%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL399-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n013.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 0.26s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL399-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n013.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 6 00:15:05 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.14/0.46 start to proof:theBenchmark.p
% 0.26/0.54 % Version : CSI_E---1.1
% 0.26/0.54 % Problem : theBenchmark.p
% 0.26/0.54 % Proof found!
% 0.26/0.54 # SZS status Unsatisfiable
% 0.26/0.54 % SZS output start Proof
% 0.26/0.54 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)).
% 0.26/0.54 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)).
% 0.26/0.54 cnf(cn_2, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_2)).
% 0.26/0.54 cnf(cn_3, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_3)).
% 0.26/0.54 cnf(prove_cn_65, negated_conjecture, (~is_a_theorem(implies(implies(not(x),not(implies(y,y))),x))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_65)).
% 0.26/0.54 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])).
% 0.26/0.54 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 0.26/0.54 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), cn_1).
% 0.26/0.54 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])).
% 0.26/0.54 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])).
% 0.26/0.54 cnf(c_0_10, axiom, (is_a_theorem(implies(implies(not(X1),X1),X1))), cn_2).
% 0.26/0.54 cnf(c_0_11, 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])).
% 0.26/0.54 cnf(c_0_12, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), cn_3).
% 0.26/0.54 cnf(c_0_13, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X2),X1))), inference(spm,[status(thm)],[c_0_11, c_0_8])).
% 0.26/0.54 cnf(c_0_14, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 0.26/0.54 cnf(c_0_15, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 0.26/0.54 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_9, c_0_15])).
% 0.26/0.54 cnf(c_0_17, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_16, c_0_12])).
% 0.26/0.54 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_13, c_0_17])).
% 0.26/0.54 cnf(c_0_19, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_9, c_0_18])).
% 0.26/0.54 cnf(c_0_20, negated_conjecture, (~is_a_theorem(implies(implies(not(x),not(implies(y,y))),x))), inference(fof_simplification,[status(thm)],[prove_cn_65])).
% 0.26/0.54 cnf(c_0_21, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_19, c_0_7])).
% 0.26/0.54 cnf(c_0_22, negated_conjecture, (~is_a_theorem(implies(implies(not(x),not(implies(y,y))),x))), c_0_20).
% 0.26/0.54 cnf(c_0_23, plain, (is_a_theorem(implies(implies(not(X1),X2),X1))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_11, c_0_21])).
% 0.26/0.54 cnf(c_0_24, negated_conjecture, (~is_a_theorem(implies(not(implies(y,y)),x))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.26/0.54 cnf(c_0_25, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.26/0.54 cnf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_14]), c_0_25])]), ['proof']).
% 0.26/0.54 % SZS output end Proof
% 0.26/0.54 % User time : 0.017 s
% 0.26/0.54 % System time : 0.003 s
% 0.26/0.54 % Total time : 0.020 s
% 0.26/0.54 % User time : 0.079 s
% 0.26/0.54 % System time : 0.011 s
% 0.26/0.54 % Total time : 0.090 s
% 0.26/0.54
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