%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:45:51 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n020.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 20:47:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.47 fof(f1,axiom,(
% 0.17/0.47 (![X,Y]: (nand(X,Y) = not(and(X,Y)) ))),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f2,axiom,(
% 0.17/0.47 (![X]: (and(X,n0) = n0 ))),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f3,axiom,(
% 0.17/0.47 (![X]: (and(X,n1) = X ))),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f4,axiom,(
% 0.17/0.47 not(n0) = n1 ),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f5,axiom,(
% 0.17/0.47 not(n1) = n0 ),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f6,negated_conjecture,(
% 0.17/0.47 (![X1,X2,X3,X4,Y1,Y2,Y3,Y4]: (( ~ output(X1,X2,X3,X4)| ~ output(Y1,Y2,Y3,Y4)| output(nand(X1,Y1),nand(X2,Y2),nand(X3,Y3),nand(X4,Y4)) ) ))),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f7,negated_conjecture,(
% 0.17/0.47 output(n0,n0,n1,n1) ),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f8,negated_conjecture,(
% 0.17/0.47 output(n0,n1,n0,n1) ),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f9,negated_conjecture,(
% 0.17/0.47 ~ output(n0,n1,n1,n1) ),
% 0.17/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f10,plain,(
% 0.17/0.47 ![X0,X1]: (nand(X0,X1)=not(and(X0,X1)))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.47 fof(f11,plain,(
% 0.17/0.47 ![X0]: (and(X0,n0)=n0)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.47 fof(f12,plain,(
% 0.17/0.47 ![X0]: (and(X0,n1)=X0)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.47 fof(f13,plain,(
% 0.17/0.47 not(n0)=n1),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.47 fof(f14,plain,(
% 0.17/0.47 not(n1)=n0),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.47 fof(f15,plain,(
% 0.17/0.47 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~output(X0,X1,X2,X3)|~output(X4,X5,X6,X7)|output(nand(X0,X4),nand(X1,X5),nand(X2,X6),nand(X3,X7)))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.47 fof(f16,plain,(
% 0.17/0.47 output(n0,n0,n1,n1)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.47 fof(f17,plain,(
% 0.17/0.47 output(n0,n1,n0,n1)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.47 fof(f18,plain,(
% 0.17/0.47 ~output(n0,n1,n1,n1)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.47 fof(f19,plain,(
% 0.17/0.47 ![X0]: (nand(X0,n1)=not(X0))),
% 0.17/0.47 inference(paramodulation,[status(thm)],[f12,f10])).
% 0.17/0.47 fof(f20,plain,(
% 0.17/0.47 ![X0]: (nand(X0,n0)=not(n0))),
% 0.17/0.47 inference(paramodulation,[status(thm)],[f11,f10])).
% 0.17/0.47 fof(f21,plain,(
% 0.17/0.47 ![X0]: (nand(X0,n0)=n1)),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f13,f20])).
% 0.17/0.47 fof(f22,plain,(
% 0.17/0.47 output(nand(n0,n0),nand(n0,n0),nand(n1,n1),nand(n1,n1))),
% 0.17/0.47 inference(resolution,[status(thm)],[f16,f15])).
% 0.17/0.47 fof(f26,plain,(
% 0.17/0.47 output(n1,nand(n0,n0),nand(n1,n1),nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f21,f22])).
% 0.17/0.47 fof(f27,plain,(
% 0.17/0.47 output(n1,n1,nand(n1,n1),nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f21,f26])).
% 0.17/0.47 fof(f28,plain,(
% 0.17/0.47 output(n1,n1,not(n1),nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f19,f27])).
% 0.17/0.47 fof(f29,plain,(
% 0.17/0.47 output(n1,n1,n0,nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f14,f28])).
% 0.17/0.47 fof(f30,plain,(
% 0.17/0.47 output(n1,n1,n0,not(n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f19,f29])).
% 0.17/0.47 fof(f31,plain,(
% 0.17/0.47 output(n1,n1,n0,n0)),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f14,f30])).
% 0.17/0.47 fof(f42,plain,(
% 0.17/0.47 output(nand(n0,n0),nand(n1,n1),nand(n0,n0),nand(n1,n1))),
% 0.17/0.47 inference(resolution,[status(thm)],[f17,f15])).
% 0.17/0.47 fof(f46,plain,(
% 0.17/0.47 output(n1,nand(n1,n1),nand(n0,n0),nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f21,f42])).
% 0.17/0.47 fof(f47,plain,(
% 0.17/0.47 output(n1,not(n1),nand(n0,n0),nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f19,f46])).
% 0.17/0.47 fof(f48,plain,(
% 0.17/0.47 output(n1,n0,nand(n0,n0),nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f14,f47])).
% 0.17/0.47 fof(f49,plain,(
% 0.17/0.47 output(n1,n0,n1,nand(n1,n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f21,f48])).
% 0.17/0.47 fof(f50,plain,(
% 0.17/0.47 output(n1,n0,n1,not(n1))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f19,f49])).
% 0.17/0.47 fof(f51,plain,(
% 0.17/0.47 output(n1,n0,n1,n0)),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f14,f50])).
% 0.17/0.48 fof(f63,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~output(X0,X1,X2,X3)|output(nand(X0,n1),nand(X1,n1),nand(X2,n0),nand(X3,n0)))),
% 0.17/0.48 inference(resolution,[status(thm)],[f31,f15])).
% 0.17/0.48 fof(f72,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~output(X0,X1,X2,X3)|output(not(X0),nand(X1,n1),nand(X2,n0),nand(X3,n0)))),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f19,f63])).
% 0.17/0.48 fof(f73,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~output(X0,X1,X2,X3)|output(not(X0),not(X1),nand(X2,n0),nand(X3,n0)))),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f19,f72])).
% 0.17/0.48 fof(f74,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~output(X0,X1,X2,X3)|output(not(X0),not(X1),n1,nand(X3,n0)))),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f21,f73])).
% 0.17/0.48 fof(f75,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~output(X0,X1,X2,X3)|output(not(X0),not(X1),n1,n1))),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f21,f74])).
% 0.17/0.48 fof(f354,plain,(
% 0.17/0.48 output(not(n1),not(n0),n1,n1)),
% 0.17/0.48 inference(resolution,[status(thm)],[f75,f51])).
% 0.17/0.48 fof(f362,plain,(
% 0.17/0.48 output(n0,not(n0),n1,n1)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f14,f354])).
% 0.17/0.48 fof(f363,plain,(
% 0.17/0.48 output(n0,n1,n1,n1)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f13,f362])).
% 0.17/0.48 fof(f364,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f363,f18])).
% 0.17/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.51 % Elapsed time: 0.053751 seconds
% 0.17/0.51 % CPU time: 0.151036 seconds
% 0.17/0.51 % Total memory used: 35.610 MB
% 0.17/0.51 % Net memory used: 35.385 MB
%------------------------------------------------------------------------------