%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM594+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:41:07 PM UTC 2026
% Result : Theorem 0.17s 0.53s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 50 ( 17 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 53 ( 18 ~; 12 |; 20 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( ( aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
| ( sbrdtbr0(W1) = xk
& ( aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
| ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )
& aSet0(W1) )
=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,hypothesis,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szDzozmdt0(xd)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f534,plain,
( ! [W0] :
( ! [W1] :
( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)
| ( ~ aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
& ( sbrdtbr0(W1) != xk
| ( ~ aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ? [W2] :
( ~ aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aElementOf0(W2,W1) ) ) ) )
| ~ aSet0(W1) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(pre_NNF_transformation,[status(thm)],[f92]) ).
fof(f535,plain,
( ! [W0] :
( ! [W1] :
( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)
| ( ~ aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
& ( sbrdtbr0(W1) != xk
| ( ~ aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ~ aElementOf0(sK32_skl(W1,W0),sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aElementOf0(sK32_skl(W1,W0),W1) ) ) )
| ~ aSet0(W1) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl]),skolemize(W2,sK32_skl(W1,W0))],[f534]) ).
fof(f537,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f549,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& sdtlpdtrp0(xd,sK34_skl) = xx
& aElementOf0(sK34_skl,szDzozmdt0(xd)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34_skl]),skolemize(W0,sK34_skl)],[f94]) ).
fof(f550,plain,
aElementOf0(sK34_skl,szDzozmdt0(xd)),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f551,plain,
sdtlpdtrp0(xd,sK34_skl) = xx,
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f553,plain,
! [W0] :
( sdtlpdtrp0(xd,W0) != xx
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f554,plain,
! [X0] :
( sdtlpdtrp0(xd,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f553]) ).
fof(f933,plain,
aElementOf0(sK34_skl,szNzAzT0),
inference(forward_demodulation,[status(thm)],[f537,f550]) ).
fof(f934,plain,
~ aElementOf0(sK34_skl,szNzAzT0),
inference(resolution,[status(thm)],[f551,f554]) ).
fof(f937,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f934,f933]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM594+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n018.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 02:44:58 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 0.17/0.53 % Refutation found
% 0.17/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.57 % Elapsed time: 0.128865 seconds
% 0.17/0.57 % CPU time: 0.169517 seconds
% 0.17/0.57 % Total memory used: 27.375 MB
% 0.17/0.57 % Net memory used: 27.306 MB
%------------------------------------------------------------------------------