TSTP Solution File: LCL798-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL798-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:28:09 EDT 2024
% Result : Unsatisfiable 0.14s 0.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL798-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n012.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Mon Apr 29 20:20:26 EDT 2024
% 0.08/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.50 % Refutation found
% 0.14/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.50 fof(f62,axiom,(
% 0.14/0.50 v_n____ = v_i____ ),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f67,axiom,(
% 0.14/0.50 c_InductTermi_OIT(v_u____) ),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f70,axiom,(
% 0.14/0.50 (![V_u,V_i,V_e,V_T_H]: (( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,V_u,V_i))| ~ c_Type_Otyping(V_e,V_u,v_T____)| ~ c_InductTermi_OIT(V_u)| ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),v_a____,V_T_H) ) ))),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f71,axiom,(
% 0.14/0.50 c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f73,axiom,(
% 0.14/0.50 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f74,negated_conjecture,(
% 0.14/0.50 ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)) ),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f166,plain,(
% 0.14/0.50 v_n____=v_i____),
% 0.14/0.50 inference(cnf_transformation,[status(esa)],[f62])).
% 0.14/0.50 fof(f172,plain,(
% 0.14/0.50 c_InductTermi_OIT(v_u____)),
% 0.14/0.50 inference(cnf_transformation,[status(esa)],[f67])).
% 0.14/0.50 fof(f175,plain,(
% 0.14/0.50 ![V_i,V_e]: ((![V_u]: ((c_InductTermi_OIT(c_Lambda_Osubst(v_a____,V_u,V_i))|~c_Type_Otyping(V_e,V_u,v_T____))|~c_InductTermi_OIT(V_u)))|(![V_T_H]: ~c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),v_a____,V_T_H)))),
% 0.14/0.50 inference(miniscoping,[status(esa)],[f70])).
% 0.14/0.50 fof(f176,plain,(
% 0.14/0.50 ![X0,X1,X2,X3]: (c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,X1))|~c_Type_Otyping(X2,X0,v_T____)|~c_InductTermi_OIT(X0)|~c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3))),
% 0.14/0.50 inference(cnf_transformation,[status(esa)],[f175])).
% 0.14/0.50 fof(f177,plain,(
% 0.14/0.50 c_Type_Otyping(v_e____,v_u____,v_T____)),
% 0.14/0.50 inference(cnf_transformation,[status(esa)],[f71])).
% 0.14/0.50 fof(f179,plain,(
% 0.14/0.50 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____)),
% 0.14/0.50 inference(cnf_transformation,[status(esa)],[f73])).
% 0.14/0.50 fof(f180,plain,(
% 0.14/0.50 ~c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))),
% 0.14/0.50 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.50 fof(f254,plain,(
% 0.14/0.50 ~c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_n____))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f166,f180])).
% 0.14/0.50 fof(f3368,plain,(
% 0.14/0.50 c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f166,f179])).
% 0.14/0.50 fof(f3532,plain,(
% 0.14/0.50 spl0_135 <=> ~c_Type_Otyping(X0,v_u____,v_T____)|~c_Type_Otyping(c_Type_Oshift(X0,v_n____,v_T____,tc_Type_Otype),v_a____,X1)),
% 0.14/0.50 introduced(split_symbol_definition)).
% 0.14/0.50 fof(f3533,plain,(
% 0.14/0.50 ![X0,X1]: (~c_Type_Otyping(X0,v_u____,v_T____)|~c_Type_Otyping(c_Type_Oshift(X0,v_n____,v_T____,tc_Type_Otype),v_a____,X1)|~spl0_135)),
% 0.14/0.50 inference(component_clause,[status(thm)],[f3532])).
% 0.14/0.50 fof(f3535,plain,(
% 0.14/0.50 spl0_136 <=> c_InductTermi_OIT(v_u____)),
% 0.14/0.50 introduced(split_symbol_definition)).
% 0.14/0.50 fof(f3537,plain,(
% 0.14/0.50 ~c_InductTermi_OIT(v_u____)|spl0_136),
% 0.14/0.50 inference(component_clause,[status(thm)],[f3535])).
% 0.14/0.50 fof(f3538,plain,(
% 0.14/0.50 ![X0,X1]: (~c_Type_Otyping(X0,v_u____,v_T____)|~c_InductTermi_OIT(v_u____)|~c_Type_Otyping(c_Type_Oshift(X0,v_n____,v_T____,tc_Type_Otype),v_a____,X1))),
% 0.14/0.50 inference(resolution,[status(thm)],[f176,f254])).
% 0.14/0.50 fof(f3539,plain,(
% 0.14/0.50 spl0_135|~spl0_136),
% 0.14/0.50 inference(split_clause,[status(thm)],[f3538,f3532,f3535])).
% 0.14/0.50 fof(f3540,plain,(
% 0.14/0.50 $false|spl0_136),
% 0.14/0.50 inference(forward_subsumption_resolution,[status(thm)],[f3537,f172])).
% 0.14/0.50 fof(f3541,plain,(
% 0.14/0.50 spl0_136),
% 0.14/0.50 inference(contradiction_clause,[status(thm)],[f3540])).
% 0.14/0.50 fof(f3542,plain,(
% 0.14/0.50 ![X0]: (~c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,X0)|~spl0_135)),
% 0.14/0.50 inference(resolution,[status(thm)],[f3533,f177])).
% 0.14/0.50 fof(f3543,plain,(
% 0.14/0.50 $false|~spl0_135),
% 0.14/0.50 inference(backward_subsumption_resolution,[status(thm)],[f3368,f3542])).
% 0.14/0.50 fof(f3544,plain,(
% 0.14/0.50 ~spl0_135),
% 0.14/0.50 inference(contradiction_clause,[status(thm)],[f3543])).
% 0.14/0.51 fof(f3545,plain,(
% 0.14/0.51 $false),
% 0.14/0.51 inference(sat_refutation,[status(thm)],[f3539,f3541,f3544])).
% 0.14/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.52 % Elapsed time: 0.208473 seconds
% 0.14/0.52 % CPU time: 1.506581 seconds
% 0.14/0.52 % Total memory used: 98.181 MB
% 0.14/0.52 % Net memory used: 97.672 MB
%------------------------------------------------------------------------------