%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL847-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n020.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 11:21:50 AM UTC 2026
% Result : Unsatisfiable 130.86s 19.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL847-1 : 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 : n020.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 : Sat Sep 5 06:45:57 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 130.86/19.53 % Version : CSI_E---1.1
% 130.86/19.53 % Problem : theBenchmark.p
% 130.86/19.53 % Proof found!
% 130.86/19.53 # SZS status Unsatisfiable
% 130.86/19.53 % SZS output start Proof
% 130.86/19.53 cnf(cls_set__takeWhileD_1, axiom, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_List_Oset(c_List_OtakeWhile(X1,X3,X4),X4),X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_set__takeWhileD_1)).
% 130.86/19.53 cnf(cls_in__listsp__conv__set_2, axiom, (c_List_Olistsp(X1,X2,X3)|~hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_in__listsp__conv__set_2)).
% 130.86/19.53 cnf(cls_in__listsp__conv__set_1, axiom, (c_List_Olistsp(X1,X2,X3)|c_in(c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3),c_List_Oset(X2,X3),X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_in__listsp__conv__set_1)).
% 130.86/19.53 cnf(cls_takeWhile_Osimps_I2_J_0, axiom, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)|~hBOOL(hAPP(X1,X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_takeWhile_Osimps_I2_J_0)).
% 130.86/19.53 cnf(cls_App_I4_J_0, axiom, (hBOOL(hAPP(c_InductTermi_OIT,v_ta____))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_App_I4_J_0)).
% 130.86/19.53 cnf(cls_lifts__IT_0, axiom, (c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)|~c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_lifts__IT_0)).
% 130.86/19.53 cnf(cls_takeWhile_Osimps_I1_J_0, axiom, (c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_takeWhile_Osimps_I1_J_0)).
% 130.86/19.53 cnf(cls_map__eq__Cons__conv_3, axiom, (c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5)=c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_map__eq__Cons__conv_3)).
% 130.86/19.53 cnf(cls_Nil__is__map__conv_1, axiom, (c_List_Olist_ONil(X1)=c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Nil__is__map__conv_1)).
% 130.86/19.53 cnf(cls_conjecture_0, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 130.86/19.53 cnf(cls_COMBC__def_0, axiom, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_COMBC__def_0)).
% 130.86/19.53 cnf(c_0_11, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_List_Oset(c_List_OtakeWhile(X1,X3,X4),X4),X4)), inference(fof_simplification,[status(thm)],[cls_set__takeWhileD_1])).
% 130.86/19.53 cnf(c_0_12, plain, (c_List_Olistsp(X1,X2,X3)|~hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[cls_in__listsp__conv__set_2])).
% 130.86/19.53 cnf(c_0_13, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_List_Oset(c_List_OtakeWhile(X1,X3,X4),X4),X4)), c_0_11).
% 130.86/19.53 cnf(c_0_14, axiom, (c_List_Olistsp(X1,X2,X3)|c_in(c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3),c_List_Oset(X2,X3),X3)), cls_in__listsp__conv__set_1).
% 130.86/19.53 cnf(c_0_15, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)|~hBOOL(hAPP(X1,X2))), inference(fof_simplification,[status(thm)],[cls_takeWhile_Osimps_I2_J_0])).
% 130.86/19.53 cnf(c_0_16, plain, (c_List_Olistsp(X1,X2,X3)|~hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3)))), c_0_12).
% 130.86/19.53 cnf(c_0_17, plain, (c_List_Olistsp(X1,c_List_OtakeWhile(X2,X3,X4),X4)|hBOOL(hAPP(X2,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,c_List_OtakeWhile(X2,X3,X4),X4)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 130.86/19.53 cnf(c_0_18, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)|~hBOOL(hAPP(X1,X2))), c_0_15).
% 130.86/19.53 cnf(c_0_19, axiom, (hBOOL(hAPP(c_InductTermi_OIT,v_ta____))), cls_App_I4_J_0).
% 130.86/19.53 cnf(c_0_20, plain, (c_List_Olistsp(X1,c_List_OtakeWhile(X1,X2,X3),X3)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 130.86/19.53 cnf(c_0_21, plain, (c_List_OtakeWhile(c_InductTermi_OIT,c_List_Olist_OCons(v_ta____,X1,X2),X2)=c_List_Olist_OCons(v_ta____,c_List_OtakeWhile(c_InductTermi_OIT,X1,X2),X2)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 130.86/19.53 cnf(c_0_22, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)|~c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB)), inference(fof_simplification,[status(thm)],[cls_lifts__IT_0])).
% 130.86/19.53 cnf(c_0_23, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(v_ta____,c_List_OtakeWhile(c_InductTermi_OIT,X1,X2),X2),X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 130.86/19.53 cnf(c_0_24, axiom, (c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2)), cls_takeWhile_Osimps_I1_J_0).
% 130.86/19.53 cnf(c_0_25, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)|~c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB)), c_0_22).
% 130.86/19.53 cnf(c_0_26, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(v_ta____,c_List_Olist_ONil(X1),X1),X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 130.86/19.53 cnf(c_0_27, axiom, (c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5)=c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5)), cls_map__eq__Cons__conv_3).
% 130.86/19.53 cnf(c_0_28, axiom, (c_List_Olist_ONil(X1)=c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)), cls_Nil__is__map__conv_1).
% 130.86/19.53 cnf(c_0_29, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 130.86/19.53 cnf(c_0_30, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_ta____,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 130.86/19.53 cnf(c_0_31, plain, (c_List_Omap(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3,X4)=c_List_Olist_OCons(hAPP(X1,X2),c_List_Olist_ONil(X4),X4)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 130.86/19.53 cnf(c_0_32, axiom, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2)), cls_COMBC__def_0).
% 130.86/19.53 cnf(c_0_33, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)), c_0_29).
% 130.86/19.53 cnf(c_0_34, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33]), ['proof']).
% 130.86/19.53 % SZS output end Proof
% 130.86/19.53 % User time : 17.699 s
% 130.86/19.53 % System time : 0.842 s
% 130.86/19.53 % Total time : 18.541 s
% 130.86/19.53 % User time : 71.296 s
% 130.86/19.53 % System time : 2.454 s
% 130.86/19.53 % Total time : 73.750 s
% 130.86/19.53
%------------------------------------------------------------------------------