%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL113-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n028.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 11:20:21 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL113-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.34 % Computer : n028.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 01:40:44 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 0.23/0.54 % Version : CSI_E---1.1
% 0.23/0.54 % Problem : theBenchmark.p
% 0.23/0.54 % Proof found!
% 0.23/0.54 # SZS status Unsatisfiable
% 0.23/0.54 % SZS output start Proof
% 0.23/0.54 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)).
% 0.23/0.54 cnf(mv_2, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_2)).
% 0.23/0.54 cnf(mv_3, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_3)).
% 0.23/0.54 cnf(mv_1, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_1)).
% 0.23/0.54 cnf(mv_5, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_5)).
% 0.23/0.54 cnf(prove_mv_33, negated_conjecture, (~is_a_theorem(implies(implies(not(a),b),implies(not(b),a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_mv_33)).
% 0.23/0.54 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.23/0.54 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_6).
% 0.23/0.54 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), mv_2).
% 0.23/0.54 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])).
% 0.23/0.54 cnf(c_0_10, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))), mv_3).
% 0.23/0.54 cnf(c_0_11, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), mv_1).
% 0.23/0.54 cnf(c_0_12, 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])).
% 0.23/0.54 cnf(c_0_13, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), mv_5).
% 0.23/0.54 cnf(c_0_14, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X2,X1),X1))), inference(spm,[status(thm)],[c_0_7, c_0_10])).
% 0.23/0.54 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_7, c_0_11])).
% 0.23/0.54 cnf(c_0_16, 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_12, c_0_13])).
% 0.23/0.54 cnf(c_0_17, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.23/0.54 cnf(c_0_18, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_16, c_0_11])).
% 0.23/0.54 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_12, c_0_17])).
% 0.23/0.54 cnf(c_0_20, plain, (is_a_theorem(implies(not(not(X1)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_16, c_0_18])).
% 0.23/0.54 cnf(c_0_21, plain, (is_a_theorem(implies(not(not(X1)),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.23/0.54 cnf(c_0_22, negated_conjecture, (~is_a_theorem(implies(implies(not(a),b),implies(not(b),a)))), inference(fof_simplification,[status(thm)],[prove_mv_33])).
% 0.23/0.54 cnf(c_0_23, 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_8])).
% 0.23/0.54 cnf(c_0_24, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_7, c_0_13])).
% 0.23/0.54 cnf(c_0_25, plain, (is_a_theorem(implies(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_21, c_0_18])).
% 0.23/0.54 cnf(c_0_26, negated_conjecture, (~is_a_theorem(implies(implies(not(a),b),implies(not(b),a)))), c_0_22).
% 0.23/0.54 cnf(c_0_27, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(X3,X1)))|~is_a_theorem(implies(X2,not(X3)))), inference(spm,[status(thm)],[c_0_16, c_0_23])).
% 0.23/0.54 cnf(c_0_28, plain, (is_a_theorem(implies(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.23/0.54 cnf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])]), ['proof']).
% 0.23/0.54 % SZS output end Proof
% 0.23/0.54 % User time : 0.050 s
% 0.23/0.54 % System time : 0.008 s
% 0.23/0.54 % Total time : 0.059 s
% 0.23/0.54 % User time : 0.239 s
% 0.23/0.54 % System time : 0.022 s
% 0.23/0.54 % Total time : 0.261 s
% 0.23/0.54
%------------------------------------------------------------------------------