%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL416-10 : TPTP v9.3.1. Released v7.3.0.
% 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 11:20:56 AM UTC 2026
% Result : Unsatisfiable 40.30s 6.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL416-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n009.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 : Fri Sep 4 14:23:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 40.30/6.55 % Version : CSI_E---1.1
% 40.30/6.55 % Problem : theBenchmark.p
% 40.30/6.55 % Proof found!
% 40.30/6.55 # SZS status Unsatisfiable
% 40.30/6.55 % SZS output start Proof
% 40.30/6.55 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/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 40.30/6.55 cnf(xcb, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', xcb)).
% 40.30/6.55 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifeq_axiom)).
% 40.30/6.55 cnf(prove_reflexivity, negated_conjecture, (is_a_theorem(equivalent(a,a))!=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_reflexivity)).
% 40.30/6.55 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).
% 40.30/6.55 cnf(c_0_5, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)))=true), xcb).
% 40.30/6.55 cnf(c_0_6, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 40.30/6.55 cnf(c_0_7, plain, (ifeq(is_a_theorem(X1),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_5]), c_0_6])).
% 40.30/6.55 cnf(c_0_8, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(X5,X4)),X5))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_5]), c_0_6])).
% 40.30/6.55 cnf(c_0_9, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),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])).
% 40.30/6.55 cnf(c_0_10, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(X5,X4)),X5),X6),equivalent(X7,X6)),X7))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_6])).
% 40.30/6.55 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),X5),equivalent(X4,X5)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_8]), c_0_6])).
% 40.30/6.55 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(X5,X4)),X5),X6),X7),equivalent(X6,X7)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_6])).
% 40.30/6.55 cnf(c_0_13, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(equivalent(equivalent(X2,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X4)),X1),X5),equivalent(X6,X5)),X6)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_11]), c_0_6])).
% 40.30/6.55 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),X5),equivalent(X4,X5)),X6),equivalent(X7,X6)),X7))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_11]), c_0_6])).
% 40.30/6.55 cnf(c_0_15, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(X5,X4)),X5),X6),X7)),true,is_a_theorem(equivalent(X6,X7)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_12]), c_0_6])).
% 40.30/6.55 cnf(c_0_16, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),equivalent(X4,equivalent(equivalent(equivalent(X4,X5),equivalent(X6,X5)),X6))),X7),equivalent(X8,X7)),X8))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_13]), c_0_6])).
% 40.30/6.55 cnf(c_0_17, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),X5),equivalent(X4,X5)),X6),equivalent(X7,X6))),true,is_a_theorem(X7),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_14]), c_0_6])).
% 40.30/6.55 cnf(c_0_18, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X4))),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_6])).
% 40.30/6.55 cnf(c_0_19, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(X5,X4))),true,is_a_theorem(X5),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_8]), c_0_6])).
% 40.30/6.55 cnf(c_0_20, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X3)),X4),equivalent(equivalent(equivalent(X4,X5),equivalent(X6,X5)),X6)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_6])).
% 40.30/6.55 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_6])).
% 40.30/6.55 cnf(c_0_22, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_21]), c_0_6])).
% 40.30/6.55 cnf(c_0_23, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X4),equivalent(X3,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_22]), c_0_6])).
% 40.30/6.55 cnf(c_0_24, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3))),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_22]), c_0_6])).
% 40.30/6.55 cnf(c_0_25, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X3)),X1),X4),equivalent(X5,X4)),X5)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_23]), c_0_6])).
% 40.30/6.55 cnf(c_0_26, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X4)))),true,is_a_theorem(X1),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_18]), c_0_6])).
% 40.30/6.55 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X4)),X5)),X6),equivalent(X5,X6)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_6])).
% 40.30/6.55 cnf(c_0_28, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X4)),X5)),equivalent(equivalent(equivalent(X5,X6),equivalent(X7,X6)),X7)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_6])).
% 40.30/6.55 cnf(c_0_29, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X4)),X1),X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_28]), c_0_6])).
% 40.30/6.55 cnf(c_0_30, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X4))),X1),X5),equivalent(X6,X5)),X6))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_18]), c_0_6])).
% 40.30/6.55 cnf(c_0_31, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X4)),true,is_a_theorem(equivalent(X3,X4)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_23]), c_0_6])).
% 40.30/6.55 cnf(c_0_32, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X4)),X1),X2)),X5),equivalent(X6,X5)),X6))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_29]), c_0_6])).
% 40.30/6.55 cnf(c_0_33, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4),X5),equivalent(X6,X5)),X6))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_22]), c_0_6])).
% 40.30/6.55 cnf(c_0_34, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X4))),X1),X5),equivalent(X6,X5))),true,is_a_theorem(X6),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_30]), c_0_6])).
% 40.30/6.55 cnf(c_0_35, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X5)),X2),X3))),X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_6])).
% 40.30/6.55 cnf(c_0_36, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),equivalent(X4,X3)),X4),X5),equivalent(X6,X5))),true,is_a_theorem(X6),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_33]), c_0_6])).
% 40.30/6.55 cnf(c_0_37, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X4)),X1),X2)),equivalent(X5,equivalent(equivalent(equivalent(X5,X6),equivalent(X7,X6)),X7))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_6])).
% 40.30/6.55 cnf(c_0_38, negated_conjecture, (is_a_theorem(equivalent(a,a))!=true), inference(fof_simplification,[status(thm)],[prove_reflexivity])).
% 40.30/6.55 cnf(c_0_39, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X2)),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_6])).
% 40.30/6.55 cnf(c_0_40, negated_conjecture, (is_a_theorem(equivalent(a,a))!=true), c_0_38).
% 40.30/6.55 cnf(c_0_41, plain, (is_a_theorem(equivalent(X1,X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_39]), c_0_6])).
% 40.30/6.55 cnf(c_0_42, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])]), ['proof']).
% 40.30/6.55 % SZS output end Proof
% 40.30/6.55 % User time : 5.274 s
% 40.30/6.55 % System time : 0.201 s
% 40.30/6.55 % Total time : 5.475 s
% 40.30/6.55 % User time : 5.274 s
% 40.30/6.55 % System time : 0.206 s
% 40.30/6.55 % Total time : 5.480 s
% 40.30/6.55
%------------------------------------------------------------------------------