%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG083+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:05:18 PM UTC 2026
% Result : Theorem 27.15s 9.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG083+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.45 % Computer : n008.cluster.edu
% 0.19/5.45 % Model : x86_64 x86_64
% 0.19/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45 % Memory : 8046.5625MB
% 0.19/5.45 % OS : Linux 6.8.0-71-generic
% 0.19/5.45 % CPULimit : 300
% 0.19/5.45 % WCLimit : 300
% 0.19/5.45 % DateTime : Mon Sep 21 04:19:00 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.47 % Drodi V4.1.1
% 27.15/9.09 % Refutation found
% 27.15/9.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 27.15/9.09 % SZS output start CNFRefutation for theBenchmark
% 27.15/9.09 fof(f2,axiom,(
% 27.15/9.09 aElement0(sz00) ),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f3,axiom,(
% 27.15/9.09 aElement0(sz10) ),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f4,axiom,(
% 27.15/9.09 (! [W0] :( aElement0(W0)=> aElement0(smndt0(W0)) ) )),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f10,axiom,(
% 27.15/9.09 (! [W0] :( aElement0(W0)=> ( sdtpldt0(W0,smndt0(W0)) = sz00& sz00 = sdtpldt0(smndt0(W0),W0) ) ) )),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f11,axiom,(
% 27.15/9.09 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f13,axiom,(
% 27.15/9.09 (! [W0] :( aElement0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f14,axiom,(
% 27.15/9.09 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) )),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f15,axiom,(
% 27.15/9.09 (! [W0] :( aElement0(W0)=> ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) )),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f16,hypothesis,(
% 27.15/9.09 aElement0(xx) ),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f17,conjecture,(
% 27.15/9.09 ( sdtasdt0(xx,sz00) = sz00& sz00 = sdtasdt0(sz00,xx) ) ),
% 27.15/9.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.15/9.09 fof(f18,negated_conjecture,(
% 27.15/9.09 ~(( sdtasdt0(xx,sz00) = sz00& sz00 = sdtasdt0(sz00,xx) ) )),
% 27.15/9.09 inference(negated_conjecture,[status(cth)],[f17])).
% 27.15/9.09 fof(f22,plain,(
% 27.15/9.09 aElement0(sz00)),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f2])).
% 27.15/9.09 fof(f23,plain,(
% 27.15/9.09 aElement0(sz10)),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f3])).
% 27.15/9.09 fof(f24,plain,(
% 27.15/9.09 ![W0]: (~aElement0(W0)|aElement0(smndt0(W0)))),
% 27.15/9.09 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 27.15/9.09 fof(f25,plain,(
% 27.15/9.09 ![X0]: (~aElement0(X0)|aElement0(smndt0(X0)))),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f24])).
% 27.15/9.09 fof(f37,plain,(
% 27.15/9.09 ![W0]: (~aElement0(W0)|(sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)))),
% 27.15/9.09 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 27.15/9.09 fof(f39,plain,(
% 27.15/9.09 ![X0]: (~aElement0(X0)|sz00=sdtpldt0(smndt0(X0),X0))),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f37])).
% 27.15/9.09 fof(f40,plain,(
% 27.15/9.09 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 27.15/9.09 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 27.15/9.09 fof(f41,plain,(
% 27.15/9.09 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f40])).
% 27.15/9.09 fof(f44,plain,(
% 27.15/9.09 ![W0]: (~aElement0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 27.15/9.09 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 27.15/9.09 fof(f45,plain,(
% 27.15/9.09 ![X0]: (~aElement0(X0)|sdtasdt0(X0,sz10)=X0)),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f44])).
% 27.15/9.09 fof(f47,plain,(
% 27.15/9.09 ![W0,W1,W2]: (((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))))),
% 27.15/9.09 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 27.15/9.09 fof(f48,plain,(
% 27.15/9.09 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f47])).
% 27.15/9.09 fof(f50,plain,(
% 27.15/9.09 ![W0]: (~aElement0(W0)|(sdtasdt0(smndt0(sz10),W0)=smndt0(W0)&smndt0(W0)=sdtasdt0(W0,smndt0(sz10))))),
% 27.15/9.09 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 27.15/9.09 fof(f52,plain,(
% 27.15/9.09 ![X0]: (~aElement0(X0)|smndt0(X0)=sdtasdt0(X0,smndt0(sz10)))),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f50])).
% 27.15/9.09 fof(f53,plain,(
% 27.15/9.09 aElement0(xx)),
% 27.15/9.09 inference(cnf_transformation,[status(thm)],[f16])).
% 27.15/9.09 fof(f54,plain,(
% 27.15/9.09 (~sdtasdt0(xx,sz00)=sz00|~sz00=sdtasdt0(sz00,xx))),
% 1.78/9.12 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 1.78/9.12 fof(f55,plain,(
% 1.78/9.12 ~sdtasdt0(xx,sz00)=sz00|~sz00=sdtasdt0(sz00,xx)),
% 1.78/9.12 inference(cnf_transformation,[status(thm)],[f54])).
% 1.78/9.12 fof(f62,plain,(
% 1.78/9.12 ![X0]: (~aElement0(X0)|sdtasdt0(xx,X0)=sdtasdt0(X0,xx))),
% 1.78/9.12 inference(resolution,[status(thm)],[f41,f53])).
% 1.78/9.12 fof(f68,plain,(
% 1.78/9.12 aElement0(smndt0(sz10))),
% 1.78/9.12 inference(resolution,[status(thm)],[f25,f23])).
% 1.78/9.12 fof(f163,plain,(
% 1.78/9.12 sdtasdt0(xx,sz00)=sdtasdt0(sz00,xx)),
% 1.78/9.12 inference(resolution,[status(thm)],[f62,f22])).
% 1.78/9.12 fof(f263,plain,(
% 1.78/9.12 sz00=sdtpldt0(smndt0(sz10),sz10)),
% 1.78/9.12 inference(resolution,[status(thm)],[f39,f23])).
% 1.78/9.12 fof(f264,plain,(
% 1.78/9.12 sz00=sdtpldt0(smndt0(xx),xx)),
% 1.78/9.12 inference(resolution,[status(thm)],[f39,f53])).
% 1.78/9.12 fof(f279,plain,(
% 1.78/9.12 sdtasdt0(xx,sz10)=xx),
% 1.78/9.12 inference(resolution,[status(thm)],[f45,f53])).
% 1.78/9.12 fof(f462,plain,(
% 1.78/9.12 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sdtasdt0(xx,sdtpldt0(X0,X1))=sdtpldt0(sdtasdt0(xx,X0),sdtasdt0(xx,X1)))),
% 1.78/9.12 inference(resolution,[status(thm)],[f48,f53])).
% 1.78/9.12 fof(f865,plain,(
% 1.78/9.12 smndt0(xx)=sdtasdt0(xx,smndt0(sz10))),
% 1.78/9.13 inference(resolution,[status(thm)],[f52,f53])).
% 1.78/9.13 fof(f1262,plain,(
% 1.78/9.13 ![X0]: (~aElement0(X0)|sdtasdt0(xx,sdtpldt0(smndt0(sz10),X0))=sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sdtasdt0(xx,X0)))),
% 1.78/9.13 inference(resolution,[status(thm)],[f462,f68])).
% 1.78/9.13 fof(f2688,plain,(
% 1.78/9.13 ~sdtasdt0(sz00,xx)=sz00|~sz00=sdtasdt0(sz00,xx)),
% 1.78/9.13 inference(backward_demodulation,[status(thm)],[f163,f55])).
% 1.78/9.13 fof(f2689,plain,(
% 1.78/9.13 ~sdtasdt0(sz00,xx)=sz00),
% 1.78/9.13 inference(duplicate_literals_removal,[status(thm)],[f2688])).
% 1.78/9.13 fof(f14586,plain,(
% 1.78/9.13 ![X0]: (~aElement0(X0)|sdtasdt0(xx,sdtpldt0(smndt0(sz10),X0))=sdtpldt0(smndt0(xx),sdtasdt0(xx,X0)))),
% 1.78/9.13 inference(forward_demodulation,[status(thm)],[f865,f1262])).
% 1.78/9.13 fof(f14700,plain,(
% 1.78/9.13 sdtasdt0(xx,sdtpldt0(smndt0(sz10),sz10))=sdtpldt0(smndt0(xx),sdtasdt0(xx,sz10))),
% 1.78/9.13 inference(resolution,[status(thm)],[f14586,f23])).
% 1.78/9.13 fof(f14706,plain,(
% 1.78/9.13 sdtasdt0(xx,sz00)=sdtpldt0(smndt0(xx),sdtasdt0(xx,sz10))),
% 1.78/9.13 inference(forward_demodulation,[status(thm)],[f263,f14700])).
% 1.78/9.13 fof(f14707,plain,(
% 1.78/9.13 sdtasdt0(sz00,xx)=sdtpldt0(smndt0(xx),sdtasdt0(xx,sz10))),
% 1.78/9.13 inference(forward_demodulation,[status(thm)],[f163,f14706])).
% 1.78/9.13 fof(f14708,plain,(
% 1.78/9.13 sdtasdt0(sz00,xx)=sdtpldt0(smndt0(xx),xx)),
% 1.78/9.13 inference(forward_demodulation,[status(thm)],[f279,f14707])).
% 1.78/9.13 fof(f14709,plain,(
% 1.78/9.13 sdtasdt0(sz00,xx)=sz00),
% 1.78/9.13 inference(forward_demodulation,[status(thm)],[f264,f14708])).
% 1.78/9.13 fof(f14710,plain,(
% 1.78/9.13 $false),
% 1.78/9.13 inference(forward_subsumption_resolution,[status(thm)],[f14709,f2689])).
% 1.78/9.13 % SZS output end CNFRefutation for theBenchmark.p
% 1.78/9.14 % Elapsed time: 3.659755 seconds
% 1.78/9.14 % CPU time: 28.522299 seconds
% 1.78/9.14 % Total memory used: 263.805 MB
% 1.78/9.14 % Net memory used: 243.409 MB
%------------------------------------------------------------------------------