0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.sF3ntffNnv 0.13/0.35 % Computer : n002.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1200 0.13/0.35 % DateTime : Tue Jul 13 13:07:33 EDT 2021 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 120 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.36 % Running in HO mode 0.54/0.65 % Estimated wc time : 1286 0.54/0.65 % Estimated cpu time (7 cpus) : 183.71428571428572 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.56/0.84 % Solved by lams/s6.sh. 0.56/0.84 % done 31 iterations in 0.098s 0.56/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.56/0.84 % SZS output start Refutation 0.56/0.84 tff(breln1compset, axiom, breln1compset() = 0.56/0.84 ^[A,R,S]: 0.56/0.84 dpsetconstr(A,A, 0.56/0.84 ^[Xx,Xy]: 0.56/0.84 (?[Xz]: 0.56/0.84 (in(kpair(Xz,Xy),S) & in(kpair(Xx,Xz),R) & in(Xz,A))))). 0.56/0.84 tff('0', plain, 0.56/0.84 breln1compset = 0.56/0.84 (^[A,R,S]: 0.56/0.84 dpsetconstr(A,A, 0.56/0.84 ^[Xx,Xy]: 0.56/0.84 (?[Xz]: 0.56/0.84 (in(kpair(Xz,Xy),S) & in(kpair(Xx,Xz),R) & in(Xz,A))))), 0.56/0.84 inference('simplify_rw_rule', [status(thm)], [breln1compset])). 0.56/0.84 tff('1', plain, 0.56/0.84 breln1compset = 0.56/0.84 (^[V_1,V_2,V_3]: 0.56/0.84 dpsetconstr(V_1,V_1, 0.56/0.84 ^[V_4,V_5]: 0.56/0.84 (?[X4]: 0.56/0.84 (in(kpair(X4,V_5),V_3) & in(kpair(V_4,X4),V_2) & 0.56/0.84 in(X4,V_1))))), 0.56/0.84 define([status(thm)])). 0.56/0.84 tff(breln1, axiom, breln1() = ^[A,R]: breln(A,A,R)). 0.56/0.84 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 0.56/0.84 tff('2', plain, breln = (^[A,B,C]: subset(C,cartprod(A,B))), 0.56/0.84 inference('simplify_rw_rule', [status(thm)], [breln])). 0.56/0.84 tff('3', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 0.56/0.84 define([status(thm)])). 0.56/0.84 tff('4', plain, breln1 = (^[A,R]: breln(A,A,R)), 0.56/0.84 inference('simplify_rw_rule', [status(thm)], [breln1, '3'])). 0.56/0.84 tff('5', plain, breln1 = (^[V_1,V_2]: breln(V_1,V_1,V_2)), 0.56/0.84 define([status(thm)])). 0.56/0.84 tff(dpsetconstrI, axiom, dpsetconstrI <=> 0.56/0.84 (![A,B,Xphi:(($i * $i) > $o),Xx]: 0.56/0.84 (in(Xx,A) => 0.56/0.84 (![Xy]: 0.56/0.84 (in(Xy,B) => 0.56/0.84 (Xphi(Xx,Xy) => 0.56/0.84 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 0.56/0.84 tff('6', plain, 0.56/0.84 dpsetconstrI = 0.56/0.84 (![X4,X6,X8:(($i * $i) > $o),X10]: 0.56/0.84 (in(X10,X4) => 0.56/0.84 (![X12]: 0.56/0.84 (in(X12,X6) => 0.56/0.84 (X8(X10,X12) => 0.56/0.84 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))), 0.56/0.84 define([status(thm)])). 0.56/0.84 tff(breln1compI, conjecture, 0.56/0.84 (dpsetconstrI => 0.56/0.84 (![A,R]: 0.56/0.84 (breln1(A,R) => 0.56/0.84 (![S]: 0.56/0.84 (breln1(A,S) => 0.56/0.84 (![Xx]: 0.56/0.84 (in(Xx,A) => 0.56/0.84 (![Xy]: 0.56/0.84 (in(Xy,A) => 0.56/0.84 (![Xz]: 0.56/0.84 (in(Xz,A) => 0.56/0.84 (in(kpair(Xx,Xz),R) => 0.56/0.84 (in(kpair(Xz,Xy),S) => 0.56/0.84 in(kpair(Xx,Xy),breln1compset(A,R,S)))))))))))))))). 0.56/0.84 tff(zf_stmt_0, conjecture, 0.56/0.84 ((![X4,X6,X8:(($i * $i) > $o),X10]: 0.56/0.84 (in(X10,X4) => 0.56/0.84 (![X12]: 0.56/0.84 (in(X12,X6) => 0.56/0.84 (X8(X10,X12) => 0.56/0.84 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))) => 0.56/0.84 (![X14,X16]: 0.56/0.84 (subset(X16,cartprod(X14,X14)) => 0.56/0.84 (![X18]: 0.56/0.84 (subset(X18,cartprod(X14,X14)) => 0.56/0.84 (![X20]: 0.56/0.84 (in(X20,X14) => 0.56/0.84 (![X22]: 0.56/0.84 (in(X22,X14) => 0.56/0.84 (![X24]: 0.56/0.84 (in(X24,X14) => 0.56/0.84 (in(kpair(X20,X24),X16) => 0.56/0.84 (in(kpair(X24,X22),X18) => 0.56/0.84 in(kpair(X20,X22), 0.56/0.84 dpsetconstr(X14,X14, 0.56/0.84 ^[V_3,V_4]: 0.56/0.84 (?[X26]: 0.56/0.84 (in(X26,X14) & 0.56/0.84 in(kpair(V_3,X26),X16) & 0.56/0.84 in(kpair(X26,V_4),X18))))))))))))))))))). 0.56/0.84 tff(zf_stmt_1, negated_conjecture, 0.56/0.84 (~ 0.56/0.84 ((![X4,X6,X8:(($i * $i) > $o),X10]: 0.56/0.84 (in(X10,X4) => 0.56/0.84 (![X12]: 0.56/0.84 (in(X12,X6) => 0.56/0.84 (X8(X10,X12) => 0.56/0.84 in(kpair(X10,X12),dpsetconstr(X4,X6,^[V_1,V_2]: X8(V_1,V_2)))))))) => 0.56/0.84 (![X14,X16]: 0.56/0.84 (subset(X16,cartprod(X14,X14)) => 0.56/0.84 (![X18]: 0.56/0.84 (subset(X18,cartprod(X14,X14)) => 0.56/0.84 (![X20]: 0.56/0.84 (in(X20,X14) => 0.56/0.84 (![X22]: 0.56/0.84 (in(X22,X14) => 0.56/0.84 (![X24]: 0.56/0.84 (in(X24,X14) => 0.56/0.84 (in(kpair(X20,X24),X16) => 0.56/0.84 (in(kpair(X24,X22),X18) => 0.56/0.84 in(kpair(X20,X22), 0.56/0.84 dpsetconstr(X14,X14, 0.56/0.84 ^[V_3,V_4]: 0.56/0.84 (?[X26]: 0.56/0.84 (in(X26,X14) & 0.56/0.84 in(kpair(V_3,X26),X16) & 0.56/0.84 in(kpair(X26,V_4),X18)))))))))))))))))))). 0.56/0.84 tff('7', plain, in(kpair(sk_X24, sk_X22), sk_X18), 0.56/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.84 tff('8', plain, in(sk_X20, sk_X14), 0.56/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.84 tff('9', plain, in(sk_X22, sk_X14), 0.56/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.84 tff('10', plain, 0.56/0.84 ![X13, X14, X15, X16, X17 : ($i * $i) > $o]: 0.56/0.84 (~ in(X13, X14) 0.56/0.84 | in(kpair(X15, X13), 0.56/0.84 dpsetconstr(X16, X14, (^[Y0 : $i,Y1 : $i]: X17(Y0, Y1)))) 0.56/0.84 | ~ X17(X15, X13) 0.56/0.84 | ~ in(X15, X16)), 0.56/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.84 tff('11', plain, 0.56/0.84 ![X13, X14, X15, X16, X17 : ($i * $i) > $o]: 0.56/0.84 (~ in(X13, X14) 0.56/0.84 | in(kpair(X15, X13), dpsetconstr(X16, X14, X17)) 0.56/0.84 | ~ X17(X15, X13) 0.56/0.84 | ~ in(X15, X16)), 0.56/0.84 inference('ho_norm', [status(thm)], ['10'])). 0.56/0.84 tff('12', plain, 0.56/0.84 ![X0, X1, X2 : ($i * $i) > $o]: 0.56/0.84 (~ in(X1, X0) 0.56/0.84 | ~ X2(X1, sk_X22) 0.56/0.84 | in(kpair(X1, sk_X22), dpsetconstr(X0, sk_X14, X2))), 0.56/0.84 inference('sup-', [status(thm)], ['9', '11'])). 0.56/0.84 tff('13', plain, 0.56/0.84 ![X0 : ($i * $i) > $o]: 0.56/0.84 ( in(kpair(sk_X20, sk_X22), dpsetconstr(sk_X14, sk_X14, X0)) 0.56/0.84 | ~ X0(sk_X20, sk_X22)), 0.56/0.84 inference('sup-', [status(thm)], ['8', '12'])). 0.56/0.84 tff('14', plain, 0.56/0.84 ~ in(kpair(sk_X20, sk_X22), 0.56/0.84 dpsetconstr(sk_X14, sk_X14, 0.56/0.84 (^[Y0 : $i,Y1 : $i]: 0.56/0.84 (??((^[Y2 : $i]: 0.56/0.84 (in(Y2, sk_X14)&in(kpair(Y0, Y2), sk_X16)& 0.56/0.84 in(kpair(Y2, Y1), sk_X18)))))))), 0.56/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.84 tff('15', plain, 0.56/0.84 ~ (^[Y0 : $i,Y1 : $i]: 0.56/0.84 (??((^[Y2 : $i]: 0.56/0.84 (in(Y2, sk_X14)&in(kpair(Y0, Y2), sk_X16)& 0.56/0.84 in(kpair(Y2, Y1), sk_X18))))))(sk_X20, sk_X22), 0.56/0.84 inference('sup-', [status(thm)], ['13', '14'])). 0.56/0.84 tff('16', plain, 0.56/0.84 ~ (??((^[Y0 : $i]: 0.56/0.84 (in(Y0, sk_X14)&in(kpair(sk_X20, Y0), sk_X16)& 0.56/0.84 in(kpair(Y0, sk_X22), sk_X18))))), 0.56/0.84 inference('ho_norm', [status(thm)], ['15'])). 0.56/0.84 tff('17', plain, 0.56/0.84 ![X0]: 0.56/0.84 (~ in(X0, sk_X14) 0.56/0.84 | ~ in(kpair(sk_X20, X0), sk_X16) 0.56/0.84 | ~ in(kpair(X0, sk_X22), sk_X18)), 0.56/0.84 inference('cnf_otf', [status(thm)], ['16'])). 0.56/0.84 tff('18', plain, 0.56/0.84 (~ in(kpair(sk_X20, sk_X24), sk_X16) | ~ in(sk_X24, sk_X14)), 0.56/0.84 inference('sup-', [status(thm)], ['7', '17'])). 0.56/0.84 tff('19', plain, in(kpair(sk_X20, sk_X24), sk_X16), 0.56/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.84 tff('20', plain, in(sk_X24, sk_X14), 0.56/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.84 tff('21', plain, $false, 0.56/0.84 inference('demod', [status(thm)], ['18', '19', '20'])). 0.56/0.84 0.56/0.84 % SZS output end Refutation 0.56/0.84 0.56/0.84 0.56/0.84 % Terminating... 1.50/0.89 % Runner terminated. 1.50/0.90 % Zipperpin 1.5 exiting 1.50/0.90 EOF