%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL786-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n008.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 7.77s 1.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL786-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 4 23:29:53 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 7.77/1.62 % Version : CSI_E---1.1
% 7.77/1.62 % Problem : theBenchmark.p
% 7.77/1.62 % Proof found!
% 7.77/1.62 # SZS status Unsatisfiable
% 7.77/1.62 % SZS output start Proof
% 7.77/1.62 cnf(cls_that_0, axiom, (v_thesis____|~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X1)|~hBOOL(hAPP(hAPP(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,X1,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_that_0)).
% 7.77/1.62 cnf(cls_foldr__foldl_0, axiom, (c_List_Ofoldr(X1,X2,X3,X4,X5)=c_List_Ofoldl(c_COMBC(X1,X4,X5,X5),X3,c_List_Orev(X2,X4),X5,X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_foldr__foldl_0)).
% 7.77/1.62 cnf(cls_conjecture_0, negated_conjecture, (~v_thesis____), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 7.77/1.62 cnf(cls_list__app__typeD_0, axiom, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_list__app__typeD_0)).
% 7.77/1.62 cnf(cls_True_0, axiom, (v_n____=v_i____), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_True_0)).
% 7.77/1.62 cnf(cls_list__app__typeD_1, axiom, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_list__app__typeD_1)).
% 7.77/1.62 cnf(cls_CHAINED_0, axiom, (hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 7.77/1.62 cnf(c_0_7, plain, (v_thesis____|~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X1)|~hBOOL(hAPP(hAPP(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,X1,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), inference(fof_simplification,[status(thm)],[cls_that_0])).
% 7.77/1.62 cnf(c_0_8, plain, (v_thesis____|~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X1)|~hBOOL(hAPP(hAPP(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,X1,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), c_0_7).
% 7.77/1.62 cnf(c_0_9, axiom, (c_List_Ofoldr(X1,X2,X3,X4,X5)=c_List_Ofoldl(c_COMBC(X1,X4,X5,X5),X3,c_List_Orev(X2,X4),X5,X4)), cls_foldr__foldl_0).
% 7.77/1.62 cnf(c_0_10, negated_conjecture, (~v_thesis____), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 7.77/1.62 cnf(c_0_11, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X3))), inference(fof_simplification,[status(thm)],[cls_list__app__typeD_0])).
% 7.77/1.62 cnf(c_0_12, plain, (v_thesis____|~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X1)|~hBOOL(hAPP(hAPP(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_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(X1,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))), inference(rw,[status(thm)],[c_0_8, c_0_9])).
% 7.77/1.62 cnf(c_0_13, axiom, (v_n____=v_i____), cls_True_0).
% 7.77/1.62 cnf(c_0_14, negated_conjecture, (~v_thesis____), c_0_10).
% 7.77/1.62 cnf(c_0_15, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X3))), c_0_11).
% 7.77/1.62 cnf(c_0_16, plain, (~c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,X1)|~hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype)),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____)),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(X1,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13]), c_0_13]), c_0_14])).
% 7.77/1.62 cnf(c_0_17, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X3,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X3))), inference(rw,[status(thm)],[c_0_15, c_0_9])).
% 7.77/1.62 cnf(c_0_18, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))), inference(fof_simplification,[status(thm)],[cls_list__app__typeD_1])).
% 7.77/1.62 cnf(c_0_19, axiom, (hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____))), cls_CHAINED_0).
% 7.77/1.62 cnf(c_0_20, plain, (~c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,c_Type_Osko__Type__Xlist__app__typeD__1__1(v_T_H____,c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),X1))|~hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),X1,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 7.77/1.62 cnf(c_0_21, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))), c_0_18).
% 7.77/1.62 cnf(c_0_22, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____))), inference(rw,[status(thm)],[c_0_19, c_0_13])).
% 7.77/1.62 cnf(c_0_23, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])]), ['proof']).
% 7.77/1.62 % SZS output end Proof
% 7.77/1.62 % User time : 1.025 s
% 7.77/1.62 % System time : 0.036 s
% 7.77/1.62 % Total time : 1.061 s
% 7.77/1.62 % User time : 4.134 s
% 7.77/1.62 % System time : 0.181 s
% 7.77/1.62 % Total time : 4.315 s
% 7.77/1.62
%------------------------------------------------------------------------------