%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n013.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 0.50s 0.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : java -jar mcs_scs.jar %d %s
% 0.15/0.42 % Computer : n013.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 5 13:48:50 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark.p
% 0.50/0.77 % Version : CSI_E---1.1
% 0.50/0.77 % Problem : theBenchmark.p
% 0.50/0.77 % Proof found!
% 0.50/0.77 % SZS status Theorem for theBenchmark.p
% 0.50/0.77 % SZS output start Proof
% 0.50/0.77 fof(sos_07, axiom, ![X9, X10, X11]:(('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_07)).
% 0.50/0.77 fof(sos_04, axiom, ![X1]:('>='(X1,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_04)).
% 0.50/0.77 fof(sos_03, axiom, ![X1]:('+'(X1,'0')=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_03)).
% 0.50/0.77 fof(sos_02, axiom, ![X1, X2]:('+'(X1,X2)='+'(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_02)).
% 0.50/0.77 fof(sos_06, axiom, ![X7, X8]:((('>='(X7,X8)&'>='(X8,X7))=>X7=X8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_06)).
% 0.50/0.77 fof(sos_10, axiom, ![X15, X16, X17]:(('>='(X15,X16)=>'>='('==>'(X16,X17),'==>'(X15,X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_10)).
% 0.50/0.77 fof(sos_08, axiom, ![X1]:('>='(X1,'0')), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_08)).
% 0.50/0.77 fof(sos_13, axiom, ![X1]:('==>'('==>'('==>'(X1,'1'),X1),X1)='0'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_13)).
% 0.50/0.77 fof(sos_09, axiom, ![X12, X13, X14]:(('>='(X12,X13)=>'>='('+'(X12,X14),'+'(X13,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_09)).
% 0.50/0.77 fof(sos_12, axiom, ![X1]:('+'(X1,'1')='1'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_12)).
% 0.50/0.77 fof(sos_11, axiom, ![X18, X19, X20]:(('>='(X18,X19)=>'>='('==>'(X20,X18),'==>'(X20,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_11)).
% 0.50/0.77 fof(goals_14, conjecture, ![X21]:('+'(X21,X21)=X21), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals_14)).
% 0.50/0.77 fof(c_0_12, 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])])])).
% 0.50/0.77 fof(c_0_13, plain, ![X28]:('>='(X28,X28)), inference(variable_rename,[status(thm)],[sos_04])).
% 0.50/0.77 fof(c_0_14, plain, ![X27]:('+'(X27,'0')=X27), inference(variable_rename,[status(thm)],[sos_03])).
% 0.50/0.77 fof(c_0_15, plain, ![X25, X26]:('+'(X25,X26)='+'(X26,X25)), inference(variable_rename,[status(thm)],[sos_02])).
% 0.50/0.77 fof(c_0_16, 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])])])).
% 0.50/0.77 cnf(c_0_17, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.50/0.77 cnf(c_0_18, plain, ('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.50/0.77 cnf(c_0_19, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.50/0.77 cnf(c_0_20, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 0.50/0.77 cnf(c_0_21, plain, (X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
% 0.50/0.77 cnf(c_0_22, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.50/0.77 cnf(c_0_23, plain, ('>='('+'(X1,'==>'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.50/0.77 cnf(c_0_24, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.50/0.77 fof(c_0_25, plain, ![X41, X42, X43]:((~'>='(X41,X42)|'>='('==>'(X42,X43),'==>'(X41,X43)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])).
% 0.50/0.77 cnf(c_0_26, plain, ('==>'(X1,X2)=X3|~'>='('==>'(X1,X2),X3)|~'>='('+'(X1,X3),X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.50/0.77 cnf(c_0_27, plain, ('>='('==>'('0',X1),X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 0.50/0.77 fof(c_0_28, plain, ![X37]:('>='(X37,'0')), inference(variable_rename,[status(thm)],[sos_08])).
% 0.50/0.77 fof(c_0_29, plain, ![X48]:('==>'('==>'('==>'(X48,'1'),X48),X48)='0'), inference(variable_rename,[status(thm)],[sos_13])).
% 0.50/0.77 cnf(c_0_30, plain, ('>='('==>'(X2,X3),'==>'(X1,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
% 0.50/0.77 cnf(c_0_31, plain, ('==>'('0',X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_24]), c_0_18])])).
% 0.50/0.77 cnf(c_0_32, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_28])).
% 0.50/0.77 fof(c_0_33, 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])])])).
% 0.50/0.77 fof(c_0_34, plain, ![X47]:('+'(X47,'1')='1'), inference(variable_rename,[status(thm)],[sos_12])).
% 0.50/0.77 cnf(c_0_35, plain, ('+'(X1,'==>'(X1,X2))=X2|~'>='(X2,'+'(X1,'==>'(X1,X2)))), inference(spm,[status(thm)],[c_0_21, c_0_23])).
% 0.50/0.77 cnf(c_0_36, plain, ('==>'('==>'('==>'(X1,'1'),X1),X1)='0'), inference(split_conjunct,[status(thm)],[c_0_29])).
% 0.50/0.77 cnf(c_0_37, plain, ('>='(X1,'==>'(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])])).
% 0.50/0.77 cnf(c_0_38, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.50/0.77 cnf(c_0_39, plain, ('+'(X1,'1')='1'), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.50/0.77 cnf(c_0_40, plain, ('==>'(X1,X2)='==>'(X3,X2)|~'>='('==>'(X1,X2),'==>'(X3,X2))|~'>='(X1,X3)), inference(spm,[status(thm)],[c_0_21, c_0_30])).
% 0.50/0.77 cnf(c_0_41, plain, ('==>'('==>'(X1,'1'),X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_19]), c_0_19]), c_0_37])])).
% 0.50/0.77 fof(c_0_42, plain, ![X44, X45, X46]:((~'>='(X44,X45)|'>='('==>'(X46,X44),'==>'(X46,X45)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])).
% 0.50/0.77 cnf(c_0_43, plain, ('>='('+'(X1,X2),X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_24]), c_0_32])])).
% 0.50/0.77 cnf(c_0_44, plain, ('+'('1',X1)='1'), inference(spm,[status(thm)],[c_0_39, c_0_20])).
% 0.50/0.77 cnf(c_0_45, plain, ('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_21, c_0_32])).
% 0.50/0.77 cnf(c_0_46, plain, ('==>'(X1,X2)=X2|~'>='('==>'(X2,'1'),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_37])])).
% 0.50/0.77 cnf(c_0_47, plain, ('>='('==>'(X3,X1),'==>'(X3,X2))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
% 0.50/0.77 cnf(c_0_48, plain, ('>='('1',X1)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 0.50/0.77 cnf(c_0_49, plain, ('==>'(X1,X2)='0'|~'>='(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_22]), c_0_19])).
% 0.50/0.77 cnf(c_0_50, plain, ('==>'('==>'(X1,X2),X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])])).
% 0.50/0.77 cnf(c_0_51, plain, (X1='0'|~'>='('==>'(X1,X2),X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 0.50/0.77 cnf(c_0_52, plain, ('==>'(X1,X2)='0'|~'>='(X1,'==>'(X1,X2))), inference(spm,[status(thm)],[c_0_51, c_0_50])).
% 0.50/0.77 fof(c_0_53, negated_conjecture, ~(![X21]:('+'(X21,X21)=X21)), inference(assume_negation,[status(cth)],[goals_14])).
% 0.50/0.77 cnf(c_0_54, plain, ('==>'(X1,X2)='0'|~'>='('+'(X1,X1),X2)), inference(spm,[status(thm)],[c_0_52, c_0_22])).
% 0.50/0.77 fof(c_0_55, negated_conjecture, '+'(esk1_0,esk1_0)!=esk1_0, inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])])).
% 0.50/0.77 cnf(c_0_56, plain, ('==>'(X1,'+'(X1,X1))='0'), inference(spm,[status(thm)],[c_0_54, c_0_18])).
% 0.50/0.77 cnf(c_0_57, plain, ('>='('+'(X1,X2),X1)), inference(spm,[status(thm)],[c_0_43, c_0_20])).
% 0.50/0.77 cnf(c_0_58, negated_conjecture, ('+'(esk1_0,esk1_0)!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_55])).
% 0.50/0.77 cnf(c_0_59, plain, ('+'(X1,X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_56]), c_0_19]), c_0_19]), c_0_57])])).
% 0.50/0.77 cnf(c_0_60, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])]), ['proof']).
% 0.50/0.77 % SZS output end Proof
% 0.50/0.77 % User time : 0.132 s
% 0.50/0.77 % System time : 0.005 s
% 0.50/0.77 % Total time : 0.137 s
% 0.50/0.77 % User time : 0.587 s
% 0.50/0.77 % System time : 0.030 s
% 0.50/0.77 % Total time : 0.616 s
% 0.50/0.77
%------------------------------------------------------------------------------