%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG059+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 : n002.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 02:04:49 PM UTC 2026
% Result : Theorem 0.15s 0.57s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 69 ( 27 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 22 |; 15 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aScalar0(W2)
& aScalar0(W1)
& aScalar0(W0) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> ( sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1))
& sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(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(f55,hypothesis,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,conjecture,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f85,plain,
! [W0] :
( aScalar0(smndt0(W0))
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f86,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f96,plain,
! [W0,W1,W2] :
( ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) )
| ~ aScalar0(W2)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f106,plain,
! [W0,W1] :
( ( sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1))
& sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1)) )
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f107,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f190,plain,
aScalar0(xR),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f192,plain,
aScalar0(xP),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f194,plain,
aScalar0(xS),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f197,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f200,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f205,plain,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(paramodulation,[status(thm)],[f197,f107]) ).
fof(f206,plain,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f190]) ).
fof(f207,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(forward_subsumption_resolution,[status(thm)],[f206,f194]) ).
fof(f209,plain,
! [X0] :
( sdtasdt0(smndt0(xS),xR) = smndt0(xN)
| ~ aScalar0(X0)
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(paramodulation,[status(thm)],[f207,f100]) ).
fof(f213,plain,
! [X0] :
( sdtasdt0(smndt0(xS),xR) = smndt0(xN)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f190]) ).
fof(f234,plain,
! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f200]) ).
fof(f235,plain,
! [X0] :
( ~ aScalar0(xS)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f234,f86]) ).
fof(f236,plain,
! [X0] : ~ aScalar0(X0),
inference(forward_subsumption_resolution,[status(thm)],[f235,f194]) ).
fof(f238,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f192,f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG059+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n002.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 04:19:16 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 0.15/0.57 % Refutation found
% 0.15/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.60 % Elapsed time: 0.155450 seconds
% 0.15/0.60 % CPU time: 0.850789 seconds
% 0.15/0.60 % Total memory used: 116.590 MB
% 0.15/0.60 % Net memory used: 115.827 MB
%------------------------------------------------------------------------------