%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% 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 11:21:54 AM UTC 2026
% Result : Theorem 0.51s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 6 01:03:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.23/0.50 start to proof:theBenchmark.p
% 0.51/0.57 % Version : CSI_E---1.1
% 0.51/0.57 % Problem : theBenchmark.p
% 0.51/0.57 % Proof found!
% 0.51/0.57 % SZS status Theorem for theBenchmark.p
% 0.51/0.57 % SZS output start Proof
% 0.51/0.57 fof(sos_12, axiom, ![X1]:('+'(X1,'1')='1'), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_12)).
% 0.51/0.57 fof(sos_02, axiom, ![X1, X2]:('+'(X1,X2)='+'(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_02)).
% 0.51/0.57 fof(sos_07, axiom, ![X9, X10, X11]:(('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_07)).
% 0.51/0.57 fof(sos_06, axiom, ![X7, X8]:((('>='(X7,X8)&'>='(X8,X7))=>X7=X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_06)).
% 0.51/0.57 fof(sos_08, axiom, ![X1]:('>='(X1,'0')), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_08)).
% 0.51/0.57 fof(sos_04, axiom, ![X1]:('>='(X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_04)).
% 0.51/0.57 fof(sos_03, axiom, ![X1]:('+'(X1,'0')=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_03)).
% 0.51/0.57 fof(sos_09, axiom, ![X12, X13, X14]:(('>='(X12,X13)=>'>='('+'(X12,X14),'+'(X13,X14)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_09)).
% 0.51/0.57 fof(sos_13, axiom, ![X1]:('==>'('==>'('==>'(X1,'1'),X1),X1)='0'), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_13)).
% 0.51/0.57 fof(sos_11, axiom, ![X18, X19, X20]:(('>='(X18,X19)=>'>='('==>'(X20,X18),'==>'(X20,X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_11)).
% 0.51/0.57 fof(goals_14, conjecture, ![X21]:('==>'('==>'(X21,'1'),'1')=X21), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals_14)).
% 0.51/0.57 fof(c_0_11, plain, ![X33]:('+'(X33,'1')='1'), inference(variable_rename,[status(thm)],[sos_12])).
% 0.51/0.57 fof(c_0_12, plain, ![X47, X48]:('+'(X47,X48)='+'(X48,X47)), inference(variable_rename,[status(thm)],[sos_02])).
% 0.51/0.57 fof(c_0_13, plain, ![X23, X24, X25]:(((~'>='('+'(X23,X24),X25)|'>='(X24,'==>'(X23,X25)))&(~'>='(X24,'==>'(X23,X25))|'>='('+'(X23,X24),X25)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])).
% 0.51/0.57 cnf(c_0_14, plain, ('+'(X1,'1')='1'), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.51/0.57 cnf(c_0_15, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.51/0.57 fof(c_0_16, plain, ![X38, X39]:((~'>='(X38,X39)|~'>='(X39,X38)|X38=X39)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])).
% 0.51/0.57 fof(c_0_17, plain, ![X40]:('>='(X40,'0')), inference(variable_rename,[status(thm)],[sos_08])).
% 0.51/0.57 cnf(c_0_18, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.51/0.57 cnf(c_0_19, plain, ('+'('1',X1)='1'), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.51/0.57 fof(c_0_20, plain, ![X34]:('>='(X34,X34)), inference(variable_rename,[status(thm)],[sos_04])).
% 0.51/0.57 fof(c_0_21, plain, ![X49]:('+'(X49,'0')=X49), inference(variable_rename,[status(thm)],[sos_03])).
% 0.51/0.57 cnf(c_0_22, plain, (X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
% 0.51/0.57 cnf(c_0_23, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_17])).
% 0.51/0.57 cnf(c_0_24, plain, ('>='(X1,'==>'('1',X2))|~'>='('1',X2)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 0.51/0.57 cnf(c_0_25, plain, ('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
% 0.51/0.57 cnf(c_0_26, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_21])).
% 0.51/0.57 cnf(c_0_27, plain, ('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.51/0.57 cnf(c_0_28, plain, ('>='(X1,'==>'('1','1'))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.51/0.57 fof(c_0_29, plain, ![X41, X42, X43]:((~'>='(X41,X42)|'>='('+'(X41,X43),'+'(X42,X43)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])).
% 0.51/0.57 cnf(c_0_30, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_26, c_0_15])).
% 0.51/0.57 cnf(c_0_31, plain, ('0'='==>'('1','1')), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.51/0.57 cnf(c_0_32, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
% 0.51/0.57 cnf(c_0_33, plain, ('+'('==>'('1','1'),X1)=X1), inference(rw,[status(thm)],[c_0_30, c_0_31])).
% 0.51/0.57 cnf(c_0_34, plain, ('>='(X1,'==>'(X2,X3))|~'>='('+'(X1,X2),X3)), inference(spm,[status(thm)],[c_0_18, c_0_15])).
% 0.51/0.57 cnf(c_0_35, plain, ('>='('+'(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_28]), c_0_33])).
% 0.51/0.57 cnf(c_0_36, plain, ('>='(X1,'==>'(X2,X2))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 0.51/0.57 fof(c_0_37, plain, ![X32]:('==>'('==>'('==>'(X32,'1'),X32),X32)='0'), inference(variable_rename,[status(thm)],[sos_13])).
% 0.51/0.57 cnf(c_0_38, plain, ('==>'(X1,X1)=X2|~'>='('==>'(X1,X1),X2)), inference(spm,[status(thm)],[c_0_22, c_0_36])).
% 0.51/0.57 fof(c_0_39, plain, ![X29, X30, X31]:((~'>='(X29,X30)|'>='('==>'(X31,X29),'==>'(X31,X30)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])).
% 0.51/0.57 cnf(c_0_40, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.51/0.57 cnf(c_0_41, plain, ('==>'('==>'('==>'(X1,'1'),X1),X1)='0'), inference(split_conjunct,[status(thm)],[c_0_37])).
% 0.51/0.57 cnf(c_0_42, plain, ('+'(X1,'==>'('1','1'))=X1), inference(rw,[status(thm)],[c_0_26, c_0_31])).
% 0.51/0.57 cnf(c_0_43, plain, ('==>'(X1,X1)='==>'(X2,X2)), inference(spm,[status(thm)],[c_0_38, c_0_36])).
% 0.51/0.57 cnf(c_0_44, plain, ('>='('==>'(X3,X1),'==>'(X3,X2))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
% 0.51/0.57 cnf(c_0_45, plain, ('>='('1',X1)), inference(spm,[status(thm)],[c_0_35, c_0_19])).
% 0.51/0.57 cnf(c_0_46, plain, ('>='('+'(X1,'==>'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_40, c_0_25])).
% 0.51/0.57 cnf(c_0_47, plain, ('==>'('==>'('==>'(X1,'1'),X1),X1)='==>'('1','1')), inference(rw,[status(thm)],[c_0_41, c_0_31])).
% 0.51/0.57 cnf(c_0_48, plain, ('+'(X1,'==>'(X2,X2))=X1), inference(spm,[status(thm)],[c_0_42, c_0_43])).
% 0.51/0.57 cnf(c_0_49, plain, ('>='('==>'(X1,'1'),'==>'(X1,X2))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 0.51/0.57 cnf(c_0_50, plain, ('>='('==>'('==>'(X1,'1'),X1),X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])).
% 0.51/0.57 cnf(c_0_51, plain, ('>='(X1,'==>'(X2,X1))), inference(spm,[status(thm)],[c_0_18, c_0_35])).
% 0.51/0.57 cnf(c_0_52, plain, (X1='1'|~'>='(X1,'1')), inference(spm,[status(thm)],[c_0_22, c_0_45])).
% 0.51/0.57 cnf(c_0_53, plain, ('>='('+'(X1,'==>'(X1,'1')),X2)), inference(spm,[status(thm)],[c_0_40, c_0_49])).
% 0.51/0.57 fof(c_0_54, negated_conjecture, ~(![X21]:('==>'('==>'(X21,'1'),'1')=X21)), inference(assume_negation,[status(cth)],[goals_14])).
% 0.51/0.57 cnf(c_0_55, plain, ('==>'('==>'(X1,'1'),X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_50]), c_0_51])])).
% 0.51/0.57 cnf(c_0_56, plain, ('+'(X1,'==>'(X1,'1'))='1'), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 0.51/0.57 fof(c_0_57, 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_54])])])])).
% 0.51/0.57 cnf(c_0_58, plain, ('>='('==>'('==>'(X1,'1'),'1'),X1)), inference(spm,[status(thm)],[c_0_49, c_0_55])).
% 0.51/0.57 cnf(c_0_59, plain, ('>='(X1,'==>'('==>'(X1,'1'),X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_56]), c_0_45])])).
% 0.51/0.57 cnf(c_0_60, negated_conjecture, ('==>'('==>'(esk1_0,'1'),'1')!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.51/0.57 cnf(c_0_61, plain, ('==>'('==>'(X1,'1'),'1')=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_58]), c_0_59])])).
% 0.51/0.57 cnf(c_0_62, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])]), ['proof']).
% 0.51/0.57 % SZS output end Proof
% 0.51/0.57 % User time : 0.012 s
% 0.51/0.57 % System time : 0.003 s
% 0.51/0.57 % Total time : 0.015 s
% 0.51/0.57 % User time : 0.012 s
% 0.51/0.57 % System time : 0.006 s
% 0.51/0.57 % Total time : 0.018 s
% 0.51/0.57
%------------------------------------------------------------------------------