%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL896+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 20.20s 3.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL896+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.33 % Computer : n031.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Fri Sep 4 17:34:24 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.46 start to proof:theBenchmark.p
% 20.20/3.42 % Version : CSI_E---1.1
% 20.20/3.42 % Problem : theBenchmark.p
% 20.20/3.42 % Proof found!
% 20.20/3.42 % SZS status Theorem for theBenchmark.p
% 20.20/3.42 % SZS output start Proof
% 20.20/3.42 fof(sos_03, axiom, ![X1]:('+'(X1,'0')=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_03)).
% 20.20/3.42 fof(sos_02, axiom, ![X1, X2]:('+'(X1,X2)='+'(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_02)).
% 20.20/3.42 fof(sos_09, axiom, ![X12, X13, X14]:(('>='(X12,X13)=>'>='('+'(X12,X14),'+'(X13,X14)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_09)).
% 20.20/3.42 fof(sos_08, axiom, ![X1]:('>='(X1,'0')), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_08)).
% 20.20/3.42 fof(sos_07, axiom, ![X9, X10, X11]:(('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_07)).
% 20.20/3.42 fof(sos_06, axiom, ![X7, X8]:((('>='(X7,X8)&'>='(X8,X7))=>X7=X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_06)).
% 20.20/3.42 fof(sos_04, axiom, ![X1]:('>='(X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_04)).
% 20.20/3.42 fof(sos_10, axiom, ![X15, X16, X17]:(('>='(X15,X16)=>'>='('==>'(X16,X17),'==>'(X15,X17)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_10)).
% 20.20/3.42 fof(sos_11, axiom, ![X18, X19, X20]:(('>='(X18,X19)=>'>='('==>'(X20,X18),'==>'(X20,X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_11)).
% 20.20/3.42 fof(sos_12, axiom, ![X1, X2, X3]:('+'('+'(X1,'==>'(X1,X2)),'==>'('+'(X1,'==>'(X1,X2)),X3))='+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_12)).
% 20.20/3.42 fof(sos_01, axiom, ![X1, X2, X3]:('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_01)).
% 20.20/3.42 fof(goals_13, conjecture, ![X21, X22]:('+'(X21,'==>'(X21,X22))='+'(X22,'==>'(X22,X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals_13)).
% 20.20/3.42 fof(c_0_12, plain, ![X28]:('+'(X28,'0')=X28), inference(variable_rename,[status(thm)],[sos_03])).
% 20.20/3.42 fof(c_0_13, plain, ![X26, X27]:('+'(X26,X27)='+'(X27,X26)), inference(variable_rename,[status(thm)],[sos_02])).
% 20.20/3.42 fof(c_0_14, 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])])])).
% 20.20/3.42 fof(c_0_15, plain, ![X38]:('>='(X38,'0')), inference(variable_rename,[status(thm)],[sos_08])).
% 20.20/3.42 cnf(c_0_16, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_12])).
% 20.20/3.42 cnf(c_0_17, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 20.20/3.42 cnf(c_0_18, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 20.20/3.42 cnf(c_0_19, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_15])).
% 20.20/3.42 cnf(c_0_20, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 20.20/3.42 fof(c_0_21, 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])])])).
% 20.20/3.42 cnf(c_0_22, plain, ('>='('+'(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20])).
% 20.20/3.42 fof(c_0_23, 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])])])).
% 20.20/3.42 fof(c_0_24, plain, ![X29]:('>='(X29,X29)), inference(variable_rename,[status(thm)],[sos_04])).
% 20.20/3.42 cnf(c_0_25, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_21])).
% 20.20/3.42 cnf(c_0_26, plain, ('>='('+'(X1,X2),X1)), inference(spm,[status(thm)],[c_0_22, c_0_17])).
% 20.20/3.42 fof(c_0_27, plain, ![X42, X43, X44]:((~'>='(X42,X43)|'>='('==>'(X43,X44),'==>'(X42,X44)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])).
% 20.20/3.42 cnf(c_0_28, plain, (X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
% 20.20/3.42 cnf(c_0_29, plain, ('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 20.20/3.42 fof(c_0_30, 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])])])).
% 20.20/3.42 cnf(c_0_31, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_21])).
% 20.20/3.42 fof(c_0_32, plain, ![X48, X49, X50]:('+'('+'(X48,'==>'(X48,X49)),'==>'('+'(X48,'==>'(X48,X49)),X50))='+'(X48,'==>'(X48,'+'(X49,'==>'(X49,X50))))), inference(variable_rename,[status(thm)],[sos_12])).
% 20.20/3.42 fof(c_0_33, plain, ![X23, X24, X25]:('+'('+'(X23,X24),X25)='+'(X23,'+'(X24,X25))), inference(variable_rename,[status(thm)],[sos_01])).
% 20.20/3.42 cnf(c_0_34, plain, ('>='(X1,'==>'(X2,X2))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 20.20/3.42 cnf(c_0_35, plain, ('>='('==>'(X2,X3),'==>'(X1,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
% 20.20/3.42 cnf(c_0_36, plain, ('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_28, c_0_19])).
% 20.20/3.42 cnf(c_0_37, plain, ('>='(X1,'==>'(X2,'+'(X2,X1)))), inference(spm,[status(thm)],[c_0_25, c_0_29])).
% 20.20/3.42 cnf(c_0_38, plain, ('>='('==>'(X3,X1),'==>'(X3,X2))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 20.20/3.42 cnf(c_0_39, plain, ('>='('+'(X1,'==>'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_31, c_0_29])).
% 20.20/3.42 cnf(c_0_40, plain, ('+'('+'(X1,'==>'(X1,X2)),'==>'('+'(X1,'==>'(X1,X2)),X3))='+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3))))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 20.20/3.42 cnf(c_0_41, plain, ('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 20.20/3.42 cnf(c_0_42, plain, ('==>'(X1,X1)=X2|~'>='('==>'(X1,X1),X2)), inference(spm,[status(thm)],[c_0_28, c_0_34])).
% 20.20/3.42 cnf(c_0_43, plain, ('>='('==>'(X1,X2),'==>'('+'(X1,X3),X2))), inference(spm,[status(thm)],[c_0_35, c_0_26])).
% 20.20/3.42 cnf(c_0_44, plain, ('0'='==>'(X1,X1)), inference(spm,[status(thm)],[c_0_36, c_0_34])).
% 20.20/3.42 cnf(c_0_45, plain, ('==>'(X1,'+'(X1,X2))=X2|~'>='('==>'(X1,'+'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_28, c_0_37])).
% 20.20/3.42 cnf(c_0_46, plain, ('>='('==>'(X1,'+'(X2,'==>'(X2,X3))),'==>'(X1,X3))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 20.20/3.42 cnf(c_0_47, plain, ('+'(X1,'+'('==>'(X1,X2),'==>'('+'(X1,'==>'(X1,X2)),X3)))='+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3))))), inference(rw,[status(thm)],[c_0_40, c_0_41])).
% 20.20/3.42 cnf(c_0_48, plain, ('==>'('+'(X1,X2),X1)='==>'(X1,X1)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
% 20.20/3.42 cnf(c_0_49, plain, ('+'(X1,'==>'(X2,X2))=X1), inference(spm,[status(thm)],[c_0_16, c_0_44])).
% 20.20/3.42 cnf(c_0_50, plain, ('==>'(X1,'+'(X1,'==>'(X1,X2)))='==>'(X1,X2)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 20.20/3.42 cnf(c_0_51, plain, ('+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X1))))='+'(X1,'==>'(X1,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])).
% 20.20/3.42 fof(c_0_52, negated_conjecture, ~(![X21, X22]:('+'(X21,'==>'(X21,X22))='+'(X22,'==>'(X22,X21)))), inference(assume_negation,[status(cth)],[goals_13])).
% 20.20/3.42 cnf(c_0_53, plain, ('==>'(X1,'+'(X2,'==>'(X2,X1)))='==>'(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_50])).
% 20.20/3.42 fof(c_0_54, negated_conjecture, '+'(esk1_0,'==>'(esk1_0,esk2_0))!='+'(esk2_0,'==>'(esk2_0,esk1_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])).
% 20.20/3.42 cnf(c_0_55, plain, ('>='('+'(X1,'==>'(X1,X2)),'+'(X2,'==>'(X2,X1)))), inference(spm,[status(thm)],[c_0_39, c_0_53])).
% 20.20/3.42 cnf(c_0_56, negated_conjecture, ('+'(esk1_0,'==>'(esk1_0,esk2_0))!='+'(esk2_0,'==>'(esk2_0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_54])).
% 20.20/3.42 cnf(c_0_57, plain, ('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_55]), c_0_55])])).
% 20.20/3.42 cnf(c_0_58, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])]), ['proof']).
% 20.20/3.42 % SZS output end Proof
% 20.20/3.42 % User time : 2.704 s
% 20.20/3.42 % System time : 0.151 s
% 20.20/3.42 % Total time : 2.855 s
% 20.20/3.42 % User time : 13.697 s
% 20.20/3.42 % System time : 0.399 s
% 20.20/3.42 % Total time : 14.096 s
% 20.20/3.42
%------------------------------------------------------------------------------