%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG072+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 : n005.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 0.23s 0.59s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 14 unt; 7 def)
% Number of atoms : 129 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 131 ( 54 ~; 55 |; 11 &)
% ( 7 <=>; 4 =>; 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 : 24 ( 24 !; 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(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(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(f128,plain,
! [W0,W1] :
( sdtlseqdt0(W1,W0)
| sdtlseqdt0(W0,W1)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f129,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f189,plain,
aScalar0(xR),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f191,plain,
aScalar0(xP),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f193,plain,
aScalar0(xS),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f201,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f203,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f205,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f235,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[f201,f129]) ).
fof(f236,definition,
( sQ7_spl
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ7_spl
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ8_spl
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( sQ8_spl
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ9_spl
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f235,f236,f239,f242]) ).
fof(f246,plain,
( sQ8_spl
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(resolution,[status(thm)],[f241,f87]) ).
fof(f247,definition,
( sQ10_spl
<=> aScalar0(xP) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( sQ10_spl
| ~ aScalar0(xP) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ8_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f246,f247,f239]) ).
fof(f251,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f191]) ).
fof(f252,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ7_spl
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(resolution,[status(thm)],[f238,f87]) ).
fof(f254,definition,
( sQ11_spl
<=> aScalar0(xR) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ11_spl
| ~ aScalar0(xR) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ12_spl
<=> aScalar0(xS) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ12_spl
| ~ aScalar0(xS) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( sQ7_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f253,f254,f257,f236]) ).
fof(f261,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f193]) ).
fof(f262,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f189]) ).
fof(f264,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f315,definition,
( sQ22_spl
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( sQ22_spl
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f1331,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,f205]) ).
fof(f1359,plain,
( ~ sQ22_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1331,f236,f239,f242,f315]) ).
fof(f1490,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f203]) ).
fof(f1491,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1492,plain,
$false,
inference(sat_refutation,[status(thm)],[f245,f250,f252,f260,f262,f264,f1359,f1491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG072+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % Computer : n005.cluster.edu
% 0.17/0.48 % Model : x86_64 x86_64
% 0.17/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.48 % Memory : 8046.5625MB
% 0.17/0.48 % OS : Linux 6.8.0-71-generic
% 0.17/0.48 % CPULimit : 300
% 0.17/0.48 % WCLimit : 300
% 0.17/0.48 % DateTime : Mon Sep 21 04:17:19 UTC 2026
% 0.17/0.49 % CPUTime :
% 0.17/0.53 % Drodi V4.1.1
% 0.23/0.59 % Refutation found
% 0.23/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.64 % Elapsed time: 0.132504 seconds
% 0.23/0.64 % CPU time: 0.401316 seconds
% 0.23/0.64 % Total memory used: 63.935 MB
% 0.23/0.64 % Net memory used: 63.652 MB
%------------------------------------------------------------------------------