%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 01:11:19 PM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 01:09:58 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (! [A,B,C] : '+'('+'(A,B),C) = '+'(A,'+'(B,C)) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 (! [A,B] : '+'(A,B) = '+'(B,A) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f7,axiom,(
% 0.15/0.40 (! [A,B,C] : '==>'('+'(A,B),C) = '==>'(A,'==>'(B,C)) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f8,axiom,(
% 0.15/0.40 (! [A,B] : '+'(A,'==>'(A,B)) = '+'(B,'==>'(B,A)) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f9,conjecture,(
% 0.15/0.40 '+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) = '+'(a,'==>'(a,'+'(b,'==>'(b,c)))) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f10,negated_conjecture,(
% 0.15/0.40 ~('+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) = '+'(a,'==>'(a,'+'(b,'==>'(b,c)))) )),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f9])).
% 0.15/0.40 fof(f11,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X0,'+'(X1,X2)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.40 fof(f12,plain,(
% 0.15/0.40 ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.40 fof(f17,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('==>'('+'(X0,X1),X2)='==>'(X0,'==>'(X1,X2)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.40 fof(f18,plain,(
% 0.15/0.40 ![X0,X1]: ('+'(X0,'==>'(X0,X1))='+'(X1,'==>'(X1,X0)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.40 fof(f19,plain,(
% 0.15/0.40 ~'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c))='+'(a,'==>'(a,'+'(b,'==>'(b,c))))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.40 fof(f30,plain,(
% 0.15/0.40 ~'+'(a,'+'('==>'(a,b),'==>'('+'(a,'==>'(a,b)),c)))='+'(a,'==>'(a,'+'(b,'==>'(b,c))))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f11,f19])).
% 0.15/0.40 fof(f31,plain,(
% 0.15/0.40 ~'+'(a,'+'('==>'(a,b),'==>'(a,'==>'('==>'(a,b),c))))='+'(a,'==>'(a,'+'(b,'==>'(b,c))))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f17,f30])).
% 0.15/0.40 fof(f46,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('==>'('+'(X0,X1),X2)='==>'(X1,'==>'(X0,X2)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f12,f17])).
% 0.15/0.40 fof(f57,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'(X0,'+'(X1,'==>'('+'(X0,X1),X2)))='+'(X2,'==>'(X2,'+'(X0,X1))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f11,f18])).
% 0.15/0.40 fof(f61,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'('+'(X0,X1),'==>'(X0,'==>'(X1,X2)))='+'(X2,'==>'(X2,'+'(X0,X1))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f17,f18])).
% 0.15/0.40 fof(f75,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'(X0,'+'(X1,'==>'(X1,'==>'(X0,X2))))='+'(X2,'==>'(X2,'+'(X0,X1))))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f46,f57])).
% 0.15/0.40 fof(f77,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'(X0,'+'(X1,'==>'(X0,'==>'(X1,X2))))='+'(X2,'==>'(X2,'+'(X0,X1))))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f11,f61])).
% 0.15/0.40 fof(f211,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'(X0,'+'('==>'(X0,X1),'==>'('==>'(X0,X1),X2)))='+'(X1,'==>'(X1,'+'(X0,X2))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f18,f75])).
% 0.15/0.40 fof(f230,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'(X0,'+'('==>'(X0,X1),'==>'('==>'(X0,X1),'==>'(X0,X2))))='+'(X2,'==>'(X2,'+'(X1,'==>'(X1,X0)))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f18,f75])).
% 0.15/0.40 fof(f286,plain,(
% 0.15/0.40 ![X0,X1,X2]: ('+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2))))='+'(X2,'==>'(X2,'+'(X0,'==>'(X0,X1)))))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f211,f230])).
% 0.15/0.40 fof(f426,plain,(
% 0.15/0.40 ~'+'(c,'==>'(c,'+'(a,'==>'(a,b))))='+'(a,'==>'(a,'+'(b,'==>'(b,c))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f77,f31])).
% 0.15/0.40 fof(f500,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f426,f286])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.038033 seconds
% 0.15/0.42 % CPU time: 0.163441 seconds
% 0.15/0.42 % Total memory used: 5.438 MB
% 0.15/0.42 % Net memory used: 5.392 MB
%------------------------------------------------------------------------------