint(ROW1,ROW5)
& p__d__disjoint(ROW1,ROW6)
& p__d__disjoint(ROW2,ROW3)
& p__d__disjoint(ROW2,ROW4)
& p__d__disjoint(ROW2,ROW5)
& p__d__disjoint(ROW2,ROW6)
& p__d__disjoint(ROW3,ROW4)
& p__d__disjoint(ROW3,ROW5)
& p__d__disjoint(ROW3,ROW6)
& p__d__disjoint(ROW4,ROW5)
& p__d__disjoint(ROW4,ROW6)
& p__d__disjoint(ROW5,ROW6) ) )
& ! [ROW1,ROW2,ROW3,ROW4,ROW5,ROW6] :
( ! [CLASS] : p__d__disjointDecomposition7(CLASS,ROW1,ROW2,ROW3,ROW4,ROW5,ROW6)
| ~ p__d__disjoint(ROW1,ROW2)
| ~ p__d__disjoint(ROW1,ROW3)
| ~ p__d__disjoint(ROW1,ROW4)
| ~ p__d__disjoint(ROW1,ROW5)
| ~ p__d__disjoint(ROW1,ROW6)
| ~ p__d__disjoint(ROW2,ROW3)
| ~ p__d__disjoint(ROW2,ROW4)
| ~ p__d__disjoint(ROW2,ROW5)
| ~ p__d__disjoint(ROW2,ROW6)
| ~ p__d__disjoint(ROW3,ROW4)
| ~ p__d__disjoint(ROW3,ROW5)
| ~ p__d__disjoint(ROW3,ROW6)
| ~ p__d__disjoint(ROW4,ROW5)
| ~ p__d__disjoint(ROW4,ROW6)
| ~ p__d__disjoint(ROW5,ROW6) ) ),
inference(miniscoping,[status(esa)],[f7501]) ).
fof(f7503,plain,
! [X0,X1,X2] :
( ~ p__d__disjointDecomposition3(X0,X1,X2)
| p__d__disjoint(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f7502]) ).
fof(f8028,plain,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
inference(cnf_transformation,[status(esa)],[f290]) ).
fof(f23432,plain,
? [X,Y] :
( p__d__instance(X,c__EvenInteger)
& p__d__instance(Y,c__OddInteger)
& X = Y ),
inference(pre_NNF_transformation,[status(esa)],[f7434]) ).
fof(f23433,plain,
( p__d__instance(sk0_1216,c__EvenInteger)
& p__d__instance(sk0_1217,c__OddInteger)
& sk0_1216 = sk0_1217 ),
inference(skolemization,[status(esa)],[f23432]) ).
fof(f23434,plain,
p__d__instance(sk0_1216,c__EvenInteger),
inference(cnf_transformation,[status(esa)],[f23433]) ).
fof(f23435,plain,
p__d__instance(sk0_1217,c__OddInteger),
inference(cnf_transformation,[status(esa)],[f23433]) ).
fof(f23436,plain,
sk0_1216 = sk0_1217,
inference(cnf_transformation,[status(esa)],[f23433]) ).
fof(f23762,plain,
p__d__instance(sk0_1216,c__OddInteger),
inference(forward_demodulation,[status(thm)],[f23436,f23435]) ).
fof(f23837,plain,
p__d__disjointDecomposition3(c__Integer,c__OddInteger,c__EvenInteger),
inference(resolution,[status(thm)],[f7453,f8028]) ).
fof(f27612,plain,
p__d__disjoint(c__OddInteger,c__EvenInteger),
inference(resolution,[status(thm)],[f7503,f23837]) ).
fof(f27989,plain,
! [X0] :
( ~ p__d__instance(X0,c__OddInteger)
| ~ p__d__instance(X0,c__EvenInteger) ),
inference(resolution,[status(thm)],[f27612,f7447]) ).
fof(f28152,plain,
~ p__d__instance(sk0_1216,c__OddInteger),
inference(resolution,[status(thm)],[f23434,f27989]) ).
fof(f28153,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f28152,f23762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR159+1 : TPTP v8.1.2. Released v7.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 Apr 30 00:07:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.38/0.55 % Drodi V3.6.0
% 0.51/1.05 % Refutation found
% 0.51/1.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.51/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.75/1.14 % Elapsed time: 0.783669 seconds
% 4.75/1.14 % CPU time: 4.371034 seconds
% 4.75/1.14 % Total memory used: 524.658 MB
% 4.75/1.14 % Net memory used: 522.835 MB
%------------------------------------------------------------------------------