%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL024-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n008.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 11:20:12 AM UTC 2026
% Result : Unsatisfiable 168.46s 25.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL024-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.36 % Computer : n008.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 03:26:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.22/0.48 start to proof:theBenchmark.p
% 168.46/25.11 % Version : CSI_E---1.1
% 168.46/25.11 % Problem : theBenchmark.p
% 168.46/25.11 % Proof found!
% 168.46/25.11 # SZS status Unsatisfiable
% 168.46/25.11 % SZS output start Proof
% 168.46/25.11 cnf(condensed_detachment, axiom, (ifeq(is_a_theorem(equivalent(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)).
% 168.46/25.11 cnf(xgk, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2))))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', xgk)).
% 168.46/25.11 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifeq_axiom)).
% 168.46/25.11 cnf(prove_pyo, negated_conjecture, (is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))!=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_pyo)).
% 168.46/25.11 cnf(c_0_4, axiom, (ifeq(is_a_theorem(equivalent(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), condensed_detachment).
% 168.46/25.11 cnf(c_0_5, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2))))=true), xgk).
% 168.46/25.11 cnf(c_0_6, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 168.46/25.11 cnf(c_0_7, plain, (ifeq(is_a_theorem(X1),true,is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_5]), c_0_6])).
% 168.46/25.11 cnf(c_0_8, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_5]), c_0_6])).
% 168.46/25.11 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X5,X4))))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_5]), c_0_6])).
% 168.46/25.11 cnf(c_0_10, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X2,X1)),equivalent(X3,X4)),X4))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_6])).
% 168.46/25.11 cnf(c_0_11, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X2,X1)),equivalent(X3,X4))),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_10]), c_0_6])).
% 168.46/25.11 cnf(c_0_12, plain, (is_a_theorem(equivalent(X1,X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_10]), c_0_6])).
% 168.46/25.11 cnf(c_0_13, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X3))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_12]), c_0_6])).
% 168.46/25.11 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X1,X2)),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_13]), c_0_6])).
% 168.46/25.11 cnf(c_0_15, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X3,X4)),X4))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_14]), c_0_6])).
% 168.46/25.11 cnf(c_0_16, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X2,X1)),X3)),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_15]), c_0_6])).
% 168.46/25.11 cnf(c_0_17, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X3)))),true,is_a_theorem(equivalent(X2,X1)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_13]), c_0_6])).
% 168.46/25.11 cnf(c_0_18, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X2,X1)),X3))),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_16]), c_0_6])).
% 168.46/25.11 cnf(c_0_19, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X1,equivalent(X3,X3))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_14]), c_0_6])).
% 168.46/25.11 cnf(c_0_20, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X1,X2)),X2),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_14]), c_0_6])).
% 168.46/25.11 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X2,equivalent(X3,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_6])).
% 168.46/25.11 cnf(c_0_22, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X5,X4)))))),true,is_a_theorem(equivalent(X2,X1)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_9]), c_0_6])).
% 168.46/25.11 cnf(c_0_23, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X3,X2)),equivalent(X1,equivalent(X4,X4))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_16]), c_0_6])).
% 168.46/25.11 cnf(c_0_24, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X1,equivalent(equivalent(X3,equivalent(X3,X4)),X4))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_15]), c_0_6])).
% 168.46/25.11 cnf(c_0_25, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_21]), c_0_6])).
% 168.46/25.11 cnf(c_0_26, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X3,equivalent(X3,X1))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_6])).
% 168.46/25.11 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X4,equivalent(X5,X5))),equivalent(X4,X3)))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_13]), c_0_6])).
% 168.46/25.11 cnf(c_0_28, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X3,X2)),X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_24]), c_0_6])).
% 168.46/25.11 cnf(c_0_29, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X4,equivalent(X4,X3))))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_25]), c_0_6])).
% 168.46/25.11 cnf(c_0_30, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X3,equivalent(X3,X1))))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_26]), c_0_6])).
% 168.46/25.11 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X3))),X4)),X4))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_27]), c_0_6])).
% 168.46/25.11 cnf(c_0_32, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X3,X4)),X4)))),true,is_a_theorem(equivalent(X2,X1)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_15]), c_0_6])).
% 168.46/25.11 cnf(c_0_33, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(equivalent(X3,equivalent(X4,X2)),equivalent(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_28]), c_0_6])).
% 168.46/25.11 cnf(c_0_34, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X2,X3)),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_29]), c_0_6])).
% 168.46/25.11 cnf(c_0_35, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X3))),equivalent(X4,equivalent(X4,equivalent(X2,X1)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_6])).
% 168.46/25.11 cnf(c_0_36, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X3))),X4))),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_31]), c_0_6])).
% 168.46/25.11 cnf(c_0_37, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X2,X1)),X3)),equivalent(X4,equivalent(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_6])).
% 168.46/25.11 cnf(c_0_38, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X3,X2)),equivalent(X4,equivalent(X1,equivalent(X5,X5))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_10]), c_0_6])).
% 168.46/25.11 cnf(c_0_39, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_19]), c_0_6])).
% 168.46/25.11 cnf(c_0_40, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X2,X3))),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_34]), c_0_6])).
% 168.46/25.11 cnf(c_0_41, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X2,X1)),equivalent(X4,X4)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_35]), c_0_6])).
% 168.46/25.11 cnf(c_0_42, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X1,X2)),X3),equivalent(X2,equivalent(X4,X4))),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_6])).
% 168.46/25.11 cnf(c_0_43, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X2,X1)),equivalent(X4,equivalent(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_38]), c_0_6])).
% 168.46/25.11 cnf(c_0_44, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(X2,X2))),true,is_a_theorem(X1),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_39]), c_0_6])).
% 168.46/25.11 cnf(c_0_45, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X3,equivalent(X2,X1))))),equivalent(X4,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_6])).
% 168.46/25.11 cnf(c_0_46, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X1,X2)),X3),equivalent(X2,equivalent(X4,X4)))),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_42]), c_0_6])).
% 168.46/25.11 cnf(c_0_47, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X4,X4))),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_43]), c_0_6])).
% 168.46/25.11 cnf(c_0_48, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X3,equivalent(X2,X1))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_6])).
% 168.46/25.11 cnf(c_0_49, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,equivalent(X2,equivalent(X3,X3)))),equivalent(X4,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_6])).
% 168.46/25.11 cnf(c_0_50, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X3,equivalent(X2,X1))))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_48]), c_0_6])).
% 168.46/25.11 cnf(c_0_51, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,equivalent(X2,equivalent(X3,X3)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_49]), c_0_6])).
% 168.46/25.11 cnf(c_0_52, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X4,X4)))),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_47]), c_0_6])).
% 168.46/25.11 cnf(c_0_53, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,equivalent(X3,equivalent(X2,X1)))),equivalent(X4,X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_6])).
% 168.46/25.11 cnf(c_0_54, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,X1),X2)),true,is_a_theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_12]), c_0_6])).
% 168.46/25.11 cnf(c_0_55, plain, (ifeq(is_a_theorem(equivalent(X1,X2)),true,is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X3)))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_51]), c_0_6])).
% 168.46/25.11 cnf(c_0_56, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X1,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_6])).
% 168.46/25.11 cnf(c_0_57, plain, (is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_13]), c_0_6])).
% 168.46/25.11 cnf(c_0_58, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X2)),equivalent(X3,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_6])).
% 168.46/25.11 cnf(c_0_59, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X3,equivalent(X4,X4))))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_57]), c_0_6])).
% 168.46/25.11 cnf(c_0_60, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X1)),X2))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_58]), c_0_6])).
% 168.46/25.11 cnf(c_0_61, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X1,equivalent(X3,equivalent(X3,equivalent(X4,X4))))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_59]), c_0_6])).
% 168.46/25.11 cnf(c_0_62, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X4,X3)),X4))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_60]), c_0_6])).
% 168.46/25.11 cnf(c_0_63, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X3)),equivalent(X2,X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_61]), c_0_6])).
% 168.46/25.11 cnf(c_0_64, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X2)),X3)),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_62]), c_0_6])).
% 168.46/25.11 cnf(c_0_65, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(equivalent(X3,equivalent(X4,X1)),equivalent(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_63]), c_0_6])).
% 168.46/25.11 cnf(c_0_66, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X2)),X3))),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_64]), c_0_6])).
% 168.46/25.11 cnf(c_0_67, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X3,equivalent(X3,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_26]), c_0_6])).
% 168.46/25.11 cnf(c_0_68, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(X2,X2))),true,is_a_theorem(equivalent(equivalent(X3,equivalent(X4,X1)),equivalent(X4,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_65]), c_0_6])).
% 168.46/25.11 cnf(c_0_69, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X2,X1)),equivalent(X3,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_41]), c_0_6])).
% 168.46/25.11 cnf(c_0_70, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X3,equivalent(X3,X2))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_67]), c_0_6])).
% 168.46/25.11 cnf(c_0_71, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(X4,X3)))),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_6])).
% 168.46/25.11 cnf(c_0_72, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(X3,equivalent(X2,X1)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_6])).
% 168.46/25.11 cnf(c_0_73, negated_conjecture, (is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))!=true), inference(fof_simplification,[status(thm)],[prove_pyo])).
% 168.46/25.11 cnf(c_0_74, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X3,equivalent(X2,X1)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_72]), c_0_6])).
% 168.46/25.11 cnf(c_0_75, negated_conjecture, (is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))!=true), c_0_73).
% 168.46/25.11 cnf(c_0_76, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X3),equivalent(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_74]), c_0_6])).
% 168.46/25.11 cnf(c_0_77, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])]), ['proof']).
% 168.46/25.11 % SZS output end Proof
% 168.46/25.11 % User time : 23.041 s
% 168.46/25.11 % System time : 0.816 s
% 168.46/25.11 % Total time : 23.857 s
% 168.46/25.11 % User time : 23.043 s
% 168.46/25.11 % System time : 0.818 s
% 168.46/25.11 % Total time : 23.862 s
% 168.46/25.11
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