%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL116-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n012.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 11:20:22 AM UTC 2026
% Result : Unsatisfiable 250.40s 36.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL116-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.01 % Command : java -jar mcs_scs.jar %d %s
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sat Sep 5 04:01:57 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.08/0.35 start to proof:theBenchmark.p
% 250.40/36.52 % Version : CSI_E---1.1
% 250.40/36.52 % Problem : theBenchmark.p
% 250.40/36.52 % Proof found!
% 250.40/36.52 # SZS status Unsatisfiable
% 250.40/36.52 % SZS output start Proof
% 250.40/36.52 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)).
% 250.40/36.52 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)).
% 250.40/36.52 cnf(mv_1, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mv_1)).
% 250.40/36.52 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)).
% 250.40/36.52 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)).
% 250.40/36.52 cnf(prove_mv_50, negated_conjecture, (~is_a_theorem(implies(not(a),implies(b,not(implies(b,a)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_mv_50)).
% 250.40/36.52 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])).
% 250.40/36.52 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_6).
% 250.40/36.52 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), mv_2).
% 250.40/36.52 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])).
% 250.40/36.52 cnf(c_0_10, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), mv_1).
% 250.40/36.52 cnf(c_0_11, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 250.40/36.52 cnf(c_0_12, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_7, c_0_11])).
% 250.40/36.52 cnf(c_0_13, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))), mv_3).
% 250.40/36.52 cnf(c_0_14, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 250.40/36.52 cnf(c_0_15, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_9, c_0_14])).
% 250.40/36.52 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_7, c_0_15])).
% 250.40/36.52 cnf(c_0_17, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), mv_5).
% 250.40/36.52 cnf(c_0_18, 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_13])).
% 250.40/36.52 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_16, c_0_11])).
% 250.40/36.52 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_7, c_0_10])).
% 250.40/36.52 cnf(c_0_21, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_12, c_0_17])).
% 250.40/36.52 cnf(c_0_22, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 250.40/36.52 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(not(X2),not(X1)),X3)))), inference(spm,[status(thm)],[c_0_9, c_0_17])).
% 250.40/36.52 cnf(c_0_24, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_9, c_0_20])).
% 250.40/36.52 cnf(c_0_25, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3)))), inference(spm,[status(thm)],[c_0_9, c_0_21])).
% 250.40/36.52 cnf(c_0_26, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(spm,[status(thm)],[c_0_7, c_0_22])).
% 250.40/36.52 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),not(X1)),X2)))), inference(spm,[status(thm)],[c_0_16, c_0_23])).
% 250.40/36.52 cnf(c_0_28, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_7, c_0_24])).
% 250.40/36.52 cnf(c_0_29, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(implies(X1,X3),X2))), inference(spm,[status(thm)],[c_0_7, c_0_25])).
% 250.40/36.52 cnf(c_0_30, plain, (is_a_theorem(implies(implies(not(X1),not(implies(X2,X2))),X1))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 250.40/36.52 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(not(X3),not(X2)))), inference(spm,[status(thm)],[c_0_28, c_0_17])).
% 250.40/36.52 cnf(c_0_32, plain, (is_a_theorem(implies(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 250.40/36.52 cnf(c_0_33, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_18, c_0_20])).
% 250.40/36.52 cnf(c_0_34, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4)))), inference(spm,[status(thm)],[c_0_9, c_0_8])).
% 250.40/36.52 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(X2,not(not(X2)))))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 250.40/36.52 cnf(c_0_36, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_9, c_0_33])).
% 250.40/36.52 cnf(c_0_37, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))), inference(spm,[status(thm)],[c_0_7, c_0_34])).
% 250.40/36.52 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(not(X1)),X2)))), inference(spm,[status(thm)],[c_0_9, c_0_32])).
% 250.40/36.52 cnf(c_0_39, plain, (is_a_theorem(implies(implies(implies(X1,not(not(X1))),X2),X2))), inference(spm,[status(thm)],[c_0_18, c_0_35])).
% 250.40/36.52 cnf(c_0_40, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(X2,X3))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_7, c_0_36])).
% 250.40/36.52 cnf(c_0_41, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_37, c_0_15])).
% 250.40/36.52 cnf(c_0_42, plain, (is_a_theorem(implies(not(not(X1)),X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_7, c_0_38])).
% 250.40/36.52 cnf(c_0_43, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,not(not(X2)))))), inference(spm,[status(thm)],[c_0_37, c_0_39])).
% 250.40/36.52 cnf(c_0_44, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),not(X3))),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_40, c_0_17])).
% 250.40/36.52 cnf(c_0_45, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_7, c_0_41])).
% 250.40/36.52 cnf(c_0_46, plain, (is_a_theorem(implies(not(not(implies(X1,X2))),implies(X1,not(not(X2)))))), inference(spm,[status(thm)],[c_0_42, c_0_43])).
% 250.40/36.52 cnf(c_0_47, 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_16, c_0_44])).
% 250.40/36.52 cnf(c_0_48, plain, (is_a_theorem(implies(X1,implies(not(not(implies(X1,X2))),not(not(X2)))))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 250.40/36.52 cnf(c_0_49, negated_conjecture, (~is_a_theorem(implies(not(a),implies(b,not(implies(b,a)))))), inference(fof_simplification,[status(thm)],[prove_mv_50])).
% 250.40/36.52 cnf(c_0_50, plain, (is_a_theorem(implies(X1,implies(not(X2),not(implies(X1,X2)))))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 250.40/36.52 cnf(c_0_51, negated_conjecture, (~is_a_theorem(implies(not(a),implies(b,not(implies(b,a)))))), c_0_49).
% 250.40/36.52 cnf(c_0_52, plain, (is_a_theorem(implies(not(X1),implies(X2,not(implies(X2,X1)))))), inference(spm,[status(thm)],[c_0_45, c_0_50])).
% 250.40/36.52 cnf(c_0_53, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])]), ['proof']).
% 250.40/36.52 % SZS output end Proof
% 250.40/36.52 % User time : 34.650 s
% 250.40/36.52 % System time : 1.028 s
% 250.40/36.52 % Total time : 35.678 s
% 250.40/36.52 % User time : 34.652 s
% 250.40/36.52 % System time : 1.030 s
% 250.40/36.52 % Total time : 35.682 s
% 250.40/36.52
%------------------------------------------------------------------------------