%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL093-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n009.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 11:20:19 AM UTC 2026
% Result : Unsatisfiable 4.39s 1.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL093-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n009.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 06:58:36 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 4.39/1.15 % Version : CSI_E---1.1
% 4.39/1.15 % Problem : theBenchmark.p
% 4.39/1.15 % Proof found!
% 4.39/1.15 # SZS status Unsatisfiable
% 4.39/1.15 % SZS output start Proof
% 4.39/1.15 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 4.39/1.15 cnf(ic_JLukasiewicz_5, axiom, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_JLukasiewicz_5)).
% 4.39/1.15 cnf(prove_ic_4, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_ic_4)).
% 4.39/1.15 cnf(c_0_3, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 4.39/1.15 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 4.39/1.15 cnf(c_0_5, axiom, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1)))))), ic_JLukasiewicz_5).
% 4.39/1.15 cnf(c_0_6, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2))))|~is_a_theorem(implies(implies(X2,X5),implies(X4,X1)))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 4.39/1.15 cnf(c_0_7, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X5,implies(implies(X6,X3),implies(X3,X4)))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 4.39/1.15 cnf(c_0_8, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X4))))|~is_a_theorem(implies(implies(X5,implies(X6,X3)),implies(X3,X4)))), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 4.39/1.15 cnf(c_0_9, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(implies(X4,X5),implies(X5,X3))))))), inference(spm,[status(thm)],[c_0_8, c_0_7])).
% 4.39/1.15 cnf(c_0_10, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_9])).
% 4.39/1.15 cnf(c_0_11, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_10, c_0_5])).
% 4.39/1.15 cnf(c_0_12, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,X3)),X4),implies(X5,implies(X3,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_11])).
% 4.39/1.15 cnf(c_0_13, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3))))))), inference(spm,[status(thm)],[c_0_8, c_0_12])).
% 4.39/1.15 cnf(c_0_14, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_13])).
% 4.39/1.15 cnf(c_0_15, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_14, c_0_5])).
% 4.39/1.15 cnf(c_0_16, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X5,implies(X3,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_15])).
% 4.39/1.15 cnf(c_0_17, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1))))))), inference(spm,[status(thm)],[c_0_6, c_0_16])).
% 4.39/1.15 cnf(c_0_18, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X5)))))|~is_a_theorem(implies(implies(X5,X6),implies(X3,implies(X4,X5))))), inference(spm,[status(thm)],[c_0_4, c_0_17])).
% 4.39/1.15 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X5,implies(X4,X4))))))), inference(spm,[status(thm)],[c_0_18, c_0_5])).
% 4.39/1.15 cnf(c_0_20, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_19])).
% 4.39/1.15 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))), inference(spm,[status(thm)],[c_0_20, c_0_5])).
% 4.39/1.15 cnf(c_0_22, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_21])).
% 4.39/1.15 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2))))), inference(spm,[status(thm)],[c_0_22, c_0_5])).
% 4.39/1.15 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X4)))))), inference(spm,[status(thm)],[c_0_18, c_0_23])).
% 4.39/1.15 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_24])).
% 4.39/1.15 cnf(c_0_26, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))), inference(spm,[status(thm)],[c_0_25, c_0_5])).
% 4.39/1.15 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(X2,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_26])).
% 4.39/1.15 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_27, c_0_5])).
% 4.39/1.15 cnf(c_0_29, plain, (is_a_theorem(implies(X1,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_28])).
% 4.39/1.15 cnf(c_0_30, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_29, c_0_5])).
% 4.39/1.15 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_18, c_0_30])).
% 4.39/1.15 cnf(c_0_32, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_31])).
% 4.39/1.15 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_32, c_0_5])).
% 4.39/1.15 cnf(c_0_34, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,implies(X5,X2)),X3))), inference(spm,[status(thm)],[c_0_4, c_0_16])).
% 4.39/1.15 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(X2,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_33])).
% 4.39/1.15 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))), inference(spm,[status(thm)],[c_0_34, c_0_5])).
% 4.39/1.15 cnf(c_0_37, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X2))))))), inference(spm,[status(thm)],[c_0_34, c_0_16])).
% 4.39/1.15 cnf(c_0_38, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_35, c_0_5])).
% 4.39/1.15 cnf(c_0_39, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_36])).
% 4.39/1.15 cnf(c_0_40, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_37])).
% 4.39/1.15 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(X4,X1))))), inference(spm,[status(thm)],[c_0_6, c_0_38])).
% 4.39/1.15 cnf(c_0_42, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_39, c_0_5])).
% 4.39/1.15 cnf(c_0_43, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))), inference(spm,[status(thm)],[c_0_40, c_0_5])).
% 4.39/1.15 cnf(c_0_44, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X3,X4),X3))), inference(spm,[status(thm)],[c_0_4, c_0_41])).
% 4.39/1.15 cnf(c_0_45, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X5,implies(implies(implies(X4,X6),X3),X4))))), inference(spm,[status(thm)],[c_0_6, c_0_42])).
% 4.39/1.15 cnf(c_0_46, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_43])).
% 4.39/1.15 cnf(c_0_47, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(implies(X4,X5),X4),X4)))))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 4.39/1.15 cnf(c_0_48, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(X4)|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_46])).
% 4.39/1.15 cnf(c_0_49, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_47])).
% 4.39/1.15 cnf(c_0_50, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_48, c_0_5])).
% 4.39/1.15 cnf(c_0_51, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))), inference(spm,[status(thm)],[c_0_49, c_0_5])).
% 4.39/1.15 cnf(c_0_52, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X3)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_50])).
% 4.39/1.15 cnf(c_0_53, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_51])).
% 4.39/1.15 cnf(c_0_54, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_52, c_0_5])).
% 4.39/1.15 cnf(c_0_55, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))), inference(spm,[status(thm)],[c_0_53, c_0_5])).
% 4.39/1.15 cnf(c_0_56, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2))))|~is_a_theorem(implies(X4,X1))), inference(spm,[status(thm)],[c_0_6, c_0_54])).
% 4.39/1.15 cnf(c_0_57, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_55])).
% 4.39/1.15 cnf(c_0_58, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X4,X3))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_4, c_0_56])).
% 4.39/1.15 cnf(c_0_59, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_57, c_0_5])).
% 4.39/1.15 cnf(c_0_60, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(implies(X3,X4),X3)))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 4.39/1.15 cnf(c_0_61, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(implies(X1,X4),X1),X2))))), inference(spm,[status(thm)],[c_0_6, c_0_55])).
% 4.39/1.15 cnf(c_0_62, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_4, c_0_59])).
% 4.39/1.15 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X2,X4),X2),X3))))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
% 4.39/1.15 cnf(c_0_64, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2)))), inference(spm,[status(thm)],[c_0_62, c_0_63])).
% 4.39/1.15 cnf(c_0_65, plain, (is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3))))), inference(spm,[status(thm)],[c_0_60, c_0_64])).
% 4.39/1.15 cnf(c_0_66, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,implies(X5,X3))))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_6, c_0_56])).
% 4.39/1.15 cnf(c_0_67, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_62, c_0_65])).
% 4.39/1.15 cnf(c_0_68, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X5),X3))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_4, c_0_66])).
% 4.39/1.15 cnf(c_0_69, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_4, c_0_67])).
% 4.39/1.15 cnf(c_0_70, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X3,implies(X3,X4)))), inference(spm,[status(thm)],[c_0_68, c_0_30])).
% 4.39/1.15 cnf(c_0_71, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,implies(X2,X3))))), inference(spm,[status(thm)],[c_0_6, c_0_33])).
% 4.39/1.15 cnf(c_0_72, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_69, c_0_56])).
% 4.39/1.15 cnf(c_0_73, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X5),implies(X4,X5)))))), inference(spm,[status(thm)],[c_0_70, c_0_71])).
% 4.39/1.15 cnf(c_0_74, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_69, c_0_72])).
% 4.39/1.15 cnf(c_0_75, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4))))), inference(spm,[status(thm)],[c_0_62, c_0_73])).
% 4.39/1.15 cnf(c_0_76, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X3),X3))), inference(spm,[status(thm)],[c_0_74, c_0_55])).
% 4.39/1.15 cnf(c_0_77, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_62, c_0_75])).
% 4.39/1.15 cnf(c_0_78, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X3),X2),X2),X1))), inference(spm,[status(thm)],[c_0_4, c_0_76])).
% 4.39/1.15 cnf(c_0_79, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_4, c_0_77])).
% 4.39/1.15 cnf(c_0_80, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,implies(X4,X2))),X5),implies(X6,implies(X1,X5))))), inference(spm,[status(thm)],[c_0_6, c_0_36])).
% 4.39/1.15 cnf(c_0_81, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))), inference(spm,[status(thm)],[c_0_78, c_0_72])).
% 4.39/1.15 cnf(c_0_82, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,implies(X1,X3)))))), inference(spm,[status(thm)],[c_0_79, c_0_5])).
% 4.39/1.15 cnf(c_0_83, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(implies(X2,X4),implies(X5,implies(X6,X4))),X3))), inference(spm,[status(thm)],[c_0_4, c_0_80])).
% 4.39/1.15 cnf(c_0_84, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_81, c_0_82])).
% 4.39/1.15 cnf(c_0_85, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X2,X4),X4)))))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
% 4.39/1.15 cnf(c_0_86, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3))))), inference(spm,[status(thm)],[c_0_62, c_0_85])).
% 4.39/1.15 cnf(c_0_87, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))), inference(spm,[status(thm)],[c_0_60, c_0_86])).
% 4.39/1.15 cnf(c_0_88, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_6, c_0_87])).
% 4.39/1.15 cnf(c_0_89, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_69, c_0_88])).
% 4.39/1.15 cnf(c_0_90, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_4, c_0_89])).
% 4.39/1.15 cnf(c_0_91, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_90, c_0_72])).
% 4.39/1.15 cnf(c_0_92, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), inference(fof_simplification,[status(thm)],[prove_ic_4])).
% 4.39/1.15 cnf(c_0_93, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,implies(X2,X3))))), inference(spm,[status(thm)],[c_0_62, c_0_56])).
% 4.39/1.15 cnf(c_0_94, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,implies(X3,X2)))))), inference(spm,[status(thm)],[c_0_91, c_0_82])).
% 4.39/1.15 cnf(c_0_95, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), c_0_92).
% 4.39/1.15 cnf(c_0_96, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_93, c_0_94])).
% 4.39/1.15 cnf(c_0_97, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95, c_0_96])]), ['proof']).
% 4.39/1.15 % SZS output end Proof
% 4.39/1.15 % User time : 0.617 s
% 4.39/1.15 % System time : 0.028 s
% 4.39/1.15 % Total time : 0.645 s
% 4.39/1.15 % User time : 0.618 s
% 4.39/1.15 % System time : 0.031 s
% 4.39/1.15 % Total time : 0.649 s
% 4.39/1.15
%------------------------------------------------------------------------------