%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL529+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 : LCL529+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n031.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sat Sep 5 15:36:10 UTC 2026
% 0.06/0.34 % 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/sandbox/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/sandbox/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 0.23/0.54 fof(axiom_m2, axiom, (axiom_m2<=>![X1, X2]:is_a_theorem(strict_implies(and(X1,X2),X1))), file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax', axiom_m2)).
% 0.23/0.54 fof(s1_0_axiom_m2, conjecture, axiom_m2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_axiom_m2)).
% 0.23/0.54 fof(km5_necessitation, axiom, necessitation, file('/export/starexec/sandbox/benchmark/Axioms/LCL007+2.ax', km5_necessitation)).
% 0.23/0.54 fof(s1_0_op_strict_implies, axiom, op_strict_implies, file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 0.23/0.54 fof(and_1, axiom, (and_1<=>![X1, X2]:is_a_theorem(implies(and(X1,X2),X1))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', and_1)).
% 0.23/0.54 fof(hilbert_and_1, axiom, and_1, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_and_1)).
% 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, ![X283, X284]:((~axiom_m2|is_a_theorem(strict_implies(and(X283,X284),X283)))&(~is_a_theorem(strict_implies(and(esk79_0,esk80_0),esk79_0))|axiom_m2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_m2])])])])).
% 0.23/0.54 fof(c_0_11, negated_conjecture, ~axiom_m2, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[s1_0_axiom_m2])])).
% 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_m2|~is_a_theorem(strict_implies(and(esk79_0,esk80_0),esk79_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.23/0.54 cnf(c_0_17, negated_conjecture, (~axiom_m2), 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, ![X143, X144]:((~and_1|is_a_theorem(implies(and(X143,X144),X143)))&(~is_a_theorem(implies(and(esk14_0,esk15_0),esk14_0))|and_1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[and_1])])])])).
% 0.23/0.54 cnf(c_0_21, plain, (~is_a_theorem(strict_implies(and(esk79_0,esk80_0),esk79_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(and(X1,X2),X1))|~and_1), inference(split_conjunct,[status(thm)],[c_0_20])).
% 0.23/0.54 cnf(c_0_24, plain, (and_1), inference(split_conjunct,[status(thm)],[hilbert_and_1])).
% 0.23/0.54 cnf(c_0_25, plain, (~is_a_theorem(implies(and(esk79_0,esk80_0),esk79_0))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.23/0.54 cnf(c_0_26, plain, (is_a_theorem(implies(and(X1,X2),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 : 0.049 s
% 0.23/0.54 % System time : 0.004 s
% 0.23/0.54 % Total time : 0.053 s
% 0.23/0.54
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