TSTP Solution File: NUM576+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM576+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:29:46 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 11 unt; 0 def)
% Number of atoms : 109 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 105 ( 43 ~; 44 |; 6 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 14 (; 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,hypothesis,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f191,plain,
! [W0,W1] :
( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,szNzAzT0)
| ~ sdtlseqdt0(W0,W1)
| ~ sdtlseqdt0(W1,W0)
| W0 = W1 ),
inference(pre_NNF_transformation,[status(esa)],[f35]) ).
fof(f192,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f195,plain,
! [W0,W1] :
( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,szNzAzT0)
| sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f196,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f410,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f411,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f412,plain,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(pre_NNF_transformation,[status(esa)],[f86]) ).
fof(f413,plain,
xi != xj,
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f414,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f415,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f617,plain,
( spl0_13
<=> xi = xj ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( xi = xj
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f724,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xi)
| sdtlseqdt0(szszuzczcdt0(xi),X0) ),
inference(resolution,[status(thm)],[f196,f410]) ).
fof(f725,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xj)
| sdtlseqdt0(szszuzczcdt0(xj),X0) ),
inference(resolution,[status(thm)],[f196,f411]) ).
fof(f736,plain,
( spl0_36
<=> sdtlseqdt0(xj,xi) ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( sdtlseqdt0(xj,xi)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_37
<=> sdtlseqdt0(szszuzczcdt0(xi),xj) ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( sdtlseqdt0(xj,xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(resolution,[status(thm)],[f724,f411]) ).
fof(f743,plain,
( spl0_36
| spl0_37 ),
inference(split_clause,[status(thm)],[f742,f736,f739]) ).
fof(f753,plain,
( spl0_40
<=> sdtlseqdt0(xi,xj) ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( spl0_41
<=> sdtlseqdt0(szszuzczcdt0(xj),xi) ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( sdtlseqdt0(xi,xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(resolution,[status(thm)],[f725,f410]) ).
fof(f760,plain,
( spl0_40
| spl0_41 ),
inference(split_clause,[status(thm)],[f759,f753,f756]) ).
fof(f1101,plain,
( spl0_109
<=> aElementOf0(xj,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f1103,plain,
( ~ aElementOf0(xj,szNzAzT0)
| spl0_109 ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,plain,
( spl0_110
<=> aElementOf0(xi,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f1106,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl0_110 ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1117,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(xi,xj)
| xi = xj
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f737,f192]) ).
fof(f1118,plain,
( ~ spl0_110
| ~ spl0_109
| ~ spl0_40
| spl0_13
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f1117,f1104,f1101,f753,f617,f736]) ).
fof(f1119,plain,
( $false
| spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f411]) ).
fof(f1120,plain,
spl0_109,
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f757,f414]) ).
fof(f1122,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( $false
| spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f1106,f410]) ).
fof(f1124,plain,
spl0_110,
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f740,f415]) ).
fof(f1126,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f1125]) ).
fof(f1127,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f413]) ).
fof(f1128,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
$false,
inference(sat_refutation,[status(thm)],[f743,f760,f1118,f1120,f1122,f1124,f1126,f1128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM576+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:04:17 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.041826 seconds
% 0.13/0.38 % CPU time: 0.090583 seconds
% 0.13/0.38 % Memory used: 16.933 MB
%------------------------------------------------------------------------------