0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : java -jar mcs_epr.jar %d %s 0.03/0.23 % Computer : n124.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:47:10 CDT 2018 0.03/0.23 % CPUTime : 0.06/0.29 openjdk version "1.8.0_144" 0.06/0.29 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.06/0.29 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.41 start to proof:theBenchmark.p 0.14/0.52 % Version : CSE_E---1.0 0.14/0.52 % Problem : theBenchmark.p 0.14/0.52 % Proof found! 0.14/0.52 % SZS status Theorem for theBenchmark.p 0.14/0.52 % SZS output start Proof 0.14/0.52 fof(ut, conjecture, (![X1]:![X2]:(a(X1,X2)=real_zero<=((int_less(X2,X1)&int_leq(X1,n))&int_leq(int_one,X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ut)). 0.14/0.52 fof(int_leq, axiom, (![X1]:![X2]:(int_leq(X1,X2)<=>(int_less(X1,X2)|X1=X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', int_leq)). 0.14/0.52 fof(int_less_transitive, axiom, (![X1]:![X2]:![X7]:(int_less(X1,X7)<=(int_less(X2,X7)&int_less(X1,X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', int_less_transitive)). 0.14/0.52 fof(one_successor_of_zero, axiom, (![X1]:(int_leq(int_one,X1)<=>int_less(int_zero,X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', one_successor_of_zero)). 0.14/0.52 fof(qiu, hypothesis, (![X1]:![X2]:((((int_leq(int_one,X1)&int_leq(int_one,X2))&int_leq(X2,n))&int_leq(X1,n))=>(![X8]:(![X7]:(lu(X7,plus(X7,X8))=a(X7,plus(X7,X8))<=(int_leq(int_one,X7)&int_leq(X7,X1)))<=(int_leq(int_zero,X8)&X2=plus(X1,X8)))&![X8]:((plus(X2,X8)=X1&int_less(int_zero,X8))=>![X7]:((int_leq(int_one,X7)&int_leq(X7,X2))=>real_zero=a(plus(X7,X8),X7)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', qiu)). 0.14/0.52 fof(plus_and_inverse, axiom, (![X1]:![X2]:(int_less(X1,X2)<=>?[X7]:(X2=plus(X1,X7)&int_less(int_zero,X7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', plus_and_inverse)). 0.14/0.52 fof(c_0_6, negated_conjecture, (~(![X1]:![X2]:(a(X1,X2)=real_zero<=((int_less(X2,X1)&int_leq(X1,n))&int_leq(int_one,X2))))), inference(assume_negation,[status(cth)],[ut])). 0.14/0.52 fof(c_0_7, plain, (![X3]:![X4]:![X3]:![X4]:((~int_leq(X3,X4)|(int_less(X3,X4)|X3=X4))&((~int_less(X3,X4)|int_leq(X3,X4))&(X3!=X4|int_leq(X3,X4))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int_leq])])])])])). 0.14/0.52 fof(c_0_8, negated_conjecture, ((((int_less(esk3_0,esk2_0)&int_leq(esk2_0,n))&int_leq(int_one,esk3_0))&a(esk2_0,esk3_0)!=real_zero)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])])). 0.14/0.52 fof(c_0_9, plain, (![X8]:![X9]:![X10]:((~int_less(X9,X10)|~int_less(X8,X9))|int_less(X8,X10))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[int_less_transitive])])])). 0.14/0.52 fof(c_0_10, plain, (![X2]:![X2]:((~int_leq(int_one,X2)|int_less(int_zero,X2))&(~int_less(int_zero,X2)|int_leq(int_one,X2)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_successor_of_zero])])])])). 0.14/0.52 cnf(c_0_11,plain,(X1=X2|int_less(X1,X2)|~int_leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.14/0.52 cnf(c_0_12,negated_conjecture,(int_leq(esk2_0,n)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.14/0.52 fof(c_0_13, hypothesis, (![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:((((~int_leq(int_zero,X11)|X10!=plus(X9,X11))|((~int_leq(int_one,X12)|~int_leq(X12,X9))|lu(X12,plus(X12,X11))=a(X12,plus(X12,X11))))|(((~int_leq(int_one,X9)|~int_leq(int_one,X10))|~int_leq(X10,n))|~int_leq(X9,n)))&(((plus(X10,X13)!=X9|~int_less(int_zero,X13))|((~int_leq(int_one,X14)|~int_leq(X14,X10))|real_zero=a(plus(X14,X13),X14)))|(((~int_leq(int_one,X9)|~int_leq(int_one,X10))|~int_leq(X10,n))|~int_leq(X9,n))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[qiu])])])])])])])). 0.14/0.52 cnf(c_0_14,plain,(int_leq(X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_7])). 0.14/0.52 fof(c_0_15, plain, (![X8]:![X9]:![X8]:![X9]:![X11]:(((X9=plus(X8,esk1_2(X8,X9))|~int_less(X8,X9))&(int_less(int_zero,esk1_2(X8,X9))|~int_less(X8,X9)))&((X9!=plus(X8,X11)|~int_less(int_zero,X11))|int_less(X8,X9)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[plus_and_inverse])])])])])])])). 0.14/0.52 cnf(c_0_16,plain,(int_less(X1,X2)|~int_less(X1,X3)|~int_less(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.14/0.52 cnf(c_0_17,negated_conjecture,(int_less(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.14/0.52 cnf(c_0_18,plain,(int_less(int_zero,X1)|~int_leq(int_one,X1)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.14/0.52 cnf(c_0_19,negated_conjecture,(int_leq(int_one,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.14/0.52 cnf(c_0_20,negated_conjecture,(esk2_0=n|int_less(esk2_0,n)), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.14/0.52 cnf(c_0_21,hypothesis,(real_zero=a(plus(X3,X4),X3)|~int_leq(X1,n)|~int_leq(X2,n)|~int_leq(int_one,X2)|~int_leq(int_one,X1)|~int_leq(X3,X2)|~int_leq(int_one,X3)|~int_less(int_zero,X4)|plus(X2,X4)!=X1), inference(split_conjunct,[status(thm)],[c_0_13])). 0.14/0.52 cnf(c_0_22,plain,(int_leq(X1,X1)), inference(er,[status(thm)],[c_0_14])). 0.14/0.52 cnf(c_0_23,plain,(X2=plus(X1,esk1_2(X1,X2))|~int_less(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])). 0.14/0.52 cnf(c_0_24,plain,(int_less(int_zero,esk1_2(X1,X2))|~int_less(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])). 0.14/0.52 cnf(c_0_25,negated_conjecture,(int_less(X1,esk2_0)|~int_less(X1,esk3_0)), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.14/0.52 cnf(c_0_26,negated_conjecture,(int_less(int_zero,esk3_0)), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.14/0.52 cnf(c_0_27,negated_conjecture,(esk2_0=n|int_less(X1,n)|~int_less(X1,esk2_0)), inference(spm,[status(thm)],[c_0_16, c_0_20])). 0.14/0.52 cnf(c_0_28,hypothesis,(a(plus(X1,X2),X1)=real_zero|plus(X1,X2)!=X3|~int_less(int_zero,X2)|~int_leq(X1,n)|~int_leq(X3,n)|~int_leq(int_one,X1)|~int_leq(int_one,X3)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.14/0.52 cnf(c_0_29,negated_conjecture,(plus(esk3_0,esk1_2(esk3_0,esk2_0))=esk2_0), inference(spm,[status(thm)],[c_0_23, c_0_17])). 0.14/0.52 cnf(c_0_30,negated_conjecture,(int_less(int_zero,esk1_2(esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_24, c_0_17])). 0.14/0.52 cnf(c_0_31,negated_conjecture,(a(esk2_0,esk3_0)!=real_zero), inference(split_conjunct,[status(thm)],[c_0_8])). 0.14/0.52 cnf(c_0_32,plain,(int_leq(int_one,X1)|~int_less(int_zero,X1)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.14/0.52 cnf(c_0_33,negated_conjecture,(int_less(int_zero,esk2_0)), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.14/0.52 cnf(c_0_34,plain,(int_leq(X1,X2)|~int_less(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.14/0.52 cnf(c_0_35,negated_conjecture,(esk2_0=n|int_less(esk3_0,n)), inference(spm,[status(thm)],[c_0_27, c_0_17])). 0.14/0.52 cnf(c_0_36,negated_conjecture,(esk2_0!=X1|~int_leq(esk3_0,n)|~int_leq(X1,n)|~int_leq(int_one,X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_19])]), c_0_31])). 0.14/0.52 cnf(c_0_37,negated_conjecture,(int_leq(int_one,esk2_0)), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.14/0.52 cnf(c_0_38,negated_conjecture,(esk2_0=n|int_leq(esk3_0,n)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.14/0.52 cnf(c_0_39,negated_conjecture,(~int_leq(esk3_0,n)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_12]), c_0_37])])). 0.14/0.52 cnf(c_0_40,negated_conjecture,(int_leq(esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_34, c_0_17])). 0.14/0.52 cnf(c_0_41,negated_conjecture,(esk2_0=n), inference(sr,[status(thm)],[c_0_38, c_0_39])). 0.14/0.52 cnf(c_0_42,negated_conjecture,($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41]), c_0_39]), ['proof']). 0.14/0.52 % SZS output end Proof 0.14/0.52 % User time : 0.026 s 0.14/0.52 % System time : 0.004 s 0.14/0.52 % Total time : 0.030 s 0.14/0.52 0.14/0.55 EOF