0.00/0.04 % 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 : n002.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 04:32:39 CDT 2018 0.03/0.23 % CPUTime : 0.07/0.30 openjdk version "1.8.0_144" 0.07/0.30 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.07/0.30 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.42 start to proof:theBenchmark.p 3.10/3.25 % Version : CSE_E---1.0 3.10/3.25 % Problem : theBenchmark.p 3.10/3.25 % Proof found! 3.10/3.25 % SZS status Theorem for theBenchmark.p 3.10/3.25 % SZS output start Proof 3.10/3.25 fof(corollary_2_6_1, conjecture, (![X2]:![X4]:![X7]:![X3]:(part_of(sum(X2,X4),sum(X2,X7))<=((meet(X3,X2,X4)&meet(X3,X2,X7))&part_of(X4,X7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', corollary_2_6_1)). 3.10/3.25 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/sandbox/benchmark/Axioms/GEO004+0.ax', sum_defn)). 3.10/3.25 fof(part_of_defn, axiom, (![X1]:![X2]:(![X3]:(incident_c(X3,X2)=>incident_c(X3,X1))<=>part_of(X2,X1))), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax', part_of_defn)). 3.10/3.25 fof(c_0_3, negated_conjecture, (~(![X2]:![X4]:![X7]:![X3]:(part_of(sum(X2,X4),sum(X2,X7))<=((meet(X3,X2,X4)&meet(X3,X2,X7))&part_of(X4,X7))))), inference(assume_negation,[status(cth)],[corollary_2_6_1])). 3.10/3.25 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])])])])])])])). 3.10/3.25 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])])])])])])])). 3.10/3.25 fof(c_0_6, negated_conjecture, ((((meet(esk17_0,esk14_0,esk15_0)&meet(esk17_0,esk14_0,esk16_0))&part_of(esk15_0,esk16_0))&~part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0)))), inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])). 3.10/3.25 cnf(c_0_7,plain,(incident_c(X4,X3)|sum(X1,X2)!=X3|~incident_c(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_4])). 3.10/3.25 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])). 3.10/3.25 cnf(c_0_9,negated_conjecture,(part_of(esk15_0,esk16_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 3.10/3.25 cnf(c_0_10,plain,(part_of(X1,X2)|~incident_c(esk7_2(X2,X1),X2)), inference(split_conjunct,[status(thm)],[c_0_5])). 3.10/3.25 cnf(c_0_11,plain,(incident_c(X1,sum(X2,X3))|~incident_c(X1,X3)), inference(er,[status(thm)],[c_0_7])). 3.10/3.25 cnf(c_0_12,negated_conjecture,(incident_c(X1,esk16_0)|~incident_c(X1,esk15_0)), inference(spm,[status(thm)],[c_0_8, c_0_9])). 3.10/3.25 cnf(c_0_13,plain,(part_of(X1,X2)|incident_c(esk7_2(X2,X1),X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 3.10/3.25 cnf(c_0_14,plain,(part_of(X1,sum(X2,X3))|~incident_c(esk7_2(sum(X2,X3),X1),X3)), inference(spm,[status(thm)],[c_0_10, c_0_11])). 3.10/3.25 cnf(c_0_15,negated_conjecture,(part_of(esk15_0,X1)|incident_c(esk7_2(X1,esk15_0),esk16_0)), inference(spm,[status(thm)],[c_0_12, c_0_13])). 3.10/3.25 cnf(c_0_16,negated_conjecture,(part_of(esk15_0,sum(X1,esk16_0))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 3.10/3.25 cnf(c_0_17,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])). 3.10/3.25 cnf(c_0_18,plain,(incident_c(X4,X3)|sum(X1,X2)!=X3|~incident_c(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_4])). 3.10/3.25 cnf(c_0_19,negated_conjecture,(incident_c(X1,sum(X2,esk16_0))|~incident_c(X1,esk15_0)), inference(spm,[status(thm)],[c_0_8, c_0_16])). 3.10/3.25 cnf(c_0_20,plain,(incident_c(X1,X2)|incident_c(X1,X3)|~incident_c(X1,sum(X3,X2))), inference(er,[status(thm)],[c_0_17])). 3.10/3.25 cnf(c_0_21,plain,(incident_c(X1,sum(X2,X3))|~incident_c(X1,X2)), inference(er,[status(thm)],[c_0_18])). 3.10/3.25 cnf(c_0_22,negated_conjecture,(part_of(X1,sum(X2,esk16_0))|~incident_c(esk7_2(sum(X2,esk16_0),X1),esk15_0)), inference(spm,[status(thm)],[c_0_10, c_0_19])). 3.10/3.25 cnf(c_0_23,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_20, c_0_13])). 3.10/3.25 cnf(c_0_24,plain,(part_of(X1,sum(X2,X3))|~incident_c(esk7_2(sum(X2,X3),X1),X2)), inference(spm,[status(thm)],[c_0_10, c_0_21])). 3.10/3.25 cnf(c_0_25,negated_conjecture,(part_of(sum(X1,esk15_0),sum(X2,esk16_0))|incident_c(esk7_2(sum(X2,esk16_0),sum(X1,esk15_0)),X1)), inference(spm,[status(thm)],[c_0_22, c_0_23])). 3.10/3.25 cnf(c_0_26,negated_conjecture,(~part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0))), inference(split_conjunct,[status(thm)],[c_0_6])). 3.10/3.25 cnf(c_0_27,negated_conjecture,(part_of(sum(X1,esk15_0),sum(X1,esk16_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 3.10/3.25 cnf(c_0_28,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])]), ['proof']). 3.10/3.25 % SZS output end Proof 3.10/3.25 % User time : 2.691 s 3.10/3.25 % System time : 0.055 s 3.10/3.25 % Total time : 2.747 s 3.10/3.25 3.10/3.27 EOF