TSTP Solution File: LCL205-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL205-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:18:39 EDT 2023
% Result : Unsatisfiable 18.30s 2.77s
% Output : CNFRefutation 18.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL205-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:41:16 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 18.30/2.77 % Refutation found
% 18.30/2.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.30/2.77 % SZS output start CNFRefutation for theBenchmark
% 18.30/2.77 fof(f1,axiom,(
% 18.30/2.77 (![A]: (axiom(implies(or(A,A),A)) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f2,axiom,(
% 18.30/2.77 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f3,axiom,(
% 18.30/2.77 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f4,axiom,(
% 18.30/2.77 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f5,axiom,(
% 18.30/2.77 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f6,axiom,(
% 18.30/2.77 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f7,axiom,(
% 18.30/2.77 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f8,axiom,(
% 18.30/2.77 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f9,negated_conjecture,(
% 18.30/2.77 ~ theorem(implies(not(implies(p,q)),implies(p,not(q)))) ),
% 18.30/2.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.30/2.77 fof(f10,plain,(
% 18.30/2.77 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f1])).
% 18.30/2.77 fof(f11,plain,(
% 18.30/2.77 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f2])).
% 18.30/2.77 fof(f12,plain,(
% 18.30/2.77 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f3])).
% 18.30/2.77 fof(f13,plain,(
% 18.30/2.77 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f4])).
% 18.30/2.77 fof(f14,plain,(
% 18.30/2.77 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f5])).
% 18.30/2.77 fof(f15,plain,(
% 18.30/2.77 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f6])).
% 18.30/2.77 fof(f16,plain,(
% 18.30/2.77 ![X0]: (theorem(X0)|~axiom(X0))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f7])).
% 18.30/2.77 fof(f17,plain,(
% 18.30/2.77 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 18.30/2.77 inference(miniscoping,[status(esa)],[f8])).
% 18.30/2.77 fof(f18,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f17])).
% 18.30/2.77 fof(f19,plain,(
% 18.30/2.77 ~theorem(implies(not(implies(p,q)),implies(p,not(q))))),
% 18.30/2.77 inference(cnf_transformation,[status(esa)],[f9])).
% 18.30/2.77 fof(f20,plain,(
% 18.30/2.77 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f10,f16])).
% 18.30/2.77 fof(f22,plain,(
% 18.30/2.77 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f20,f18])).
% 18.30/2.77 fof(f23,plain,(
% 18.30/2.77 ![X0]: (theorem(implies(implies(X0,not(X0)),not(X0))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f20])).
% 18.30/2.77 fof(f27,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 18.30/2.77 inference(resolution,[status(thm)],[f11,f16])).
% 18.30/2.77 fof(f29,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 18.30/2.77 inference(resolution,[status(thm)],[f27,f18])).
% 18.30/2.77 fof(f30,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f27])).
% 18.30/2.77 fof(f38,plain,(
% 18.30/2.77 spl0_1 <=> ~theorem(X1)),
% 18.30/2.77 introduced(split_symbol_definition)).
% 18.30/2.77 fof(f39,plain,(
% 18.30/2.77 ![X0]: (~theorem(X0)|~spl0_1)),
% 18.30/2.77 inference(component_clause,[status(thm)],[f38])).
% 18.30/2.77 fof(f46,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 18.30/2.77 inference(resolution,[status(thm)],[f12,f16])).
% 18.30/2.77 fof(f47,plain,(
% 18.30/2.77 ![X0,X1]: (axiom(implies(implies(X0,X1),or(X1,not(X0)))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f12])).
% 18.30/2.77 fof(f49,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f46,f18])).
% 18.30/2.77 fof(f50,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f46])).
% 18.30/2.77 fof(f52,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X0))),
% 18.30/2.77 inference(resolution,[status(thm)],[f49,f29])).
% 18.30/2.77 fof(f53,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f49])).
% 18.30/2.77 fof(f55,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(not(X0)))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f52])).
% 18.30/2.77 fof(f58,plain,(
% 18.30/2.77 ![X0,X1]: (axiom(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f47])).
% 18.30/2.77 fof(f62,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f50])).
% 18.30/2.77 fof(f67,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f53])).
% 18.30/2.77 fof(f69,plain,(
% 18.30/2.77 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f13])).
% 18.30/2.77 fof(f70,plain,(
% 18.30/2.77 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 18.30/2.77 inference(forward_demodulation,[status(thm)],[f15,f69])).
% 18.30/2.77 fof(f77,plain,(
% 18.30/2.77 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 18.30/2.77 inference(resolution,[status(thm)],[f14,f16])).
% 18.30/2.77 fof(f78,plain,(
% 18.30/2.77 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 18.30/2.77 inference(paramodulation,[status(thm)],[f15,f14])).
% 18.30/2.77 fof(f79,plain,(
% 18.30/2.77 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 18.30/2.77 inference(forward_demodulation,[status(thm)],[f15,f78])).
% 18.30/2.77 fof(f102,plain,(
% 18.30/2.77 ![X0]: (theorem(implies(X0,not(implies(X0,not(X0))))))),
% 18.30/2.77 inference(resolution,[status(thm)],[f67,f23])).
% 18.30/2.77 fof(f107,plain,(
% 18.30/2.77 ![X0]: (theorem(not(implies(X0,not(X0))))|~theorem(X0))),
% 18.30/2.77 inference(resolution,[status(thm)],[f102,f18])).
% 18.30/2.77 fof(f108,plain,(
% 18.30/2.77 ![X0,X1]: (~theorem(X0)|theorem(implies(implies(X0,not(X0)),X1)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f107,f55])).
% 18.30/2.77 fof(f109,plain,(
% 18.30/2.77 ![X0,X1]: (~theorem(X0)|theorem(implies(X1,not(implies(X0,not(X0))))))),
% 18.30/2.77 inference(resolution,[status(thm)],[f108,f67])).
% 18.30/2.77 fof(f131,plain,(
% 18.30/2.77 spl0_4 <=> ~theorem(X0)|theorem(not(implies(X0,not(X0))))),
% 18.30/2.77 introduced(split_symbol_definition)).
% 18.30/2.77 fof(f132,plain,(
% 18.30/2.77 ![X0]: (~theorem(X0)|theorem(not(implies(X0,not(X0))))|~spl0_4)),
% 18.30/2.77 inference(component_clause,[status(thm)],[f131])).
% 18.30/2.77 fof(f134,plain,(
% 18.30/2.77 ![X0,X1]: (~theorem(X0)|theorem(not(implies(X0,not(X0))))|~theorem(X1))),
% 18.30/2.77 inference(resolution,[status(thm)],[f109,f18])).
% 18.30/2.77 fof(f135,plain,(
% 18.30/2.77 spl0_4|spl0_1),
% 18.30/2.77 inference(split_clause,[status(thm)],[f134,f131,f38])).
% 18.30/2.77 fof(f137,plain,(
% 18.30/2.77 $false|~spl0_1),
% 18.30/2.77 inference(backward_subsumption_resolution,[status(thm)],[f62,f39])).
% 18.30/2.77 fof(f138,plain,(
% 18.30/2.77 ~spl0_1),
% 18.30/2.77 inference(contradiction_clause,[status(thm)],[f137])).
% 18.30/2.77 fof(f145,plain,(
% 18.30/2.77 ![X0]: (~axiom(X0)|theorem(not(implies(X0,not(X0))))|~spl0_4)),
% 18.30/2.77 inference(resolution,[status(thm)],[f16,f132])).
% 18.30/2.77 fof(f153,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f18,f16])).
% 18.30/2.77 fof(f188,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(implies(X0,not(X0)),X1))|~axiom(X0)|~spl0_4)),
% 18.30/2.77 inference(resolution,[status(thm)],[f55,f145])).
% 18.30/2.77 fof(f200,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(X0)|~axiom(implies(implies(or(X1,X1),X1),X0)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f153,f20])).
% 18.30/2.77 fof(f201,plain,(
% 18.30/2.77 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(implies(X1,or(X2,X1)),X0)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f153,f27])).
% 18.30/2.77 fof(f202,plain,(
% 18.30/2.77 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(implies(X1,implies(X2,X1)),X0)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f153,f30])).
% 18.30/2.77 fof(f287,plain,(
% 18.30/2.77 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f77,f18])).
% 18.30/2.77 fof(f303,plain,(
% 18.30/2.77 ![X0,X1,X2]: (~axiom(X0)|theorem(X1)|~axiom(implies(implies(implies(X0,not(X0)),X2),X1))|~spl0_4)),
% 18.30/2.77 inference(resolution,[status(thm)],[f188,f153])).
% 18.30/2.77 fof(f439,plain,(
% 18.30/2.77 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 18.30/2.77 inference(resolution,[status(thm)],[f153,f58])).
% 18.30/2.77 fof(f441,plain,(
% 18.30/2.77 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 18.30/2.77 inference(resolution,[status(thm)],[f153,f79])).
% 18.93/2.78 fof(f773,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))))),
% 18.93/2.78 inference(resolution,[status(thm)],[f200,f79])).
% 18.93/2.78 fof(f787,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(or(X0,implies(X1,X1))))),
% 18.93/2.78 inference(resolution,[status(thm)],[f201,f70])).
% 18.93/2.78 fof(f792,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(or(X0,implies(X1,or(X2,X1)))))),
% 18.93/2.78 inference(resolution,[status(thm)],[f201,f11])).
% 18.93/2.78 fof(f877,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(or(X0,implies(X1,implies(X2,X1)))))),
% 18.93/2.78 inference(paramodulation,[status(thm)],[f15,f792])).
% 18.93/2.78 fof(f923,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))))),
% 18.93/2.78 inference(resolution,[status(thm)],[f202,f79])).
% 18.93/2.78 fof(f924,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,implies(X2,X1)))))),
% 18.93/2.78 inference(resolution,[status(thm)],[f202,f14])).
% 18.93/2.78 fof(f1012,plain,(
% 18.93/2.78 ![X0,X1,X2]: (~axiom(X0)|theorem(implies(or(X1,implies(X0,not(X0))),or(X1,X2)))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f303,f14])).
% 18.93/2.78 fof(f1158,plain,(
% 18.93/2.78 ![X0,X1,X2]: (~axiom(X0)|theorem(or(X1,X2))|~theorem(or(X1,implies(X0,not(X0))))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f1012,f18])).
% 18.93/2.78 fof(f1184,plain,(
% 18.93/2.78 ![X0,X1]: (~axiom(X0)|~theorem(or(X1,implies(X0,not(X0))))|theorem(X1)|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f1158,f22])).
% 18.93/2.78 fof(f1300,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(implies(X0,or(X1,X1))))),
% 18.93/2.78 inference(resolution,[status(thm)],[f773,f18])).
% 18.93/2.78 fof(f1320,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X0,X2)))),
% 18.93/2.78 inference(resolution,[status(thm)],[f923,f18])).
% 18.93/2.78 fof(f1321,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(or(X0,X2)))),
% 18.93/2.78 inference(resolution,[status(thm)],[f924,f18])).
% 18.93/2.78 fof(f1388,plain,(
% 18.93/2.78 ![X0,X1]: (~theorem(implies(X0,or(X1,X1)))|theorem(X1)|~theorem(X0))),
% 18.93/2.78 inference(resolution,[status(thm)],[f1300,f18])).
% 18.93/2.78 fof(f2536,plain,(
% 18.93/2.78 ~theorem(implies(not(implies(p,q)),not(q)))),
% 18.93/2.78 inference(resolution,[status(thm)],[f1320,f19])).
% 18.93/2.78 fof(f2550,plain,(
% 18.93/2.78 ![X0,X1]: (~theorem(or(X0,not(X1)))|~axiom(X1)|theorem(X0)|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f1321,f1184])).
% 18.93/2.78 fof(f2759,plain,(
% 18.93/2.78 ![X0,X1]: (~theorem(or(X0,not(implies(or(X1,X1),X1))))|theorem(X0)|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f2550,f10])).
% 18.93/2.78 fof(f2949,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(X0)|~theorem(implies(implies(or(X1,X1),X1),X0))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f2759,f53])).
% 18.93/2.78 fof(f2975,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(implies(or(X0,X0),X1))|~theorem(implies(X0,X1))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f2949,f441])).
% 18.93/2.78 fof(f3057,plain,(
% 18.93/2.78 ![X0,X1]: (~theorem(implies(X0,X1))|theorem(X1)|~theorem(or(X0,X0))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f2975,f18])).
% 18.93/2.78 fof(f3214,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(X0)|~theorem(or(X0,X1))|~theorem(implies(X1,X0)))),
% 18.93/2.78 inference(resolution,[status(thm)],[f1388,f287])).
% 18.93/2.78 fof(f3617,plain,(
% 18.93/2.78 ![X0,X1]: (~theorem(implies(implies(X0,X0),X1))|theorem(X1)|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f3057,f787])).
% 18.93/2.78 fof(f3635,plain,(
% 18.93/2.78 ![X0]: (theorem(or(X0,not(X0)))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f3617,f50])).
% 18.93/2.78 fof(f3677,plain,(
% 18.93/2.78 ![X0]: (theorem(implies(X0,not(not(X0))))|~spl0_4)),
% 18.93/2.78 inference(paramodulation,[status(thm)],[f15,f3635])).
% 18.93/2.78 fof(f5554,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(X0)|~theorem(implies(implies(X1,implies(X2,X1)),X0)))),
% 18.93/2.78 inference(resolution,[status(thm)],[f3214,f877])).
% 18.93/2.78 fof(f6769,plain,(
% 18.93/2.78 ![X0,X1,X2]: (theorem(implies(X0,X1))|~theorem(implies(implies(X2,X0),X1)))),
% 18.93/2.78 inference(resolution,[status(thm)],[f5554,f441])).
% 18.93/2.78 fof(f8785,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(implies(X0,not(not(implies(X1,X0)))))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f6769,f3677])).
% 18.93/2.78 fof(f9226,plain,(
% 18.93/2.78 ![X0,X1]: (theorem(implies(not(implies(X0,X1)),not(X1)))|~spl0_4)),
% 18.93/2.78 inference(resolution,[status(thm)],[f8785,f439])).
% 18.93/2.78 fof(f9800,plain,(
% 18.93/2.78 $false|~spl0_4),
% 18.93/2.78 inference(backward_subsumption_resolution,[status(thm)],[f2536,f9226])).
% 18.93/2.78 fof(f9801,plain,(
% 18.93/2.78 ~spl0_4),
% 18.93/2.78 inference(contradiction_clause,[status(thm)],[f9800])).
% 18.93/2.78 fof(f9802,plain,(
% 18.93/2.78 $false),
% 18.93/2.80 inference(sat_refutation,[status(thm)],[f135,f138,f9801])).
% 18.93/2.80 % SZS output end CNFRefutation for theBenchmark.p
% 18.93/2.85 % Elapsed time: 2.521451 seconds
% 18.93/2.85 % CPU time: 19.232088 seconds
% 18.93/2.85 % Memory used: 215.092 MB
%------------------------------------------------------------------------------