%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL893+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 : n001.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 01:11:18 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:16:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f3,axiom,(
% 0.09/0.38 (! [A] : '+'(A,'0') = A )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f5,axiom,(
% 0.09/0.38 (! [A] : '>='(A,A) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f7,axiom,(
% 0.09/0.38 (! [X3,X4] :( ( '>='(X3,X4)& '>='(X4,X3) )=> X3 = X4 ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f8,axiom,(
% 0.09/0.38 (! [X5,X6,X7] :( '>='('+'(X5,X6),X7)<=> '>='(X6,'==>'(X5,X7)) ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f9,axiom,(
% 0.09/0.38 (! [A] : '>='(A,'0') )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f14,axiom,(
% 0.09/0.38 (! [A] : h(A) = '==>'(h(A),A) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f15,conjecture,(
% 0.09/0.38 (! [X17] :( h(X17) = X17=> X17 = '0' ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f16,negated_conjecture,(
% 0.09/0.38 ~((! [X17] :( h(X17) = X17=> X17 = '0' ) ))),
% 0.09/0.38 inference(negated_conjecture,[status(cth)],[f15])).
% 0.09/0.38 fof(f19,plain,(
% 0.09/0.38 ![X0]: ('+'(X0,'0')=X0)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f21,plain,(
% 0.09/0.38 ![X0]: ('>='(X0,X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.38 fof(f25,plain,(
% 0.09/0.38 ![X3,X4]: ((~'>='(X3,X4)|~'>='(X4,X3))|X3=X4)),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.38 fof(f26,plain,(
% 0.09/0.38 ![X0,X1]: (~'>='(X0,X1)|~'>='(X1,X0)|X0=X1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.38 fof(f27,plain,(
% 0.09/0.38 ![X5,X6,X7]: ((~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7)))&('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f8])).
% 0.09/0.38 fof(f28,plain,(
% 0.09/0.38 (![X5,X6,X7]: (~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7))))&(![X5,X6,X7]: ('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f27])).
% 0.09/0.38 fof(f29,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~'>='('+'(X0,X1),X2)|'>='(X1,'==>'(X0,X2)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.38 fof(f31,plain,(
% 0.09/0.38 ![X0]: ('>='(X0,'0'))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.38 fof(f42,plain,(
% 0.09/0.38 ![X0]: (h(X0)='==>'(h(X0),X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.38 fof(f43,plain,(
% 0.09/0.38 (?[X17]: (h(X17)=X17&~X17='0'))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.09/0.38 fof(f44,plain,(
% 0.09/0.38 (h(sK0_skl)=sK0_skl&~sK0_skl='0')),
% 0.09/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X17,sK0_skl)],[f43])).
% 0.09/0.38 fof(f45,plain,(
% 0.09/0.38 h(sK0_skl)=sK0_skl),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.38 fof(f46,plain,(
% 0.09/0.38 ~sK0_skl='0'),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.38 fof(f47,plain,(
% 0.09/0.38 h(sK0_skl)='==>'(sK0_skl,sK0_skl)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f45,f42])).
% 0.09/0.38 fof(f48,plain,(
% 0.09/0.38 sK0_skl='==>'(sK0_skl,sK0_skl)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f45,f47])).
% 0.09/0.38 fof(f116,plain,(
% 0.09/0.38 ![X0]: (~'>='('0',X0)|'0'=X0)),
% 0.09/0.38 inference(resolution,[status(thm)],[f26,f31])).
% 0.09/0.38 fof(f139,plain,(
% 0.09/0.38 ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X1,X0))))),
% 0.09/0.38 inference(resolution,[status(thm)],[f29,f21])).
% 0.09/0.38 fof(f161,plain,(
% 0.09/0.38 ![X0]: ('0'='==>'(X0,'+'(X0,'0')))),
% 0.09/0.38 inference(resolution,[status(thm)],[f139,f116])).
% 0.09/0.38 fof(f172,plain,(
% 0.09/0.38 ![X0]: ('0'='==>'(X0,X0))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f19,f161])).
% 0.09/0.38 fof(f173,plain,(
% 0.09/0.38 sK0_skl='0'),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f172,f48])).
% 0.09/0.38 fof(f176,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f173,f46])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.042038 seconds
% 0.13/0.41 % CPU time: 0.092609 seconds
% 0.13/0.41 % Total memory used: 12.730 MB
% 0.13/0.41 % Net memory used: 12.695 MB
%------------------------------------------------------------------------------