0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_epr.jar %d %s 0.15/0.36 % Computer : n004.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 960 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Thu Jul 2 08:43:59 EDT 2020 0.15/0.37 % CPUTime : 0.22/0.48 openjdk version "1.8.0_171" 0.22/0.48 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.22/0.48 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.22/0.48 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.52/0.64 start to proof:theBenchmark.p 6.15/6.17 % Version : CSE_E---1.2 6.15/6.17 % Problem : theBenchmark.p 6.15/6.17 % Proof found! 6.15/6.17 % SZS status Theorem for theBenchmark.p 6.15/6.17 % SZS output start Proof 6.15/6.17 fof(conj_1, conjecture, ![X109, X244]:(![X302]:(X244=X302<=![X30]:(hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X109),X30))=>X30=X302))=>hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X109),X244))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 6.15/6.17 fof(fact_com__det, axiom, ![X135, X190, X113, X1]:((X135=X190<=hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X113),X135)))<=hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X113),X190))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_com__det)). 6.15/6.17 fof(fact_Zero__not__Suc, axiom, ![X37]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X37), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Zero__not__Suc)). 6.15/6.17 fof(fact_transfer__nat__int__numerals_I1_J, axiom, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_transfer__nat__int__numerals_I1_J)). 6.15/6.17 fof(fact_Pls__def, axiom, c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Int_OPls, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Pls__def)). 6.15/6.17 fof(c_0_5, negated_conjecture, ~(![X109, X244]:(![X302]:(X244=X302<=![X30]:(hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X109),X30))=>X30=X302))=>hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X109),X244)))), inference(assume_negation,[status(cth)],[conj_1])). 6.15/6.17 fof(c_0_6, plain, ![X8962, X8963, X8964, X8965]:(~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X8965),X8964),X8963))|(~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X8965),X8964),X8962))|X8962=X8963)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_com__det])])])). 6.15/6.17 fof(c_0_7, negated_conjecture, ![X11996]:(((hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk376_0),esk378_1(X11996)))|esk377_0=X11996)&(esk378_1(X11996)!=X11996|esk377_0=X11996))&~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk376_0),esk377_0))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])). 6.15/6.17 cnf(c_0_8, plain, (X4=X3|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X4))), inference(split_conjunct,[status(thm)],[c_0_6])). 6.15/6.17 cnf(c_0_9, negated_conjecture, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk376_0),esk378_1(X1)))|esk377_0=X1), inference(split_conjunct,[status(thm)],[c_0_7])). 6.15/6.17 cnf(c_0_10, negated_conjecture, (X1=esk378_1(X2)|esk377_0=X2|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk376_0),X1))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 6.15/6.17 fof(c_0_11, plain, ![X1215]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1215), inference(variable_rename,[status(thm)],[fact_Zero__not__Suc])). 6.15/6.17 cnf(c_0_12, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J])). 6.15/6.17 cnf(c_0_13, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Int_OPls), inference(split_conjunct,[status(thm)],[fact_Pls__def])). 6.15/6.17 cnf(c_0_14, negated_conjecture, (esk377_0=X1|esk378_1(X1)!=X1), inference(split_conjunct,[status(thm)],[c_0_7])). 6.15/6.17 cnf(c_0_15, negated_conjecture, (esk378_1(X1)=esk378_1(X2)|esk377_0=X1|esk377_0=X2), inference(spm,[status(thm)],[c_0_10, c_0_9])). 6.15/6.17 cnf(c_0_16, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_11])). 6.15/6.17 cnf(c_0_17, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Int_OPls)), inference(rw,[status(thm)],[c_0_12, c_0_13])). 6.15/6.17 cnf(c_0_18, negated_conjecture, (esk378_1(X1)=esk377_0|esk377_0=X1), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15])])). 6.15/6.17 cnf(c_0_19, negated_conjecture, (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk376_0),esk377_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 6.15/6.17 cnf(c_0_20, plain, (hAPP(c_Int_Onat,c_Int_OPls)!=hAPP(c_Nat_OSuc,X1)), inference(rw,[status(thm)],[c_0_16, c_0_17])). 6.15/6.17 cnf(c_0_21, negated_conjecture, (esk377_0=X1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_18]), c_0_19])). 6.15/6.17 cnf(c_0_22, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_21])]), ['proof']). 6.15/6.17 % SZS output end Proof 6.15/6.17 % User time : 5.302 s 6.15/6.17 % System time : 0.143 s 6.15/6.17 % Total time : 5.444 s 6.15/6.17 6.15/6.17 EOF