%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL067-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n016.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 10.99s 2.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL067-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 16:30:44 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.25/0.47 start to proof:theBenchmark.p
% 10.99/2.16 % Version : CSI_E---1.1
% 10.99/2.16 % Problem : theBenchmark.p
% 10.99/2.16 % Proof found!
% 10.99/2.16 # SZS status Unsatisfiable
% 10.99/2.16 % SZS output start Proof
% 10.99/2.16 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)).
% 10.99/2.16 cnf(cn_59, axiom, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X3,X2),implies(implies(X1,X3),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_59)).
% 10.99/2.16 cnf(cn_37, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_37)).
% 10.99/2.16 cnf(cn_19, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_19)).
% 10.99/2.16 cnf(prove_cn_1, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_1)).
% 10.99/2.16 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])).
% 10.99/2.16 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 10.99/2.16 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X3,X2),implies(implies(X1,X3),X2))))), cn_59).
% 10.99/2.16 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3)))), cn_37).
% 10.99/2.16 cnf(c_0_9, 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])).
% 10.99/2.16 cnf(c_0_10, 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_8])).
% 10.99/2.16 cnf(c_0_11, axiom, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), cn_19).
% 10.99/2.16 cnf(c_0_12, 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_9])).
% 10.99/2.16 cnf(c_0_13, plain, (is_a_theorem(implies(not(implies(X1,X2)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 10.99/2.16 cnf(c_0_14, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X4)))|~is_a_theorem(implies(X3,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 10.99/2.16 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_6, c_0_11])).
% 10.99/2.16 cnf(c_0_16, 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_6, c_0_14])).
% 10.99/2.16 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_15, c_0_11])).
% 10.99/2.16 cnf(c_0_18, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_16, c_0_11])).
% 10.99/2.16 cnf(c_0_19, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,not(X1))))|~is_a_theorem(implies(X2,implies(X3,not(X1))))), inference(spm,[status(thm)],[c_0_12, c_0_17])).
% 10.99/2.16 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_18, c_0_11])).
% 10.99/2.16 cnf(c_0_21, plain, (is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(implies(X3,implies(X1,not(X2))))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_6, c_0_19])).
% 10.99/2.16 cnf(c_0_22, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_10, c_0_20])).
% 10.99/2.16 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,X2),not(X1)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_12, c_0_20])).
% 10.99/2.16 cnf(c_0_24, plain, (is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 10.99/2.16 cnf(c_0_25, plain, (is_a_theorem(implies(not(not(X1)),implies(implies(X2,X3),implies(implies(X1,X2),X3))))), inference(spm,[status(thm)],[c_0_10, c_0_7])).
% 10.99/2.16 cnf(c_0_26, plain, (is_a_theorem(not(X1))|~is_a_theorem(implies(X2,not(X1)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_6, c_0_23])).
% 10.99/2.16 cnf(c_0_27, plain, (is_a_theorem(implies(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_24, c_0_20])).
% 10.99/2.16 cnf(c_0_28, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))|~is_a_theorem(not(not(X3)))), inference(spm,[status(thm)],[c_0_6, c_0_25])).
% 10.99/2.16 cnf(c_0_29, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 10.99/2.16 cnf(c_0_30, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(not(not(X1)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_6, c_0_28])).
% 10.99/2.16 cnf(c_0_31, plain, (is_a_theorem(not(not(implies(X1,X1))))), inference(spm,[status(thm)],[c_0_29, c_0_13])).
% 10.99/2.16 cnf(c_0_32, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X3))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 10.99/2.16 cnf(c_0_33, plain, (is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_10, c_0_17])).
% 10.99/2.16 cnf(c_0_34, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))), inference(spm,[status(thm)],[c_0_15, c_0_17])).
% 10.99/2.16 cnf(c_0_35, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X3))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_6, c_0_32])).
% 10.99/2.16 cnf(c_0_36, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_18, c_0_14])).
% 10.99/2.16 cnf(c_0_37, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))|~is_a_theorem(implies(X2,implies(X3,implies(X1,X4))))), inference(spm,[status(thm)],[c_0_12, c_0_33])).
% 10.99/2.16 cnf(c_0_38, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))), inference(spm,[status(thm)],[c_0_15, c_0_34])).
% 10.99/2.16 cnf(c_0_39, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), inference(fof_simplification,[status(thm)],[prove_cn_1])).
% 10.99/2.16 cnf(c_0_40, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(spm,[status(thm)],[c_0_35, c_0_20])).
% 10.99/2.16 cnf(c_0_41, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,implies(implies(X1,X2),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 10.99/2.16 cnf(c_0_42, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X1))))))), inference(spm,[status(thm)],[c_0_15, c_0_38])).
% 10.99/2.16 cnf(c_0_43, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))), c_0_39).
% 10.99/2.16 cnf(c_0_44, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,implies(X2,X3))))), inference(spm,[status(thm)],[c_0_40, c_0_37])).
% 10.99/2.16 cnf(c_0_45, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 10.99/2.16 cnf(c_0_46, negated_conjecture, (~is_a_theorem(implies(b,implies(implies(b,c),implies(a,c))))), inference(spm,[status(thm)],[c_0_43, c_0_37])).
% 10.99/2.16 cnf(c_0_47, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 10.99/2.16 cnf(c_0_48, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])]), ['proof']).
% 10.99/2.16 % SZS output end Proof
% 10.99/2.16 % User time : 1.579 s
% 10.99/2.16 % System time : 0.066 s
% 10.99/2.16 % Total time : 1.645 s
% 10.99/2.16 % User time : 7.788 s
% 10.99/2.16 % System time : 0.183 s
% 10.99/2.16 % Total time : 7.971 s
% 10.99/2.16
%------------------------------------------------------------------------------