0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.cHPXrlMOs3 0.11/0.32 % Computer : n027.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % DateTime : Tue Jul 13 15:50:40 EDT 2021 0.11/0.33 % CPUTime : 0.11/0.33 % Running portfolio for 120 s 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.33 % Number of cores: 8 0.11/0.33 % Python version: Python 3.6.8 0.11/0.33 % Running in HO mode 0.44/0.60 % Estimated wc time : 1286 0.44/0.60 % Estimated cpu time (7 cpus) : 183.71428571428572 0.47/0.69 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.47/0.69 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.47/0.69 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.47/0.73 % Solved by lams/s6.sh. 0.47/0.73 % done 3 iterations in 0.010s 0.47/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.47/0.73 % SZS output start Refutation 0.47/0.73 tff(breln1compset, axiom, breln1compset() = 0.47/0.73 ^[A,R,S]: 0.47/0.73 dpsetconstr(A,A, 0.47/0.73 ^[Xx,Xy]: 0.47/0.73 (?[Xz]: 0.47/0.73 (in(kpair(Xz,Xy),S) & in(kpair(Xx,Xz),R) & in(Xz,A))))). 0.47/0.73 tff('0', plain, 0.47/0.73 breln1compset = 0.47/0.73 (^[A,R,S]: 0.47/0.73 dpsetconstr(A,A, 0.47/0.73 ^[Xx,Xy]: 0.47/0.73 (?[Xz]: 0.47/0.73 (in(kpair(Xz,Xy),S) & in(kpair(Xx,Xz),R) & in(Xz,A))))), 0.47/0.73 inference('simplify_rw_rule', [status(thm)], [breln1compset])). 0.47/0.73 tff('1', plain, 0.47/0.73 breln1compset = 0.47/0.73 (^[V_1,V_2,V_3]: 0.47/0.73 dpsetconstr(V_1,V_1, 0.47/0.73 ^[V_4,V_5]: 0.47/0.73 (?[X4]: 0.47/0.73 (in(kpair(X4,V_5),V_3) & in(kpair(V_4,X4),V_2) & 0.47/0.73 in(X4,V_1))))), 0.47/0.73 define([status(thm)])). 0.47/0.73 tff(setOfPairsIsBReln1, axiom, setOfPairsIsBReln1 <=> 0.47/0.73 (![A,Xphi:(($i * $i) > $o)]: 0.47/0.73 breln1(A,dpsetconstr(A,A,^[Xx,Xy]: Xphi(Xx,Xy))))). 0.47/0.73 tff('2', plain, 0.47/0.73 setOfPairsIsBReln1 = 0.47/0.73 (![X4,X6:(($i * $i) > $o)]: 0.47/0.73 breln1(X4,dpsetconstr(X4,X4,^[V_1,V_2]: X6(V_1,V_2)))), 0.47/0.73 define([status(thm)])). 0.47/0.73 tff(breln1, axiom, breln1() = ^[A,R]: breln(A,A,R)). 0.47/0.73 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 0.47/0.73 tff('3', plain, breln = (^[A,B,C]: subset(C,cartprod(A,B))), 0.47/0.73 inference('simplify_rw_rule', [status(thm)], [breln])). 0.47/0.73 tff('4', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 0.47/0.73 define([status(thm)])). 0.47/0.73 tff('5', plain, breln1 = (^[A,R]: breln(A,A,R)), 0.47/0.73 inference('simplify_rw_rule', [status(thm)], [breln1, '4'])). 0.47/0.73 tff('6', plain, breln1 = (^[V_1,V_2]: breln(V_1,V_1,V_2)), 0.47/0.73 define([status(thm)])). 0.47/0.73 tff(breln1compprop, conjecture, 0.47/0.73 (setOfPairsIsBReln1 => 0.47/0.73 (![A,R]: 0.47/0.73 (breln1(A,R) => (![S]: (breln1(A,S) => breln1(A,breln1compset(A,R,S)))))))). 0.47/0.73 tff(zf_stmt_0, conjecture, 0.47/0.73 ((![X4,X6:(($i * $i) > $o)]: 0.47/0.73 subset(dpsetconstr(X4,X4,^[V_1,V_2]: X6(V_1,V_2)),cartprod(X4,X4))) => 0.47/0.73 (![X8,X10]: 0.47/0.73 (subset(X10,cartprod(X8,X8)) => 0.47/0.73 (![X12]: 0.47/0.73 (subset(X12,cartprod(X8,X8)) => 0.47/0.73 subset(dpsetconstr(X8,X8, 0.47/0.73 ^[V_3,V_4]: 0.47/0.73 (?[X14]: 0.47/0.73 (in(X14,X8) & in(kpair(V_3,X14),X10) & 0.47/0.73 in(kpair(X14,V_4),X12)))), 0.47/0.73 cartprod(X8,X8)))))))). 0.47/0.73 tff(zf_stmt_1, negated_conjecture, 0.47/0.73 (~ 0.47/0.73 ((![X4,X6:(($i * $i) > $o)]: 0.47/0.73 subset(dpsetconstr(X4,X4,^[V_1,V_2]: X6(V_1,V_2)),cartprod(X4,X4))) => 0.47/0.73 (![X8,X10]: 0.47/0.73 (subset(X10,cartprod(X8,X8)) => 0.47/0.73 (![X12]: 0.47/0.73 (subset(X12,cartprod(X8,X8)) => 0.47/0.73 subset(dpsetconstr(X8,X8, 0.47/0.73 ^[V_3,V_4]: 0.47/0.73 (?[X14]: 0.47/0.73 (in(X14,X8) & in(kpair(V_3,X14),X10) & 0.47/0.73 in(kpair(X14,V_4),X12)))), 0.47/0.73 cartprod(X8,X8))))))))). 0.47/0.73 tff('7', plain, 0.47/0.73 ~ subset( 0.47/0.73 dpsetconstr(sk_X8, sk_X8, 0.47/0.73 (^[Y0 : $i,Y1 : $i]: 0.47/0.73 (??((^[Y2 : $i]: 0.47/0.73 (in(Y2, sk_X8)&in(kpair(Y0, Y2), sk_X10)& 0.47/0.73 in(kpair(Y2, Y1), sk_X12))))))), cartprod(sk_X8, sk_X8)), 0.47/0.73 inference('cnf', [status(esa)], [zf_stmt_1])). 0.47/0.73 tff('8', plain, 0.47/0.73 ![X10, X11 : ($i * $i) > $o]: 0.47/0.73 subset(dpsetconstr(X10, X10, (^[Y0 : $i,Y1 : $i]: X11(Y0, Y1))), 0.47/0.73 cartprod(X10, X10)), 0.47/0.73 inference('cnf', [status(esa)], [zf_stmt_1])). 0.47/0.73 tff('9', plain, 0.47/0.73 ![X10, X11 : ($i * $i) > $o]: 0.47/0.73 subset(dpsetconstr(X10, X10, X11), cartprod(X10, X10)), 0.47/0.73 inference('ho_norm', [status(thm)], ['8'])). 0.47/0.73 tff('10', plain, $false, inference('demod', [status(thm)], ['7', '9'])). 0.47/0.73 0.47/0.73 % SZS output end Refutation 0.47/0.73 0.47/0.73 0.47/0.73 % Terminating... 0.54/0.80 % Runner terminated. 1.70/0.82 % Zipperpin 1.5 exiting 1.70/0.82 EOF