TSTP Solution File: SEU427+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU427+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:37:03 EDT 2023
% Result : Theorem 20.52s 3.23s
% Output : CNFRefutation 21.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 20 unt; 0 def)
% Number of atoms : 118 ( 58 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 44 ~; 35 |; 16 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 69 (; 59 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [A] : k2_xboole_0(A,k1_xboole_0) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f431,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f433,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4495,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
<=> C = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4498,conjecture,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
=> k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4499,negated_conjecture,
~ ! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
=> k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4498]) ).
fof(f4705,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f4712,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f5577,plain,
! [A,B,C] :
( ~ m1_subset_1(B,k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f431]) ).
fof(f5578,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| k4_subset_1(X1,X0,X2) = k4_subset_1(X1,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f5577]) ).
fof(f5582,plain,
! [A,B,C] :
( ~ m1_subset_1(B,k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f433]) ).
fof(f5583,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5582]) ).
fof(f17575,plain,
! [A,B,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(A))
| ! [D] :
( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
<=> C = k1_xboole_0 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4495]) ).
fof(f17576,plain,
! [A,B,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(A))
| ! [D] :
( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ( ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0
| C = k1_xboole_0 )
& ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
| C != k1_xboole_0 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f17575]) ).
fof(f17577,plain,
! [A,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(A))
| ! [B,D] :
( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ( ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0
| C = k1_xboole_0 )
& ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
| C != k1_xboole_0 ) ) ) ),
inference(miniscoping,[status(esa)],[f17576]) ).
fof(f17578,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))
| k4_relset_2(k1_zfmisc_1(X1),X3,k6_relset_2(X3,X1,X2),k3_pua2mss1(X0)) != k1_xboole_0
| X0 = k1_xboole_0 ),
inference(cnf_transformation,[status(esa)],[f17577]) ).
fof(f17589,plain,
? [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
& ? [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
& ? [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
& k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
& k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4499]) ).
fof(f17590,plain,
? [A,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
& ? [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
& ? [B,E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
& k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
& k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E) ) ) ),
inference(miniscoping,[status(esa)],[f17589]) ).
fof(f17591,plain,
( m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206))
& m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206))
& m1_subset_1(sk0_1210,k1_zfmisc_1(k2_zfmisc_1(sk0_1206,sk0_1209)))
& k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) = k1_xboole_0
& k8_relset_2(sk0_1206,sk0_1209,k4_subset_1(sk0_1206,sk0_1207,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210) ),
inference(skolemization,[status(esa)],[f17590]) ).
fof(f17592,plain,
m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206)),
inference(cnf_transformation,[status(esa)],[f17591]) ).
fof(f17593,plain,
m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206)),
inference(cnf_transformation,[status(esa)],[f17591]) ).
fof(f17594,plain,
m1_subset_1(sk0_1210,k1_zfmisc_1(k2_zfmisc_1(sk0_1206,sk0_1209))),
inference(cnf_transformation,[status(esa)],[f17591]) ).
fof(f17595,plain,
k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) = k1_xboole_0,
inference(cnf_transformation,[status(esa)],[f17591]) ).
fof(f17596,plain,
k8_relset_2(sk0_1206,sk0_1209,k4_subset_1(sk0_1206,sk0_1207,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210),
inference(cnf_transformation,[status(esa)],[f17591]) ).
fof(f22010,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_1206))
| k4_subset_1(sk0_1206,X0,sk0_1207) = k4_subset_1(sk0_1206,sk0_1207,X0) ),
inference(resolution,[status(thm)],[f5578,f17592]) ).
fof(f22057,plain,
k4_subset_1(sk0_1206,sk0_1208,sk0_1207) = k4_subset_1(sk0_1206,sk0_1207,sk0_1208),
inference(resolution,[status(thm)],[f22010,f17593]) ).
fof(f22410,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_1206))
| k4_subset_1(sk0_1206,X0,sk0_1207) = k2_xboole_0(X0,sk0_1207) ),
inference(resolution,[status(thm)],[f5583,f17592]) ).
fof(f22411,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_1206))
| k4_subset_1(sk0_1206,X0,sk0_1208) = k2_xboole_0(X0,sk0_1208) ),
inference(resolution,[status(thm)],[f5583,f17593]) ).
fof(f22579,plain,
k4_subset_1(sk0_1206,sk0_1208,sk0_1207) = k2_xboole_0(sk0_1208,sk0_1207),
inference(resolution,[status(thm)],[f22410,f17593]) ).
fof(f22580,plain,
k4_subset_1(sk0_1206,sk0_1207,sk0_1208) = k2_xboole_0(sk0_1208,sk0_1207),
inference(forward_demodulation,[status(thm)],[f22057,f22579]) ).
fof(f22587,plain,
k8_relset_2(sk0_1206,sk0_1209,k2_xboole_0(sk0_1208,sk0_1207),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210),
inference(backward_demodulation,[status(thm)],[f22580,f17596]) ).
fof(f22620,plain,
k4_subset_1(sk0_1206,sk0_1207,sk0_1208) = k2_xboole_0(sk0_1207,sk0_1208),
inference(resolution,[status(thm)],[f22411,f17592]) ).
fof(f22621,plain,
k2_xboole_0(sk0_1208,sk0_1207) = k2_xboole_0(sk0_1207,sk0_1208),
inference(forward_demodulation,[status(thm)],[f22580,f22620]) ).
fof(f22627,plain,
k8_relset_2(sk0_1206,sk0_1209,k2_xboole_0(sk0_1207,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210),
inference(backward_demodulation,[status(thm)],[f22621,f22587]) ).
fof(f23961,plain,
( spl0_723
<=> sk0_1207 = k1_xboole_0 ),
introduced(split_symbol_definition) ).
fof(f23962,plain,
( sk0_1207 = k1_xboole_0
| ~ spl0_723 ),
inference(component_clause,[status(thm)],[f23961]) ).
fof(f24209,plain,
( k8_relset_2(sk0_1206,sk0_1209,k2_xboole_0(k1_xboole_0,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210)
| ~ spl0_723 ),
inference(backward_demodulation,[status(thm)],[f23962,f22627]) ).
fof(f24551,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_1206))
| k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(X0)) != k1_xboole_0
| X0 = k1_xboole_0 ),
inference(resolution,[status(thm)],[f17594,f17578]) ).
fof(f25087,plain,
! [X0] : X0 = k2_xboole_0(k1_xboole_0,X0),
inference(paramodulation,[status(thm)],[f4712,f4705]) ).
fof(f25543,plain,
( k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210)
| ~ spl0_723 ),
inference(forward_demodulation,[status(thm)],[f25087,f24209]) ).
fof(f25544,plain,
( $false
| ~ spl0_723 ),
inference(trivial_equality_resolution,[status(esa)],[f25543]) ).
fof(f25545,plain,
~ spl0_723,
inference(contradiction_clause,[status(thm)],[f25544]) ).
fof(f28235,plain,
( spl0_860
<=> k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) = k1_xboole_0 ),
introduced(split_symbol_definition) ).
fof(f28237,plain,
( k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) != k1_xboole_0
| spl0_860 ),
inference(component_clause,[status(thm)],[f28235]) ).
fof(f28238,plain,
( k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) != k1_xboole_0
| sk0_1207 = k1_xboole_0 ),
inference(resolution,[status(thm)],[f24551,f17592]) ).
fof(f28239,plain,
( ~ spl0_860
| spl0_723 ),
inference(split_clause,[status(thm)],[f28238,f28235,f23961]) ).
fof(f28263,plain,
( k1_xboole_0 != k1_xboole_0
| spl0_860 ),
inference(forward_demodulation,[status(thm)],[f17595,f28237]) ).
fof(f28264,plain,
( $false
| spl0_860 ),
inference(trivial_equality_resolution,[status(esa)],[f28263]) ).
fof(f28265,plain,
spl0_860,
inference(contradiction_clause,[status(thm)],[f28264]) ).
fof(f28266,plain,
$false,
inference(sat_refutation,[status(thm)],[f25545,f28239,f28265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU427+2 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:37:18 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.37/0.61 % Drodi V3.5.1
% 20.52/3.23 % Refutation found
% 20.52/3.23 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.52/3.23 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.38/3.30 % Elapsed time: 2.956078 seconds
% 21.38/3.30 % CPU time: 21.159341 seconds
% 21.38/3.30 % Memory used: 771.165 MB
%------------------------------------------------------------------------------