TSTP Solution File: LCL323-3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:19:00 EDT 2023
% Result : Unsatisfiable 1.30s 0.59s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n004.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 09:34:22 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 1.30/0.59 % Refutation found
% 1.30/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.30/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.30/0.59 fof(f1,axiom,(
% 1.30/0.59 (![A]: (axiom(implies(or(A,A),A)) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f2,axiom,(
% 1.30/0.59 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f3,axiom,(
% 1.30/0.59 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f4,axiom,(
% 1.30/0.59 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f5,axiom,(
% 1.30/0.59 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f6,axiom,(
% 1.30/0.59 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f7,axiom,(
% 1.30/0.59 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f8,axiom,(
% 1.30/0.59 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f9,negated_conjecture,(
% 1.30/0.59 ~ theorem(or(implies(p,q),implies(q,r))) ),
% 1.30/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.59 fof(f10,plain,(
% 1.30/0.59 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f1])).
% 1.30/0.59 fof(f11,plain,(
% 1.30/0.59 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f2])).
% 1.30/0.59 fof(f12,plain,(
% 1.30/0.59 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f3])).
% 1.30/0.59 fof(f13,plain,(
% 1.30/0.59 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f4])).
% 1.30/0.59 fof(f14,plain,(
% 1.30/0.59 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f5])).
% 1.30/0.59 fof(f15,plain,(
% 1.30/0.59 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f6])).
% 1.30/0.59 fof(f16,plain,(
% 1.30/0.59 ![X0]: (theorem(X0)|~axiom(X0))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f7])).
% 1.30/0.59 fof(f17,plain,(
% 1.30/0.59 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 1.30/0.59 inference(miniscoping,[status(esa)],[f8])).
% 1.30/0.59 fof(f18,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f17])).
% 1.30/0.59 fof(f19,plain,(
% 1.30/0.59 ~theorem(or(implies(p,q),implies(q,r)))),
% 1.30/0.59 inference(cnf_transformation,[status(esa)],[f9])).
% 1.30/0.59 fof(f20,plain,(
% 1.30/0.59 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f10,f16])).
% 1.30/0.59 fof(f21,plain,(
% 1.30/0.59 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f20,f18])).
% 1.30/0.59 fof(f22,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f11,f16])).
% 1.30/0.59 fof(f23,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 1.30/0.59 inference(resolution,[status(thm)],[f22,f18])).
% 1.30/0.59 fof(f25,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 1.30/0.59 inference(paramodulation,[status(thm)],[f15,f23])).
% 1.30/0.59 fof(f26,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 1.30/0.59 inference(paramodulation,[status(thm)],[f15,f22])).
% 1.30/0.59 fof(f35,plain,(
% 1.30/0.59 spl0_1 <=> ~theorem(X1)),
% 1.30/0.59 introduced(split_symbol_definition)).
% 1.30/0.59 fof(f36,plain,(
% 1.30/0.59 ![X0]: (~theorem(X0)|~spl0_1)),
% 1.30/0.59 inference(component_clause,[status(thm)],[f35])).
% 1.30/0.59 fof(f42,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f12,f16])).
% 1.30/0.59 fof(f44,plain,(
% 1.30/0.59 ![X0,X1]: (axiom(implies(or(X0,not(X1)),implies(X1,X0))))),
% 1.30/0.59 inference(paramodulation,[status(thm)],[f15,f12])).
% 1.30/0.59 fof(f45,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f42,f18])).
% 1.30/0.59 fof(f49,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X0))),
% 1.30/0.59 inference(resolution,[status(thm)],[f45,f23])).
% 1.30/0.59 fof(f69,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f13,f16])).
% 1.30/0.59 fof(f78,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f14,f16])).
% 1.30/0.59 fof(f83,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f69,f18])).
% 1.30/0.59 fof(f129,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f16,f44])).
% 1.30/0.59 fof(f136,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(or(implies(or(X0,X0),X0),X1)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f20,f49])).
% 1.30/0.59 fof(f144,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f25,f22])).
% 1.30/0.59 fof(f145,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f25,f26])).
% 1.30/0.59 fof(f149,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f78,f18])).
% 1.30/0.59 fof(f169,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 1.30/0.59 inference(paramodulation,[status(thm)],[f15,f45])).
% 1.30/0.59 fof(f222,plain,(
% 1.30/0.59 spl0_5 <=> theorem(implies(X0,or(X1,X0)))),
% 1.30/0.59 introduced(split_symbol_definition)).
% 1.30/0.59 fof(f223,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))|~spl0_5)),
% 1.30/0.59 inference(component_clause,[status(thm)],[f222])).
% 1.30/0.59 fof(f225,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X0)))|~theorem(X2))),
% 1.30/0.59 inference(resolution,[status(thm)],[f144,f18])).
% 1.30/0.59 fof(f226,plain,(
% 1.30/0.59 spl0_5|spl0_1),
% 1.30/0.59 inference(split_clause,[status(thm)],[f225,f222,f35])).
% 1.30/0.59 fof(f231,plain,(
% 1.30/0.59 spl0_6 <=> theorem(implies(X0,implies(X1,X0)))),
% 1.30/0.59 introduced(split_symbol_definition)).
% 1.30/0.59 fof(f232,plain,(
% 1.30/0.59 ![X0,X1]: (theorem(implies(X0,implies(X1,X0)))|~spl0_6)),
% 1.30/0.59 inference(component_clause,[status(thm)],[f231])).
% 1.30/0.59 fof(f234,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X0)))|~theorem(X2))),
% 1.30/0.59 inference(resolution,[status(thm)],[f145,f18])).
% 1.30/0.59 fof(f235,plain,(
% 1.30/0.59 spl0_6|spl0_1),
% 1.30/0.59 inference(split_clause,[status(thm)],[f234,f231,f35])).
% 1.30/0.59 fof(f242,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(or(X0,or(not(X1),X2)))|~theorem(implies(X1,or(X0,X2))))),
% 1.30/0.59 inference(paramodulation,[status(thm)],[f15,f83])).
% 1.30/0.59 fof(f243,plain,(
% 1.30/0.59 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 1.30/0.59 inference(forward_demodulation,[status(thm)],[f15,f242])).
% 1.30/0.59 fof(f287,plain,(
% 1.30/0.59 $false|~spl0_1),
% 1.30/0.59 inference(backward_subsumption_resolution,[status(thm)],[f136,f36])).
% 1.30/0.59 fof(f288,plain,(
% 1.30/0.59 ~spl0_1),
% 1.30/0.59 inference(contradiction_clause,[status(thm)],[f287])).
% 1.30/0.59 fof(f518,plain,(
% 1.30/0.59 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f149,f18])).
% 1.30/0.59 fof(f730,plain,(
% 1.30/0.59 ![X0,X1]: (~theorem(implies(X0,or(implies(X0,X1),X1)))|theorem(implies(X0,X1)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f243,f21])).
% 1.30/0.59 fof(f766,plain,(
% 1.30/0.59 ![X0]: (~theorem(implies(X0,implies(q,r)))|~theorem(or(implies(p,q),X0)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f518,f19])).
% 1.30/0.59 fof(f770,plain,(
% 1.30/0.59 ![X0,X1,X2]: (~theorem(implies(X0,X1))|~theorem(or(X2,X0))|theorem(or(X1,X2)))),
% 1.30/0.59 inference(resolution,[status(thm)],[f518,f45])).
% 1.30/0.59 fof(f882,plain,(
% 1.30/0.59 ~theorem(or(implies(p,q),or(r,not(q))))),
% 1.30/0.59 inference(resolution,[status(thm)],[f766,f129])).
% 1.30/0.59 fof(f1482,plain,(
% 1.30/0.59 ![X0]: (theorem(implies(X0,X0))|~spl0_5)),
% 1.30/0.59 inference(resolution,[status(thm)],[f730,f223])).
% 1.30/0.59 fof(f3601,plain,(
% 1.30/0.59 ![X0,X1,X2]: (~theorem(or(X0,X1))|theorem(or(implies(X2,X1),X0))|~spl0_6)),
% 1.30/0.59 inference(resolution,[status(thm)],[f770,f232])).
% 1.30/0.59 fof(f3612,plain,(
% 1.30/0.59 ![X0,X1,X2]: (~theorem(or(X0,X1))|theorem(or(or(X2,X1),X0))|~spl0_5)),
% 1.30/0.59 inference(resolution,[status(thm)],[f770,f223])).
% 1.30/0.59 fof(f4508,plain,(
% 1.30/0.59 ~theorem(or(or(r,not(q)),q))|~spl0_6),
% 1.30/0.59 inference(resolution,[status(thm)],[f3601,f882])).
% 1.30/0.59 fof(f4808,plain,(
% 1.30/0.59 ~theorem(or(q,not(q)))|~spl0_6|~spl0_5),
% 1.30/0.59 inference(resolution,[status(thm)],[f4508,f3612])).
% 1.30/0.59 fof(f4818,plain,(
% 1.30/0.59 ~theorem(implies(q,q))|~spl0_6|~spl0_5),
% 1.30/0.59 inference(resolution,[status(thm)],[f4808,f169])).
% 1.30/0.59 fof(f4819,plain,(
% 1.30/0.59 $false|~spl0_6|~spl0_5),
% 1.30/0.59 inference(forward_subsumption_resolution,[status(thm)],[f4818,f1482])).
% 1.30/0.59 fof(f4820,plain,(
% 1.30/0.59 ~spl0_6|~spl0_5),
% 1.30/0.59 inference(contradiction_clause,[status(thm)],[f4819])).
% 1.35/0.62 fof(f4821,plain,(
% 1.35/0.62 $false),
% 1.35/0.62 inference(sat_refutation,[status(thm)],[f226,f235,f288,f4820])).
% 1.35/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 1.35/0.62 % Elapsed time: 0.290437 seconds
% 1.35/0.62 % CPU time: 1.382074 seconds
% 1.35/0.62 % Memory used: 59.274 MB
%------------------------------------------------------------------------------