%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL899+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 : n017.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 0.22s 10.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL899+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/10.44 % Computer : n017.cluster.edu
% 0.18/10.44 % Model : x86_64 x86_64
% 0.18/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.44 % Memory : 8046.5625MB
% 0.18/10.44 % OS : Linux 6.8.0-71-generic
% 0.18/10.44 % CPULimit : 300
% 0.18/10.44 % WCLimit : 300
% 0.18/10.44 % DateTime : Mon Sep 21 01:05:54 UTC 2026
% 0.18/10.45 % CPUTime :
% 0.18/10.46 % Drodi V4.1.1
% 0.22/10.50 % Refutation found
% 0.22/10.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/10.50 % SZS output start CNFRefutation for theBenchmark
% 0.22/10.50 fof(f2,axiom,(
% 0.22/10.50 (! [A,B] : '+'(A,B) = '+'(B,A) )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f3,axiom,(
% 0.22/10.50 (! [A] : '+'(A,'0') = A )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f4,axiom,(
% 0.22/10.50 (! [A] : '>='(A,A) )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f6,axiom,(
% 0.22/10.50 (! [X3,X4] :( ( '>='(X3,X4)& '>='(X4,X3) )=> X3 = X4 ) )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f7,axiom,(
% 0.22/10.50 (! [X5,X6,X7] :( '>='('+'(X5,X6),X7)<=> '>='(X6,'==>'(X5,X7)) ) )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f8,axiom,(
% 0.22/10.50 (! [A] : '>='(A,'0') )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f9,axiom,(
% 0.22/10.50 (! [X8,X9,X10] :( '>='(X8,X9)=> '>='('+'(X8,X10),'+'(X9,X10)) ) )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f12,axiom,(
% 0.22/10.50 (! [A] : '+'(A,'1') = '1' )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f13,axiom,(
% 0.22/10.50 (! [A,B] : '==>'('==>'(A,B),B) = '==>'('==>'(B,A),A) )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f14,conjecture,(
% 0.22/10.50 (! [X17] : '==>'('==>'(X17,'1'),'1') = X17 )),
% 0.22/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/10.50 fof(f15,negated_conjecture,(
% 0.22/10.50 ~((! [X17] : '==>'('==>'(X17,'1'),'1') = X17 ))),
% 0.22/10.50 inference(negated_conjecture,[status(cth)],[f14])).
% 0.22/10.50 fof(f17,plain,(
% 0.22/10.50 ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/10.50 fof(f18,plain,(
% 0.22/10.50 ![X0]: ('+'(X0,'0')=X0)),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/10.50 fof(f19,plain,(
% 0.22/10.50 ![X0]: ('>='(X0,X0))),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/10.50 fof(f23,plain,(
% 0.22/10.50 ![X3,X4]: ((~'>='(X3,X4)|~'>='(X4,X3))|X3=X4)),
% 0.22/10.50 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.22/10.50 fof(f24,plain,(
% 0.22/10.50 ![X0,X1]: (~'>='(X0,X1)|~'>='(X1,X0)|X0=X1)),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f23])).
% 0.22/10.50 fof(f25,plain,(
% 0.22/10.50 ![X5,X6,X7]: ((~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7)))&('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 0.22/10.50 inference(NNF_transformation,[status(thm)],[f7])).
% 0.22/10.50 fof(f26,plain,(
% 0.22/10.50 (![X5,X6,X7]: (~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7))))&(![X5,X6,X7]: ('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 0.22/10.50 inference(miniscoping,[status(thm)],[f25])).
% 0.22/10.50 fof(f27,plain,(
% 0.22/10.50 ![X0,X1,X2]: (~'>='('+'(X0,X1),X2)|'>='(X1,'==>'(X0,X2)))),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f26])).
% 0.22/10.50 fof(f28,plain,(
% 0.22/10.50 ![X0,X1,X2]: ('>='('+'(X0,X1),X2)|~'>='(X1,'==>'(X0,X2)))),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f26])).
% 0.22/10.50 fof(f29,plain,(
% 0.22/10.50 ![X0]: ('>='(X0,'0'))),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.22/10.50 fof(f30,plain,(
% 0.22/10.50 ![X8,X9,X10]: (~'>='(X8,X9)|'>='('+'(X8,X10),'+'(X9,X10)))),
% 0.22/10.50 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.22/10.50 fof(f31,plain,(
% 0.22/10.50 ![X8,X9]: (~'>='(X8,X9)|(![X10]: '>='('+'(X8,X10),'+'(X9,X10))))),
% 0.22/10.50 inference(miniscoping,[status(thm)],[f30])).
% 0.22/10.50 fof(f32,plain,(
% 0.22/10.50 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X0,X2),'+'(X1,X2)))),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f31])).
% 0.22/10.50 fof(f39,plain,(
% 0.22/10.50 ![X0]: ('+'(X0,'1')='1')),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.22/10.50 fof(f40,plain,(
% 0.22/10.50 ![X0,X1]: ('==>'('==>'(X0,X1),X1)='==>'('==>'(X1,X0),X0))),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f13])).
% 0.22/10.50 fof(f41,plain,(
% 0.22/10.50 (?[X17]: ~'==>'('==>'(X17,'1'),'1')=X17)),
% 0.22/10.50 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.22/10.50 fof(f42,plain,(
% 0.22/10.50 ~'==>'('==>'(sK0_skl,'1'),'1')=sK0_skl),
% 0.22/10.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X17,sK0_skl)],[f41])).
% 0.22/10.50 fof(f43,plain,(
% 0.22/10.50 ~'==>'('==>'(sK0_skl,'1'),'1')=sK0_skl),
% 0.22/10.50 inference(cnf_transformation,[status(thm)],[f42])).
% 0.22/10.50 fof(f58,plain,(
% 0.22/10.50 ![X0]: ('+'('0',X0)=X0)),
% 0.22/10.50 inference(paramodulation,[status(thm)],[f17,f18])).
% 0.22/10.50 fof(f78,plain,(
% 0.22/10.50 ![X0]: (~'>='('0',X0)|X0='0')),
% 0.22/10.50 inference(resolution,[status(thm)],[f24,f29])).
% 0.22/10.50 fof(f85,plain,(
% 0.22/10.50 ![X0]: ('+'('1',X0)='1')),
% 0.22/10.50 inference(paramodulation,[status(thm)],[f17,f39])).
% 0.22/10.50 fof(f110,plain,(
% 0.22/10.50 ![X0,X1]: (~'>='('1',X0)|'>='(X1,'==>'('1',X0)))),
% 0.22/10.50 inference(paramodulation,[status(thm)],[f85,f27])).
% 0.22/10.50 fof(f115,plain,(
% 0.22/10.50 ![X0,X1]: ('>='('+'(X0,'==>'(X0,X1)),X1))),
% 0.22/10.50 inference(resolution,[status(thm)],[f28,f19])).
% 0.22/10.50 fof(f118,plain,(
% 0.22/10.50 ![X0,X1]: ('>='('+'(X0,X1),'+'('0',X1)))),
% 0.22/10.50 inference(resolution,[status(thm)],[f32,f29])).
% 0.22/10.50 fof(f120,plain,(
% 0.22/10.50 ![X0,X1]: ('>='('+'(X0,X1),X1))),
% 0.22/10.50 inference(forward_demodulation,[status(thm)],[f58,f118])).
% 0.22/10.50 fof(f121,plain,(
% 0.22/10.50 ![X0,X1]: ('>='(X0,'==>'(X1,X0)))),
% 0.22/10.50 inference(resolution,[status(thm)],[f120,f27])).
% 0.22/10.50 fof(f128,plain,(
% 0.22/10.50 ![X0]: ('>='('1',X0))),
% 0.22/10.50 inference(paramodulation,[status(thm)],[f85,f120])).
% 0.22/10.50 fof(f136,plain,(
% 0.22/10.50 ![X0,X1]: ('>='(X0,'==>'('1',X1)))),
% 0.22/10.50 inference(backward_subsumption_resolution,[status(thm)],[f110,f128])).
% 0.22/10.50 fof(f377,plain,(
% 0.22/10.50 ![X0]: ('==>'('1',X0)='0')),
% 0.22/10.50 inference(resolution,[status(thm)],[f136,f78])).
% 0.22/10.50 fof(f443,plain,(
% 0.22/10.50 ![X0]: ('==>'('==>'(X0,'1'),'1')='==>'('0',X0))),
% 0.22/10.50 inference(paramodulation,[status(thm)],[f377,f40])).
% 0.22/10.50 fof(f447,plain,(
% 0.22/10.50 ~'==>'('0',sK0_skl)=sK0_skl),
% 0.22/10.50 inference(backward_demodulation,[status(thm)],[f443,f43])).
% 0.22/10.50 fof(f519,plain,(
% 0.22/10.50 ![X0]: ('>='('==>'('0',X0),X0))),
% 0.22/10.50 inference(paramodulation,[status(thm)],[f58,f115])).
% 0.22/10.50 fof(f560,plain,(
% 0.22/10.50 ![X0]: (~'>='(X0,'==>'('0',X0))|X0='==>'('0',X0))),
% 0.22/10.50 inference(resolution,[status(thm)],[f519,f24])).
% 0.22/10.50 fof(f568,plain,(
% 0.22/10.50 ~sK0_skl=sK0_skl),
% 0.22/10.50 inference(backward_demodulation,[status(thm)],[f578,f447])).
% 0.22/10.50 fof(f578,plain,(
% 0.22/10.50 ![X0]: (X0='==>'('0',X0))),
% 0.22/10.50 inference(forward_subsumption_resolution,[status(thm)],[f560,f121])).
% 0.22/10.50 fof(f580,plain,(
% 0.22/10.50 $false),
% 0.22/10.50 inference(trivial_equality_resolution,[status(thm)],[f568])).
% 0.22/10.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/10.53 % Elapsed time: 0.078855 seconds
% 0.22/10.53 % CPU time: 0.289123 seconds
% 0.22/10.53 % Total memory used: 68.278 MB
% 0.22/10.53 % Net memory used: 67.877 MB
%------------------------------------------------------------------------------