TSTP Solution File: LCL258-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL258-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:18:52 EDT 2023
% Result : Unsatisfiable 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL258-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 09:59:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.33 % Drodi V3.5.1
% 0.18/0.36 % Refutation found
% 0.18/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.36 fof(f1,axiom,(
% 0.18/0.36 (![A]: (axiom(implies(or(A,A),A)) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f2,axiom,(
% 0.18/0.36 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f3,axiom,(
% 0.18/0.36 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f4,axiom,(
% 0.18/0.36 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f6,axiom,(
% 0.18/0.36 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f7,axiom,(
% 0.18/0.36 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f8,axiom,(
% 0.18/0.36 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f9,negated_conjecture,(
% 0.18/0.36 ~ theorem(implies(p,implies(implies(p,q),q))) ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f10,plain,(
% 0.18/0.36 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.18/0.36 fof(f11,plain,(
% 0.18/0.36 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.18/0.36 fof(f12,plain,(
% 0.18/0.36 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.18/0.36 fof(f13,plain,(
% 0.18/0.36 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.18/0.36 fof(f15,plain,(
% 0.18/0.36 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.18/0.36 fof(f16,plain,(
% 0.18/0.36 ![X0]: (theorem(X0)|~axiom(X0))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.18/0.36 fof(f17,plain,(
% 0.18/0.36 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f8])).
% 0.18/0.36 fof(f18,plain,(
% 0.18/0.36 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.18/0.36 fof(f19,plain,(
% 0.18/0.36 ~theorem(implies(p,implies(implies(p,q),q)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.18/0.36 fof(f20,plain,(
% 0.18/0.36 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 0.18/0.36 inference(resolution,[status(thm)],[f10,f16])).
% 0.18/0.36 fof(f21,plain,(
% 0.18/0.36 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 0.18/0.36 inference(resolution,[status(thm)],[f20,f18])).
% 0.18/0.36 fof(f22,plain,(
% 0.18/0.36 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f11,f16])).
% 0.18/0.36 fof(f23,plain,(
% 0.18/0.36 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 0.18/0.36 inference(resolution,[status(thm)],[f22,f18])).
% 0.18/0.36 fof(f24,plain,(
% 0.18/0.36 ![X0,X1]: (theorem(or(X0,implies(or(X1,X1),X1))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f23,f20])).
% 0.18/0.36 fof(f25,plain,(
% 0.18/0.36 ![X0,X1,X2]: (theorem(or(X0,implies(X1,or(X2,X1)))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f23,f22])).
% 0.18/0.36 fof(f27,plain,(
% 0.18/0.36 ![X0,X1,X2]: (theorem(or(X0,or(X1,implies(or(X2,X2),X2)))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f24,f23])).
% 0.18/0.36 fof(f31,plain,(
% 0.18/0.36 ![X0,X1,X2,X3]: (theorem(or(X0,or(X1,or(X2,implies(or(X3,X3),X3))))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f27,f23])).
% 0.18/0.36 fof(f35,plain,(
% 0.18/0.36 ![X0,X1,X2,X3,X4]: (theorem(or(X0,or(X1,or(X2,or(X3,implies(or(X4,X4),X4)))))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f31,f23])).
% 0.18/0.36 fof(f39,plain,(
% 0.18/0.36 ![X0,X1,X2,X3,X4,X5]: (theorem(or(X0,or(X1,or(X2,or(X3,or(X4,implies(or(X5,X5),X5))))))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f35,f23])).
% 0.18/0.36 fof(f68,plain,(
% 0.18/0.36 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f15,f25])).
% 0.18/0.36 fof(f98,plain,(
% 0.18/0.36 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.18/0.36 inference(resolution,[status(thm)],[f12,f16])).
% 0.18/0.36 fof(f104,plain,(
% 0.18/0.36 spl0_1 <=> ~theorem(X1)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f105,plain,(
% 0.18/0.36 ![X0]: (~theorem(X0)|~spl0_1)),
% 0.18/0.36 inference(component_clause,[status(thm)],[f104])).
% 0.18/0.36 fof(f112,plain,(
% 0.18/0.36 spl0_2 <=> theorem(implies(X0,or(X1,X0)))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f113,plain,(
% 0.18/0.36 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))|~spl0_2)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f112])).
% 0.18/0.37 fof(f115,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X0)))|~theorem(X2))),
% 0.18/0.37 inference(resolution,[status(thm)],[f68,f18])).
% 0.18/0.37 fof(f116,plain,(
% 0.18/0.37 spl0_2|spl0_1),
% 0.18/0.37 inference(split_clause,[status(thm)],[f115,f112,f104])).
% 0.18/0.37 fof(f121,plain,(
% 0.18/0.37 $false|~spl0_1),
% 0.18/0.37 inference(backward_subsumption_resolution,[status(thm)],[f39,f105])).
% 0.18/0.37 fof(f122,plain,(
% 0.18/0.37 ~spl0_1),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f121])).
% 0.18/0.37 fof(f136,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 0.18/0.37 inference(resolution,[status(thm)],[f13,f16])).
% 0.18/0.37 fof(f153,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 0.18/0.37 inference(resolution,[status(thm)],[f98,f18])).
% 0.18/0.37 fof(f157,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f15,f98])).
% 0.18/0.37 fof(f188,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 0.18/0.37 inference(resolution,[status(thm)],[f136,f18])).
% 0.18/0.37 fof(f202,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f15,f153])).
% 0.18/0.37 fof(f228,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 0.18/0.37 inference(resolution,[status(thm)],[f157,f18])).
% 0.18/0.37 fof(f243,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(or(or(X0,X1),not(X1)))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f202,f113])).
% 0.18/0.37 fof(f266,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2))))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f243,f23])).
% 0.18/0.37 fof(f299,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f15,f188])).
% 0.18/0.37 fof(f300,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f15,f299])).
% 0.18/0.37 fof(f367,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1))))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f266,f188])).
% 0.18/0.37 fof(f420,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1)))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f367,f153])).
% 0.18/0.37 fof(f479,plain,(
% 0.18/0.37 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2)))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f420,f188])).
% 0.18/0.37 fof(f505,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f479,f21])).
% 0.18/0.37 fof(f513,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(or(X0,or(X1,not(X0))))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f505,f153])).
% 0.18/0.37 fof(f518,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(or(X0,or(X1,not(X1))))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f513,f188])).
% 0.18/0.37 fof(f533,plain,(
% 0.18/0.37 ![X0]: (theorem(or(X0,not(X0)))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f518,f21])).
% 0.18/0.37 fof(f539,plain,(
% 0.18/0.37 ![X0]: (theorem(implies(X0,X0))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f533,f228])).
% 0.18/0.37 fof(f2099,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1)))|~spl0_2)),
% 0.18/0.37 inference(resolution,[status(thm)],[f300,f539])).
% 0.18/0.37 fof(f2159,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(implies(X0,implies(or(not(X0),X1),X1)))|~spl0_2)),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f15,f2099])).
% 0.18/0.37 fof(f2160,plain,(
% 0.18/0.37 ![X0,X1]: (theorem(implies(X0,implies(implies(X0,X1),X1)))|~spl0_2)),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f15,f2159])).
% 0.18/0.37 fof(f2235,plain,(
% 0.18/0.37 $false|~spl0_2),
% 0.18/0.37 inference(backward_subsumption_resolution,[status(thm)],[f19,f2160])).
% 0.18/0.37 fof(f2236,plain,(
% 0.18/0.37 ~spl0_2),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f2235])).
% 0.18/0.37 fof(f2237,plain,(
% 0.18/0.37 $false),
% 0.18/0.37 inference(sat_refutation,[status(thm)],[f116,f122,f2236])).
% 0.18/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.38 % Elapsed time: 0.045386 seconds
% 0.18/0.38 % CPU time: 0.223995 seconds
% 0.18/0.38 % Memory used: 14.440 MB
%------------------------------------------------------------------------------