%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n019.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 : Unsatisfiable 10.23s 2.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 4 13:59:23 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 10.23/2.22 % Version : CSI_E---1.1
% 10.23/2.22 % Problem : theBenchmark.p
% 10.23/2.22 % Proof found!
% 10.23/2.22 # SZS status Unsatisfiable
% 10.23/2.22 % SZS output start Proof
% 10.23/2.22 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)).
% 10.23/2.22 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)).
% 10.23/2.22 cnf(cn_2, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_2)).
% 10.23/2.22 cnf(cn_3, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_3)).
% 10.23/2.22 cnf(prove_cn_15, negated_conjecture, (~is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_15)).
% 10.23/2.22 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])).
% 10.23/2.22 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 10.23/2.22 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), cn_1).
% 10.23/2.22 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])).
% 10.23/2.22 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])).
% 10.23/2.22 cnf(c_0_10, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))), cn_2).
% 10.23/2.22 cnf(c_0_11, 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])).
% 10.23/2.22 cnf(c_0_12, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), cn_3).
% 10.23/2.22 cnf(c_0_13, 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_10])).
% 10.23/2.22 cnf(c_0_14, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 10.23/2.22 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 10.23/2.22 cnf(c_0_16, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 10.23/2.22 cnf(c_0_17, 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_12])).
% 10.23/2.22 cnf(c_0_18, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 10.23/2.22 cnf(c_0_19, 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_17])).
% 10.23/2.22 cnf(c_0_20, 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_17])).
% 10.23/2.22 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_11, c_0_18])).
% 10.23/2.22 cnf(c_0_22, 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_19, c_0_8])).
% 10.23/2.22 cnf(c_0_23, 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_20, c_0_12])).
% 10.23/2.22 cnf(c_0_24, plain, (is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_13, c_0_10])).
% 10.23/2.22 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X4,X3))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_21, c_0_18])).
% 10.23/2.22 cnf(c_0_26, 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_22, c_0_10])).
% 10.23/2.22 cnf(c_0_27, plain, (is_a_theorem(implies(implies(not(X1),X1),implies(not(X1),X2)))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 10.23/2.22 cnf(c_0_28, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_6, c_0_10])).
% 10.23/2.22 cnf(c_0_29, 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])).
% 10.23/2.22 cnf(c_0_30, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(not(X3),X3))), inference(spm,[status(thm)],[c_0_25, c_0_10])).
% 10.23/2.22 cnf(c_0_31, plain, (is_a_theorem(implies(not(implies(implies(not(X1),X1),X1)),X2))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 10.23/2.22 cnf(c_0_32, 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_28, c_0_29])).
% 10.23/2.22 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(not(X3),X3),X3))))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 10.23/2.22 cnf(c_0_34, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 10.23/2.22 cnf(c_0_35, 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_20, c_0_7])).
% 10.23/2.22 cnf(c_0_36, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_13, c_0_34])).
% 10.23/2.22 cnf(c_0_37, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(not(implies(X1,X2)),X3)))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 10.23/2.22 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_13, c_0_37])).
% 10.23/2.22 cnf(c_0_39, negated_conjecture, (~is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x)))), inference(fof_simplification,[status(thm)],[prove_cn_15])).
% 10.23/2.22 cnf(c_0_40, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3)))), inference(spm,[status(thm)],[c_0_35, c_0_38])).
% 10.23/2.22 cnf(c_0_41, negated_conjecture, (~is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x)))), c_0_39).
% 10.23/2.22 cnf(c_0_42, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_13, c_0_40])).
% 10.23/2.22 cnf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])]), ['proof']).
% 10.23/2.22 % SZS output end Proof
% 10.23/2.22 % User time : 1.620 s
% 10.23/2.22 % System time : 0.074 s
% 10.23/2.22 % Total time : 1.694 s
% 10.23/2.22 % User time : 1.621 s
% 10.23/2.22 % System time : 0.078 s
% 10.23/2.22 % Total time : 1.699 s
% 10.23/2.22
%------------------------------------------------------------------------------