%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL377+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n005.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 11:20:51 AM UTC 2026
% Result : Theorem 30.85s 5.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL377+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 03:58:50 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.23/0.48 start to proof:theBenchmark.p
% 30.85/5.37 % Version : CSI_E---1.1
% 30.85/5.37 % Problem : theBenchmark.p
% 30.85/5.37 % Proof found!
% 30.85/5.37 % SZS status Theorem for theBenchmark.p
% 30.85/5.37 % SZS output start Proof
% 30.85/5.37 fof(condensed_detachment, axiom, ![X1, X2]:(((is_a_theorem(implies(X1,X2))&is_a_theorem(X1))=>is_a_theorem(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 30.85/5.37 fof(cn_1, axiom, ![X1, X2, X3]:(is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_1)).
% 30.85/5.37 fof(cn_2, axiom, ![X1]:(is_a_theorem(implies(implies(not(X1),X1),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_2)).
% 30.85/5.37 fof(cn_3, axiom, ![X1, X2]:(is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_3)).
% 30.85/5.37 fof(prove_cn_34, conjecture, is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_34)).
% 30.85/5.37 fof(c_0_5, plain, ![X4, X5]:((~is_a_theorem(implies(X4,X5))|~is_a_theorem(X4)|is_a_theorem(X5))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[condensed_detachment])])])).
% 30.85/5.37 fof(c_0_6, plain, ![X6, X7, X8]:(is_a_theorem(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))))), inference(variable_rename,[status(thm)],[cn_1])).
% 30.85/5.37 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 30.85/5.37 cnf(c_0_8, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 30.85/5.37 cnf(c_0_9, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 30.85/5.37 fof(c_0_10, plain, ![X9]:(is_a_theorem(implies(implies(not(X9),X9),X9))), inference(variable_rename,[status(thm)],[cn_2])).
% 30.85/5.37 cnf(c_0_11, 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_7, c_0_9])).
% 30.85/5.37 fof(c_0_12, plain, ![X10, X11]:(is_a_theorem(implies(X10,implies(not(X10),X11)))), inference(variable_rename,[status(thm)],[cn_3])).
% 30.85/5.37 cnf(c_0_13, plain, (is_a_theorem(implies(implies(not(X1),X1),X1))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 30.85/5.37 cnf(c_0_14, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(X4,X3)))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_11, c_0_9])).
% 30.85/5.37 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(not(X1),X2)))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 30.85/5.37 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_13])).
% 30.85/5.37 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 30.85/5.37 cnf(c_0_18, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 30.85/5.37 cnf(c_0_19, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_7, c_0_15])).
% 30.85/5.37 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 30.85/5.37 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,X4))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_14, c_0_20])).
% 30.85/5.37 cnf(c_0_22, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_7, c_0_13])).
% 30.85/5.37 cnf(c_0_23, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X1,implies(X4,X2)))), inference(spm,[status(thm)],[c_0_11, c_0_8])).
% 30.85/5.37 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X4,X3))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_21, c_0_20])).
% 30.85/5.37 cnf(c_0_25, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_16, c_0_15])).
% 30.85/5.37 cnf(c_0_26, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 30.85/5.37 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 30.85/5.37 cnf(c_0_28, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 30.85/5.37 cnf(c_0_29, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_16, c_0_28])).
% 30.85/5.37 cnf(c_0_30, 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_11, c_0_29])).
% 30.85/5.37 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_11, c_0_15])).
% 30.85/5.37 cnf(c_0_32, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_30, c_0_9])).
% 30.85/5.37 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(not(X2),X4),X3))), inference(spm,[status(thm)],[c_0_21, c_0_15])).
% 30.85/5.37 cnf(c_0_34, plain, (is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_16, c_0_13])).
% 30.85/5.37 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X4))|~is_a_theorem(implies(X4,X2))), inference(spm,[status(thm)],[c_0_11, c_0_31])).
% 30.85/5.37 cnf(c_0_36, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_32, c_0_13])).
% 30.85/5.37 cnf(c_0_37, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 30.85/5.37 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X3),X4)))|~is_a_theorem(implies(implies(implies(X2,X5),implies(X1,X5)),X3))), inference(spm,[status(thm)],[c_0_35, c_0_8])).
% 30.85/5.37 cnf(c_0_39, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 30.85/5.37 cnf(c_0_40, plain, (is_a_theorem(implies(implies(not(X1),X1),implies(not(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_35, c_0_13])).
% 30.85/5.37 cnf(c_0_41, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(not(implies(X1,X2)),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 30.85/5.37 cnf(c_0_42, plain, (is_a_theorem(implies(implies(not(X1),X1),X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_16, c_0_40])).
% 30.85/5.37 cnf(c_0_43, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_16, c_0_41])).
% 30.85/5.37 cnf(c_0_44, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(not(X3),X3))), inference(spm,[status(thm)],[c_0_24, c_0_13])).
% 30.85/5.37 cnf(c_0_45, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X3),X3)))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_11, c_0_42])).
% 30.85/5.37 cnf(c_0_46, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_43])).
% 30.85/5.37 cnf(c_0_47, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_26, c_0_44])).
% 30.85/5.37 cnf(c_0_48, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_33, c_0_13])).
% 30.85/5.37 cnf(c_0_49, plain, (is_a_theorem(implies(implies(not(X1),X2),X3))|~is_a_theorem(implies(implies(implies(X2,X1),X1),X3))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 30.85/5.37 cnf(c_0_50, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 30.85/5.37 cnf(c_0_51, plain, (is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3))))), inference(spm,[status(thm)],[c_0_33, c_0_25])).
% 30.85/5.37 cnf(c_0_52, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(implies(not(X1),X4),X2))), inference(spm,[status(thm)],[c_0_35, c_0_15])).
% 30.85/5.37 cnf(c_0_53, plain, (is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 30.85/5.37 cnf(c_0_54, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_26, c_0_51])).
% 30.85/5.37 cnf(c_0_55, plain, (is_a_theorem(implies(X1,implies(not(implies(X2,X1)),X3)))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 30.85/5.37 cnf(c_0_56, plain, (is_a_theorem(implies(implies(implies(not(not(X1)),X2),X1),X1))), inference(spm,[status(thm)],[c_0_16, c_0_54])).
% 30.85/5.37 cnf(c_0_57, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_18, c_0_20])).
% 30.85/5.37 cnf(c_0_58, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_7, c_0_31])).
% 30.85/5.37 cnf(c_0_59, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_45, c_0_55])).
% 30.85/5.37 cnf(c_0_60, plain, (is_a_theorem(implies(implies(not(X1),not(not(X1))),X1))), inference(spm,[status(thm)],[c_0_49, c_0_56])).
% 30.85/5.37 cnf(c_0_61, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(not(not(X3)))), inference(spm,[status(thm)],[c_0_44, c_0_57])).
% 30.85/5.37 cnf(c_0_62, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_58, c_0_13])).
% 30.85/5.37 cnf(c_0_63, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X2),X1))), inference(spm,[status(thm)],[c_0_16, c_0_9])).
% 30.85/5.37 cnf(c_0_64, plain, (is_a_theorem(implies(implies(implies(X1,implies(not(X1),X2)),X3),X3))), inference(spm,[status(thm)],[c_0_36, c_0_51])).
% 30.85/5.37 cnf(c_0_65, plain, (is_a_theorem(implies(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_59, c_0_60])).
% 30.85/5.37 cnf(c_0_66, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(not(not(X1)))), inference(spm,[status(thm)],[c_0_26, c_0_61])).
% 30.85/5.37 cnf(c_0_67, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),X2))), inference(spm,[status(thm)],[c_0_18, c_0_62])).
% 30.85/5.37 cnf(c_0_68, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),X2))|~is_a_theorem(implies(not(implies(not(X2),X2)),X1))), inference(spm,[status(thm)],[c_0_16, c_0_63])).
% 30.85/5.37 cnf(c_0_69, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(implies(X1,implies(not(X2),X3))),X4)))), inference(spm,[status(thm)],[c_0_38, c_0_64])).
% 30.85/5.37 cnf(c_0_70, plain, (is_a_theorem(implies(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_18, c_0_65])).
% 30.85/5.37 cnf(c_0_71, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(not(not(X1)))), inference(spm,[status(thm)],[c_0_16, c_0_66])).
% 30.85/5.37 cnf(c_0_72, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(not(implies(implies(X2,X3),implies(X4,X3))),implies(X4,X2)))), inference(spm,[status(thm)],[c_0_67, c_0_23])).
% 30.85/5.37 cnf(c_0_73, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,implies(not(X2),X2))))|~is_a_theorem(implies(not(implies(not(X2),X2)),X3))), inference(spm,[status(thm)],[c_0_11, c_0_68])).
% 30.85/5.37 cnf(c_0_74, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(not(X2),X3))))), inference(spm,[status(thm)],[c_0_16, c_0_69])).
% 30.85/5.37 cnf(c_0_75, plain, (is_a_theorem(implies(X1,not(not(implies(X2,X1)))))), inference(spm,[status(thm)],[c_0_59, c_0_70])).
% 30.85/5.37 cnf(c_0_76, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(not(not(X3)))), inference(spm,[status(thm)],[c_0_11, c_0_71])).
% 30.85/5.37 cnf(c_0_77, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(not(X2),X2),X3))))), inference(spm,[status(thm)],[c_0_72, c_0_37])).
% 30.85/5.37 cnf(c_0_78, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_7, c_0_63])).
% 30.85/5.37 cnf(c_0_79, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,not(X3)))|~is_a_theorem(implies(not(X3),X3))), inference(spm,[status(thm)],[c_0_11, c_0_62])).
% 30.85/5.37 cnf(c_0_80, plain, (is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),X4))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_58, c_0_8])).
% 30.85/5.37 fof(c_0_81, negated_conjecture, ~is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_cn_34])])).
% 30.85/5.37 cnf(c_0_82, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(implies(not(X2),X2)),X1))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
% 30.85/5.37 cnf(c_0_83, plain, (is_a_theorem(implies(not(implies(X1,not(X2))),X2))), inference(spm,[status(thm)],[c_0_18, c_0_75])).
% 30.85/5.37 cnf(c_0_84, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X3)))|~is_a_theorem(not(not(implies(X2,X3))))), inference(spm,[status(thm)],[c_0_76, c_0_77])).
% 30.85/5.37 cnf(c_0_85, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(not(X2),X3),X1))|~is_a_theorem(implies(not(X1),X2))), inference(spm,[status(thm)],[c_0_78, c_0_31])).
% 30.85/5.37 cnf(c_0_86, plain, (is_a_theorem(implies(implies(not(not(X1)),not(X1)),X2))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_79, c_0_13])).
% 30.85/5.37 cnf(c_0_87, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X4,X2))), inference(spm,[status(thm)],[c_0_18, c_0_80])).
% 30.85/5.37 cnf(c_0_88, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_16, c_0_46])).
% 30.85/5.37 fof(c_0_89, negated_conjecture, ~is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))), inference(fof_nnf,[status(thm)],[c_0_81])).
% 30.85/5.37 cnf(c_0_90, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(implies(not(X2),X3))), inference(spm,[status(thm)],[c_0_11, c_0_63])).
% 30.85/5.37 cnf(c_0_91, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_30, c_0_8])).
% 30.85/5.37 cnf(c_0_92, plain, (is_a_theorem(implies(implies(X1,not(X1)),not(X1)))), inference(spm,[status(thm)],[c_0_82, c_0_83])).
% 30.85/5.37 cnf(c_0_93, plain, (is_a_theorem(implies(implies(not(X1),X1),X2))|~is_a_theorem(not(not(implies(X1,X2))))), inference(spm,[status(thm)],[c_0_22, c_0_84])).
% 30.85/5.37 cnf(c_0_94, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),not(X2)))|~is_a_theorem(implies(not(X2),X2))), inference(spm,[status(thm)],[c_0_85, c_0_86])).
% 30.85/5.37 cnf(c_0_95, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X2,implies(X5,X4)))|~is_a_theorem(implies(X3,X5))), inference(spm,[status(thm)],[c_0_14, c_0_87])).
% 30.85/5.37 cnf(c_0_96, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_59, c_0_88])).
% 30.85/5.37 cnf(c_0_97, negated_conjecture, (~is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u)))))), inference(split_conjunct,[status(thm)],[c_0_89])).
% 30.85/5.37 cnf(c_0_98, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(not(X3),X1))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 30.85/5.37 cnf(c_0_99, plain, (is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(implies(X1,implies(X2,not(X2))))), inference(spm,[status(thm)],[c_0_11, c_0_92])).
% 30.85/5.37 cnf(c_0_100, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(not(not(implies(X1,X2))))), inference(spm,[status(thm)],[c_0_52, c_0_93])).
% 30.85/5.37 cnf(c_0_101, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_94, c_0_65])).
% 30.85/5.37 cnf(c_0_102, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X3,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_95, c_0_96])).
% 30.85/5.37 cnf(c_0_103, negated_conjecture, (~is_a_theorem(implies(implies(y,implies(z,u)),implies(implies(z,x),implies(y,implies(z,u)))))|~is_a_theorem(implies(not(implies(implies(z,x),implies(y,implies(z,u)))),x))), inference(spm,[status(thm)],[c_0_97, c_0_98])).
% 30.85/5.37 cnf(c_0_104, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))|~is_a_theorem(implies(X3,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_14, c_0_8])).
% 30.85/5.37 cnf(c_0_105, plain, (is_a_theorem(implies(X1,not(not(X2))))|~is_a_theorem(not(not(implies(X1,X2))))), inference(spm,[status(thm)],[c_0_99, c_0_100])).
% 30.85/5.37 cnf(c_0_106, plain, (is_a_theorem(not(not(implies(X1,implies(X2,X3)))))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_101, c_0_102])).
% 30.85/5.37 cnf(c_0_107, negated_conjecture, (~is_a_theorem(implies(not(implies(implies(z,x),implies(y,implies(z,u)))),x))|~is_a_theorem(implies(implies(z,x),implies(implies(z,u),implies(z,u))))), inference(spm,[status(thm)],[c_0_103, c_0_104])).
% 30.85/5.37 cnf(c_0_108, plain, (is_a_theorem(implies(X1,not(not(implies(X2,X3)))))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_105, c_0_106])).
% 30.85/5.37 cnf(c_0_109, negated_conjecture, (~is_a_theorem(implies(not(implies(implies(z,x),implies(y,implies(z,u)))),x))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_48])])).
% 30.85/5.37 cnf(c_0_110, plain, (is_a_theorem(implies(not(implies(X1,X2)),X3))|~is_a_theorem(implies(X1,implies(not(X3),X2)))), inference(spm,[status(thm)],[c_0_18, c_0_108])).
% 30.85/5.37 cnf(c_0_111, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(not(implies(X2,X3)),implies(X4,X3)))|~is_a_theorem(implies(X1,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_90, c_0_23])).
% 30.85/5.37 cnf(c_0_112, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_33, c_0_53])).
% 30.85/5.37 cnf(c_0_113, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(not(X3),not(X2)))), inference(spm,[status(thm)],[c_0_33, c_0_63])).
% 30.85/5.37 cnf(c_0_114, negated_conjecture, (~is_a_theorem(implies(implies(z,x),implies(not(x),implies(y,implies(z,u)))))), inference(spm,[status(thm)],[c_0_109, c_0_110])).
% 30.85/5.37 cnf(c_0_115, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X1,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_111, c_0_112])).
% 30.85/5.37 cnf(c_0_116, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X2,implies(X5,X4)))|~is_a_theorem(implies(X1,implies(X3,X5)))), inference(spm,[status(thm)],[c_0_14, c_0_23])).
% 30.85/5.37 cnf(c_0_117, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(not(implies(X1,X3)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_90, c_0_8])).
% 30.85/5.37 cnf(c_0_118, plain, (is_a_theorem(implies(X1,implies(X2,not(not(X2)))))), inference(spm,[status(thm)],[c_0_113, c_0_65])).
% 30.85/5.37 cnf(c_0_119, negated_conjecture, (~is_a_theorem(implies(implies(z,x),implies(not(x),implies(z,u))))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
% 30.85/5.37 cnf(c_0_120, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X1,implies(X3,not(X2))))), inference(spm,[status(thm)],[c_0_116, c_0_15])).
% 30.85/5.37 cnf(c_0_121, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,not(not(X2)))))), inference(spm,[status(thm)],[c_0_117, c_0_118])).
% 30.85/5.37 cnf(c_0_122, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_121])]), ['proof']).
% 30.85/5.37 % SZS output end Proof
% 30.85/5.37 % User time : 4.544 s
% 30.85/5.37 % System time : 0.151 s
% 30.85/5.37 % Total time : 4.695 s
% 30.85/5.37 % User time : 4.545 s
% 30.85/5.37 % System time : 0.155 s
% 30.85/5.37 % Total time : 4.700 s
% 30.85/5.37
%------------------------------------------------------------------------------