%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP685-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:37:10 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP685-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.32 % Computer : n018.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % Memory : 8046.5625MB
% 0.08/0.32 % OS : Linux 6.8.0-71-generic
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 300
% 0.08/0.32 % DateTime : Sun Sep 20 20:35:27 UTC 2026
% 0.08/0.32 % CPUTime :
% 0.08/0.33 % Drodi V4.1.1
% 0.08/0.35 % Refutation found
% 0.08/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.35 fof(f2,axiom,(
% 0.08/0.35 (![A]: (rd(mult(A,A),A) = A ))),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f4,axiom,(
% 0.08/0.35 (![A,B]: (mult(rd(A,B),B) = rd(mult(A,B),B) ))),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f6,axiom,(
% 0.08/0.35 (![A,B,C,D]: (rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ))),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f8,negated_conjecture,(
% 0.08/0.35 rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8) ),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f10,plain,(
% 0.08/0.35 ![X0]: (rd(mult(X0,X0),X0)=X0)),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.35 fof(f12,plain,(
% 0.08/0.35 ![X0,X1]: (mult(rd(X0,X1),X1)=rd(mult(X0,X1),X1))),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.35 fof(f14,plain,(
% 0.08/0.35 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3))=mult(X0,rd(mult(X1,X3),X3)))),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.35 fof(f16,plain,(
% 0.08/0.35 ~rd(mult(x6,rd(x7,x8)),rd(x7,x8))=rd(mult(x6,x8),x8)),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.35 fof(f28,plain,(
% 0.08/0.35 ![X0,X1,X2,X3]: (rd(mult(rd(mult(X0,X1),X1),rd(X2,X3)),rd(X2,X3))=mult(rd(X0,X1),rd(mult(X1,X3),X3)))),
% 0.08/0.35 inference(paramodulation,[status(thm)],[f12,f14])).
% 0.08/0.35 fof(f32,plain,(
% 0.08/0.35 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),rd(mult(X2,X2),X2))=mult(X0,rd(mult(X1,X2),X2)))),
% 0.08/0.35 inference(paramodulation,[status(thm)],[f10,f14])).
% 0.08/0.35 fof(f46,plain,(
% 0.08/0.35 ![X0,X1,X2,X3]: (rd(mult(rd(mult(X0,X1),X1),rd(X2,X3)),rd(X2,X3))=rd(mult(mult(rd(X0,X1),X1),X3),X3))),
% 0.08/0.35 inference(backward_demodulation,[status(thm)],[f50,f28])).
% 0.08/0.35 fof(f50,plain,(
% 0.08/0.35 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),X2)=mult(X0,rd(mult(X1,X2),X2)))),
% 0.08/0.35 inference(forward_demodulation,[status(thm)],[f10,f32])).
% 0.08/0.35 fof(f69,plain,(
% 0.08/0.35 ![X0,X1,X2,X3]: (rd(mult(rd(mult(X0,X1),X1),rd(X2,X3)),rd(X2,X3))=rd(mult(rd(mult(X0,X1),X1),X3),X3))),
% 0.08/0.35 inference(forward_demodulation,[status(thm)],[f12,f46])).
% 0.08/0.35 fof(f351,plain,(
% 0.08/0.35 ![X0,X1,X2]: (rd(mult(X0,rd(X1,X2)),rd(X1,X2))=rd(mult(rd(mult(X0,X0),X0),X2),X2))),
% 0.08/0.35 inference(paramodulation,[status(thm)],[f10,f69])).
% 0.08/0.35 fof(f383,plain,(
% 0.08/0.35 ~rd(mult(x6,x8),x8)=rd(mult(x6,x8),x8)),
% 0.08/0.35 inference(backward_demodulation,[status(thm)],[f385,f16])).
% 0.08/0.35 fof(f385,plain,(
% 0.08/0.35 ![X0,X1,X2]: (rd(mult(X0,rd(X1,X2)),rd(X1,X2))=rd(mult(X0,X2),X2))),
% 0.08/0.35 inference(forward_demodulation,[status(thm)],[f10,f351])).
% 0.08/0.35 fof(f431,plain,(
% 0.08/0.35 $false),
% 0.08/0.35 inference(trivial_equality_resolution,[status(thm)],[f383])).
% 0.08/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 6.29/1.61 % Elapsed time: 1.063907 seconds
% 6.29/1.61 % CPU time: 0.061298 seconds
% 6.29/1.61 % Total memory used: 2.260 MB
% 6.29/1.61 % Net memory used: 2.221 MB
%------------------------------------------------------------------------------