%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG103+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 : n006.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 1.24s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG103+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
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:19:57 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 1.24/0.73 % Refutation found
% 1.24/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.24/0.73 % SZS output start CNFRefutation for theBenchmark
% 1.24/0.73 fof(f14,axiom,(
% 1.24/0.73 (! [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)) ) ) )),
% 1.24/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.24/0.73 fof(f38,hypothesis,(
% 1.24/0.73 aElement0(xc) ),
% 1.24/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.24/0.73 fof(f40,hypothesis,(
% 1.24/0.73 ( aElement0(xu)& sdtasdt0(xc,xu) = xx ) ),
% 1.24/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.24/0.73 fof(f41,hypothesis,(
% 1.24/0.73 ( aElement0(xv)& sdtasdt0(xc,xv) = xy ) ),
% 1.24/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.24/0.73 fof(f42,conjecture,(
% 1.24/0.73 sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) ),
% 1.24/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.24/0.73 fof(f43,negated_conjecture,(
% 1.24/0.73 ~(sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) )),
% 1.24/0.73 inference(negated_conjecture,[status(cth)],[f42])).
% 1.24/0.73 fof(f72,plain,(
% 1.24/0.73 ![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))))),
% 1.24/0.73 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 1.24/0.73 fof(f73,plain,(
% 1.24/0.73 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 1.24/0.73 inference(cnf_transformation,[status(thm)],[f72])).
% 1.24/0.73 fof(f194,plain,(
% 1.24/0.73 aElement0(xc)),
% 1.24/0.73 inference(cnf_transformation,[status(thm)],[f38])).
% 1.24/0.73 fof(f203,plain,(
% 1.24/0.73 aElement0(xu)),
% 1.24/0.73 inference(cnf_transformation,[status(thm)],[f40])).
% 1.24/0.73 fof(f204,plain,(
% 1.24/0.73 sdtasdt0(xc,xu)=xx),
% 1.24/0.73 inference(cnf_transformation,[status(thm)],[f40])).
% 1.24/0.73 fof(f205,plain,(
% 1.24/0.73 aElement0(xv)),
% 1.24/0.73 inference(cnf_transformation,[status(thm)],[f41])).
% 1.24/0.73 fof(f206,plain,(
% 1.24/0.73 sdtasdt0(xc,xv)=xy),
% 1.24/0.73 inference(cnf_transformation,[status(thm)],[f41])).
% 1.24/0.73 fof(f207,plain,(
% 1.24/0.73 ~sdtpldt0(xx,xy)=sdtasdt0(xc,sdtpldt0(xu,xv))),
% 1.24/0.73 inference(cnf_transformation,[status(thm)],[f43])).
% 1.24/0.73 fof(f264,plain,(
% 1.24/0.73 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sdtasdt0(X0,sdtpldt0(xu,X1))=sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,X1)))),
% 1.24/0.73 inference(resolution,[status(thm)],[f203,f73])).
% 1.24/0.73 fof(f648,plain,(
% 1.24/0.73 ![X0]: (~aElement0(X0)|sdtasdt0(X0,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xv)))),
% 1.24/0.73 inference(resolution,[status(thm)],[f264,f205])).
% 1.24/0.73 fof(f1802,plain,(
% 1.24/0.73 sdtasdt0(xc,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xc,xu),sdtasdt0(xc,xv))),
% 1.24/0.73 inference(resolution,[status(thm)],[f648,f194])).
% 1.24/0.73 fof(f1808,plain,(
% 1.24/0.73 sdtasdt0(xc,sdtpldt0(xu,xv))=sdtpldt0(xx,sdtasdt0(xc,xv))),
% 1.24/0.73 inference(forward_demodulation,[status(thm)],[f204,f1802])).
% 1.24/0.73 fof(f1809,plain,(
% 1.24/0.73 sdtasdt0(xc,sdtpldt0(xu,xv))=sdtpldt0(xx,xy)),
% 1.24/0.73 inference(forward_demodulation,[status(thm)],[f206,f1808])).
% 1.24/0.73 fof(f1810,plain,(
% 1.24/0.73 $false),
% 1.24/0.73 inference(forward_subsumption_resolution,[status(thm)],[f1809,f207])).
% 1.24/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 1.40/0.75 % Elapsed time: 0.366203 seconds
% 1.40/0.75 % CPU time: 2.615153 seconds
% 1.40/0.75 % Total memory used: 149.698 MB
% 1.40/0.75 % Net memory used: 146.357 MB
%------------------------------------------------------------------------------