%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n012.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 1.82s 0.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.01 % Command : java -jar mcs_scs.jar %d %s
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 5 20:39:42 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.07/0.36 start to proof:theBenchmark.p
% 1.82/0.66 % Version : CSI_E---1.1
% 1.82/0.66 % Problem : theBenchmark.p
% 1.82/0.66 % Proof found!
% 1.82/0.66 # SZS status Unsatisfiable
% 1.82/0.66 % SZS output start Proof
% 1.82/0.66 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 1.82/0.66 cnf(xhn, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', xhn)).
% 1.82/0.66 cnf(prove_xhk, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(a,c),b))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_xhk)).
% 1.82/0.66 cnf(c_0_3, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 1.82/0.66 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 1.82/0.66 cnf(c_0_5, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2))))), xhn).
% 1.82/0.66 cnf(c_0_6, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 1.82/0.66 cnf(c_0_7, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X3,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_6])).
% 1.82/0.66 cnf(c_0_8, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,X3))|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 1.82/0.66 cnf(c_0_9, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X4),X2)))|~is_a_theorem(equivalent(X1,X4))), inference(spm,[status(thm)],[c_0_8, c_0_5])).
% 1.82/0.66 cnf(c_0_10, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_9, c_0_6])).
% 1.82/0.66 cnf(c_0_11, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X2,X3),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_10, c_0_6])).
% 1.82/0.66 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X4)),X1)),X3))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 1.82/0.66 cnf(c_0_13, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X3,equivalent(X1,X4)),X2))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 1.82/0.66 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X2,equivalent(X4,X1))))|~is_a_theorem(X4)|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_13, c_0_12])).
% 1.82/0.66 cnf(c_0_15, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),X3)))|~is_a_theorem(X4)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 1.82/0.66 cnf(c_0_16, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),X3)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_15, c_0_5])).
% 1.82/0.66 cnf(c_0_17, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),X3))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_10, c_0_16])).
% 1.82/0.66 cnf(c_0_18, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X3))|~is_a_theorem(X1)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_11, c_0_6])).
% 1.82/0.66 cnf(c_0_19, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,equivalent(X1,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_17, c_0_12])).
% 1.82/0.66 cnf(c_0_20, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(X3)|~is_a_theorem(X1)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_10, c_0_18])).
% 1.82/0.66 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X1)))|~is_a_theorem(X3)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_19, c_0_6])).
% 1.82/0.66 cnf(c_0_22, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X3)|~is_a_theorem(X1)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_10, c_0_20])).
% 1.82/0.66 cnf(c_0_23, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X2))|~is_a_theorem(X3)|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_11, c_0_21])).
% 1.82/0.66 cnf(c_0_24, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))), inference(spm,[status(thm)],[c_0_10, c_0_5])).
% 1.82/0.66 cnf(c_0_25, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_22, c_0_5])).
% 1.82/0.66 cnf(c_0_26, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X2,X3),X1))), inference(spm,[status(thm)],[c_0_19, c_0_5])).
% 1.82/0.66 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_23, c_0_5])).
% 1.82/0.66 cnf(c_0_28, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X1),X3))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 1.82/0.66 cnf(c_0_29, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 1.82/0.66 cnf(c_0_30, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,X1)),X2)),X4))), inference(spm,[status(thm)],[c_0_28, c_0_5])).
% 1.82/0.66 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),X3))|~is_a_theorem(X1)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_16])).
% 1.82/0.66 cnf(c_0_32, plain, (is_a_theorem(equivalent(X1,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_11, c_0_29])).
% 1.82/0.66 cnf(c_0_33, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,X1)))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 1.82/0.66 cnf(c_0_34, plain, (is_a_theorem(equivalent(X1,X1))), inference(spm,[status(thm)],[c_0_32, c_0_5])).
% 1.82/0.66 cnf(c_0_35, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X3,X1),X2))), inference(spm,[status(thm)],[c_0_33, c_0_5])).
% 1.82/0.66 cnf(c_0_36, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X2,X1)))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 1.82/0.66 cnf(c_0_37, plain, (is_a_theorem(equivalent(equivalent(X1,X1),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_35, c_0_27])).
% 1.82/0.66 cnf(c_0_38, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X1),X2))), inference(spm,[status(thm)],[c_0_26, c_0_34])).
% 1.82/0.66 cnf(c_0_39, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),X1))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 1.82/0.66 cnf(c_0_40, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X1)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_11, c_0_38])).
% 1.82/0.66 cnf(c_0_41, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
% 1.82/0.66 cnf(c_0_42, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X3))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_26, c_0_41])).
% 1.82/0.66 cnf(c_0_43, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(X3,X1)),X2),X3))), inference(spm,[status(thm)],[c_0_30, c_0_42])).
% 1.82/0.66 cnf(c_0_44, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X2,X3))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_26, c_0_25])).
% 1.82/0.66 cnf(c_0_45, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,X1)))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 1.82/0.66 cnf(c_0_46, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X2,equivalent(X3,X1)))), inference(spm,[status(thm)],[c_0_45, c_0_5])).
% 1.82/0.66 cnf(c_0_47, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X3,equivalent(X1,X2)))), inference(spm,[status(thm)],[c_0_26, c_0_46])).
% 1.82/0.66 cnf(c_0_48, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)),X3))), inference(spm,[status(thm)],[c_0_47, c_0_5])).
% 1.82/0.66 cnf(c_0_49, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_17, c_0_48])).
% 1.82/0.66 cnf(c_0_50, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,X1),X2)))), inference(spm,[status(thm)],[c_0_26, c_0_48])).
% 1.82/0.66 cnf(c_0_51, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X2,equivalent(X3,X1))))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 1.82/0.66 cnf(c_0_52, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X1,X3))),equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_35, c_0_51])).
% 1.82/0.66 cnf(c_0_53, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X1),X3))), inference(spm,[status(thm)],[c_0_28, c_0_50])).
% 1.82/0.66 cnf(c_0_54, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(X2,equivalent(X3,X1)))))), inference(spm,[status(thm)],[c_0_49, c_0_52])).
% 1.82/0.66 cnf(c_0_55, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X1)),X3)),X2))), inference(spm,[status(thm)],[c_0_53, c_0_52])).
% 1.82/0.66 cnf(c_0_56, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X1,equivalent(X2,X3)))),X3))), inference(spm,[status(thm)],[c_0_35, c_0_54])).
% 1.82/0.66 cnf(c_0_57, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(X2,equivalent(X3,X1)))), inference(spm,[status(thm)],[c_0_33, c_0_54])).
% 1.82/0.66 cnf(c_0_58, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,equivalent(X3,X2)),X3)))), inference(spm,[status(thm)],[c_0_26, c_0_55])).
% 1.82/0.66 cnf(c_0_59, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X1,X3))),X2))), inference(spm,[status(thm)],[c_0_53, c_0_56])).
% 1.82/0.66 cnf(c_0_60, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,equivalent(X1,X3)))))), inference(spm,[status(thm)],[c_0_57, c_0_58])).
% 1.82/0.66 cnf(c_0_61, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X3,X1),X2))), inference(spm,[status(thm)],[c_0_11, c_0_48])).
% 1.82/0.66 cnf(c_0_62, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),X2)),X3))), inference(spm,[status(thm)],[c_0_53, c_0_59])).
% 1.82/0.66 cnf(c_0_63, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X1,X3),X2))), inference(spm,[status(thm)],[c_0_33, c_0_60])).
% 1.82/0.66 cnf(c_0_64, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X2),equivalent(X1,X3)))), inference(spm,[status(thm)],[c_0_61, c_0_55])).
% 1.82/0.66 cnf(c_0_65, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(a,c),b))))), inference(fof_simplification,[status(thm)],[prove_xhk])).
% 1.82/0.66 cnf(c_0_66, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X1,X2),X3))), inference(spm,[status(thm)],[c_0_11, c_0_62])).
% 1.82/0.66 cnf(c_0_67, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,X3),X2)))), inference(spm,[status(thm)],[c_0_63, c_0_64])).
% 1.82/0.66 cnf(c_0_68, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(a,c),b))))), c_0_65).
% 1.82/0.66 cnf(c_0_69, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,X3),X2))))), inference(spm,[status(thm)],[c_0_66, c_0_67])).
% 1.82/0.66 cnf(c_0_70, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_69])]), ['proof']).
% 1.82/0.66 % SZS output end Proof
% 1.82/0.66 % User time : 0.259 s
% 1.82/0.66 % System time : 0.016 s
% 1.82/0.66 % Total time : 0.275 s
% 1.82/0.66 % User time : 0.260 s
% 1.82/0.66 % System time : 0.018 s
% 1.82/0.66 % Total time : 0.278 s
% 1.82/0.66
%------------------------------------------------------------------------------