%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP683-11 : 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 : n004.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 0.18s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP683-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % Computer : n004.cluster.edu
% 0.18/0.47 % Model : x86_64 x86_64
% 0.18/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47 % Memory : 8046.5625MB
% 0.18/0.47 % OS : Linux 6.8.0-71-generic
% 0.18/0.47 % CPULimit : 300
% 0.18/0.47 % WCLimit : 300
% 0.18/0.47 % DateTime : Sun Sep 20 20:32:49 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.49 % Drodi V4.1.1
% 0.18/0.65 % Refutation found
% 0.18/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.65 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.65 fof(f2,axiom,(
% 0.18/0.65 (![A]: (rd(mult(A,A),A) = A ))),
% 0.18/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.65 fof(f4,axiom,(
% 0.18/0.65 (![A,B]: (mult(rd(A,B),B) = rd(mult(A,B),B) ))),
% 0.18/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.65 fof(f6,axiom,(
% 0.18/0.65 (![A,B,C,D]: (rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ))),
% 0.18/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.65 fof(f8,negated_conjecture,(
% 0.18/0.65 mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5) ),
% 0.18/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.65 fof(f10,plain,(
% 0.18/0.65 ![X0]: (rd(mult(X0,X0),X0)=X0)),
% 0.18/0.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.65 fof(f12,plain,(
% 0.18/0.65 ![X0,X1]: (mult(rd(X0,X1),X1)=rd(mult(X0,X1),X1))),
% 0.18/0.65 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.65 fof(f14,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3))=mult(X0,rd(mult(X1,X3),X3)))),
% 0.18/0.65 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.65 fof(f16,plain,(
% 0.18/0.65 ~mult(rd(mult(x3,x4),x4),x5)=mult(x3,x5)),
% 0.18/0.65 inference(cnf_transformation,[status(thm)],[f8])).
% 0.18/0.65 fof(f28,plain,(
% 0.18/0.65 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),rd(mult(X2,X2),X2))=mult(X0,rd(mult(X1,X2),X2)))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f10,f14])).
% 0.18/0.65 fof(f33,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (mult(mult(X0,rd(mult(X1,X2),X2)),rd(X3,X2))=rd(mult(mult(mult(X0,X1),rd(X3,X2)),rd(X3,X2)),rd(X3,X2)))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f14,f12])).
% 0.18/0.65 fof(f37,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3))=rd(mult(mult(X0,X1),X3),X3))),
% 0.18/0.65 inference(backward_demodulation,[status(thm)],[f41,f14])).
% 0.18/0.65 fof(f41,plain,(
% 0.18/0.65 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),X2)=mult(X0,rd(mult(X1,X2),X2)))),
% 0.18/0.65 inference(forward_demodulation,[status(thm)],[f10,f28])).
% 0.18/0.65 fof(f54,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (mult(rd(mult(mult(X0,X1),X2),X2),rd(X3,X2))=rd(mult(mult(mult(X0,X1),rd(X3,X2)),rd(X3,X2)),rd(X3,X2)))),
% 0.18/0.65 inference(forward_demodulation,[status(thm)],[f41,f33])).
% 0.18/0.65 fof(f55,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (mult(rd(mult(mult(X0,X1),X2),X2),rd(X3,X2))=mult(mult(X0,X1),rd(mult(rd(X3,X2),X2),X2)))),
% 0.18/0.65 inference(forward_demodulation,[status(thm)],[f14,f54])).
% 0.18/0.65 fof(f56,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (mult(rd(mult(mult(X0,X1),X2),X2),rd(X3,X2))=rd(mult(mult(mult(X0,X1),rd(X3,X2)),X2),X2))),
% 0.18/0.65 inference(forward_demodulation,[status(thm)],[f41,f55])).
% 0.18/0.65 fof(f64,plain,(
% 0.18/0.65 ![X0,X1]: (rd(mult(mult(X0,X1),X1),X1)=mult(X0,X1))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f10,f41])).
% 0.18/0.65 fof(f105,plain,(
% 0.18/0.65 ![X0,X1,X2]: (rd(mult(mult(X0,rd(X1,X2)),X2),X2)=mult(X0,rd(X1,X2)))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f37,f64])).
% 0.18/0.65 fof(f110,plain,(
% 0.18/0.65 ![X0,X1,X2]: (rd(mult(mult(X0,mult(X1,X2)),X2),X2)=mult(X0,mult(X1,X2)))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f64,f41])).
% 0.18/0.65 fof(f111,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),rd(mult(mult(X2,X3),X3),X3)),mult(X2,X3))=rd(mult(mult(X0,X1),X3),X3))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f64,f37])).
% 0.18/0.65 fof(f115,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (mult(rd(mult(mult(X0,X1),X2),X2),rd(X3,X2))=mult(mult(X0,X1),rd(X3,X2)))),
% 0.18/0.65 inference(backward_demodulation,[status(thm)],[f105,f56])).
% 0.18/0.65 fof(f124,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (rd(rd(mult(mult(mult(X0,X1),mult(X2,X3)),X3),X3),mult(X2,X3))=rd(mult(mult(X0,X1),X3),X3))),
% 0.18/0.65 inference(forward_demodulation,[status(thm)],[f41,f111])).
% 0.18/0.65 fof(f126,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),mult(X2,X3)),mult(X2,X3))=rd(mult(mult(X0,X1),X3),X3))),
% 0.18/0.65 inference(forward_demodulation,[status(thm)],[f110,f124])).
% 0.18/0.65 fof(f130,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (rd(mult(rd(mult(X0,X1),X1),mult(X2,X3)),mult(X2,X3))=rd(mult(mult(rd(X0,X1),X1),X3),X3))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f12,f126])).
% 0.18/0.65 fof(f142,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (rd(mult(rd(mult(X0,X1),X1),mult(X2,X3)),mult(X2,X3))=rd(mult(rd(mult(X0,X1),X1),X3),X3))),
% 0.18/0.65 inference(forward_demodulation,[status(thm)],[f12,f130])).
% 0.18/0.65 fof(f209,plain,(
% 0.18/0.65 ![X0,X1,X2,X3]: (mult(rd(mult(rd(mult(X0,X1),X1),X2),X2),rd(X3,X2))=mult(mult(rd(X0,X1),X1),rd(X3,X2)))),
% 0.18/0.65 inference(paramodulation,[status(thm)],[f12,f115])).
% 0.22/0.67 fof(f229,plain,(
% 0.22/0.67 ![X0,X1,X2,X3]: (mult(rd(mult(rd(mult(X0,X1),X1),X2),X2),rd(X3,X2))=mult(rd(mult(X0,X1),X1),rd(X3,X2)))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f12,f209])).
% 0.22/0.67 fof(f263,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(X1,X2))=rd(mult(rd(mult(X0,X0),X0),X2),X2))),
% 0.22/0.67 inference(paramodulation,[status(thm)],[f10,f142])).
% 0.22/0.67 fof(f292,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(X1,X2))=rd(mult(X0,X2),X2))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f10,f263])).
% 0.22/0.67 fof(f343,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(mult(X0,rd(mult(X1,X2),X2)),mult(rd(X1,X2),X2))=rd(mult(X0,X2),X2))),
% 0.22/0.67 inference(paramodulation,[status(thm)],[f12,f292])).
% 0.22/0.67 fof(f357,plain,(
% 0.22/0.67 ![X0,X1,X2]: (mult(rd(mult(X0,X1),X1),mult(X2,X1))=rd(mult(mult(X0,mult(X2,X1)),mult(X2,X1)),mult(X2,X1)))),
% 0.22/0.67 inference(paramodulation,[status(thm)],[f292,f12])).
% 0.22/0.67 fof(f363,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(rd(mult(mult(X0,X1),X2),X2),mult(rd(X1,X2),X2))=rd(mult(X0,X2),X2))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f41,f343])).
% 0.22/0.67 fof(f368,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(rd(mult(mult(X0,X1),X2),X2),rd(mult(X1,X2),X2))=rd(mult(X0,X2),X2))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f12,f363])).
% 0.22/0.67 fof(f394,plain,(
% 0.22/0.67 ![X0,X1,X2]: (mult(rd(mult(X0,X1),X1),mult(X2,X1))=mult(X0,mult(X2,X1)))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f64,f357])).
% 0.22/0.67 fof(f451,plain,(
% 0.22/0.67 ![X0,X1,X2,X3]: (rd(rd(mult(mult(X0,mult(X1,X2)),X3),X3),rd(mult(mult(X1,X2),X3),X3))=rd(mult(rd(mult(X0,X2),X2),X3),X3))),
% 0.22/0.67 inference(paramodulation,[status(thm)],[f394,f368])).
% 0.22/0.67 fof(f454,plain,(
% 0.22/0.67 ![X0,X1,X2,X3,X4]: (rd(rd(mult(mult(X0,mult(X1,X2)),rd(X3,X4)),rd(X3,X4)),rd(mult(mult(X1,X2),X4),X4))=rd(mult(X0,rd(X3,X4)),rd(X3,X4)))),
% 0.22/0.67 inference(paramodulation,[status(thm)],[f37,f368])).
% 0.22/0.67 fof(f476,plain,(
% 0.22/0.67 ![X0,X1,X2,X3]: (mult(rd(mult(X0,X1),X1),rd(X2,X1))=mult(rd(mult(X0,X3),X3),rd(X2,X1)))),
% 0.22/0.67 inference(backward_demodulation,[status(thm)],[f477,f229])).
% 0.22/0.67 fof(f477,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(mult(X0,X1),X1)=rd(mult(rd(mult(X0,X2),X2),X1),X1))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f368,f451])).
% 0.22/0.67 fof(f482,plain,(
% 0.22/0.67 ![X0,X1,X2,X3,X4]: (rd(rd(mult(mult(X0,mult(X1,X2)),X3),X3),rd(mult(mult(X1,X2),X3),X3))=rd(mult(X0,rd(X4,X3)),rd(X4,X3)))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f37,f454])).
% 0.22/0.67 fof(f485,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(mult(X0,X1),X1)=rd(mult(X0,rd(X2,X1)),rd(X2,X1)))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f368,f482])).
% 0.22/0.67 fof(f538,plain,(
% 0.22/0.67 ![X0,X1,X2]: (mult(rd(mult(X0,X1),X1),rd(X2,X1))=rd(mult(mult(X0,rd(X2,X1)),rd(X2,X1)),rd(X2,X1)))),
% 0.22/0.67 inference(paramodulation,[status(thm)],[f485,f12])).
% 0.22/0.67 fof(f574,plain,(
% 0.22/0.67 ![X0,X1,X2,X3]: (mult(X0,rd(X1,X2))=mult(rd(mult(X0,X3),X3),rd(X1,X2)))),
% 0.22/0.67 inference(backward_demodulation,[status(thm)],[f575,f476])).
% 0.22/0.67 fof(f575,plain,(
% 0.22/0.67 ![X0,X1,X2]: (mult(rd(mult(X0,X1),X1),rd(X2,X1))=mult(X0,rd(X2,X1)))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f64,f538])).
% 0.22/0.67 fof(f1082,plain,(
% 0.22/0.67 ![X0,X1,X2]: (mult(X0,rd(mult(X1,X1),X1))=mult(rd(mult(X0,X2),X2),X1))),
% 0.22/0.67 inference(paramodulation,[status(thm)],[f10,f574])).
% 0.22/0.67 fof(f1133,plain,(
% 0.22/0.67 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X1),X1)=mult(rd(mult(X0,X2),X2),X1))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f41,f1082])).
% 0.22/0.67 fof(f1134,plain,(
% 0.22/0.67 ~mult(x3,x5)=mult(x3,x5)),
% 0.22/0.67 inference(backward_demodulation,[status(thm)],[f1140,f16])).
% 0.22/0.67 fof(f1140,plain,(
% 0.22/0.67 ![X0,X1,X2]: (mult(X0,X1)=mult(rd(mult(X0,X2),X2),X1))),
% 0.22/0.67 inference(forward_demodulation,[status(thm)],[f64,f1133])).
% 0.22/0.67 fof(f1187,plain,(
% 0.22/0.67 $false),
% 0.22/0.67 inference(trivial_equality_resolution,[status(thm)],[f1134])).
% 0.22/0.67 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.68 % Elapsed time: 0.188342 seconds
% 0.22/0.68 % CPU time: 1.046499 seconds
% 0.22/0.68 % Total memory used: 29.802 MB
% 0.22/0.68 % Net memory used: 28.231 MB
%------------------------------------------------------------------------------