TSTP Solution File: LCL182-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL182-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:18:31 EDT 2023
% Result : Unsatisfiable 3.59s 0.85s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL182-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:43:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 3.59/0.85 % Refutation found
% 3.59/0.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.59/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.59/0.85 fof(f2,axiom,(
% 3.59/0.85 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f3,axiom,(
% 3.59/0.85 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f4,axiom,(
% 3.59/0.85 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f5,axiom,(
% 3.59/0.85 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f6,axiom,(
% 3.59/0.85 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f7,axiom,(
% 3.59/0.85 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f8,axiom,(
% 3.59/0.85 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f9,negated_conjecture,(
% 3.59/0.85 ~ theorem(implies(implies(p,q),implies(not(q),not(p)))) ),
% 3.59/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.59/0.85 fof(f11,plain,(
% 3.59/0.85 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f2])).
% 3.59/0.85 fof(f12,plain,(
% 3.59/0.85 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f3])).
% 3.59/0.85 fof(f13,plain,(
% 3.59/0.85 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f4])).
% 3.59/0.85 fof(f14,plain,(
% 3.59/0.85 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f5])).
% 3.59/0.85 fof(f15,plain,(
% 3.59/0.85 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f6])).
% 3.59/0.85 fof(f16,plain,(
% 3.59/0.85 ![X0]: (theorem(X0)|~axiom(X0))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f7])).
% 3.59/0.85 fof(f17,plain,(
% 3.59/0.85 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 3.59/0.85 inference(miniscoping,[status(esa)],[f8])).
% 3.59/0.85 fof(f18,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f17])).
% 3.59/0.85 fof(f19,plain,(
% 3.59/0.85 ~theorem(implies(implies(p,q),implies(not(q),not(p))))),
% 3.59/0.85 inference(cnf_transformation,[status(esa)],[f9])).
% 3.59/0.85 fof(f27,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 3.59/0.85 inference(resolution,[status(thm)],[f11,f16])).
% 3.59/0.85 fof(f30,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 3.59/0.85 inference(paramodulation,[status(thm)],[f15,f27])).
% 3.59/0.85 fof(f38,plain,(
% 3.59/0.85 spl0_1 <=> ~theorem(X1)),
% 3.59/0.85 introduced(split_symbol_definition)).
% 3.59/0.85 fof(f39,plain,(
% 3.59/0.85 ![X0]: (~theorem(X0)|~spl0_1)),
% 3.59/0.85 inference(component_clause,[status(thm)],[f38])).
% 3.59/0.85 fof(f46,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 3.59/0.85 inference(resolution,[status(thm)],[f12,f16])).
% 3.59/0.85 fof(f47,plain,(
% 3.59/0.85 ![X0,X1]: (axiom(implies(implies(X0,X1),or(X1,not(X0)))))),
% 3.59/0.85 inference(paramodulation,[status(thm)],[f15,f12])).
% 3.59/0.85 fof(f50,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 3.59/0.85 inference(paramodulation,[status(thm)],[f15,f46])).
% 3.59/0.85 fof(f51,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 3.59/0.85 inference(paramodulation,[status(thm)],[f15,f46])).
% 3.59/0.85 fof(f58,plain,(
% 3.59/0.85 ![X0,X1]: (axiom(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 3.59/0.85 inference(paramodulation,[status(thm)],[f15,f47])).
% 3.59/0.85 fof(f62,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 3.59/0.85 inference(paramodulation,[status(thm)],[f15,f50])).
% 3.59/0.85 fof(f63,plain,(
% 3.59/0.85 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 3.59/0.85 inference(resolution,[status(thm)],[f51,f18])).
% 3.59/0.85 fof(f75,plain,(
% 3.59/0.85 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))))),
% 3.59/0.85 inference(paramodulation,[status(thm)],[f15,f13])).
% 3.59/0.85 fof(f76,plain,(
% 3.59/0.85 ![X0,X1,X2]: (axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 3.59/0.85 inference(forward_demodulation,[status(thm)],[f15,f75])).
% 3.59/0.85 fof(f117,plain,(
% 3.59/0.85 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))))),
% 3.59/0.86 inference(paramodulation,[status(thm)],[f15,f76])).
% 3.59/0.86 fof(f118,plain,(
% 3.59/0.86 ![X0,X1,X2]: (axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 3.59/0.86 inference(forward_demodulation,[status(thm)],[f15,f117])).
% 3.59/0.86 fof(f132,plain,(
% 3.59/0.86 $false|~spl0_1),
% 3.59/0.86 inference(backward_subsumption_resolution,[status(thm)],[f62,f39])).
% 3.59/0.86 fof(f133,plain,(
% 3.59/0.86 ~spl0_1),
% 3.59/0.86 inference(contradiction_clause,[status(thm)],[f132])).
% 3.59/0.86 fof(f140,plain,(
% 3.59/0.86 ![X0,X1]: (theorem(X0)|~theorem(X1)|~axiom(implies(X1,X0)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f18,f16])).
% 3.59/0.86 fof(f188,plain,(
% 3.59/0.86 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f140,f14])).
% 3.59/0.86 fof(f223,plain,(
% 3.59/0.86 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 3.59/0.86 inference(resolution,[status(thm)],[f76,f140])).
% 3.59/0.86 fof(f295,plain,(
% 3.59/0.86 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(implies(X1,implies(X2,X1)),X0)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f140,f30])).
% 3.59/0.86 fof(f402,plain,(
% 3.59/0.86 ![X0,X1]: (theorem(implies(X0,implies(X1,X1))))),
% 3.59/0.86 inference(resolution,[status(thm)],[f118,f295])).
% 3.59/0.86 fof(f406,plain,(
% 3.59/0.86 spl0_7 <=> theorem(implies(X0,X0))),
% 3.59/0.86 introduced(split_symbol_definition)).
% 3.59/0.86 fof(f407,plain,(
% 3.59/0.86 ![X0]: (theorem(implies(X0,X0))|~spl0_7)),
% 3.59/0.86 inference(component_clause,[status(thm)],[f406])).
% 3.59/0.86 fof(f409,plain,(
% 3.59/0.86 ![X0,X1]: (theorem(implies(X0,X0))|~theorem(X1))),
% 3.59/0.86 inference(resolution,[status(thm)],[f402,f18])).
% 3.59/0.86 fof(f410,plain,(
% 3.59/0.86 spl0_7|spl0_1),
% 3.59/0.86 inference(split_clause,[status(thm)],[f409,f406,f38])).
% 3.59/0.86 fof(f418,plain,(
% 3.59/0.86 ![X0,X1]: (theorem(X0)|~axiom(implies(implies(X1,X1),X0))|~spl0_7)),
% 3.59/0.86 inference(resolution,[status(thm)],[f407,f140])).
% 3.59/0.86 fof(f421,plain,(
% 3.59/0.86 ![X0]: (theorem(implies(X0,not(not(X0))))|~spl0_7)),
% 3.59/0.86 inference(resolution,[status(thm)],[f418,f58])).
% 3.59/0.86 fof(f442,plain,(
% 3.59/0.86 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(implies(implies(X1,X2),or(X2,not(X1))),X0)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f50,f140])).
% 3.59/0.86 fof(f451,plain,(
% 3.59/0.86 ![X0,X1]: (theorem(or(X0,implies(implies(X1,X0),not(X1)))))),
% 3.59/0.86 inference(resolution,[status(thm)],[f442,f76])).
% 3.59/0.86 fof(f535,plain,(
% 3.59/0.86 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f188,f18])).
% 3.59/0.86 fof(f633,plain,(
% 3.59/0.86 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,or(not(X0),X2))))),
% 3.59/0.86 inference(paramodulation,[status(thm)],[f15,f223])).
% 3.59/0.86 fof(f634,plain,(
% 3.59/0.86 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X2)))|~theorem(implies(X1,implies(X0,X2))))),
% 3.59/0.86 inference(forward_demodulation,[status(thm)],[f15,f633])).
% 3.59/0.86 fof(f912,plain,(
% 3.59/0.86 ![X0,X1,X2]: (theorem(X0)|~axiom(implies(or(X1,implies(implies(X2,X1),not(X2))),X0)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f451,f140])).
% 3.59/0.86 fof(f915,plain,(
% 3.59/0.86 ![X0,X1]: (theorem(or(implies(implies(X0,X1),not(X0)),X1)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f912,f12])).
% 3.59/0.86 fof(f1724,plain,(
% 3.59/0.86 ~theorem(implies(not(q),implies(implies(p,q),not(p))))),
% 3.59/0.86 inference(resolution,[status(thm)],[f634,f19])).
% 3.59/0.86 fof(f1771,plain,(
% 3.59/0.86 ~theorem(or(implies(implies(p,q),not(p)),not(not(q))))),
% 3.59/0.86 inference(resolution,[status(thm)],[f1724,f63])).
% 3.59/0.86 fof(f2055,plain,(
% 3.59/0.86 ![X0]: (~theorem(implies(X0,not(not(q))))|~theorem(or(implies(implies(p,q),not(p)),X0)))),
% 3.59/0.86 inference(resolution,[status(thm)],[f1771,f535])).
% 3.59/0.86 fof(f4325,plain,(
% 3.59/0.86 ~theorem(or(implies(implies(p,q),not(p)),q))|~spl0_7),
% 3.59/0.86 inference(resolution,[status(thm)],[f2055,f421])).
% 3.59/0.86 fof(f4326,plain,(
% 3.59/0.86 $false|~spl0_7),
% 3.59/0.86 inference(forward_subsumption_resolution,[status(thm)],[f4325,f915])).
% 3.59/0.86 fof(f4327,plain,(
% 3.59/0.86 ~spl0_7),
% 3.59/0.86 inference(contradiction_clause,[status(thm)],[f4326])).
% 3.59/0.86 fof(f4328,plain,(
% 3.59/0.86 $false),
% 3.59/0.86 inference(sat_refutation,[status(thm)],[f133,f410,f4327])).
% 3.59/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 4.02/0.88 % Elapsed time: 0.532793 seconds
% 4.02/0.88 % CPU time: 4.036967 seconds
% 4.02/0.88 % Memory used: 85.317 MB
%------------------------------------------------------------------------------