%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n018.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 11:20:54 AM UTC 2026
% Result : Unsatisfiable 81.67s 12.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 06:19:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.25/0.47 start to proof:theBenchmark.p
% 81.67/12.43 % Version : CSI_E---1.1
% 81.67/12.43 % Problem : theBenchmark.p
% 81.67/12.43 % Proof found!
% 81.67/12.43 # SZS status Unsatisfiable
% 81.67/12.43 % SZS output start Proof
% 81.67/12.43 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/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 81.67/12.43 cnf(cn_3, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_3)).
% 81.67/12.43 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifeq_axiom)).
% 81.67/12.43 cnf(cn_2, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_2)).
% 81.67/12.43 cnf(cn_1, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_1)).
% 81.67/12.43 cnf(prove_cn_66, negated_conjecture, (is_a_theorem(implies(not(implies(x,y)),x))!=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_66)).
% 81.67/12.43 cnf(c_0_6, axiom, (ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), condensed_detachment).
% 81.67/12.43 cnf(c_0_7, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))=true), cn_3).
% 81.67/12.43 cnf(c_0_8, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 81.67/12.43 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))=true), cn_2).
% 81.67/12.43 cnf(c_0_10, plain, (ifeq(is_a_theorem(implies(implies(X1,implies(not(X1),X2)),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])).
% 81.67/12.43 cnf(c_0_11, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))=true), cn_1).
% 81.67/12.43 cnf(c_0_12, plain, (ifeq(is_a_theorem(implies(implies(implies(not(X1),X1),X1),X2)),true,is_a_theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_9]), c_0_8])).
% 81.67/12.43 cnf(c_0_13, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_8])).
% 81.67/12.43 cnf(c_0_14, plain, (is_a_theorem(implies(X1,X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_8])).
% 81.67/12.43 cnf(c_0_15, plain, (ifeq(is_a_theorem(implies(implies(not(X1),X2),X3)),true,is_a_theorem(implies(X1,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_13]), c_0_8])).
% 81.67/12.43 cnf(c_0_16, 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_6, c_0_14]), c_0_8])).
% 81.67/12.43 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(not(X1),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_11]), c_0_8])).
% 81.67/12.43 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(implies(X3,X3)),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_8])).
% 81.67/12.43 cnf(c_0_19, plain, (ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(X2,X3),implies(X1,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_11]), c_0_8])).
% 81.67/12.43 cnf(c_0_20, plain, (is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_18]), c_0_8])).
% 81.67/12.43 cnf(c_0_21, plain, (is_a_theorem(implies(implies(implies(not(implies(X1,X1)),X2),X3),implies(X4,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_8])).
% 81.67/12.43 cnf(c_0_22, plain, (is_a_theorem(implies(X1,implies(X2,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_21]), c_0_8])).
% 81.67/12.43 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_22]), c_0_8])).
% 81.67/12.43 cnf(c_0_24, plain, (ifeq(is_a_theorem(implies(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_13]), c_0_8])).
% 81.67/12.43 cnf(c_0_25, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(not(X3),X2)),X4),implies(X3,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_17]), c_0_8])).
% 81.67/12.43 cnf(c_0_26, plain, (ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(implies(X3,X2)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_23]), c_0_8])).
% 81.67/12.43 cnf(c_0_27, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_11]), c_0_8])).
% 81.67/12.43 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_8])).
% 81.67/12.43 cnf(c_0_29, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_8])).
% 81.67/12.43 cnf(c_0_30, plain, (ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_11]), c_0_8])).
% 81.67/12.43 cnf(c_0_31, plain, (is_a_theorem(implies(implies(implies(X1,implies(not(X2),X3)),X4),implies(X2,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_28]), c_0_8])).
% 81.67/12.43 cnf(c_0_32, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),implies(X3,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_29]), c_0_8])).
% 81.67/12.43 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(implies(implies(not(X1),X2),X3),implies(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_8])).
% 81.67/12.43 cnf(c_0_34, plain, (ifeq(is_a_theorem(implies(implies(implies(implies(implies(not(X1),X1),X1),X2),implies(X3,X2)),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_32]), c_0_8])).
% 81.67/12.43 cnf(c_0_35, plain, (is_a_theorem(implies(implies(implies(implies(implies(not(X1),X2),X3),implies(X4,X3)),X5),implies(X1,X5)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_33]), c_0_8])).
% 81.67/12.43 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_8])).
% 81.67/12.43 cnf(c_0_37, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X3,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_36]), c_0_8])).
% 81.67/12.43 cnf(c_0_38, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_11]), c_0_8])).
% 81.67/12.43 cnf(c_0_39, plain, (is_a_theorem(implies(X1,implies(X2,X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_37]), c_0_8])).
% 81.67/12.43 cnf(c_0_40, plain, (is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_27]), c_0_8])).
% 81.67/12.43 cnf(c_0_41, plain, (is_a_theorem(implies(implies(X1,not(X2)),implies(X2,implies(X1,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_38]), c_0_8])).
% 81.67/12.43 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_39]), c_0_8])).
% 81.67/12.43 cnf(c_0_43, plain, (ifeq(is_a_theorem(implies(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1),X2)),true,is_a_theorem(X2),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_40]), c_0_8])).
% 81.67/12.43 cnf(c_0_44, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X2,not(X1)),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_41]), c_0_8])).
% 81.67/12.43 cnf(c_0_45, 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_6, c_0_42]), c_0_8])).
% 81.67/12.43 cnf(c_0_46, plain, (is_a_theorem(implies(implies(not(X1),not(not(implies(not(X1),X1)))),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_8])).
% 81.67/12.43 cnf(c_0_47, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X3,implies(X1,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_38]), c_0_8])).
% 81.67/12.43 cnf(c_0_48, plain, (ifeq(is_a_theorem(implies(X1,not(X2))),true,is_a_theorem(implies(X2,implies(X1,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_41]), c_0_8])).
% 81.67/12.43 cnf(c_0_49, plain, (is_a_theorem(implies(not(not(implies(not(X1),X1))),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_8])).
% 81.67/12.43 cnf(c_0_50, plain, (ifeq(is_a_theorem(implies(X1,implies(not(X2),X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_47]), c_0_8])).
% 81.67/12.43 cnf(c_0_51, plain, (is_a_theorem(implies(X1,implies(not(not(implies(not(not(X1)),not(X1)))),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_8])).
% 81.67/12.43 cnf(c_0_52, plain, (is_a_theorem(implies(implies(X1,not(implies(not(X2),X3))),implies(X2,implies(X1,X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_44]), c_0_8])).
% 81.67/12.43 cnf(c_0_53, plain, (ifeq(is_a_theorem(implies(not(X1),X1)),true,is_a_theorem(X1),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_9]), c_0_8])).
% 81.67/12.43 cnf(c_0_54, plain, (is_a_theorem(implies(X1,implies(X2,not(implies(not(not(X2)),not(X2))))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_8])).
% 81.67/12.43 cnf(c_0_55, plain, (ifeq(is_a_theorem(implies(X1,not(implies(not(X2),X3)))),true,is_a_theorem(implies(X2,implies(X1,X4))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_52]), c_0_8])).
% 81.67/12.43 cnf(c_0_56, plain, (is_a_theorem(implies(X1,not(implies(not(not(X1)),not(X1)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_8])).
% 81.67/12.43 cnf(c_0_57, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_8])).
% 81.67/12.43 cnf(c_0_58, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_57]), c_0_8])).
% 81.67/12.43 cnf(c_0_59, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_58]), c_0_8])).
% 81.67/12.43 cnf(c_0_60, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_59]), c_0_8])).
% 81.67/12.43 cnf(c_0_61, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_42]), c_0_8])).
% 81.67/12.43 cnf(c_0_62, negated_conjecture, (is_a_theorem(implies(not(implies(x,y)),x))!=true), inference(fof_simplification,[status(thm)],[prove_cn_66])).
% 81.67/12.43 cnf(c_0_63, plain, (ifeq(is_a_theorem(implies(implies(X1,X2),X1)),true,is_a_theorem(X1),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_60]), c_0_8])).
% 81.67/12.43 cnf(c_0_64, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(implies(X2,X3)),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_61]), c_0_8])).
% 81.67/12.43 cnf(c_0_65, negated_conjecture, (is_a_theorem(implies(not(implies(x,y)),x))!=true), c_0_62).
% 81.67/12.43 cnf(c_0_66, plain, (is_a_theorem(implies(not(implies(X1,X2)),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_8])).
% 81.67/12.43 cnf(c_0_67, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])]), ['proof']).
% 81.67/12.43 % SZS output end Proof
% 81.67/12.43 % User time : 11.314 s
% 81.67/12.43 % System time : 0.298 s
% 81.67/12.43 % Total time : 11.612 s
% 81.67/12.43 % User time : 56.768 s
% 81.67/12.43 % System time : 1.453 s
% 81.67/12.43 % Total time : 58.222 s
% 81.67/12.43
%------------------------------------------------------------------------------