%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n010.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 11:20:17 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 23:08:23 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.42 start to proof:theBenchmark.p
% 0.24/0.48 % Version : CSI_E---1.1
% 0.24/0.48 % Problem : theBenchmark.p
% 0.24/0.48 % Proof found!
% 0.24/0.48 # SZS status Unsatisfiable
% 0.24/0.48 % SZS output start Proof
% 0.24/0.48 cnf(transitivity, axiom, (is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitivity)).
% 0.24/0.48 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)).
% 0.24/0.48 cnf(cn_49, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_49)).
% 0.24/0.48 cnf(cn_35, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_35)).
% 0.24/0.48 cnf(cn_18, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_18)).
% 0.24/0.48 cnf(prove_cn_40, negated_conjecture, (~is_a_theorem(implies(a,not(not(a))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_40)).
% 0.24/0.48 cnf(c_0_6, plain, (is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))), inference(fof_simplification,[status(thm)],[transitivity])).
% 0.24/0.48 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.24/0.48 cnf(c_0_8, plain, (is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))), c_0_6).
% 0.24/0.48 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), cn_49).
% 0.24/0.48 cnf(c_0_10, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_7).
% 0.24/0.48 cnf(c_0_11, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), cn_35).
% 0.24/0.48 cnf(c_0_12, 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_8, c_0_9])).
% 0.24/0.48 cnf(c_0_13, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), cn_18).
% 0.24/0.48 cnf(c_0_14, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X1,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.24/0.48 cnf(c_0_15, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.24/0.48 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_10, c_0_14])).
% 0.24/0.48 cnf(c_0_17, plain, (is_a_theorem(implies(not(not(X1)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_12, c_0_15])).
% 0.24/0.48 cnf(c_0_18, plain, (is_a_theorem(implies(not(not(X1)),X1))|~is_a_theorem(implies(not(not(X1)),X2))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.24/0.48 cnf(c_0_19, negated_conjecture, (~is_a_theorem(implies(a,not(not(a))))), inference(fof_simplification,[status(thm)],[prove_cn_40])).
% 0.24/0.48 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_10, c_0_9])).
% 0.24/0.48 cnf(c_0_21, plain, (is_a_theorem(implies(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_18, c_0_13])).
% 0.24/0.48 cnf(c_0_22, negated_conjecture, (~is_a_theorem(implies(a,not(not(a))))), c_0_19).
% 0.24/0.48 cnf(c_0_23, plain, (is_a_theorem(implies(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 0.24/0.48 cnf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])]), ['proof']).
% 0.24/0.48 % SZS output end Proof
% 0.24/0.48 % User time : 0.014 s
% 0.24/0.48 % System time : 0.004 s
% 0.24/0.48 % Total time : 0.018 s
% 0.24/0.48 % User time : 0.049 s
% 0.24/0.48 % System time : 0.015 s
% 0.24/0.48 % Total time : 0.064 s
% 0.24/0.48
%------------------------------------------------------------------------------