%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL032-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n004.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 11:20:13 AM UTC 2026
% Result : Unsatisfiable 151.70s 23.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 23:21:44 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.22/0.46 start to proof:theBenchmark.p
% 151.70/23.11 % Version : CSI_E---1.1
% 151.70/23.11 % Problem : theBenchmark.p
% 151.70/23.11 % Proof found!
% 151.70/23.11 # SZS status Unsatisfiable
% 151.70/23.11 % SZS output start Proof
% 151.70/23.11 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 151.70/23.11 cnf(c0_CAMeredith, axiom, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', c0_CAMeredith)).
% 151.70/23.11 cnf(prove_c0_1, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_c0_1)).
% 151.70/23.11 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])).
% 151.70/23.11 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 151.70/23.11 cnf(c_0_5, axiom, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1))))), c0_CAMeredith).
% 151.70/23.11 cnf(c_0_6, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(implies(implies(implies(X2,X4),implies(X3,falsehood)),X5),X1))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 151.70/23.11 cnf(c_0_7, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 151.70/23.11 cnf(c_0_8, plain, (is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 151.70/23.11 cnf(c_0_9, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,implies(falsehood,X4)),X2))), inference(spm,[status(thm)],[c_0_4, c_0_8])).
% 151.70/23.11 cnf(c_0_10, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(falsehood,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 151.70/23.11 cnf(c_0_11, plain, (is_a_theorem(implies(X1,implies(X2,implies(falsehood,X3))))), inference(spm,[status(thm)],[c_0_9, c_0_7])).
% 151.70/23.11 cnf(c_0_12, plain, (is_a_theorem(implies(falsehood,X1))|~is_a_theorem(implies(implies(X2,X3),X1))), inference(spm,[status(thm)],[c_0_4, c_0_10])).
% 151.70/23.11 cnf(c_0_13, plain, (is_a_theorem(implies(X1,implies(falsehood,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_11])).
% 151.70/23.11 cnf(c_0_14, plain, (is_a_theorem(implies(falsehood,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_12, c_0_8])).
% 151.70/23.11 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(implies(X4,X2),implies(X5,X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 151.70/23.11 cnf(c_0_16, plain, (is_a_theorem(implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_10])).
% 151.70/23.11 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(falsehood,X2)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 151.70/23.11 cnf(c_0_18, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 151.70/23.11 cnf(c_0_19, plain, (is_a_theorem(implies(falsehood,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_17])).
% 151.70/23.11 cnf(c_0_20, plain, (is_a_theorem(implies(X1,implies(X2,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_18])).
% 151.70/23.11 cnf(c_0_21, plain, (is_a_theorem(implies(falsehood,X1))), inference(spm,[status(thm)],[c_0_19, c_0_14])).
% 151.70/23.11 cnf(c_0_22, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 151.70/23.11 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_18])).
% 151.70/23.11 cnf(c_0_24, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),X5)),X2),implies(X4,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_22])).
% 151.70/23.11 cnf(c_0_25, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,implies(X4,X3)),X2))), inference(spm,[status(thm)],[c_0_4, c_0_23])).
% 151.70/23.11 cnf(c_0_26, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X4),implies(X1,falsehood)),X3)))), inference(spm,[status(thm)],[c_0_6, c_0_24])).
% 151.70/23.11 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),implies(X5,implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 151.70/23.11 cnf(c_0_28, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_27])).
% 151.70/23.11 cnf(c_0_29, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))), inference(spm,[status(thm)],[c_0_28, c_0_21])).
% 151.70/23.11 cnf(c_0_30, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X3,X4),implies(X2,falsehood)))), inference(spm,[status(thm)],[c_0_4, c_0_29])).
% 151.70/23.11 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),implies(X4,X2))))), inference(spm,[status(thm)],[c_0_30, c_0_26])).
% 151.70/23.11 cnf(c_0_32, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_31])).
% 151.70/23.11 cnf(c_0_33, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_32, c_0_21])).
% 151.70/23.11 cnf(c_0_34, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_33])).
% 151.70/23.11 cnf(c_0_35, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_34])).
% 151.70/23.11 cnf(c_0_36, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_4, c_0_35])).
% 151.70/23.11 cnf(c_0_37, plain, (is_a_theorem(implies(implies(X1,falsehood),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_36, c_0_33])).
% 151.70/23.11 cnf(c_0_38, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_30, c_0_37])).
% 151.70/23.11 cnf(c_0_39, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_38])).
% 151.70/23.11 cnf(c_0_40, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X3),X2))), inference(spm,[status(thm)],[c_0_4, c_0_39])).
% 151.70/23.11 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(implies(X1,falsehood),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_35])).
% 151.70/23.11 cnf(c_0_42, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,falsehood),X3))))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 151.70/23.11 cnf(c_0_43, plain, (is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_42])).
% 151.70/23.11 cnf(c_0_44, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,falsehood),X3),X2))), inference(spm,[status(thm)],[c_0_4, c_0_41])).
% 151.70/23.11 cnf(c_0_45, plain, (is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))), inference(spm,[status(thm)],[c_0_43, c_0_21])).
% 151.70/23.11 cnf(c_0_46, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X2,X3),implies(X1,falsehood)))), inference(spm,[status(thm)],[c_0_4, c_0_33])).
% 151.70/23.11 cnf(c_0_47, plain, (is_a_theorem(implies(X1,implies(implies(implies(implies(X1,falsehood),X2),falsehood),X3)))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 151.70/23.11 cnf(c_0_48, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),falsehood),X3),falsehood),X1))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 151.70/23.11 cnf(c_0_49, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))), inference(spm,[status(thm)],[c_0_6, c_0_48])).
% 151.70/23.11 cnf(c_0_50, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_4, c_0_49])).
% 151.70/23.11 cnf(c_0_51, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_15, c_0_22])).
% 151.70/23.11 cnf(c_0_52, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_50, c_0_39])).
% 151.70/23.11 cnf(c_0_53, plain, (is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_51])).
% 151.70/23.11 cnf(c_0_54, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_52])).
% 151.70/23.11 cnf(c_0_55, plain, (is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1))))), inference(spm,[status(thm)],[c_0_53, c_0_21])).
% 151.70/23.11 cnf(c_0_56, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_54, c_0_21])).
% 151.70/23.11 cnf(c_0_57, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(falsehood,X3),X2))), inference(spm,[status(thm)],[c_0_4, c_0_16])).
% 151.70/23.11 cnf(c_0_58, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_55])).
% 151.70/23.11 cnf(c_0_59, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X1),falsehood),X3)))), inference(spm,[status(thm)],[c_0_36, c_0_45])).
% 151.70/23.11 cnf(c_0_60, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_6, c_0_41])).
% 151.70/23.11 cnf(c_0_61, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_22])).
% 151.70/23.11 cnf(c_0_62, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(spm,[status(thm)],[c_0_4, c_0_56])).
% 151.70/23.11 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(implies(implies(falsehood,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_50, c_0_16])).
% 151.70/23.11 cnf(c_0_64, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_57, c_0_58])).
% 151.70/23.11 cnf(c_0_65, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,falsehood),X3)),falsehood),X4)))), inference(spm,[status(thm)],[c_0_44, c_0_59])).
% 151.70/23.11 cnf(c_0_66, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))), inference(spm,[status(thm)],[c_0_50, c_0_60])).
% 151.70/23.11 cnf(c_0_67, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_61])).
% 151.70/23.11 cnf(c_0_68, plain, (is_a_theorem(implies(implies(implies(falsehood,X1),X2),X2))), inference(spm,[status(thm)],[c_0_62, c_0_63])).
% 151.70/23.11 cnf(c_0_69, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,X3)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_64])).
% 151.70/23.11 cnf(c_0_70, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),falsehood),X4)),falsehood),X2))), inference(spm,[status(thm)],[c_0_46, c_0_65])).
% 151.70/23.11 cnf(c_0_71, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_66])).
% 151.70/23.11 cnf(c_0_72, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_67])).
% 151.70/23.11 cnf(c_0_73, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(falsehood,X2),X1))), inference(spm,[status(thm)],[c_0_4, c_0_68])).
% 151.70/23.11 cnf(c_0_74, plain, (is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3))))), inference(spm,[status(thm)],[c_0_50, c_0_49])).
% 151.70/23.11 cnf(c_0_75, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X4),X2))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_69])).
% 151.70/23.11 cnf(c_0_76, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),falsehood),X2)))), inference(spm,[status(thm)],[c_0_6, c_0_70])).
% 151.70/23.11 cnf(c_0_77, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(implies(X3,X4),X3),X3),X2))), inference(spm,[status(thm)],[c_0_4, c_0_71])).
% 151.70/23.11 cnf(c_0_78, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X2),X3))), inference(spm,[status(thm)],[c_0_72, c_0_35])).
% 151.70/23.11 cnf(c_0_79, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_36, c_0_5])).
% 151.70/23.11 cnf(c_0_80, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
% 151.70/23.11 cnf(c_0_81, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_75, c_0_5])).
% 151.70/23.11 cnf(c_0_82, plain, (is_a_theorem(implies(implies(implies(X1,X2),falsehood),X3))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_4, c_0_76])).
% 151.70/23.11 cnf(c_0_83, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2))))), inference(spm,[status(thm)],[c_0_77, c_0_5])).
% 151.70/23.11 cnf(c_0_84, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X2),X4),implies(X5,X4)))))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
% 151.70/23.11 cnf(c_0_85, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_78, c_0_5])).
% 151.70/23.11 cnf(c_0_86, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_4, c_0_80])).
% 151.70/23.11 cnf(c_0_87, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_81])).
% 151.70/23.11 cnf(c_0_88, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(implies(X2,X4),X1))), inference(spm,[status(thm)],[c_0_6, c_0_82])).
% 151.70/23.11 cnf(c_0_89, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),implies(X5,X4)))), inference(spm,[status(thm)],[c_0_6, c_0_83])).
% 151.70/23.11 cnf(c_0_90, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X1),X3),implies(X4,X3))),X5),implies(X6,X5)))), inference(spm,[status(thm)],[c_0_6, c_0_84])).
% 151.70/23.11 cnf(c_0_91, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),implies(X5,X4)))), inference(spm,[status(thm)],[c_0_6, c_0_85])).
% 151.70/23.11 cnf(c_0_92, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X4))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_86, c_0_87])).
% 151.70/23.11 cnf(c_0_93, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1)))), inference(spm,[status(thm)],[c_0_88, c_0_79])).
% 151.70/23.11 cnf(c_0_94, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),X4))), inference(spm,[status(thm)],[c_0_86, c_0_89])).
% 151.70/23.11 cnf(c_0_95, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X2,X3))))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_88, c_0_82])).
% 151.70/23.11 cnf(c_0_96, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X1),X3),implies(X4,X3))),X5),X5))), inference(spm,[status(thm)],[c_0_86, c_0_90])).
% 151.70/23.11 cnf(c_0_97, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1))))), inference(spm,[status(thm)],[c_0_88, c_0_35])).
% 151.70/23.11 cnf(c_0_98, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),X4))), inference(spm,[status(thm)],[c_0_86, c_0_91])).
% 151.70/23.11 cnf(c_0_99, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X3)),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_92])).
% 151.70/23.11 cnf(c_0_100, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1))), inference(spm,[status(thm)],[c_0_86, c_0_93])).
% 151.70/23.11 cnf(c_0_101, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X3),X2),implies(X4,X2)),X1))), inference(spm,[status(thm)],[c_0_4, c_0_94])).
% 151.70/23.11 cnf(c_0_102, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,X3)))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_86, c_0_95])).
% 151.70/23.11 cnf(c_0_103, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(implies(X3,X2),X4),implies(X5,X4))),X1))), inference(spm,[status(thm)],[c_0_4, c_0_96])).
% 151.70/23.11 cnf(c_0_104, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_86, c_0_97])).
% 151.70/23.11 cnf(c_0_105, 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_4, c_0_98])).
% 151.70/23.11 cnf(c_0_106, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3))), inference(spm,[status(thm)],[c_0_99, c_0_100])).
% 151.70/23.11 cnf(c_0_107, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))), inference(spm,[status(thm)],[c_0_101, c_0_102])).
% 151.70/23.11 cnf(c_0_108, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X2,X3),X4)),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_103, c_0_104])).
% 151.70/23.11 cnf(c_0_109, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,implies(X1,X2)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_4, c_0_102])).
% 151.70/23.11 cnf(c_0_110, plain, (is_a_theorem(implies(implies(implies(X1,X2),falsehood),implies(implies(X1,X3),implies(X4,X3))))), inference(spm,[status(thm)],[c_0_105, c_0_76])).
% 151.70/23.11 cnf(c_0_111, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_106, c_0_82])).
% 151.70/23.11 cnf(c_0_112, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2))), inference(spm,[status(thm)],[c_0_107, c_0_108])).
% 151.70/23.11 cnf(c_0_113, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(X2,implies(X2,X3))))), inference(spm,[status(thm)],[c_0_109, c_0_49])).
% 151.70/23.11 cnf(c_0_114, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X2,X3),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_4, c_0_104])).
% 151.70/23.11 cnf(c_0_115, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_106, c_0_110])).
% 151.70/23.11 cnf(c_0_116, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_109, c_0_111])).
% 151.70/23.11 cnf(c_0_117, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2)))), inference(spm,[status(thm)],[c_0_6, c_0_112])).
% 151.70/23.11 cnf(c_0_118, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_113, c_0_79])).
% 151.70/23.11 cnf(c_0_119, 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_114, c_0_82])).
% 151.70/23.11 cnf(c_0_120, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_109, c_0_115])).
% 151.70/23.11 cnf(c_0_121, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(implies(implies(X1,X4),X1),X2),X3))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
% 151.70/23.11 cnf(c_0_122, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_116, c_0_118])).
% 151.70/23.11 cnf(c_0_123, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_119, c_0_120])).
% 151.70/23.11 cnf(c_0_124, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))))), inference(spm,[status(thm)],[c_0_121, c_0_5])).
% 151.70/23.11 cnf(c_0_125, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_122, c_0_123])).
% 151.70/23.11 cnf(c_0_126, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),X1)))), inference(spm,[status(thm)],[c_0_113, c_0_124])).
% 151.70/23.11 cnf(c_0_127, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_125, c_0_79])).
% 151.70/23.11 cnf(c_0_128, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_121, c_0_126])).
% 151.70/23.11 cnf(c_0_129, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(X1,implies(X4,X2)),X3))), inference(spm,[status(thm)],[c_0_116, c_0_127])).
% 151.70/23.11 cnf(c_0_130, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X2,X1),implies(X2,X3))))), inference(spm,[status(thm)],[c_0_125, c_0_128])).
% 151.70/23.11 cnf(c_0_131, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), inference(fof_simplification,[status(thm)],[prove_c0_1])).
% 151.70/23.11 cnf(c_0_132, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_129, c_0_130])).
% 151.70/23.11 cnf(c_0_133, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), c_0_131).
% 151.70/23.11 cnf(c_0_134, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_125, c_0_132])).
% 151.70/23.11 cnf(c_0_135, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133, c_0_134])]), ['proof']).
% 151.70/23.11 % SZS output end Proof
% 151.70/23.11 % User time : 21.797 s
% 151.70/23.11 % System time : 0.590 s
% 151.70/23.11 % Total time : 22.387 s
% 151.70/23.11 % User time : 108.286 s
% 151.70/23.11 % System time : 2.426 s
% 151.70/23.11 % Total time : 110.712 s
% 151.70/23.11
%------------------------------------------------------------------------------