%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL899+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n028.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 11:21:54 AM UTC 2026
% Result : Theorem 0.24s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL899+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n028.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 6 01:04:30 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.24/0.46 start to proof:theBenchmark.p
% 0.24/0.54 % Version : CSI_E---1.1
% 0.24/0.54 % Problem : theBenchmark.p
% 0.24/0.54 % Proof found!
% 0.24/0.54 % SZS status Theorem for theBenchmark.p
% 0.24/0.54 % SZS output start Proof
% 0.24/0.54 fof(sos_03, axiom, ![X1]:('+'(X1,'0')=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_03)).
% 0.24/0.54 fof(sos_02, axiom, ![X1, X2]:('+'(X1,X2)='+'(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_02)).
% 0.24/0.54 fof(sos_06, axiom, ![X7, X8]:((('>='(X7,X8)&'>='(X8,X7))=>X7=X8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_06)).
% 0.24/0.54 fof(sos_08, axiom, ![X1]:('>='(X1,'0')), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_08)).
% 0.24/0.54 fof(sos_07, axiom, ![X9, X10, X11]:(('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_07)).
% 0.24/0.54 fof(sos_09, axiom, ![X12, X13, X14]:(('>='(X12,X13)=>'>='('+'(X12,X14),'+'(X13,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_09)).
% 0.24/0.54 fof(sos_12, axiom, ![X1]:('+'(X1,'1')='1'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_12)).
% 0.24/0.54 fof(sos_13, axiom, ![X1, X2]:('==>'('==>'(X1,X2),X2)='==>'('==>'(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_13)).
% 0.24/0.54 fof(goals_14, conjecture, ![X21]:('==>'('==>'(X21,'1'),'1')=X21), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals_14)).
% 0.24/0.54 fof(c_0_9, plain, ![X27]:('+'(X27,'0')=X27), inference(variable_rename,[status(thm)],[sos_03])).
% 0.24/0.54 fof(c_0_10, plain, ![X25, X26]:('+'(X25,X26)='+'(X26,X25)), inference(variable_rename,[status(thm)],[sos_02])).
% 0.24/0.54 fof(c_0_11, plain, ![X32, X33]:((~'>='(X32,X33)|~'>='(X33,X32)|X32=X33)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])).
% 0.24/0.54 fof(c_0_12, plain, ![X37]:('>='(X37,'0')), inference(variable_rename,[status(thm)],[sos_08])).
% 0.24/0.54 fof(c_0_13, plain, ![X34, X35, X36]:(((~'>='('+'(X34,X35),X36)|'>='(X35,'==>'(X34,X36)))&(~'>='(X35,'==>'(X34,X36))|'>='('+'(X34,X35),X36)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])).
% 0.24/0.54 fof(c_0_14, plain, ![X38, X39, X40]:((~'>='(X38,X39)|'>='('+'(X38,X40),'+'(X39,X40)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])).
% 0.24/0.54 cnf(c_0_15, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.54 cnf(c_0_16, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.24/0.54 fof(c_0_17, plain, ![X47]:('+'(X47,'1')='1'), inference(variable_rename,[status(thm)],[sos_12])).
% 0.24/0.54 cnf(c_0_18, plain, (X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.24/0.54 cnf(c_0_19, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.24/0.54 cnf(c_0_20, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.54 cnf(c_0_21, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.24/0.54 cnf(c_0_22, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.24/0.54 cnf(c_0_23, plain, ('+'(X1,'1')='1'), inference(split_conjunct,[status(thm)],[c_0_17])).
% 0.24/0.54 fof(c_0_24, plain, ![X48, X49]:('==>'('==>'(X48,X49),X49)='==>'('==>'(X49,X48),X48)), inference(variable_rename,[status(thm)],[sos_13])).
% 0.24/0.54 cnf(c_0_25, plain, ('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 0.24/0.54 cnf(c_0_26, plain, ('>='(X1,'==>'(X2,'0'))), inference(spm,[status(thm)],[c_0_20, c_0_19])).
% 0.24/0.54 fof(c_0_27, negated_conjecture, ~(![X21]:('==>'('==>'(X21,'1'),'1')=X21)), inference(assume_negation,[status(cth)],[goals_14])).
% 0.24/0.54 cnf(c_0_28, plain, ('>='('+'(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_19]), c_0_22])).
% 0.24/0.54 cnf(c_0_29, plain, ('+'('1',X1)='1'), inference(spm,[status(thm)],[c_0_23, c_0_16])).
% 0.24/0.54 cnf(c_0_30, plain, ('==>'('==>'(X1,X2),X2)='==>'('==>'(X2,X1),X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 0.24/0.54 cnf(c_0_31, plain, ('==>'(X1,'0')='0'), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 0.24/0.54 fof(c_0_32, negated_conjecture, '==>'('==>'(esk1_0,'1'),'1')!=esk1_0, inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])).
% 0.24/0.54 cnf(c_0_33, plain, ('>='('1',X1)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 0.24/0.54 cnf(c_0_34, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.54 cnf(c_0_35, plain, ('==>'('==>'('0',X1),X1)='0'), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 0.24/0.54 cnf(c_0_36, negated_conjecture, ('==>'('==>'(esk1_0,'1'),'1')!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_32])).
% 0.24/0.54 cnf(c_0_37, plain, ('>='(X1,'==>'('1',X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_29]), c_0_33])])).
% 0.24/0.54 cnf(c_0_38, plain, ('>='('+'('==>'('0',X1),X2),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_19])])).
% 0.24/0.54 cnf(c_0_39, negated_conjecture, ('==>'('==>'('1',esk1_0),esk1_0)!=esk1_0), inference(rw,[status(thm)],[c_0_36, c_0_30])).
% 0.24/0.54 cnf(c_0_40, plain, ('==>'('1',X1)='0'), inference(spm,[status(thm)],[c_0_25, c_0_37])).
% 0.24/0.54 cnf(c_0_41, plain, ('>='('==>'('0',X1),X1)), inference(spm,[status(thm)],[c_0_38, c_0_15])).
% 0.24/0.54 cnf(c_0_42, plain, ('>='(X1,'==>'(X2,X1))), inference(spm,[status(thm)],[c_0_20, c_0_28])).
% 0.24/0.54 cnf(c_0_43, negated_conjecture, ('==>'('0',esk1_0)!=esk1_0), inference(rw,[status(thm)],[c_0_39, c_0_40])).
% 0.24/0.54 cnf(c_0_44, plain, ('==>'('0',X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_41]), c_0_42])])).
% 0.24/0.54 cnf(c_0_45, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])]), ['proof']).
% 0.24/0.54 % SZS output end Proof
% 0.24/0.54 % User time : 0.007 s
% 0.24/0.54 % System time : 0.006 s
% 0.24/0.54 % Total time : 0.012 s
% 0.24/0.54 % User time : 0.034 s
% 0.24/0.54 % System time : 0.012 s
% 0.24/0.54 % Total time : 0.046 s
% 0.24/0.54
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