TSTP Solution File: LCL191-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL191-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 : Tue Apr 30 20:26:37 EDT 2024
% Result : Unsatisfiable 47.33s 6.35s
% Output : CNFRefutation 48.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL191-3 : TPTP v8.1.2. Released v2.3.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n006.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 : Mon Apr 29 20:24:20 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 47.33/6.35 % Refutation found
% 47.33/6.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 47.33/6.35 % SZS output start CNFRefutation for theBenchmark
% 47.33/6.35 fof(f1,axiom,(
% 47.33/6.35 (![A]: (axiom(implies(or(A,A),A)) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f2,axiom,(
% 47.33/6.35 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f3,axiom,(
% 47.33/6.35 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f4,axiom,(
% 47.33/6.35 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f5,axiom,(
% 47.33/6.35 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f6,axiom,(
% 47.33/6.35 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f7,axiom,(
% 47.33/6.35 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f8,axiom,(
% 47.33/6.35 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f9,negated_conjecture,(
% 47.33/6.35 ~ theorem(implies(or(p,or(q,r)),or(or(p,q),r))) ),
% 47.33/6.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 47.33/6.35 fof(f10,plain,(
% 47.33/6.35 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f1])).
% 47.33/6.35 fof(f11,plain,(
% 47.33/6.35 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f2])).
% 47.33/6.35 fof(f12,plain,(
% 47.33/6.35 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f3])).
% 47.33/6.35 fof(f13,plain,(
% 47.33/6.35 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f4])).
% 47.33/6.35 fof(f14,plain,(
% 47.33/6.35 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f5])).
% 47.33/6.35 fof(f15,plain,(
% 47.33/6.35 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f6])).
% 47.33/6.35 fof(f16,plain,(
% 47.33/6.35 ![X0]: (theorem(X0)|~axiom(X0))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f7])).
% 47.33/6.35 fof(f17,plain,(
% 47.33/6.35 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 47.33/6.35 inference(miniscoping,[status(esa)],[f8])).
% 47.33/6.35 fof(f18,plain,(
% 47.33/6.35 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f17])).
% 47.33/6.35 fof(f19,plain,(
% 47.33/6.35 ~theorem(implies(or(p,or(q,r)),or(or(p,q),r)))),
% 47.33/6.35 inference(cnf_transformation,[status(esa)],[f9])).
% 47.33/6.35 fof(f20,plain,(
% 47.33/6.35 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 47.33/6.35 inference(resolution,[status(thm)],[f10,f16])).
% 47.33/6.35 fof(f22,plain,(
% 47.33/6.35 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 47.33/6.35 inference(resolution,[status(thm)],[f11,f16])).
% 47.33/6.35 fof(f23,plain,(
% 47.33/6.35 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 47.33/6.35 inference(resolution,[status(thm)],[f22,f18])).
% 47.33/6.35 fof(f24,plain,(
% 47.33/6.35 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 47.33/6.35 inference(paramodulation,[status(thm)],[f15,f23])).
% 47.33/6.35 fof(f34,plain,(
% 47.33/6.35 spl0_1 <=> ~theorem(X1)),
% 47.33/6.35 introduced(split_symbol_definition)).
% 47.33/6.35 fof(f35,plain,(
% 47.33/6.35 ![X0]: (~theorem(X0)|~spl0_1)),
% 47.33/6.35 inference(component_clause,[status(thm)],[f34])).
% 47.33/6.35 fof(f42,plain,(
% 47.33/6.35 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 47.33/6.35 inference(resolution,[status(thm)],[f12,f16])).
% 47.33/6.35 fof(f45,plain,(
% 47.33/6.35 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 47.33/6.35 inference(resolution,[status(thm)],[f42,f18])).
% 47.33/6.35 fof(f49,plain,(
% 47.33/6.35 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X0))),
% 47.33/6.35 inference(resolution,[status(thm)],[f45,f23])).
% 47.33/6.35 fof(f70,plain,(
% 47.33/6.35 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 47.33/6.35 inference(resolution,[status(thm)],[f13,f16])).
% 47.33/6.35 fof(f79,plain,(
% 47.33/6.35 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 47.33/6.35 inference(resolution,[status(thm)],[f14,f16])).
% 47.33/6.35 fof(f84,plain,(
% 47.33/6.35 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 47.33/6.35 inference(resolution,[status(thm)],[f70,f18])).
% 47.33/6.35 fof(f91,plain,(
% 47.33/6.35 ![X0,X1,X2]: (theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))))),
% 47.33/6.35 inference(paramodulation,[status(thm)],[f15,f70])).
% 47.81/6.36 fof(f92,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))),
% 47.81/6.36 inference(forward_demodulation,[status(thm)],[f15,f91])).
% 47.81/6.36 fof(f129,plain,(
% 47.81/6.36 ![X0,X1]: (theorem(or(implies(or(X0,X0),X0),X1)))),
% 47.81/6.36 inference(resolution,[status(thm)],[f20,f49])).
% 47.81/6.36 fof(f137,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 47.81/6.36 inference(resolution,[status(thm)],[f24,f22])).
% 47.81/6.36 fof(f149,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 47.81/6.36 inference(resolution,[status(thm)],[f79,f18])).
% 47.81/6.36 fof(f157,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 47.81/6.36 inference(resolution,[status(thm)],[f70,f18])).
% 47.81/6.36 fof(f237,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(or(not(X0),or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 47.81/6.36 inference(paramodulation,[status(thm)],[f15,f84])).
% 47.81/6.36 fof(f238,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(implies(X0,or(X1,X2)))|~theorem(or(X1,implies(X0,X2))))),
% 47.81/6.36 inference(forward_demodulation,[status(thm)],[f15,f237])).
% 47.81/6.36 fof(f291,plain,(
% 47.81/6.36 $false|~spl0_1),
% 47.81/6.36 inference(backward_subsumption_resolution,[status(thm)],[f129,f35])).
% 47.81/6.36 fof(f292,plain,(
% 47.81/6.36 ~spl0_1),
% 47.81/6.36 inference(contradiction_clause,[status(thm)],[f291])).
% 47.81/6.36 fof(f446,plain,(
% 47.81/6.36 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 47.81/6.36 inference(resolution,[status(thm)],[f149,f18])).
% 47.81/6.36 fof(f447,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),or(not(X0),X2)))|~theorem(implies(X1,X2)))),
% 47.81/6.36 inference(paramodulation,[status(thm)],[f15,f149])).
% 47.81/6.36 fof(f448,plain,(
% 47.81/6.36 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(X0,X2)))|~theorem(implies(X1,X2)))),
% 47.81/6.36 inference(forward_demodulation,[status(thm)],[f15,f447])).
% 47.81/6.36 fof(f527,plain,(
% 47.81/6.36 ![X0,X1,X2]: (~theorem(or(X0,or(X1,X2)))|theorem(or(or(X0,X2),X1)))),
% 47.81/6.36 inference(resolution,[status(thm)],[f157,f45])).
% 47.81/6.36 fof(f1306,plain,(
% 47.81/6.36 ~theorem(or(or(p,q),implies(or(p,or(q,r)),r)))),
% 47.81/6.36 inference(resolution,[status(thm)],[f238,f19])).
% 47.81/6.36 fof(f1660,plain,(
% 47.81/6.36 ![X0,X1,X2,X3]: (theorem(or(X0,or(X1,implies(X2,X3))))|~theorem(or(X0,implies(X2,or(X1,X3)))))),
% 47.81/6.37 inference(resolution,[status(thm)],[f446,f92])).
% 47.81/6.37 fof(f1671,plain,(
% 47.81/6.37 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X0,or(X2,X1))))),
% 47.81/6.37 inference(resolution,[status(thm)],[f446,f42])).
% 47.81/6.37 fof(f1704,plain,(
% 47.81/6.37 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 47.81/6.37 inference(resolution,[status(thm)],[f448,f18])).
% 47.81/6.37 fof(f4489,plain,(
% 47.81/6.37 ![X0,X1,X2]: (~theorem(or(X0,or(X1,X2)))|theorem(or(or(X0,X1),X2)))),
% 47.81/6.37 inference(resolution,[status(thm)],[f1671,f527])).
% 47.81/6.37 fof(f4602,plain,(
% 47.81/6.37 ![X0,X1,X2]: (~theorem(implies(X0,X1))|~theorem(implies(X2,X0))|theorem(X1)|~theorem(X2))),
% 47.81/6.37 inference(resolution,[status(thm)],[f1704,f18])).
% 47.81/6.37 fof(f5960,plain,(
% 47.81/6.37 ~theorem(or(p,or(q,implies(or(p,or(q,r)),r))))),
% 47.81/6.37 inference(resolution,[status(thm)],[f4489,f1306])).
% 47.81/6.37 fof(f6166,plain,(
% 47.81/6.37 spl0_181 <=> ~theorem(implies(implies(X0,or(X1,X0)),X2))|theorem(X2)),
% 47.81/6.37 introduced(split_symbol_definition)).
% 47.81/6.37 fof(f6167,plain,(
% 47.81/6.37 ![X0,X1,X2]: (~theorem(implies(implies(X0,or(X1,X0)),X2))|theorem(X2)|~spl0_181)),
% 47.81/6.37 inference(component_clause,[status(thm)],[f6166])).
% 47.81/6.37 fof(f6169,plain,(
% 47.81/6.37 ![X0,X1,X2,X3]: (~theorem(implies(implies(X0,or(X1,X0)),X2))|theorem(X2)|~theorem(X3))),
% 47.81/6.37 inference(resolution,[status(thm)],[f4602,f137])).
% 47.81/6.37 fof(f6170,plain,(
% 47.81/6.37 spl0_181|spl0_1),
% 47.81/6.37 inference(split_clause,[status(thm)],[f6169,f6166,f34])).
% 47.81/6.37 fof(f10249,plain,(
% 47.81/6.37 ![X0,X1]: (theorem(or(X0,implies(X1,X1)))|~spl0_181)),
% 47.81/6.37 inference(resolution,[status(thm)],[f6167,f92])).
% 47.81/6.37 fof(f10322,plain,(
% 47.81/6.37 ![X0,X1]: (theorem(implies(X0,implies(X1,X1)))|~spl0_181)),
% 47.81/6.37 inference(paramodulation,[status(thm)],[f15,f10249])).
% 47.81/6.37 fof(f10373,plain,(
% 47.81/6.37 spl0_260 <=> ~theorem(implies(implies(X0,X0),X1))|theorem(X1)),
% 47.81/6.37 introduced(split_symbol_definition)).
% 47.81/6.37 fof(f10374,plain,(
% 47.81/6.37 ![X0,X1]: (~theorem(implies(implies(X0,X0),X1))|theorem(X1)|~spl0_260)),
% 47.81/6.37 inference(component_clause,[status(thm)],[f10373])).
% 47.81/6.37 fof(f10376,plain,(
% 47.81/6.37 ![X0,X1,X2]: (~theorem(implies(implies(X0,X0),X1))|theorem(X1)|~theorem(X2)|~spl0_181)),
% 47.81/6.37 inference(resolution,[status(thm)],[f10322,f4602])).
% 48.22/6.42 fof(f10377,plain,(
% 48.22/6.42 spl0_260|spl0_1|~spl0_181),
% 48.22/6.42 inference(split_clause,[status(thm)],[f10376,f10373,f34,f6166])).
% 48.22/6.42 fof(f11915,plain,(
% 48.22/6.42 ![X0,X1]: (theorem(or(X0,implies(or(X0,X1),X1)))|~spl0_260)),
% 48.22/6.42 inference(resolution,[status(thm)],[f10374,f92])).
% 48.22/6.42 fof(f20875,plain,(
% 48.22/6.42 ~theorem(or(p,implies(or(p,or(q,r)),or(q,r))))),
% 48.22/6.42 inference(resolution,[status(thm)],[f5960,f1660])).
% 48.22/6.42 fof(f20876,plain,(
% 48.22/6.42 $false|~spl0_260),
% 48.22/6.42 inference(forward_subsumption_resolution,[status(thm)],[f20875,f11915])).
% 48.22/6.42 fof(f20877,plain,(
% 48.22/6.42 ~spl0_260),
% 48.22/6.42 inference(contradiction_clause,[status(thm)],[f20876])).
% 48.22/6.42 fof(f20878,plain,(
% 48.22/6.42 $false),
% 48.22/6.42 inference(sat_refutation,[status(thm)],[f292,f6170,f10377,f20877])).
% 48.22/6.42 % SZS output end CNFRefutation for theBenchmark.p
% 48.41/6.48 % Elapsed time: 6.161154 seconds
% 48.41/6.48 % CPU time: 48.431084 seconds
% 48.41/6.48 % Total memory used: 465.430 MB
% 48.41/6.48 % Net memory used: 410.234 MB
%------------------------------------------------------------------------------