%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL536+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n005.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 11:21:08 AM UTC 2026
% Result : Theorem 0.23s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL536+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n005.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 : Sat Sep 5 02:50:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 0.23/0.54 % Version : CSI_E---1.1
% 0.23/0.54 % Problem : theBenchmark.p
% 0.23/0.54 % Proof found!
% 0.23/0.54 % SZS status Theorem for theBenchmark.p
% 0.23/0.54 % SZS output start Proof
% 0.23/0.54 fof(necessitation, axiom, (necessitation<=>![X1]:(is_a_theorem(X1)=>is_a_theorem(necessarily(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', necessitation)).
% 0.23/0.54 fof(op_strict_implies, axiom, (op_strict_implies=>![X1, X2]:strict_implies(X1,X2)=necessarily(implies(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 0.23/0.54 fof(axiom_m10, axiom, (axiom_m10<=>![X1]:is_a_theorem(strict_implies(possibly(X1),necessarily(possibly(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', axiom_m10)).
% 0.23/0.54 fof(s1_0_m10_axiom_m10, conjecture, axiom_m10, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_m10_axiom_m10)).
% 0.23/0.54 fof(km5_necessitation, axiom, necessitation, file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+2.ax', km5_necessitation)).
% 0.23/0.54 fof(s1_0_op_strict_implies, axiom, op_strict_implies, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 0.23/0.54 fof(axiom_5, axiom, (axiom_5<=>![X1]:is_a_theorem(implies(possibly(X1),necessarily(possibly(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax', axiom_5)).
% 0.23/0.54 fof(km5_axiom_5, axiom, axiom_5, file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+2.ax', km5_axiom_5)).
% 0.23/0.54 fof(c_0_8, plain, ![X237]:((~necessitation|(~is_a_theorem(X237)|is_a_theorem(necessarily(X237))))&((is_a_theorem(esk56_0)|necessitation)&(~is_a_theorem(necessarily(esk56_0))|necessitation))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[necessitation])])])])])).
% 0.23/0.54 fof(c_0_9, plain, ![X317, X318]:(~op_strict_implies|strict_implies(X317,X318)=necessarily(implies(X317,X318))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_strict_implies])])])).
% 0.23/0.54 fof(c_0_10, plain, ![X313]:((~axiom_m10|is_a_theorem(strict_implies(possibly(X313),necessarily(possibly(X313)))))&(~is_a_theorem(strict_implies(possibly(esk94_0),necessarily(possibly(esk94_0))))|axiom_m10)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_m10])])])])).
% 0.23/0.54 fof(c_0_11, negated_conjecture, ~axiom_m10, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[s1_0_m10_axiom_m10])])).
% 0.23/0.54 cnf(c_0_12, plain, (is_a_theorem(necessarily(X1))|~necessitation|~is_a_theorem(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.23/0.54 cnf(c_0_13, plain, (necessitation), inference(split_conjunct,[status(thm)],[km5_necessitation])).
% 0.23/0.54 cnf(c_0_14, plain, (strict_implies(X1,X2)=necessarily(implies(X1,X2))|~op_strict_implies), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.23/0.54 cnf(c_0_15, plain, (op_strict_implies), inference(split_conjunct,[status(thm)],[s1_0_op_strict_implies])).
% 0.23/0.54 cnf(c_0_16, plain, (axiom_m10|~is_a_theorem(strict_implies(possibly(esk94_0),necessarily(possibly(esk94_0))))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.23/0.54 cnf(c_0_17, negated_conjecture, (~axiom_m10), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.23/0.54 cnf(c_0_18, plain, (is_a_theorem(necessarily(X1))|~is_a_theorem(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.23/0.54 cnf(c_0_19, plain, (necessarily(implies(X1,X2))=strict_implies(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 0.23/0.54 fof(c_0_20, plain, ![X261]:((~axiom_5|is_a_theorem(implies(possibly(X261),necessarily(possibly(X261)))))&(~is_a_theorem(implies(possibly(esk68_0),necessarily(possibly(esk68_0))))|axiom_5)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])])).
% 0.23/0.54 cnf(c_0_21, plain, (~is_a_theorem(strict_implies(possibly(esk94_0),necessarily(possibly(esk94_0))))), inference(sr,[status(thm)],[c_0_16, c_0_17])).
% 0.23/0.54 cnf(c_0_22, plain, (is_a_theorem(strict_implies(X1,X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 0.23/0.54 cnf(c_0_23, plain, (is_a_theorem(implies(possibly(X1),necessarily(possibly(X1))))|~axiom_5), inference(split_conjunct,[status(thm)],[c_0_20])).
% 0.23/0.54 cnf(c_0_24, plain, (axiom_5), inference(split_conjunct,[status(thm)],[km5_axiom_5])).
% 0.23/0.54 cnf(c_0_25, plain, (~is_a_theorem(implies(possibly(esk94_0),necessarily(possibly(esk94_0))))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.23/0.54 cnf(c_0_26, plain, (is_a_theorem(implies(possibly(X1),necessarily(possibly(X1))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 0.23/0.54 cnf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])]), ['proof']).
% 0.23/0.54 % SZS output end Proof
% 0.23/0.54 % User time : 0.048 s
% 0.23/0.54 % System time : 0.007 s
% 0.23/0.54 % Total time : 0.054 s
% 0.23/0.54
%------------------------------------------------------------------------------