%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG072+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:04:51 PM UTC 2026
% Result : Theorem 0.15s 5.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 15 unt; 7 def)
% Number of atoms : 116 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 111 ( 45 ~; 46 |; 10 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [W0,W1,W2,W3] :
( ( aScalar0(W3)
& aScalar0(W2)
& aScalar0(W1)
& aScalar0(W0) )
=> ( ( sdtlseqdt0(W2,W3)
& sdtlseqdt0(sz0z00,W2)
& sdtlseqdt0(W0,W1) )
=> sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,hypothesis,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f86,plain,
! [W0,W1] :
( aScalar0(sdtpldt0(W0,W1))
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f87,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f126,plain,
! [W0,W1,W2,W3] :
( sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3))
| ~ sdtlseqdt0(W2,W3)
| ~ sdtlseqdt0(sz0z00,W2)
| ~ sdtlseqdt0(W0,W1)
| ~ aScalar0(W3)
| ~ aScalar0(W2)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f195,plain,
aScalar0(xR),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f197,plain,
aScalar0(xP),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f199,plain,
aScalar0(xS),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f208,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f209,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f211,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f701,definition,
( sQ33_spl
<=> aScalar0(xR) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( sQ33_spl
| ~ aScalar0(xR) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f714,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f195]) ).
fof(f715,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f721,definition,
( sQ37_spl
<=> aScalar0(xP) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( sQ37_spl
| ~ aScalar0(xP) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f729,plain,
( sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f197]) ).
fof(f730,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f816,definition,
( sQ44_spl
<=> aScalar0(xS) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( sQ44_spl
| ~ aScalar0(xS) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f824,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f818,f199]) ).
fof(f825,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f992,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[f127,f211]) ).
fof(f1019,definition,
( sQ62_spl
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( sQ62_spl
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,definition,
( sQ63_spl
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( sQ63_spl
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,definition,
( sQ64_spl
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( sQ64_spl
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,definition,
( sQ65_spl
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( sQ65_spl
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( ~ sQ65_spl
| ~ sQ64_spl
| ~ sQ63_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f992,f1019,f1022,f1025,f1028]) ).
fof(f1197,plain,
( sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f209]) ).
fof(f1198,plain,
sQ65_spl,
inference(contradiction_clause,[status(thm)],[f1197]) ).
fof(f1199,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f208]) ).
fof(f1200,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1199]) ).
fof(f1531,plain,
( sQ62_spl
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(resolution,[status(thm)],[f87,f1021]) ).
fof(f1588,plain,
( sQ62_spl
| ~ sQ44_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1531,f701,f816,f1019]) ).
fof(f1659,plain,
( sQ63_spl
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(resolution,[status(thm)],[f1024,f87]) ).
fof(f1660,plain,
( sQ63_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1659,f721,f1022]) ).
fof(f1661,plain,
$false,
inference(sat_refutation,[status(thm)],[f715,f730,f825,f1031,f1198,f1200,f1588,f1660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG072+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n017.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 04:12:48 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.15/5.43 % Refutation found
% 0.15/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.46 % Elapsed time: 0.069407 seconds
% 0.15/5.46 % CPU time: 0.255517 seconds
% 0.15/5.46 % Total memory used: 108.651 MB
% 0.15/5.46 % Net memory used: 108.415 MB
%------------------------------------------------------------------------------