%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL898+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n010.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 1.90s 0.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL898+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.05/0.32 % Computer : n010.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sat Sep 5 00:50:08 UTC 2026
% 0.05/0.33 % CPUTime :
% 0.11/0.44 start to proof:theBenchmark.p
% 1.90/0.75 % Version : CSI_E---1.1
% 1.90/0.75 % Problem : theBenchmark.p
% 1.90/0.75 % Proof found!
% 1.90/0.75 % SZS status Theorem for theBenchmark.p
% 1.90/0.75 % SZS output start Proof
% 1.90/0.75 fof(sos_14, axiom, ![X1]:('+'(X1,'1')='1'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_14)).
% 1.90/0.75 fof(sos_02, axiom, ![X1, X2]:('+'(X1,X2)='+'(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_02)).
% 1.90/0.75 fof(sos_12, axiom, ![X1, X2]:('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_12)).
% 1.90/0.75 fof(sos_07, axiom, ![X9, X10, X11]:(('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_07)).
% 1.90/0.75 fof(sos_04, axiom, ![X1]:('>='(X1,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_04)).
% 1.90/0.75 fof(sos_01, axiom, ![X1, X2, X3]:('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_01)).
% 1.90/0.75 fof(sos_03, axiom, ![X1]:('+'(X1,'0')=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_03)).
% 1.90/0.75 fof(sos_13, axiom, ![X1]:('==>'('==>'(X1,'1'),'1')=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_13)).
% 1.90/0.75 fof(sos_06, axiom, ![X7, X8]:((('>='(X7,X8)&'>='(X8,X7))=>X7=X8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_06)).
% 1.90/0.75 fof(sos_08, axiom, ![X1]:('>='(X1,'0')), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_08)).
% 1.90/0.75 fof(sos_09, axiom, ![X12, X13, X14]:(('>='(X12,X13)=>'>='('+'(X12,X14),'+'(X13,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_09)).
% 1.90/0.75 fof(sos_11, axiom, ![X18, X19, X20]:(('>='(X18,X19)=>'>='('==>'(X20,X18),'==>'(X20,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_11)).
% 1.90/0.75 fof(goals_15, conjecture, ![X21, X22]:('==>'('==>'(X21,X22),X22)='==>'('==>'(X22,X21),X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals_15)).
% 1.90/0.75 fof(c_0_13, plain, ![X51]:('+'(X51,'1')='1'), inference(variable_rename,[status(thm)],[sos_14])).
% 1.90/0.75 fof(c_0_14, plain, ![X26, X27]:('+'(X26,X27)='+'(X27,X26)), inference(variable_rename,[status(thm)],[sos_02])).
% 1.90/0.75 cnf(c_0_15, plain, ('+'(X1,'1')='1'), inference(split_conjunct,[status(thm)],[c_0_13])).
% 1.90/0.75 cnf(c_0_16, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 1.90/0.75 fof(c_0_17, plain, ![X48, X49]:('+'(X48,'==>'(X48,X49))='+'(X49,'==>'(X49,X48))), inference(variable_rename,[status(thm)],[sos_12])).
% 1.90/0.75 fof(c_0_18, plain, ![X35, X36, X37]:(((~'>='('+'(X35,X36),X37)|'>='(X36,'==>'(X35,X37)))&(~'>='(X36,'==>'(X35,X37))|'>='('+'(X35,X36),X37)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])).
% 1.90/0.75 fof(c_0_19, plain, ![X29]:('>='(X29,X29)), inference(variable_rename,[status(thm)],[sos_04])).
% 1.90/0.75 fof(c_0_20, plain, ![X23, X24, X25]:('+'('+'(X23,X24),X25)='+'(X23,'+'(X24,X25))), inference(variable_rename,[status(thm)],[sos_01])).
% 1.90/0.75 cnf(c_0_21, plain, ('+'('1',X1)='1'), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 1.90/0.75 cnf(c_0_22, plain, ('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
% 1.90/0.75 cnf(c_0_23, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_18])).
% 1.90/0.75 cnf(c_0_24, plain, ('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
% 1.90/0.75 cnf(c_0_25, plain, ('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_20])).
% 1.90/0.75 cnf(c_0_26, plain, ('+'(X1,'==>'(X1,'1'))='1'), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 1.90/0.75 fof(c_0_27, plain, ![X28]:('+'(X28,'0')=X28), inference(variable_rename,[status(thm)],[sos_03])).
% 1.90/0.75 cnf(c_0_28, plain, ('>='(X1,'==>'(X2,'+'(X2,X1)))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 1.90/0.75 cnf(c_0_29, plain, ('+'(X1,'+'('==>'(X1,'1'),X2))='1'), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_21])).
% 1.90/0.75 cnf(c_0_30, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_27])).
% 1.90/0.75 cnf(c_0_31, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_18])).
% 1.90/0.75 cnf(c_0_32, plain, ('>='(X1,'==>'(X2,'+'(X1,X2)))), inference(spm,[status(thm)],[c_0_28, c_0_16])).
% 1.90/0.75 cnf(c_0_33, plain, ('+'(X1,'+'(X2,X3))='+'(X2,'+'(X3,X1))), inference(spm,[status(thm)],[c_0_25, c_0_16])).
% 1.90/0.75 cnf(c_0_34, plain, ('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,'1'))))='1'), inference(spm,[status(thm)],[c_0_29, c_0_22])).
% 1.90/0.75 fof(c_0_35, plain, ![X50]:('==>'('==>'(X50,'1'),'1')=X50), inference(variable_rename,[status(thm)],[sos_13])).
% 1.90/0.75 fof(c_0_36, plain, ![X33, X34]:((~'>='(X33,X34)|~'>='(X34,X33)|X33=X34)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])).
% 1.90/0.75 cnf(c_0_37, plain, ('>='('0','==>'(X1,X2))|~'>='(X1,X2)), inference(spm,[status(thm)],[c_0_23, c_0_30])).
% 1.90/0.75 cnf(c_0_38, plain, ('>='('+'(X1,X2),'+'(X2,X1))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 1.90/0.75 fof(c_0_39, plain, ![X38]:('>='(X38,'0')), inference(variable_rename,[status(thm)],[sos_08])).
% 1.90/0.75 cnf(c_0_40, plain, ('+'(X1,'+'(X2,'==>'(X1,'==>'(X2,'1'))))='1'), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_16])).
% 1.90/0.75 cnf(c_0_41, plain, ('==>'('==>'(X1,'1'),'1')=X1), inference(split_conjunct,[status(thm)],[c_0_35])).
% 1.90/0.75 cnf(c_0_42, plain, (X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
% 1.90/0.75 cnf(c_0_43, plain, ('>='('0','==>'('+'(X1,X2),'+'(X2,X1)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 1.90/0.75 cnf(c_0_44, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_39])).
% 1.90/0.75 cnf(c_0_45, plain, ('>='('+'(X1,'==>'(X2,'==>'(X1,'1'))),'==>'(X2,'1'))), inference(spm,[status(thm)],[c_0_28, c_0_40])).
% 1.90/0.75 cnf(c_0_46, plain, ('+'('==>'(X1,'1'),'+'(X2,'==>'(X2,X1)))='1'), inference(spm,[status(thm)],[c_0_34, c_0_41])).
% 1.90/0.75 cnf(c_0_47, plain, ('==>'('+'(X1,X2),'+'(X2,X1))='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])])).
% 1.90/0.75 cnf(c_0_48, plain, ('>='('==>'(X1,'==>'(X2,'1')),'==>'(X2,'==>'(X1,'1')))), inference(spm,[status(thm)],[c_0_23, c_0_45])).
% 1.90/0.75 cnf(c_0_49, plain, ('+'(X1,'+'(X2,'==>'('+'(X2,X1),'1')))='1'), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_30]), c_0_16]), c_0_25])).
% 1.90/0.76 cnf(c_0_50, plain, ('==>'(X1,'==>'(X2,'1'))='==>'(X2,'==>'(X1,'1'))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_48]), c_0_48])])).
% 1.90/0.76 fof(c_0_51, plain, ![X39, X40, X41]:((~'>='(X39,X40)|'>='('+'(X39,X41),'+'(X40,X41)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])).
% 1.90/0.76 cnf(c_0_52, plain, ('>='('+'(X1,'==>'('+'(X1,X2),'1')),'==>'(X2,'1'))), inference(spm,[status(thm)],[c_0_28, c_0_49])).
% 1.90/0.76 cnf(c_0_53, plain, ('==>'('==>'(X1,'1'),'==>'(X2,'1'))='==>'(X2,X1)), inference(spm,[status(thm)],[c_0_50, c_0_41])).
% 1.90/0.76 cnf(c_0_54, plain, ('+'(X1,'+'(X2,'==>'(X1,'1')))='1'), inference(spm,[status(thm)],[c_0_29, c_0_16])).
% 1.90/0.76 cnf(c_0_55, plain, ('+'(X1,'+'('==>'(X1,X2),X3))='+'(X2,'+'('==>'(X2,X1),X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_22]), c_0_25])).
% 1.90/0.76 cnf(c_0_56, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
% 1.90/0.76 cnf(c_0_57, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_30, c_0_16])).
% 1.90/0.76 cnf(c_0_58, plain, ('>='(X1,'==>'('+'(X2,X3),'+'(X2,'+'(X3,X1))))), inference(spm,[status(thm)],[c_0_28, c_0_25])).
% 1.90/0.76 cnf(c_0_59, plain, ('>='('==>'('+'(X1,X2),'1'),'==>'(X1,'==>'(X2,'1')))), inference(spm,[status(thm)],[c_0_23, c_0_52])).
% 1.90/0.76 cnf(c_0_60, plain, ('==>'('==>'(X1,'1'),X2)='==>'('==>'(X2,'1'),X1)), inference(spm,[status(thm)],[c_0_53, c_0_41])).
% 1.90/0.76 cnf(c_0_61, plain, ('+'(X1,'+'('==>'(X1,X2),'==>'(X2,'1')))='1'), inference(spm,[status(thm)],[c_0_54, c_0_55])).
% 1.90/0.76 fof(c_0_62, plain, ![X45, X46, X47]:((~'>='(X45,X46)|'>='('==>'(X47,X45),'==>'(X47,X46)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])).
% 1.90/0.76 cnf(c_0_63, plain, ('>='('+'(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_44]), c_0_57])).
% 1.90/0.76 cnf(c_0_64, plain, ('>='('==>'(X1,X2),'==>'('+'('==>'(X2,'1'),X1),'1'))), inference(spm,[status(thm)],[c_0_58, c_0_46])).
% 1.90/0.76 cnf(c_0_65, plain, ('>='('==>'('+'('==>'(X1,'1'),X2),'1'),'==>'(X2,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_41])).
% 1.90/0.76 cnf(c_0_66, plain, ('>='('+'('==>'(X1,X2),'==>'(X2,'1')),'==>'(X1,'1'))), inference(spm,[status(thm)],[c_0_28, c_0_61])).
% 1.90/0.76 cnf(c_0_67, plain, ('>='('==>'(X3,X1),'==>'(X3,X2))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
% 1.90/0.76 cnf(c_0_68, plain, ('>='('+'(X1,X2),X1)), inference(spm,[status(thm)],[c_0_63, c_0_16])).
% 1.90/0.76 cnf(c_0_69, plain, ('==>'('+'('==>'(X1,'1'),X2),'1')='==>'(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_64]), c_0_65])])).
% 1.90/0.76 cnf(c_0_70, plain, ('>='('==>'(X1,'1'),'==>'(X2,'==>'('==>'(X2,X1),'1')))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_66]), c_0_50])).
% 1.90/0.76 cnf(c_0_71, plain, ('>='('==>'(X1,X2),'==>'(X1,'+'(X2,'==>'(X2,X1))))), inference(spm,[status(thm)],[c_0_28, c_0_22])).
% 1.90/0.76 cnf(c_0_72, plain, ('>='('==>'(X1,'+'(X2,X3)),'==>'(X1,X2))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 1.90/0.76 cnf(c_0_73, plain, ('==>'('==>'(X1,X2),'1')='+'('==>'(X2,'1'),X1)), inference(spm,[status(thm)],[c_0_41, c_0_69])).
% 1.90/0.76 cnf(c_0_74, plain, ('>='(X1,'==>'('==>'(X1,X2),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_53]), c_0_41]), c_0_53])).
% 1.90/0.76 cnf(c_0_75, plain, ('==>'(X1,'+'(X2,'==>'(X2,X1)))='==>'(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_71]), c_0_72])])).
% 1.90/0.76 cnf(c_0_76, plain, ('==>'('==>'(X1,'1'),'+'('==>'(X2,'1'),X3))='==>'('==>'(X3,X2),X1)), inference(spm,[status(thm)],[c_0_53, c_0_73])).
% 1.90/0.76 cnf(c_0_77, plain, ('>='('0','==>'(X1,'==>'('==>'(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_37, c_0_74])).
% 1.90/0.76 fof(c_0_78, negated_conjecture, ~(![X21, X22]:('==>'('==>'(X21,X22),X22)='==>'('==>'(X22,X21),X21))), inference(assume_negation,[status(cth)],[goals_15])).
% 1.90/0.76 cnf(c_0_79, plain, ('==>'('==>'('==>'(X1,X2),X2),X1)='==>'(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_53]), c_0_53])).
% 1.90/0.76 cnf(c_0_80, plain, ('==>'(X1,'==>'('==>'(X1,X2),X2))='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_77]), c_0_44])])).
% 1.90/0.76 fof(c_0_81, negated_conjecture, '==>'('==>'(esk1_0,esk2_0),esk2_0)!='==>'('==>'(esk2_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_78])])])])).
% 1.90/0.76 cnf(c_0_82, plain, ('+'('==>'(X1,X2),'==>'('==>'(X2,X1),X1))=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_79]), c_0_80]), c_0_30]), c_0_16])).
% 1.90/0.76 cnf(c_0_83, negated_conjecture, ('==>'('==>'(esk1_0,esk2_0),esk2_0)!='==>'('==>'(esk2_0,esk1_0),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_81])).
% 1.90/0.76 cnf(c_0_84, plain, ('==>'('==>'(X1,X2),X2)='==>'('==>'(X2,X1),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_79]), c_0_80]), c_0_57])).
% 1.90/0.76 cnf(c_0_85, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84])]), ['proof']).
% 1.90/0.76 % SZS output end Proof
% 1.90/0.76 % User time : 0.270 s
% 1.90/0.76 % System time : 0.014 s
% 1.90/0.76 % Total time : 0.284 s
% 1.90/0.76 % User time : 1.167 s
% 1.90/0.76 % System time : 0.035 s
% 1.90/0.76 % Total time : 1.201 s
% 1.90/0.76
%------------------------------------------------------------------------------