%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL084-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 11:20:18 AM UTC 2026
% Result : Unsatisfiable 183.86s 28.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL084-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n031.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
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 20:33:40 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 183.86/28.46 % Version : CSI_E---1.1
% 183.86/28.46 % Problem : theBenchmark.p
% 183.86/28.46 % Proof found!
% 183.86/28.46 # SZS status Unsatisfiable
% 183.86/28.46 % SZS output start Proof
% 183.86/28.46 cnf(condensed_detachment, axiom, (ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 183.86/28.46 cnf(ic_1, axiom, (is_a_theorem(implies(X1,X1))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_1)).
% 183.86/28.46 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifeq_axiom)).
% 183.86/28.46 cnf(ic_JLukasiewicz, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_JLukasiewicz)).
% 183.86/28.46 cnf(prove_ic_4, negated_conjecture, (is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))!=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_ic_4)).
% 183.86/28.46 cnf(c_0_5, axiom, (ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), condensed_detachment).
% 183.86/28.46 cnf(c_0_6, axiom, (is_a_theorem(implies(X1,X1))=true), ic_1).
% 183.86/28.46 cnf(c_0_7, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 183.86/28.46 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))))=true), ic_JLukasiewicz).
% 183.86/28.46 cnf(c_0_9, plain, (ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_7])).
% 183.86/28.46 cnf(c_0_10, plain, (ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_8]), c_0_7])).
% 183.86/28.46 cnf(c_0_11, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_8]), c_0_7])).
% 183.86/28.46 cnf(c_0_12, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_7])).
% 183.86/28.46 cnf(c_0_13, plain, (ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))),X5)),true,is_a_theorem(X5),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_8]), c_0_7])).
% 183.86/28.46 cnf(c_0_14, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_12]), c_0_7])).
% 183.86/28.46 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_7])).
% 183.86/28.46 cnf(c_0_16, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_15]), c_0_7])).
% 183.86/28.46 cnf(c_0_17, plain, (ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_11]), c_0_7])).
% 183.86/28.46 cnf(c_0_18, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_16]), c_0_7])).
% 183.86/28.46 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_7])).
% 183.86/28.46 cnf(c_0_20, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_19]), c_0_7])).
% 183.86/28.46 cnf(c_0_21, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_20]), c_0_7])).
% 183.86/28.46 cnf(c_0_22, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_14]), c_0_7])).
% 183.86/28.46 cnf(c_0_23, plain, (ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_21]), c_0_7])).
% 183.86/28.46 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_22]), c_0_7])).
% 183.86/28.46 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_21]), c_0_7])).
% 183.86/28.46 cnf(c_0_26, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_24]), c_0_7])).
% 183.86/28.46 cnf(c_0_27, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_25]), c_0_7])).
% 183.86/28.46 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_26]), c_0_7])).
% 183.86/28.46 cnf(c_0_29, plain, (ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_27]), c_0_7])).
% 183.86/28.46 cnf(c_0_30, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_28]), c_0_7])).
% 183.86/28.46 cnf(c_0_31, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_7])).
% 183.86/28.46 cnf(c_0_32, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(X5,implies(implies(implies(X1,X2),X3),implies(X4,X3)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_31]), c_0_7])).
% 183.86/28.46 cnf(c_0_33, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_16]), c_0_7])).
% 183.86/28.46 cnf(c_0_34, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(implies(implies(X1,X2),X3),implies(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_32]), c_0_7])).
% 183.86/28.46 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_11]), c_0_7])).
% 183.86/28.46 cnf(c_0_36, plain, (is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_34]), c_0_7])).
% 183.86/28.46 cnf(c_0_37, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_35]), c_0_7])).
% 183.86/28.46 cnf(c_0_38, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)),implies(X5,implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_36]), c_0_7])).
% 183.86/28.46 cnf(c_0_39, plain, (ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)),X5)),true,is_a_theorem(X5),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_37]), c_0_7])).
% 183.86/28.46 cnf(c_0_40, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_38]), c_0_7])).
% 183.86/28.46 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X3)),X2),X4),implies(implies(X1,implies(X2,X3)),X2)),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_7])).
% 183.86/28.46 cnf(c_0_42, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X2,implies(X1,X3)),X1),X4)),implies(X5,implies(implies(implies(X2,implies(X1,X3)),X1),X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_41]), c_0_7])).
% 183.86/28.46 cnf(c_0_43, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X2,implies(X1,X3)),X1),X4)),implies(implies(implies(X2,implies(X1,X3)),X1),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_42]), c_0_7])).
% 183.86/28.46 cnf(c_0_44, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),implies(implies(X2,X3),X2)),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_43]), c_0_7])).
% 183.86/28.46 cnf(c_0_45, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X1,X3),X1),X4))),implies(X5,implies(X2,implies(implies(implies(X1,X3),X1),X4)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_44]), c_0_7])).
% 183.86/28.46 cnf(c_0_46, plain, (ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_28]), c_0_7])).
% 183.86/28.46 cnf(c_0_47, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X1,X3),X1),X4))),implies(X2,implies(implies(implies(X1,X3),X1),X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_45]), c_0_7])).
% 183.86/28.46 cnf(c_0_48, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_7])).
% 183.86/28.46 cnf(c_0_49, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_48]), c_0_7])).
% 183.86/28.46 cnf(c_0_50, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_21]), c_0_7])).
% 183.86/28.46 cnf(c_0_51, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_49]), c_0_7])).
% 183.86/28.46 cnf(c_0_52, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_12]), c_0_7])).
% 183.86/28.46 cnf(c_0_53, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_7])).
% 183.86/28.46 cnf(c_0_54, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_52]), c_0_7])).
% 183.86/28.46 cnf(c_0_55, plain, (ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_48]), c_0_7])).
% 183.86/28.46 cnf(c_0_56, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_53]), c_0_7])).
% 183.86/28.46 cnf(c_0_57, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X5,implies(X3,X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_54]), c_0_7])).
% 183.86/28.46 cnf(c_0_58, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_7])).
% 183.86/28.46 cnf(c_0_59, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X3,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_57]), c_0_7])).
% 183.86/28.46 cnf(c_0_60, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_58]), c_0_7])).
% 183.86/28.46 cnf(c_0_61, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X4,X1))),implies(X5,implies(X3,implies(X4,X1)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_59]), c_0_7])).
% 183.86/28.46 cnf(c_0_62, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_60]), c_0_7])).
% 183.86/28.46 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_61]), c_0_7])).
% 183.86/28.46 cnf(c_0_64, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_37]), c_0_7])).
% 183.86/28.46 cnf(c_0_65, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),X3),X1),implies(X4,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_56]), c_0_7])).
% 183.86/28.46 cnf(c_0_66, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_62]), c_0_7])).
% 183.86/28.46 cnf(c_0_67, plain, (ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X4,X1)))),X5)),true,is_a_theorem(X5),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_63]), c_0_7])).
% 183.86/28.46 cnf(c_0_68, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_64]), c_0_7])).
% 183.86/28.46 cnf(c_0_69, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),X3),X1),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_65]), c_0_7])).
% 183.86/28.46 cnf(c_0_70, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_66]), c_0_7])).
% 183.86/28.46 cnf(c_0_71, plain, (ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_26]), c_0_7])).
% 183.86/28.46 cnf(c_0_72, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_62]), c_0_7])).
% 183.86/28.46 cnf(c_0_73, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_54]), c_0_7])).
% 183.86/28.46 cnf(c_0_74, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_68]), c_0_7])).
% 183.86/28.46 cnf(c_0_75, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),X3)),implies(X4,implies(implies(implies(X1,X2),X3),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_69]), c_0_7])).
% 183.86/28.46 cnf(c_0_76, plain, (ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_70]), c_0_7])).
% 183.86/28.46 cnf(c_0_77, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(implies(X4,X1),X5),X5)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_7])).
% 183.86/28.46 cnf(c_0_78, plain, (ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_73]), c_0_7])).
% 183.86/28.46 cnf(c_0_79, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_74]), c_0_7])).
% 183.86/28.46 cnf(c_0_80, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),X3)),implies(implies(implies(X1,X2),X3),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_75]), c_0_7])).
% 183.86/28.46 cnf(c_0_81, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,implies(X1,X4)),X5),X5))),implies(X2,implies(implies(implies(X3,implies(X1,X4)),X5),X5))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_7])).
% 183.86/28.46 cnf(c_0_82, plain, (is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_7])).
% 183.86/28.46 cnf(c_0_83, plain, (ifeq(is_a_theorem(implies(X1,implies(implies(implies(X1,X2),X3),X3))),true,is_a_theorem(implies(implies(implies(X1,X2),X3),X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_80]), c_0_7])).
% 183.86/28.46 cnf(c_0_84, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,implies(X1,X4)),X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_81]), c_0_7])).
% 183.86/28.46 cnf(c_0_85, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_82]), c_0_7])).
% 183.86/28.46 cnf(c_0_86, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X1,X3)),X2),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_7])).
% 183.86/28.46 cnf(c_0_87, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_73]), c_0_7])).
% 183.86/28.46 cnf(c_0_88, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_62]), c_0_7])).
% 183.86/28.46 cnf(c_0_89, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_49]), c_0_7])).
% 183.86/28.46 cnf(c_0_90, plain, (is_a_theorem(implies(implies(X1,implies(implies(X2,X1),implies(X2,X3))),implies(X4,implies(implies(X2,X1),implies(X2,X3)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_86]), c_0_7])).
% 183.86/28.46 cnf(c_0_91, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_87]), c_0_7])).
% 183.86/28.46 cnf(c_0_92, plain, (ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_74]), c_0_7])).
% 183.86/28.46 cnf(c_0_93, plain, (is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_7])).
% 183.86/28.46 cnf(c_0_94, plain, (is_a_theorem(implies(implies(X1,implies(implies(X2,X1),implies(X2,X3))),implies(implies(X2,X1),implies(X2,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_90]), c_0_7])).
% 183.86/28.46 cnf(c_0_95, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_51]), c_0_7])).
% 183.86/28.46 cnf(c_0_96, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_91]), c_0_7])).
% 183.86/28.46 cnf(c_0_97, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_7])).
% 183.86/28.46 cnf(c_0_98, plain, (ifeq(is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X2,X3)))),true,is_a_theorem(implies(implies(X2,X1),implies(X2,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_94]), c_0_7])).
% 183.86/28.46 cnf(c_0_99, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),implies(X5,X4))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_95]), c_0_7])).
% 183.86/28.46 cnf(c_0_100, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_96]), c_0_7])).
% 183.86/28.46 cnf(c_0_101, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_97]), c_0_7])).
% 183.86/28.46 cnf(c_0_102, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(implies(X2,X3),implies(X4,X3)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_7])).
% 183.86/28.46 cnf(c_0_103, negated_conjecture, (is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))!=true), inference(fof_simplification,[status(thm)],[prove_ic_4])).
% 183.86/28.46 cnf(c_0_104, plain, (ifeq(is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X1,X4))))),true,is_a_theorem(implies(X2,implies(X3,implies(X1,X4)))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_100]), c_0_7])).
% 183.86/28.46 cnf(c_0_105, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_7])).
% 183.86/28.46 cnf(c_0_106, negated_conjecture, (is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))!=true), c_0_103).
% 183.86/28.46 cnf(c_0_107, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_7])).
% 183.86/28.46 cnf(c_0_108, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107])]), ['proof']).
% 183.86/28.46 % SZS output end Proof
% 183.86/28.46 % User time : 25.149 s
% 183.86/28.46 % System time : 0.431 s
% 183.86/28.46 % Total time : 25.580 s
% 183.86/28.46 % User time : 128.676 s
% 183.86/28.46 % System time : 2.181 s
% 183.86/28.46 % Total time : 130.857 s
% 183.86/28.46
%------------------------------------------------------------------------------