%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL403+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n026.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 11:20:55 AM UTC 2026
% Result : Theorem 214.98s 31.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL403+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 21:26:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 214.98/31.78 % Version : CSI_E---1.1
% 214.98/31.78 % Problem : theBenchmark.p
% 214.98/31.78 % Proof found!
% 214.98/31.78 % SZS status Theorem for theBenchmark.p
% 214.98/31.78 % SZS output start Proof
% 214.98/31.78 fof(condensed_detachment, axiom, ![X1, X2]:(((is_a_theorem(implies(X1,X2))&is_a_theorem(X1))=>is_a_theorem(X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 214.98/31.78 fof(f2, axiom, ![X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14, X15, X16, X17]:(is_a_theorem(implies(implies(implies(implies(implies(X3,implies(X4,X3)),implies(implies(X5,implies(X6,implies(X7,X6))),X8)),X8),implies(implies(implies(implies(implies(implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11))),implies(implies(implies(n(X12),X12),X12),X13)),X13),implies(implies(X14,implies(n(X14),X15)),X16)),X16),X17)),X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', f2)).
% 214.98/31.78 fof(f3, conjecture, is_a_theorem(implies(x,implies(n(y),n(implies(x,y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', f3)).
% 214.98/31.78 fof(c_0_3, plain, ![X18, X19]:((~is_a_theorem(implies(X18,X19))|~is_a_theorem(X18)|is_a_theorem(X19))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[condensed_detachment])])])).
% 214.98/31.78 fof(c_0_4, plain, ![X20, X21, X22, X23, X24, X25, X26, X27, X28, X29, X30, X31, X32, X33, X34]:(is_a_theorem(implies(implies(implies(implies(implies(X20,implies(X21,X20)),implies(implies(X22,implies(X23,implies(X24,X23))),X25)),X25),implies(implies(implies(implies(implies(implies(implies(X26,X27),implies(implies(X27,X28),implies(X26,X28))),implies(implies(implies(n(X29),X29),X29),X30)),X30),implies(implies(X31,implies(n(X31),X32)),X33)),X33),X34)),X34))), inference(variable_rename,[status(thm)],[f2])).
% 214.98/31.78 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 214.98/31.78 cnf(c_0_6, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X15)),X15))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 214.98/31.78 cnf(c_0_7, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,implies(X3,X2)),implies(implies(X4,implies(X5,implies(X6,X5))),X7)),X7),implies(implies(implies(implies(implies(implies(implies(X8,X9),implies(implies(X9,X10),implies(X8,X10))),implies(implies(implies(n(X11),X11),X11),X12)),X12),implies(implies(X13,implies(n(X13),X14)),X15)),X15),X1)))), inference(spm,[status(thm)],[c_0_5, c_0_6])).
% 214.98/31.78 cnf(c_0_8, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_7, c_0_6])).
% 214.98/31.78 cnf(c_0_9, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 214.98/31.78 cnf(c_0_10, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(X3,X2)),implies(implies(X4,implies(X5,implies(X6,X5))),X1)))), inference(spm,[status(thm)],[c_0_5, c_0_9])).
% 214.98/31.78 cnf(c_0_11, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_5, c_0_8])).
% 214.98/31.78 cnf(c_0_12, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_7, c_0_9])).
% 214.98/31.78 cnf(c_0_13, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(X3,implies(X4,X3))),X1))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 214.98/31.78 cnf(c_0_14, plain, (is_a_theorem(implies(X1,implies(implies(implies(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),implies(implies(implies(n(X5),X5),X5),X6)),X6),implies(implies(X7,implies(n(X7),X8)),X9)),X9)))), inference(spm,[status(thm)],[c_0_7, c_0_12])).
% 214.98/31.78 cnf(c_0_15, plain, (is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 214.98/31.78 cnf(c_0_16, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),implies(implies(implies(n(X5),X5),X5),X6)),X6),implies(implies(X7,implies(n(X7),X8)),X1)))), inference(spm,[status(thm)],[c_0_5, c_0_15])).
% 214.98/31.78 cnf(c_0_17, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5))), inference(spm,[status(thm)],[c_0_16, c_0_8])).
% 214.98/31.78 cnf(c_0_18, plain, (is_a_theorem(implies(X1,implies(implies(n(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_10, c_0_15])).
% 214.98/31.78 cnf(c_0_19, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_10, c_0_17])).
% 214.98/31.78 cnf(c_0_20, plain, (is_a_theorem(implies(implies(n(X1),X1),X1))), inference(spm,[status(thm)],[c_0_13, c_0_18])).
% 214.98/31.78 cnf(c_0_21, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,implies(X4,X3)),X2))), inference(spm,[status(thm)],[c_0_5, c_0_19])).
% 214.98/31.78 cnf(c_0_22, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_16, c_0_19])).
% 214.98/31.78 cnf(c_0_23, plain, (is_a_theorem(X1)|~is_a_theorem(implies(n(X1),X1))), inference(spm,[status(thm)],[c_0_5, c_0_20])).
% 214.98/31.78 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4))))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 214.98/31.78 cnf(c_0_25, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 214.98/31.78 cnf(c_0_26, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_5, c_0_25])).
% 214.98/31.78 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_26, c_0_22])).
% 214.98/31.78 cnf(c_0_28, plain, (is_a_theorem(implies(implies(implies(implies(n(X1),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_26, c_0_17])).
% 214.98/31.78 cnf(c_0_29, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_5, c_0_27])).
% 214.98/31.78 cnf(c_0_30, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(n(X2),X2),X2),X1))), inference(spm,[status(thm)],[c_0_5, c_0_28])).
% 214.98/31.78 cnf(c_0_31, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_5, c_0_22])).
% 214.98/31.78 cnf(c_0_32, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_5, c_0_29])).
% 214.98/31.78 cnf(c_0_33, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(n(X2),X2)))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 214.98/31.78 cnf(c_0_34, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X2),X3))), inference(spm,[status(thm)],[c_0_32, c_0_25])).
% 214.98/31.78 cnf(c_0_35, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(n(X2),X1))), inference(spm,[status(thm)],[c_0_33, c_0_31])).
% 214.98/31.78 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_34, c_0_20])).
% 214.98/31.78 cnf(c_0_37, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_5, c_0_31])).
% 214.98/31.78 cnf(c_0_38, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 214.98/31.78 cnf(c_0_39, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X3,X3),X2)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 214.98/31.78 cnf(c_0_40, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_34, c_0_22])).
% 214.98/31.78 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(X1,X1),implies(implies(X2,X2),X3)),X3))), inference(spm,[status(thm)],[c_0_39, c_0_38])).
% 214.98/31.78 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),X4))), inference(spm,[status(thm)],[c_0_35, c_0_40])).
% 214.98/31.78 cnf(c_0_43, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_34, c_0_41])).
% 214.98/31.78 cnf(c_0_44, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,X3),implies(X4,X3))),X1))), inference(spm,[status(thm)],[c_0_5, c_0_42])).
% 214.98/31.78 cnf(c_0_45, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(n(X2),X3)),X1))), inference(spm,[status(thm)],[c_0_16, c_0_11])).
% 214.98/31.78 cnf(c_0_46, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),X3))), inference(spm,[status(thm)],[c_0_35, c_0_43])).
% 214.98/31.78 cnf(c_0_47, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))), inference(spm,[status(thm)],[c_0_44, c_0_22])).
% 214.98/31.78 cnf(c_0_48, plain, (is_a_theorem(implies(implies(implies(n(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_45, c_0_22])).
% 214.98/31.78 cnf(c_0_49, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),X4),X4))), inference(spm,[status(thm)],[c_0_35, c_0_24])).
% 214.98/31.78 cnf(c_0_50, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X2),X3),X3),X1))), inference(spm,[status(thm)],[c_0_5, c_0_46])).
% 214.98/31.78 cnf(c_0_51, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),implies(X4,X3)),X2))), inference(spm,[status(thm)],[c_0_5, c_0_47])).
% 214.98/31.78 cnf(c_0_52, plain, (is_a_theorem(implies(implies(implies(n(n(X1)),X2),X1),X1))), inference(spm,[status(thm)],[c_0_33, c_0_48])).
% 214.98/31.78 cnf(c_0_53, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X3),X4),implies(X3,X4)),X1))), inference(spm,[status(thm)],[c_0_5, c_0_49])).
% 214.98/31.78 cnf(c_0_54, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2)))), inference(spm,[status(thm)],[c_0_50, c_0_22])).
% 214.98/31.78 cnf(c_0_55, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(n(X1),X3),X2))), inference(spm,[status(thm)],[c_0_5, c_0_48])).
% 214.98/31.78 cnf(c_0_56, plain, (is_a_theorem(implies(n(n(implies(X1,X2))),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
% 214.98/31.78 cnf(c_0_57, plain, (is_a_theorem(implies(implies(implies(X1,X1),implies(implies(X2,X3),X4)),implies(X3,X4)))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 214.98/31.78 cnf(c_0_58, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(n(X2),X4),X3))), inference(spm,[status(thm)],[c_0_32, c_0_48])).
% 214.98/31.78 cnf(c_0_59, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,n(X1)))), inference(spm,[status(thm)],[c_0_55, c_0_31])).
% 214.98/31.78 cnf(c_0_60, plain, (is_a_theorem(implies(n(n(implies(implies(X1,X1),X2))),X2))), inference(spm,[status(thm)],[c_0_39, c_0_56])).
% 214.98/31.78 cnf(c_0_61, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X3),implies(implies(X4,X1),X2)))), inference(spm,[status(thm)],[c_0_5, c_0_57])).
% 214.98/31.78 cnf(c_0_62, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X3,n(X2)))), inference(spm,[status(thm)],[c_0_58, c_0_31])).
% 214.98/31.78 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(n(n(implies(implies(X2,X2),n(X1)))),X3)))), inference(spm,[status(thm)],[c_0_59, c_0_60])).
% 214.98/31.78 cnf(c_0_64, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,n(implies(X4,X1))))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
% 214.98/31.78 cnf(c_0_65, plain, (is_a_theorem(implies(X1,n(implies(implies(X2,X2),n(X1)))))), inference(spm,[status(thm)],[c_0_33, c_0_63])).
% 214.98/31.78 cnf(c_0_66, plain, (is_a_theorem(implies(n(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 214.98/31.78 cnf(c_0_67, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(n(X1),X1),X2)))), inference(spm,[status(thm)],[c_0_30, c_0_22])).
% 214.98/31.78 cnf(c_0_68, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_35, c_0_66])).
% 214.98/31.78 cnf(c_0_69, plain, (is_a_theorem(implies(X1,implies(implies(n(X2),X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_21, c_0_67])).
% 214.98/31.78 cnf(c_0_70, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(implies(X4,X2),X3)))), inference(spm,[status(thm)],[c_0_37, c_0_25])).
% 214.98/31.78 cnf(c_0_71, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))), inference(spm,[status(thm)],[c_0_37, c_0_68])).
% 214.98/31.78 cnf(c_0_72, plain, (is_a_theorem(implies(implies(implies(X1,X1),n(X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_59, c_0_65])).
% 214.98/31.78 cnf(c_0_73, plain, (is_a_theorem(implies(implies(n(X1),X1),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_23, c_0_69])).
% 214.98/31.78 cnf(c_0_74, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(implies(X4,X3),X1))), inference(spm,[status(thm)],[c_0_70, c_0_31])).
% 214.98/31.78 cnf(c_0_75, plain, (is_a_theorem(implies(implies(implies(X1,X1),n(implies(X2,X3))),X2))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 214.98/31.78 cnf(c_0_76, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_33, c_0_29])).
% 214.98/31.78 cnf(c_0_77, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(n(X3),X3)))), inference(spm,[status(thm)],[c_0_37, c_0_73])).
% 214.98/31.78 cnf(c_0_78, plain, (is_a_theorem(implies(implies(X1,X2),implies(n(implies(X1,X3)),X2)))), inference(spm,[status(thm)],[c_0_74, c_0_75])).
% 214.98/31.78 cnf(c_0_79, plain, (is_a_theorem(implies(implies(X1,implies(n(X2),X2)),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_33, c_0_76])).
% 214.98/31.78 cnf(c_0_80, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(n(X3),X3),X3),X2))), inference(spm,[status(thm)],[c_0_32, c_0_28])).
% 214.98/31.78 cnf(c_0_81, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))), inference(spm,[status(thm)],[c_0_77, c_0_78])).
% 214.98/31.78 cnf(c_0_82, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,implies(n(X1),X1)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_5, c_0_79])).
% 214.98/31.78 cnf(c_0_83, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(n(X3),X3)))), inference(spm,[status(thm)],[c_0_80, c_0_31])).
% 214.98/31.78 cnf(c_0_84, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3))))), inference(spm,[status(thm)],[c_0_51, c_0_81])).
% 214.98/31.78 cnf(c_0_85, plain, (is_a_theorem(X1)|~is_a_theorem(implies(n(X1),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_82, c_0_31])).
% 214.98/31.78 cnf(c_0_86, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
% 214.98/31.78 cnf(c_0_87, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_37, c_0_76])).
% 214.98/31.78 cnf(c_0_88, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3)))), inference(spm,[status(thm)],[c_0_53, c_0_22])).
% 214.98/31.78 cnf(c_0_89, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,X3),X3)),X1))), inference(spm,[status(thm)],[c_0_85, c_0_86])).
% 214.98/31.78 cnf(c_0_90, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_87, c_0_22])).
% 214.98/31.78 cnf(c_0_91, plain, (is_a_theorem(implies(X1,implies(X2,implies(n(X2),X3))))), inference(spm,[status(thm)],[c_0_10, c_0_14])).
% 214.98/31.78 cnf(c_0_92, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_85, c_0_66])).
% 214.98/31.78 cnf(c_0_93, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(n(implies(X2,X3)),X4)))), inference(spm,[status(thm)],[c_0_45, c_0_88])).
% 214.98/31.78 cnf(c_0_94, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_89, c_0_90])).
% 214.98/31.78 cnf(c_0_95, plain, (is_a_theorem(implies(X1,implies(n(X1),X2)))), inference(spm,[status(thm)],[c_0_13, c_0_91])).
% 214.98/31.78 cnf(c_0_96, plain, (is_a_theorem(implies(implies(n(X1),X1),X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_5, c_0_67])).
% 214.98/31.78 cnf(c_0_97, plain, (is_a_theorem(implies(n(implies(X1,X2)),X1))), inference(spm,[status(thm)],[c_0_92, c_0_93])).
% 214.98/31.78 cnf(c_0_98, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_94, c_0_31])).
% 214.98/31.78 cnf(c_0_99, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))))), inference(spm,[status(thm)],[c_0_94, c_0_22])).
% 214.98/31.78 cnf(c_0_100, plain, (is_a_theorem(implies(X1,implies(X2,implies(n(implies(X3,X2)),X4))))), inference(spm,[status(thm)],[c_0_34, c_0_95])).
% 214.98/31.78 cnf(c_0_101, plain, (is_a_theorem(X1)|~is_a_theorem(implies(n(X2),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_5, c_0_96])).
% 214.98/31.78 cnf(c_0_102, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,n(X3)),X3),X3)))), inference(spm,[status(thm)],[c_0_80, c_0_88])).
% 214.98/31.78 cnf(c_0_103, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_35, c_0_97])).
% 214.98/31.78 cnf(c_0_104, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(X3,X1),X2))))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
% 214.98/31.78 cnf(c_0_105, plain, (is_a_theorem(implies(implies(implies(X1,implies(n(implies(X2,X1)),X3)),X4),X4))), inference(spm,[status(thm)],[c_0_35, c_0_100])).
% 214.98/31.78 cnf(c_0_106, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,n(X3)),X3),X3),X1))), inference(spm,[status(thm)],[c_0_101, c_0_102])).
% 214.98/31.78 cnf(c_0_107, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_32, c_0_103])).
% 214.98/31.78 cnf(c_0_108, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))))), inference(spm,[status(thm)],[c_0_94, c_0_104])).
% 214.98/31.78 cnf(c_0_109, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(n(implies(X3,X2)),X4)),X1))), inference(spm,[status(thm)],[c_0_5, c_0_105])).
% 214.98/31.78 cnf(c_0_110, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,n(X1)),X1),X2)))), inference(spm,[status(thm)],[c_0_106, c_0_22])).
% 214.98/31.78 cnf(c_0_111, plain, (is_a_theorem(implies(n(implies(X1,X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_70, c_0_66])).
% 214.98/31.78 cnf(c_0_112, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,implies(X2,X3)),X3))))), inference(spm,[status(thm)],[c_0_107, c_0_108])).
% 214.98/31.78 cnf(c_0_113, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X3)))|~is_a_theorem(implies(implies(X4,X2),X3))), inference(spm,[status(thm)],[c_0_51, c_0_90])).
% 214.98/31.78 cnf(c_0_114, plain, (is_a_theorem(implies(implies(n(X1),X1),implies(n(X1),X2)))), inference(spm,[status(thm)],[c_0_45, c_0_67])).
% 214.98/31.78 cnf(c_0_115, plain, (is_a_theorem(implies(implies(implies(X1,n(X2)),X2),implies(n(implies(X3,X2)),X4)))), inference(spm,[status(thm)],[c_0_109, c_0_110])).
% 214.98/31.78 cnf(c_0_116, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X2,X3),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_85, c_0_111])).
% 214.98/31.78 cnf(c_0_117, plain, (is_a_theorem(implies(X1,implies(n(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_45, c_0_31])).
% 214.98/31.78 cnf(c_0_118, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,implies(X2,X3)),X3)),X1))), inference(spm,[status(thm)],[c_0_85, c_0_112])).
% 214.98/31.78 cnf(c_0_119, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(n(X2),X3))))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
% 214.98/31.78 cnf(c_0_120, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_21, c_0_31])).
% 214.98/31.78 cnf(c_0_121, plain, (is_a_theorem(implies(n(implies(X1,X2)),n(X2)))), inference(spm,[status(thm)],[c_0_92, c_0_115])).
% 214.98/31.78 cnf(c_0_122, plain, (is_a_theorem(implies(n(X1),X2))|~is_a_theorem(implies(implies(X2,X3),X1))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
% 214.98/31.78 cnf(c_0_123, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,implies(X1,X3)),X3),X2))), inference(spm,[status(thm)],[c_0_118, c_0_90])).
% 214.98/31.78 cnf(c_0_124, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(n(X2),X3))))), inference(spm,[status(thm)],[c_0_98, c_0_119])).
% 214.98/31.78 cnf(c_0_125, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_23, c_0_120])).
% 214.98/31.78 cnf(c_0_126, plain, (is_a_theorem(implies(X1,n(X2)))|~is_a_theorem(implies(X1,n(implies(X3,X2))))), inference(spm,[status(thm)],[c_0_37, c_0_121])).
% 214.98/31.78 cnf(c_0_127, plain, (is_a_theorem(implies(n(X1),n(X2)))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_122, c_0_96])).
% 214.98/31.78 cnf(c_0_128, plain, (is_a_theorem(implies(X1,implies(implies(X1,implies(X1,X2)),implies(n(X2),X3))))), inference(spm,[status(thm)],[c_0_123, c_0_124])).
% 214.98/31.78 fof(c_0_129, negated_conjecture, ~is_a_theorem(implies(x,implies(n(y),n(implies(x,y))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[f3])])).
% 214.98/31.78 cnf(c_0_130, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(n(implies(X1,X2)),X2))), inference(spm,[status(thm)],[c_0_23, c_0_125])).
% 214.98/31.78 cnf(c_0_131, plain, (is_a_theorem(implies(n(X1),n(X2)))|~is_a_theorem(implies(implies(X3,X2),X1))), inference(spm,[status(thm)],[c_0_126, c_0_127])).
% 214.98/31.78 cnf(c_0_132, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,implies(n(X2),X3))))), inference(spm,[status(thm)],[c_0_98, c_0_128])).
% 214.98/31.78 fof(c_0_133, negated_conjecture, ~is_a_theorem(implies(x,implies(n(y),n(implies(x,y))))), inference(fof_nnf,[status(thm)],[c_0_129])).
% 214.98/31.78 cnf(c_0_134, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(n(implies(X1,implies(X2,X3))),X3))), inference(spm,[status(thm)],[c_0_130, c_0_125])).
% 214.98/31.78 cnf(c_0_135, plain, (is_a_theorem(implies(n(implies(X1,implies(n(X2),X3))),n(implies(X1,X2))))), inference(spm,[status(thm)],[c_0_131, c_0_132])).
% 214.98/31.78 cnf(c_0_136, negated_conjecture, (~is_a_theorem(implies(x,implies(n(y),n(implies(x,y)))))), inference(split_conjunct,[status(thm)],[c_0_133])).
% 214.98/31.78 cnf(c_0_137, plain, (is_a_theorem(implies(X1,implies(n(X2),n(implies(X1,X2)))))), inference(spm,[status(thm)],[c_0_134, c_0_135])).
% 214.98/31.78 cnf(c_0_138, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136, c_0_137])]), ['proof']).
% 214.98/31.78 % SZS output end Proof
% 214.98/31.78 % User time : 29.931 s
% 214.98/31.78 % System time : 0.884 s
% 214.98/31.78 % Total time : 30.815 s
% 214.98/31.78 % User time : 151.514 s
% 214.98/31.78 % System time : 1.782 s
% 214.98/31.78 % Total time : 153.296 s
% 214.98/31.78
%------------------------------------------------------------------------------