%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n004.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 11:20:48 AM UTC 2026
% Result : Theorem 16.11s 2.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 23:53:29 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.24/0.48 start to proof:theBenchmark.p
% 16.11/2.82 % Version : CSI_E---1.1
% 16.11/2.82 % Problem : theBenchmark.p
% 16.11/2.82 % Proof found!
% 16.11/2.82 % SZS status Theorem for theBenchmark.p
% 16.11/2.82 % SZS output start Proof
% 16.11/2.82 fof(condensed_detachment, axiom, ![X1, X2]:(((is_a_theorem(implies(X1,X2))&is_a_theorem(X1))=>is_a_theorem(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 16.11/2.82 fof(cn_1, axiom, ![X1, X2, X3]:(is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_1)).
% 16.11/2.82 fof(cn_2, axiom, ![X1]:(is_a_theorem(implies(implies(not(X1),X1),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_2)).
% 16.11/2.82 fof(cn_3, axiom, ![X1, X2]:(is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_3)).
% 16.11/2.82 fof(prove_cn_14, conjecture, is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_14)).
% 16.11/2.82 fof(c_0_5, plain, ![X4, X5]:((~is_a_theorem(implies(X4,X5))|~is_a_theorem(X4)|is_a_theorem(X5))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[condensed_detachment])])])).
% 16.11/2.82 fof(c_0_6, plain, ![X6, X7, X8]:(is_a_theorem(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))))), inference(variable_rename,[status(thm)],[cn_1])).
% 16.11/2.82 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 16.11/2.82 cnf(c_0_8, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 16.11/2.82 cnf(c_0_9, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 16.11/2.82 fof(c_0_10, plain, ![X9]:(is_a_theorem(implies(implies(not(X9),X9),X9))), inference(variable_rename,[status(thm)],[cn_2])).
% 16.11/2.82 cnf(c_0_11, 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_7, c_0_9])).
% 16.11/2.82 fof(c_0_12, plain, ![X10, X11]:(is_a_theorem(implies(X10,implies(not(X10),X11)))), inference(variable_rename,[status(thm)],[cn_3])).
% 16.11/2.82 cnf(c_0_13, plain, (is_a_theorem(implies(implies(not(X1),X1),X1))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 16.11/2.82 cnf(c_0_14, 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_11, c_0_9])).
% 16.11/2.82 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(not(X1),X2)))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 16.11/2.82 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_13])).
% 16.11/2.82 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 16.11/2.82 cnf(c_0_18, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 16.11/2.82 cnf(c_0_19, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_7, c_0_15])).
% 16.11/2.82 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 16.11/2.82 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,X4))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_14, c_0_20])).
% 16.11/2.82 fof(c_0_22, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_cn_14])])).
% 16.11/2.82 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))|~is_a_theorem(implies(X3,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_14, c_0_8])).
% 16.11/2.82 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(not(X2),X4),X3))), inference(spm,[status(thm)],[c_0_21, c_0_15])).
% 16.11/2.82 cnf(c_0_25, plain, (is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_16, c_0_13])).
% 16.11/2.82 fof(c_0_26, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))), inference(fof_nnf,[status(thm)],[c_0_22])).
% 16.11/2.82 cnf(c_0_27, 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_11, c_0_8])).
% 16.11/2.82 cnf(c_0_28, 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_16, c_0_23])).
% 16.11/2.82 cnf(c_0_29, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 16.11/2.82 cnf(c_0_30, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 16.11/2.82 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X2,implies(X5,X4)))|~is_a_theorem(implies(X1,implies(X3,X5)))), inference(spm,[status(thm)],[c_0_14, c_0_27])).
% 16.11/2.83 cnf(c_0_32, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_24, c_0_13])).
% 16.11/2.83 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),X4)))|~is_a_theorem(implies(implies(implies(X3,X5),implies(X2,X5)),X4))), inference(spm,[status(thm)],[c_0_21, c_0_8])).
% 16.11/2.83 cnf(c_0_34, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 16.11/2.83 cnf(c_0_35, negated_conjecture, (~is_a_theorem(implies(implies(not(z),y),implies(x,implies(implies(y,z),z))))), inference(spm,[status(thm)],[c_0_30, c_0_9])).
% 16.11/2.83 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))|~is_a_theorem(implies(X1,implies(X3,X4)))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 16.11/2.83 cnf(c_0_37, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_7, c_0_13])).
% 16.11/2.83 cnf(c_0_38, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X3),implies(implies(X3,X2),X2))))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 16.11/2.83 cnf(c_0_39, negated_conjecture, (~is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z)))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 16.11/2.83 cnf(c_0_40, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 16.11/2.83 cnf(c_0_41, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])]), ['proof']).
% 16.11/2.83 % SZS output end Proof
% 16.11/2.83 % User time : 2.144 s
% 16.11/2.83 % System time : 0.077 s
% 16.11/2.83 % Total time : 2.221 s
% 16.11/2.83 % User time : 10.989 s
% 16.11/2.83 % System time : 0.211 s
% 16.11/2.83 % Total time : 11.200 s
% 16.11/2.83
%------------------------------------------------------------------------------