0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.hKKtFUcWxz 0.10/0.30 % Computer : n029.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1200 0.10/0.30 % DateTime : Tue Jul 13 11:00:55 EDT 2021 0.15/0.30 % CPUTime : 0.15/0.30 % Running portfolio for 120 s 0.15/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.30 % Number of cores: 8 0.15/0.30 % Python version: Python 3.6.8 0.15/0.31 % Running in HO mode 0.15/0.55 % Estimated wc time : 1286 0.15/0.55 % Estimated cpu time (7 cpus) : 183.71428571428572 0.91/0.65 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.91/0.66 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.91/0.66 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.91/0.66 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.91/0.67 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 1.16/0.83 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 1.16/0.84 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 59.58/10.62 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 88.77/15.54 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 90.57/15.90 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 94.63/16.65 % Solved by lams/b.sh. 94.63/16.65 % done 38 iterations in 1.085s 94.63/16.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 94.63/16.65 % SZS output start Refutation 94.63/16.65 tff(induction, axiom, 94.63/16.65 (![M:(($i > $o))]: 94.63/16.65 (((![X]: (M(X) => M(succ(X)))) & M(one)) => (![Y]: M(Y))))). 94.63/16.65 tff('0', plain, 94.63/16.65 (!!((^[Y0 : $i > $o]: 94.63/16.65 (((!!((^[Y1 : $i]: (Y0(Y1) => Y0(succ(Y1)))))) & Y0(one)) => 94.63/16.65 (!!((^[Y1 : $i]: Y0(Y1)))))))), 94.63/16.65 inference('cnf', [status(esa)], [induction])). 94.63/16.65 tff('1', plain, 94.63/16.65 (!!((^[Y0 : $i > $o]: 94.63/16.65 (((!!((^[Y1 : $i]: (Y0(Y1) => Y0(succ(Y1)))))) & Y0(one)) => 94.63/16.65 (!!(Y0)))))), 94.63/16.65 inference('ho_norm', [status(thm)], ['0'])). 94.63/16.65 tff('2', plain, 94.63/16.65 ![X1 : $i > $o]: 94.63/16.65 (((!!((^[Y0 : $i]: (X1(Y0) => X1(succ(Y0)))))) & X1(one)) => (!!(X1))), 94.63/16.65 inference('lazy_cnf_forall', [status(thm)], ['1'])). 94.63/16.65 tff('3', plain, 94.63/16.65 ![X1 : $i > $o]: 94.63/16.65 (~ ((!!((^[Y0 : $i]: (X1(Y0) => X1(succ(Y0)))))) & X1(one)) | (!!(X1))), 94.63/16.65 inference('lazy_cnf_imply', [status(thm)], ['2'])). 94.63/16.65 tff('4', plain, 94.63/16.65 ![X1 : $i > $o]: 94.63/16.65 (~ (!!((^[Y0 : $i]: (X1(Y0) => X1(succ(Y0)))))) | ~ X1(one) | (!!(X1))), 94.63/16.65 inference('lazy_cnf_and', [status(thm)], ['3'])). 94.63/16.65 tff('5', plain, 94.63/16.65 ![X1 : $i > $o]: 94.63/16.65 (~ (X1('#sk11'(X1)) => X1(succ('#sk11'(X1)))) | (!!(X1)) | ~ X1(one)), 94.63/16.65 inference('lazy_cnf_exists', [status(thm)], ['4'])). 94.63/16.65 tff('6', plain, 94.63/16.65 ![X1 : $i > $o]: (~ X1(succ('#sk11'(X1))) | ~ X1(one) | (!!(X1))), 94.63/16.65 inference('lazy_cnf_imply', [status(thm)], ['5'])). 94.63/16.65 tff('7', plain, 94.63/16.65 ![X1 : $i > $o, X2]: ( X1(X2) | ~ X1(one) | ~ X1(succ('#sk11'(X1)))), 94.63/16.65 inference('lazy_cnf_forall', [status(thm)], ['6'])). 94.63/16.65 tff('8', plain, 94.63/16.65 ![X0]: 94.63/16.65 ( (^[Y0 : $i]: (!=($i, X0, Y0)))(X0) 94.63/16.65 | ~ (^[Y0 : $i]: (!=($i, X0, Y0)))(one) 94.63/16.65 | ~ (^[Y0 : $i]: (!=($i, X0, Y0)))( 94.63/16.65 succ('#sk11'((^[Y0 : $i]: (!=($i, X0, Y0))))))), 94.63/16.65 inference('elim_leibniz_eq_+', [status(thm)], ['7'])). 94.63/16.65 tff('9', plain, 94.63/16.65 ![X0]: 94.63/16.65 ( (!=($i, X0, X0)) 94.63/16.65 | ~ (!=($i, X0, one)) 94.63/16.65 | ~ (!=($i, X0, succ('#sk11'((^[Y0 : $i]: (!=($i, X0, Y0)))))))), 94.63/16.65 inference('ho_norm', [status(thm)], ['8'])). 94.63/16.65 tff('10', plain, 94.63/16.65 ![X0]: 94.63/16.65 (~ (!=($i, X0, one)) 94.63/16.65 | ~ (!=($i, X0, succ('#sk11'((^[Y0 : $i]: (!=($i, X0, Y0)))))))), 94.63/16.65 inference('simplify boolean subterms', [status(thm)], ['9'])). 94.63/16.65 tff('11', plain, 94.63/16.65 ![X0]: (X0 = one | X0 = succ('#sk11'((^[Y0 : $i]: (!=($i, X0, Y0)))))), 94.63/16.65 inference('simplify nested equalities', [status(thm)], ['10'])). 94.63/16.65 tff(satz2, conjecture, (![X]: (succ(X) != X))). 94.63/16.65 tff(zf_stmt_0, negated_conjecture, (~(![X]: (succ(X) != X)))). 94.63/16.65 tff('12', plain, ~ (!!((^[Y0 : $i]: (succ(Y0) != Y0)))), 94.63/16.65 inference('cnf', [status(esa)], [zf_stmt_0])). 94.63/16.65 tff('13', plain, succ('#sk1') = '#sk1', 94.63/16.65 inference('lazy_cnf_exists', [status(thm)], ['12'])). 94.63/16.65 tff(succ_injective, axiom, (![X,Y]: ((succ(X) = succ(Y)) => (X = Y)))). 94.63/16.65 tff('14', plain, 94.63/16.65 (!!((^[Y0 : $i]: 94.63/16.65 (!!((^[Y1 : $i]: ((succ(Y0) = succ(Y1)) => (Y0 = Y1)))))))), 94.63/16.65 inference('cnf', [status(esa)], [succ_injective])). 94.63/16.65 tff('15', plain, 94.63/16.65 ![X1]: (!!((^[Y0 : $i]: ((succ(X1) = succ(Y0)) => (X1 = Y0))))), 94.63/16.65 inference('lazy_cnf_forall', [status(thm)], ['14'])). 94.63/16.65 tff('16', plain, ![X1, X2]: ((succ(X1) = succ(X2)) => (X1 = X2)), 94.63/16.65 inference('lazy_cnf_forall', [status(thm)], ['15'])). 94.63/16.65 tff('17', plain, ![X1, X2]: (succ(X1) != succ(X2) | X1 = X2), 94.63/16.65 inference('lazy_cnf_imply', [status(thm)], ['16'])). 94.63/16.65 tff('18', plain, ![X0]: ('#sk1' != succ(X0) | '#sk1' = X0), 94.63/16.65 inference('sup-', [status(thm)], ['13', '17'])). 94.63/16.65 tff('19', plain, 94.63/16.65 ![X0]: 94.63/16.65 ('#sk1' != X0 94.63/16.65 | X0 = one 94.63/16.65 | '#sk1' = '#sk11'((^[Y0 : $i]: (!=($i, X0, Y0))))), 94.63/16.65 inference('sup-', [status(thm)], ['11', '18'])). 94.63/16.65 tff('20', plain, 94.63/16.65 ('#sk1' = '#sk11'((^[Y0 : $i]: (!=($i, '#sk1', Y0)))) | '#sk1' = one), 94.63/16.65 inference('simplify', [status(thm)], ['19'])). 94.63/16.65 tff('21', plain, succ('#sk1') = '#sk1', 94.63/16.65 inference('lazy_cnf_exists', [status(thm)], ['12'])). 94.63/16.65 tff(one_is_first, axiom, (![X]: (succ(X) != one))). 94.63/16.65 tff('22', plain, (!!((^[Y0 : $i]: (succ(Y0) != one)))), 94.63/16.65 inference('cnf', [status(esa)], [one_is_first])). 94.63/16.65 tff('23', plain, ![X1]: succ(X1) != one, 94.63/16.65 inference('lazy_cnf_forall', [status(thm)], ['22'])). 94.63/16.65 tff('24', plain, '#sk1' != one, 94.63/16.65 inference('sup-', [status(thm)], ['21', '23'])). 94.63/16.65 tff('25', plain, '#sk1' = '#sk11'((^[Y0 : $i]: (!=($i, '#sk1', Y0)))), 94.63/16.65 inference('simplify_reflect-', [status(thm)], ['20', '24'])). 94.63/16.65 tff('26', plain, ![X1 : $i > $o]: ( X1('#sk11'(X1)) | ~ X1(one) | (!!(X1))), 94.63/16.65 inference('lazy_cnf_imply', [status(thm)], ['5'])). 94.63/16.65 tff('27', plain, 94.63/16.65 ![X1 : $i > $o, X2]: ( X1(X2) | ~ X1(one) | X1('#sk11'(X1))), 94.63/16.65 inference('lazy_cnf_forall', [status(thm)], ['26'])). 94.63/16.65 tff('28', plain, ![X0 : $i > $o]: ( X0('#sk11'(X0)) | ~ X0(one)), 94.63/16.65 inference('condensation', [status(thm)], ['27'])). 94.63/16.65 tff('29', plain, 94.63/16.65 ![X0 : $i > $i]: 94.63/16.65 ( (^[Y0 : $i]: 94.63/16.65 (^[Y1 : $i,Y2 : $i]: (^[Y3 : $i]: (!=($i, '#sk1', Y3)))(Y1))( 94.63/16.65 (^[Y1 : $i]: Y1)(Y0), Y0))('#sk1') 94.63/16.65 | ~ (^[Y0 : $i]: 94.63/16.65 (^[Y1 : $i,Y2 : $i]: (^[Y3 : $i]: (!=($i, '#sk1', Y3)))(Y1))( 94.63/16.65 Y0, X0(Y0)))(one)), 94.63/16.65 inference('fluidSup+', [status(thm)], ['25', '28'])). 94.63/16.65 tff('30', plain, ( (!=($i, '#sk1', '#sk1')) | ~ (!=($i, '#sk1', one))), 94.63/16.65 inference('ho_norm', [status(thm)], ['29'])). 94.63/16.65 tff('31', plain, ~ (!=($i, '#sk1', one)), 94.63/16.65 inference('simplify boolean subterms', [status(thm)], ['30'])). 94.63/16.65 tff('32', plain, '#sk1' = one, 94.63/16.65 inference('simplify nested equalities', [status(thm)], ['31'])). 94.63/16.65 tff('33', plain, '#sk1' != one, 94.63/16.65 inference('sup-', [status(thm)], ['21', '23'])). 94.63/16.65 tff('34', plain, $false, 94.63/16.65 inference('simplify_reflect-', [status(thm)], ['32', '33'])). 94.63/16.65 94.63/16.65 % SZS output end Refutation 94.63/16.65 94.63/16.65 94.63/16.65 % Terminating... 94.63/16.70 % Runner terminated. 94.63/16.71 % Zipperpin 1.5 exiting 94.63/16.71 EOF