0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.162eRe3zUF 0.11/0.32 % Computer : n023.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 07:59:43 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.33 % Running portfolio for 120 s 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.33 % Number of cores: 8 0.17/0.33 % Python version: Python 3.6.8 0.17/0.33 % Running in FO mode 8.23/8.45 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 8.23/8.45 % Solved by: fo/fo7.sh 8.23/8.45 To remain in the chosen logic fragment, unification with booleans has been disabled. 8.23/8.45 % done 6635 iterations in 8.000s 8.23/8.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 8.23/8.45 % SZS output start Refutation 8.23/8.45 tff('ass(cond(goal(130), 0), 0)', axiom, 8.23/8.45 (![Vd203,Vd204]: 8.23/8.45 (less(Vd203,Vd204) | greater(Vd203,Vd204) | (Vd203 = Vd204)))). 8.23/8.45 tff('0', plain, 8.23/8.45 ![X73, X74]: ( less(X73, X74) | greater(X73, X74) | X73 = X74), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(130), 0), 0)])). 8.23/8.45 tff('def(cond(conseq(axiom(3)), 17), 1)', axiom, 8.23/8.45 (![Vd249,Vd250]: 8.23/8.45 (((Vd250 = Vd249) | less(Vd250,Vd249)) <=> leq(Vd250,Vd249)))). 8.23/8.45 tff('1', plain, ![X37, X38]: ( leq(X37, X38) | ~ less(X37, X38)), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 17), 1)])). 8.23/8.45 tff('2', plain, ![X0, X1]: (X1 = X0 | greater(X1, X0) | leq(X1, X0)), 8.23/8.45 inference('sup-', [status(thm)], ['0', '1'])). 8.23/8.45 tff('holds(conseq(218), 361, 0)', conjecture, 8.23/8.45 (greater(vplus(vd353,vd355),vplus(vd354,vd356)))). 8.23/8.45 tff(zf_stmt_0, negated_conjecture, 8.23/8.45 (~greater(vplus(vd353,vd355),vplus(vd354,vd356)))). 8.23/8.45 tff('3', plain, ~ greater(vplus(vd353, vd355), vplus(vd354, vd356)), 8.23/8.45 inference('cnf', [status(esa)], [zf_stmt_0])). 8.23/8.45 tff('4', plain, 8.23/8.45 ( leq(vplus(vd353, vd355), vplus(vd354, vd356)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356)), 8.23/8.45 inference('sup-', [status(thm)], ['2', '3'])). 8.23/8.45 tff('ass(cond(163, 0), 0)', axiom, 8.23/8.45 (![Vd258,Vd259]: (leq(Vd258,Vd259) => geq(Vd259,Vd258)))). 8.23/8.45 tff('5', plain, ![X14, X15]: ( geq(X14, X15) | ~ leq(X15, X14)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(163, 0), 0)])). 8.23/8.45 tff('6', plain, 8.23/8.45 (vplus(vd353, vd355) = vplus(vd354, vd356) 8.23/8.45 | geq(vplus(vd354, vd356), vplus(vd353, vd355))), 8.23/8.45 inference('sup-', [status(thm)], ['4', '5'])). 8.23/8.45 tff('def(cond(conseq(axiom(3)), 16), 1)', axiom, 8.23/8.45 (![Vd244,Vd245]: 8.23/8.45 (((Vd244 = Vd245) | greater(Vd245,Vd244)) <=> geq(Vd245,Vd244)))). 8.23/8.45 tff('7', plain, 8.23/8.45 ![X48, X49]: ( greater(X49, X48) | X48 = X49 | ~ geq(X49, X48)), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). 8.23/8.45 tff('8', plain, 8.23/8.45 (vplus(vd353, vd355) = vplus(vd354, vd356) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356) 8.23/8.45 | greater(vplus(vd354, vd356), vplus(vd353, vd355))), 8.23/8.45 inference('sup-', [status(thm)], ['6', '7'])). 8.23/8.45 tff('9', plain, 8.23/8.45 ( greater(vplus(vd354, vd356), vplus(vd353, vd355)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356)), 8.23/8.45 inference('simplify', [status(thm)], ['8'])). 8.23/8.45 tff(dis(antec(218)), axiom, 8.23/8.45 ((greater(vd353,vd354) & geq(vd355,vd356)) | 8.23/8.45 (geq(vd353,vd354) & greater(vd355,vd356)))). 8.23/8.45 tff(zf_stmt_1, axiom, 8.23/8.45 (zip_tseitin_1 => (greater(vd355,vd356) & geq(vd353,vd354)))). 8.23/8.45 tff('10', plain, ( geq(vd353, vd354) | ~ zip_tseitin_1), 8.23/8.45 inference('cnf', [status(esa)], [zf_stmt_1])). 8.23/8.45 tff('11', plain, ( geq(vd353, vd354)) <= (( geq(vd353, vd354))), 8.23/8.45 inference('split', [status(esa)], ['10'])). 8.23/8.45 tff('12', plain, 8.23/8.45 ![X48, X49]: ( greater(X49, X48) | X48 = X49 | ~ geq(X49, X48)), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). 8.23/8.45 tff('13', plain, 8.23/8.45 ((vd354 = vd353 | greater(vd353, vd354))) <= (( geq(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['11', '12'])). 8.23/8.45 tff('14', plain, ( greater(vd355, vd356) | ~ zip_tseitin_1), 8.23/8.45 inference('cnf', [status(esa)], [zf_stmt_1])). 8.23/8.45 tff('15', plain, ( greater(vd355, vd356)) <= (( greater(vd355, vd356))), 8.23/8.45 inference('split', [status(esa)], ['14'])). 8.23/8.45 tff('ass(cond(209, 0), 0)', axiom, 8.23/8.45 (![Vd337,Vd338,Vd340,Vd341]: 8.23/8.45 ((greater(Vd337,Vd338) & greater(Vd340,Vd341)) => 8.23/8.45 greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341))))). 8.23/8.45 tff('16', plain, 8.23/8.45 ![X30, X31, X32, X33]: 8.23/8.45 (~ greater(X30, X31) 8.23/8.45 | ~ greater(X32, X33) 8.23/8.45 | greater(vplus(X30, X32), vplus(X31, X33))), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(209, 0), 0)])). 8.23/8.45 tff('17', plain, 8.23/8.45 (![X0, X1]: 8.23/8.45 ( greater(vplus(vd355, X1), vplus(vd356, X0)) | ~ greater(X1, X0))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['15', '16'])). 8.23/8.45 tff('18', plain, 8.23/8.45 ((vd354 = vd353 | greater(vplus(vd355, vd353), vplus(vd356, vd354)))) 8.23/8.45 <= (( greater(vd355, vd356)) & ( geq(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['13', '17'])). 8.23/8.45 tff('ass(cond(61, 0), 0)', axiom, 8.23/8.45 (![Vd78,Vd79]: (vplus(Vd78,Vd79) = vplus(Vd79,Vd78)))). 8.23/8.45 tff('19', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('20', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('21', plain, 8.23/8.45 ((vd354 = vd353 | greater(vplus(vd353, vd355), vplus(vd354, vd356)))) 8.23/8.45 <= (( greater(vd355, vd356)) & ( geq(vd353, vd354))), 8.23/8.45 inference('demod', [status(thm)], ['18', '19', '20'])). 8.23/8.45 tff(zf_stmt_2, axiom, 8.23/8.45 (zip_tseitin_0 => (geq(vd355,vd356) & greater(vd353,vd354)))). 8.23/8.45 tff('22', plain, ( geq(vd355, vd356) | ~ zip_tseitin_0), 8.23/8.45 inference('cnf', [status(esa)], [zf_stmt_2])). 8.23/8.45 tff('23', plain, ( geq(vd355, vd356)) | ~ ( zip_tseitin_0), 8.23/8.45 inference('split', [status(esa)], ['22'])). 8.23/8.45 tff('24', plain, ( greater(vd353, vd354) | ~ zip_tseitin_0), 8.23/8.45 inference('cnf', [status(esa)], [zf_stmt_2])). 8.23/8.45 tff('25', plain, ~ ( zip_tseitin_0) | ( greater(vd353, vd354)), 8.23/8.45 inference('split', [status(esa)], ['24'])). 8.23/8.45 tff('26', plain, ( greater(vd353, vd354)) <= (( greater(vd353, vd354))), 8.23/8.45 inference('split', [status(esa)], ['24'])). 8.23/8.45 tff('ass(cond(140, 0), 0)', axiom, 8.23/8.45 (![Vd208,Vd209]: (greater(Vd208,Vd209) => less(Vd209,Vd208)))). 8.23/8.45 tff('27', plain, ![X78, X79]: ( less(X78, X79) | ~ greater(X79, X78)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(140, 0), 0)])). 8.23/8.45 tff('28', plain, ( less(vd354, vd353)) <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['26', '27'])). 8.23/8.45 tff('ass(cond(goal(193), 0), 0)', axiom, 8.23/8.45 (![Vd301,Vd302,Vd303]: 8.23/8.45 (less(Vd301,Vd302) => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303))))). 8.23/8.45 tff('29', plain, 8.23/8.45 ![X18, X19, X20]: 8.23/8.45 (~ less(X18, X19) | less(vplus(X18, X20), vplus(X19, X20))), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(193), 0), 0)])). 8.23/8.45 tff('30', plain, 8.23/8.45 (![X0]: less(vplus(vd354, X0), vplus(vd353, X0))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['28', '29'])). 8.23/8.45 tff('31', plain, 8.23/8.45 ( leq(vplus(vd353, vd355), vplus(vd354, vd356)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356)), 8.23/8.45 inference('sup-', [status(thm)], ['2', '3'])). 8.23/8.45 tff('ass(cond(goal(177), 0), 0)', axiom, 8.23/8.45 (![Vd281,Vd282,Vd283]: 8.23/8.45 (((less(Vd282,Vd283) & leq(Vd281,Vd282)) | 8.23/8.45 (leq(Vd282,Vd283) & less(Vd281,Vd282))) => 8.23/8.45 less(Vd281,Vd283)))). 8.23/8.45 tff('32', plain, 8.23/8.45 ![X84, X85, X86]: ( less(X84, X85) | ~ less(X86, X85) | ~ leq(X84, X86)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(177), 0), 0)])). 8.23/8.45 tff('33', plain, 8.23/8.45 ![X0]: 8.23/8.45 (vplus(vd353, vd355) = vplus(vd354, vd356) 8.23/8.45 | ~ less(vplus(vd354, vd356), X0) 8.23/8.45 | less(vplus(vd353, vd355), X0)), 8.23/8.45 inference('sup-', [status(thm)], ['31', '32'])). 8.23/8.45 tff('34', plain, 8.23/8.45 (( less(vplus(vd353, vd355), vplus(vd353, vd356)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['30', '33'])). 8.23/8.45 tff('ass(cond(147, 0), 0)', axiom, 8.23/8.45 (![Vd226,Vd227]: (less(Vd226,Vd227) => greater(Vd227,Vd226)))). 8.23/8.45 tff('35', plain, ![X21, X22]: ( greater(X21, X22) | ~ less(X22, X21)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(147, 0), 0)])). 8.23/8.45 tff('36', plain, 8.23/8.45 ((vplus(vd353, vd355) = vplus(vd354, vd356) 8.23/8.45 | greater(vplus(vd353, vd356), vplus(vd353, vd355)))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['34', '35'])). 8.23/8.45 tff('37', plain, ( geq(vd355, vd356)) <= (( geq(vd355, vd356))), 8.23/8.45 inference('split', [status(esa)], ['22'])). 8.23/8.45 tff('38', plain, 8.23/8.45 ![X48, X49]: ( greater(X49, X48) | X48 = X49 | ~ geq(X49, X48)), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). 8.23/8.45 tff('39', plain, 8.23/8.45 ((vd356 = vd355 | greater(vd355, vd356))) <= (( geq(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['37', '38'])). 8.23/8.45 tff('def(cond(conseq(axiom(3)), 11), 1)', axiom, 8.23/8.45 (![Vd193,Vd194]: 8.23/8.45 (greater(Vd194,Vd193) <=> (?[Vd196]: (Vd194 = vplus(Vd193,Vd196)))))). 8.23/8.45 tff('40', plain, 8.23/8.45 ![X40, X41]: (X41 = vplus(X40, sk_Vd196(X41, X40)) | ~ greater(X41, X40)), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). 8.23/8.45 tff('41', plain, 8.23/8.45 ((vd356 = vd355 | vd355 = vplus(vd356, sk_Vd196(vd355, vd356)))) 8.23/8.45 <= (( geq(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['39', '40'])). 8.23/8.45 tff('ass(cond(33, 0), 0)', axiom, 8.23/8.45 (![Vd46,Vd47,Vd48]: 8.23/8.45 (vplus(Vd46,vplus(Vd47,Vd48)) = vplus(vplus(Vd46,Vd47),Vd48)))). 8.23/8.45 tff('42', plain, 8.23/8.45 ![X11, X12, X13]: 8.23/8.45 vplus(X11, vplus(X12, X13)) = vplus(vplus(X11, X12), X13), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(33, 0), 0)])). 8.23/8.45 tff('def(cond(conseq(axiom(3)), 12), 1)', axiom, 8.23/8.45 (![Vd198,Vd199]: 8.23/8.45 ((?[Vd201]: (vplus(Vd199,Vd201) = Vd198)) <=> less(Vd199,Vd198)))). 8.23/8.45 tff('43', plain, 8.23/8.45 ![X55, X56, X57]: ( less(X55, X56) | vplus(X55, X57) != X56), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 12), 1)])). 8.23/8.45 tff('44', plain, ![X55, X57]: less(X55, vplus(X55, X57)), 8.23/8.45 inference('simplify', [status(thm)], ['43'])). 8.23/8.45 tff('ass(cond(goal(130), 0), 2)', axiom, 8.23/8.45 (![Vd203,Vd204]: ((~less(Vd203,Vd204)) | (~greater(Vd203,Vd204))))). 8.23/8.45 tff('45', plain, ![X91, X92]: (~ less(X91, X92) | ~ greater(X91, X92)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(130), 0), 2)])). 8.23/8.45 tff('46', plain, ![X0, X1]: ~ greater(X1, vplus(X1, X0)), 8.23/8.45 inference('sup-', [status(thm)], ['44', '45'])). 8.23/8.45 tff('47', plain, 8.23/8.45 ![X0, X1, X2]: ~ greater(vplus(X2, X1), vplus(X2, vplus(X1, X0))), 8.23/8.45 inference('sup-', [status(thm)], ['42', '46'])). 8.23/8.45 tff('48', plain, 8.23/8.45 (![X0]: (~ greater(vplus(X0, vd356), vplus(X0, vd355)) | vd356 = vd355)) 8.23/8.45 <= (( geq(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['41', '47'])). 8.23/8.45 tff('49', plain, 8.23/8.45 ((vplus(vd353, vd355) = vplus(vd354, vd356) | vd356 = vd355)) 8.23/8.45 <= (( geq(vd355, vd356)) & ( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['36', '48'])). 8.23/8.45 tff('50', plain, ( greater(vd353, vd354)) <= (( greater(vd353, vd354))), 8.23/8.45 inference('split', [status(esa)], ['24'])). 8.23/8.45 tff('ass(cond(goal(193), 0), 2)', axiom, 8.23/8.45 (![Vd301,Vd302,Vd303]: 8.23/8.45 (greater(Vd301,Vd302) => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))))). 8.23/8.45 tff('51', plain, 8.23/8.45 ![X61, X62, X63]: 8.23/8.45 (~ greater(X61, X62) | greater(vplus(X61, X63), vplus(X62, X63))), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(193), 0), 2)])). 8.23/8.45 tff('52', plain, 8.23/8.45 (![X0]: greater(vplus(vd353, X0), vplus(vd354, X0))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['50', '51'])). 8.23/8.45 tff('53', plain, 8.23/8.45 (( greater(vplus(vd353, vd356), vplus(vd353, vd355)) | vd356 = vd355)) 8.23/8.45 <= (( geq(vd355, vd356)) & ( greater(vd353, vd354))), 8.23/8.45 inference('sup+', [status(thm)], ['49', '52'])). 8.23/8.45 tff('54', plain, 8.23/8.45 (![X0]: (~ greater(vplus(X0, vd356), vplus(X0, vd355)) | vd356 = vd355)) 8.23/8.45 <= (( geq(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['41', '47'])). 8.23/8.45 tff('55', plain, 8.23/8.45 (vd356 = vd355) <= (( geq(vd355, vd356)) & ( greater(vd353, vd354))), 8.23/8.45 inference('clc', [status(thm)], ['53', '54'])). 8.23/8.45 tff('56', plain, 8.23/8.45 (![X0]: less(vplus(vd354, X0), vplus(vd353, X0))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['28', '29'])). 8.23/8.45 tff('57', plain, 8.23/8.45 ( leq(vplus(vd353, vd355), vplus(vd354, vd356)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356)), 8.23/8.45 inference('sup-', [status(thm)], ['2', '3'])). 8.23/8.45 tff('58', plain, 8.23/8.45 ![X84, X85, X86]: ( less(X84, X85) | ~ leq(X86, X85) | ~ less(X84, X86)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(177), 0), 0)])). 8.23/8.45 tff('59', plain, 8.23/8.45 ![X0]: 8.23/8.45 (vplus(vd353, vd355) = vplus(vd354, vd356) 8.23/8.45 | ~ less(X0, vplus(vd353, vd355)) 8.23/8.45 | less(X0, vplus(vd354, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['57', '58'])). 8.23/8.45 tff('60', plain, 8.23/8.45 (( less(vplus(vd354, vd355), vplus(vd354, vd356)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['56', '59'])). 8.23/8.45 tff('61', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('62', plain, 8.23/8.45 (( less(vplus(vd355, vd354), vplus(vd354, vd356)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd354, vd356))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('demod', [status(thm)], ['60', '61'])). 8.23/8.45 tff('63', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('ass(cond(goal(202), 0), 0)', axiom, 8.23/8.45 (![Vd328,Vd329,Vd330]: 8.23/8.45 (less(vplus(Vd328,Vd330),vplus(Vd329,Vd330)) => less(Vd328,Vd329)))). 8.23/8.45 tff('64', plain, 8.23/8.45 ![X75, X76, X77]: 8.23/8.45 ( less(X75, X76) | ~ less(vplus(X75, X77), vplus(X76, X77))), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(202), 0), 0)])). 8.23/8.45 tff('65', plain, 8.23/8.45 ![X0, X1, X2]: (~ less(vplus(X2, X1), vplus(X1, X0)) | less(X2, X0)), 8.23/8.45 inference('sup-', [status(thm)], ['63', '64'])). 8.23/8.45 tff('66', plain, 8.23/8.45 ((vplus(vd353, vd355) = vplus(vd354, vd356) | less(vd355, vd356))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['62', '65'])). 8.23/8.45 tff('67', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('68', plain, ( greater(vd353, vd354)) <= (( greater(vd353, vd354))), 8.23/8.45 inference('split', [status(esa)], ['24'])). 8.23/8.45 tff('69', plain, 8.23/8.45 ![X40, X41]: (X41 = vplus(X40, sk_Vd196(X41, X40)) | ~ greater(X41, X40)), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). 8.23/8.45 tff('70', plain, 8.23/8.45 (vd353 = vplus(vd354, sk_Vd196(vd353, vd354))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['68', '69'])). 8.23/8.45 tff('71', plain, 8.23/8.45 ![X11, X12, X13]: 8.23/8.45 vplus(X11, vplus(X12, X13)) = vplus(vplus(X11, X12), X13), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(33, 0), 0)])). 8.23/8.45 tff('72', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('ass(cond(73, 0), 0)', axiom, (![Vd92,Vd93]: (vplus(Vd92,Vd93) != Vd93))). 8.23/8.45 tff('73', plain, ![X67, X68]: vplus(X68, X67) != X67, 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(73, 0), 0)])). 8.23/8.45 tff('74', plain, ![X0, X1]: vplus(X1, X0) != X1, 8.23/8.45 inference('sup-', [status(thm)], ['72', '73'])). 8.23/8.45 tff('75', plain, ![X0, X1, X2]: vplus(X2, vplus(X1, X0)) != vplus(X2, X1), 8.23/8.45 inference('sup-', [status(thm)], ['71', '74'])). 8.23/8.45 tff('76', plain, 8.23/8.45 (![X0]: vplus(X0, vd353) != vplus(X0, vd354)) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['70', '75'])). 8.23/8.45 tff('77', plain, 8.23/8.45 (![X0]: vplus(X0, vd353) != vplus(vd354, X0)) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['67', '76'])). 8.23/8.45 tff('78', plain, 8.23/8.45 ((vplus(vd356, vd353) != vplus(vd353, vd355) | less(vd355, vd356))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['66', '77'])). 8.23/8.45 tff('79', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('80', plain, 8.23/8.45 ((vplus(vd353, vd356) != vplus(vd353, vd355) | less(vd355, vd356))) 8.23/8.45 <= (( greater(vd353, vd354))), 8.23/8.45 inference('demod', [status(thm)], ['78', '79'])). 8.23/8.45 tff('81', plain, 8.23/8.45 ((vplus(vd353, vd355) != vplus(vd353, vd355) | less(vd355, vd356))) 8.23/8.45 <= (( geq(vd355, vd356)) & ( greater(vd353, vd354))), 8.23/8.45 inference('sup-', [status(thm)], ['55', '80'])). 8.23/8.45 tff('82', plain, 8.23/8.45 (vd356 = vd355) <= (( geq(vd355, vd356)) & ( greater(vd353, vd354))), 8.23/8.45 inference('clc', [status(thm)], ['53', '54'])). 8.23/8.45 tff('83', plain, 8.23/8.45 ((vplus(vd353, vd355) != vplus(vd353, vd355) | less(vd355, vd355))) 8.23/8.45 <= (( geq(vd355, vd356)) & ( greater(vd353, vd354))), 8.23/8.45 inference('demod', [status(thm)], ['81', '82'])). 8.23/8.45 tff('84', plain, 8.23/8.45 ( less(vd355, vd355)) 8.23/8.45 <= (( geq(vd355, vd356)) & ( greater(vd353, vd354))), 8.23/8.45 inference('simplify', [status(thm)], ['83'])). 8.23/8.45 tff('ass(cond(goal(130), 0), 1)', axiom, 8.23/8.45 (![Vd203,Vd204]: ((~less(Vd203,Vd204)) | (Vd204 != Vd203)))). 8.23/8.45 tff('85', plain, ![X59, X60]: (~ less(X59, X60) | X60 != X59), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(130), 0), 1)])). 8.23/8.45 tff('86', plain, ![X59]: ~ less(X59, X59), 8.23/8.45 inference('simplify', [status(thm)], ['85'])). 8.23/8.45 tff('87', plain, ~ ( greater(vd353, vd354)) | ~ ( geq(vd355, vd356)), 8.23/8.45 inference('sup-', [status(thm)], ['84', '86'])). 8.23/8.45 tff(zf_stmt_3, type, zip_tseitin_1 : $o). 8.23/8.45 tff(zf_stmt_4, type, zip_tseitin_0 : $o). 8.23/8.45 tff(zf_stmt_5, axiom, (zip_tseitin_1 | zip_tseitin_0)). 8.23/8.45 tff('88', plain, ( zip_tseitin_1 | zip_tseitin_0), 8.23/8.45 inference('cnf', [status(esa)], [zf_stmt_5])). 8.23/8.45 tff('89', plain, ( zip_tseitin_1) | ( zip_tseitin_0), 8.23/8.45 inference('split', [status(esa)], ['88'])). 8.23/8.45 tff('90', plain, ( greater(vd355, vd356)) | ~ ( zip_tseitin_1), 8.23/8.45 inference('split', [status(esa)], ['14'])). 8.23/8.45 tff('91', plain, ( greater(vd355, vd356)), 8.23/8.45 inference('sat_resolution*', [status(thm)], 8.23/8.45 ['23', '25', '87', '89', '90'])). 8.23/8.45 tff('92', plain, ( geq(vd353, vd354)) | ~ ( zip_tseitin_1), 8.23/8.45 inference('split', [status(esa)], ['10'])). 8.23/8.45 tff('93', plain, ( geq(vd353, vd354)), 8.23/8.45 inference('sat_resolution*', [status(thm)], 8.23/8.45 ['23', '25', '87', '89', '92'])). 8.23/8.45 tff('94', plain, 8.23/8.45 (vd354 = vd353 | greater(vplus(vd353, vd355), vplus(vd354, vd356))), 8.23/8.45 inference('simpl_trail', [status(thm)], ['21', '91', '93'])). 8.23/8.45 tff('95', plain, ~ greater(vplus(vd353, vd355), vplus(vd354, vd356)), 8.23/8.45 inference('cnf', [status(esa)], [zf_stmt_0])). 8.23/8.45 tff('96', plain, vd354 = vd353, inference('clc', [status(thm)], ['94', '95'])). 8.23/8.45 tff('97', plain, vd354 = vd353, inference('clc', [status(thm)], ['94', '95'])). 8.23/8.45 tff('98', plain, 8.23/8.45 ( greater(vplus(vd353, vd356), vplus(vd353, vd355)) 8.23/8.45 | vplus(vd353, vd355) = vplus(vd353, vd356)), 8.23/8.45 inference('demod', [status(thm)], ['9', '96', '97'])). 8.23/8.45 tff('99', plain, ( greater(vd355, vd356)) <= (( greater(vd355, vd356))), 8.23/8.45 inference('split', [status(esa)], ['14'])). 8.23/8.45 tff('100', plain, 8.23/8.45 ![X40, X41]: (X41 = vplus(X40, sk_Vd196(X41, X40)) | ~ greater(X41, X40)), 8.23/8.45 inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). 8.23/8.45 tff('101', plain, 8.23/8.45 (vd355 = vplus(vd356, sk_Vd196(vd355, vd356))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['99', '100'])). 8.23/8.45 tff('102', plain, 8.23/8.45 (vd355 = vplus(vd356, sk_Vd196(vd355, vd356))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['99', '100'])). 8.23/8.45 tff('ass(cond(81, 0), 0)', axiom, 8.23/8.45 (![Vd104,Vd105]: 8.23/8.45 ((Vd104 != Vd105) => 8.23/8.45 (![Vd107]: (vplus(Vd107,Vd105) != vplus(Vd107,Vd104)))))). 8.23/8.45 tff('103', plain, 8.23/8.45 ![X52, X53, X54]: (vplus(X52, X54) != vplus(X52, X53) | X53 = X54), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(81, 0), 0)])). 8.23/8.45 tff('104', plain, ![X52, X53]: '#_fresh_sk3'(X52, vplus(X52, X53)) = X53, 8.23/8.45 inference('inj_rec', [status(thm)], ['103'])). 8.23/8.45 tff('105', plain, 8.23/8.45 ('#_fresh_sk3'(vd356, vd355) = sk_Vd196(vd355, vd356)) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup+', [status(thm)], ['102', '104'])). 8.23/8.45 tff('106', plain, 8.23/8.45 (vd355 = vplus(vd356, '#_fresh_sk3'(vd356, vd355))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('demod', [status(thm)], ['101', '105'])). 8.23/8.45 tff('107', plain, ( greater(vd355, vd356)), 8.23/8.45 inference('sat_resolution*', [status(thm)], 8.23/8.45 ['23', '25', '87', '89', '90'])). 8.23/8.45 tff('108', plain, vd355 = vplus(vd356, '#_fresh_sk3'(vd356, vd355)), 8.23/8.45 inference('simpl_trail', [status(thm)], ['106', '107'])). 8.23/8.45 tff('109', plain, ![X0, X1, X2]: vplus(X2, vplus(X1, X0)) != vplus(X2, X1), 8.23/8.45 inference('sup-', [status(thm)], ['71', '74'])). 8.23/8.45 tff('110', plain, ![X0]: vplus(X0, vd355) != vplus(X0, vd356), 8.23/8.45 inference('sup-', [status(thm)], ['108', '109'])). 8.23/8.45 tff('111', plain, greater(vplus(vd353, vd356), vplus(vd353, vd355)), 8.23/8.45 inference('simplify_reflect-', [status(thm)], ['98', '110'])). 8.23/8.45 tff('112', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('113', plain, ![X50, X51]: vplus(X51, X50) = vplus(X50, X51), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(61, 0), 0)])). 8.23/8.45 tff('114', plain, ( greater(vd355, vd356)) <= (( greater(vd355, vd356))), 8.23/8.45 inference('split', [status(esa)], ['14'])). 8.23/8.45 tff('115', plain, ![X78, X79]: ( less(X78, X79) | ~ greater(X79, X78)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(140, 0), 0)])). 8.23/8.45 tff('116', plain, ( less(vd356, vd355)) <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['114', '115'])). 8.23/8.45 tff('117', plain, 8.23/8.45 ![X18, X19, X20]: 8.23/8.45 (~ less(X18, X19) | less(vplus(X18, X20), vplus(X19, X20))), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(193), 0), 0)])). 8.23/8.45 tff('118', plain, 8.23/8.45 (![X0]: less(vplus(vd356, X0), vplus(vd355, X0))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['116', '117'])). 8.23/8.45 tff('119', plain, ![X91, X92]: (~ less(X91, X92) | ~ greater(X91, X92)), 8.23/8.45 inference('cnf', [status(esa)], [ass(cond(goal(130), 0), 2)])). 8.23/8.45 tff('120', plain, 8.23/8.45 (![X0]: ~ greater(vplus(vd356, X0), vplus(vd355, X0))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['118', '119'])). 8.23/8.45 tff('121', plain, 8.23/8.45 (![X0]: ~ greater(vplus(X0, vd356), vplus(vd355, X0))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['113', '120'])). 8.23/8.45 tff('122', plain, 8.23/8.45 (![X0]: ~ greater(vplus(X0, vd356), vplus(X0, vd355))) 8.23/8.45 <= (( greater(vd355, vd356))), 8.23/8.45 inference('sup-', [status(thm)], ['112', '121'])). 8.23/8.45 tff('123', plain, ( greater(vd355, vd356)), 8.23/8.45 inference('sat_resolution*', [status(thm)], 8.23/8.45 ['23', '25', '87', '89', '90'])). 8.23/8.45 tff('124', plain, ![X0]: ~ greater(vplus(X0, vd356), vplus(X0, vd355)), 8.23/8.45 inference('simpl_trail', [status(thm)], ['122', '123'])). 8.23/8.45 tff('125', plain, $false, inference('sup-', [status(thm)], ['111', '124'])). 8.23/8.45 8.23/8.45 % SZS output end Refutation 8.23/8.45 8.23/8.46 % Zipperpin 1.5 exiting 8.23/8.46 EOF