TSTP Solution File: LCL231-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL231-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:18:47 EDT 2023
% Result : Unsatisfiable 58.30s 7.78s
% Output : CNFRefutation 58.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL231-3 : TPTP v8.1.2. Released v2.3.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n019.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 09:46:55 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 58.30/7.78 % Refutation found
% 58.30/7.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 58.30/7.78 % SZS output start CNFRefutation for theBenchmark
% 58.30/7.78 fof(f1,axiom,(
% 58.30/7.78 (![A]: (axiom(implies(or(A,A),A)) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f2,axiom,(
% 58.30/7.78 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f3,axiom,(
% 58.30/7.78 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f4,axiom,(
% 58.30/7.78 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f5,axiom,(
% 58.30/7.78 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f6,axiom,(
% 58.30/7.78 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f7,axiom,(
% 58.30/7.78 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f8,axiom,(
% 58.30/7.78 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f9,negated_conjecture,(
% 58.30/7.78 ~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))) ),
% 58.30/7.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.30/7.78 fof(f10,plain,(
% 58.30/7.78 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f1])).
% 58.30/7.78 fof(f11,plain,(
% 58.30/7.78 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f2])).
% 58.30/7.78 fof(f12,plain,(
% 58.30/7.78 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f3])).
% 58.30/7.78 fof(f13,plain,(
% 58.30/7.78 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f4])).
% 58.30/7.78 fof(f14,plain,(
% 58.30/7.78 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f5])).
% 58.30/7.78 fof(f15,plain,(
% 58.30/7.78 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f6])).
% 58.30/7.78 fof(f16,plain,(
% 58.30/7.78 ![X0]: (theorem(X0)|~axiom(X0))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f7])).
% 58.30/7.78 fof(f17,plain,(
% 58.30/7.78 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 58.30/7.78 inference(miniscoping,[status(esa)],[f8])).
% 58.30/7.78 fof(f18,plain,(
% 58.30/7.78 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f17])).
% 58.30/7.78 fof(f19,plain,(
% 58.30/7.78 ~theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r))))),
% 58.30/7.78 inference(cnf_transformation,[status(esa)],[f9])).
% 58.30/7.78 fof(f20,plain,(
% 58.30/7.78 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 58.30/7.78 inference(resolution,[status(thm)],[f10,f16])).
% 58.30/7.78 fof(f21,plain,(
% 58.30/7.78 ![X0]: (theorem(X0)|~theorem(or(X0,X0)))),
% 58.30/7.78 inference(resolution,[status(thm)],[f20,f18])).
% 58.30/7.78 fof(f22,plain,(
% 58.30/7.78 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 58.30/7.78 inference(resolution,[status(thm)],[f11,f16])).
% 58.30/7.78 fof(f23,plain,(
% 58.30/7.78 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 58.30/7.78 inference(resolution,[status(thm)],[f22,f18])).
% 58.30/7.78 fof(f24,plain,(
% 58.30/7.78 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 58.30/7.78 inference(resolution,[status(thm)],[f12,f16])).
% 58.30/7.78 fof(f25,plain,(
% 58.30/7.78 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 58.30/7.78 inference(resolution,[status(thm)],[f24,f18])).
% 58.30/7.78 fof(f26,plain,(
% 58.30/7.78 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X0))),
% 58.30/7.78 inference(resolution,[status(thm)],[f25,f23])).
% 58.30/7.78 fof(f44,plain,(
% 58.30/7.78 spl0_1 <=> ~theorem(X1)),
% 58.30/7.78 introduced(split_symbol_definition)).
% 58.30/7.78 fof(f45,plain,(
% 58.30/7.78 ![X0]: (~theorem(X0)|~spl0_1)),
% 58.30/7.78 inference(component_clause,[status(thm)],[f44])).
% 58.30/7.78 fof(f78,plain,(
% 58.30/7.78 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 58.30/7.78 inference(resolution,[status(thm)],[f13,f16])).
% 58.30/7.78 fof(f87,plain,(
% 58.30/7.78 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 58.30/7.78 inference(resolution,[status(thm)],[f14,f16])).
% 58.30/7.78 fof(f92,plain,(
% 58.30/7.78 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 58.30/7.78 inference(resolution,[status(thm)],[f78,f18])).
% 58.30/7.78 fof(f93,plain,(
% 58.30/7.78 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 58.30/7.79 inference(paramodulation,[status(thm)],[f15,f78])).
% 58.30/7.79 fof(f94,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 58.30/7.79 inference(forward_demodulation,[status(thm)],[f15,f93])).
% 58.30/7.79 fof(f144,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(or(X0,implies(X1,or(X2,X1)))))),
% 58.30/7.79 inference(resolution,[status(thm)],[f22,f23])).
% 58.30/7.79 fof(f148,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(or(implies(or(X0,X1),or(X1,X0)),X2)))),
% 58.30/7.79 inference(resolution,[status(thm)],[f24,f26])).
% 58.30/7.79 fof(f157,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 58.30/7.79 inference(paramodulation,[status(thm)],[f15,f87])).
% 58.30/7.79 fof(f158,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 58.30/7.79 inference(forward_demodulation,[status(thm)],[f15,f157])).
% 58.30/7.79 fof(f181,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 58.30/7.79 inference(paramodulation,[status(thm)],[f15,f144])).
% 58.30/7.79 fof(f192,plain,(
% 58.30/7.79 ![X0,X1,X2,X3]: (theorem(or(or(implies(or(X0,X1),or(X1,X0)),X2),X3)))),
% 58.30/7.79 inference(resolution,[status(thm)],[f148,f26])).
% 58.30/7.79 fof(f227,plain,(
% 58.30/7.79 ![X0,X1,X2,X3]: (~theorem(or(X0,or(X1,X2)))|theorem(or(X3,or(X1,or(X0,X2)))))),
% 58.30/7.79 inference(resolution,[status(thm)],[f92,f23])).
% 58.30/7.79 fof(f236,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 58.30/7.79 inference(paramodulation,[status(thm)],[f15,f94])).
% 58.30/7.79 fof(f237,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 58.30/7.79 inference(forward_demodulation,[status(thm)],[f15,f236])).
% 58.30/7.79 fof(f269,plain,(
% 58.30/7.79 ![X0,X1]: (~theorem(or(implies(X0,X1),implies(X0,X1)))|theorem(X1)|~theorem(X0))),
% 58.30/7.79 inference(resolution,[status(thm)],[f21,f18])).
% 58.30/7.79 fof(f449,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 58.30/7.79 inference(paramodulation,[status(thm)],[f15,f181])).
% 58.30/7.79 fof(f536,plain,(
% 58.30/7.79 spl0_6 <=> theorem(implies(X0,implies(X1,X0)))),
% 58.30/7.79 introduced(split_symbol_definition)).
% 58.30/7.79 fof(f537,plain,(
% 58.30/7.79 ![X0,X1]: (theorem(implies(X0,implies(X1,X0)))|~spl0_6)),
% 58.30/7.79 inference(component_clause,[status(thm)],[f536])).
% 58.30/7.79 fof(f539,plain,(
% 58.30/7.79 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X0)))|~theorem(X2))),
% 58.30/7.79 inference(resolution,[status(thm)],[f449,f18])).
% 58.30/7.79 fof(f540,plain,(
% 58.30/7.79 spl0_6|spl0_1),
% 58.30/7.79 inference(split_clause,[status(thm)],[f539,f536,f44])).
% 58.30/7.79 fof(f643,plain,(
% 58.30/7.79 $false|~spl0_1),
% 58.30/7.79 inference(backward_subsumption_resolution,[status(thm)],[f192,f45])).
% 58.30/7.79 fof(f644,plain,(
% 58.30/7.79 ~spl0_1),
% 58.30/7.79 inference(contradiction_clause,[status(thm)],[f643])).
% 58.30/7.79 fof(f694,plain,(
% 58.30/7.79 ![X0]: (~theorem(implies(X0,implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))))|~theorem(X0))),
% 58.30/7.79 inference(resolution,[status(thm)],[f18,f19])).
% 58.30/7.79 fof(f748,plain,(
% 58.30/7.79 ![X0,X1]: (~theorem(X0)|~theorem(implies(X1,implies(X0,implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r))))))|~theorem(X1))),
% 58.30/7.79 inference(resolution,[status(thm)],[f694,f18])).
% 58.30/7.79 fof(f1396,plain,(
% 58.30/7.79 ![X0]: (~theorem(implies(implies(implies(p,q),implies(p,r)),X0))|~theorem(implies(X0,implies(p,implies(q,r)))))),
% 58.30/7.79 inference(resolution,[status(thm)],[f158,f748])).
% 58.30/7.79 fof(f3468,plain,(
% 58.30/7.79 ![X0,X1,X2,X3]: (~theorem(or(X0,or(not(X1),X2)))|theorem(or(X3,implies(X1,or(X0,X2)))))),
% 58.30/7.79 inference(paramodulation,[status(thm)],[f15,f227])).
% 58.30/7.79 fof(f3469,plain,(
% 58.30/7.79 ![X0,X1,X2,X3]: (~theorem(or(X0,implies(X1,X2)))|theorem(or(X3,implies(X1,or(X0,X2)))))),
% 58.30/7.79 inference(forward_demodulation,[status(thm)],[f15,f3468])).
% 58.30/7.79 fof(f4153,plain,(
% 58.30/7.79 ~theorem(implies(implies(implies(p,q),implies(p,r)),implies(q,implies(p,r))))),
% 58.30/7.79 inference(resolution,[status(thm)],[f237,f1396])).
% 58.30/7.79 fof(f10771,plain,(
% 58.30/7.79 ![X0,X1,X2]: (~theorem(or(X0,implies(X1,X2)))|theorem(or(X0,X2))|~theorem(X1))),
% 58.30/7.79 inference(resolution,[status(thm)],[f3469,f269])).
% 58.30/7.79 fof(f14545,plain,(
% 58.30/7.79 ![X0,X1,X2]: (~theorem(implies(X0,implies(X1,X2)))|theorem(or(not(X0),X2))|~theorem(X1))),
% 58.30/7.79 inference(paramodulation,[status(thm)],[f15,f10771])).
% 58.30/7.79 fof(f14546,plain,(
% 58.30/7.79 ![X0,X1,X2]: (~theorem(implies(X0,implies(X1,X2)))|theorem(implies(X0,X2))|~theorem(X1))),
% 58.30/7.79 inference(forward_demodulation,[status(thm)],[f15,f14545])).
% 58.83/7.84 fof(f16999,plain,(
% 58.83/7.84 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X2,X1)))|~theorem(implies(X2,X0)))),
% 58.83/7.84 inference(resolution,[status(thm)],[f14546,f158])).
% 58.83/7.84 fof(f18913,plain,(
% 58.83/7.84 ~theorem(implies(q,implies(p,q)))),
% 58.83/7.84 inference(resolution,[status(thm)],[f16999,f4153])).
% 58.83/7.84 fof(f18914,plain,(
% 58.83/7.84 $false|~spl0_6),
% 58.83/7.84 inference(forward_subsumption_resolution,[status(thm)],[f18913,f537])).
% 58.83/7.84 fof(f18915,plain,(
% 58.83/7.84 ~spl0_6),
% 58.83/7.84 inference(contradiction_clause,[status(thm)],[f18914])).
% 58.83/7.84 fof(f18916,plain,(
% 58.83/7.84 $false),
% 58.83/7.84 inference(sat_refutation,[status(thm)],[f540,f644,f18915])).
% 58.83/7.84 % SZS output end CNFRefutation for theBenchmark.p
% 59.51/7.94 % Elapsed time: 7.606536 seconds
% 59.51/7.94 % CPU time: 59.460205 seconds
% 59.51/7.94 % Memory used: 427.060 MB
%------------------------------------------------------------------------------