%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG044+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 : n016.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 56.45s 7.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG044+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:20:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 56.45/7.62 % Refutation found
% 56.45/7.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 56.45/7.62 % SZS output start CNFRefutation for theBenchmark
% 56.45/7.62 fof(f10,axiom,(
% 56.45/7.62 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 56.45/7.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 56.45/7.62 fof(f14,axiom,(
% 56.45/7.62 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))& sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) )),
% 56.45/7.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 56.45/7.62 fof(f15,axiom,(
% 56.45/7.62 (! [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)) ) ) )),
% 56.45/7.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 56.45/7.62 fof(f16,hypothesis,(
% 56.45/7.62 ( aScalar0(xx)& aScalar0(xy)& aScalar0(xu)& aScalar0(xv) ) ),
% 56.45/7.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.58/7.62 fof(f17,conjecture,(
% 52.58/7.62 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) ),
% 52.58/7.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.58/7.62 fof(f18,negated_conjecture,(
% 52.58/7.62 ~(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) )),
% 52.58/7.62 inference(negated_conjecture,[status(cth)],[f17])).
% 52.58/7.62 fof(f40,plain,(
% 52.58/7.62 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 52.58/7.62 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 52.58/7.62 fof(f41,plain,(
% 52.58/7.62 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f40])).
% 52.58/7.62 fof(f55,plain,(
% 52.58/7.62 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|(((sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0))&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)))),
% 52.58/7.62 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 52.58/7.62 fof(f57,plain,(
% 52.58/7.62 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0))),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f55])).
% 52.58/7.62 fof(f59,plain,(
% 52.58/7.62 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f55])).
% 52.58/7.62 fof(f60,plain,(
% 52.58/7.62 ![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))))),
% 52.58/7.62 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 52.58/7.62 fof(f61,plain,(
% 52.58/7.62 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f60])).
% 52.58/7.62 fof(f63,plain,(
% 52.58/7.62 aScalar0(xx)),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f16])).
% 52.58/7.62 fof(f64,plain,(
% 52.58/7.62 aScalar0(xy)),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f16])).
% 52.58/7.62 fof(f65,plain,(
% 52.58/7.62 aScalar0(xu)),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f16])).
% 52.58/7.62 fof(f66,plain,(
% 52.58/7.62 aScalar0(xv)),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f16])).
% 52.58/7.62 fof(f67,plain,(
% 52.58/7.62 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))),
% 52.58/7.62 inference(cnf_transformation,[status(thm)],[f18])).
% 52.58/7.62 fof(f68,plain,(
% 52.58/7.62 ![X0]: (~aScalar0(X0)|aScalar0(sdtpldt0(xu,X0)))),
% 52.58/7.62 inference(resolution,[status(thm)],[f41,f65])).
% 52.58/7.62 fof(f69,plain,(
% 52.58/7.62 ![X0]: (~aScalar0(X0)|aScalar0(sdtpldt0(xy,X0)))),
% 52.58/7.62 inference(resolution,[status(thm)],[f41,f64])).
% 52.58/7.62 fof(f80,plain,(
% 52.58/7.62 ![X0]: (~aScalar0(X0)|sdtpldt0(X0,xy)=sdtpldt0(xy,X0))),
% 52.58/7.62 inference(resolution,[status(thm)],[f57,f64])).
% 52.58/7.62 fof(f126,plain,(
% 52.58/7.62 sdtpldt0(xx,xy)=sdtpldt0(xy,xx)),
% 52.58/7.62 inference(resolution,[status(thm)],[f80,f63])).
% 52.58/7.62 fof(f139,plain,(
% 52.58/7.62 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xy)=sdtasdt0(xy,X0))),
% 52.58/7.62 inference(resolution,[status(thm)],[f59,f64])).
% 52.58/7.66 fof(f141,plain,(
% 52.58/7.66 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,xx)=sdtasdt0(xx,X0))),
% 52.58/7.66 inference(resolution,[status(thm)],[f59,f63])).
% 52.58/7.66 fof(f143,plain,(
% 52.58/7.66 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 52.58/7.66 inference(resolution,[status(thm)],[f59,f66])).
% 52.58/7.66 fof(f165,plain,(
% 52.58/7.66 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,sdtpldt0(xu,X1))=sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,X1)))),
% 52.58/7.66 inference(resolution,[status(thm)],[f61,f65])).
% 52.58/7.66 fof(f169,plain,(
% 52.58/7.66 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,sdtpldt0(xx,X1))=sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,X1)))),
% 52.58/7.66 inference(resolution,[status(thm)],[f61,f63])).
% 52.58/7.66 fof(f208,plain,(
% 52.58/7.66 aScalar0(sdtpldt0(xu,xv))),
% 52.58/7.66 inference(resolution,[status(thm)],[f68,f66])).
% 52.58/7.66 fof(f270,plain,(
% 52.58/7.66 aScalar0(sdtpldt0(xy,xx))),
% 52.58/7.66 inference(resolution,[status(thm)],[f69,f63])).
% 52.58/7.66 fof(f272,plain,(
% 52.58/7.66 aScalar0(sdtpldt0(xx,xy))),
% 52.58/7.66 inference(forward_demodulation,[status(thm)],[f126,f270])).
% 52.58/7.66 fof(f799,plain,(
% 52.58/7.66 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xv)))),
% 52.58/7.66 inference(resolution,[status(thm)],[f165,f66])).
% 52.58/7.66 fof(f893,plain,(
% 52.58/7.66 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,sdtpldt0(xx,xy))=sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xy)))),
% 52.58/7.66 inference(resolution,[status(thm)],[f169,f64])).
% 52.58/7.66 fof(f2608,plain,(
% 52.58/7.66 sdtasdt0(xy,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
% 52.58/7.66 inference(resolution,[status(thm)],[f799,f64])).
% 52.58/7.66 fof(f2609,plain,(
% 52.58/7.66 sdtasdt0(xx,sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv))),
% 52.58/7.66 inference(resolution,[status(thm)],[f799,f63])).
% 52.58/7.66 fof(f2623,plain,(
% 52.58/7.66 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))),
% 52.58/7.66 inference(backward_demodulation,[status(thm)],[f2608,f67])).
% 52.58/7.66 fof(f2624,plain,(
% 52.58/7.66 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))),
% 52.58/7.66 inference(forward_demodulation,[status(thm)],[f2609,f2623])).
% 52.58/7.66 fof(f2895,plain,(
% 52.58/7.66 sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xy))=sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xx),sdtasdt0(sdtpldt0(xu,xv),xy))),
% 52.58/7.66 inference(resolution,[status(thm)],[f208,f893])).
% 52.58/7.66 fof(f3040,plain,(
% 52.58/7.66 ![X0]: (~aScalar0(X0)|sdtasdt0(X0,sdtpldt0(xu,xv))=sdtasdt0(sdtpldt0(xu,xv),X0))),
% 52.58/7.66 inference(resolution,[status(thm)],[f208,f143])).
% 52.58/7.66 fof(f3041,plain,(
% 52.58/7.66 sdtasdt0(sdtpldt0(xu,xv),xx)=sdtasdt0(xx,sdtpldt0(xu,xv))),
% 52.58/7.66 inference(resolution,[status(thm)],[f208,f141])).
% 52.58/7.66 fof(f3046,plain,(
% 52.58/7.66 sdtasdt0(sdtpldt0(xu,xv),xy)=sdtasdt0(xy,sdtpldt0(xu,xv))),
% 52.58/7.66 inference(resolution,[status(thm)],[f208,f139])).
% 52.58/7.66 fof(f3179,plain,(
% 52.58/7.66 sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xy))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(sdtpldt0(xu,xv),xy))),
% 52.58/7.66 inference(backward_demodulation,[status(thm)],[f3041,f2895])).
% 52.58/7.66 fof(f3206,plain,(
% 52.58/7.66 ~sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xy))),
% 52.58/7.66 inference(backward_demodulation,[status(thm)],[f3207,f2624])).
% 52.58/7.66 fof(f3207,plain,(
% 52.58/7.66 sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xy))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))),
% 52.58/7.66 inference(forward_demodulation,[status(thm)],[f3046,f3179])).
% 52.58/7.66 fof(f5063,plain,(
% 52.58/7.66 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xy))),
% 52.58/7.66 inference(resolution,[status(thm)],[f272,f3040])).
% 52.58/7.66 fof(f5246,plain,(
% 52.58/7.66 $false),
% 52.58/7.66 inference(forward_subsumption_resolution,[status(thm)],[f5063,f3206])).
% 52.58/7.66 % SZS output end CNFRefutation for theBenchmark.p
% 52.58/7.69 % Elapsed time: 7.313717 seconds
% 52.58/7.69 % CPU time: 57.656851 seconds
% 52.58/7.69 % Total memory used: 509.019 MB
% 52.58/7.69 % Net memory used: 455.224 MB
%------------------------------------------------------------------------------