%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG045+1 : 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 : n005.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 02:05:13 PM UTC 2026
% Result : Theorem 3.92s 0.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG045+1 : 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 : n005.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 04:15:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 3.92/0.99 % Refutation found
% 3.92/0.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.92/0.99 % SZS output start CNFRefutation for theBenchmark
% 3.92/0.99 fof(f15,axiom,(
% 3.92/0.99 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) )),
% 3.92/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/0.99 fof(f16,hypothesis,(
% 3.92/0.99 ( aScalar0(xx)& aScalar0(xy)& aScalar0(xu)& aScalar0(xv) ) ),
% 3.92/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/0.99 fof(f17,hypothesis,(
% 3.92/0.99 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) ),
% 3.92/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/0.99 fof(f18,conjecture,(
% 3.92/0.99 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) ),
% 3.92/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.92/0.99 fof(f19,negated_conjecture,(
% 3.92/0.99 ~(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) )),
% 3.92/0.99 inference(negated_conjecture,[status(cth)],[f18])).
% 3.92/0.99 fof(f61,plain,(
% 3.92/0.99 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))))),
% 3.92/0.99 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 3.92/0.99 fof(f62,plain,(
% 3.92/0.99 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 3.92/0.99 inference(cnf_transformation,[status(thm)],[f61])).
% 3.92/0.99 fof(f64,plain,(
% 3.92/0.99 aScalar0(xx)),
% 3.92/0.99 inference(cnf_transformation,[status(thm)],[f16])).
% 3.92/0.99 fof(f65,plain,(
% 3.92/0.99 aScalar0(xy)),
% 3.92/0.99 inference(cnf_transformation,[status(thm)],[f16])).
% 3.92/0.99 fof(f66,plain,(
% 3.92/0.99 aScalar0(xu)),
% 3.92/0.99 inference(cnf_transformation,[status(thm)],[f16])).
% 3.92/0.99 fof(f67,plain,(
% 3.92/0.99 aScalar0(xv)),
% 3.92/0.99 inference(cnf_transformation,[status(thm)],[f16])).
% 3.92/0.99 fof(f68,plain,(
% 3.92/0.99 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))),
% 3.92/0.99 inference(cnf_transformation,[status(thm)],[f17])).
% 3.92/0.99 fof(f69,plain,(
% 3.92/0.99 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))),
% 3.92/0.99 inference(cnf_transformation,[status(thm)],[f19])).
% 3.92/0.99 fof(f128,plain,(
% 3.92/0.99 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,sdtpldt0(xu,X1))=sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,X1)))),
% 3.92/0.99 inference(resolution,[status(thm)],[f66,f62])).
% 3.92/0.99 fof(f306,plain,(
% 3.92/0.99 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xv)))),
% 3.92/0.99 inference(resolution,[status(thm)],[f67,f128])).
% 3.92/0.99 fof(f667,plain,(
% 3.92/0.99 sdtasdt0(xx,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv))),
% 3.92/0.99 inference(resolution,[status(thm)],[f306,f64])).
% 3.92/0.99 fof(f668,plain,(
% 3.92/0.99 sdtasdt0(xy,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
% 3.92/0.99 inference(resolution,[status(thm)],[f306,f65])).
% 3.92/0.99 fof(f1567,plain,(
% 3.92/0.99 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))),
% 3.92/0.99 inference(backward_demodulation,[status(thm)],[f667,f69])).
% 3.92/0.99 fof(f1568,plain,(
% 3.92/0.99 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))),
% 3.92/0.99 inference(forward_demodulation,[status(thm)],[f668,f1567])).
% 3.92/0.99 fof(f1569,plain,(
% 3.92/0.99 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),
% 3.92/0.99 inference(forward_demodulation,[status(thm)],[f68,f1568])).
% 3.92/0.99 fof(f1570,plain,(
% 3.92/0.99 $false),
% 3.92/0.99 inference(trivial_equality_resolution,[status(thm)],[f1569])).
% 3.92/0.99 % SZS output end CNFRefutation for theBenchmark.p
% 0.29/1.00 % Elapsed time: 0.620670 seconds
% 0.29/1.00 % CPU time: 4.620201 seconds
% 0.29/1.00 % Total memory used: 177.180 MB
% 0.29/1.00 % Net memory used: 169.696 MB
%------------------------------------------------------------------------------