0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.lVnlAv9ra1 0.14/0.35 % Computer : n026.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % DateTime : Thu Jul 2 08:50:24 EDT 2020 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in FO mode 0.75/0.94 % Running /export/starexec/sandbox/solver/bin/fo/fo7.sh for 25 0.75/0.94 % Solved by: fo/fo7.sh 0.75/0.94 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.75/0.94 % done 858 iterations in 0.474s 0.75/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.75/0.94 % SZS output start Refutation 0.75/0.94 tff(mSubRefl, axiom, (![W0]: (aSet0(W0) => aSubsetOf0(W0,W0)))). 0.75/0.94 tff('0', plain, ![X75]: ( aSubsetOf0(X75, X75) | ~ aSet0(X75)), 0.75/0.94 inference('cnf', [status(esa)], [mSubRefl])). 0.75/0.94 tff(mCardEmpty, axiom, 0.75/0.94 (![W0]: (aSet0(W0) => ((sz00 = sbrdtbr0(W0)) <=> (slcrc0 = W0))))). 0.75/0.94 tff('1', plain, 0.75/0.94 ![X74]: (slcrc0 != X74 | sz00 = sbrdtbr0(X74) | ~ aSet0(X74)), 0.75/0.94 inference('cnf', [status(esa)], [mCardEmpty])). 0.75/0.94 tff('2', plain, (~ aSet0(slcrc0) | sz00 = sbrdtbr0(slcrc0)), 0.75/0.94 inference('simplify', [status(thm)], ['1'])). 0.75/0.94 tff(mDefEmp, axiom, 0.75/0.94 (![W0]: ((W0 = slcrc0) <=> (aSet0(W0) & (~(?[W1]: aElementOf0(W1,W0))))))). 0.75/0.94 tff('3', plain, ![X0]: ( aSet0(X0) | X0 != slcrc0), 0.75/0.94 inference('cnf', [status(esa)], [mDefEmp])). 0.75/0.94 tff('4', plain, aSet0(slcrc0), inference('simplify', [status(thm)], ['3'])). 0.75/0.94 tff('5', plain, sz00 = sbrdtbr0(slcrc0), 0.75/0.94 inference('demod', [status(thm)], ['2', '4'])). 0.75/0.94 tff(mDefSel, axiom, 0.75/0.94 (![W0,W1]: 0.75/0.94 ((aSet0(W0) & aElementOf0(W1,szNzAzT0)) => 0.75/0.94 (![W2]: 0.75/0.94 ((W2 = slbdtsldtrb0(W0,W1)) <=> 0.75/0.94 (aSet0(W2) & 0.75/0.94 (![W3]: 0.75/0.94 (aElementOf0(W3,W2) <=> 0.75/0.94 (aSubsetOf0(W3,W0) & (sbrdtbr0(W3) = W1)))))))))). 0.75/0.94 tff('6', plain, 0.75/0.94 ![X38, X39, X40, X42]: 0.75/0.94 (~ aSet0(X38) 0.75/0.94 | ~ aElementOf0(X39, szNzAzT0) 0.75/0.94 | ~ aSubsetOf0(X42, X38) 0.75/0.94 | sbrdtbr0(X42) != X39 0.75/0.94 | aElementOf0(X42, X40) 0.75/0.94 | X40 != slbdtsldtrb0(X38, X39)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSel])). 0.75/0.94 tff('7', plain, 0.75/0.94 ![X38, X42]: 0.75/0.94 ( aElementOf0(X42, slbdtsldtrb0(X38, sbrdtbr0(X42))) 0.75/0.94 | ~ aSubsetOf0(X42, X38) 0.75/0.94 | ~ aElementOf0(sbrdtbr0(X42), szNzAzT0) 0.75/0.94 | ~ aSet0(X38)), 0.75/0.94 inference('simplify', [status(thm)], ['6'])). 0.75/0.94 tff('8', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aElementOf0(sz00, szNzAzT0) 0.75/0.94 | ~ aSet0(X0) 0.75/0.94 | ~ aSubsetOf0(slcrc0, X0) 0.75/0.94 | aElementOf0(slcrc0, slbdtsldtrb0(X0, sbrdtbr0(slcrc0)))), 0.75/0.94 inference('sup-', [status(thm)], ['5', '7'])). 0.75/0.94 tff(mZeroNum, axiom, (aElementOf0(sz00,szNzAzT0))). 0.75/0.94 tff('9', plain, aElementOf0(sz00, szNzAzT0), 0.75/0.94 inference('cnf', [status(esa)], [mZeroNum])). 0.75/0.94 tff('10', plain, sz00 = sbrdtbr0(slcrc0), 0.75/0.94 inference('demod', [status(thm)], ['2', '4'])). 0.75/0.94 tff('11', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aSet0(X0) 0.75/0.94 | ~ aSubsetOf0(slcrc0, X0) 0.75/0.94 | aElementOf0(slcrc0, slbdtsldtrb0(X0, sz00))), 0.75/0.94 inference('demod', [status(thm)], ['8', '9', '10'])). 0.75/0.94 tff(mDefSub, axiom, 0.75/0.94 (![W0]: 0.75/0.94 (aSet0(W0) => 0.75/0.94 (![W1]: 0.75/0.94 (aSubsetOf0(W1,W0) <=> 0.75/0.94 (aSet0(W1) & (![W2]: (aElementOf0(W2,W1) => aElementOf0(W2,W0))))))))). 0.75/0.94 tff('12', plain, 0.75/0.94 ![X3, X4]: 0.75/0.94 (~ aSet0(X3) 0.75/0.94 | aElementOf0(sk_W2(X3, X4), X3) 0.75/0.94 | aSubsetOf0(X3, X4) 0.75/0.94 | ~ aSet0(X4)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSub])). 0.75/0.94 tff('13', plain, ![X0, X1]: (~ aElementOf0(X1, X0) | X0 != slcrc0), 0.75/0.94 inference('cnf', [status(esa)], [mDefEmp])). 0.75/0.94 tff('14', plain, ![X1]: ~ aElementOf0(X1, slcrc0), 0.75/0.94 inference('simplify', [status(thm)], ['13'])). 0.75/0.94 tff('15', plain, 0.75/0.94 ![X0]: (~ aSet0(X0) | aSubsetOf0(slcrc0, X0) | ~ aSet0(slcrc0)), 0.75/0.94 inference('sup-', [status(thm)], ['12', '14'])). 0.75/0.94 tff('16', plain, aSet0(slcrc0), inference('simplify', [status(thm)], ['3'])). 0.75/0.94 tff('17', plain, ![X0]: (~ aSet0(X0) | aSubsetOf0(slcrc0, X0)), 0.75/0.94 inference('demod', [status(thm)], ['15', '16'])). 0.75/0.94 tff('18', plain, 0.75/0.94 ![X0]: ( aElementOf0(slcrc0, slbdtsldtrb0(X0, sz00)) | ~ aSet0(X0)), 0.75/0.94 inference('clc', [status(thm)], ['11', '17'])). 0.75/0.94 tff('19', plain, 0.75/0.94 ![X0]: ( aElementOf0(slcrc0, slbdtsldtrb0(X0, sz00)) | ~ aSet0(X0)), 0.75/0.94 inference('clc', [status(thm)], ['11', '17'])). 0.75/0.94 tff(m__3453, axiom, 0.75/0.94 (aFunction0(xc) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) & 0.75/0.94 (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)))). 0.75/0.94 tff('20', plain, szDzozmdt0(xc) = slbdtsldtrb0(xS, xK), 0.75/0.94 inference('cnf', [status(esa)], [m__3453])). 0.75/0.94 tff(m__, conjecture, 0.75/0.94 ((xK = sz00) => 0.75/0.94 (?[W0]: 0.75/0.94 ((?[W1]: 0.75/0.94 (isCountable0(W1) & 0.75/0.94 (![W2]: 0.75/0.94 (aElementOf0(W2,slbdtsldtrb0(W1,xK)) => 0.75/0.94 (sdtlpdtrp0(xc,W2) = W0))) & 0.75/0.94 aSubsetOf0(W1,xS))) & 0.75/0.94 aElementOf0(W0,xT))))). 0.75/0.94 tff(zf_stmt_0, negated_conjecture, 0.75/0.94 (~ 0.75/0.94 ((xK = sz00) => 0.75/0.94 (?[W0]: 0.75/0.94 ((?[W1]: 0.75/0.94 (isCountable0(W1) & 0.75/0.94 (![W2]: 0.75/0.94 (aElementOf0(W2,slbdtsldtrb0(W1,xK)) => 0.75/0.94 (sdtlpdtrp0(xc,W2) = W0))) & 0.75/0.94 aSubsetOf0(W1,xS))) & 0.75/0.94 aElementOf0(W0,xT)))))). 0.75/0.94 tff('21', plain, xK = sz00, inference('cnf', [status(esa)], [zf_stmt_0])). 0.75/0.94 tff('22', plain, szDzozmdt0(xc) = slbdtsldtrb0(xS, sz00), 0.75/0.94 inference('demod', [status(thm)], ['20', '21'])). 0.75/0.94 tff(mImgElm, axiom, 0.75/0.94 (![W0]: 0.75/0.94 (aFunction0(W0) => 0.75/0.94 (![W1]: 0.75/0.94 (aElementOf0(W1,szDzozmdt0(W0)) => aElement0(sdtlpdtrp0(W0,W1))))))). 0.75/0.94 tff('23', plain, 0.75/0.94 ![X88, X89]: 0.75/0.94 (~ aElementOf0(X88, szDzozmdt0(X89)) 0.75/0.94 | aElement0(sdtlpdtrp0(X89, X88)) 0.75/0.94 | ~ aFunction0(X89)), 0.75/0.94 inference('cnf', [status(esa)], [mImgElm])). 0.75/0.94 tff('24', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aElementOf0(X0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | ~ aFunction0(xc) 0.75/0.94 | aElement0(sdtlpdtrp0(xc, X0))), 0.75/0.94 inference('sup-', [status(thm)], ['22', '23'])). 0.75/0.94 tff('25', plain, aFunction0(xc), inference('cnf', [status(esa)], [m__3453])). 0.75/0.94 tff('26', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aElementOf0(X0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | aElement0(sdtlpdtrp0(xc, X0))), 0.75/0.94 inference('demod', [status(thm)], ['24', '25'])). 0.75/0.94 tff('27', plain, (~ aSet0(xS) | aElement0(sdtlpdtrp0(xc, slcrc0))), 0.75/0.94 inference('sup-', [status(thm)], ['19', '26'])). 0.75/0.94 tff(m__3435, axiom, (isCountable0(xS) & aSubsetOf0(xS,szNzAzT0))). 0.75/0.94 tff('28', plain, aSubsetOf0(xS, szNzAzT0), 0.75/0.94 inference('cnf', [status(esa)], [m__3435])). 0.75/0.94 tff('29', plain, 0.75/0.94 ![X4, X5]: (~ aSubsetOf0(X5, X4) | aSet0(X5) | ~ aSet0(X4)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSub])). 0.75/0.94 tff('30', plain, (~ aSet0(szNzAzT0) | aSet0(xS)), 0.75/0.94 inference('sup-', [status(thm)], ['28', '29'])). 0.75/0.94 tff(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). 0.75/0.94 tff('31', plain, aSet0(szNzAzT0), inference('cnf', [status(esa)], [mNATSet])). 0.75/0.94 tff('32', plain, aSet0(xS), inference('demod', [status(thm)], ['30', '31'])). 0.75/0.94 tff('33', plain, aElement0(sdtlpdtrp0(xc, slcrc0)), 0.75/0.94 inference('demod', [status(thm)], ['27', '32'])). 0.75/0.94 tff(mDefPtt, axiom, 0.75/0.94 (![W0,W1]: 0.75/0.94 ((aFunction0(W0) & aElement0(W1)) => 0.75/0.94 (![W2]: 0.75/0.94 ((W2 = sdtlbdtrb0(W0,W1)) <=> 0.75/0.94 (aSet0(W2) & 0.75/0.94 (![W3]: 0.75/0.94 (aElementOf0(W3,W2) <=> 0.75/0.94 (aElementOf0(W3,szDzozmdt0(W0)) & (sdtlpdtrp0(W0,W3) = W1)))))))))). 0.75/0.94 tff('34', plain, 0.75/0.94 ![X44, X45, X46, X48]: 0.75/0.94 (~ aFunction0(X44) 0.75/0.94 | ~ aElement0(X45) 0.75/0.94 | ~ aElementOf0(X48, szDzozmdt0(X44)) 0.75/0.94 | sdtlpdtrp0(X44, X48) != X45 0.75/0.94 | aElementOf0(X48, X46) 0.75/0.94 | X46 != sdtlbdtrb0(X44, X45)), 0.75/0.94 inference('cnf', [status(esa)], [mDefPtt])). 0.75/0.94 tff('35', plain, 0.75/0.94 ![X44, X48]: 0.75/0.94 ( aElementOf0(X48, sdtlbdtrb0(X44, sdtlpdtrp0(X44, X48))) 0.75/0.94 | ~ aElementOf0(X48, szDzozmdt0(X44)) 0.75/0.94 | ~ aElement0(sdtlpdtrp0(X44, X48)) 0.75/0.94 | ~ aFunction0(X44)), 0.75/0.94 inference('simplify', [status(thm)], ['34'])). 0.75/0.94 tff('36', plain, 0.75/0.94 (~ aFunction0(xc) 0.75/0.94 | ~ aElementOf0(slcrc0, szDzozmdt0(xc)) 0.75/0.94 | aElementOf0(slcrc0, sdtlbdtrb0(xc, sdtlpdtrp0(xc, slcrc0)))), 0.75/0.94 inference('sup-', [status(thm)], ['33', '35'])). 0.75/0.94 tff('37', plain, aFunction0(xc), inference('cnf', [status(esa)], [m__3453])). 0.75/0.94 tff('38', plain, szDzozmdt0(xc) = slbdtsldtrb0(xS, sz00), 0.75/0.94 inference('demod', [status(thm)], ['20', '21'])). 0.75/0.94 tff('39', plain, 0.75/0.94 (~ aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | aElementOf0(slcrc0, sdtlbdtrb0(xc, sdtlpdtrp0(xc, slcrc0)))), 0.75/0.94 inference('demod', [status(thm)], ['36', '37', '38'])). 0.75/0.94 tff('40', plain, 0.75/0.94 (~ aSet0(xS) 0.75/0.94 | aElementOf0(slcrc0, sdtlbdtrb0(xc, sdtlpdtrp0(xc, slcrc0)))), 0.75/0.94 inference('sup-', [status(thm)], ['18', '39'])). 0.75/0.94 tff('41', plain, aSet0(xS), inference('demod', [status(thm)], ['30', '31'])). 0.75/0.94 tff('42', plain, 0.75/0.94 aElementOf0(slcrc0, sdtlbdtrb0(xc, sdtlpdtrp0(xc, slcrc0))), 0.75/0.94 inference('demod', [status(thm)], ['40', '41'])). 0.75/0.94 tff('43', plain, szDzozmdt0(xc) = slbdtsldtrb0(xS, sz00), 0.75/0.94 inference('demod', [status(thm)], ['20', '21'])). 0.75/0.94 tff(mPttSet, axiom, 0.75/0.94 (![W0,W1]: 0.75/0.94 ((aElement0(W1) & aFunction0(W0)) => 0.75/0.94 aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0))))). 0.75/0.94 tff('44', plain, 0.75/0.94 ![X91, X92]: 0.75/0.94 (~ aFunction0(X91) 0.75/0.94 | ~ aElement0(X92) 0.75/0.94 | aSubsetOf0(sdtlbdtrb0(X91, X92), szDzozmdt0(X91))), 0.75/0.94 inference('cnf', [status(esa)], [mPttSet])). 0.75/0.94 tff('45', plain, 0.75/0.94 ![X0]: 0.75/0.94 ( aSubsetOf0(sdtlbdtrb0(xc, X0), slbdtsldtrb0(xS, sz00)) 0.75/0.94 | ~ aElement0(X0) 0.75/0.94 | ~ aFunction0(xc)), 0.75/0.94 inference('sup+', [status(thm)], ['43', '44'])). 0.75/0.94 tff('46', plain, aFunction0(xc), inference('cnf', [status(esa)], [m__3453])). 0.75/0.94 tff('47', plain, 0.75/0.94 ![X0]: 0.75/0.94 ( aSubsetOf0(sdtlbdtrb0(xc, X0), slbdtsldtrb0(xS, sz00)) 0.75/0.94 | ~ aElement0(X0)), 0.75/0.94 inference('demod', [status(thm)], ['45', '46'])). 0.75/0.94 tff('48', plain, 0.75/0.94 ![X4, X5, X6]: 0.75/0.94 (~ aSubsetOf0(X5, X4) 0.75/0.94 | aElementOf0(X6, X4) 0.75/0.94 | ~ aElementOf0(X6, X5) 0.75/0.94 | ~ aSet0(X4)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSub])). 0.75/0.94 tff('49', plain, 0.75/0.94 ![X0, X1]: 0.75/0.94 (~ aElement0(X0) 0.75/0.94 | ~ aSet0(slbdtsldtrb0(xS, sz00)) 0.75/0.94 | ~ aElementOf0(X1, sdtlbdtrb0(xc, X0)) 0.75/0.94 | aElementOf0(X1, slbdtsldtrb0(xS, sz00))), 0.75/0.94 inference('sup-', [status(thm)], ['47', '48'])). 0.75/0.94 tff('50', plain, szDzozmdt0(xc) = slbdtsldtrb0(xS, sz00), 0.75/0.94 inference('demod', [status(thm)], ['20', '21'])). 0.75/0.94 tff(mDomSet, axiom, (![W0]: (aFunction0(W0) => aSet0(szDzozmdt0(W0))))). 0.75/0.94 tff('51', plain, ![X146]: ( aSet0(szDzozmdt0(X146)) | ~ aFunction0(X146)), 0.75/0.94 inference('cnf', [status(esa)], [mDomSet])). 0.75/0.94 tff('52', plain, ( aSet0(slbdtsldtrb0(xS, sz00)) | ~ aFunction0(xc)), 0.75/0.94 inference('sup+', [status(thm)], ['50', '51'])). 0.75/0.94 tff('53', plain, aFunction0(xc), inference('cnf', [status(esa)], [m__3453])). 0.75/0.94 tff('54', plain, aSet0(slbdtsldtrb0(xS, sz00)), 0.75/0.94 inference('demod', [status(thm)], ['52', '53'])). 0.75/0.94 tff('55', plain, 0.75/0.94 ![X0, X1]: 0.75/0.94 (~ aElement0(X0) 0.75/0.94 | ~ aElementOf0(X1, sdtlbdtrb0(xc, X0)) 0.75/0.94 | aElementOf0(X1, slbdtsldtrb0(xS, sz00))), 0.75/0.94 inference('demod', [status(thm)], ['49', '54'])). 0.75/0.94 tff('56', plain, 0.75/0.94 ( aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | ~ aElement0(sdtlpdtrp0(xc, slcrc0))), 0.75/0.94 inference('sup-', [status(thm)], ['42', '55'])). 0.75/0.94 tff('57', plain, aElement0(sdtlpdtrp0(xc, slcrc0)), 0.75/0.94 inference('demod', [status(thm)], ['27', '32'])). 0.75/0.94 tff('58', plain, aElementOf0(slcrc0, slbdtsldtrb0(xS, sz00)), 0.75/0.94 inference('demod', [status(thm)], ['56', '57'])). 0.75/0.94 tff('59', plain, ![X75]: ( aSubsetOf0(X75, X75) | ~ aSet0(X75)), 0.75/0.94 inference('cnf', [status(esa)], [mSubRefl])). 0.75/0.94 tff('60', plain, szDzozmdt0(xc) = slbdtsldtrb0(xS, sz00), 0.75/0.94 inference('demod', [status(thm)], ['20', '21'])). 0.75/0.94 tff(mDefSImg, axiom, 0.75/0.94 (![W0]: 0.75/0.94 (aFunction0(W0) => 0.75/0.94 (![W1]: 0.75/0.94 (aSubsetOf0(W1,szDzozmdt0(W0)) => 0.75/0.94 (![W2]: 0.75/0.94 ((W2 = sdtlcdtrc0(W0,W1)) <=> 0.75/0.94 (aSet0(W2) & 0.75/0.94 (![W3]: 0.75/0.94 (aElementOf0(W3,W2) <=> 0.75/0.94 (?[W4]: ((sdtlpdtrp0(W0,W4) = W3) & aElementOf0(W4,W1))))))))))))). 0.75/0.94 tff('61', plain, 0.75/0.94 ![X50, X51, X52, X54, X55]: 0.75/0.94 (~ aSubsetOf0(X50, szDzozmdt0(X51)) 0.75/0.94 | X52 != sdtlcdtrc0(X51, X50) 0.75/0.94 | aElementOf0(X54, X52) 0.75/0.94 | ~ aElementOf0(X55, X50) 0.75/0.94 | sdtlpdtrp0(X51, X55) != X54 0.75/0.94 | ~ aFunction0(X51)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSImg])). 0.75/0.94 tff('62', plain, 0.75/0.94 ![X50, X51, X55]: 0.75/0.94 (~ aFunction0(X51) 0.75/0.94 | ~ aElementOf0(X55, X50) 0.75/0.94 | aElementOf0(sdtlpdtrp0(X51, X55), sdtlcdtrc0(X51, X50)) 0.75/0.94 | ~ aSubsetOf0(X50, szDzozmdt0(X51))), 0.75/0.94 inference('simplify', [status(thm)], ['61'])). 0.75/0.94 tff('63', plain, 0.75/0.94 ![X0, X1]: 0.75/0.94 (~ aSubsetOf0(X0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | aElementOf0(sdtlpdtrp0(xc, X1), sdtlcdtrc0(xc, X0)) 0.75/0.94 | ~ aElementOf0(X1, X0) 0.75/0.94 | ~ aFunction0(xc)), 0.75/0.94 inference('sup-', [status(thm)], ['60', '62'])). 0.75/0.94 tff('64', plain, aFunction0(xc), inference('cnf', [status(esa)], [m__3453])). 0.75/0.94 tff('65', plain, 0.75/0.94 ![X0, X1]: 0.75/0.94 (~ aSubsetOf0(X0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | aElementOf0(sdtlpdtrp0(xc, X1), sdtlcdtrc0(xc, X0)) 0.75/0.94 | ~ aElementOf0(X1, X0)), 0.75/0.94 inference('demod', [status(thm)], ['63', '64'])). 0.75/0.94 tff('66', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aSet0(slbdtsldtrb0(xS, sz00)) 0.75/0.94 | ~ aElementOf0(X0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | aElementOf0(sdtlpdtrp0(xc, X0), 0.75/0.94 sdtlcdtrc0(xc, slbdtsldtrb0(xS, sz00)))), 0.75/0.94 inference('sup-', [status(thm)], ['59', '65'])). 0.75/0.94 tff('67', plain, aSet0(slbdtsldtrb0(xS, sz00)), 0.75/0.94 inference('demod', [status(thm)], ['52', '53'])). 0.75/0.94 tff('68', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aElementOf0(X0, slbdtsldtrb0(xS, sz00)) 0.75/0.94 | aElementOf0(sdtlpdtrp0(xc, X0), 0.75/0.94 sdtlcdtrc0(xc, slbdtsldtrb0(xS, sz00)))), 0.75/0.94 inference('demod', [status(thm)], ['66', '67'])). 0.75/0.94 tff('69', plain, 0.75/0.94 aElementOf0(sdtlpdtrp0(xc, slcrc0), 0.75/0.94 sdtlcdtrc0(xc, slbdtsldtrb0(xS, sz00))), 0.75/0.94 inference('sup-', [status(thm)], ['58', '68'])). 0.75/0.94 tff('70', plain, aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT), 0.75/0.94 inference('cnf', [status(esa)], [m__3453])). 0.75/0.94 tff('71', plain, szDzozmdt0(xc) = slbdtsldtrb0(xS, sz00), 0.75/0.94 inference('demod', [status(thm)], ['20', '21'])). 0.75/0.94 tff('72', plain, aSubsetOf0(sdtlcdtrc0(xc, slbdtsldtrb0(xS, sz00)), xT), 0.75/0.94 inference('demod', [status(thm)], ['70', '71'])). 0.75/0.94 tff('73', plain, 0.75/0.94 ![X4, X5, X6]: 0.75/0.94 (~ aSubsetOf0(X5, X4) 0.75/0.94 | aElementOf0(X6, X4) 0.75/0.94 | ~ aElementOf0(X6, X5) 0.75/0.94 | ~ aSet0(X4)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSub])). 0.75/0.94 tff('74', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aSet0(xT) 0.75/0.94 | ~ aElementOf0(X0, sdtlcdtrc0(xc, slbdtsldtrb0(xS, sz00))) 0.75/0.94 | aElementOf0(X0, xT)), 0.75/0.94 inference('sup-', [status(thm)], ['72', '73'])). 0.75/0.94 tff(m__3291, axiom, (isFinite0(xT) & aSet0(xT))). 0.75/0.94 tff('75', plain, aSet0(xT), inference('cnf', [status(esa)], [m__3291])). 0.75/0.94 tff('76', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aElementOf0(X0, sdtlcdtrc0(xc, slbdtsldtrb0(xS, sz00))) 0.75/0.94 | aElementOf0(X0, xT)), 0.75/0.94 inference('demod', [status(thm)], ['74', '75'])). 0.75/0.94 tff('77', plain, aElementOf0(sdtlpdtrp0(xc, slcrc0), xT), 0.75/0.94 inference('sup-', [status(thm)], ['69', '76'])). 0.75/0.94 tff('78', plain, ![X75]: ( aSubsetOf0(X75, X75) | ~ aSet0(X75)), 0.75/0.94 inference('cnf', [status(esa)], [mSubRefl])). 0.75/0.94 tff('79', plain, 0.75/0.94 ![X128, X129]: 0.75/0.94 (~ aSubsetOf0(X128, xS) 0.75/0.94 | aElementOf0(sk_W2_5(X128, X129), slbdtsldtrb0(X128, xK)) 0.75/0.94 | ~ isCountable0(X128) 0.75/0.94 | ~ aElementOf0(X129, xT)), 0.75/0.94 inference('cnf', [status(esa)], [zf_stmt_0])). 0.75/0.94 tff('80', plain, xK = sz00, inference('cnf', [status(esa)], [zf_stmt_0])). 0.75/0.94 tff('81', plain, 0.75/0.94 ![X128, X129]: 0.75/0.94 (~ aSubsetOf0(X128, xS) 0.75/0.94 | aElementOf0(sk_W2_5(X128, X129), slbdtsldtrb0(X128, sz00)) 0.75/0.94 | ~ isCountable0(X128) 0.75/0.94 | ~ aElementOf0(X129, xT)), 0.75/0.94 inference('demod', [status(thm)], ['79', '80'])). 0.75/0.94 tff('82', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aSet0(xS) 0.75/0.94 | ~ aElementOf0(X0, xT) 0.75/0.94 | ~ isCountable0(xS) 0.75/0.94 | aElementOf0(sk_W2_5(xS, X0), slbdtsldtrb0(xS, sz00))), 0.75/0.94 inference('sup-', [status(thm)], ['78', '81'])). 0.75/0.94 tff('83', plain, aSet0(xS), inference('demod', [status(thm)], ['30', '31'])). 0.75/0.94 tff('84', plain, isCountable0(xS), 0.75/0.94 inference('cnf', [status(esa)], [m__3435])). 0.75/0.94 tff('85', plain, 0.75/0.94 ![X0]: 0.75/0.94 (~ aElementOf0(X0, xT) 0.75/0.94 | aElementOf0(sk_W2_5(xS, X0), slbdtsldtrb0(xS, sz00))), 0.75/0.94 inference('demod', [status(thm)], ['82', '83', '84'])). 0.75/0.94 tff('86', plain, 0.75/0.94 aElementOf0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)), slbdtsldtrb0(xS, sz00)), 0.75/0.94 inference('sup-', [status(thm)], ['77', '85'])). 0.75/0.94 tff('87', plain, 0.75/0.94 ![X38, X39, X40, X41]: 0.75/0.94 (~ aSet0(X38) 0.75/0.94 | ~ aElementOf0(X39, szNzAzT0) 0.75/0.94 | ~ aElementOf0(X41, X40) 0.75/0.94 | sbrdtbr0(X41) = X39 0.75/0.94 | X40 != slbdtsldtrb0(X38, X39)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSel])). 0.75/0.94 tff('88', plain, 0.75/0.94 ![X38, X39, X41]: 0.75/0.94 (sbrdtbr0(X41) = X39 0.75/0.94 | ~ aElementOf0(X41, slbdtsldtrb0(X38, X39)) 0.75/0.94 | ~ aElementOf0(X39, szNzAzT0) 0.75/0.94 | ~ aSet0(X38)), 0.75/0.94 inference('simplify', [status(thm)], ['87'])). 0.75/0.94 tff('89', plain, 0.75/0.94 (~ aSet0(xS) 0.75/0.94 | ~ aElementOf0(sz00, szNzAzT0) 0.75/0.94 | sbrdtbr0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0))) = sz00), 0.75/0.94 inference('sup-', [status(thm)], ['86', '88'])). 0.75/0.94 tff('90', plain, aSet0(xS), inference('demod', [status(thm)], ['30', '31'])). 0.75/0.94 tff('91', plain, aElementOf0(sz00, szNzAzT0), 0.75/0.94 inference('cnf', [status(esa)], [mZeroNum])). 0.75/0.94 tff('92', plain, sbrdtbr0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0))) = sz00, 0.75/0.94 inference('demod', [status(thm)], ['89', '90', '91'])). 0.75/0.94 tff('93', plain, 0.75/0.94 ![X74]: (sz00 != sbrdtbr0(X74) | slcrc0 = X74 | ~ aSet0(X74)), 0.75/0.94 inference('cnf', [status(esa)], [mCardEmpty])). 0.75/0.94 tff('94', plain, 0.75/0.94 (sz00 != sz00 0.75/0.94 | ~ aSet0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0))) 0.75/0.94 | slcrc0 = sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0))), 0.75/0.94 inference('sup-', [status(thm)], ['92', '93'])). 0.75/0.94 tff('95', plain, 0.75/0.94 (slcrc0 = sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)) 0.75/0.94 | ~ aSet0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)))), 0.75/0.94 inference('simplify', [status(thm)], ['94'])). 0.75/0.94 tff('96', plain, 0.75/0.94 aElementOf0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)), slbdtsldtrb0(xS, sz00)), 0.75/0.94 inference('sup-', [status(thm)], ['77', '85'])). 0.75/0.94 tff('97', plain, 0.75/0.94 ![X38, X39, X40, X41]: 0.75/0.94 (~ aSet0(X38) 0.75/0.94 | ~ aElementOf0(X39, szNzAzT0) 0.75/0.94 | ~ aElementOf0(X41, X40) 0.75/0.94 | aSubsetOf0(X41, X38) 0.75/0.94 | X40 != slbdtsldtrb0(X38, X39)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSel])). 0.75/0.94 tff('98', plain, 0.75/0.94 ![X38, X39, X41]: 0.75/0.94 ( aSubsetOf0(X41, X38) 0.75/0.94 | ~ aElementOf0(X41, slbdtsldtrb0(X38, X39)) 0.75/0.94 | ~ aElementOf0(X39, szNzAzT0) 0.75/0.94 | ~ aSet0(X38)), 0.75/0.94 inference('simplify', [status(thm)], ['97'])). 0.75/0.94 tff('99', plain, 0.75/0.94 (~ aSet0(xS) 0.75/0.94 | ~ aElementOf0(sz00, szNzAzT0) 0.75/0.94 | aSubsetOf0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)), xS)), 0.75/0.94 inference('sup-', [status(thm)], ['96', '98'])). 0.75/0.94 tff('100', plain, aSet0(xS), inference('demod', [status(thm)], ['30', '31'])). 0.75/0.94 tff('101', plain, aElementOf0(sz00, szNzAzT0), 0.75/0.94 inference('cnf', [status(esa)], [mZeroNum])). 0.75/0.94 tff('102', plain, aSubsetOf0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)), xS), 0.75/0.94 inference('demod', [status(thm)], ['99', '100', '101'])). 0.75/0.94 tff('103', plain, 0.75/0.94 ![X4, X5]: (~ aSubsetOf0(X5, X4) | aSet0(X5) | ~ aSet0(X4)), 0.75/0.94 inference('cnf', [status(esa)], [mDefSub])). 0.75/0.94 tff('104', plain, 0.75/0.94 (~ aSet0(xS) | aSet0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)))), 0.75/0.94 inference('sup-', [status(thm)], ['102', '103'])). 0.75/0.94 tff('105', plain, aSet0(xS), inference('demod', [status(thm)], ['30', '31'])). 0.75/0.94 tff('106', plain, aSet0(sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0))), 0.75/0.94 inference('demod', [status(thm)], ['104', '105'])). 0.75/0.94 tff('107', plain, slcrc0 = sk_W2_5(xS, sdtlpdtrp0(xc, slcrc0)), 0.75/0.94 inference('demod', [status(thm)], ['95', '106'])). 0.75/0.94 tff('108', plain, 0.75/0.94 ![X128, X129]: 0.75/0.94 (~ aSubsetOf0(X128, xS) 0.75/0.94 | sdtlpdtrp0(xc, sk_W2_5(X128, X129)) != X129 0.75/0.94 | ~ isCountable0(X128) 0.75/0.94 | ~ aElementOf0(X129, xT)), 0.75/0.94 inference('cnf', [status(esa)], [zf_stmt_0])). 0.75/0.94 tff('109', plain, 0.75/0.94 (sdtlpdtrp0(xc, slcrc0) != sdtlpdtrp0(xc, slcrc0) 0.75/0.94 | ~ aElementOf0(sdtlpdtrp0(xc, slcrc0), xT) 0.75/0.94 | ~ isCountable0(xS) 0.75/0.94 | ~ aSubsetOf0(xS, xS)), 0.75/0.94 inference('sup-', [status(thm)], ['107', '108'])). 0.75/0.94 tff('110', plain, aElementOf0(sdtlpdtrp0(xc, slcrc0), xT), 0.75/0.94 inference('sup-', [status(thm)], ['69', '76'])). 0.75/0.94 tff('111', plain, isCountable0(xS), 0.75/0.94 inference('cnf', [status(esa)], [m__3435])). 0.75/0.94 tff('112', plain, 0.75/0.94 (sdtlpdtrp0(xc, slcrc0) != sdtlpdtrp0(xc, slcrc0) | ~ aSubsetOf0(xS, xS)), 0.75/0.94 inference('demod', [status(thm)], ['109', '110', '111'])). 0.75/0.94 tff('113', plain, ~ aSubsetOf0(xS, xS), 0.75/0.94 inference('simplify', [status(thm)], ['112'])). 0.75/0.94 tff('114', plain, ~ aSet0(xS), inference('sup-', [status(thm)], ['0', '113'])). 0.75/0.94 tff('115', plain, aSet0(xS), inference('demod', [status(thm)], ['30', '31'])). 0.75/0.94 tff('116', plain, $false, inference('demod', [status(thm)], ['114', '115'])). 0.75/0.94 0.75/0.94 % SZS output end Refutation 0.75/0.94 0.75/0.95 % Zipperpin 1.5 exiting 0.75/0.95 EOF