TSTP Solution File: LCL211-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:26:43 EDT 2024
% Result : Unsatisfiable 7.30s 1.24s
% Output : CNFRefutation 7.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.09 % Problem : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% 0.01/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.28 % Computer : n003.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.29 % WCLimit : 300
% 0.07/0.29 % DateTime : Mon Apr 29 20:20:03 EDT 2024
% 0.07/0.29 % CPUTime :
% 0.07/0.29 % Drodi V3.6.0
% 7.30/1.24 % Refutation found
% 7.30/1.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.30/1.24 % SZS output start CNFRefutation for theBenchmark
% 7.30/1.24 fof(f1,axiom,(
% 7.30/1.24 (![A]: (axiom(implies(or(A,A),A)) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f2,axiom,(
% 7.30/1.24 (![A,B]: (axiom(implies(A,or(B,A))) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f3,axiom,(
% 7.30/1.24 (![A,B]: (axiom(implies(or(A,B),or(B,A))) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f4,axiom,(
% 7.30/1.24 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f5,axiom,(
% 7.30/1.24 (![A,B,C]: (axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f6,axiom,(
% 7.30/1.24 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f7,axiom,(
% 7.30/1.24 (![X]: (( theorem(X)| ~ axiom(X) ) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f8,axiom,(
% 7.30/1.24 (![X,Y]: (( theorem(X)| ~ theorem(implies(Y,X))| ~ theorem(Y) ) ))),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f9,negated_conjecture,(
% 7.30/1.24 ~ theorem(implies(not(q),implies(or(p,q),p))) ),
% 7.30/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.30/1.24 fof(f10,plain,(
% 7.30/1.24 ![X0]: (axiom(implies(or(X0,X0),X0)))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f1])).
% 7.30/1.24 fof(f11,plain,(
% 7.30/1.24 ![X0,X1]: (axiom(implies(X0,or(X1,X0))))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f2])).
% 7.30/1.24 fof(f12,plain,(
% 7.30/1.24 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0))))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f3])).
% 7.30/1.24 fof(f13,plain,(
% 7.30/1.24 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f4])).
% 7.30/1.24 fof(f14,plain,(
% 7.30/1.24 ![X0,X1,X2]: (axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f5])).
% 7.30/1.24 fof(f15,plain,(
% 7.30/1.24 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f6])).
% 7.30/1.24 fof(f16,plain,(
% 7.30/1.24 ![X0]: (theorem(X0)|~axiom(X0))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f7])).
% 7.30/1.24 fof(f17,plain,(
% 7.30/1.24 ![Y]: ((![X]: (theorem(X)|~theorem(implies(Y,X))))|~theorem(Y))),
% 7.30/1.24 inference(miniscoping,[status(esa)],[f8])).
% 7.30/1.24 fof(f18,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(X0)|~theorem(implies(X1,X0))|~theorem(X1))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f17])).
% 7.30/1.24 fof(f19,plain,(
% 7.30/1.24 ~theorem(implies(not(q),implies(or(p,q),p)))),
% 7.30/1.24 inference(cnf_transformation,[status(esa)],[f9])).
% 7.30/1.24 fof(f20,plain,(
% 7.30/1.24 ![X0]: (theorem(implies(or(X0,X0),X0)))),
% 7.30/1.24 inference(resolution,[status(thm)],[f10,f16])).
% 7.30/1.24 fof(f27,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(X0,or(X1,X0))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f11,f16])).
% 7.30/1.24 fof(f29,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(or(X0,X1))|~theorem(X1))),
% 7.30/1.24 inference(resolution,[status(thm)],[f27,f18])).
% 7.30/1.24 fof(f30,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(X0,implies(X1,X0))))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f27])).
% 7.30/1.24 fof(f32,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(X1))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f29])).
% 7.30/1.24 fof(f38,plain,(
% 7.30/1.24 spl0_1 <=> ~theorem(X1)),
% 7.30/1.24 introduced(split_symbol_definition)).
% 7.30/1.24 fof(f39,plain,(
% 7.30/1.24 ![X0]: (~theorem(X0)|~spl0_1)),
% 7.30/1.24 inference(component_clause,[status(thm)],[f38])).
% 7.30/1.24 fof(f43,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f12,f16])).
% 7.30/1.24 fof(f47,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(or(X0,X1))|~theorem(or(X1,X0)))),
% 7.30/1.24 inference(resolution,[status(thm)],[f43,f18])).
% 7.30/1.24 fof(f49,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f43])).
% 7.30/1.24 fof(f51,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(or(X0,not(X1)))|~theorem(implies(X1,X0)))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f47])).
% 7.30/1.24 fof(f61,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(X0,X1))|~theorem(or(X1,not(X0))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f49,f18])).
% 7.30/1.24 fof(f65,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(X0,not(X1)))|~theorem(implies(X1,not(X0))))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f51])).
% 7.30/1.24 fof(f67,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f13,f16])).
% 7.30/1.24 fof(f76,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f14,f16])).
% 7.30/1.24 fof(f81,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(or(X0,or(X1,X2)))|~theorem(or(X1,or(X0,X2))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f67,f18])).
% 7.30/1.24 fof(f91,plain,(
% 7.30/1.24 ~theorem(or(implies(or(p,q),p),not(not(q))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f61,f19])).
% 7.30/1.24 fof(f141,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(X0,implies(or(X1,X1),X1))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f32,f20])).
% 7.30/1.24 fof(f143,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f32,f30])).
% 7.30/1.24 fof(f201,plain,(
% 7.30/1.24 spl0_4 <=> theorem(implies(or(X0,X0),X0))),
% 7.30/1.24 introduced(split_symbol_definition)).
% 7.30/1.24 fof(f202,plain,(
% 7.30/1.24 ![X0]: (theorem(implies(or(X0,X0),X0))|~spl0_4)),
% 7.30/1.24 inference(component_clause,[status(thm)],[f201])).
% 7.30/1.24 fof(f204,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(or(X0,X0),X0))|~theorem(X1))),
% 7.30/1.24 inference(resolution,[status(thm)],[f141,f18])).
% 7.30/1.24 fof(f205,plain,(
% 7.30/1.24 spl0_4|spl0_1),
% 7.30/1.24 inference(split_clause,[status(thm)],[f204,f201,f38])).
% 7.30/1.24 fof(f219,plain,(
% 7.30/1.24 spl0_6 <=> theorem(implies(X0,implies(X1,X0)))),
% 7.30/1.24 introduced(split_symbol_definition)).
% 7.30/1.24 fof(f220,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(implies(X0,implies(X1,X0)))|~spl0_6)),
% 7.30/1.24 inference(component_clause,[status(thm)],[f219])).
% 7.30/1.24 fof(f222,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(implies(X0,implies(X1,X0)))|~theorem(X2))),
% 7.30/1.24 inference(resolution,[status(thm)],[f143,f18])).
% 7.30/1.24 fof(f223,plain,(
% 7.30/1.24 spl0_6|spl0_1),
% 7.30/1.24 inference(split_clause,[status(thm)],[f222,f219,f38])).
% 7.30/1.24 fof(f227,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(implies(or(X0,X1),or(X0,X2)))|~theorem(implies(X1,X2)))),
% 7.30/1.24 inference(resolution,[status(thm)],[f76,f18])).
% 7.30/1.24 fof(f249,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(or(or(X0,X1),not(or(X1,X0)))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f51,f43])).
% 7.30/1.24 fof(f251,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(or(or(X0,X1),not(X1))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f51,f27])).
% 7.30/1.24 fof(f288,plain,(
% 7.30/1.24 $false|~spl0_1),
% 7.30/1.24 inference(backward_subsumption_resolution,[status(thm)],[f251,f39])).
% 7.30/1.24 fof(f289,plain,(
% 7.30/1.24 ~spl0_1),
% 7.30/1.24 inference(contradiction_clause,[status(thm)],[f288])).
% 7.30/1.24 fof(f670,plain,(
% 7.30/1.24 ![X0,X1]: (theorem(or(implies(X0,X1),not(or(X1,not(X0))))))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f249])).
% 7.30/1.24 fof(f677,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(or(not(X1),or(X0,X2))))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f81])).
% 7.30/1.24 fof(f678,plain,(
% 7.30/1.24 ![X0,X1,X2]: (theorem(or(X0,implies(X1,X2)))|~theorem(implies(X1,or(X0,X2))))),
% 7.30/1.24 inference(forward_demodulation,[status(thm)],[f15,f677])).
% 7.30/1.24 fof(f1119,plain,(
% 7.30/1.24 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(or(X2,X1))|~theorem(or(X2,X0)))),
% 7.30/1.24 inference(resolution,[status(thm)],[f227,f18])).
% 7.30/1.24 fof(f1340,plain,(
% 7.30/1.24 ![X0]: (~theorem(implies(X0,not(not(q))))|~theorem(or(implies(or(p,q),p),X0)))),
% 7.30/1.24 inference(resolution,[status(thm)],[f1119,f91])).
% 7.30/1.24 fof(f1350,plain,(
% 7.30/1.24 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(or(not(X2),X0)))),
% 7.30/1.24 inference(paramodulation,[status(thm)],[f15,f1119])).
% 7.30/1.24 fof(f1351,plain,(
% 7.30/1.24 ![X0,X1,X2]: (~theorem(implies(X0,X1))|theorem(implies(X2,X1))|~theorem(implies(X2,X0)))),
% 7.30/1.24 inference(forward_demodulation,[status(thm)],[f15,f1350])).
% 7.30/1.24 fof(f1711,plain,(
% 7.30/1.24 ![X0,X1,X2]: (~theorem(implies(X0,not(X1)))|~theorem(implies(X2,X0))|theorem(implies(X1,not(X2))))),
% 7.30/1.24 inference(resolution,[status(thm)],[f1351,f65])).
% 7.30/1.24 fof(f3632,plain,(
% 7.30/1.24 ![X0,X1]: (~theorem(implies(X0,or(not(X1),not(X1))))|theorem(implies(X1,not(X0)))|~spl0_4)),
% 7.30/1.24 inference(resolution,[status(thm)],[f1711,f202])).
% 7.30/1.24 fof(f3633,plain,(
% 7.30/1.24 ![X0,X1]: (~theorem(implies(X0,implies(X1,not(X1))))|theorem(implies(X1,not(X0)))|~spl0_4)),
% 7.30/1.24 inference(forward_demodulation,[status(thm)],[f15,f3632])).
% 7.30/1.24 fof(f3984,plain,(
% 7.30/1.24 ![X0]: (theorem(implies(X0,not(not(X0))))|~spl0_4|~spl0_6)),
% 7.30/1.24 inference(resolution,[status(thm)],[f3633,f220])).
% 7.30/1.24 fof(f4010,plain,(
% 7.30/1.24 ~theorem(or(implies(or(p,q),p),q))|~spl0_4|~spl0_6),
% 7.30/1.25 inference(resolution,[status(thm)],[f3984,f1340])).
% 7.30/1.25 fof(f4071,plain,(
% 7.30/1.25 spl0_101 <=> ~theorem(or(implies(or(p,q),p),X0))),
% 7.30/1.25 introduced(split_symbol_definition)).
% 7.30/1.25 fof(f4072,plain,(
% 7.30/1.25 ![X0]: (~theorem(or(implies(or(p,q),p),X0))|~spl0_101)),
% 7.30/1.25 inference(component_clause,[status(thm)],[f4071])).
% 7.30/1.25 fof(f4853,plain,(
% 7.30/1.25 ~theorem(or(q,implies(or(p,q),p)))|~spl0_4|~spl0_6),
% 7.30/1.25 inference(resolution,[status(thm)],[f4010,f47])).
% 7.30/1.25 fof(f6169,plain,(
% 7.30/1.25 $false|~spl0_101),
% 7.30/1.25 inference(resolution,[status(thm)],[f4072,f670])).
% 7.30/1.25 fof(f6170,plain,(
% 7.30/1.25 ~spl0_101),
% 7.30/1.25 inference(contradiction_clause,[status(thm)],[f6169])).
% 7.30/1.25 fof(f6179,plain,(
% 7.30/1.25 ~theorem(implies(or(p,q),or(q,p)))|~spl0_4|~spl0_6),
% 7.30/1.25 inference(resolution,[status(thm)],[f4853,f678])).
% 7.30/1.25 fof(f6180,plain,(
% 7.30/1.25 $false|~spl0_4|~spl0_6),
% 7.30/1.25 inference(forward_subsumption_resolution,[status(thm)],[f6179,f43])).
% 7.30/1.25 fof(f6181,plain,(
% 7.30/1.25 ~spl0_4|~spl0_6),
% 7.30/1.25 inference(contradiction_clause,[status(thm)],[f6180])).
% 7.30/1.25 fof(f6182,plain,(
% 7.30/1.25 $false),
% 7.30/1.25 inference(sat_refutation,[status(thm)],[f205,f223,f289,f6170,f6181])).
% 7.30/1.25 % SZS output end CNFRefutation for theBenchmark.p
% 7.30/1.28 % Elapsed time: 0.980616 seconds
% 7.30/1.28 % CPU time: 7.651263 seconds
% 7.30/1.28 % Total memory used: 159.624 MB
% 7.30/1.28 % Net memory used: 147.149 MB
%------------------------------------------------------------------------------