%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG104+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:05:21 PM UTC 2026
% Result : Theorem 0.14s 0.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG104+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 04:22:46 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.41 % Drodi V4.1.1
% 0.14/0.84 % Refutation found
% 0.14/0.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.84 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.84 fof(f6,axiom,(
% 0.14/0.84 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> aElement0(sdtasdt0(W0,W1)) ) )),
% 0.14/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.84 fof(f11,axiom,(
% 0.14/0.84 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 0.14/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.84 fof(f12,axiom,(
% 0.14/0.84 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2) )=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) )),
% 0.14/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.84 fof(f38,hypothesis,(
% 0.14/0.84 aElement0(xc) ),
% 0.14/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.84 fof(f39,hypothesis,(
% 0.14/0.84 ( (? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xx ))& aElementOf0(xx,slsdtgt0(xc))& (? [W0] :( aElement0(W0)& sdtasdt0(xc,W0) = xy ))& aElementOf0(xy,slsdtgt0(xc))& aElement0(xz) ) ),
% 0.14/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.84 fof(f40,hypothesis,(
% 0.14/0.84 ( aElement0(xu)& sdtasdt0(xc,xu) = xx ) ),
% 0.14/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.84 fof(f43,conjecture,(
% 0.14/0.84 sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)) ),
% 0.14/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.84 fof(f44,negated_conjecture,(
% 0.14/0.84 ~(sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)) )),
% 0.14/0.84 inference(negated_conjecture,[status(cth)],[f43])).
% 0.14/0.84 fof(f54,plain,(
% 0.14/0.84 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|aElement0(sdtasdt0(W0,W1)))),
% 0.14/0.84 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.14/0.84 fof(f55,plain,(
% 0.14/0.84 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|aElement0(sdtasdt0(X0,X1)))),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f54])).
% 0.14/0.84 fof(f66,plain,(
% 0.14/0.84 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 0.14/0.84 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.14/0.84 fof(f67,plain,(
% 0.14/0.84 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f66])).
% 0.14/0.84 fof(f68,plain,(
% 0.14/0.84 ![W0,W1,W2]: (((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)))),
% 0.14/0.84 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.14/0.84 fof(f69,plain,(
% 0.14/0.84 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sdtasdt0(sdtasdt0(X0,X1),X2)=sdtasdt0(X0,sdtasdt0(X1,X2)))),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.84 fof(f195,plain,(
% 0.14/0.84 aElement0(xc)),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.84 fof(f196,plain,(
% 0.14/0.84 ((((aElement0(sK20_skl)&sdtasdt0(xc,sK20_skl)=xx)&aElementOf0(xx,slsdtgt0(xc)))&(aElement0(sK21_skl)&sdtasdt0(xc,sK21_skl)=xy))&aElementOf0(xy,slsdtgt0(xc)))&aElement0(xz)),
% 0.14/0.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(W0,sK20_skl),skolemize(W0,sK21_skl)],[f39])).
% 0.14/0.84 fof(f203,plain,(
% 0.14/0.84 aElement0(xz)),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f196])).
% 0.14/0.84 fof(f204,plain,(
% 0.14/0.84 aElement0(xu)),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.84 fof(f205,plain,(
% 0.14/0.84 sdtasdt0(xc,xu)=xx),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.84 fof(f209,plain,(
% 0.14/0.84 ~sdtasdt0(xz,xx)=sdtasdt0(xc,sdtasdt0(xu,xz))),
% 0.14/0.84 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.84 fof(f228,plain,(
% 0.14/0.84 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sdtasdt0(sdtasdt0(X0,X1),xc)=sdtasdt0(X0,sdtasdt0(X1,xc)))),
% 0.14/0.84 inference(resolution,[status(thm)],[f195,f69])).
% 0.14/0.84 fof(f231,plain,(
% 0.14/0.84 ![X0]: (~aElement0(X0)|sdtasdt0(X0,xc)=sdtasdt0(xc,X0))),
% 0.14/0.84 inference(resolution,[status(thm)],[f195,f67])).
% 0.14/0.84 fof(f236,plain,(
% 0.14/0.84 ![X0]: (~aElement0(X0)|sdtasdt0(X0,xz)=sdtasdt0(xz,X0))),
% 0.14/0.84 inference(resolution,[status(thm)],[f203,f67])).
% 0.14/0.84 fof(f237,plain,(
% 0.14/0.84 ![X0]: (~aElement0(X0)|aElement0(sdtasdt0(X0,xz)))),
% 0.14/0.84 inference(resolution,[status(thm)],[f55,f203])).
% 0.14/0.84 fof(f248,plain,(
% 0.14/0.84 ![X0]: (~aElement0(X0)|sdtasdt0(sdtasdt0(X0,xu),xc)=sdtasdt0(X0,sdtasdt0(xu,xc)))),
% 0.14/0.84 inference(resolution,[status(thm)],[f228,f204])).
% 0.14/0.84 fof(f255,plain,(
% 0.14/0.84 sdtasdt0(xu,xc)=sdtasdt0(xc,xu)),
% 0.14/0.84 inference(resolution,[status(thm)],[f231,f204])).
% 0.14/0.84 fof(f258,plain,(
% 0.14/0.84 sdtasdt0(xu,xc)=xx),
% 0.14/0.84 inference(forward_demodulation,[status(thm)],[f205,f255])).
% 0.14/0.85 fof(f304,plain,(
% 0.14/0.85 sdtasdt0(xu,xz)=sdtasdt0(xz,xu)),
% 0.14/0.85 inference(resolution,[status(thm)],[f236,f204])).
% 0.14/0.85 fof(f380,plain,(
% 0.14/0.85 sdtasdt0(sdtasdt0(xz,xu),xc)=sdtasdt0(xz,sdtasdt0(xu,xc))),
% 0.14/0.85 inference(resolution,[status(thm)],[f248,f203])).
% 0.14/0.85 fof(f394,plain,(
% 0.14/0.85 aElement0(sdtasdt0(xu,xz))),
% 0.14/0.85 inference(resolution,[status(thm)],[f237,f204])).
% 0.14/0.85 fof(f900,plain,(
% 0.14/0.85 sdtasdt0(sdtasdt0(xu,xz),xc)=sdtasdt0(xz,sdtasdt0(xu,xc))),
% 0.14/0.85 inference(forward_demodulation,[status(thm)],[f304,f380])).
% 0.14/0.85 fof(f901,plain,(
% 0.14/0.85 sdtasdt0(sdtasdt0(xu,xz),xc)=sdtasdt0(xz,xx)),
% 0.14/0.85 inference(forward_demodulation,[status(thm)],[f258,f900])).
% 0.14/0.85 fof(f953,plain,(
% 0.14/0.85 sdtasdt0(sdtasdt0(xu,xz),xc)=sdtasdt0(xc,sdtasdt0(xu,xz))),
% 0.14/0.85 inference(resolution,[status(thm)],[f394,f231])).
% 0.14/0.85 fof(f983,plain,(
% 0.14/0.85 sdtasdt0(xz,xx)=sdtasdt0(xc,sdtasdt0(xu,xz))),
% 0.14/0.85 inference(forward_demodulation,[status(thm)],[f901,f953])).
% 0.14/0.85 fof(f984,plain,(
% 0.14/0.85 $false),
% 0.14/0.85 inference(forward_subsumption_resolution,[status(thm)],[f983,f209])).
% 0.14/0.85 % SZS output end CNFRefutation for theBenchmark.p
% 0.66/0.88 % Elapsed time: 0.490290 seconds
% 0.66/0.88 % CPU time: 3.145030 seconds
% 0.66/0.88 % Total memory used: 140.274 MB
% 0.66/0.88 % Net memory used: 136.809 MB
%------------------------------------------------------------------------------