%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG070+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 : n011.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 0.13s 15.66s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 13 unt; 6 def)
% Number of atoms : 89 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 31 ~; 32 |; 5 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> ( sdtlseqdt0(W1,W0)
| sdtlseqdt0(W0,W1) ) ),
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(f60,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f84,plain,
! [W0,W1] :
( aScalar0(sdtpldt0(W0,W1))
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f85,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f126,plain,
! [W0,W1] :
( sdtlseqdt0(W1,W0)
| sdtlseqdt0(W0,W1)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f127,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f193,plain,
aScalar0(xR),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f195,plain,
aScalar0(xP),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f197,plain,
aScalar0(xS),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f205,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f206,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f225,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(resolution,[status(thm)],[f127,f206]) ).
fof(f226,definition,
( sQ4_spl
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( sQ4_spl
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ5_spl
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ5_spl
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ6_spl
<=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ6_spl
| sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f225,f226,f229,f232]) ).
fof(f241,plain,
( sQ4_spl
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(resolution,[status(thm)],[f228,f85]) ).
fof(f242,definition,
( sQ8_spl
<=> aScalar0(xP) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( sQ8_spl
| ~ aScalar0(xP) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f241,f242,f226]) ).
fof(f246,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f244,f195]) ).
fof(f247,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ5_spl
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(resolution,[status(thm)],[f231,f85]) ).
fof(f249,definition,
( sQ9_spl
<=> aScalar0(xR) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( sQ9_spl
| ~ aScalar0(xR) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ10_spl
<=> aScalar0(xS) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ10_spl
| ~ aScalar0(xS) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ5_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f248,f249,f252,f229]) ).
fof(f256,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f193]) ).
fof(f257,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f197]) ).
fof(f259,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f233,f205]) ).
fof(f261,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f262,plain,
$false,
inference(sat_refutation,[status(thm)],[f235,f245,f247,f255,f257,f259,f261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG070+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.13/15.63 % CPULimit : 300
% 0.13/15.63 % WCLimit : 300
% 0.13/15.63 % DateTime : Mon Sep 21 04:18:25 UTC 2026
% 0.13/15.64 % CPUTime :
% 0.13/15.66 % Drodi V4.1.1
% 0.13/15.66 % Refutation found
% 0.13/15.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/15.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.54/15.72 % Elapsed time: 0.072948 seconds
% 0.54/15.72 % CPU time: 0.107446 seconds
% 0.54/15.72 % Total memory used: 3.299 MB
% 0.54/15.72 % Net memory used: 3.298 MB
%------------------------------------------------------------------------------