%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n007.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 11:21:04 AM UTC 2026
% Result : Theorem 0.28s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.05/0.33 % Computer : n007.cluster.edu
% 0.05/0.33 % Model : x86_64 x86_64
% 0.05/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.33 % Memory : 8046.5625MB
% 0.05/0.33 % OS : Linux 6.8.0-71-generic
% 0.05/0.33 % CPULimit : 300
% 0.05/0.33 % WCLimit : 300
% 0.05/0.33 % DateTime : Sat Sep 5 09:41:39 UTC 2026
% 0.05/0.34 % CPUTime :
% 0.28/0.50 start to proof:theBenchmark.p
% 0.28/0.59 % Version : CSI_E---1.1
% 0.28/0.59 % Problem : theBenchmark.p
% 0.28/0.59 % Proof found!
% 0.28/0.59 % SZS status Theorem for theBenchmark.p
% 0.28/0.59 % SZS output start Proof
% 0.28/0.59 fof(r2, axiom, (r2<=>![X4, X5]:is_a_theorem(implies(X5,or(X4,X5)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r2)).
% 0.28/0.59 fof(op_implies_or, axiom, (op_implies_or=>![X1, X2]:implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_implies_or)).
% 0.28/0.59 fof(implies_1, axiom, (implies_1<=>![X1, X2]:is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', implies_1)).
% 0.28/0.59 fof(hilbert_implies_1, conjecture, implies_1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', hilbert_implies_1)).
% 0.28/0.59 fof(principia_r2, axiom, r2, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_r2)).
% 0.28/0.59 fof(principia_op_implies_or, axiom, op_implies_or, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_op_implies_or)).
% 0.28/0.59 fof(c_0_6, plain, ![X162, X163]:((~r2|is_a_theorem(implies(X163,or(X162,X163))))&(~is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0)))|r2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r2])])])])).
% 0.28/0.59 fof(c_0_7, plain, ![X188, X189]:(~op_implies_or|implies(X188,X189)=or(not(X188),X189)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_or])])])).
% 0.28/0.59 fof(c_0_8, plain, ![X84, X85]:((~implies_1|is_a_theorem(implies(X84,implies(X85,X84))))&(~is_a_theorem(implies(esk7_0,implies(esk8_0,esk7_0)))|implies_1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[implies_1])])])])).
% 0.28/0.59 fof(c_0_9, negated_conjecture, ~implies_1, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[hilbert_implies_1])])).
% 0.28/0.59 cnf(c_0_10, plain, (is_a_theorem(implies(X1,or(X2,X1)))|~r2), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.28/0.59 cnf(c_0_11, plain, (r2), inference(split_conjunct,[status(thm)],[principia_r2])).
% 0.28/0.59 cnf(c_0_12, plain, (implies(X1,X2)=or(not(X1),X2)|~op_implies_or), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.28/0.59 cnf(c_0_13, plain, (op_implies_or), inference(split_conjunct,[status(thm)],[principia_op_implies_or])).
% 0.28/0.59 cnf(c_0_14, plain, (implies_1|~is_a_theorem(implies(esk7_0,implies(esk8_0,esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.28/0.59 cnf(c_0_15, negated_conjecture, (~implies_1), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.28/0.59 cnf(c_0_16, plain, (is_a_theorem(implies(X1,or(X2,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.28/0.59 cnf(c_0_17, plain, (or(not(X1),X2)=implies(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.28/0.59 cnf(c_0_18, plain, (~is_a_theorem(implies(esk7_0,implies(esk8_0,esk7_0)))), inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 0.28/0.59 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.28/0.59 cnf(c_0_20, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])]), ['proof']).
% 0.28/0.59 % SZS output end Proof
% 0.28/0.59 % User time : 0.062 s
% 0.28/0.59 % System time : 0.011 s
% 0.28/0.59 % Total time : 0.074 s
% 0.28/0.59
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