%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n015.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 11:20:16 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.36 % Computer : n015.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 03:58:12 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.45 start to proof:theBenchmark.p
% 0.25/0.53 % Version : CSI_E---1.1
% 0.25/0.53 % Problem : theBenchmark.p
% 0.25/0.53 % Proof found!
% 0.25/0.53 # SZS status Unsatisfiable
% 0.25/0.53 % SZS output start Proof
% 0.25/0.53 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)).
% 0.25/0.53 cnf(cn_59, axiom, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X3,X2),implies(implies(X1,X3),X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_59)).
% 0.25/0.53 cnf(cn_37, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_37)).
% 0.25/0.53 cnf(cn_19, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_19)).
% 0.25/0.53 cnf(prove_cn_3, negated_conjecture, (~is_a_theorem(implies(a,implies(not(a),b)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_3)).
% 0.25/0.53 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])).
% 0.25/0.53 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 0.25/0.53 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X3,X2),implies(implies(X1,X3),X2))))), cn_59).
% 0.25/0.53 cnf(c_0_8, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))|~is_a_theorem(implies(not(X3),X2))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.25/0.53 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3)))), cn_37).
% 0.25/0.53 cnf(c_0_10, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(not(X1),X3))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 0.25/0.53 cnf(c_0_11, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(implies(X1,X3),X2))), inference(spm,[status(thm)],[c_0_6, c_0_9])).
% 0.25/0.53 cnf(c_0_12, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), cn_19).
% 0.25/0.53 cnf(c_0_13, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X2),X1))|~is_a_theorem(implies(X2,X3))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_6, c_0_10])).
% 0.25/0.53 cnf(c_0_14, plain, (is_a_theorem(implies(not(implies(X1,X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.25/0.53 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X4))|~is_a_theorem(implies(X4,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 0.25/0.53 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_15, c_0_12])).
% 0.25/0.53 cnf(c_0_17, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_16, c_0_12])).
% 0.25/0.53 cnf(c_0_18, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_11, c_0_17])).
% 0.25/0.53 cnf(c_0_19, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,implies(X1,X2)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_13, c_0_18])).
% 0.25/0.53 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 0.25/0.53 cnf(c_0_21, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_19, c_0_17])).
% 0.25/0.53 cnf(c_0_22, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_20, c_0_12])).
% 0.25/0.53 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,X1),X1))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_21, c_0_8])).
% 0.25/0.53 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))), inference(spm,[status(thm)],[c_0_20, c_0_22])).
% 0.25/0.53 cnf(c_0_25, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_23]), c_0_17])])).
% 0.25/0.53 cnf(c_0_26, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_19, c_0_24])).
% 0.25/0.53 cnf(c_0_27, negated_conjecture, (~is_a_theorem(implies(a,implies(not(a),b)))), inference(fof_simplification,[status(thm)],[prove_cn_3])).
% 0.25/0.53 cnf(c_0_28, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(implies(X1,X2)),X2))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 0.25/0.53 cnf(c_0_29, plain, (is_a_theorem(implies(not(implies(X1,X2)),implies(not(X1),X3)))), inference(spm,[status(thm)],[c_0_11, c_0_9])).
% 0.25/0.53 cnf(c_0_30, negated_conjecture, (~is_a_theorem(implies(a,implies(not(a),b)))), c_0_27).
% 0.25/0.53 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(not(X1),X2)))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 0.25/0.53 cnf(c_0_32, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])]), ['proof']).
% 0.25/0.53 % SZS output end Proof
% 0.25/0.53 % User time : 0.041 s
% 0.25/0.53 % System time : 0.004 s
% 0.25/0.53 % Total time : 0.045 s
% 0.25/0.53 % User time : 0.214 s
% 0.25/0.53 % System time : 0.017 s
% 0.25/0.53 % Total time : 0.232 s
% 0.25/0.53
%------------------------------------------------------------------------------