0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.71GW6Qpf1w 0.10/0.31 % Computer : n032.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 07:18:34 EDT 2020 0.10/0.31 % CPUTime : 0.10/0.31 % Running portfolio for 120 s 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.31 % Number of cores: 8 0.15/0.31 % Python version: Python 3.6.8 0.15/0.31 % Running in HO mode 0.52/0.60 % Estimated wc time : 1286 0.52/0.60 % Estimated cpu time (7 cpus) : 183.71428571428572 0.78/0.69 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.78/0.69 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.78/0.69 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.78/0.70 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.78/0.71 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 1.15/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 1.15/0.78 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 1.17/0.80 % Solved by lams/c.easy.sh. 1.17/0.80 % done 37 iterations in 0.041s 1.17/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.17/0.80 % SZS output start Refutation 1.17/0.80 tff(dpsetconstr, axiom, dpsetconstr() = 1.17/0.80 ^[A,B,Xphi:(($i * $i) > $o)]: 1.17/0.80 dsetconstr(cartprod(A,B), 1.17/0.80 ^[Xu]: 1.17/0.80 (?[Xx]: 1.17/0.80 ((?[Xy]: ((Xu = kpair(Xx,Xy)) & Xphi(Xx,Xy) & in(Xy,B))) & 1.17/0.80 in(Xx,A))))). 1.17/0.80 tff('0', plain, 1.17/0.80 dpsetconstr = 1.17/0.80 (^[A,B,Xphi:(($i * $i) > $o)]: 1.17/0.80 dsetconstr(cartprod(A,B), 1.17/0.80 ^[Xu]: 1.17/0.80 (?[Xx]: 1.17/0.80 ((?[Xy]: 1.17/0.80 ((Xu = kpair(Xx,Xy)) & Xphi(Xx,Xy) & in(Xy,B))) & 1.17/0.80 in(Xx,A))))), 1.17/0.80 inference('simplify_rw_rule', [status(thm)], [dpsetconstr])). 1.17/0.80 tff('1', plain, 1.17/0.80 dpsetconstr = 1.17/0.80 (^[V_1,V_2,V_3:(($i * $i) > $o)]: 1.17/0.80 dsetconstr(cartprod(V_1,V_2), 1.17/0.80 ^[V_4]: 1.17/0.80 (?[X4]: 1.17/0.80 ((?[X6]: 1.17/0.80 ((V_4 = kpair(X4,X6)) & V_3(X4,X6) & in(X6,V_2))) & 1.17/0.80 in(X4,V_1))))), 1.17/0.80 define([status(thm)])). 1.17/0.80 tff(setukpairinjR, axiom, setukpairinjR <=> 1.17/0.80 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 1.17/0.80 tff('2', plain, 1.17/0.80 setukpairinjR = 1.17/0.80 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X6 = X10))), 1.17/0.80 define([status(thm)])). 1.17/0.80 tff(setukpairinjL, axiom, setukpairinjL <=> 1.17/0.80 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 1.17/0.80 tff('3', plain, 1.17/0.80 setukpairinjL = 1.17/0.80 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X4 = X8))), 1.17/0.80 define([status(thm)])). 1.17/0.80 tff(dsetconstrER, axiom, dsetconstrER <=> 1.17/0.80 (![A,Xphi:(($i > $o)),Xx]: 1.17/0.80 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 1.17/0.80 tff('4', plain, 1.17/0.80 dsetconstrER = 1.17/0.80 (![X4,X6:(($i > $o)),X8]: 1.17/0.80 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => X6(X8))), 1.17/0.80 define([status(thm)])). 1.17/0.80 tff(dpsetconstrERa, conjecture, 1.17/0.80 (dsetconstrER => 1.17/0.80 (setukpairinjL => 1.17/0.80 (setukpairinjR => 1.17/0.80 (![A,B,Xphi:(($i * $i) > $o),Xx]: 1.17/0.80 (in(Xx,A) => 1.17/0.80 (![Xy]: 1.17/0.80 (in(Xy,B) => 1.17/0.80 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 1.17/0.80 Xphi(Xx,Xy)))))))))). 1.17/0.80 tff(zf_stmt_0, conjecture, 1.17/0.80 ((![X4,X6:(($i > $o)),X8]: 1.17/0.80 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => X6(X8))) => 1.17/0.80 ((![X10,X12,X14,X16]: ((kpair(X10,X12) = kpair(X14,X16)) => (X10 = X14))) => 1.17/0.80 ((![X18,X20,X22,X24]: ((kpair(X18,X20) = kpair(X22,X24)) => (X20 = X24))) => 1.17/0.80 (![X26,X28,X30:(($i * $i) > $o),X32]: 1.17/0.80 (in(X32,X26) => 1.17/0.80 (![X34]: 1.17/0.80 (in(X34,X28) => 1.17/0.80 (in(kpair(X32,X34), 1.17/0.80 dsetconstr(cartprod(X26,X28), 1.17/0.80 ^[V_2]: 1.17/0.80 (?[X36]: 1.17/0.80 (in(X36,X26) & 1.17/0.80 (?[X38]: 1.17/0.80 (in(X38,X28) & X30(X36,X38) & 1.17/0.80 (V_2 = kpair(X36,X38)))))))) => 1.17/0.80 X30(X32,X34)))))))))). 1.17/0.80 tff(zf_stmt_1, negated_conjecture, 1.17/0.80 (~ 1.17/0.80 ((![X4,X6:(($i > $o)),X8]: 1.17/0.80 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => X6(X8))) => 1.17/0.80 ((![X10,X12,X14,X16]: ((kpair(X10,X12) = kpair(X14,X16)) => (X10 = X14))) => 1.17/0.80 ((![X18,X20,X22,X24]: 1.17/0.80 ((kpair(X18,X20) = kpair(X22,X24)) => (X20 = X24))) => 1.17/0.80 (![X26,X28,X30:(($i * $i) > $o),X32]: 1.17/0.80 (in(X32,X26) => 1.17/0.80 (![X34]: 1.17/0.80 (in(X34,X28) => 1.17/0.80 (in(kpair(X32,X34), 1.17/0.80 dsetconstr(cartprod(X26,X28), 1.17/0.80 ^[V_2]: 1.17/0.80 (?[X36]: 1.17/0.80 (in(X36,X26) & 1.17/0.80 (?[X38]: 1.17/0.80 (in(X38,X28) & X30(X36,X38) & 1.17/0.80 (V_2 = kpair(X36,X38)))))))) => 1.17/0.80 X30(X32,X34))))))))))). 1.17/0.80 tff('5', plain, ~ sk_X30(sk_X32, sk_X34), 1.17/0.80 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.80 tff('6', plain, 1.17/0.80 in(kpair(sk_X32, sk_X34), 1.17/0.80 dsetconstr(cartprod(sk_X26, sk_X28), 1.17/0.80 (^[Y0 : $i]: 1.17/0.80 (??((^[Y1 : $i]: 1.17/0.80 (in(Y1, sk_X26) & 1.17/0.80 (??((^[Y2 : $i]: 1.17/0.80 (in(Y2, sk_X28)&sk_X30(Y1, Y2)& 1.17/0.80 (Y0 = kpair(Y1, Y2))))))))))))), 1.17/0.80 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.80 tff('7', plain, 1.17/0.80 ![X14 : $i > $o, X15, X16]: 1.17/0.80 ( X14(X15) | ~ in(X15, dsetconstr(X16, (^[Y0 : $i]: X14(Y0))))), 1.17/0.80 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.80 tff('8', plain, 1.17/0.80 ![X14 : $i > $o, X15, X16]: ( X14(X15) | ~ in(X15, dsetconstr(X16, X14))), 1.17/0.80 inference('ho_norm', [status(thm)], ['7'])). 1.17/0.80 tff('9', plain, 1.17/0.80 (^[Y0 : $i]: 1.17/0.80 (??((^[Y1 : $i]: 1.17/0.80 (in(Y1, sk_X26) & 1.17/0.80 (??((^[Y2 : $i]: 1.17/0.80 (in(Y2, sk_X28)&sk_X30(Y1, Y2)&(Y0 = kpair(Y1, Y2)))))))))))( 1.17/0.80 kpair(sk_X32, sk_X34)), 1.17/0.80 inference('sup-', [status(thm)], ['6', '8'])). 1.17/0.80 tff('10', plain, 1.17/0.80 (??((^[Y0 : $i]: 1.17/0.80 (in(Y0, sk_X26) & 1.17/0.80 (??((^[Y1 : $i]: 1.17/0.80 (in(Y1, sk_X28)&sk_X30(Y0, Y1)& 1.17/0.80 (kpair(sk_X32, sk_X34) = kpair(Y0, Y1)))))))))), 1.17/0.80 inference('ho_norm', [status(thm)], ['9'])). 1.17/0.80 tff('11', plain, kpair(sk_X32, sk_X34) = kpair(sk_X4_1, sk_X6_1), 1.17/0.80 inference('cnf_otf', [status(thm)], ['10'])). 1.17/0.80 tff('12', plain, 1.17/0.80 ![X21, X22, X23, X24]: (X22 = X21 | kpair(X22, X24) != kpair(X21, X23)), 1.17/0.80 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.80 tff('13', plain, ![X22, X24]: '#_fresh_sk2'(kpair(X22, X24)) = X22, 1.17/0.80 inference('inj_rec', [status(thm)], ['12'])). 1.17/0.80 tff('14', plain, '#_fresh_sk2'(kpair(sk_X4_1, sk_X6_1)) = sk_X32, 1.17/0.80 inference('sup+', [status(thm)], ['11', '13'])). 1.17/0.80 tff('15', plain, ![X22, X24]: '#_fresh_sk2'(kpair(X22, X24)) = X22, 1.17/0.80 inference('inj_rec', [status(thm)], ['12'])). 1.17/0.80 tff('16', plain, sk_X4_1 = sk_X32, 1.17/0.80 inference('demod', [status(thm)], ['14', '15'])). 1.17/0.80 tff('17', plain, ~ sk_X30(sk_X4_1, sk_X34), 1.17/0.80 inference('demod', [status(thm)], ['5', '16'])). 1.17/0.80 tff('18', plain, kpair(sk_X32, sk_X34) = kpair(sk_X4_1, sk_X6_1), 1.17/0.80 inference('cnf_otf', [status(thm)], ['10'])). 1.17/0.80 tff('19', plain, 1.17/0.80 ![X17, X18, X19, X20]: (X18 = X17 | kpair(X20, X18) != kpair(X19, X17)), 1.17/0.80 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.80 tff('20', plain, ![X18, X20]: '#_fresh_sk1'(kpair(X20, X18)) = X18, 1.17/0.80 inference('inj_rec', [status(thm)], ['19'])). 1.17/0.80 tff('21', plain, '#_fresh_sk1'(kpair(sk_X4_1, sk_X6_1)) = sk_X34, 1.17/0.80 inference('sup+', [status(thm)], ['18', '20'])). 1.17/0.80 tff('22', plain, ![X18, X20]: '#_fresh_sk1'(kpair(X20, X18)) = X18, 1.17/0.80 inference('inj_rec', [status(thm)], ['19'])). 1.17/0.80 tff('23', plain, sk_X6_1 = sk_X34, 1.17/0.80 inference('demod', [status(thm)], ['21', '22'])). 1.17/0.80 tff('24', plain, sk_X30(sk_X4_1, sk_X6_1), 1.17/0.80 inference('cnf_otf', [status(thm)], ['10'])). 1.17/0.80 tff('25', plain, $false, 1.17/0.80 inference('demod', [status(thm)], ['17', '23', '24'])). 1.17/0.80 1.17/0.80 % SZS output end Refutation 1.17/0.80 1.17/0.80 1.17/0.81 % Terminating... 1.50/0.94 % Runner terminated. 1.50/0.97 % Zipperpin 1.5 exiting 1.50/0.97 EOF