TSTP Solution File: NUM576+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:35:13 EDT 2024
% Result : Theorem 0.16s 0.35s
% Output : CNFRefutation 0.16s
% 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(f372,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f373,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f374,plain,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(pre_NNF_transformation,[status(esa)],[f86]) ).
fof(f375,plain,
xi != xj,
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f376,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f377,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f507,plain,
( spl0_11
<=> xi = xj ),
introduced(split_symbol_definition) ).
fof(f508,plain,
( xi = xj
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f587,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xi)
| sdtlseqdt0(szszuzczcdt0(xi),X0) ),
inference(resolution,[status(thm)],[f196,f372]) ).
fof(f588,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xj)
| sdtlseqdt0(szszuzczcdt0(xj),X0) ),
inference(resolution,[status(thm)],[f196,f373]) ).
fof(f600,plain,
( spl0_28
<=> sdtlseqdt0(xj,xi) ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( sdtlseqdt0(xj,xi)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( spl0_29
<=> sdtlseqdt0(szszuzczcdt0(xi),xj) ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sdtlseqdt0(xj,xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(resolution,[status(thm)],[f587,f373]) ).
fof(f607,plain,
( spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f606,f600,f603]) ).
fof(f617,plain,
( spl0_32
<=> sdtlseqdt0(xi,xj) ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( spl0_33
<=> sdtlseqdt0(szszuzczcdt0(xj),xi) ),
introduced(split_symbol_definition) ).
fof(f621,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( sdtlseqdt0(xi,xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(resolution,[status(thm)],[f588,f372]) ).
fof(f624,plain,
( spl0_32
| spl0_33 ),
inference(split_clause,[status(thm)],[f623,f617,f620]) ).
fof(f739,plain,
( spl0_56
<=> aElementOf0(xi,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl0_56 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f768,plain,
( $false
| spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f372]) ).
fof(f769,plain,
spl0_56,
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f770,plain,
( spl0_63
<=> aElementOf0(xj,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f772,plain,
( ~ aElementOf0(xj,szNzAzT0)
| spl0_63 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f799,plain,
( $false
| spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f772,f373]) ).
fof(f800,plain,
spl0_63,
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f1177,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(xi,xj)
| xi = xj
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f601,f192]) ).
fof(f1178,plain,
( ~ spl0_56
| ~ spl0_63
| ~ spl0_32
| spl0_11
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1177,f739,f770,f617,f507,f600]) ).
fof(f1179,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f377]) ).
fof(f1180,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f376]) ).
fof(f1182,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f1181]) ).
fof(f1183,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f375]) ).
fof(f1184,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f1183]) ).
fof(f1185,plain,
$false,
inference(sat_refutation,[status(thm)],[f607,f624,f769,f800,f1178,f1180,f1182,f1184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 21:11:12 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 0.16/0.35 % Refutation found
% 0.16/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.37 % Elapsed time: 0.048095 seconds
% 0.16/0.37 % CPU time: 0.205788 seconds
% 0.16/0.37 % Total memory used: 57.666 MB
% 0.16/0.37 % Net memory used: 57.484 MB
%------------------------------------------------------------------------------