%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:41:03 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 66 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 33 ~; 29 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f191,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f192,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f195,plain,
! [W0,W1] :
( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f196,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f372,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f373,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f374,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(pre_NNF_transformation,[status(thm)],[f86]) ).
fof(f375,plain,
xi != xj,
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f376,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f377,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f528,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[f196,f377]) ).
fof(f529,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[f196,f376]) ).
fof(f540,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f373]) ).
fof(f541,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f372]) ).
fof(f580,plain,
sdtlseqdt0(xj,xi),
inference(forward_subsumption_resolution,[status(thm)],[f540,f372]) ).
fof(f583,plain,
( xi = xj
| ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[f580,f192]) ).
fof(f587,plain,
( xi = xj
| ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f372]) ).
fof(f589,plain,
sdtlseqdt0(xi,xj),
inference(forward_subsumption_resolution,[status(thm)],[f541,f373]) ).
fof(f598,plain,
( xi = xj
| ~ sdtlseqdt0(xi,xj) ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f373]) ).
fof(f599,plain,
xi = xj,
inference(resolution,[status(thm)],[f598,f589]) ).
fof(f601,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f599,f375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:41:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.054321 seconds
% 0.13/0.42 % CPU time: 0.165356 seconds
% 0.13/0.42 % Total memory used: 55.809 MB
% 0.13/0.42 % Net memory used: 55.685 MB
%------------------------------------------------------------------------------