%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP682-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 12:37:09 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP682-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.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 : Sun Sep 20 20:32:52 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (![A]: (ld(A,mult(A,A)) = A ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (![A,B]: (mult(A,ld(A,B)) = ld(A,mult(A,B)) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (![A,B,C,D]: (ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,negated_conjecture,(
% 0.13/0.36 ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2)) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,plain,(
% 0.13/0.36 ![X0]: (ld(X0,mult(X0,X0))=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X0,X1]: (mult(X0,ld(X0,X1))=ld(X0,mult(X0,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3)))=mult(ld(X0,mult(X0,X2)),X3))),
% 0.13/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ~ld(ld(x0,x1),mult(ld(x0,x1),x2))=ld(x0,mult(x0,x2))),
% 0.13/0.36 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![X0,X1,X2]: (ld(X0,mult(ld(X0,mult(X0,X0)),mult(X1,X2)))=mult(ld(X0,mult(X0,X1)),X2))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3))))=mult(ld(X0,mult(X0,X2)),ld(X2,X3)))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f11,f13])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ![X0,X1,X2]: (ld(X0,mult(X0,mult(X1,X2)))=mult(ld(X0,mult(X0,X1)),X2))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f9,f31])).
% 0.13/0.36 fof(f61,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3))))=ld(X0,mult(X0,mult(X2,ld(X2,X3)))))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f49,f36])).
% 0.13/0.36 fof(f62,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3))))=ld(X0,mult(X0,ld(X2,mult(X2,X3)))))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f11,f61])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 ![X0,X1,X2]: (ld(ld(X0,X1),mult(ld(X0,X1),X2))=ld(X0,mult(X0,ld(X2,mult(X2,X2)))))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f9,f62])).
% 0.13/0.36 fof(f177,plain,(
% 0.13/0.36 ~ld(x0,mult(x0,x2))=ld(x0,mult(x0,x2))),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f181,f16])).
% 0.13/0.36 fof(f181,plain,(
% 0.13/0.36 ![X0,X1,X2]: (ld(ld(X0,X1),mult(ld(X0,X1),X2))=ld(X0,mult(X0,X2)))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f9,f148])).
% 0.13/0.36 fof(f198,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(trivial_equality_resolution,[status(thm)],[f177])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 5.73/1.59 % Elapsed time: 1.023654 seconds
% 5.73/1.59 % CPU time: 0.031670 seconds
% 5.73/1.59 % Total memory used: 1.382 MB
% 5.73/1.59 % Net memory used: 1.370 MB
%------------------------------------------------------------------------------