%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n007.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 : Mon Sep 7 11:21:41 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.33 % Computer : n007.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 6 00:17:24 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.46 start to proof:theBenchmark.p
% 0.24/0.54 % Version : CSI_E---1.1
% 0.24/0.54 % Problem : theBenchmark.p
% 0.24/0.54 % Proof found!
% 0.24/0.54 # SZS status Unsatisfiable
% 0.24/0.54 % SZS output start Proof
% 0.24/0.54 cnf(cls_typing__elims_I1_J_0, axiom, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_typing__elims_I1_J_0)).
% 0.24/0.54 cnf(cls_varT_0, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_varT_0)).
% 0.24/0.54 cnf(cls_True_0, axiom, (v_n____=v_i____), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_True_0)).
% 0.24/0.54 cnf(cls_conjecture_0, negated_conjecture, (v_T____!=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.24/0.54 cnf(cls_shift__eq_0, axiom, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_shift__eq_0)).
% 0.24/0.54 cnf(c_0_5, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3)), inference(fof_simplification,[status(thm)],[cls_typing__elims_I1_J_0])).
% 0.24/0.54 cnf(c_0_6, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), cls_varT_0).
% 0.24/0.54 cnf(c_0_7, axiom, (v_n____=v_i____), cls_True_0).
% 0.24/0.54 cnf(c_0_8, negated_conjecture, (v_T____!=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.24/0.54 cnf(c_0_9, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3)), c_0_5).
% 0.24/0.54 cnf(c_0_10, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), inference(rw,[status(thm)],[c_0_6, c_0_7])).
% 0.24/0.54 cnf(c_0_11, axiom, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3), cls_shift__eq_0).
% 0.24/0.54 cnf(c_0_12, negated_conjecture, (v_T____!=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), c_0_8).
% 0.24/0.54 cnf(c_0_13, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12]), ['proof']).
% 0.24/0.54 % SZS output end Proof
% 0.24/0.54 % User time : 0.008 s
% 0.24/0.54 % System time : 0.001 s
% 0.24/0.54 % Total time : 0.009 s
% 0.24/0.54 % User time : 0.011 s
% 0.24/0.54 % System time : 0.005 s
% 0.24/0.54 % Total time : 0.016 s
% 0.24/0.54
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