%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL400-1 : TPTP v9.3.1. Released v2.3.0.
% 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 11:20:54 AM UTC 2026
% Result : Unsatisfiable 9.12s 1.92s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL400-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.36 % Computer : n009.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 : Fri Sep 4 18:18:36 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.24/0.48 start to proof:theBenchmark.p
% 9.12/1.92 % Version : CSI_E---1.1
% 9.12/1.92 % Problem : theBenchmark.p
% 9.12/1.92 % Proof found!
% 9.12/1.92 # SZS status Unsatisfiable
% 9.12/1.92 % SZS output start Proof
% 9.12/1.92 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 9.12/1.92 cnf(cn_1, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_1)).
% 9.12/1.92 cnf(cn_3, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_3)).
% 9.12/1.92 cnf(cn_2, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_2)).
% 9.12/1.92 cnf(prove_cn_66, negated_conjecture, (~is_a_theorem(implies(not(implies(x,y)),x))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_66)).
% 9.12/1.92 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 9.12/1.92 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 9.12/1.92 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), cn_1).
% 9.12/1.92 cnf(c_0_8, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 9.12/1.92 cnf(c_0_9, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 9.12/1.92 cnf(c_0_10, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), cn_3).
% 9.12/1.92 cnf(c_0_11, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 9.12/1.92 cnf(c_0_12, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))), cn_2).
% 9.12/1.92 cnf(c_0_13, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_6, c_0_11])).
% 9.12/1.92 cnf(c_0_14, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X4))|~is_a_theorem(implies(X4,X2))), inference(spm,[status(thm)],[c_0_9, c_0_11])).
% 9.12/1.92 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_9, c_0_12])).
% 9.12/1.92 cnf(c_0_16, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(X4,X3)))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_9, c_0_8])).
% 9.12/1.92 cnf(c_0_17, plain, (is_a_theorem(implies(not(implies(X1,X2)),X3))|~is_a_theorem(implies(X4,X2))|~is_a_theorem(implies(X1,X4))), inference(spm,[status(thm)],[c_0_13, c_0_8])).
% 9.12/1.92 cnf(c_0_18, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(implies(not(X1),X4),X2))), inference(spm,[status(thm)],[c_0_14, c_0_10])).
% 9.12/1.92 cnf(c_0_19, plain, (is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_15, c_0_12])).
% 9.12/1.92 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_15, c_0_10])).
% 9.12/1.92 cnf(c_0_21, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X2),X1))), inference(spm,[status(thm)],[c_0_15, c_0_8])).
% 9.12/1.92 cnf(c_0_22, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_16, c_0_10])).
% 9.12/1.92 cnf(c_0_23, plain, (is_a_theorem(implies(not(implies(X1,X2)),X3))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_17, c_0_12])).
% 9.12/1.92 cnf(c_0_24, plain, (is_a_theorem(implies(implies(not(X1),X1),implies(not(X1),X2)))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 9.12/1.92 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(not(implies(not(X1),X2)),X3)))), inference(spm,[status(thm)],[c_0_18, c_0_20])).
% 9.12/1.92 cnf(c_0_26, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(implies(not(X2),X3))), inference(spm,[status(thm)],[c_0_9, c_0_21])).
% 9.12/1.92 cnf(c_0_27, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_15, c_0_22])).
% 9.12/1.92 cnf(c_0_28, plain, (is_a_theorem(implies(not(implies(implies(not(X1),X1),X1)),X2))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 9.12/1.92 cnf(c_0_29, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 9.12/1.92 cnf(c_0_30, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X1,implies(X4,X2)))), inference(spm,[status(thm)],[c_0_9, c_0_7])).
% 9.12/1.92 cnf(c_0_31, plain, (is_a_theorem(implies(not(implies(X1,implies(not(X1),X2))),X3))), inference(spm,[status(thm)],[c_0_23, c_0_25])).
% 9.12/1.92 cnf(c_0_32, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(not(implies(X1,X3)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_26, c_0_7])).
% 9.12/1.92 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 9.12/1.92 cnf(c_0_34, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 9.12/1.92 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3))))), inference(spm,[status(thm)],[c_0_27, c_0_31])).
% 9.12/1.92 cnf(c_0_36, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X3),X4)))|~is_a_theorem(implies(implies(implies(X2,X5),implies(X1,X5)),X3))), inference(spm,[status(thm)],[c_0_14, c_0_7])).
% 9.12/1.92 cnf(c_0_37, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 9.12/1.92 cnf(c_0_38, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 9.12/1.92 cnf(c_0_39, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3)))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 9.12/1.92 cnf(c_0_40, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(not(X1),X3),X2))), inference(spm,[status(thm)],[c_0_6, c_0_38])).
% 9.12/1.92 cnf(c_0_41, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_15, c_0_39])).
% 9.12/1.92 cnf(c_0_42, plain, (is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),X4))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_13, c_0_7])).
% 9.12/1.92 cnf(c_0_43, plain, (is_a_theorem(implies(X1,implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 9.12/1.92 cnf(c_0_44, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X4,X2))), inference(spm,[status(thm)],[c_0_27, c_0_42])).
% 9.12/1.92 cnf(c_0_45, plain, (is_a_theorem(implies(X1,implies(X2,X1)))|~is_a_theorem(implies(X2,implies(X3,X1)))), inference(spm,[status(thm)],[c_0_16, c_0_43])).
% 9.12/1.92 cnf(c_0_46, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X2,implies(X5,X4)))|~is_a_theorem(implies(X3,X5))), inference(spm,[status(thm)],[c_0_16, c_0_44])).
% 9.12/1.92 cnf(c_0_47, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_45, c_0_10])).
% 9.12/1.92 cnf(c_0_48, plain, (is_a_theorem(implies(not(implies(X1,X2)),X3))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_23, c_0_22])).
% 9.12/1.92 cnf(c_0_49, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~is_a_theorem(implies(X3,X4))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 9.12/1.92 cnf(c_0_50, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(not(X3),not(X2)))), inference(spm,[status(thm)],[c_0_27, c_0_48])).
% 9.12/1.92 cnf(c_0_51, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_49, c_0_10])).
% 9.12/1.92 cnf(c_0_52, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(not(X1),not(X3)))), inference(spm,[status(thm)],[c_0_34, c_0_50])).
% 9.12/1.92 cnf(c_0_53, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_34, c_0_51])).
% 9.12/1.92 cnf(c_0_54, plain, (is_a_theorem(implies(implies(X1,not(not(implies(X1,X2)))),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_32, c_0_10])).
% 9.12/1.92 cnf(c_0_55, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X1),not(not(X2))))), inference(spm,[status(thm)],[c_0_15, c_0_52])).
% 9.12/1.92 cnf(c_0_56, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_6, c_0_53])).
% 9.12/1.92 cnf(c_0_57, plain, (is_a_theorem(implies(implies(not(X1),not(not(implies(not(X1),X1)))),X1))), inference(spm,[status(thm)],[c_0_15, c_0_54])).
% 9.12/1.92 cnf(c_0_58, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(not(X1)),not(not(X2))))), inference(spm,[status(thm)],[c_0_40, c_0_55])).
% 9.12/1.92 cnf(c_0_59, plain, (is_a_theorem(implies(not(not(implies(not(X1),X1))),X1))), inference(spm,[status(thm)],[c_0_56, c_0_57])).
% 9.12/1.92 cnf(c_0_60, plain, (is_a_theorem(implies(implies(not(not(not(X1))),not(not(X1))),X1))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 9.12/1.92 cnf(c_0_61, plain, (is_a_theorem(implies(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_40, c_0_60])).
% 9.12/1.92 cnf(c_0_62, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(not(implies(not(X1),X2)),X1))), inference(spm,[status(thm)],[c_0_29, c_0_11])).
% 9.12/1.92 cnf(c_0_63, plain, (is_a_theorem(implies(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_27, c_0_61])).
% 9.12/1.92 cnf(c_0_64, negated_conjecture, (~is_a_theorem(implies(not(implies(x,y)),x))), inference(fof_simplification,[status(thm)],[prove_cn_66])).
% 9.12/1.92 cnf(c_0_65, plain, (is_a_theorem(implies(not(implies(X1,X2)),X3))|~is_a_theorem(implies(X1,not(not(implies(not(implies(X1,X2)),X3)))))), inference(spm,[status(thm)],[c_0_62, c_0_22])).
% 9.12/1.92 cnf(c_0_66, plain, (is_a_theorem(implies(X1,not(not(implies(X2,X1)))))), inference(spm,[status(thm)],[c_0_56, c_0_63])).
% 9.12/1.92 cnf(c_0_67, negated_conjecture, (~is_a_theorem(implies(not(implies(x,y)),x))), c_0_64).
% 9.12/1.92 cnf(c_0_68, plain, (is_a_theorem(implies(not(implies(X1,X2)),X1))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 9.12/1.92 cnf(c_0_69, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])]), ['proof']).
% 9.12/1.92 % SZS output end Proof
% 9.12/1.92 % User time : 1.291 s
% 9.12/1.92 % System time : 0.075 s
% 9.12/1.92 % Total time : 1.366 s
% 9.12/1.92 % User time : 1.291 s
% 9.12/1.92 % System time : 0.078 s
% 9.12/1.92 % Total time : 1.369 s
% 9.12/1.92
%------------------------------------------------------------------------------