%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP751-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:37:17 PM UTC 2026
% Result : Unsatisfiable 149.97s 19.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP751-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 20:40:50 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 149.97/19.48 % Refutation found
% 149.97/19.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 149.97/19.48 % SZS output start CNFRefutation for theBenchmark
% 149.97/19.48 fof(f3,axiom,(
% 149.97/19.48 (![A,B]: (mult(rd(A,B),B) = A ))),
% 149.97/19.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 149.97/19.48 fof(f4,axiom,(
% 149.97/19.48 (![A,B]: (rd(mult(A,B),B) = A ))),
% 149.97/19.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 149.97/19.48 fof(f5,axiom,(
% 149.97/19.48 (![A,B,C]: (mult(mult(A,mult(A,A)),mult(B,C)) = mult(mult(A,B),mult(mult(A,A),C)) ))),
% 149.97/19.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 149.97/19.48 fof(f7,axiom,(
% 149.97/19.48 (![A,B,C]: (mult(mult(A,B),mult(C,C)) = mult(mult(A,C),mult(B,C)) ))),
% 149.97/19.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 149.97/19.48 fof(f8,negated_conjecture,(
% 149.97/19.48 mult(a,mult(b,c)) != mult(mult(rd(a,a),b),mult(a,c)) ),
% 149.97/19.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 149.97/19.48 fof(f11,plain,(
% 149.97/19.48 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 149.97/19.48 inference(cnf_transformation,[status(thm)],[f3])).
% 149.97/19.48 fof(f12,plain,(
% 149.97/19.48 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 149.97/19.48 inference(cnf_transformation,[status(thm)],[f4])).
% 149.97/19.48 fof(f13,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(mult(X0,mult(X0,X0)),mult(X1,X2))=mult(mult(X0,X1),mult(mult(X0,X0),X2)))),
% 149.97/19.48 inference(cnf_transformation,[status(thm)],[f5])).
% 149.97/19.48 fof(f15,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X2,X2))=mult(mult(X0,X2),mult(X1,X2)))),
% 149.97/19.48 inference(cnf_transformation,[status(thm)],[f7])).
% 149.97/19.48 fof(f16,plain,(
% 149.97/19.48 ~mult(a,mult(b,c))=mult(mult(rd(a,a),b),mult(a,c))),
% 149.97/19.48 inference(cnf_transformation,[status(thm)],[f8])).
% 149.97/19.48 fof(f50,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(mult(mult(X0,mult(X0,X0)),mult(X1,X2)),mult(mult(X0,X0),X2))=mult(X0,X1))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f13,f12])).
% 149.97/19.48 fof(f103,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(X0,mult(X1,X1))=mult(mult(rd(X0,X2),X1),mult(X2,X1)))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f11,f15])).
% 149.97/19.48 fof(f119,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(mult(rd(X0,X1),X2),mult(X1,X1))=mult(X0,mult(X2,X1)))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f11,f15])).
% 149.97/19.48 fof(f370,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X1)),mult(X2,X1))=mult(rd(X0,X2),X1))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f103,f12])).
% 149.97/19.48 fof(f407,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(X2,X2))=mult(rd(X0,X2),X1))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f119,f12])).
% 149.97/19.48 fof(f1695,plain,(
% 149.97/19.48 ![X0,X1,X2,X3]: (rd(mult(X0,mult(X1,X2)),mult(X3,X2))=mult(rd(mult(rd(X0,X2),X1),X3),X2))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f119,f370])).
% 149.97/19.48 fof(f1729,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X1)),X2)=mult(rd(X0,rd(X2,X1)),X1))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f11,f370])).
% 149.97/19.48 fof(f1789,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(mult(X0,X1),mult(X2,X2))=mult(rd(X0,X2),rd(X1,X2)))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f11,f407])).
% 149.97/19.48 fof(f3328,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(X0,mult(X1,X1))=mult(rd(rd(X0,X2),X1),rd(X2,X1)))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f11,f1789])).
% 149.97/19.48 fof(f4085,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(rd(X0,mult(X1,X1)),rd(X2,X1))=rd(rd(X0,X2),X1))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f3328,f12])).
% 149.97/19.48 fof(f7115,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(rd(X0,mult(X1,X1)),X2)=rd(rd(X0,mult(X2,X1)),X1))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f12,f4085])).
% 149.97/19.48 fof(f10827,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(rd(mult(mult(X0,mult(X0,X0)),mult(X1,X2)),mult(X2,X2)),mult(X0,X0))=rd(mult(X0,X1),X2))),
% 149.97/19.48 inference(paramodulation,[status(thm)],[f50,f7115])).
% 149.97/19.48 fof(f10986,plain,(
% 149.97/19.48 ![X0,X1,X2]: (rd(mult(rd(mult(X0,mult(X0,X0)),X1),rd(mult(X2,X1),X1)),mult(X0,X0))=rd(mult(X0,X2),X1))),
% 149.97/19.48 inference(forward_demodulation,[status(thm)],[f1789,f10827])).
% 149.97/19.48 fof(f10987,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(rd(rd(mult(X0,mult(X0,X0)),X1),X0),rd(rd(mult(X2,X1),X1),X0))=rd(mult(X0,X2),X1))),
% 149.97/19.48 inference(forward_demodulation,[status(thm)],[f1789,f10986])).
% 149.97/19.48 fof(f10988,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(rd(mult(rd(X0,rd(X1,X0)),X0),X0),rd(rd(mult(X2,X1),X1),X0))=rd(mult(X0,X2),X1))),
% 149.97/19.48 inference(forward_demodulation,[status(thm)],[f1729,f10987])).
% 149.97/19.48 fof(f10989,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(rd(X0,rd(X1,X0)),rd(rd(mult(X2,X1),X1),X0))=rd(mult(X0,X2),X1))),
% 149.97/19.48 inference(forward_demodulation,[status(thm)],[f12,f10988])).
% 149.97/19.48 fof(f10990,plain,(
% 149.97/19.48 ![X0,X1,X2]: (mult(rd(X0,rd(X1,X0)),rd(X2,X0))=rd(mult(X0,X2),X1))),
% 149.97/19.51 inference(forward_demodulation,[status(thm)],[f12,f10989])).
% 149.97/19.51 fof(f11037,plain,(
% 149.97/19.51 ![X0,X1,X2]: (mult(rd(X0,rd(X1,X0)),X2)=rd(mult(X0,mult(X2,X0)),X1))),
% 149.97/19.51 inference(paramodulation,[status(thm)],[f12,f10990])).
% 149.97/19.51 fof(f21338,plain,(
% 149.97/19.51 ![X0,X1,X2]: (mult(rd(X0,rd(mult(X1,X0),X0)),X2)=mult(rd(mult(rd(X0,X0),X2),X1),X0))),
% 149.97/19.51 inference(paramodulation,[status(thm)],[f11037,f1695])).
% 149.97/19.51 fof(f21574,plain,(
% 149.97/19.51 ![X0,X1,X2]: (mult(rd(X0,X1),X2)=mult(rd(mult(rd(X0,X0),X2),X1),X0))),
% 149.97/19.51 inference(forward_demodulation,[status(thm)],[f12,f21338])).
% 149.97/19.51 fof(f22667,plain,(
% 149.97/19.51 ![X0,X1,X2]: (mult(mult(rd(X0,X1),X2),mult(X1,X1))=mult(mult(rd(X0,X0),X2),mult(X0,X1)))),
% 149.97/19.51 inference(paramodulation,[status(thm)],[f21574,f119])).
% 149.97/19.51 fof(f22771,plain,(
% 149.97/19.51 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(mult(rd(X0,X0),X1),mult(X0,X2)))),
% 149.97/19.51 inference(forward_demodulation,[status(thm)],[f119,f22667])).
% 149.97/19.51 fof(f22829,plain,(
% 149.97/19.51 ~mult(a,mult(b,c))=mult(a,mult(b,c))),
% 149.97/19.51 inference(backward_demodulation,[status(thm)],[f22771,f16])).
% 149.97/19.51 fof(f23052,plain,(
% 149.97/19.51 $false),
% 149.97/19.51 inference(trivial_equality_resolution,[status(thm)],[f22829])).
% 149.97/19.51 % SZS output end CNFRefutation for theBenchmark.p
% 53.63/19.64 % Elapsed time: 19.184690 seconds
% 53.63/19.64 % CPU time: 151.464241 seconds
% 53.63/19.64 % Total memory used: 612.222 MB
% 53.63/19.64 % Net memory used: 600.872 MB
%------------------------------------------------------------------------------