0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : eprover --auto -s --tableau=1 [--tableau-equality=1] --tableau-depth=10 %s 0.12/0.34 % Computer : n006.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Thu Jul 2 08:35:30 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.34 % Running in FOF/CNF-non-UEQ mode 0.12/0.39 # No SInE strategy applied 0.12/0.39 # Auto-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 0.12/0.39 # and selection function SelectMaxLComplexAvoidPosPred. 0.12/0.39 # 0.12/0.39 # Number of axioms: 139 Number of unprocessed: 139 0.12/0.39 # Tableaux proof search. 0.12/0.39 # 139 beginning clauses after preprocessing and clausification 0.12/0.39 # Creating start rules for all conjectures. 0.12/0.39 # 6 unit axioms, 5 start rules, and 133 other extension candidates. 0.12/0.39 ###### Beginning tableaux proof search with 5 start rule applications. 65.56/65.92 # Beginning deep saturation check 67.98/68.33 # Beginning deep saturation check 67.98/68.33 # Saturate returned empty clause 0x9e14eb00. 67.98/68.33 # Success 67.98/68.33 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 67.98/68.33 # SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 67.98/68.33 # Begin clausification derivation 67.98/68.33 fof(thIV7, conjecture, ![X6, X5, X2, X3]:(least_upper_bound(X3,unordered_pair(X2,X3),X6,X5)<=(((order(X6,X5)&member(X3,X5))&apply(X6,X2,X3))&member(X2,X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV7)). 67.98/68.33 fof(greatest_lower_bound, axiom, ![X2, X1, X6, X5]:(greatest_lower_bound(X2,X1,X6,X5)<=>((member(X2,X1)&lower_bound(X2,X6,X1))&![X7]:((lower_bound(X7,X6,X1)&member(X7,X5))=>apply(X6,X7,X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', greatest_lower_bound)). 67.98/68.33 fof(least_upper_bound, axiom, ![X2, X1, X6, X5]:(((member(X2,X1)&upper_bound(X2,X6,X1))&![X7]:(apply(X6,X2,X7)<=(member(X7,X5)&upper_bound(X7,X6,X1))))<=>least_upper_bound(X2,X1,X6,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', least_upper_bound)). 67.98/68.33 fof(order, axiom, ![X6, X5]:(((![X1, X4, X8]:((apply(X6,X1,X8)<=(apply(X6,X4,X8)&apply(X6,X1,X4)))<=((member(X4,X5)&member(X1,X5))&member(X8,X5)))&![X1]:(apply(X6,X1,X1)<=member(X1,X5)))&![X1, X4]:((member(X1,X5)&member(X4,X5))=>(X1=X4<=(apply(X6,X1,X4)&apply(X6,X4,X1)))))<=>order(X6,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', order)). 67.98/68.33 fof(greatest, axiom, ![X6, X5, X7]:(greatest(X7,X6,X5)<=>(![X1]:(member(X1,X5)=>apply(X6,X1,X7))&member(X7,X5))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', greatest)). 67.98/68.33 fof(least, axiom, ![X6, X5, X7]:(least(X7,X6,X5)<=>(![X1]:(member(X1,X5)=>apply(X6,X7,X1))&member(X7,X5))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', least)). 67.98/68.33 fof(upper_bound, axiom, ![X6, X5, X7]:(![X1]:(member(X1,X5)=>apply(X6,X1,X7))<=>upper_bound(X7,X6,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', upper_bound)). 67.98/68.33 fof(lower_bound, axiom, ![X6, X5, X7]:(lower_bound(X7,X6,X5)<=>![X1]:(member(X1,X5)=>apply(X6,X7,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', lower_bound)). 67.98/68.33 fof(min, axiom, ![X6, X5, X7]:((![X1]:((member(X1,X5)&apply(X6,X1,X7))=>X1=X7)&member(X7,X5))<=>min(X7,X6,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', min)). 67.98/68.33 fof(max, axiom, ![X6, X5, X7]:((![X1]:(X1=X7<=(apply(X6,X7,X1)&member(X1,X5)))&member(X7,X5))<=>max(X7,X6,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', max)). 67.98/68.33 fof(total_order, axiom, ![X6, X5]:(total_order(X6,X5)<=>(order(X6,X5)&![X1, X4]:((apply(X6,X1,X4)|apply(X6,X4,X1))<=(member(X4,X5)&member(X1,X5))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', total_order)). 67.98/68.33 fof(union, axiom, ![X1, X2, X3]:((member(X1,X3)|member(X1,X2))<=>member(X1,union(X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)). 67.98/68.33 fof(difference, axiom, ![X3, X2, X5]:(member(X3,difference(X5,X2))<=>(member(X3,X5)&~(member(X3,X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)). 67.98/68.33 fof(intersection, axiom, ![X1, X2, X3]:((member(X1,X2)&member(X1,X3))<=>member(X1,intersection(X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)). 67.98/68.33 fof(product, axiom, ![X1, X2]:(![X4]:(member(X1,X4)<=member(X4,X2))<=>member(X1,product(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', product)). 67.98/68.33 fof(subset, axiom, ![X2, X3]:(subset(X2,X3)<=>![X1]:(member(X1,X3)<=member(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)). 67.98/68.33 fof(sum, axiom, ![X1, X2]:(member(X1,sum(X2))<=>?[X4]:(member(X4,X2)&member(X1,X4))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', sum)). 67.98/68.33 fof(unordered_pair, axiom, ![X1, X2, X3]:((X3=X1|X1=X2)<=>member(X1,unordered_pair(X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', unordered_pair)). 67.98/68.33 fof(equal_set, axiom, ![X2, X3]:((subset(X2,X3)&subset(X3,X2))<=>equal_set(X2,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)). 67.98/68.33 fof(power_set, axiom, ![X1, X2]:(member(X1,power_set(X2))<=>subset(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', power_set)). 67.98/68.33 fof(singleton, axiom, ![X1, X2]:(member(X1,singleton(X2))<=>X2=X1), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', singleton)). 67.98/68.33 fof(empty_set, axiom, ![X1]:~(member(X1,empty_set)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)). 67.98/68.33 fof(c_0_22, negated_conjecture, ~(![X6, X5, X2, X3]:(least_upper_bound(X3,unordered_pair(X2,X3),X6,X5)<=(((order(X6,X5)&member(X3,X5))&apply(X6,X2,X3))&member(X2,X5)))), inference(assume_negation,[status(cth)],[thIV7])). 67.98/68.33 fof(c_0_23, plain, ![X128, X129, X130, X131, X132, X133, X134, X135, X136]:((((member(X128,X129)|~greatest_lower_bound(X128,X129,X130,X131))&(lower_bound(X128,X130,X129)|~greatest_lower_bound(X128,X129,X130,X131)))&(~lower_bound(X132,X130,X129)|~member(X132,X131)|apply(X130,X132,X128)|~greatest_lower_bound(X128,X129,X130,X131)))&(((lower_bound(esk19_4(X133,X134,X135,X136),X135,X134)|(~member(X133,X134)|~lower_bound(X133,X135,X134))|greatest_lower_bound(X133,X134,X135,X136))&(member(esk19_4(X133,X134,X135,X136),X136)|(~member(X133,X134)|~lower_bound(X133,X135,X134))|greatest_lower_bound(X133,X134,X135,X136)))&(~apply(X135,esk19_4(X133,X134,X135,X136),X133)|(~member(X133,X134)|~lower_bound(X133,X135,X134))|greatest_lower_bound(X133,X134,X135,X136)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[greatest_lower_bound])])])])])])). 67.98/68.33 fof(c_0_24, plain, ![X54, X55, X56, X57, X59, X60, X61, X62, X63]:((((member(esk5_4(X54,X55,X56,X57),X57)|(~member(X54,X55)|~upper_bound(X54,X56,X55))|least_upper_bound(X54,X55,X56,X57))&(upper_bound(esk5_4(X54,X55,X56,X57),X56,X55)|(~member(X54,X55)|~upper_bound(X54,X56,X55))|least_upper_bound(X54,X55,X56,X57)))&(~apply(X56,X54,esk5_4(X54,X55,X56,X57))|(~member(X54,X55)|~upper_bound(X54,X56,X55))|least_upper_bound(X54,X55,X56,X57)))&(((member(X59,X60)|~least_upper_bound(X59,X60,X61,X62))&(upper_bound(X59,X61,X60)|~least_upper_bound(X59,X60,X61,X62)))&(~member(X63,X62)|~upper_bound(X63,X61,X60)|apply(X61,X59,X63)|~least_upper_bound(X59,X60,X61,X62)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[least_upper_bound])])])])])])])). 67.98/68.33 fof(c_0_25, plain, ![X88, X89, X96, X97, X98, X99, X100, X101, X102, X103]:((((((((member(esk13_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|member(esk10_2(X88,X89),X89))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|member(esk10_2(X88,X89),X89))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(member(esk12_2(X88,X89),X89)|member(esk10_2(X88,X89),X89))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(member(esk12_2(X88,X89),X89)|member(esk10_2(X88,X89),X89))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(member(esk12_2(X88,X89),X89)|member(esk10_2(X88,X89),X89))|order(X88,X89))))&(((member(esk13_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk10_2(X88,X89),X89))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk10_2(X88,X89),X89))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk10_2(X88,X89),X89))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk10_2(X88,X89),X89))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk10_2(X88,X89),X89))|order(X88,X89)))))&((((member(esk13_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|member(esk9_2(X88,X89),X89))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|member(esk9_2(X88,X89),X89))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(member(esk12_2(X88,X89),X89)|member(esk9_2(X88,X89),X89))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(member(esk12_2(X88,X89),X89)|member(esk9_2(X88,X89),X89))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(member(esk12_2(X88,X89),X89)|member(esk9_2(X88,X89),X89))|order(X88,X89))))&(((member(esk13_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk9_2(X88,X89),X89))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk9_2(X88,X89),X89))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk9_2(X88,X89),X89))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk9_2(X88,X89),X89))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk9_2(X88,X89),X89))|order(X88,X89))))))&((((member(esk13_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|member(esk11_2(X88,X89),X89))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|member(esk11_2(X88,X89),X89))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(member(esk12_2(X88,X89),X89)|member(esk11_2(X88,X89),X89))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(member(esk12_2(X88,X89),X89)|member(esk11_2(X88,X89),X89))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(member(esk12_2(X88,X89),X89)|member(esk11_2(X88,X89),X89))|order(X88,X89))))&(((member(esk13_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk11_2(X88,X89),X89))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk11_2(X88,X89),X89))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk11_2(X88,X89),X89))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk11_2(X88,X89),X89))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|member(esk11_2(X88,X89),X89))|order(X88,X89))))))&((((((member(esk13_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(member(esk12_2(X88,X89),X89)|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(member(esk12_2(X88,X89),X89)|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(member(esk12_2(X88,X89),X89)|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))))&(((member(esk13_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk10_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))))&((((member(esk13_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(member(esk12_2(X88,X89),X89)|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(member(esk12_2(X88,X89),X89)|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(member(esk12_2(X88,X89),X89)|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89))))&(((member(esk13_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|apply(X88,esk9_2(X88,X89),esk10_2(X88,X89)))|order(X88,X89))))))&((((member(esk13_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(member(esk12_2(X88,X89),X89)|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(member(esk12_2(X88,X89),X89)|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(member(esk12_2(X88,X89),X89)|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(member(esk12_2(X88,X89),X89)|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))))&(((member(esk13_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(member(esk14_2(X88,X89),X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(((apply(X88,esk13_2(X88,X89),esk14_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89))&(apply(X88,esk14_2(X88,X89),esk13_2(X88,X89))|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))&(esk13_2(X88,X89)!=esk14_2(X88,X89)|(~apply(X88,esk12_2(X88,X89),esk12_2(X88,X89))|~apply(X88,esk9_2(X88,X89),esk11_2(X88,X89)))|order(X88,X89)))))))&(((~member(X99,X97)|~member(X98,X97)|~member(X100,X97)|(~apply(X96,X99,X100)|~apply(X96,X98,X99)|apply(X96,X98,X100))|~order(X96,X97))&(~member(X101,X97)|apply(X96,X101,X101)|~order(X96,X97)))&(~member(X102,X97)|~member(X103,X97)|(~apply(X96,X102,X103)|~apply(X96,X103,X102)|X102=X103)|~order(X96,X97)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[order])])])])])])])). 67.98/68.33 fof(c_0_26, negated_conjecture, ((((order(esk20_0,esk21_0)&member(esk23_0,esk21_0))&apply(esk20_0,esk22_0,esk23_0))&member(esk22_0,esk21_0))&~least_upper_bound(esk23_0,unordered_pair(esk22_0,esk23_0),esk20_0,esk21_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_22])])])])). 67.98/68.33 fof(c_0_27, plain, ![X64, X65, X66, X67, X68, X69, X70]:(((~member(X67,X65)|apply(X64,X67,X66)|~greatest(X66,X64,X65))&(member(X66,X65)|~greatest(X66,X64,X65)))&((member(esk6_3(X68,X69,X70),X69)|~member(X70,X69)|greatest(X70,X68,X69))&(~apply(X68,esk6_3(X68,X69,X70),X70)|~member(X70,X69)|greatest(X70,X68,X69)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[greatest])])])])])])). 67.98/68.33 fof(c_0_28, plain, ![X104, X105, X106, X107, X108, X109, X110]:(((~member(X107,X105)|apply(X104,X106,X107)|~least(X106,X104,X105))&(member(X106,X105)|~least(X106,X104,X105)))&((member(esk15_3(X108,X109,X110),X109)|~member(X110,X109)|least(X110,X108,X109))&(~apply(X108,X110,esk15_3(X108,X109,X110))|~member(X110,X109)|least(X110,X108,X109)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[least])])])])])])). 67.98/68.33 fof(c_0_29, plain, ![X112, X113, X114, X116, X117, X118, X119]:(((member(esk16_3(X112,X113,X114),X113)|upper_bound(X114,X112,X113))&(~apply(X112,esk16_3(X112,X113,X114),X114)|upper_bound(X114,X112,X113)))&(~upper_bound(X118,X116,X117)|(~member(X119,X117)|apply(X116,X119,X118)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[upper_bound])])])])])])). 67.98/68.33 fof(c_0_30, plain, ![X72, X73, X74, X75, X76, X77, X78]:((~lower_bound(X74,X72,X73)|(~member(X75,X73)|apply(X72,X74,X75)))&((member(esk7_3(X76,X77,X78),X77)|lower_bound(X78,X76,X77))&(~apply(X76,X78,esk7_3(X76,X77,X78))|lower_bound(X78,X76,X77)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[lower_bound])])])])])])). 67.98/68.33 fof(c_0_31, plain, ![X80, X81, X82, X84, X85, X86, X87]:((((member(esk8_3(X80,X81,X82),X81)|~member(X82,X81)|min(X82,X80,X81))&(apply(X80,esk8_3(X80,X81,X82),X82)|~member(X82,X81)|min(X82,X80,X81)))&(esk8_3(X80,X81,X82)!=X82|~member(X82,X81)|min(X82,X80,X81)))&((~member(X87,X85)|~apply(X84,X87,X86)|X87=X86|~min(X86,X84,X85))&(member(X86,X85)|~min(X86,X84,X85)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[min])])])])])])). 67.98/68.33 fof(c_0_32, plain, ![X46, X47, X48, X50, X51, X52, X53]:((((apply(X46,X48,esk4_3(X46,X47,X48))|~member(X48,X47)|max(X48,X46,X47))&(member(esk4_3(X46,X47,X48),X47)|~member(X48,X47)|max(X48,X46,X47)))&(esk4_3(X46,X47,X48)!=X48|~member(X48,X47)|max(X48,X46,X47)))&((~apply(X50,X52,X53)|~member(X53,X51)|X53=X52|~max(X52,X50,X51))&(member(X52,X51)|~max(X52,X50,X51)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[max])])])])])])])). 67.98/68.33 fof(c_0_33, plain, ![X120, X121, X122, X123, X124, X125]:(((order(X120,X121)|~total_order(X120,X121))&(~member(X123,X121)|~member(X122,X121)|(apply(X120,X122,X123)|apply(X120,X123,X122))|~total_order(X120,X121)))&(((member(esk18_2(X124,X125),X125)|~order(X124,X125)|total_order(X124,X125))&(member(esk17_2(X124,X125),X125)|~order(X124,X125)|total_order(X124,X125)))&((~apply(X124,esk17_2(X124,X125),esk18_2(X124,X125))|~order(X124,X125)|total_order(X124,X125))&(~apply(X124,esk18_2(X124,X125),esk17_2(X124,X125))|~order(X124,X125)|total_order(X124,X125))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[total_order])])])])])])])). 67.98/68.33 fof(c_0_34, plain, ![X34, X35, X36]:(((~member(X34,X36)|member(X34,union(X35,X36)))&(~member(X34,X35)|member(X34,union(X35,X36))))&(~member(X34,union(X35,X36))|(member(X34,X36)|member(X34,X35)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])])). 67.98/68.33 fof(c_0_35, plain, ![X18, X19, X20]:(((member(X18,X20)|~member(X18,difference(X20,X19)))&(~member(X18,X19)|~member(X18,difference(X20,X19))))&(~member(X18,X20)|member(X18,X19)|member(X18,difference(X20,X19)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[difference])])])])). 67.98/68.33 fof(c_0_36, plain, ![X9, X10, X11]:((~member(X9,X10)|~member(X9,X11)|member(X9,intersection(X10,X11)))&((member(X9,X10)|~member(X9,intersection(X10,X11)))&(member(X9,X11)|~member(X9,intersection(X10,X11))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])). 67.98/68.33 fof(c_0_37, plain, ![X12, X13, X15, X16, X17]:(((member(esk1_2(X12,X13),X13)|member(X12,product(X13)))&(~member(X12,esk1_2(X12,X13))|member(X12,product(X13))))&(~member(X15,product(X16))|(~member(X17,X16)|member(X15,X17)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[product])])])])])])])). 67.98/68.33 fof(c_0_38, plain, ![X25, X26, X27, X28, X29]:((~subset(X25,X26)|(~member(X27,X25)|member(X27,X26)))&((member(esk2_2(X28,X29),X28)|subset(X28,X29))&(~member(esk2_2(X28,X29),X29)|subset(X28,X29)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[subset])])])])])])])). 67.98/68.33 fof(c_0_39, plain, ![X40, X41, X43, X44, X45]:(((member(esk3_2(X40,X41),X41)|~member(X40,sum(X41)))&(member(X40,esk3_2(X40,X41))|~member(X40,sum(X41))))&(~member(X45,X44)|~member(X43,X45)|member(X43,sum(X44)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sum])])])])])])). 67.98/68.33 fof(c_0_40, plain, ![X37, X38, X39]:(((X39!=X37|member(X37,unordered_pair(X38,X39)))&(X37!=X38|member(X37,unordered_pair(X38,X39))))&(~member(X37,unordered_pair(X38,X39))|(X39=X37|X37=X38))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair])])])). 67.98/68.33 fof(c_0_41, plain, ![X32, X33]:((~subset(X32,X33)|~subset(X33,X32)|equal_set(X32,X33))&((subset(X32,X33)|~equal_set(X32,X33))&(subset(X33,X32)|~equal_set(X32,X33)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])])). 67.98/68.33 fof(c_0_42, plain, ![X21, X22]:((~member(X21,power_set(X22))|subset(X21,X22))&(~subset(X21,X22)|member(X21,power_set(X22)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])])). 67.98/68.33 fof(c_0_43, plain, ![X23, X24]:((~member(X23,singleton(X24))|X24=X23)&(X24!=X23|member(X23,singleton(X24)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[singleton])])). 67.98/68.33 fof(c_0_44, plain, ![X31]:~member(X31,empty_set), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[empty_set])])). 67.98/68.33 cnf(c_0_45, plain, (greatest_lower_bound(X2,X3,X1,X4)|~apply(X1,esk19_4(X2,X3,X1,X4),X2)|~member(X2,X3)|~lower_bound(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 67.98/68.33 cnf(c_0_46, plain, (least_upper_bound(X2,X3,X1,X4)|~apply(X1,X2,esk5_4(X2,X3,X1,X4))|~member(X2,X3)|~upper_bound(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 67.98/68.33 cnf(c_0_47, plain, (lower_bound(esk19_4(X1,X2,X3,X4),X3,X2)|greatest_lower_bound(X1,X2,X3,X4)|~member(X1,X2)|~lower_bound(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 67.98/68.33 cnf(c_0_48, plain, (upper_bound(esk5_4(X1,X2,X3,X4),X3,X2)|least_upper_bound(X1,X2,X3,X4)|~member(X1,X2)|~upper_bound(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 67.98/68.33 cnf(c_0_49, plain, (member(esk19_4(X1,X2,X3,X4),X4)|greatest_lower_bound(X1,X2,X3,X4)|~member(X1,X2)|~lower_bound(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 67.98/68.33 cnf(c_0_50, plain, (member(esk5_4(X1,X2,X3,X4),X4)|least_upper_bound(X1,X2,X3,X4)|~member(X1,X2)|~upper_bound(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 67.98/68.33 cnf(c_0_51, plain, (apply(X2,X1,X5)|~lower_bound(X1,X2,X3)|~member(X1,X4)|~greatest_lower_bound(X5,X3,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 67.98/68.33 cnf(c_0_52, plain, (apply(X3,X5,X1)|~member(X1,X2)|~upper_bound(X1,X3,X4)|~least_upper_bound(X5,X4,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 67.98/68.33 cnf(c_0_53, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_54, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_55, plain, (lower_bound(X1,X2,X3)|~greatest_lower_bound(X1,X3,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 67.98/68.33 cnf(c_0_56, plain, (upper_bound(X1,X2,X3)|~least_upper_bound(X1,X3,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 67.98/68.33 cnf(c_0_57, negated_conjecture, (~least_upper_bound(esk23_0,unordered_pair(esk22_0,esk23_0),esk20_0,esk21_0)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 67.98/68.33 cnf(c_0_58, plain, (member(X1,X2)|~greatest_lower_bound(X1,X2,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 67.98/68.33 cnf(c_0_59, plain, (member(X1,X2)|~least_upper_bound(X1,X2,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 67.98/68.33 cnf(c_0_60, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_61, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_62, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_63, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_64, plain, (order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_65, plain, (member(esk14_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_66, plain, (member(esk13_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_67, plain, (apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_68, plain, (apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_69, plain, (greatest(X3,X1,X2)|~apply(X1,esk6_3(X1,X2,X3),X3)|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_27]), ['final']). 67.98/68.33 cnf(c_0_70, plain, (least(X2,X1,X3)|~apply(X1,X2,esk15_3(X1,X3,X2))|~member(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_28]), ['final']). 67.98/68.33 cnf(c_0_71, plain, (member(esk14_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_72, plain, (member(esk14_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_73, plain, (member(esk13_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_74, plain, (member(esk13_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_75, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk12_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_76, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk12_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_77, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk11_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_78, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk11_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_79, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk10_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_80, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk10_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_81, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk9_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_82, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk9_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_83, plain, (apply(X5,X3,X4)|~member(X1,X2)|~member(X3,X2)|~member(X4,X2)|~apply(X5,X1,X4)|~apply(X5,X3,X1)|~order(X5,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_84, plain, (upper_bound(X3,X1,X2)|~apply(X1,esk16_3(X1,X2,X3),X3)), inference(split_conjunct,[status(thm)],[c_0_29]), ['final']). 67.98/68.33 cnf(c_0_85, plain, (lower_bound(X2,X1,X3)|~apply(X1,X2,esk7_3(X1,X3,X2))), inference(split_conjunct,[status(thm)],[c_0_30]), ['final']). 67.98/68.33 cnf(c_0_86, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_87, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_88, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_89, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_90, plain, (member(esk12_2(X1,X2),X2)|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_91, plain, (member(esk11_2(X1,X2),X2)|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_92, plain, (member(esk10_2(X1,X2),X2)|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_93, plain, (member(esk9_2(X1,X2),X2)|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_94, plain, (member(esk14_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_95, plain, (member(esk13_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_96, plain, (member(esk14_2(X1,X2),X2)|member(esk11_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_97, plain, (member(esk13_2(X1,X2),X2)|member(esk11_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_98, plain, (member(esk14_2(X1,X2),X2)|member(esk10_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_99, plain, (member(esk13_2(X1,X2),X2)|member(esk10_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_100, plain, (member(esk14_2(X1,X2),X2)|member(esk9_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_101, plain, (member(esk13_2(X1,X2),X2)|member(esk9_2(X1,X2),X2)|order(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_102, plain, (X1=X3|~member(X1,X2)|~member(X3,X2)|~apply(X4,X1,X3)|~apply(X4,X3,X1)|~order(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_103, plain, (apply(X1,esk8_3(X1,X2,X3),X3)|min(X3,X1,X2)|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_31]), ['final']). 67.98/68.33 cnf(c_0_104, plain, (apply(X1,X2,esk4_3(X1,X3,X2))|max(X2,X1,X3)|~member(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_32]), ['final']). 67.98/68.33 cnf(c_0_105, plain, (member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_106, plain, (member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_107, plain, (total_order(X1,X2)|~apply(X1,esk18_2(X1,X2),esk17_2(X1,X2))|~order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 67.98/68.33 cnf(c_0_108, plain, (total_order(X1,X2)|~apply(X1,esk17_2(X1,X2),esk18_2(X1,X2))|~order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 67.98/68.33 cnf(c_0_109, plain, (member(esk14_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_110, plain, (member(esk14_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_111, plain, (member(esk13_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_112, plain, (member(esk13_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_113, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk12_2(X1,X2),X2)|member(esk11_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_114, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk12_2(X1,X2),X2)|member(esk11_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_115, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk12_2(X1,X2),X2)|member(esk10_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_116, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk12_2(X1,X2),X2)|member(esk10_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_117, plain, (apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|member(esk12_2(X1,X2),X2)|member(esk9_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_118, plain, (apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk12_2(X1,X2),X2)|member(esk9_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_119, plain, (member(esk15_3(X1,X2,X3),X2)|least(X3,X1,X2)|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_28]), ['final']). 67.98/68.33 cnf(c_0_120, plain, (member(esk8_3(X1,X2,X3),X2)|min(X3,X1,X2)|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_31]), ['final']). 67.98/68.33 cnf(c_0_121, plain, (member(esk6_3(X1,X2,X3),X2)|greatest(X3,X1,X2)|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_27]), ['final']). 67.98/68.33 cnf(c_0_122, plain, (member(esk4_3(X1,X2,X3),X2)|max(X3,X1,X2)|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_32]), ['final']). 67.98/68.33 cnf(c_0_123, plain, (X1=X4|~member(X1,X2)|~apply(X3,X1,X4)|~min(X4,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_31]), ['final']). 67.98/68.33 cnf(c_0_124, plain, (X3=X2|~apply(X1,X2,X3)|~member(X3,X4)|~max(X2,X1,X4)), inference(split_conjunct,[status(thm)],[c_0_32]), ['final']). 67.98/68.33 cnf(c_0_125, plain, (apply(X4,X3,X1)|apply(X4,X1,X3)|~member(X1,X2)|~member(X3,X2)|~total_order(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 67.98/68.33 cnf(c_0_126, plain, (member(esk7_3(X1,X2,X3),X2)|lower_bound(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_30]), ['final']). 67.98/68.33 cnf(c_0_127, plain, (member(esk16_3(X1,X2,X3),X2)|upper_bound(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29]), ['final']). 67.98/68.33 cnf(c_0_128, plain, (min(X3,X1,X2)|esk8_3(X1,X2,X3)!=X3|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_31]), ['final']). 67.98/68.33 cnf(c_0_129, plain, (max(X3,X1,X2)|esk4_3(X1,X2,X3)!=X3|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_32]), ['final']). 67.98/68.33 cnf(c_0_130, plain, (apply(X2,X1,X4)|~lower_bound(X1,X2,X3)|~member(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_30]), ['final']). 67.98/68.33 cnf(c_0_131, plain, (apply(X2,X4,X1)|~upper_bound(X1,X2,X3)|~member(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_29]), ['final']). 67.98/68.33 cnf(c_0_132, plain, (apply(X3,X1,X4)|~member(X1,X2)|~greatest(X4,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_27]), ['final']). 67.98/68.33 cnf(c_0_133, plain, (apply(X3,X4,X1)|~member(X1,X2)|~least(X4,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_28]), ['final']). 67.98/68.33 cnf(c_0_134, plain, (member(esk12_2(X1,X2),X2)|member(esk11_2(X1,X2),X2)|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_135, plain, (member(esk12_2(X1,X2),X2)|member(esk10_2(X1,X2),X2)|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_136, plain, (member(esk12_2(X1,X2),X2)|member(esk9_2(X1,X2),X2)|order(X1,X2)|esk13_2(X1,X2)!=esk14_2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_137, plain, (member(esk14_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk11_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_138, plain, (member(esk13_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk11_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_139, plain, (member(esk14_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk10_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_140, plain, (member(esk13_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk10_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_141, plain, (member(esk14_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk9_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_142, plain, (member(esk13_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk9_2(X1,X2),X2)|order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_143, plain, (member(X1,X2)|~least(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_28]), ['final']). 67.98/68.33 cnf(c_0_144, plain, (member(X1,X2)|~min(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_31]), ['final']). 67.98/68.33 cnf(c_0_145, plain, (member(X1,X2)|~greatest(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_27]), ['final']). 67.98/68.33 cnf(c_0_146, plain, (member(X1,X2)|~max(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_32]), ['final']). 67.98/68.33 cnf(c_0_147, plain, (apply(X3,X1,X1)|~member(X1,X2)|~order(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 67.98/68.33 cnf(c_0_148, plain, (member(X1,X3)|member(X1,X2)|~member(X1,union(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_34]), ['final']). 67.98/68.33 cnf(c_0_149, plain, (~member(X1,X2)|~member(X1,difference(X3,X2))), inference(split_conjunct,[status(thm)],[c_0_35]), ['final']). 67.98/68.33 cnf(c_0_150, plain, (member(X1,intersection(X2,X3))|~member(X1,X2)|~member(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_36]), ['final']). 67.98/68.33 cnf(c_0_151, plain, (member(X1,product(X2))|~member(X1,esk1_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_37]), ['final']). 67.98/68.33 cnf(c_0_152, plain, (subset(X1,X2)|~member(esk2_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_38]), ['final']). 67.98/68.33 cnf(c_0_153, plain, (member(X1,X2)|~member(X1,difference(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_35]), ['final']). 67.98/68.33 cnf(c_0_154, plain, (member(X1,X2)|~member(X1,intersection(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_36]), ['final']). 67.98/68.33 cnf(c_0_155, plain, (member(X1,X2)|~member(X1,intersection(X3,X2))), inference(split_conjunct,[status(thm)],[c_0_36]), ['final']). 67.98/68.33 cnf(c_0_156, plain, (member(esk18_2(X1,X2),X2)|total_order(X1,X2)|~order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 67.98/68.33 cnf(c_0_157, plain, (member(esk17_2(X1,X2),X2)|total_order(X1,X2)|~order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 67.98/68.33 cnf(c_0_158, plain, (member(X1,X3)|member(X1,difference(X2,X3))|~member(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_35]), ['final']). 67.98/68.33 cnf(c_0_159, plain, (member(esk3_2(X1,X2),X2)|~member(X1,sum(X2))), inference(split_conjunct,[status(thm)],[c_0_39]), ['final']). 67.98/68.33 cnf(c_0_160, plain, (member(X1,esk3_2(X1,X2))|~member(X1,sum(X2))), inference(split_conjunct,[status(thm)],[c_0_39]), ['final']). 67.98/68.33 cnf(c_0_161, plain, (member(X1,X3)|~member(X1,product(X2))|~member(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_37]), ['final']). 67.98/68.33 cnf(c_0_162, plain, (X3=X1|X1=X2|~member(X1,unordered_pair(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 67.98/68.33 cnf(c_0_163, plain, (member(X3,sum(X2))|~member(X1,X2)|~member(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_39]), ['final']). 67.98/68.33 cnf(c_0_164, plain, (member(X1,union(X2,X3))|~member(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_34]), ['final']). 67.98/68.33 cnf(c_0_165, plain, (member(X1,union(X3,X2))|~member(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_34]), ['final']). 67.98/68.33 cnf(c_0_166, plain, (member(esk1_2(X1,X2),X2)|member(X1,product(X2))), inference(split_conjunct,[status(thm)],[c_0_37]), ['final']). 67.98/68.33 cnf(c_0_167, plain, (equal_set(X1,X2)|~subset(X1,X2)|~subset(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_41]), ['final']). 67.98/68.33 cnf(c_0_168, plain, (member(X3,X2)|~subset(X1,X2)|~member(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_38]), ['final']). 67.98/68.33 cnf(c_0_169, plain, (member(esk2_2(X1,X2),X1)|subset(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_38]), ['final']). 67.98/68.33 cnf(c_0_170, negated_conjecture, (apply(esk20_0,esk22_0,esk23_0)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 67.98/68.33 cnf(c_0_171, plain, (subset(X1,X2)|~member(X1,power_set(X2))), inference(split_conjunct,[status(thm)],[c_0_42]), ['final']). 67.98/68.33 cnf(c_0_172, plain, (member(X1,unordered_pair(X2,X3))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 67.98/68.33 cnf(c_0_173, plain, (member(X2,unordered_pair(X3,X1))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 67.98/68.33 cnf(c_0_174, plain, (member(X1,power_set(X2))|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42]), ['final']). 67.98/68.33 cnf(c_0_175, plain, (order(X1,X2)|~total_order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 67.98/68.33 cnf(c_0_176, plain, (subset(X1,X2)|~equal_set(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_41]), ['final']). 67.98/68.33 cnf(c_0_177, plain, (subset(X1,X2)|~equal_set(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_41]), ['final']). 67.98/68.33 cnf(c_0_178, plain, (X2=X1|~member(X1,singleton(X2))), inference(split_conjunct,[status(thm)],[c_0_43]), ['final']). 67.98/68.33 cnf(c_0_179, plain, (member(X2,singleton(X1))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_43]), ['final']). 67.98/68.33 cnf(c_0_180, plain, (~member(X1,empty_set)), inference(split_conjunct,[status(thm)],[c_0_44]), ['final']). 67.98/68.33 cnf(c_0_181, negated_conjecture, (order(esk20_0,esk21_0)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 67.98/68.33 cnf(c_0_182, negated_conjecture, (member(esk23_0,esk21_0)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 67.98/68.33 cnf(c_0_183, negated_conjecture, (member(esk22_0,esk21_0)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 67.98/68.33 67.98/68.33 # End clausification derivation 67.98/68.33 # Begin listing active clauses obtained from FOF to CNF conversion 67.98/68.33 cnf(i_0_136, negated_conjecture, (member(esk22_0,esk21_0))). 67.98/68.33 cnf(i_0_138, negated_conjecture, (member(esk23_0,esk21_0))). 67.98/68.33 cnf(i_0_139, negated_conjecture, (order(esk20_0,esk21_0))). 67.98/68.33 cnf(i_0_17, plain, (~member(X1,empty_set))). 67.98/68.33 cnf(i_0_12, plain, (member(X2,singleton(X1))|X1!=X2)). 67.98/68.33 cnf(i_0_13, plain, (X1=X2|~member(X1,singleton(X2)))). 67.98/68.33 cnf(i_0_18, plain, (subset(X1,X2)|~equal_set(X2,X1))). 67.98/68.33 cnf(i_0_19, plain, (subset(X1,X2)|~equal_set(X1,X2))). 67.98/68.33 cnf(i_0_128, plain, (order(X1,X2)|~total_order(X1,X2))). 67.98/68.33 cnf(i_0_10, plain, (member(X1,power_set(X2))|~subset(X1,X2))). 67.98/68.33 cnf(i_0_26, plain, (member(X2,unordered_pair(X3,X1))|X1!=X2)). 67.98/68.33 cnf(i_0_25, plain, (member(X1,unordered_pair(X2,X3))|X1!=X2)). 67.98/68.33 cnf(i_0_11, plain, (subset(X1,X2)|~member(X1,power_set(X2)))). 67.98/68.33 cnf(i_0_137, negated_conjecture, (apply(esk20_0,esk22_0,esk23_0))). 67.98/68.33 cnf(i_0_15, plain, (subset(X1,X2)|member(esk2_2(X1,X2),X1))). 67.98/68.33 cnf(i_0_16, plain, (member(X3,X2)|~member(X3,X1)|~subset(X1,X2))). 67.98/68.33 cnf(i_0_20, plain, (equal_set(X1,X2)|~subset(X2,X1)|~subset(X1,X2))). 67.98/68.33 cnf(i_0_6, plain, (member(X1,product(X2))|member(esk1_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_23, plain, (member(X1,union(X3,X2))|~member(X1,X2))). 67.98/68.33 cnf(i_0_22, plain, (member(X1,union(X2,X3))|~member(X1,X2))). 67.98/68.33 cnf(i_0_27, plain, (member(X3,sum(X2))|~member(X3,X1)|~member(X1,X2))). 67.98/68.33 cnf(i_0_24, plain, (X1=X3|X1=X2|~member(X1,unordered_pair(X2,X3)))). 67.98/68.33 cnf(i_0_4, plain, (member(X1,X3)|~member(X3,X2)|~member(X1,product(X2)))). 67.98/68.33 cnf(i_0_28, plain, (member(X1,esk3_2(X1,X2))|~member(X1,sum(X2)))). 67.98/68.33 cnf(i_0_29, plain, (member(esk3_2(X1,X2),X2)|~member(X1,sum(X2)))). 67.98/68.33 cnf(i_0_7, plain, (member(X1,X3)|member(X1,difference(X2,X3))|~member(X1,X2))). 67.98/68.33 cnf(i_0_125, plain, (total_order(X1,X2)|member(esk17_2(X1,X2),X2)|~order(X1,X2))). 67.98/68.33 cnf(i_0_126, plain, (total_order(X1,X2)|member(esk18_2(X1,X2),X2)|~order(X1,X2))). 67.98/68.33 cnf(i_0_1, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). 67.98/68.33 cnf(i_0_2, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). 67.98/68.33 cnf(i_0_9, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))). 67.98/68.33 cnf(i_0_14, plain, (subset(X1,X2)|~member(esk2_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_5, plain, (member(X1,product(X2))|~member(X1,esk1_2(X1,X2)))). 67.98/68.33 cnf(i_0_3, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))). 67.98/68.33 cnf(i_0_8, plain, (~member(X1,X2)|~member(X1,difference(X3,X2)))). 67.98/68.33 cnf(i_0_21, plain, (member(X1,X3)|member(X1,X2)|~member(X1,union(X2,X3)))). 67.98/68.33 cnf(i_0_54, plain, (apply(X3,X1,X1)|~member(X1,X2)|~order(X3,X2))). 67.98/68.33 cnf(i_0_30, plain, (member(X1,X2)|~max(X1,X3,X2))). 67.98/68.33 cnf(i_0_43, plain, (member(X1,X2)|~greatest(X1,X3,X2))). 67.98/68.33 cnf(i_0_48, plain, (member(X1,X2)|~min(X1,X3,X2))). 67.98/68.33 cnf(i_0_118, plain, (member(X1,X2)|~least(X1,X3,X2))). 67.98/68.33 cnf(i_0_105, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk13_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_104, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk14_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_115, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk13_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_114, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk14_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_95, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk13_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_94, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|member(esk14_2(X1,X2),X2))). 67.98/68.33 cnf(i_0_101, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|esk14_2(X1,X2)!=esk13_2(X1,X2))). 67.98/68.33 cnf(i_0_111, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|esk14_2(X1,X2)!=esk13_2(X1,X2))). 67.98/68.33 cnf(i_0_91, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|esk14_2(X1,X2)!=esk13_2(X1,X2))). 67.98/68.33 cnf(i_0_119, plain, (apply(X3,X4,X1)|~member(X1,X2)|~least(X4,X3,X2))). 67.98/68.33 cnf(i_0_44, plain, (apply(X3,X1,X4)|~member(X1,X2)|~greatest(X4,X3,X2))). 67.98/68.33 cnf(i_0_120, plain, (apply(X2,X4,X1)|~member(X4,X3)|~upper_bound(X1,X2,X3))). 67.98/68.33 cnf(i_0_47, plain, (apply(X2,X1,X4)|~member(X4,X3)|~lower_bound(X1,X2,X3))). 67.98/68.33 cnf(i_0_32, plain, (max(X3,X1,X2)|esk4_3(X1,X2,X3)!=X3|~member(X3,X2))). 67.98/68.33 cnf(i_0_50, plain, (min(X3,X1,X2)|esk8_3(X1,X2,X3)!=X3|~member(X3,X2))). 67.98/68.33 cnf(i_0_122, plain, (upper_bound(X3,X1,X2)|member(esk16_3(X1,X2,X3),X2))). 67.98/68.33 cnf(i_0_46, plain, (lower_bound(X3,X1,X2)|member(esk7_3(X1,X2,X3),X2))). 67.98/68.33 cnf(i_0_127, plain, (apply(X4,X3,X1)|apply(X4,X1,X3)|~member(X3,X2)|~member(X1,X2)|~total_order(X4,X2))). 67.98/68.33 cnf(i_0_31, plain, (X2=X3|~member(X3,X4)|~apply(X1,X2,X3)|~max(X2,X1,X4))). 67.98/68.33 cnf(i_0_49, plain, (X1=X4|~member(X1,X2)|~apply(X3,X1,X4)|~min(X4,X3,X2))). 67.98/68.33 cnf(i_0_33, plain, (max(X3,X1,X2)|member(esk4_3(X1,X2,X3),X2)|~member(X3,X2))). 67.98/68.33 cnf(i_0_42, plain, (greatest(X3,X1,X2)|member(esk6_3(X1,X2,X3),X2)|~member(X3,X2))). 67.98/68.33 cnf(i_0_52, plain, (min(X3,X1,X2)|member(esk8_3(X1,X2,X3),X2)|~member(X3,X2))). 67.98/68.33 cnf(i_0_117, plain, (least(X3,X1,X2)|member(esk15_3(X1,X2,X3),X2)|~member(X3,X2))). 67.98/68.33 cnf(i_0_103, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2)))). 67.98/68.33 cnf(i_0_102, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2)))). 67.98/68.33 cnf(i_0_113, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2)))). 67.98/68.33 cnf(i_0_112, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2)))). 67.98/68.33 cnf(i_0_93, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2)))). 67.98/68.33 cnf(i_0_92, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2)))). 67.98/68.33 cnf(i_0_75, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|member(esk13_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2)))). 67.98/68.33 cnf(i_0_85, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|member(esk13_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2)))). 67.98/68.33 cnf(i_0_74, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|member(esk14_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2)))). 67.98/68.33 cnf(i_0_84, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|member(esk14_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2)))). 67.98/68.33 cnf(i_0_124, plain, (total_order(X1,X2)|~order(X1,X2)|~apply(X1,esk17_2(X1,X2),esk18_2(X1,X2)))). 67.98/68.33 cnf(i_0_123, plain, (total_order(X1,X2)|~order(X1,X2)|~apply(X1,esk18_2(X1,X2),esk17_2(X1,X2)))). 67.98/68.33 cnf(i_0_71, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|esk14_2(X1,X2)!=esk13_2(X1,X2))). 67.98/68.33 cnf(i_0_81, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|esk14_2(X1,X2)!=esk13_2(X1,X2))). 67.98/68.33 cnf(i_0_34, plain, (max(X2,X1,X3)|apply(X1,X2,esk4_3(X1,X3,X2))|~member(X2,X3))). 67.98/68.33 cnf(i_0_51, plain, (min(X3,X1,X2)|apply(X1,esk8_3(X1,X2,X3),X3)|~member(X3,X2))). 67.98/68.33 cnf(i_0_53, plain, (X1=X3|~member(X3,X2)|~member(X1,X2)|~order(X4,X2)|~apply(X4,X3,X1)|~apply(X4,X1,X3))). 67.98/68.33 cnf(i_0_100, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|member(esk13_2(X1,X2),X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_99, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|member(esk14_2(X1,X2),X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_110, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|member(esk13_2(X1,X2),X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_109, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|member(esk14_2(X1,X2),X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_90, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|member(esk13_2(X1,X2),X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_89, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|member(esk14_2(X1,X2),X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_65, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|member(esk13_2(X1,X2),X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)))). 67.98/68.33 cnf(i_0_64, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|member(esk14_2(X1,X2),X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)))). 67.98/68.33 cnf(i_0_96, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|esk14_2(X1,X2)!=esk13_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_106, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|esk14_2(X1,X2)!=esk13_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_86, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|esk14_2(X1,X2)!=esk13_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_61, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|esk14_2(X1,X2)!=esk13_2(X1,X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)))). 67.98/68.33 cnf(i_0_73, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2)))). 67.98/68.33 cnf(i_0_72, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2)))). 67.98/68.33 cnf(i_0_83, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2)))). 67.98/68.33 cnf(i_0_82, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2)))). 67.98/68.33 cnf(i_0_45, plain, (lower_bound(X2,X1,X3)|~apply(X1,X2,esk7_3(X1,X3,X2)))). 67.98/68.33 cnf(i_0_121, plain, (upper_bound(X3,X1,X2)|~apply(X1,esk16_3(X1,X2,X3),X3))). 67.98/68.33 cnf(i_0_55, plain, (apply(X5,X3,X4)|~member(X4,X2)|~member(X3,X2)|~member(X1,X2)|~order(X5,X2)|~apply(X5,X3,X1)|~apply(X5,X1,X4))). 67.98/68.33 cnf(i_0_98, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_97, plain, (order(X1,X2)|member(esk9_2(X1,X2),X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_108, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_107, plain, (order(X1,X2)|member(esk10_2(X1,X2),X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_88, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_87, plain, (order(X1,X2)|member(esk11_2(X1,X2),X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_63, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)))). 67.98/68.33 cnf(i_0_62, plain, (order(X1,X2)|member(esk12_2(X1,X2),X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)))). 67.98/68.33 cnf(i_0_70, plain, (order(X1,X2)|member(esk13_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_80, plain, (order(X1,X2)|member(esk13_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_69, plain, (order(X1,X2)|member(esk14_2(X1,X2),X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_79, plain, (order(X1,X2)|member(esk14_2(X1,X2),X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_116, plain, (least(X2,X1,X3)|~member(X2,X3)|~apply(X1,X2,esk15_3(X1,X3,X2)))). 67.98/68.33 cnf(i_0_41, plain, (greatest(X3,X1,X2)|~member(X3,X2)|~apply(X1,esk6_3(X1,X2,X3),X3))). 67.98/68.33 cnf(i_0_66, plain, (order(X1,X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|esk14_2(X1,X2)!=esk13_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_76, plain, (order(X1,X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|esk14_2(X1,X2)!=esk13_2(X1,X2)|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_60, plain, (order(X1,X2)|member(esk13_2(X1,X2),X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_59, plain, (order(X1,X2)|member(esk14_2(X1,X2),X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_56, plain, (order(X1,X2)|esk14_2(X1,X2)!=esk13_2(X1,X2)|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_68, plain, (order(X1,X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_67, plain, (order(X1,X2)|apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_78, plain, (order(X1,X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_77, plain, (order(X1,X2)|apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_37, plain, (member(X1,X2)|~least_upper_bound(X1,X2,X3,X4))). 67.98/68.33 cnf(i_0_134, plain, (member(X1,X2)|~greatest_lower_bound(X1,X2,X3,X4))). 67.98/68.33 cnf(i_0_135, negated_conjecture, (~least_upper_bound(esk23_0,unordered_pair(esk22_0,esk23_0),esk20_0,esk21_0))). 67.98/68.33 cnf(i_0_36, plain, (upper_bound(X1,X2,X3)|~least_upper_bound(X1,X3,X2,X4))). 67.98/68.33 cnf(i_0_133, plain, (lower_bound(X1,X2,X3)|~greatest_lower_bound(X1,X3,X2,X4))). 67.98/68.33 cnf(i_0_58, plain, (order(X1,X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_57, plain, (order(X1,X2)|apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk9_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk12_2(X1,X2)))). 67.98/68.33 cnf(i_0_35, plain, (apply(X3,X5,X1)|~member(X1,X2)|~upper_bound(X1,X3,X4)|~least_upper_bound(X5,X4,X3,X2))). 67.98/68.33 cnf(i_0_132, plain, (apply(X2,X1,X5)|~member(X1,X4)|~lower_bound(X1,X2,X3)|~greatest_lower_bound(X5,X3,X2,X4))). 67.98/68.33 cnf(i_0_40, plain, (least_upper_bound(X1,X2,X3,X4)|member(esk5_4(X1,X2,X3,X4),X4)|~member(X1,X2)|~upper_bound(X1,X3,X2))). 67.98/68.33 cnf(i_0_130, plain, (greatest_lower_bound(X1,X2,X3,X4)|member(esk19_4(X1,X2,X3,X4),X4)|~member(X1,X2)|~lower_bound(X1,X3,X2))). 67.98/68.33 cnf(i_0_39, plain, (least_upper_bound(X1,X2,X3,X4)|upper_bound(esk5_4(X1,X2,X3,X4),X3,X2)|~member(X1,X2)|~upper_bound(X1,X3,X2))). 67.98/68.33 cnf(i_0_131, plain, (greatest_lower_bound(X1,X2,X3,X4)|lower_bound(esk19_4(X1,X2,X3,X4),X3,X2)|~member(X1,X2)|~lower_bound(X1,X3,X2))). 67.98/68.33 cnf(i_0_38, plain, (least_upper_bound(X2,X3,X1,X4)|~member(X2,X3)|~upper_bound(X2,X1,X3)|~apply(X1,X2,esk5_4(X2,X3,X1,X4)))). 67.98/68.33 cnf(i_0_129, plain, (greatest_lower_bound(X2,X3,X1,X4)|~member(X2,X3)|~lower_bound(X2,X1,X3)|~apply(X1,esk19_4(X2,X3,X1,X4),X2))). 67.98/68.33 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 67.98/68.33 # Begin printing tableau 67.98/68.33 # 2,0,0,0 c s 67.98/68.33 cnf(i_0_1734732, plain, (apply(esk20_0,esk23_0,esk23_0))). 67.98/68.33 # 1,3,54,0 67.98/68.33 cnf(i_0_142, plain, (order(esk20_0,esk21_0))). 67.98/68.33 # 0,1,139,0 67.98/68.33 cnf(i_0_139, watchlist, (order(esk20_0,esk21_0))). 67.98/68.33 67.98/68.33 # 2,0,0,0 c 67.98/68.33 cnf(i_0_1734733, plain, (~member(esk23_0,esk21_0))). 67.98/68.33 # 1,3,54,0 67.98/68.33 cnf(i_0_142, plain, (order(esk20_0,esk21_0))). 67.98/68.33 # 0,1,139,0 67.98/68.33 cnf(i_0_139, watchlist, (order(esk20_0,esk21_0))). 67.98/68.33 67.98/68.33 # 2,0,0,1 x c 67.98/68.33 cnf(i_0_1734734, plain, (~order(esk20_0,esk21_0))). 67.98/68.33 # 1,3,54,0 67.98/68.33 cnf(i_0_142, plain, (order(esk20_0,esk21_0))). 67.98/68.33 # 0,1,139,0 67.98/68.33 cnf(i_0_139, watchlist, (order(esk20_0,esk21_0))). 67.98/68.33 67.98/68.33 # End printing tableau 67.98/68.33 # SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 67.98/68.33 # Branches closed with saturation will be marked with an "s" 67.98/68.33 # Proof search success! 67.98/68.33 # Exiting... 68.28/68.61 EOF