0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.xWsFYFLpxQ 0.12/0.34 % Computer : n029.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 : 1200 0.12/0.34 % DateTime : Tue Jul 13 12:10:25 EDT 2021 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 120 s 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.35 % Python version: Python 3.6.8 0.12/0.35 % Running in HO mode 0.56/0.64 % Estimated wc time : 1286 0.56/0.64 % Estimated cpu time (7 cpus) : 183.71428571428572 0.56/0.70 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.56/0.70 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.56/0.74 % Solved by lams/s6.sh. 0.56/0.74 % done 7 iterations in 0.010s 0.56/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.56/0.74 % SZS output start Refutation 0.56/0.74 tff(dpsetconstr, axiom, dpsetconstr() = 0.56/0.74 ^[A,B,Xphi:(($i * $i) > $o)]: 0.56/0.74 dsetconstr(cartprod(A,B), 0.56/0.74 ^[Xu]: 0.56/0.74 (?[Xx]: 0.56/0.74 ((?[Xy]: ((Xu = kpair(Xx,Xy)) & Xphi(Xx,Xy) & in(Xy,B))) & 0.56/0.74 in(Xx,A))))). 0.56/0.74 tff('0', plain, 0.56/0.74 dpsetconstr = 0.56/0.74 (^[A,B,Xphi:(($i * $i) > $o)]: 0.56/0.74 dsetconstr(cartprod(A,B), 0.56/0.74 ^[Xu]: 0.56/0.74 (?[Xx]: 0.56/0.74 ((?[Xy]: 0.56/0.74 ((Xu = kpair(Xx,Xy)) & Xphi(Xx,Xy) & in(Xy,B))) & 0.56/0.74 in(Xx,A))))), 0.56/0.74 inference('simplify_rw_rule', [status(thm)], [dpsetconstr])). 0.56/0.74 tff('1', plain, 0.56/0.74 dpsetconstr = 0.56/0.74 (^[V_1,V_2,V_3:(($i * $i) > $o)]: 0.56/0.74 dsetconstr(cartprod(V_1,V_2), 0.56/0.74 ^[V_4]: 0.56/0.74 (?[X4]: 0.56/0.74 ((?[X6]: 0.56/0.74 ((V_4 = kpair(X4,X6)) & V_3(X4,X6) & in(X6,V_2))) & 0.56/0.74 in(X4,V_1))))), 0.56/0.74 define([status(thm)])). 0.56/0.74 tff(subsetI2, axiom, subsetI2 <=> 0.56/0.74 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 0.56/0.74 tff('2', plain, 0.56/0.74 subsetI2 = 0.56/0.74 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 0.56/0.74 define([status(thm)])). 0.56/0.74 tff(dsetconstrEL, axiom, dsetconstrEL <=> 0.56/0.74 (![A,Xphi:(($i > $o)),Xx]: 0.56/0.74 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 0.56/0.74 tff('3', plain, 0.56/0.74 dsetconstrEL = 0.56/0.74 (![X4,X6:(($i > $o)),X8]: 0.56/0.74 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => in(X8,X4))), 0.56/0.74 define([status(thm)])). 0.56/0.74 tff(dpsetconstrSub, conjecture, 0.56/0.74 (dsetconstrEL => 0.56/0.74 (subsetI2 => 0.56/0.74 (![A,B,Xphi:(($i * $i) > $o)]: 0.56/0.74 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))))). 0.56/0.74 tff(zf_stmt_0, conjecture, 0.56/0.74 ((![X4,X6:(($i > $o)),X8]: 0.56/0.74 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => in(X8,X4))) => 0.56/0.74 ((![X10,X12]: ((![X14]: (in(X14,X10) => in(X14,X12))) => subset(X10,X12))) => 0.56/0.74 (![X16,X18,X20:(($i * $i) > $o)]: 0.56/0.74 subset(dsetconstr(cartprod(X16,X18), 0.56/0.74 ^[V_2]: 0.56/0.74 (?[X22]: 0.56/0.74 (in(X22,X16) & 0.56/0.74 (?[X24]: 0.56/0.74 (in(X24,X18) & X20(X22,X24) & 0.56/0.74 (V_2 = kpair(X22,X24))))))), 0.56/0.74 cartprod(X16,X18)))))). 0.56/0.74 tff(zf_stmt_1, negated_conjecture, 0.56/0.74 (~ 0.56/0.74 ((![X4,X6:(($i > $o)),X8]: 0.56/0.74 (in(X8,dsetconstr(X4,^[V_1]: X6(V_1))) => in(X8,X4))) => 0.56/0.74 ((![X10,X12]: 0.56/0.74 ((![X14]: (in(X14,X10) => in(X14,X12))) => subset(X10,X12))) => 0.56/0.74 (![X16,X18,X20:(($i * $i) > $o)]: 0.56/0.74 subset(dsetconstr(cartprod(X16,X18), 0.56/0.74 ^[V_2]: 0.56/0.74 (?[X22]: 0.56/0.74 (in(X22,X16) & 0.56/0.74 (?[X24]: 0.56/0.74 (in(X24,X18) & X20(X22,X24) & 0.56/0.74 (V_2 = kpair(X22,X24))))))), 0.56/0.74 cartprod(X16,X18))))))). 0.56/0.74 tff('4', plain, 0.56/0.74 ~ subset( 0.56/0.74 dsetconstr(cartprod(sk_X16, sk_X18), 0.56/0.74 (^[Y0 : $i]: 0.56/0.74 (??((^[Y1 : $i]: 0.56/0.74 (in(Y1, sk_X16) & 0.56/0.74 (??((^[Y2 : $i]: 0.56/0.74 (in(Y2, sk_X18)&sk_X20(Y1, Y2)& 0.56/0.74 (Y0 = kpair(Y1, Y2)))))))))))), 0.56/0.74 cartprod(sk_X16, sk_X18)), 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.74 tff('5', plain, 0.56/0.74 ![X12, X13]: ( subset(X12, X13) | in(sk_X14(X13, X12), X12)), 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.74 tff('6', plain, 0.56/0.74 ![X9, X10, X11 : $i > $o]: 0.56/0.74 ( in(X9, X10) | ~ in(X9, dsetconstr(X10, (^[Y0 : $i]: X11(Y0))))), 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.74 tff('7', plain, 0.56/0.74 ![X9, X10, X11 : $i > $o]: 0.56/0.74 ( in(X9, X10) | ~ in(X9, dsetconstr(X10, X11))), 0.56/0.74 inference('ho_norm', [status(thm)], ['6'])). 0.56/0.74 tff('8', plain, 0.56/0.74 ![X0 : $i > $o, X1, X2]: 0.56/0.74 ( subset(dsetconstr(X1, X0), X2) 0.56/0.74 | in(sk_X14(X2, dsetconstr(X1, X0)), X1)), 0.56/0.74 inference('sup-', [status(thm)], ['5', '7'])). 0.56/0.74 tff('9', plain, 0.56/0.74 ![X12, X13]: ( subset(X12, X13) | ~ in(sk_X14(X13, X12), X13)), 0.56/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.74 tff('10', plain, 0.56/0.74 ![X0, X1 : $i > $o]: 0.56/0.74 ( subset(dsetconstr(X0, X1), X0) | subset(dsetconstr(X0, X1), X0)), 0.56/0.74 inference('sup-', [status(thm)], ['8', '9'])). 0.56/0.74 tff('11', plain, ![X0, X1 : $i > $o]: subset(dsetconstr(X0, X1), X0), 0.56/0.74 inference('simplify', [status(thm)], ['10'])). 0.56/0.74 tff('12', plain, $false, inference('demod', [status(thm)], ['4', '11'])). 0.56/0.74 0.56/0.74 % SZS output end Refutation 0.56/0.74 0.56/0.74 0.56/0.74 % Terminating... 0.67/0.84 % Runner terminated. 0.67/0.85 % Zipperpin 1.5 exiting 0.67/0.86 EOF