TSTP Solution File: SEU427+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU427+3 : 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 12:37:04 EDT 2023
% Result : Theorem 26.23s 4.94s
% Output : CNFRefutation 28.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 14 unt; 0 def)
% Number of atoms : 126 ( 47 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 49 ~; 43 |; 16 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 68 (; 58 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,axiom,
! [A] : k2_xboole_0(A,k1_xboole_0) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f486,axiom,
! [A] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f568,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(f570,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(f19094,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(f19097,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(f19098,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)],[f19097]) ).
fof(f19311,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f20091,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[status(esa)],[f486]) ).
fof(f20312,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)],[f568]) ).
fof(f20313,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)],[f20312]) ).
fof(f20317,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)],[f570]) ).
fof(f20318,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)],[f20317]) ).
fof(f89296,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)],[f19094]) ).
fof(f89297,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)],[f89296]) ).
fof(f89298,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)],[f89297]) ).
fof(f89299,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)],[f89298]) ).
fof(f89310,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)],[f19098]) ).
fof(f89311,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)],[f89310]) ).
fof(f89312,plain,
( m1_subset_1(sk0_6524,k1_zfmisc_1(sk0_6523))
& m1_subset_1(sk0_6525,k1_zfmisc_1(sk0_6523))
& m1_subset_1(sk0_6527,k1_zfmisc_1(k2_zfmisc_1(sk0_6523,sk0_6526)))
& k4_relset_2(k1_zfmisc_1(sk0_6523),sk0_6526,k6_relset_2(sk0_6526,sk0_6523,sk0_6527),k3_pua2mss1(sk0_6524)) = k1_xboole_0
& k8_relset_2(sk0_6523,sk0_6526,k4_subset_1(sk0_6523,sk0_6524,sk0_6525),sk0_6527) != k8_relset_2(sk0_6523,sk0_6526,sk0_6525,sk0_6527) ),
inference(skolemization,[status(esa)],[f89311]) ).
fof(f89313,plain,
m1_subset_1(sk0_6524,k1_zfmisc_1(sk0_6523)),
inference(cnf_transformation,[status(esa)],[f89312]) ).
fof(f89314,plain,
m1_subset_1(sk0_6525,k1_zfmisc_1(sk0_6523)),
inference(cnf_transformation,[status(esa)],[f89312]) ).
fof(f89315,plain,
m1_subset_1(sk0_6527,k1_zfmisc_1(k2_zfmisc_1(sk0_6523,sk0_6526))),
inference(cnf_transformation,[status(esa)],[f89312]) ).
fof(f89316,plain,
k4_relset_2(k1_zfmisc_1(sk0_6523),sk0_6526,k6_relset_2(sk0_6526,sk0_6523,sk0_6527),k3_pua2mss1(sk0_6524)) = k1_xboole_0,
inference(cnf_transformation,[status(esa)],[f89312]) ).
fof(f89317,plain,
k8_relset_2(sk0_6523,sk0_6526,k4_subset_1(sk0_6523,sk0_6524,sk0_6525),sk0_6527) != k8_relset_2(sk0_6523,sk0_6526,sk0_6525,sk0_6527),
inference(cnf_transformation,[status(esa)],[f89312]) ).
fof(f104974,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_subset_1(X1,X0,k1_xboole_0) = k4_subset_1(X1,k1_xboole_0,X0) ),
inference(resolution,[status(thm)],[f20313,f20091]) ).
fof(f105038,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_6523))
| k4_subset_1(sk0_6523,X0,sk0_6524) = k2_xboole_0(X0,sk0_6524) ),
inference(resolution,[status(thm)],[f20318,f89313]) ).
fof(f105301,plain,
( spl0_2353
<=> k1_xboole_0 = sk0_6524 ),
introduced(split_symbol_definition) ).
fof(f105302,plain,
( k1_xboole_0 = sk0_6524
| ~ spl0_2353 ),
inference(component_clause,[status(thm)],[f105301]) ).
fof(f106419,plain,
( k8_relset_2(sk0_6523,sk0_6526,k4_subset_1(sk0_6523,k1_xboole_0,sk0_6525),sk0_6527) != k8_relset_2(sk0_6523,sk0_6526,sk0_6525,sk0_6527)
| ~ spl0_2353 ),
inference(backward_demodulation,[status(thm)],[f105302,f89317]) ).
fof(f107786,plain,
( spl0_2398
<=> m1_subset_1(sk0_6524,k1_zfmisc_1(sk0_6523)) ),
introduced(split_symbol_definition) ).
fof(f107788,plain,
( ~ m1_subset_1(sk0_6524,k1_zfmisc_1(sk0_6523))
| spl0_2398 ),
inference(component_clause,[status(thm)],[f107786]) ).
fof(f107789,plain,
( spl0_2399
<=> m1_subset_1(sk0_6527,k1_zfmisc_1(k2_zfmisc_1(sk0_6523,sk0_6526))) ),
introduced(split_symbol_definition) ).
fof(f107791,plain,
( ~ m1_subset_1(sk0_6527,k1_zfmisc_1(k2_zfmisc_1(sk0_6523,sk0_6526)))
| spl0_2399 ),
inference(component_clause,[status(thm)],[f107789]) ).
fof(f107792,plain,
( ~ m1_subset_1(sk0_6524,k1_zfmisc_1(sk0_6523))
| ~ m1_subset_1(sk0_6527,k1_zfmisc_1(k2_zfmisc_1(sk0_6523,sk0_6526)))
| sk0_6524 = k1_xboole_0 ),
inference(resolution,[status(thm)],[f89299,f89316]) ).
fof(f107793,plain,
( ~ spl0_2398
| ~ spl0_2399
| spl0_2353 ),
inference(split_clause,[status(thm)],[f107792,f107786,f107789,f105301]) ).
fof(f107803,plain,
( $false
| spl0_2398 ),
inference(forward_subsumption_resolution,[status(thm)],[f107788,f89313]) ).
fof(f107804,plain,
spl0_2398,
inference(contradiction_clause,[status(thm)],[f107803]) ).
fof(f107805,plain,
( $false
| spl0_2399 ),
inference(forward_subsumption_resolution,[status(thm)],[f107791,f89315]) ).
fof(f107806,plain,
spl0_2399,
inference(contradiction_clause,[status(thm)],[f107805]) ).
fof(f108280,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_6523))
| k4_subset_1(sk0_6523,X0,k1_xboole_0) = k2_xboole_0(X0,sk0_6524)
| ~ spl0_2353 ),
inference(forward_demodulation,[status(thm)],[f105302,f105038]) ).
fof(f108281,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_6523))
| k4_subset_1(sk0_6523,X0,k1_xboole_0) = k2_xboole_0(X0,k1_xboole_0)
| ~ spl0_2353 ),
inference(forward_demodulation,[status(thm)],[f105302,f108280]) ).
fof(f113172,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_6523))
| k4_subset_1(sk0_6523,X0,k1_xboole_0) = X0
| ~ spl0_2353 ),
inference(backward_demodulation,[status(thm)],[f19311,f108281]) ).
fof(f113318,plain,
( k4_subset_1(sk0_6523,sk0_6525,k1_xboole_0) = sk0_6525
| ~ spl0_2353 ),
inference(resolution,[status(thm)],[f113172,f89314]) ).
fof(f114665,plain,
k4_subset_1(sk0_6523,sk0_6525,k1_xboole_0) = k4_subset_1(sk0_6523,k1_xboole_0,sk0_6525),
inference(resolution,[status(thm)],[f104974,f89314]) ).
fof(f114666,plain,
( sk0_6525 = k4_subset_1(sk0_6523,k1_xboole_0,sk0_6525)
| ~ spl0_2353 ),
inference(forward_demodulation,[status(thm)],[f113318,f114665]) ).
fof(f114758,plain,
( k8_relset_2(sk0_6523,sk0_6526,sk0_6525,sk0_6527) != k8_relset_2(sk0_6523,sk0_6526,sk0_6525,sk0_6527)
| ~ spl0_2353 ),
inference(backward_demodulation,[status(thm)],[f114666,f106419]) ).
fof(f114759,plain,
( $false
| ~ spl0_2353 ),
inference(trivial_equality_resolution,[status(esa)],[f114758]) ).
fof(f114760,plain,
~ spl0_2353,
inference(contradiction_clause,[status(thm)],[f114759]) ).
fof(f114761,plain,
$false,
inference(sat_refutation,[status(thm)],[f107793,f107804,f107806,f114760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU427+3 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n027.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 : Tue May 30 09:35:20 EDT 2023
% 0.11/0.33 % CPUTime :
% 1.52/1.71 % Drodi V3.5.1
% 26.23/4.94 % Refutation found
% 26.23/4.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.23/4.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.57/5.31 % Elapsed time: 4.947095 seconds
% 29.57/5.31 % CPU time: 27.675151 seconds
% 29.57/5.31 % Memory used: 5.070 GB
%------------------------------------------------------------------------------