%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG083+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 : n001.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 02:04:54 PM UTC 2026
% Result : Theorem 1.23s 0.88s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 22 unt; 0 def)
% Number of atoms : 126 ( 57 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 47 ~; 42 |; 16 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0] :
( aElement0(W0)
=> aElement0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1,W2] :
( ( aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0] :
( aElement0(W0)
=> ( W0 = sdtpldt0(sz00,W0)
& sdtpldt0(W0,sz00) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [W0] :
( aElement0(W0)
=> ( sz00 = sdtpldt0(smndt0(W0),W0)
& sdtpldt0(W0,smndt0(W0)) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [W0] :
( aElement0(W0)
=> ( W0 = sdtasdt0(sz10,W0)
& sdtasdt0(W0,sz10) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> ( sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))
& sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
( sz00 = sdtasdt0(sz00,xx)
& sdtasdt0(xx,sz00) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ( sz00 = sdtasdt0(sz00,xx)
& sdtasdt0(xx,sz00) = sz00 ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f22,plain,
aElement0(sz00),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
aElement0(sz10),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [W0] :
( aElement0(smndt0(W0))
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f28,plain,
! [W0,W1] :
( aElement0(sdtasdt0(W0,W1))
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f32,plain,
! [W0,W1,W2] :
( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [W0] :
( ( W0 = sdtpldt0(sz00,W0)
& sdtpldt0(W0,sz00) = W0 )
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] :
( X0 = sdtpldt0(sz00,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [W0] :
( ( sz00 = sdtpldt0(smndt0(W0),W0)
& sdtpldt0(W0,smndt0(W0)) = sz00 )
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f41,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f44,plain,
! [W0] :
( ( W0 = sdtasdt0(sz10,W0)
& sdtasdt0(W0,sz10) = W0 )
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f45,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f47,plain,
! [W0,W1,W2] :
( ( sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))
& sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f48,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f53,plain,
aElement0(xx),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f54,plain,
( sz00 != sdtasdt0(sz00,xx)
| sdtasdt0(xx,sz00) != sz00 ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f55,plain,
( sz00 != sdtasdt0(sz00,xx)
| sdtasdt0(xx,sz00) != sz00 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f57,plain,
aElement0(smndt0(xx)),
inference(resolution,[status(thm)],[f25,f53]) ).
fof(f68,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[f35,f23]) ).
fof(f74,plain,
! [X0] :
( aElement0(sdtasdt0(xx,X0))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f29,f53]) ).
fof(f89,plain,
sdtasdt0(xx,sz10) = xx,
inference(resolution,[status(thm)],[f45,f53]) ).
fof(f98,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xx),X1) = sdtpldt0(X0,sdtpldt0(xx,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f33,f53]) ).
fof(f111,plain,
aElement0(sdtasdt0(xx,sz00)),
inference(resolution,[status(thm)],[f74,f22]) ).
fof(f139,plain,
sdtasdt0(xx,sz00) = sdtpldt0(sz00,sdtasdt0(xx,sz00)),
inference(resolution,[status(thm)],[f111,f36]) ).
fof(f149,plain,
sz00 = sdtpldt0(smndt0(xx),xx),
inference(resolution,[status(thm)],[f39,f53]) ).
fof(f180,plain,
! [X0] :
( sdtasdt0(X0,xx) = sdtasdt0(xx,X0)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f41,f53]) ).
fof(f264,plain,
sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
inference(resolution,[status(thm)],[f180,f22]) ).
fof(f279,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(sz10,X1)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f48,f23]) ).
fof(f329,plain,
( sz00 != sdtasdt0(xx,sz00)
| sdtasdt0(xx,sz00) != sz00 ),
inference(forward_demodulation,[status(thm)],[f264,f55]) ).
fof(f330,plain,
sdtasdt0(xx,sz00) != sz00,
inference(duplicate_literals_removal,[status(thm)],[f329]) ).
fof(f394,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sdtasdt0(xx,sz00)) = sdtpldt0(X0,sdtpldt0(xx,sdtasdt0(xx,sz00)))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f98,f111]) ).
fof(f471,plain,
! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f279,f22]) ).
fof(f472,plain,
! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f68,f471]) ).
fof(f492,plain,
sdtasdt0(xx,sz10) = sdtpldt0(sdtasdt0(xx,sz10),sdtasdt0(xx,sz00)),
inference(resolution,[status(thm)],[f472,f53]) ).
fof(f494,plain,
xx = sdtpldt0(sdtasdt0(xx,sz10),sdtasdt0(xx,sz00)),
inference(forward_demodulation,[status(thm)],[f89,f492]) ).
fof(f495,plain,
xx = sdtpldt0(xx,sdtasdt0(xx,sz00)),
inference(forward_demodulation,[status(thm)],[f89,f494]) ).
fof(f1144,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sdtasdt0(xx,sz00)) = sdtpldt0(X0,xx)
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f495,f394]) ).
fof(f1156,plain,
sdtpldt0(sdtpldt0(smndt0(xx),xx),sdtasdt0(xx,sz00)) = sdtpldt0(smndt0(xx),xx),
inference(resolution,[status(thm)],[f1144,f57]) ).
fof(f1160,plain,
sdtpldt0(sz00,sdtasdt0(xx,sz00)) = sdtpldt0(smndt0(xx),xx),
inference(forward_demodulation,[status(thm)],[f149,f1156]) ).
fof(f1161,plain,
sdtasdt0(xx,sz00) = sdtpldt0(smndt0(xx),xx),
inference(forward_demodulation,[status(thm)],[f139,f1160]) ).
fof(f1162,plain,
sdtasdt0(xx,sz00) = sz00,
inference(forward_demodulation,[status(thm)],[f149,f1161]) ).
fof(f1163,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1162,f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG083+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n001.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 04:23:44 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.20/0.43 % Drodi V4.1.1
% 1.23/0.88 % Refutation found
% 1.23/0.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.23/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.23/0.91 % Elapsed time: 0.481722 seconds
% 1.23/0.91 % CPU time: 3.356967 seconds
% 1.23/0.91 % Total memory used: 76.396 MB
% 1.23/0.91 % Net memory used: 72.119 MB
%------------------------------------------------------------------------------