%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP754-1 : 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 : n010.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 10.52s 6.86s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP754-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n010.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sun Sep 20 20:38:16 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.46 % Drodi V4.1.1
% 10.52/6.86 % Refutation found
% 10.52/6.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.52/6.86 % SZS output start CNFRefutation for theBenchmark
% 10.52/6.86 fof(f1,axiom,(
% 10.52/6.86 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 10.52/6.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.52/6.86 fof(f2,axiom,(
% 10.52/6.86 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 10.52/6.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.52/6.86 fof(f3,axiom,(
% 10.52/6.86 (![A,B]: (mult(rd(A,B),B) = A ))),
% 10.52/6.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.52/6.86 fof(f4,axiom,(
% 10.52/6.86 (![A,B]: (rd(mult(A,B),B) = A ))),
% 10.52/6.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.52/6.86 fof(f5,axiom,(
% 10.52/6.86 (![A,B,C]: (mult(A,mult(B,C)) = mult(mult(rd(A,A),B),mult(A,C)) ))),
% 10.52/6.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.52/6.86 fof(f6,axiom,(
% 10.52/6.86 (![A,B,C]: (mult(mult(A,B),C) = mult(mult(A,C),mult(B,ld(C,C))) ))),
% 10.52/6.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.52/6.86 fof(f7,negated_conjecture,(
% 10.52/6.86 mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)) ),
% 10.52/6.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.52/6.86 fof(f8,plain,(
% 10.52/6.86 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 10.52/6.86 inference(cnf_transformation,[status(thm)],[f1])).
% 10.52/6.86 fof(f9,plain,(
% 10.52/6.86 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 10.52/6.86 inference(cnf_transformation,[status(thm)],[f2])).
% 10.52/6.86 fof(f10,plain,(
% 10.52/6.86 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 10.52/6.86 inference(cnf_transformation,[status(thm)],[f3])).
% 10.52/6.86 fof(f11,plain,(
% 10.52/6.86 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 10.52/6.86 inference(cnf_transformation,[status(thm)],[f4])).
% 10.52/6.86 fof(f12,plain,(
% 10.52/6.86 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(mult(rd(X0,X0),X1),mult(X0,X2)))),
% 10.52/6.86 inference(cnf_transformation,[status(thm)],[f5])).
% 10.52/6.86 fof(f13,plain,(
% 10.52/6.86 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(X0,X2),mult(X1,ld(X2,X2))))),
% 10.52/6.86 inference(cnf_transformation,[status(thm)],[f6])).
% 10.52/6.86 fof(f14,plain,(
% 10.52/6.86 ~mult(mult(a,a),mult(b,c))=mult(mult(a,b),mult(a,c))),
% 10.52/6.86 inference(cnf_transformation,[status(thm)],[f7])).
% 10.52/6.86 fof(f24,plain,(
% 10.52/6.86 ![X0,X1]: (ld(rd(X0,X1),X0)=X1)),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f10,f9])).
% 10.52/6.86 fof(f26,plain,(
% 10.52/6.86 ![X0,X1]: (rd(X0,ld(X1,X0))=X1)),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f8,f11])).
% 10.52/6.86 fof(f34,plain,(
% 10.52/6.86 ![X0,X1,X2]: (mult(X0,mult(X1,ld(X0,X2)))=mult(mult(rd(X0,X0),X1),X2))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f8,f12])).
% 10.52/6.86 fof(f35,plain,(
% 10.52/6.86 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(X0,X2))=mult(rd(X0,X0),X1))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f12,f11])).
% 10.52/6.86 fof(f47,plain,(
% 10.52/6.86 ![X0,X1,X2]: (mult(mult(rd(X0,X1),X2),X1)=mult(X0,mult(X2,ld(X1,X1))))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f10,f13])).
% 10.52/6.86 fof(f52,plain,(
% 10.52/6.86 ![X0,X1,X2]: (ld(mult(X0,X1),mult(mult(X0,X2),X1))=mult(X2,ld(X1,X1)))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f13,f9])).
% 10.52/6.86 fof(f93,plain,(
% 10.52/6.86 ![X0,X1,X2]: (rd(mult(X0,X1),mult(X0,X2))=mult(rd(X0,X0),rd(X1,X2)))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f10,f35])).
% 10.52/6.86 fof(f133,plain,(
% 10.52/6.86 ![X0,X1,X2]: (ld(mult(rd(X0,X0),rd(X1,X2)),mult(X0,X1))=mult(X0,X2))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f93,f24])).
% 10.52/6.86 fof(f159,plain,(
% 10.52/6.86 ![X0,X1,X2]: (ld(mult(rd(X0,X0),X1),mult(X0,X2))=mult(X0,ld(X1,X2)))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f26,f133])).
% 10.52/6.86 fof(f187,plain,(
% 10.52/6.86 ![X0,X1,X2,X3]: (mult(mult(mult(rd(X0,X0),rd(X1,X2)),X3),mult(X0,X2))=mult(mult(X0,X1),mult(X3,ld(mult(X0,X2),mult(X0,X2)))))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f93,f47])).
% 10.52/6.86 fof(f198,plain,(
% 10.52/6.86 ![X0,X1,X2,X3]: (mult(mult(X0,mult(rd(X1,X2),ld(X0,X3))),mult(X0,X2))=mult(mult(X0,X1),mult(X3,ld(mult(X0,X2),mult(X0,X2)))))),
% 10.52/6.86 inference(forward_demodulation,[status(thm)],[f34,f187])).
% 10.52/6.86 fof(f841,plain,(
% 10.52/6.86 ![X0,X1,X2]: (ld(mult(rd(X0,X0),X1),mult(X0,mult(X2,ld(X0,X1))))=mult(X2,ld(X1,X1)))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f34,f52])).
% 10.52/6.86 fof(f856,plain,(
% 10.52/6.86 ![X0,X1,X2]: (ld(mult(X0,X1),mult(X2,X1))=mult(ld(X0,X2),ld(X1,X1)))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f8,f52])).
% 10.52/6.86 fof(f866,plain,(
% 10.52/6.86 ![X0,X1,X2]: (mult(X0,ld(X1,mult(X2,ld(X0,X1))))=mult(X2,ld(X1,X1)))),
% 10.52/6.86 inference(forward_demodulation,[status(thm)],[f159,f841])).
% 10.52/6.86 fof(f891,plain,(
% 10.52/6.86 ![X0,X1,X2]: (mult(rd(X0,X1),ld(X0,mult(X2,X1)))=mult(X2,ld(X0,X0)))),
% 10.52/6.86 inference(paramodulation,[status(thm)],[f24,f866])).
% 10.52/6.89 fof(f939,plain,(
% 10.52/6.89 ![X0,X1,X2,X3]: (mult(mult(X0,ld(X1,X2)),X3)=mult(mult(X0,X3),ld(mult(X1,X3),mult(X2,X3))))),
% 10.52/6.89 inference(paramodulation,[status(thm)],[f856,f13])).
% 10.52/6.89 fof(f996,plain,(
% 10.52/6.89 ![X0,X1,X2]: (mult(mult(X0,mult(X1,ld(X0,X0))),mult(X0,X2))=mult(mult(X0,X0),mult(mult(X1,X2),ld(mult(X0,X2),mult(X0,X2)))))),
% 10.52/6.89 inference(paramodulation,[status(thm)],[f891,f198])).
% 10.52/6.89 fof(f1053,plain,(
% 10.52/6.89 ![X0,X1,X2]: (mult(mult(X0,mult(X1,ld(X0,X0))),mult(X0,X2))=mult(mult(X0,X0),mult(mult(X1,ld(X0,X0)),X2)))),
% 10.52/6.89 inference(forward_demodulation,[status(thm)],[f939,f996])).
% 10.52/6.89 fof(f2350,plain,(
% 10.52/6.89 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X0,X2))=mult(mult(X0,X0),mult(mult(rd(X1,ld(X0,X0)),ld(X0,X0)),X2)))),
% 10.52/6.89 inference(paramodulation,[status(thm)],[f10,f1053])).
% 10.52/6.89 fof(f2430,plain,(
% 10.52/6.89 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X0,X2))=mult(mult(X0,X0),mult(X1,X2)))),
% 10.52/6.89 inference(forward_demodulation,[status(thm)],[f10,f2350])).
% 10.52/6.89 fof(f2431,plain,(
% 10.52/6.89 $false),
% 10.52/6.89 inference(backward_subsumption_resolution,[status(thm)],[f14,f2430])).
% 10.52/6.89 % SZS output end CNFRefutation for theBenchmark.p
% 1.71/6.93 % Elapsed time: 1.459776 seconds
% 1.71/6.93 % CPU time: 11.247241 seconds
% 1.71/6.93 % Total memory used: 212.776 MB
% 1.71/6.93 % Net memory used: 210.122 MB
%------------------------------------------------------------------------------