0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.audjM1CaSt 0.13/0.34 % Computer : n006.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 180 0.13/0.34 % DateTime : Thu Aug 29 16:53:54 EDT 2019 0.13/0.34 % CPUTime : 35.62/36.09 % Running portfolio for 180 s 35.62/36.09 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 35.62/36.09 % TempDir : /export/starexec/sandbox/tmp/tmp.audjM1CaSt 35.62/36.09 % Recognized as monomorphic HO. 35.62/36.09 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 35.62/36.09 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 35.62/36.09 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 35.62/36.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 35.62/36.09 % Solved by: pragmatic.rudimentary.sh 35.62/36.09 % done 642 iterations in 1.876s 35.62/36.09 % hashcons stats for terms: size 4096, num 1509, sum length 13238, buckets: small 3, median 3, big 13 35.62/36.09 % proof state stats: {active 114, passive 1997, simpl 0} 35.62/36.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 35.62/36.09 % SZS output start Refutation 35.62/36.09 tff(cTHM535, conjecture, 35.62/36.09 ((![Xs:(a > $o > $o > $o)]: 35.62/36.09 ((![X:(a > $o > $o)]: (Xs(X) => (?[Xt:(a > $o)]: X(Xt)))) => 35.62/36.09 (?[Xf:((a > $o > $o * a) > $o)]: 35.62/36.09 (![X:(a > $o > $o)]: (Xs(X) => X(Xf(X))))))) => 35.62/36.09 (![A:(a > $o > $o > $o)]: 35.62/36.09 (((![X:(a > $o > $o)]: (A(X) => (?[Xu:(a > $o)]: X(Xu)))) & 35.62/36.09 (?[X:(a > $o > $o)]: A(X))) => 35.62/36.09 ((^[Xx:a]: 35.62/36.09 (![Xa:(a > $o > $o)]: 35.62/36.09 (A(Xa) => (?[Xb:(a > $o)]: (Xb(Xx) & Xa(Xb)))))) = 35.62/36.09 (^[Xx:a]: 35.62/36.09 (?[Xf:((a > $o > $o * a) > $o)]: 35.62/36.09 (![Xa:(a > $o > $o)]: (A(Xa) => (Xa(Xf(Xa)) & Xf(Xa,Xx))))))))))). 35.62/36.09 tff(zf_stmt_0, negated_conjecture, 35.62/36.09 (~ 35.62/36.09 ((![Xs:(a > $o > $o > $o)]: 35.62/36.09 ((![X:(a > $o > $o)]: (Xs(X) => (?[Xt:(a > $o)]: X(Xt)))) => 35.62/36.09 (?[Xf:((a > $o > $o * a) > $o)]: 35.62/36.09 (![X:(a > $o > $o)]: (Xs(X) => X(Xf(X))))))) => 35.62/36.09 (![A:(a > $o > $o > $o)]: 35.62/36.09 (((![X:(a > $o > $o)]: (A(X) => (?[Xu:(a > $o)]: X(Xu)))) & 35.62/36.09 (?[X:(a > $o > $o)]: A(X))) => 35.62/36.09 ((^[Xx:a]: 35.62/36.09 (![Xa:(a > $o > $o)]: 35.62/36.09 (A(Xa) => (?[Xb:(a > $o)]: (Xb(Xx) & Xa(Xb)))))) = 35.62/36.09 (^[Xx:a]: 35.62/36.09 (?[Xf:((a > $o > $o * a) > $o)]: 35.62/36.09 (![Xa:(a > $o > $o)]: (A(Xa) => (Xa(Xf(Xa)) & Xf(Xa,Xx)))))))))))). 35.62/36.09 tff('0', plain, 35.62/36.09 (^[Y0 : a]: 35.62/36.09 (!! 35.62/36.09 (^[Y1 : a > $o > $o]: 35.62/36.09 (sk_A_(Y1) => (?? (^[Y2 : a > $o]: (Y2(Y0) & Y1(Y2)))))))) 35.62/36.09 != (^[Y0 : a]: 35.62/36.09 (?? 35.62/36.09 (^[Y1 : (a > $o > $o * a) > $o]: 35.62/36.09 (!! 35.62/36.09 (^[Y2 : a > $o > $o]: 35.62/36.09 (sk_A_(Y2) => (Y2(Y1(Y2)) & Y1(Y2, Y0)))))))), 35.62/36.09 inference('cnf', [status(esa)], [zf_stmt_0])). 35.62/36.09 tff('1', plain, 35.62/36.09 (^[Y0 : a]: 35.62/36.09 (!! 35.62/36.09 (^[Y1 : a > $o > $o]: 35.62/36.09 (sk_A_(Y1) => (?? (^[Y2 : a > $o]: (Y2(Y0) & Y1(Y2))))))))( 35.62/36.09 '#fsk1') 35.62/36.09 != (^[Y0 : a]: 35.62/36.09 (?? 35.62/36.09 (^[Y1 : (a > $o > $o * a) > $o]: 35.62/36.09 (!! 35.62/36.09 (^[Y2 : a > $o > $o]: 35.62/36.09 (sk_A_(Y2) => (Y2(Y1(Y2)) & Y1(Y2, Y0))))))))('#fsk1'), 35.62/36.09 inference('neg_ext', [status(thm)], ['0'])). 35.62/36.09 tff('2', plain, 35.62/36.09 (!! 35.62/36.09 (^[Y0 : a > $o > $o]: 35.62/36.09 (sk_A_(Y0) => (?? (^[Y1 : a > $o]: (Y1('#fsk1') & Y0(Y1))))))) 35.62/36.09 != (?? 35.62/36.09 (^[Y0 : (a > $o > $o * a) > $o]: 35.62/36.09 (!! 35.62/36.09 (^[Y1 : a > $o > $o]: 35.62/36.09 (sk_A_(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#fsk1'))))))), 35.62/36.09 inference('lambda-normalize', [status(thm)], ['1'])). 35.62/36.09 tff('3', plain, 35.62/36.09 (~ (!! 35.62/36.09 (^[Y0 : a > $o > $o]: 35.62/36.09 (sk_A_(Y0) => (?? (^[Y1 : a > $o]: (Y1('#fsk1') & Y0(Y1))))))) 35.62/36.09 | ~ (?? 35.62/36.09 (^[Y0 : (a > $o > $o * a) > $o]: 35.62/36.09 (!! 35.62/36.09 (^[Y1 : a > $o > $o]: 35.62/36.09 (sk_A_(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#fsk1')))))))), 35.62/36.09 inference('cnf_fool', [status(thm)], ['2'])). 35.62/36.09 tff('4', plain, 35.62/36.09 ![X0 : (a > $o > $o * a) > $o, X1 : a > $o]: 35.62/36.09 (sk_A_(sk_X3_1(X0)) | ~ sk_X2_1(X1) | ~ X1('#fsk1')), 35.62/36.09 inference('cnf_otf', [status(thm)], ['3'])). 35.62/36.09 tff('5', plain, 35.62/36.09 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0))) 35.62/36.09 <= ((![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0)))), 35.62/36.09 inference('split', [status(esa)], ['4'])). 35.62/36.09 tff('6', plain, 35.62/36.09 ((!! 35.62/36.09 (^[Y0 : a > $o > $o]: 35.62/36.09 (sk_A_(Y0) => (?? (^[Y1 : a > $o]: (Y1('#fsk1') & Y0(Y1))))))) 35.62/36.09 | (?? 35.62/36.09 (^[Y0 : (a > $o > $o * a) > $o]: 35.62/36.09 (!! 35.62/36.09 (^[Y1 : a > $o > $o]: 35.62/36.09 (sk_A_(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#fsk1')))))))), 35.62/36.09 inference('cnf_fool', [status(thm)], ['2'])). 35.62/36.09 tff('7', plain, 35.62/36.09 ![X0 : a > $o > $o, X1 : a > $o > $o]: 35.62/36.09 (~ sk_A_(X0) | X0(sk_X2_(X0)) | ~ sk_A_(X1) | sk_X3_(X1, '#fsk1')), 35.62/36.09 inference('cnf_otf', [status(thm)], ['6'])). 35.62/36.09 tff('8', plain, 35.62/36.09 (![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))) 35.62/36.09 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1')))), 35.62/36.09 inference('split', [status(esa)], ['7'])). 35.62/36.09 tff('9', plain, 35.62/36.09 (![X0 : (a > $o > $o * a) > $o]: sk_X3_(sk_X3_1(X0), '#fsk1')) 35.62/36.09 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))) & 35.62/36.09 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0)))), 35.62/36.09 inference('sup-', [status(thm)], ['5', '8'])). 35.62/36.09 tff('10', plain, 35.62/36.09 ![X0 : a > $o > $o, X1 : a > $o > $o]: 35.62/36.09 (~ sk_A_(X0) | X0(sk_X2_(X0)) | ~ sk_A_(X1) | X1(sk_X3_(X1))), 35.62/36.10 inference('cnf_otf', [status(thm)], ['6'])). 35.62/36.10 tff('11', plain, 35.62/36.10 (![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) 35.62/36.10 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1))))), 35.62/36.10 inference('split', [status(esa)], ['10'])). 35.62/36.10 tff('12', plain, 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_X3_1(X0, sk_X3_(sk_X3_1(X0)))) 35.62/36.10 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) & 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0)))), 35.62/36.10 inference('sup-', [status(thm)], ['5', '11'])). 35.62/36.10 tff('13', plain, 35.62/36.10 ![X0 : (a > $o > $o * a) > $o, X1 : a > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) 35.62/36.10 | ~ X0(sk_X3_1(X0), '#fsk1') 35.62/36.10 | ~ sk_X2_1(X1) 35.62/36.10 | ~ X1('#fsk1')), 35.62/36.10 inference('cnf_otf', [status(thm)], ['3'])). 35.62/36.10 tff('14', plain, 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))) 35.62/36.10 <= ((![X0 : (a > $o > $o * a) > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1')))), 35.62/36.10 inference('split', [status(esa)], ['13'])). 35.62/36.10 tff('15', plain, 35.62/36.10 (~ sk_X3_(sk_X3_1(sk_X3_), '#fsk1')) 35.62/36.10 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) & 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))) & 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0)))), 35.62/36.10 inference('sup-', [status(thm)], ['12', '14'])). 35.62/36.10 tff('16', plain, 35.62/36.10 ~ (![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) | 35.62/36.10 ~ (![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))) | 35.62/36.10 ~ (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0))) | 35.62/36.10 ~ 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))), 35.62/36.10 inference('sup-', [status(thm)], ['9', '15'])). 35.62/36.10 tff('17', plain, 35.62/36.10 ![X0 : (a > $o > $o * a) > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) 35.62/36.10 | ~ X0(sk_X3_1(X0), '#fsk1') 35.62/36.10 | sk_A_(sk_X2_1)), 35.62/36.10 inference('cnf_otf', [status(thm)], ['3'])). 35.62/36.10 tff('18', plain, 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))) | 35.62/36.10 (sk_A_(sk_X2_1)), inference('split', [status(esa)], ['17'])). 35.62/36.10 tff('19', plain, (sk_A_(sk_X2_1)) <= ((sk_A_(sk_X2_1))), 35.62/36.10 inference('split', [status(esa)], ['17'])). 35.62/36.10 tff('20', plain, 35.62/36.10 ![X0 : a > $o > $o, X1 : a > $o > $o]: 35.62/36.10 (~ sk_A_(X0) | sk_X2_(X0, '#fsk1') | ~ sk_A_(X1) | X1(sk_X3_(X1))), 35.62/36.10 inference('cnf_otf', [status(thm)], ['6'])). 35.62/36.10 tff('21', plain, 35.62/36.10 (![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1')))), 35.62/36.10 inference('split', [status(esa)], ['20'])). 35.62/36.10 tff('22', plain, 35.62/36.10 (sk_X2_(sk_X2_1, '#fsk1')) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))) & 35.62/36.10 (sk_A_(sk_X2_1))), 35.62/36.10 inference('sup-', [status(thm)], ['19', '21'])). 35.62/36.10 tff('23', plain, 35.62/36.10 (![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0))))), 35.62/36.10 inference('split', [status(esa)], ['10'])). 35.62/36.10 tff('24', plain, 35.62/36.10 (sk_X2_1(sk_X2_(sk_X2_1))) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))) & 35.62/36.10 (sk_A_(sk_X2_1))), 35.62/36.10 inference('sup-', [status(thm)], ['19', '23'])). 35.62/36.10 tff('25', plain, 35.62/36.10 (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))) 35.62/36.10 <= ((![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1')))), 35.62/36.10 inference('split', [status(esa)], ['13'])). 35.62/36.10 tff('26', plain, 35.62/36.10 (~ sk_X2_(sk_X2_1, '#fsk1')) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))) & 35.62/36.10 (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))) & 35.62/36.10 (sk_A_(sk_X2_1))), 35.62/36.10 inference('sup-', [status(thm)], ['24', '25'])). 35.62/36.10 tff('27', plain, 35.62/36.10 ~ (![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))) | 35.62/36.10 ~ (sk_A_(sk_X2_1)) | 35.62/36.10 ~ (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))) | 35.62/36.10 ~ (![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))), 35.62/36.10 inference('sup-', [status(thm)], ['22', '26'])). 35.62/36.10 tff('28', plain, 35.62/36.10 (![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))) | 35.62/36.10 (![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))), 35.62/36.10 inference('split', [status(esa)], ['7'])). 35.62/36.10 tff('29', plain, 35.62/36.10 ![X0 : a > $o > $o, X1 : a > $o > $o]: 35.62/36.10 (~ sk_A_(X0) | sk_X2_(X0, '#fsk1') | ~ sk_A_(X1) | sk_X3_(X1, '#fsk1')), 35.62/36.10 inference('cnf_otf', [status(thm)], ['6'])). 35.62/36.10 tff('30', plain, 35.62/36.10 (![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))) | 35.62/36.10 (![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))), 35.62/36.10 inference('split', [status(esa)], ['29'])). 35.62/36.10 tff('31', plain, 35.62/36.10 (![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) | 35.62/36.10 (![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))), 35.62/36.10 inference('split', [status(esa)], ['10'])). 35.62/36.10 tff('32', plain, 35.62/36.10 (![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) | 35.62/36.10 (![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))), 35.62/36.10 inference('split', [status(esa)], ['20'])). 35.62/36.10 tff('33', plain, 35.62/36.10 (sk_X3_(sk_X2_1, '#fsk1')) 35.62/36.10 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))) & 35.62/36.10 (sk_A_(sk_X2_1))), 35.62/36.10 inference('sup-', [status(thm)], ['19', '8'])). 35.62/36.10 tff('34', plain, 35.62/36.10 (sk_X2_1(sk_X3_(sk_X2_1))) 35.62/36.10 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) & 35.62/36.10 (sk_A_(sk_X2_1))), 35.62/36.10 inference('sup-', [status(thm)], ['19', '11'])). 35.62/36.10 tff('35', plain, 35.62/36.10 (~ sk_X3_(sk_X2_1, '#fsk1')) 35.62/36.10 <= ((![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) & 35.62/36.10 (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))) & 35.62/36.10 (sk_A_(sk_X2_1))), 35.62/36.10 inference('sup-', [status(thm)], ['34', '25'])). 35.62/36.10 tff('36', plain, 35.62/36.10 ~ (![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))) | 35.62/36.10 ~ (sk_A_(sk_X2_1)) | 35.62/36.10 ~ (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))) | 35.62/36.10 ~ (![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))), 35.62/36.10 inference('sup-', [status(thm)], ['33', '35'])). 35.62/36.10 tff('37', plain, 35.62/36.10 ~ (sk_A_(sk_X2_1)) | 35.62/36.10 ~ (![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))) | 35.62/36.10 ~ (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))), 35.62/36.10 inference('sat_resolution', [status(thm)], ['27', '31', '32', '36'])). 35.62/36.10 tff('38', plain, 35.62/36.10 ~ (sk_A_(sk_X2_1)) | ~ (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))), 35.62/36.10 inference('sat_resolution', [status(thm)], ['27', '28', '30', '37'])). 35.62/36.10 tff('39', plain, 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_X2_(sk_X3_1(X0), '#fsk1')) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))) & 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0)))), 35.62/36.10 inference('sup-', [status(thm)], ['5', '21'])). 35.62/36.10 tff('40', plain, 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_X3_1(X0, sk_X2_(sk_X3_1(X0)))) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))) & 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0)))), 35.62/36.10 inference('sup-', [status(thm)], ['5', '23'])). 35.62/36.10 tff('41', plain, 35.62/36.10 (~ sk_X2_(sk_X3_1(sk_X2_), '#fsk1')) 35.62/36.10 <= ((![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))) & 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.62/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))) & 35.62/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0)))), 35.72/36.10 inference('sup-', [status(thm)], ['40', '14'])). 35.72/36.10 tff('42', plain, 35.72/36.10 ~ (![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))) | 35.72/36.10 ~ (![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))) | 35.72/36.10 ~ (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0))) | 35.72/36.10 ~ 35.72/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.72/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))), 35.72/36.10 inference('sup-', [status(thm)], ['39', '41'])). 35.72/36.10 tff('43', plain, 35.72/36.10 (![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))) | 35.72/36.10 ~ (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0))) | 35.72/36.10 ~ 35.72/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.72/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))), 35.72/36.10 inference('sat_resolution', [status(thm)], ['16', '31', '28'])). 35.72/36.10 tff('44', plain, 35.72/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.72/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))) | 35.72/36.10 (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))), 35.72/36.10 inference('split', [status(esa)], ['13'])). 35.72/36.10 tff('45', plain, 35.72/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0))) | 35.72/36.10 (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))), 35.72/36.10 inference('split', [status(esa)], ['4'])). 35.72/36.10 tff('46', plain, (![X1 : a > $o]: (~ sk_X2_1(X1) | ~ X1('#fsk1'))), 35.72/36.10 inference('sat_resolution', [status(thm)], 35.72/36.10 ['16', '32', '30', '42', '43', '44', '45'])). 35.72/36.10 tff('47', plain, ~ (sk_A_(sk_X2_1)), 35.72/36.10 inference('sat_resolution', [status(thm)], ['38', '46'])). 35.72/36.10 tff('48', plain, 35.72/36.10 (![X0 : (a > $o > $o * a) > $o]: 35.72/36.10 (~ sk_X3_1(X0, X0(sk_X3_1(X0))) | ~ X0(sk_X3_1(X0), '#fsk1'))), 35.72/36.10 inference('sat_resolution', [status(thm)], ['18', '47'])). 35.72/36.10 tff('49', plain, 35.72/36.10 ![X0 : (a > $o > $o * a) > $o]: (sk_A_(sk_X3_1(X0)) | sk_A_(sk_X2_1)), 35.72/36.10 inference('cnf_otf', [status(thm)], ['3'])). 35.72/36.10 tff('50', plain, 35.72/36.10 (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0))) | (sk_A_(sk_X2_1)), 35.72/36.10 inference('split', [status(esa)], ['49'])). 35.72/36.10 tff('51', plain, (![X0 : (a > $o > $o * a) > $o]: sk_A_(sk_X3_1(X0))), 35.72/36.10 inference('sat_resolution', [status(thm)], ['50', '47'])). 35.72/36.10 tff('52', plain, (![X0 : a > $o > $o]: (~ sk_A_(X0) | X0(sk_X2_(X0)))), 35.72/36.10 inference('sat_resolution', [status(thm)], ['43', '48', '51'])). 35.72/36.10 tff('53', plain, 35.72/36.10 ~ (![X0 : a > $o > $o]: (~ sk_A_(X0) | sk_X2_(X0, '#fsk1'))), 35.72/36.10 inference('sat_resolution', [status(thm)], ['42', '48', '51', '52'])). 35.72/36.10 tff('54', plain, (![X1 : a > $o > $o]: (~ sk_A_(X1) | sk_X3_(X1, '#fsk1'))), 35.72/36.10 inference('sat_resolution', [status(thm)], ['30', '53'])). 35.72/36.10 tff('55', plain, (![X1 : a > $o > $o]: (~ sk_A_(X1) | X1(sk_X3_(X1)))), 35.72/36.10 inference('sat_resolution', [status(thm)], ['32', '53'])). 35.72/36.10 tff('56', plain, $false, 35.72/36.10 inference('sat_resolution', [status(thm)], ['16', '48', '51', '54', '55'])). 35.72/36.10 35.72/36.10 % SZS output end Refutation 35.72/36.10 % Zipperpin 1.5 exiting 35.72/36.10 EOF