%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL787-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n017.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 3.94s 1.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL787-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n017.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 14:51:35 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 3.94/1.10 % Version : CSI_E---1.1
% 3.94/1.10 % Problem : theBenchmark.p
% 3.94/1.10 % Proof found!
% 3.94/1.10 # SZS status Unsatisfiable
% 3.94/1.10 % SZS output start Proof
% 3.94/1.10 cnf(cls_that_0, axiom, (v_thesis____|~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)|~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,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_that_0)).
% 3.94/1.10 cnf(cls_conjecture_0, negated_conjecture, (~v_thesis____), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 3.94/1.10 cnf(cls_True_0, axiom, (v_n____=v_i____), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_True_0)).
% 3.94/1.10 cnf(cls_typing__elims_I2_J_0, axiom, (c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_typing__elims_I2_J_0)).
% 3.94/1.10 cnf(cls_typing__elims_I2_J_1, axiom, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_typing__elims_I2_J_1)).
% 3.94/1.10 cnf(cls_headT_0, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_headT_0)).
% 3.94/1.10 cnf(c_0_6, plain, (v_thesis____|~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)|~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,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), inference(fof_simplification,[status(thm)],[cls_that_0])).
% 3.94/1.10 cnf(c_0_7, negated_conjecture, (~v_thesis____), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 3.94/1.10 cnf(c_0_8, plain, (v_thesis____|~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)|~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,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), c_0_6).
% 3.94/1.10 cnf(c_0_9, axiom, (v_n____=v_i____), cls_True_0).
% 3.94/1.10 cnf(c_0_10, negated_conjecture, (~v_thesis____), c_0_7).
% 3.94/1.10 cnf(c_0_11, plain, (c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3)), inference(fof_simplification,[status(thm)],[cls_typing__elims_I2_J_0])).
% 3.94/1.10 cnf(c_0_12, plain, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))|~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9]), c_0_10])).
% 3.94/1.10 cnf(c_0_13, plain, (c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3)), c_0_11).
% 3.94/1.10 cnf(c_0_14, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3)), inference(fof_simplification,[status(thm)],[cls_typing__elims_I2_J_1])).
% 3.94/1.10 cnf(c_0_15, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), cls_headT_0).
% 3.94/1.10 cnf(c_0_16, plain, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),X1))|~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 3.94/1.10 cnf(c_0_17, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3)), c_0_14).
% 3.94/1.10 cnf(c_0_18, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), inference(rw,[status(thm)],[c_0_15, c_0_9])).
% 3.94/1.10 cnf(c_0_19, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']).
% 3.94/1.10 % SZS output end Proof
% 3.94/1.10 % User time : 0.419 s
% 3.94/1.10 % System time : 0.021 s
% 3.94/1.10 % Total time : 0.440 s
% 3.94/1.10 % User time : 2.405 s
% 3.94/1.10 % System time : 0.097 s
% 3.94/1.10 % Total time : 2.501 s
% 3.94/1.10
%------------------------------------------------------------------------------