%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n013.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 11:20:19 AM UTC 2026
% Result : Unsatisfiable 23.34s 3.92s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n013.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 : Fri Sep 4 13:18:34 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.45 start to proof:theBenchmark.p
% 23.34/3.92 % Version : CSI_E---1.1
% 23.34/3.92 % Problem : theBenchmark.p
% 23.34/3.92 % Proof found!
% 23.34/3.92 # SZS status Unsatisfiable
% 23.34/3.92 % SZS output start Proof
% 23.34/3.92 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)).
% 23.34/3.92 cnf(lg_2, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lg_2)).
% 23.34/3.92 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifeq_axiom)).
% 23.34/3.92 cnf(lg_4, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4))))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lg_4)).
% 23.34/3.92 cnf(lg_3, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5))=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lg_3)).
% 23.34/3.92 cnf(prove_lg_1, negated_conjecture, (is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))!=true), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_lg_1)).
% 23.34/3.92 cnf(c_0_6, axiom, (ifeq(is_a_theorem(equivalent(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true)=true), condensed_detachment).
% 23.34/3.92 cnf(c_0_7, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))=true), lg_2).
% 23.34/3.92 cnf(c_0_8, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 23.34/3.92 cnf(c_0_9, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4)),true,is_a_theorem(X4),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])).
% 23.34/3.92 cnf(c_0_10, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4))))=true), lg_4).
% 23.34/3.92 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(equivalent(X4,X2),equivalent(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_8])).
% 23.34/3.92 cnf(c_0_12, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3))),true,is_a_theorem(equivalent(equivalent(X4,X2),equivalent(X4,X3))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_11]), c_0_8])).
% 23.34/3.92 cnf(c_0_13, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_11]), c_0_8])).
% 23.34/3.92 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_13]), c_0_8])).
% 23.34/3.92 cnf(c_0_15, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3))),true,is_a_theorem(equivalent(X2,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_14]), c_0_8])).
% 23.34/3.92 cnf(c_0_16, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_11]), c_0_8])).
% 23.34/3.92 cnf(c_0_17, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X1)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_10]), c_0_8])).
% 23.34/3.92 cnf(c_0_18, plain, (is_a_theorem(equivalent(X1,X1))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_8])).
% 23.34/3.92 cnf(c_0_19, plain, (is_a_theorem(equivalent(equivalent(X1,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_17]), c_0_8])).
% 23.34/3.92 cnf(c_0_20, 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_6, c_0_18]), c_0_8])).
% 23.34/3.92 cnf(c_0_21, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5))=true), lg_3).
% 23.34/3.92 cnf(c_0_22, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X4))),equivalent(X1,equivalent(X3,X4))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_19]), c_0_8])).
% 23.34/3.92 cnf(c_0_23, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4),X5)),true,is_a_theorem(X5),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])).
% 23.34/3.92 cnf(c_0_24, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_8])).
% 23.34/3.92 cnf(c_0_25, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X4)))),true,is_a_theorem(equivalent(X1,equivalent(X3,X4))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_22]), c_0_8])).
% 23.34/3.92 cnf(c_0_26, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X4,X1),equivalent(X4,X2)),X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_8])).
% 23.34/3.92 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_10]), c_0_8])).
% 23.34/3.92 cnf(c_0_28, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),X4)),equivalent(equivalent(X3,X2),X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_8])).
% 23.34/3.92 cnf(c_0_29, plain, (ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X1)),X3)),true,is_a_theorem(X3),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_17]), c_0_8])).
% 23.34/3.92 cnf(c_0_30, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(equivalent(X2,X4),X1),equivalent(X4,X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_27]), c_0_8])).
% 23.34/3.92 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X3)),equivalent(X1,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_28]), c_0_8])).
% 23.34/3.92 cnf(c_0_32, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X1),X2),X3),equivalent(X2,X3)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_8])).
% 23.34/3.92 cnf(c_0_33, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_27]), c_0_8])).
% 23.34/3.92 cnf(c_0_34, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X3))),true,is_a_theorem(equivalent(X1,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_31]), c_0_8])).
% 23.34/3.92 cnf(c_0_35, plain, (ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X3)),true,is_a_theorem(equivalent(X2,X3)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_32]), c_0_8])).
% 23.34/3.92 cnf(c_0_36, plain, (ifeq(is_a_theorem(equivalent(X1,X2)),true,is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_33]), c_0_8])).
% 23.34/3.92 cnf(c_0_37, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_28]), c_0_8])).
% 23.34/3.92 cnf(c_0_38, 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_35, c_0_33]), c_0_8])).
% 23.34/3.92 cnf(c_0_39, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X4))),equivalent(X1,X4)))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_8])).
% 23.34/3.92 cnf(c_0_40, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,equivalent(X3,equivalent(equivalent(X3,equivalent(X4,X4)),X2)))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_38]), c_0_8])).
% 23.34/3.92 cnf(c_0_41, negated_conjecture, (is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))!=true), inference(fof_simplification,[status(thm)],[prove_lg_1])).
% 23.34/3.92 cnf(c_0_42, plain, (ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X4)))),true,is_a_theorem(equivalent(X1,X4)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_39]), c_0_8])).
% 23.34/3.92 cnf(c_0_43, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X2,equivalent(equivalent(X1,equivalent(X4,X4)),X3))))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_40]), c_0_8])).
% 23.34/3.92 cnf(c_0_44, negated_conjecture, (is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))!=true), c_0_41).
% 23.34/3.92 cnf(c_0_45, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X1)),X3),X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_8])).
% 23.34/3.92 cnf(c_0_46, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])]), ['proof']).
% 23.34/3.92 % SZS output end Proof
% 23.34/3.92 % User time : 3.241 s
% 23.34/3.92 % System time : 0.130 s
% 23.34/3.92 % Total time : 3.371 s
% 23.34/3.92 % User time : 3.245 s
% 23.34/3.92 % System time : 0.131 s
% 23.34/3.92 % Total time : 3.376 s
% 23.34/3.92
%------------------------------------------------------------------------------