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/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.DpymWSco5B 0.14/0.34 % Computer : n027.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1200 0.14/0.34 % DateTime : Tue Jul 13 10:42:25 EDT 2021 0.14/0.34 % CPUTime : 0.14/0.34 % Running portfolio for 120 s 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.34 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.35 % Running in HO mode 0.53/0.63 % Estimated wc time : 1286 0.53/0.63 % Estimated cpu time (7 cpus) : 183.71428571428572 0.53/0.68 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.54/0.76 % Solved by lams/s6.sh. 0.54/0.76 % done 18 iterations in 0.053s 0.54/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.54/0.76 % SZS output start Refutation 0.54/0.76 tff(breln1invset, axiom, breln1invset() = 0.54/0.76 ^[A,R]: dpsetconstr(A,A,^[Xx,Xy]: in(kpair(Xy,Xx),R))). 0.54/0.76 tff('0', plain, 0.54/0.76 breln1invset = (^[A,R]: dpsetconstr(A,A,^[Xx,Xy]: in(kpair(Xy,Xx),R))), 0.54/0.76 inference('simplify_rw_rule', [status(thm)], [breln1invset])). 0.54/0.76 tff('1', plain, 0.54/0.76 breln1invset = 0.54/0.76 (^[V_1,V_2]: dpsetconstr(V_1,V_1,^[V_3,V_4]: in(kpair(V_4,V_3),V_2))), 0.54/0.76 define([status(thm)])). 0.54/0.76 tff(breln1, axiom, breln1() = ^[A,R]: breln(A,A,R)). 0.54/0.76 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 0.54/0.76 tff('2', plain, breln = (^[A,B,C]: subset(C,cartprod(A,B))), 0.54/0.76 inference('simplify_rw_rule', [status(thm)], [breln])). 0.54/0.76 tff('3', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 0.54/0.76 define([status(thm)])). 0.54/0.76 tff('4', plain, breln1 = (^[A,R]: breln(A,A,R)), 0.54/0.76 inference('simplify_rw_rule', [status(thm)], [breln1, '3'])). 0.54/0.76 tff('5', plain, breln1 = (^[V_1,V_2]: breln(V_1,V_1,V_2)), 0.54/0.76 define([status(thm)])). 0.54/0.76 tff(dpsetconstrI, axiom, dpsetconstrI <=> 0.54/0.76 (![A,B,Xphi:(($i * $i) > $o),Xx]: 0.54/0.76 (in(Xx,A) => 0.54/0.76 (![Xy]: 0.54/0.76 (in(Xy,B) => 0.54/0.76 (Xphi(Xx,Xy) => 0.54/0.76 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 0.54/0.76 tff('6', plain, 0.54/0.76 dpsetconstrI = 0.54/0.76 (![X4,X6,X8:(($i * $i) > $o),X10]: 0.54/0.76 (in(X10,X4) => 0.54/0.76 (![X12]: 0.54/0.76 (in(X12,X6) => 0.54/0.76 (X8(X10,X12) => 0.54/0.76 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))), 0.54/0.76 define([status(thm)])). 0.54/0.76 tff(breln1invI, conjecture, 0.54/0.76 (dpsetconstrI => 0.54/0.76 (![A,R]: 0.54/0.76 (breln1(A,R) => 0.54/0.76 (![Xx]: 0.54/0.76 (in(Xx,A) => 0.54/0.76 (![Xy]: 0.54/0.76 (in(Xy,A) => 0.54/0.76 (in(kpair(Xx,Xy),R) => in(kpair(Xy,Xx),breln1invset(A,R))))))))))). 0.54/0.76 tff(zf_stmt_0, conjecture, 0.54/0.76 ((![X4,X6,X8:(($i * $i) > $o),X10]: 0.54/0.76 (in(X10,X4) => 0.54/0.76 (![X12]: 0.54/0.76 (in(X12,X6) => 0.54/0.76 (X8(X10,X12) => 0.54/0.76 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))) => 0.54/0.76 (![X14,X16]: 0.54/0.76 (subset(X16,cartprod(X14,X14)) => 0.54/0.76 (![X18]: 0.54/0.76 (in(X18,X14) => 0.54/0.76 (![X20]: 0.54/0.76 (in(X20,X14) => 0.54/0.76 (in(kpair(X18,X20),X16) => 0.54/0.76 in(kpair(X20,X18), 0.54/0.76 dpsetconstr(X14,X14,^[V_3,V_4]: in(kpair(V_4,V_3),X16)))))))))))). 0.54/0.76 tff(zf_stmt_1, negated_conjecture, 0.54/0.76 (~ 0.54/0.76 ((![X4,X6,X8:(($i * $i) > $o),X10]: 0.54/0.76 (in(X10,X4) => 0.54/0.76 (![X12]: 0.54/0.76 (in(X12,X6) => 0.54/0.76 (X8(X10,X12) => 0.54/0.76 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))) => 0.54/0.76 (![X14,X16]: 0.54/0.76 (subset(X16,cartprod(X14,X14)) => 0.54/0.76 (![X18]: 0.54/0.76 (in(X18,X14) => 0.54/0.76 (![X20]: 0.54/0.76 (in(X20,X14) => 0.54/0.76 (in(kpair(X18,X20),X16) => 0.54/0.76 in(kpair(X20,X18), 0.54/0.76 dpsetconstr(X14,X14,^[V_3,V_4]: in(kpair(V_4,V_3),X16))))))))))))). 0.54/0.76 tff('7', plain, in(sk_X20, sk_X14), 0.54/0.76 inference('cnf', [status(esa)], [zf_stmt_1])). 0.54/0.76 tff('8', plain, in(sk_X18, sk_X14), 0.54/0.76 inference('cnf', [status(esa)], [zf_stmt_1])). 0.54/0.76 tff('9', plain, 0.54/0.76 ![X12, X13, X14, X15, X16 : ($i * $i) > $o]: 0.54/0.76 (~ in(X12, X13) 0.54/0.76 | in(kpair(X14, X12), 0.54/0.76 dpsetconstr(X15, X13, (^[Y0 : $i,Y1 : $i]: X16(Y0, Y1)))) 0.54/0.76 | ~ X16(X14, X12) 0.54/0.76 | ~ in(X14, X15)), 0.54/0.76 inference('cnf', [status(esa)], [zf_stmt_1])). 0.54/0.76 tff('10', plain, 0.54/0.76 ![X12, X13, X14, X15, X16 : ($i * $i) > $o]: 0.54/0.76 (~ in(X12, X13) 0.54/0.76 | in(kpair(X14, X12), dpsetconstr(X15, X13, X16)) 0.54/0.76 | ~ X16(X14, X12) 0.54/0.76 | ~ in(X14, X15)), 0.54/0.76 inference('ho_norm', [status(thm)], ['9'])). 0.54/0.76 tff('11', plain, 0.54/0.76 ![X0, X1, X2 : ($i * $i) > $o]: 0.54/0.76 (~ in(X1, X0) 0.54/0.76 | ~ X2(X1, sk_X18) 0.54/0.76 | in(kpair(X1, sk_X18), dpsetconstr(X0, sk_X14, X2))), 0.54/0.76 inference('sup-', [status(thm)], ['8', '10'])). 0.54/0.76 tff('12', plain, 0.54/0.76 ![X0 : ($i * $i) > $o]: 0.54/0.76 ( in(kpair(sk_X20, sk_X18), dpsetconstr(sk_X14, sk_X14, X0)) 0.54/0.76 | ~ X0(sk_X20, sk_X18)), 0.54/0.76 inference('sup-', [status(thm)], ['7', '11'])). 0.54/0.76 tff('13', plain, 0.54/0.76 ~ in(kpair(sk_X20, sk_X18), 0.54/0.76 dpsetconstr(sk_X14, sk_X14, 0.54/0.76 (^[Y0 : $i,Y1 : $i]: in(kpair(Y1, Y0), sk_X16)))), 0.54/0.76 inference('cnf', [status(esa)], [zf_stmt_1])). 0.54/0.76 tff('14', plain, 0.54/0.76 ~ (^[Y0 : $i,Y1 : $i]: in(kpair(Y1, Y0), sk_X16))(sk_X20, sk_X18), 0.54/0.76 inference('sup-', [status(thm)], ['12', '13'])). 0.54/0.76 tff('15', plain, ~ in(kpair(sk_X18, sk_X20), sk_X16), 0.54/0.76 inference('ho_norm', [status(thm)], ['14'])). 0.54/0.76 tff('16', plain, in(kpair(sk_X18, sk_X20), sk_X16), 0.54/0.76 inference('cnf', [status(esa)], [zf_stmt_1])). 0.54/0.76 tff('17', plain, $false, inference('demod', [status(thm)], ['15', '16'])). 0.54/0.76 0.54/0.76 % SZS output end Refutation 0.54/0.76 0.54/0.76 0.54/0.76 % Terminating... 0.60/0.84 % Runner terminated. 0.60/0.85 % Zipperpin 1.5 exiting 0.60/0.85 EOF