0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.13/0.34 % Computer : n005.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 05:24:34 EDT 2022 0.13/0.35 % CPUTime : 0.20/0.46 openjdk version "1.8.0_171" 0.20/0.46 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.20/0.46 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.20/0.46 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.55/0.71 start to proof: theBenchmark 2.20/2.27 % Version : CSE_E---1.4 2.20/2.27 % Problem : theBenchmark.p 2.20/2.27 % Proof found 2.20/2.27 % SZS status Theorem for theBenchmark.p 2.20/2.27 % SZS output start Proof 2.20/2.27 fof(sos_03, axiom, ![X1]:'+'(X1,'0')=X1, file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_03)). 2.20/2.27 fof(sos_02, axiom, ![X1, X2]:'+'(X1,X2)='+'(X2,X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_02)). 2.20/2.27 fof(sos_09, axiom, ![X6, X7, X8]:('>='(X6,X7)=>'>='('+'(X6,X8),'+'(X7,X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_09)). 2.20/2.27 fof(sos_08, axiom, ![X1]:'>='(X1,'0'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_08)). 2.20/2.27 fof(sos_07, axiom, ![X9, X10, X11]:('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_07)). 2.20/2.27 fof(sos_06, axiom, ![X12, X13]:(('>='(X12,X13)&'>='(X13,X12))=>X13=X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_06)). 2.20/2.27 fof(sos_10, axiom, ![X14, X15, X16]:('>='(X14,X15)=>'>='('==>'(X15,X16),'==>'(X14,X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_10)). 2.20/2.27 fof(sos_04, axiom, ![X1]:'>='(X1,X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_04)). 2.20/2.27 fof(sos_11, axiom, ![X18, X19, X20]:('>='(X18,X19)=>'>='('==>'(X20,X18),'==>'(X20,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_11)). 2.20/2.27 fof(sos_12, axiom, ![X1, X2, X17]:'+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X17))))='+'('+'(X1,'==>'(X1,X2)),'==>'('+'(X1,'==>'(X1,X2)),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_12)). 2.20/2.27 fof(sos_01, axiom, ![X1, X2, X17]:'+'(X1,'+'(X2,X17))='+'('+'(X1,X2),X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_01)). 2.20/2.27 fof(goals_13, conjecture, ![X21, X22]:'+'(X22,'==>'(X22,X21))='+'(X21,'==>'(X21,X22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals_13)). 2.20/2.27 fof(c_0_12, plain, ![X82]:'+'(X82,'0')=X82, inference(variable_rename,[status(thm)],[sos_03])). 2.20/2.27 fof(c_0_13, plain, ![X54, X55]:'+'(X54,X55)='+'(X55,X54), inference(variable_rename,[status(thm)],[sos_02])). 2.20/2.27 fof(c_0_14, plain, ![X59, X60, X61]:(~'>='(X59,X60)|'>='('+'(X59,X61),'+'(X60,X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])). 2.20/2.27 fof(c_0_15, plain, ![X62]:'>='(X62,'0'), inference(variable_rename,[status(thm)],[sos_08])). 2.20/2.27 cnf(c_0_16, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_12])). 2.20/2.27 cnf(c_0_17, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 2.20/2.27 cnf(c_0_18, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 2.20/2.27 cnf(c_0_19, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_15])). 2.20/2.27 cnf(c_0_20, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_16, c_0_17])). 2.20/2.27 fof(c_0_21, plain, ![X63, X64, X65]:((~'>='('+'(X63,X64),X65)|'>='(X64,'==>'(X63,X65)))&(~'>='(X64,'==>'(X63,X65))|'>='('+'(X63,X64),X65))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])). 2.20/2.27 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])). 2.20/2.27 fof(c_0_23, plain, ![X66, X67]:(~'>='(X66,X67)|~'>='(X67,X66)|X67=X66), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])). 2.20/2.27 cnf(c_0_24, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_21])). 2.20/2.27 cnf(c_0_25, plain, ('>='('+'(X1,X2),X1)), inference(spm,[status(thm)],[c_0_22, c_0_17])). 2.20/2.27 fof(c_0_26, plain, ![X68, X69, X70]:(~'>='(X68,X69)|'>='('==>'(X69,X70),'==>'(X68,X70))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])). 2.20/2.27 fof(c_0_27, plain, ![X53]:'>='(X53,X53), inference(variable_rename,[status(thm)],[sos_04])). 2.20/2.27 cnf(c_0_28, plain, (X2=X1|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23])). 2.20/2.27 cnf(c_0_29, plain, ('>='(X1,'==>'(X2,X2))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 2.20/2.27 cnf(c_0_30, plain, ('>='('==>'(X2,X3),'==>'(X1,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26])). 2.20/2.28 cnf(c_0_31, plain, ('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_27])). 2.20/2.28 fof(c_0_32, plain, ![X77, X78, X79]:(~'>='(X77,X78)|'>='('==>'(X79,X77),'==>'(X79,X78))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])). 2.20/2.28 cnf(c_0_33, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_21])). 2.20/2.28 fof(c_0_34, plain, ![X71, X72, X73]:'+'(X71,'==>'(X71,'+'(X72,'==>'(X72,X73))))='+'('+'(X71,'==>'(X71,X72)),'==>'('+'(X71,'==>'(X71,X72)),X73)), inference(variable_rename,[status(thm)],[sos_12])). 2.20/2.28 fof(c_0_35, plain, ![X74, X75, X76]:'+'(X74,'+'(X75,X76))='+'('+'(X74,X75),X76), inference(variable_rename,[status(thm)],[sos_01])). 2.20/2.28 cnf(c_0_36, plain, ('==>'(X1,X1)=X2|~'>='('==>'(X1,X1),X2)), inference(spm,[status(thm)],[c_0_28, c_0_29])). 2.20/2.28 cnf(c_0_37, plain, ('>='('==>'(X1,X2),'==>'('+'(X3,X1),X2))), inference(spm,[status(thm)],[c_0_30, c_0_22])). 2.20/2.28 cnf(c_0_38, plain, ('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_28, c_0_19])). 2.20/2.28 cnf(c_0_39, plain, ('>='(X1,'==>'(X2,'+'(X2,X1)))), inference(spm,[status(thm)],[c_0_24, c_0_31])). 2.20/2.28 cnf(c_0_40, plain, ('>='('==>'(X3,X1),'==>'(X3,X2))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_32])). 2.20/2.28 cnf(c_0_41, plain, ('>='('+'(X1,'==>'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_33, c_0_31])). 2.20/2.28 cnf(c_0_42, plain, ('+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3))))='+'('+'(X1,'==>'(X1,X2)),'==>'('+'(X1,'==>'(X1,X2)),X3))), inference(split_conjunct,[status(thm)],[c_0_34])). 2.20/2.28 cnf(c_0_43, plain, ('+'(X1,'+'(X2,X3))='+'('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_35])). 2.20/2.28 cnf(c_0_44, plain, ('==>'('+'(X1,X2),X2)='==>'(X2,X2)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 2.20/2.28 cnf(c_0_45, plain, ('0'='==>'(X1,X1)), inference(spm,[status(thm)],[c_0_38, c_0_29])). 2.20/2.28 cnf(c_0_46, plain, ('==>'(X1,'+'(X1,X2))=X2|~'>='('==>'(X1,'+'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_28, c_0_39])). 2.20/2.28 cnf(c_0_47, plain, ('>='('==>'(X1,'+'(X2,'==>'(X2,X3))),'==>'(X1,X3))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 2.20/2.28 cnf(c_0_48, plain, ('+'(X1,'+'('==>'(X1,X2),'==>'('+'(X1,'==>'(X1,X2)),X3)))='+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3))))), inference(rw,[status(thm)],[c_0_42, c_0_43])). 2.20/2.28 cnf(c_0_49, plain, ('==>'('+'(X1,X2),X1)='==>'(X1,X1)), inference(spm,[status(thm)],[c_0_44, c_0_17])). 2.20/2.28 cnf(c_0_50, plain, ('+'(X1,'==>'(X2,X2))=X1), inference(spm,[status(thm)],[c_0_16, c_0_45])). 2.20/2.28 cnf(c_0_51, plain, ('==>'(X1,'+'(X1,'==>'(X1,X2)))='==>'(X1,X2)), inference(spm,[status(thm)],[c_0_46, c_0_47])). 2.20/2.28 cnf(c_0_52, plain, ('+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X1))))='+'(X1,'==>'(X1,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])). 2.20/2.28 fof(c_0_53, negated_conjecture, ~(![X21, X22]:'+'(X22,'==>'(X22,X21))='+'(X21,'==>'(X21,X22))), inference(assume_negation,[status(cth)],[goals_13])). 2.20/2.28 cnf(c_0_54, plain, ('==>'(X1,'+'(X2,'==>'(X2,X1)))='==>'(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_51])). 2.20/2.28 fof(c_0_55, negated_conjecture, '+'(esk2_0,'==>'(esk2_0,esk1_0))!='+'(esk1_0,'==>'(esk1_0,esk2_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])). 2.20/2.28 cnf(c_0_56, plain, ('>='('+'(X1,'==>'(X1,X2)),'+'(X2,'==>'(X2,X1)))), inference(spm,[status(thm)],[c_0_41, c_0_54])). 2.20/2.28 cnf(c_0_57, negated_conjecture, ('+'(esk2_0,'==>'(esk2_0,esk1_0))!='+'(esk1_0,'==>'(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_55])). 2.20/2.28 cnf(c_0_58, plain, ('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_56]), c_0_56])])). 2.20/2.28 cnf(c_0_59, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])]), ['proof']). 2.20/2.28 % SZS output end Proof 2.20/2.28 % Total time : 1.560000 s 2.28/2.30 EOF