%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:11:08 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n004.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Mon Sep 21 01:04:49 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.70 % Refutation found
% 0.18/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.70 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.70 fof(f62,axiom,(
% 0.18/0.70 v_n____ = v_i____ ),
% 0.18/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.70 fof(f67,axiom,(
% 0.18/0.70 c_InductTermi_OIT(v_u____) ),
% 0.18/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.70 fof(f70,axiom,(
% 0.18/0.70 (![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) ) ))),
% 0.18/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.70 fof(f71,axiom,(
% 0.18/0.70 c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 0.18/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.70 fof(f73,axiom,(
% 0.18/0.70 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 0.18/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.70 fof(f74,negated_conjecture,(
% 0.18/0.70 ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)) ),
% 0.18/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.70 fof(f166,plain,(
% 0.18/0.70 v_n____=v_i____),
% 0.18/0.70 inference(cnf_transformation,[status(thm)],[f62])).
% 0.18/0.70 fof(f172,plain,(
% 0.18/0.70 c_InductTermi_OIT(v_u____)),
% 0.18/0.70 inference(cnf_transformation,[status(thm)],[f67])).
% 0.18/0.70 fof(f175,plain,(
% 0.18/0.70 ![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)))),
% 0.18/0.70 inference(miniscoping,[status(thm)],[f70])).
% 0.18/0.70 fof(f176,plain,(
% 0.18/0.70 ![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))),
% 0.18/0.70 inference(cnf_transformation,[status(thm)],[f175])).
% 0.18/0.70 fof(f177,plain,(
% 0.18/0.70 c_Type_Otyping(v_e____,v_u____,v_T____)),
% 0.18/0.70 inference(cnf_transformation,[status(thm)],[f71])).
% 0.18/0.70 fof(f179,plain,(
% 0.18/0.70 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____)),
% 0.18/0.70 inference(cnf_transformation,[status(thm)],[f73])).
% 0.18/0.70 fof(f180,plain,(
% 0.18/0.70 ~c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))),
% 0.18/0.70 inference(cnf_transformation,[status(thm)],[f74])).
% 0.18/0.70 fof(f192,plain,(
% 0.18/0.70 ~c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_n____))),
% 0.18/0.70 inference(backward_demodulation,[status(thm)],[f166,f180])).
% 0.18/0.70 fof(f1524,plain,(
% 0.18/0.70 c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____)),
% 0.18/0.70 inference(forward_demodulation,[status(thm)],[f166,f179])).
% 0.18/0.70 fof(f1525,plain,(
% 0.18/0.70 ![X0]: (c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,v_n____))|~c_Type_Otyping(v_e____,X0,v_T____)|~c_InductTermi_OIT(X0))),
% 0.18/0.70 inference(resolution,[status(thm)],[f1524,f176])).
% 0.18/0.70 fof(f2860,plain,(
% 0.18/0.70 c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_n____))|~c_InductTermi_OIT(v_u____)),
% 0.18/0.70 inference(resolution,[status(thm)],[f1525,f177])).
% 0.18/0.70 fof(f2861,plain,(
% 0.18/0.70 ~c_InductTermi_OIT(v_u____)),
% 0.18/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2860,f192])).
% 0.18/0.70 fof(f3036,plain,(
% 0.18/0.70 $false),
% 0.18/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2861,f172])).
% 0.18/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.73 % Elapsed time: 0.286541 seconds
% 0.18/0.73 % CPU time: 1.848744 seconds
% 0.18/0.73 % Total memory used: 134.217 MB
% 0.18/0.73 % Net memory used: 132.900 MB
%------------------------------------------------------------------------------