%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL077-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n005.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 11:20:17 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL077-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.36 % Computer : n005.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 : Sat Sep 5 05:43:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.22/0.48 start to proof:theBenchmark.p
% 0.22/0.54 % Version : CSI_E---1.1
% 0.22/0.54 % Problem : theBenchmark.p
% 0.22/0.54 % Proof found!
% 0.22/0.54 # SZS status Unsatisfiable
% 0.22/0.54 % SZS output start Proof
% 0.22/0.54 cnf(transitivity, axiom, (is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitivity)).
% 0.22/0.54 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 0.22/0.54 cnf(cn_49, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_49)).
% 0.22/0.54 cnf(cn_35, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_35)).
% 0.22/0.54 cnf(cn_18, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_18)).
% 0.22/0.54 cnf(prove_cn_39, negated_conjecture, (~is_a_theorem(implies(not(not(a)),a))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_39)).
% 0.22/0.54 cnf(c_0_6, plain, (is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))), inference(fof_simplification,[status(thm)],[transitivity])).
% 0.22/0.54 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.22/0.54 cnf(c_0_8, plain, (is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))), c_0_6).
% 0.22/0.54 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), cn_49).
% 0.22/0.54 cnf(c_0_10, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_7).
% 0.22/0.54 cnf(c_0_11, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), cn_35).
% 0.22/0.54 cnf(c_0_12, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(not(X3),not(X2))))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 0.22/0.54 cnf(c_0_13, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), cn_18).
% 0.22/0.54 cnf(c_0_14, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X1,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.22/0.54 cnf(c_0_15, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.22/0.54 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_10, c_0_14])).
% 0.22/0.54 cnf(c_0_17, plain, (is_a_theorem(implies(not(not(X1)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_12, c_0_15])).
% 0.22/0.54 cnf(c_0_18, negated_conjecture, (~is_a_theorem(implies(not(not(a)),a))), inference(fof_simplification,[status(thm)],[prove_cn_39])).
% 0.22/0.54 cnf(c_0_19, plain, (is_a_theorem(implies(not(not(X1)),X1))|~is_a_theorem(implies(not(not(X1)),X2))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.22/0.54 cnf(c_0_20, negated_conjecture, (~is_a_theorem(implies(not(not(a)),a))), c_0_18).
% 0.22/0.54 cnf(c_0_21, plain, (is_a_theorem(implies(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_19, c_0_13])).
% 0.22/0.54 cnf(c_0_22, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])]), ['proof']).
% 0.22/0.54 % SZS output end Proof
% 0.22/0.54 % User time : 0.011 s
% 0.22/0.54 % System time : 0.000 s
% 0.22/0.54 % Total time : 0.011 s
% 0.22/0.54 % User time : 0.028 s
% 0.22/0.54 % System time : 0.011 s
% 0.22/0.54 % Total time : 0.039 s
% 0.22/0.54
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