TSTP Solution File: SEU451+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU451+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 May 31 12:37:10 EDT 2023
% Result : Theorem 2.67s 0.67s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 19 unt; 0 def)
% Number of atoms : 85 ( 32 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 27 ~; 22 |; 10 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 98 (; 95 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> k9_relset_2(A,A,B,k6_partfun1(A),C) = k9_relset_2(A,B,B,C,k6_partfun1(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B,C] :
( m2_relset_1(C,A,B)
=> k9_relset_2(A,A,B,k6_partfun1(A),C) = k9_relset_2(A,B,B,C,k6_partfun1(B)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f11,axiom,
! [A] :
( v1_partfun1(k6_partfun1(A),A,A)
& m2_relset_1(k6_partfun1(A),A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [A,B,C,D,E,F] :
( ( m1_relset_1(E,A,B)
& m1_relset_1(F,C,D) )
=> k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [A,B,C,D,E] :
( ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
& m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) )
=> k9_relset_2(A,B,C,D,E) = k5_relat_1(D,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C
& k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,plain,
? [A,B,C] :
( m2_relset_1(C,A,B)
& k9_relset_2(A,A,B,k6_partfun1(A),C) != k9_relset_2(A,B,B,C,k6_partfun1(B)) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( m2_relset_1(sk0_2,sk0_0,sk0_1)
& k9_relset_2(sk0_0,sk0_0,sk0_1,k6_partfun1(sk0_0),sk0_2) != k9_relset_2(sk0_0,sk0_1,sk0_1,sk0_2,k6_partfun1(sk0_1)) ),
inference(skolemization,[status(esa)],[f50]) ).
fof(f52,plain,
m2_relset_1(sk0_2,sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f53,plain,
k9_relset_2(sk0_0,sk0_0,sk0_1,k6_partfun1(sk0_0),sk0_2) != k9_relset_2(sk0_0,sk0_1,sk0_1,sk0_2,k6_partfun1(sk0_1)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f66,plain,
( ! [A] : v1_partfun1(k6_partfun1(A),A,A)
& ! [A] : m2_relset_1(k6_partfun1(A),A,A) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f68,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f74,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f133,plain,
! [A,B,C,D,E,F] :
( ~ m1_relset_1(E,A,B)
| ~ m1_relset_1(F,C,D)
| k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X1,X2,X4,X5,X0,X3) = k5_relat_1(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
! [A,B,C,D,E] :
( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))
| k9_relset_2(A,B,C,D,E) = k5_relat_1(D,E) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k9_relset_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f137,plain,
! [A,B,C] :
( ( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(esa)],[f39]) ).
fof(f138,plain,
( ! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) )
& ! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ) ),
inference(miniscoping,[status(esa)],[f137]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f145,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| ( k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C
& k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C ) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X0) = X0 ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| k7_relset_1(X1,X2,X2,X2,X0,k6_partfun1(X2)) = X0 ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f180,plain,
! [X0] : m1_relset_1(k6_partfun1(X0),X0,X0),
inference(resolution,[status(thm)],[f139,f68]) ).
fof(f181,plain,
m1_relset_1(sk0_2,sk0_0,sk0_1),
inference(resolution,[status(thm)],[f139,f52]) ).
fof(f188,plain,
k7_relset_1(sk0_0,sk0_0,sk0_0,sk0_1,k6_partfun1(sk0_0),sk0_2) = sk0_2,
inference(resolution,[status(thm)],[f146,f52]) ).
fof(f194,plain,
k7_relset_1(sk0_0,sk0_1,sk0_1,sk0_1,sk0_2,k6_partfun1(sk0_1)) = sk0_2,
inference(resolution,[status(thm)],[f147,f52]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X2,X3,X3,X0,k6_partfun1(X3)) = k5_relat_1(X0,k6_partfun1(X3)) ),
inference(resolution,[status(thm)],[f134,f180]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X2,sk0_0,sk0_1,X0,sk0_2) = k5_relat_1(X0,sk0_2) ),
inference(resolution,[status(thm)],[f134,f181]) ).
fof(f199,plain,
! [X0] : k7_relset_1(X0,X0,sk0_0,sk0_1,k6_partfun1(X0),sk0_2) = k5_relat_1(k6_partfun1(X0),sk0_2),
inference(resolution,[status(thm)],[f197,f180]) ).
fof(f201,plain,
k5_relat_1(k6_partfun1(sk0_0),sk0_2) = sk0_2,
inference(backward_demodulation,[status(thm)],[f199,f188]) ).
fof(f204,plain,
! [X0] : k7_relset_1(sk0_0,sk0_1,X0,X0,sk0_2,k6_partfun1(X0)) = k5_relat_1(sk0_2,k6_partfun1(X0)),
inference(resolution,[status(thm)],[f196,f181]) ).
fof(f207,plain,
k5_relat_1(sk0_2,k6_partfun1(sk0_1)) = sk0_2,
inference(backward_demodulation,[status(thm)],[f204,f194]) ).
fof(f969,plain,
! [X0] : m1_subset_1(k6_partfun1(X0),k1_zfmisc_1(k2_zfmisc_1(X0,X0))),
inference(resolution,[status(thm)],[f75,f68]) ).
fof(f970,plain,
m1_subset_1(sk0_2,k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_1))),
inference(resolution,[status(thm)],[f75,f52]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,sk0_0)))
| k9_relset_2(X1,sk0_0,sk0_1,X0,sk0_2) = k5_relat_1(X0,sk0_2) ),
inference(resolution,[status(thm)],[f970,f136]) ).
fof(f1494,plain,
k9_relset_2(sk0_0,sk0_0,sk0_1,k6_partfun1(sk0_0),sk0_2) = k5_relat_1(k6_partfun1(sk0_0),sk0_2),
inference(resolution,[status(thm)],[f969,f1005]) ).
fof(f1495,plain,
k9_relset_2(sk0_0,sk0_0,sk0_1,k6_partfun1(sk0_0),sk0_2) = sk0_2,
inference(forward_demodulation,[status(thm)],[f201,f1494]) ).
fof(f1502,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X1,X2,X2,X0,k6_partfun1(X2)) = k5_relat_1(X0,k6_partfun1(X2)) ),
inference(resolution,[status(thm)],[f969,f136]) ).
fof(f1507,plain,
sk0_2 != k9_relset_2(sk0_0,sk0_1,sk0_1,sk0_2,k6_partfun1(sk0_1)),
inference(backward_demodulation,[status(thm)],[f1495,f53]) ).
fof(f1510,plain,
k9_relset_2(sk0_0,sk0_1,sk0_1,sk0_2,k6_partfun1(sk0_1)) = k5_relat_1(sk0_2,k6_partfun1(sk0_1)),
inference(resolution,[status(thm)],[f1502,f970]) ).
fof(f1511,plain,
k9_relset_2(sk0_0,sk0_1,sk0_1,sk0_2,k6_partfun1(sk0_1)) = sk0_2,
inference(forward_demodulation,[status(thm)],[f207,f1510]) ).
fof(f1512,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1511,f1507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU451+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n029.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 09:28:06 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 2.67/0.67 % Refutation found
% 2.67/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.67/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.67/0.69 % Elapsed time: 0.423279 seconds
% 2.67/0.69 % CPU time: 3.239731 seconds
% 2.67/0.69 % Memory used: 111.002 MB
%------------------------------------------------------------------------------