0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.bwhRxfLKmJ 0.12/0.34 % Computer : n016.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 % DateTime : Thu Jul 2 08:48:35 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 120 s 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in FO mode 26.10/26.33 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 26.10/26.33 % Running /export/starexec/sandbox2/solver/bin/fo/fo8.sh for 20 26.10/26.33 % Solved by: fo/fo8.sh 26.10/26.33 To remain in the chosen logic fragment, unification with booleans has been disabled. 26.10/26.33 % done 1282 iterations in 1.072s 26.10/26.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 26.10/26.33 % SZS output start Refutation 26.10/26.33 tff(aSatz7_7, axiom, (![Xa,Xp]: (Xp = s(Xa,s(Xa,Xp))))). 26.10/26.33 tff('0', plain, ![X227, X228]: X228 = s(X227, s(X227, X228)), 26.10/26.33 inference('cnf', [status(esa)], [aSatz7_7])). 26.10/26.33 tff('1', plain, ![X227, X228]: X228 = s(X227, s(X227, X228)), 26.10/26.33 inference('cnf', [status(esa)], [aSatz7_7])). 26.10/26.33 tff(aSatz7_9, axiom, (![Xa,Xp,Xq]: ((s(Xa,Xq) != s(Xa,Xp)) | (Xq = Xp)))). 26.10/26.33 tff('2', plain, 26.10/26.33 ![X193, X194, X195]: (s(X193, X195) != s(X193, X194) | X195 = X194), 26.10/26.33 inference('cnf', [status(esa)], [aSatz7_9])). 26.10/26.33 tff('3', plain, ![X193, X195]: '#_fresh_sk2'(X193, s(X193, X195)) = X195, 26.10/26.33 inference('inj_rec', [status(thm)], ['2'])). 26.10/26.33 tff('4', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.10/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.10/26.33 tff('5', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.10/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.10/26.33 tff('6', plain, 26.10/26.33 ![X227, X228]: X228 = '#_fresh_sk2'(X227, '#_fresh_sk2'(X227, X228)), 26.10/26.33 inference('demod', [status(thm)], ['0', '4', '5'])). 26.10/26.33 tff(aSatz7_10b, axiom, (![Xa,Xp]: ((Xa != Xp) | (s(Xa,Xp) = Xp)))). 26.10/26.33 tff('7', plain, ![X127, X128]: (X128 != X127 | s(X128, X127) = X127), 26.10/26.33 inference('cnf', [status(esa)], [aSatz7_10b])). 26.10/26.33 tff('8', plain, ![X127]: s(X127, X127) = X127, 26.10/26.33 inference('simplify', [status(thm)], ['7'])). 26.10/26.33 tff(aSatz7_19, conjecture, 26.10/26.33 (![Xa,Xb,Xp]: ((s(Xb,s(Xa,Xp)) != s(Xa,s(Xb,Xp))) | (Xb = Xa)))). 26.10/26.33 tff(zf_stmt_0, negated_conjecture, 26.10/26.33 (~(![Xa,Xb,Xp]: ((s(Xb,s(Xa,Xp)) != s(Xa,s(Xb,Xp))) | (Xb = Xa))))). 26.10/26.33 tff('9', plain, s(sk_Xb, s(sk_Xa, sk_Xp)) = s(sk_Xa, s(sk_Xb, sk_Xp)), 26.10/26.33 inference('cnf', [status(esa)], [zf_stmt_0])). 26.10/26.33 tff(aSatz7_13, axiom, (![Xp,Xq,Xa]: s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)))). 26.10/26.33 tff('10', plain, 26.12/26.33 ![X196, X197, X198]: s_e(X196, X197, s(X198, X196), s(X198, X197)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_13])). 26.12/26.33 tff('11', plain, 26.12/26.33 ![X0]: s_e(s(sk_Xa, sk_Xp), X0, s(sk_Xa, s(sk_Xb, sk_Xp)), s(sk_Xb, X0)), 26.12/26.33 inference('sup+', [status(thm)], ['9', '10'])). 26.12/26.33 tff('12', plain, 26.12/26.33 s_e(s(sk_Xa, sk_Xp), sk_Xb, s(sk_Xa, s(sk_Xb, sk_Xp)), sk_Xb), 26.12/26.33 inference('sup+', [status(thm)], ['8', '11'])). 26.12/26.33 tff('13', plain, s(sk_Xb, s(sk_Xa, sk_Xp)) = s(sk_Xa, s(sk_Xb, sk_Xp)), 26.12/26.33 inference('cnf', [status(esa)], [zf_stmt_0])). 26.12/26.33 tff('14', plain, ![X227, X228]: X228 = s(X227, s(X227, X228)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_7])). 26.12/26.33 tff('15', plain, s(sk_Xa, sk_Xp) = s(sk_Xb, s(sk_Xa, s(sk_Xb, sk_Xp))), 26.12/26.33 inference('sup+', [status(thm)], ['13', '14'])). 26.12/26.33 tff('16', plain, ![X193, X195]: '#_fresh_sk2'(X193, s(X193, X195)) = X195, 26.12/26.33 inference('inj_rec', [status(thm)], ['2'])). 26.12/26.33 tff('17', plain, 26.12/26.33 '#_fresh_sk2'(sk_Xb, s(sk_Xa, sk_Xp)) = s(sk_Xa, s(sk_Xb, sk_Xp)), 26.12/26.33 inference('sup+', [status(thm)], ['15', '16'])). 26.12/26.33 tff('18', plain, 26.12/26.33 s_e(s(sk_Xa, sk_Xp), sk_Xb, '#_fresh_sk2'(sk_Xb, s(sk_Xa, sk_Xp)), 26.12/26.33 sk_Xb), 26.12/26.33 inference('demod', [status(thm)], ['12', '17'])). 26.12/26.33 tff('19', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('20', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('21', plain, 26.12/26.33 '#_fresh_sk2'(sk_Xb, s(sk_Xa, sk_Xp)) = s(sk_Xa, s(sk_Xb, sk_Xp)), 26.12/26.33 inference('sup+', [status(thm)], ['15', '16'])). 26.12/26.33 tff('22', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('23', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('24', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('25', plain, 26.12/26.33 '#_fresh_sk2'(sk_Xb, '#_fresh_sk2'(sk_Xa, sk_Xp)) 26.12/26.33 = '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp)), 26.12/26.33 inference('demod', [status(thm)], ['21', '22', '23', '24'])). 26.12/26.33 tff('26', plain, 26.12/26.33 s_e('#_fresh_sk2'(sk_Xa, sk_Xp), sk_Xb, 26.12/26.33 '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp)), sk_Xb), 26.12/26.33 inference('demod', [status(thm)], ['18', '19', '20', '25'])). 26.12/26.33 tff(aSatz7_16a, axiom, 26.12/26.33 (![Xp,Xq,Xr,Xcs,Xa]: 26.12/26.33 ((~s_e(Xp,Xq,Xr,Xcs)) | s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs))))). 26.12/26.33 tff('27', plain, 26.12/26.33 ![X161, X162, X163, X164, X165]: 26.12/26.33 (~ s_e(X161, X162, X163, X164) 26.12/26.33 | s_e(s(X165, X161), s(X165, X162), s(X165, X163), s(X165, X164))), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_16a])). 26.12/26.33 tff('28', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('29', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('30', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('31', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('32', plain, 26.12/26.33 ![X161, X162, X163, X164, X165]: 26.12/26.33 (~ s_e(X161, X162, X163, X164) 26.12/26.33 | s_e('#_fresh_sk2'(X165, X161), '#_fresh_sk2'(X165, X162), 26.12/26.33 '#_fresh_sk2'(X165, X163), '#_fresh_sk2'(X165, X164))), 26.12/26.33 inference('demod', [status(thm)], ['27', '28', '29', '30', '31'])). 26.12/26.33 tff('33', plain, 26.12/26.33 ![X0]: 26.12/26.33 s_e('#_fresh_sk2'(X0, '#_fresh_sk2'(sk_Xa, sk_Xp)), 26.12/26.33 '#_fresh_sk2'(X0, sk_Xb), 26.12/26.33 '#_fresh_sk2'(X0, '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp))), 26.12/26.33 '#_fresh_sk2'(X0, sk_Xb)), 26.12/26.33 inference('sup-', [status(thm)], ['26', '32'])). 26.12/26.33 tff('34', plain, 26.12/26.33 s_e(sk_Xp, '#_fresh_sk2'(sk_Xa, sk_Xb), 26.12/26.33 '#_fresh_sk2'(sk_Xa, 26.12/26.33 '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp))), 26.12/26.33 '#_fresh_sk2'(sk_Xa, sk_Xb)), 26.12/26.33 inference('sup+', [status(thm)], ['6', '33'])). 26.12/26.33 tff('35', plain, 26.12/26.33 ![X227, X228]: X228 = '#_fresh_sk2'(X227, '#_fresh_sk2'(X227, X228)), 26.12/26.33 inference('demod', [status(thm)], ['0', '4', '5'])). 26.12/26.33 tff('36', plain, 26.12/26.33 s_e(sk_Xp, '#_fresh_sk2'(sk_Xa, sk_Xb), '#_fresh_sk2'(sk_Xb, sk_Xp), 26.12/26.33 '#_fresh_sk2'(sk_Xa, sk_Xb)), 26.12/26.33 inference('demod', [status(thm)], ['34', '35'])). 26.12/26.33 tff(aSatz2_14, axiom, 26.12/26.33 (![Xa,Xb,Xc,Xd]: (s_e(Xb,Xa,Xd,Xc) | (~s_e(Xa,Xb,Xc,Xd))))). 26.12/26.33 tff('37', plain, 26.12/26.33 ![X153, X154, X155, X156]: 26.12/26.33 ( s_e(X153, X154, X155, X156) | ~ s_e(X154, X153, X156, X155)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz2_14])). 26.12/26.33 tff('38', plain, 26.12/26.33 s_e('#_fresh_sk2'(sk_Xa, sk_Xb), sk_Xp, '#_fresh_sk2'(sk_Xa, sk_Xb), 26.12/26.33 '#_fresh_sk2'(sk_Xb, sk_Xp)), 26.12/26.33 inference('sup-', [status(thm)], ['36', '37'])). 26.12/26.33 tff(d_Defn7_1, axiom, 26.12/26.33 (![Xa,Xm,Xb]: 26.12/26.33 (((~s_m(Xa,Xm,Xb)) | s_e(Xm,Xa,Xm,Xb)) & 26.12/26.33 ((~s_t(Xa,Xm,Xb)) | s_m(Xa,Xm,Xb) | (~s_e(Xm,Xa,Xm,Xb))) & 26.12/26.33 ((~s_m(Xa,Xm,Xb)) | s_t(Xa,Xm,Xb))))). 26.12/26.33 tff('39', plain, 26.12/26.33 ![X177, X178, X180]: 26.12/26.33 (~ s_t(X177, X178, X180) 26.12/26.33 | s_m(X177, X178, X180) 26.12/26.33 | ~ s_e(X178, X177, X178, X180)), 26.12/26.33 inference('cnf', [status(esa)], [d_Defn7_1])). 26.12/26.33 tff('40', plain, 26.12/26.33 ( s_m(sk_Xp, '#_fresh_sk2'(sk_Xa, sk_Xb), '#_fresh_sk2'(sk_Xb, sk_Xp)) 26.12/26.33 | ~ s_t(sk_Xp, '#_fresh_sk2'(sk_Xa, sk_Xb), '#_fresh_sk2'(sk_Xb, sk_Xp))), 26.12/26.33 inference('sup-', [status(thm)], ['38', '39'])). 26.12/26.33 tff(aSatz3_3, axiom, (![Xa1,Xb1]: s_t(Xa1,Xa1,Xb1))). 26.12/26.33 tff('41', plain, ![X221, X222]: s_t(X221, X221, X222), 26.12/26.33 inference('cnf', [status(esa)], [aSatz3_3])). 26.12/26.33 tff('42', plain, 26.12/26.33 ![X227, X228]: X228 = '#_fresh_sk2'(X227, '#_fresh_sk2'(X227, X228)), 26.12/26.33 inference('demod', [status(thm)], ['0', '4', '5'])). 26.12/26.33 tff('43', plain, s(sk_Xb, s(sk_Xa, sk_Xp)) = s(sk_Xa, s(sk_Xb, sk_Xp)), 26.12/26.33 inference('cnf', [status(esa)], [zf_stmt_0])). 26.12/26.33 tff(aSatz7_4a, axiom, (![Xp,Xa]: s_m(Xp,Xa,s(Xa,Xp)))). 26.12/26.33 tff('44', plain, ![X45, X46]: s_m(X45, X46, s(X46, X45)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_4a])). 26.12/26.33 tff('45', plain, s_m(s(sk_Xa, sk_Xp), sk_Xb, s(sk_Xa, s(sk_Xb, sk_Xp))), 26.12/26.33 inference('sup+', [status(thm)], ['43', '44'])). 26.12/26.33 tff('46', plain, 26.12/26.33 '#_fresh_sk2'(sk_Xb, s(sk_Xa, sk_Xp)) = s(sk_Xa, s(sk_Xb, sk_Xp)), 26.12/26.33 inference('sup+', [status(thm)], ['15', '16'])). 26.12/26.33 tff('47', plain, 26.12/26.33 s_m(s(sk_Xa, sk_Xp), sk_Xb, '#_fresh_sk2'(sk_Xb, s(sk_Xa, sk_Xp))), 26.12/26.33 inference('demod', [status(thm)], ['45', '46'])). 26.12/26.33 tff('48', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('49', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('50', plain, 26.12/26.33 s_m('#_fresh_sk2'(sk_Xa, sk_Xp), sk_Xb, 26.12/26.33 '#_fresh_sk2'(sk_Xb, '#_fresh_sk2'(sk_Xa, sk_Xp))), 26.12/26.33 inference('demod', [status(thm)], ['47', '48', '49'])). 26.12/26.33 tff('51', plain, 26.12/26.33 '#_fresh_sk2'(sk_Xb, '#_fresh_sk2'(sk_Xa, sk_Xp)) 26.12/26.33 = '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp)), 26.12/26.33 inference('demod', [status(thm)], ['21', '22', '23', '24'])). 26.12/26.33 tff('52', plain, 26.12/26.33 s_m('#_fresh_sk2'(sk_Xa, sk_Xp), sk_Xb, 26.12/26.33 '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp))), 26.12/26.33 inference('demod', [status(thm)], ['50', '51'])). 26.12/26.33 tff('53', plain, 26.12/26.33 ![X177, X178, X179]: (~ s_m(X177, X178, X179) | s_t(X177, X178, X179)), 26.12/26.33 inference('cnf', [status(esa)], [d_Defn7_1])). 26.12/26.33 tff('54', plain, 26.12/26.33 s_t('#_fresh_sk2'(sk_Xa, sk_Xp), sk_Xb, 26.12/26.33 '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp))), 26.12/26.33 inference('sup-', [status(thm)], ['52', '53'])). 26.12/26.33 tff(aSatz3_5b, axiom, 26.12/26.33 (![Xa,Xb,Xd,Xc]: ((~s_t(Xa,Xb,Xd)) | (~s_t(Xb,Xc,Xd)) | s_t(Xa,Xc,Xd)))). 26.12/26.33 tff('55', plain, 26.12/26.33 ![X168, X169, X170, X171]: 26.12/26.33 (~ s_t(X168, X169, X170) 26.12/26.33 | s_t(X168, X171, X170) 26.12/26.33 | ~ s_t(X169, X171, X170)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz3_5b])). 26.12/26.33 tff('56', plain, 26.12/26.33 ![X0]: 26.12/26.33 (~ s_t(sk_Xb, X0, '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp))) 26.12/26.33 | s_t('#_fresh_sk2'(sk_Xa, sk_Xp), X0, 26.12/26.33 '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp)))), 26.12/26.33 inference('sup-', [status(thm)], ['54', '55'])). 26.12/26.33 tff(aSatz7_15b, axiom, 26.12/26.33 (![Xp,Xq,Xr,Xa]: ((~s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))) | s_t(Xp,Xq,Xr)))). 26.12/26.33 tff('57', plain, 26.12/26.33 ![X52, X53, X54, X55]: 26.12/26.33 ( s_t(X52, X53, X54) | ~ s_t(s(X55, X52), s(X55, X53), s(X55, X54))), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_15b])). 26.12/26.33 tff('58', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('59', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('60', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('61', plain, 26.12/26.33 ![X52, X53, X54, X55]: 26.12/26.33 ( s_t(X52, X53, X54) 26.12/26.33 | ~ s_t('#_fresh_sk2'(X55, X52), '#_fresh_sk2'(X55, X53), 26.12/26.33 '#_fresh_sk2'(X55, X54))), 26.12/26.33 inference('demod', [status(thm)], ['57', '58', '59', '60'])). 26.12/26.33 tff('62', plain, 26.12/26.33 ![X0]: 26.12/26.33 (~ s_t(sk_Xb, '#_fresh_sk2'(sk_Xa, X0), 26.12/26.33 '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp))) 26.12/26.33 | s_t(sk_Xp, X0, '#_fresh_sk2'(sk_Xb, sk_Xp))), 26.12/26.33 inference('sup-', [status(thm)], ['56', '61'])). 26.12/26.33 tff('63', plain, 26.12/26.33 ![X0]: 26.12/26.33 (~ s_t(sk_Xb, X0, '#_fresh_sk2'(sk_Xa, '#_fresh_sk2'(sk_Xb, sk_Xp))) 26.12/26.33 | s_t(sk_Xp, '#_fresh_sk2'(sk_Xa, X0), '#_fresh_sk2'(sk_Xb, sk_Xp))), 26.12/26.33 inference('sup-', [status(thm)], ['42', '62'])). 26.12/26.33 tff('64', plain, 26.12/26.33 s_t(sk_Xp, '#_fresh_sk2'(sk_Xa, sk_Xb), '#_fresh_sk2'(sk_Xb, sk_Xp)), 26.12/26.33 inference('sup-', [status(thm)], ['41', '63'])). 26.12/26.33 tff('65', plain, 26.12/26.33 s_m(sk_Xp, '#_fresh_sk2'(sk_Xa, sk_Xb), '#_fresh_sk2'(sk_Xb, sk_Xp)), 26.12/26.33 inference('demod', [status(thm)], ['40', '64'])). 26.12/26.33 tff('66', plain, ![X45, X46]: s_m(X45, X46, s(X46, X45)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_4a])). 26.12/26.33 tff(aSatz7_17, axiom, 26.12/26.33 (![Xp,Xa,Xq,Xb]: ((~s_m(Xp,Xa,Xq)) | (~s_m(Xp,Xb,Xq)) | (Xb = Xa)))). 26.12/26.33 tff('67', plain, 26.12/26.33 ![X37, X38, X39, X40]: 26.12/26.33 (~ s_m(X37, X38, X39) | X40 = X38 | ~ s_m(X37, X40, X39)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_17])). 26.12/26.33 tff('68', plain, ![X0, X1, X2]: (~ s_m(X0, X2, s(X1, X0)) | X2 = X1), 26.12/26.33 inference('sup-', [status(thm)], ['66', '67'])). 26.12/26.33 tff('69', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('70', plain, 26.12/26.33 ![X0, X1, X2]: (~ s_m(X0, X2, '#_fresh_sk2'(X1, X0)) | X2 = X1), 26.12/26.33 inference('demod', [status(thm)], ['68', '69'])). 26.12/26.33 tff('71', plain, '#_fresh_sk2'(sk_Xa, sk_Xb) = sk_Xb, 26.12/26.33 inference('sup-', [status(thm)], ['65', '70'])). 26.12/26.33 tff('72', plain, ![X227, X228]: X228 = s(X227, s(X227, X228)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_7])). 26.12/26.33 tff(aSatz7_18, axiom, (![Xa,Xp,Xb]: ((Xb = Xa) | (s(Xb,Xp) != s(Xa,Xp))))). 26.12/26.33 tff('73', plain, 26.12/26.33 ![X124, X125, X126]: (X125 = X124 | s(X125, X126) != s(X124, X126)), 26.12/26.33 inference('cnf', [status(esa)], [aSatz7_18])). 26.12/26.33 tff('74', plain, ![X125, X126]: '#_fresh_sk1'(X126, s(X125, X126)) = X125, 26.12/26.33 inference('inj_rec', [status(thm)], ['73'])). 26.12/26.33 tff('75', plain, ![X0, X1]: '#_fresh_sk1'(s(X1, X0), X0) = X1, 26.12/26.33 inference('sup+', [status(thm)], ['72', '74'])). 26.12/26.33 tff('76', plain, ![X0, X1]: '#_fresh_sk2'(X1, X0) = s(X1, X0), 26.12/26.33 inference('sup+', [status(thm)], ['1', '3'])). 26.12/26.33 tff('77', plain, ![X0, X1]: '#_fresh_sk1'('#_fresh_sk2'(X1, X0), X0) = X1, 26.12/26.33 inference('demod', [status(thm)], ['75', '76'])). 26.12/26.33 tff('78', plain, '#_fresh_sk1'(sk_Xb, sk_Xb) = sk_Xa, 26.12/26.33 inference('sup+', [status(thm)], ['71', '77'])). 26.12/26.33 tff('79', plain, ![X127]: s(X127, X127) = X127, 26.12/26.33 inference('simplify', [status(thm)], ['7'])). 26.12/26.33 tff('80', plain, ![X125, X126]: '#_fresh_sk1'(X126, s(X125, X126)) = X125, 26.12/26.33 inference('inj_rec', [status(thm)], ['73'])). 26.12/26.33 tff('81', plain, ![X0]: '#_fresh_sk1'(X0, X0) = X0, 26.12/26.33 inference('sup+', [status(thm)], ['79', '80'])). 26.12/26.33 tff('82', plain, sk_Xb = sk_Xa, 26.12/26.33 inference('demod', [status(thm)], ['78', '81'])). 26.12/26.33 tff('83', plain, sk_Xb != sk_Xa, inference('cnf', [status(esa)], [zf_stmt_0])). 26.12/26.33 tff('84', plain, $false, 26.12/26.33 inference('simplify_reflect-', [status(thm)], ['82', '83'])). 26.12/26.33 26.12/26.33 % SZS output end Refutation 26.12/26.33 26.12/26.34 % Zipperpin 1.5 exiting 26.12/26.34 EOF