%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL085-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n015.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 11:20:18 AM UTC 2026
% Result : Unsatisfiable 8.19s 1.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL085-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n015.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 20:46:58 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 8.19/1.57 % Version : CSI_E---1.1
% 8.19/1.57 % Problem : theBenchmark.p
% 8.19/1.57 % Proof found!
% 8.19/1.57 # SZS status Unsatisfiable
% 8.19/1.57 % SZS output start Proof
% 8.19/1.57 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)).
% 8.19/1.57 cnf(ic_JLukasiewicz, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ic_JLukasiewicz)).
% 8.19/1.57 cnf(prove_ic_5, negated_conjecture, (~is_a_theorem(implies(a,implies(implies(a,b),b)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_ic_5)).
% 8.19/1.57 cnf(c_0_3, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 8.19/1.57 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 8.19/1.57 cnf(c_0_5, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))))), ic_JLukasiewicz).
% 8.19/1.57 cnf(c_0_6, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(implies(X2,X4),X1))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 8.19/1.57 cnf(c_0_7, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 8.19/1.57 cnf(c_0_8, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X4,X2),implies(X5,X2))),implies(X6,implies(implies(X4,X2),implies(X5,X2)))))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 8.19/1.57 cnf(c_0_9, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(implies(X5,implies(X3,X6)),implies(implies(X2,X3),implies(X4,X3))))), inference(spm,[status(thm)],[c_0_4, c_0_8])).
% 8.19/1.57 cnf(c_0_10, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3))))), inference(spm,[status(thm)],[c_0_9, c_0_7])).
% 8.19/1.57 cnf(c_0_11, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_10])).
% 8.19/1.57 cnf(c_0_12, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,X2)))), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 8.19/1.57 cnf(c_0_13, plain, (is_a_theorem(implies(X1,X1))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_4, c_0_12])).
% 8.19/1.57 cnf(c_0_14, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 8.19/1.57 cnf(c_0_15, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 8.19/1.57 cnf(c_0_16, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_6, c_0_15])).
% 8.19/1.57 cnf(c_0_17, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3))))), inference(spm,[status(thm)],[c_0_6, c_0_16])).
% 8.19/1.57 cnf(c_0_18, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2))))), inference(spm,[status(thm)],[c_0_6, c_0_17])).
% 8.19/1.57 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,implies(X3,X5)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_4, c_0_18])).
% 8.19/1.57 cnf(c_0_20, plain, (is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3))))), inference(spm,[status(thm)],[c_0_19, c_0_5])).
% 8.19/1.57 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2))))), inference(spm,[status(thm)],[c_0_9, c_0_5])).
% 8.19/1.57 cnf(c_0_22, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_20])).
% 8.19/1.57 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),implies(X5,X4)))), inference(spm,[status(thm)],[c_0_6, c_0_21])).
% 8.19/1.57 cnf(c_0_24, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_22, c_0_5])).
% 8.19/1.57 cnf(c_0_25, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(implies(X3,X4),X3),implies(X5,X3)),X2))), inference(spm,[status(thm)],[c_0_4, c_0_23])).
% 8.19/1.57 cnf(c_0_26, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3))))), inference(spm,[status(thm)],[c_0_6, c_0_24])).
% 8.19/1.57 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 8.19/1.57 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_27])).
% 8.19/1.57 cnf(c_0_29, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))), inference(spm,[status(thm)],[c_0_28, c_0_5])).
% 8.19/1.57 cnf(c_0_30, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_29])).
% 8.19/1.57 cnf(c_0_31, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5)))))), inference(spm,[status(thm)],[c_0_6, c_0_18])).
% 8.19/1.57 cnf(c_0_32, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_30, c_0_5])).
% 8.19/1.57 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(implies(X5,implies(X6,X3)),implies(X2,implies(X3,X4))))), inference(spm,[status(thm)],[c_0_4, c_0_31])).
% 8.19/1.57 cnf(c_0_34, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))), inference(spm,[status(thm)],[c_0_6, c_0_32])).
% 8.19/1.57 cnf(c_0_35, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_4, c_0_32])).
% 8.19/1.57 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4))))), inference(spm,[status(thm)],[c_0_33, c_0_5])).
% 8.19/1.57 cnf(c_0_37, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_4, c_0_34])).
% 8.19/1.57 cnf(c_0_38, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 8.19/1.57 cnf(c_0_39, plain, (is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3))))), inference(spm,[status(thm)],[c_0_37, c_0_34])).
% 8.19/1.57 cnf(c_0_40, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_4, c_0_38])).
% 8.19/1.57 cnf(c_0_41, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_35, c_0_39])).
% 8.19/1.57 cnf(c_0_42, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_40, c_0_5])).
% 8.19/1.57 cnf(c_0_43, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_4, c_0_41])).
% 8.19/1.57 cnf(c_0_44, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1)))), inference(spm,[status(thm)],[c_0_6, c_0_42])).
% 8.19/1.57 cnf(c_0_45, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(implies(X4,X2),implies(X5,X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 8.19/1.57 cnf(c_0_46, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 8.19/1.57 cnf(c_0_47, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_45, c_0_14])).
% 8.19/1.57 cnf(c_0_48, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),X4))), inference(spm,[status(thm)],[c_0_43, c_0_23])).
% 8.19/1.57 cnf(c_0_49, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(X5,implies(implies(implies(X1,X2),X3),implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_6, c_0_46])).
% 8.19/1.57 cnf(c_0_50, plain, (is_a_theorem(implies(X1,implies(X2,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_47])).
% 8.19/1.57 cnf(c_0_51, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X3),X2),implies(X4,X2)),X1))), inference(spm,[status(thm)],[c_0_4, c_0_48])).
% 8.19/1.57 cnf(c_0_52, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(implies(implies(X1,X2),X3),implies(X4,X3))))), inference(spm,[status(thm)],[c_0_43, c_0_49])).
% 8.19/1.57 cnf(c_0_53, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_50, c_0_5])).
% 8.19/1.57 cnf(c_0_54, plain, (is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
% 8.19/1.57 cnf(c_0_55, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_53])).
% 8.19/1.57 cnf(c_0_56, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)),implies(X5,implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4))))), inference(spm,[status(thm)],[c_0_6, c_0_54])).
% 8.19/1.57 cnf(c_0_57, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_55])).
% 8.19/1.57 cnf(c_0_58, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)))), inference(spm,[status(thm)],[c_0_43, c_0_56])).
% 8.19/1.57 cnf(c_0_59, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_57])).
% 8.19/1.57 cnf(c_0_60, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1))), inference(spm,[status(thm)],[c_0_51, c_0_58])).
% 8.19/1.57 cnf(c_0_61, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X2),X3))), inference(spm,[status(thm)],[c_0_59, c_0_38])).
% 8.19/1.57 cnf(c_0_62, plain, (is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3))))), inference(spm,[status(thm)],[c_0_6, c_0_60])).
% 8.19/1.57 cnf(c_0_63, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_61, c_0_5])).
% 8.19/1.57 cnf(c_0_64, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_62])).
% 8.19/1.57 cnf(c_0_65, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),implies(X5,X4)))), inference(spm,[status(thm)],[c_0_6, c_0_63])).
% 8.19/1.57 cnf(c_0_66, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2))), inference(spm,[status(thm)],[c_0_43, c_0_64])).
% 8.19/1.57 cnf(c_0_67, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(implies(X3,X5),X2))), inference(spm,[status(thm)],[c_0_59, c_0_5])).
% 8.19/1.57 cnf(c_0_68, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),X4))), inference(spm,[status(thm)],[c_0_43, c_0_65])).
% 8.19/1.57 cnf(c_0_69, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X1,X3),X1),X4))),implies(X5,implies(X2,implies(implies(implies(X1,X3),X1),X4)))))), inference(spm,[status(thm)],[c_0_6, c_0_66])).
% 8.19/1.57 cnf(c_0_70, plain, (is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3)))))), inference(spm,[status(thm)],[c_0_67, c_0_32])).
% 8.19/1.57 cnf(c_0_71, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,implies(implies(X2,X3),implies(X4,X3))),X1))), inference(spm,[status(thm)],[c_0_4, c_0_68])).
% 8.19/1.57 cnf(c_0_72, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X1,X3),X1),X4))),implies(X2,implies(implies(implies(X1,X3),X1),X4))))), inference(spm,[status(thm)],[c_0_43, c_0_69])).
% 8.19/1.57 cnf(c_0_73, plain, (is_a_theorem(implies(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4),implies(X5,X4)))), inference(spm,[status(thm)],[c_0_6, c_0_70])).
% 8.19/1.57 cnf(c_0_74, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2)))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 8.19/1.57 cnf(c_0_75, plain, (is_a_theorem(implies(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4),X4))), inference(spm,[status(thm)],[c_0_43, c_0_73])).
% 8.19/1.57 cnf(c_0_76, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3))))), inference(spm,[status(thm)],[c_0_71, c_0_74])).
% 8.19/1.57 cnf(c_0_77, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))),X1))), inference(spm,[status(thm)],[c_0_4, c_0_75])).
% 8.19/1.57 cnf(c_0_78, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_76])).
% 8.19/1.57 cnf(c_0_79, negated_conjecture, (~is_a_theorem(implies(a,implies(implies(a,b),b)))), inference(fof_simplification,[status(thm)],[prove_ic_5])).
% 8.19/1.57 cnf(c_0_80, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))), inference(spm,[status(thm)],[c_0_77, c_0_78])).
% 8.19/1.57 cnf(c_0_81, negated_conjecture, (~is_a_theorem(implies(a,implies(implies(a,b),b)))), c_0_79).
% 8.19/1.57 cnf(c_0_82, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_35, c_0_80])).
% 8.19/1.57 cnf(c_0_83, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])]), ['proof']).
% 8.19/1.57 % SZS output end Proof
% 8.19/1.57 % User time : 0.996 s
% 8.19/1.57 % System time : 0.029 s
% 8.19/1.57 % Total time : 1.026 s
% 8.19/1.57 % User time : 4.997 s
% 8.19/1.57 % System time : 0.139 s
% 8.19/1.57 % Total time : 5.136 s
% 8.19/1.57
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