0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -jar mcs_epr.jar %d %s 0.03/0.23 % Computer : n014.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 04:35:24 CDT 2018 0.03/0.23 % CPUTime : 0.06/0.30 openjdk version "1.8.0_144" 0.06/0.30 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.06/0.30 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.42 start to proof:theBenchmark.p 2.31/2.44 % Version : CSE_E---1.0 2.31/2.44 % Problem : theBenchmark.p 2.31/2.44 % Proof found! 2.31/2.44 % SZS status Theorem for theBenchmark.p 2.31/2.44 % SZS output start Proof 2.31/2.44 fof(corollary_2_6_2, conjecture, (![X2]:![X4]:![X7]:![X3]:(((part_of(X2,X7)&meet(X3,X2,X4))&part_of(X4,X7))=>part_of(sum(X2,X4),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', corollary_2_6_2)). 2.31/2.44 fof(sum_defn, axiom, (![X1]:![X2]:![X4]:(sum(X2,X4)=X1<=>![X5]:((incident_c(X5,X2)|incident_c(X5,X4))<=>incident_c(X5,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', sum_defn)). 2.31/2.44 fof(part_of_defn, axiom, (![X1]:![X2]:(![X3]:(incident_c(X3,X2)=>incident_c(X3,X1))<=>part_of(X2,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', part_of_defn)). 2.31/2.44 fof(c_0_3, negated_conjecture, (~(![X2]:![X4]:![X7]:![X3]:(((part_of(X2,X7)&meet(X3,X2,X4))&part_of(X4,X7))=>part_of(sum(X2,X4),X7)))), inference(assume_negation,[status(cth)],[corollary_2_6_2])). 2.31/2.44 fof(c_0_4, plain, (![X6]:![X7]:![X8]:![X9]:![X9]:![X6]:![X7]:![X8]:(((((~incident_c(X9,X7)|incident_c(X9,X6))|sum(X7,X8)!=X6)&((~incident_c(X9,X8)|incident_c(X9,X6))|sum(X7,X8)!=X6))&((~incident_c(X9,X6)|(incident_c(X9,X7)|incident_c(X9,X8)))|sum(X7,X8)!=X6))&((((~incident_c(esk2_3(X6,X7,X8),X7)|~incident_c(esk2_3(X6,X7,X8),X6))|sum(X7,X8)=X6)&((~incident_c(esk2_3(X6,X7,X8),X8)|~incident_c(esk2_3(X6,X7,X8),X6))|sum(X7,X8)=X6))&(((incident_c(esk2_3(X6,X7,X8),X7)|incident_c(esk2_3(X6,X7,X8),X8))|incident_c(esk2_3(X6,X7,X8),X6))|sum(X7,X8)=X6)))), 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)],[sum_defn])])])])])])])). 2.31/2.44 fof(c_0_5, plain, (![X4]:![X5]:![X4]:![X5]:![X7]:(((incident_c(esk7_2(X4,X5),X5)|part_of(X5,X4))&(~incident_c(esk7_2(X4,X5),X4)|part_of(X5,X4)))&(~part_of(X5,X4)|(~incident_c(X7,X5)|incident_c(X7,X4))))), 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)],[part_of_defn])])])])])])])). 2.31/2.44 fof(c_0_6, negated_conjecture, ((((part_of(esk14_0,esk16_0)&meet(esk17_0,esk14_0,esk15_0))&part_of(esk15_0,esk16_0))&~part_of(sum(esk14_0,esk15_0),esk16_0))), inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])). 2.31/2.44 cnf(c_0_7,plain,(incident_c(X4,X3)|sum(X1,X2)!=X3|~incident_c(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_4])). 2.31/2.44 cnf(c_0_8,plain,(incident_c(X1,X2)|~incident_c(X1,X3)|~part_of(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_5])). 2.31/2.44 cnf(c_0_9,negated_conjecture,(part_of(esk15_0,esk16_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 2.31/2.44 cnf(c_0_10,negated_conjecture,(part_of(esk14_0,esk16_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 2.31/2.44 cnf(c_0_11,plain,(part_of(X1,X2)|~incident_c(esk7_2(X2,X1),X2)), inference(split_conjunct,[status(thm)],[c_0_5])). 2.31/2.44 cnf(c_0_12,plain,(incident_c(X1,sum(X2,X3))|~incident_c(X1,X2)), inference(er,[status(thm)],[c_0_7])). 2.31/2.44 cnf(c_0_13,negated_conjecture,(incident_c(X1,esk16_0)|~incident_c(X1,esk15_0)), inference(spm,[status(thm)],[c_0_8, c_0_9])). 2.31/2.44 cnf(c_0_14,plain,(part_of(X1,X2)|incident_c(esk7_2(X2,X1),X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 2.31/2.44 cnf(c_0_15,negated_conjecture,(incident_c(X1,esk16_0)|~incident_c(X1,esk14_0)), inference(spm,[status(thm)],[c_0_8, c_0_10])). 2.31/2.44 cnf(c_0_16,plain,(part_of(X1,sum(X2,X3))|~incident_c(esk7_2(sum(X2,X3),X1),X2)), inference(spm,[status(thm)],[c_0_11, c_0_12])). 2.31/2.44 cnf(c_0_17,negated_conjecture,(part_of(esk15_0,X1)|incident_c(esk7_2(X1,esk15_0),esk16_0)), inference(spm,[status(thm)],[c_0_13, c_0_14])). 2.31/2.44 cnf(c_0_18,plain,(sum(X1,X2)=X3|incident_c(esk2_3(X3,X1,X2),X3)|incident_c(esk2_3(X3,X1,X2),X2)|incident_c(esk2_3(X3,X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_4])). 2.31/2.44 cnf(c_0_19,negated_conjecture,(part_of(esk14_0,X1)|incident_c(esk7_2(X1,esk14_0),esk16_0)), inference(spm,[status(thm)],[c_0_15, c_0_14])). 2.31/2.44 cnf(c_0_20,negated_conjecture,(part_of(esk15_0,sum(esk16_0,X1))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 2.31/2.44 cnf(c_0_21,plain,(sum(X1,X1)=X2|incident_c(esk2_3(X2,X1,X1),X2)|incident_c(esk2_3(X2,X1,X1),X1)), inference(ef,[status(thm)],[c_0_18])). 2.31/2.44 cnf(c_0_22,negated_conjecture,(part_of(esk14_0,sum(esk16_0,X1))), inference(spm,[status(thm)],[c_0_16, c_0_19])). 2.31/2.44 cnf(c_0_23,negated_conjecture,(incident_c(X1,sum(esk16_0,X2))|~incident_c(X1,esk15_0)), inference(spm,[status(thm)],[c_0_8, c_0_20])). 2.31/2.44 cnf(c_0_24,plain,(sum(X1,X2)=X3|~incident_c(esk2_3(X3,X1,X2),X3)|~incident_c(esk2_3(X3,X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_4])). 2.31/2.44 cnf(c_0_25,plain,(sum(X1,X1)=X1|incident_c(esk2_3(X1,X1,X1),X1)), inference(ef,[status(thm)],[c_0_21])). 2.31/2.44 cnf(c_0_26,plain,(incident_c(X4,X2)|incident_c(X4,X1)|sum(X1,X2)!=X3|~incident_c(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_4])). 2.31/2.44 cnf(c_0_27,negated_conjecture,(incident_c(X1,sum(esk16_0,X2))|~incident_c(X1,esk14_0)), inference(spm,[status(thm)],[c_0_8, c_0_22])). 2.31/2.44 cnf(c_0_28,negated_conjecture,(part_of(X1,sum(esk16_0,X2))|~incident_c(esk7_2(sum(esk16_0,X2),X1),esk15_0)), inference(spm,[status(thm)],[c_0_11, c_0_23])). 2.31/2.44 cnf(c_0_29,plain,(sum(X1,X1)=X1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_25])). 2.31/2.44 cnf(c_0_30,plain,(incident_c(X1,X2)|incident_c(X1,X3)|~incident_c(X1,sum(X3,X2))), inference(er,[status(thm)],[c_0_26])). 2.31/2.44 cnf(c_0_31,negated_conjecture,(part_of(X1,sum(esk16_0,X2))|~incident_c(esk7_2(sum(esk16_0,X2),X1),esk14_0)), inference(spm,[status(thm)],[c_0_11, c_0_27])). 2.31/2.44 cnf(c_0_32,negated_conjecture,(part_of(X1,esk16_0)|~incident_c(esk7_2(esk16_0,X1),esk15_0)), inference(spm,[status(thm)],[c_0_28, c_0_29])). 2.31/2.44 cnf(c_0_33,plain,(part_of(sum(X1,X2),X3)|incident_c(esk7_2(X3,sum(X1,X2)),X1)|incident_c(esk7_2(X3,sum(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_30, c_0_14])). 2.31/2.44 cnf(c_0_34,negated_conjecture,(part_of(X1,esk16_0)|~incident_c(esk7_2(esk16_0,X1),esk14_0)), inference(spm,[status(thm)],[c_0_31, c_0_29])). 2.31/2.44 cnf(c_0_35,negated_conjecture,(part_of(sum(X1,esk15_0),esk16_0)|incident_c(esk7_2(esk16_0,sum(X1,esk15_0)),X1)), inference(spm,[status(thm)],[c_0_32, c_0_33])). 2.31/2.44 cnf(c_0_36,negated_conjecture,(~part_of(sum(esk14_0,esk15_0),esk16_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 2.31/2.44 cnf(c_0_37,negated_conjecture,($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36]), ['proof']). 2.31/2.44 % SZS output end Proof 2.31/2.44 % User time : 1.895 s 2.31/2.44 % System time : 0.051 s 2.31/2.44 % Total time : 1.946 s 2.31/2.44 2.31/2.47 EOF