%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% 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 11:20:19 AM UTC 2026
% Result : Unsatisfiable 0.79s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 22:44:20 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 0.79/0.58 % Version : CSI_E---1.1
% 0.79/0.58 % Problem : theBenchmark.p
% 0.79/0.58 % Proof found!
% 0.79/0.58 # SZS status Unsatisfiable
% 0.79/0.58 % SZS output start Proof
% 0.79/0.58 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)).
% 0.79/0.58 cnf(ic_JLukasiewicz_5, axiom, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ic_JLukasiewicz_5)).
% 0.79/0.58 cnf(prove_ic_2, negated_conjecture, (~is_a_theorem(implies(a,implies(b,a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_ic_2)).
% 0.79/0.58 cnf(c_0_3, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.79/0.58 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 0.79/0.58 cnf(c_0_5, axiom, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1)))))), ic_JLukasiewicz_5).
% 0.79/0.58 cnf(c_0_6, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2))))|~is_a_theorem(implies(implies(X2,X5),implies(X4,X1)))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 0.79/0.58 cnf(c_0_7, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X5,implies(implies(X6,X3),implies(X3,X4)))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 0.79/0.58 cnf(c_0_8, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X4))))|~is_a_theorem(implies(implies(X5,implies(X6,X3)),implies(X3,X4)))), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 0.79/0.58 cnf(c_0_9, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(implies(X4,X5),implies(X5,X3))))))), inference(spm,[status(thm)],[c_0_8, c_0_7])).
% 0.79/0.58 cnf(c_0_10, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_9])).
% 0.79/0.58 cnf(c_0_11, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X5,X2))),implies(X6,implies(X7,implies(X4,implies(X5,X2))))))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.79/0.58 cnf(c_0_12, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_10, c_0_5])).
% 0.79/0.58 cnf(c_0_13, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),implies(implies(X5,X4),implies(X4,X6))),implies(X7,implies(X8,implies(implies(X5,X4),implies(X4,X6))))))), inference(spm,[status(thm)],[c_0_6, c_0_11])).
% 0.79/0.58 cnf(c_0_14, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,X3)),X4),implies(X5,implies(X3,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 0.79/0.58 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X5)))))|~is_a_theorem(implies(implies(X6,implies(X7,implies(X8,X4))),implies(implies(X3,X4),implies(X4,X5))))), inference(spm,[status(thm)],[c_0_4, c_0_13])).
% 0.79/0.58 cnf(c_0_16, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3))))))), inference(spm,[status(thm)],[c_0_8, c_0_14])).
% 0.79/0.58 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X4),implies(X4,implies(X5,X4))))))), inference(spm,[status(thm)],[c_0_15, c_0_5])).
% 0.79/0.58 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_16])).
% 0.79/0.58 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_17])).
% 0.79/0.58 cnf(c_0_20, plain, (is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_18, c_0_5])).
% 0.79/0.58 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_19, c_0_5])).
% 0.79/0.58 cnf(c_0_22, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X5,implies(X3,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_20])).
% 0.79/0.58 cnf(c_0_23, plain, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_21])).
% 0.79/0.58 cnf(c_0_24, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1))))))), inference(spm,[status(thm)],[c_0_6, c_0_22])).
% 0.79/0.58 cnf(c_0_25, plain, (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_23, c_0_5])).
% 0.79/0.58 cnf(c_0_26, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X5)))))|~is_a_theorem(implies(implies(X5,X6),implies(X3,implies(X4,X5))))), inference(spm,[status(thm)],[c_0_4, c_0_24])).
% 0.79/0.58 cnf(c_0_27, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2)))))), inference(spm,[status(thm)],[c_0_6, c_0_25])).
% 0.79/0.58 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 0.79/0.58 cnf(c_0_29, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_28])).
% 0.79/0.58 cnf(c_0_30, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_29, c_0_5])).
% 0.79/0.58 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_30])).
% 0.79/0.58 cnf(c_0_32, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_31, c_0_5])).
% 0.79/0.58 cnf(c_0_33, negated_conjecture, (~is_a_theorem(implies(a,implies(b,a)))), inference(fof_simplification,[status(thm)],[prove_ic_2])).
% 0.79/0.58 cnf(c_0_34, plain, (is_a_theorem(implies(X1,implies(X2,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_32])).
% 0.79/0.58 cnf(c_0_35, negated_conjecture, (~is_a_theorem(implies(a,implies(b,a)))), c_0_33).
% 0.79/0.58 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_34, c_0_5])).
% 0.79/0.58 cnf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])]), ['proof']).
% 0.79/0.58 % SZS output end Proof
% 0.79/0.58 % User time : 0.027 s
% 0.79/0.58 % System time : 0.005 s
% 0.79/0.58 % Total time : 0.032 s
% 0.79/0.58 % User time : 0.207 s
% 0.79/0.58 % System time : 0.019 s
% 0.79/0.58 % Total time : 0.226 s
% 0.79/0.58
%------------------------------------------------------------------------------