0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DBsRoD6ggf true 0.13/0.34 % Computer : n008.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1200 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Jul 13 15:29:59 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 0.13/0.35 % Running in HO mode 0.21/0.63 % Total configuration time : 828 0.21/0.63 % Estimated wc time : 983 0.21/0.63 % Estimated cpu time (8 cpus) : 122.875 0.57/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.57/0.87 % Solved by lams/40_c_ic.sh. 0.57/0.87 % done 28 iterations in 0.080s 0.57/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.57/0.87 % SZS output start Refutation 0.57/0.87 thf(sk__11_type, type, sk__11: $i). 0.57/0.87 thf(kpair_type, type, kpair: $i > $i > $i). 0.57/0.87 thf(sk__16_type, type, sk__16: $i). 0.57/0.87 thf(setukpairinjR_type, type, setukpairinjR: $o). 0.57/0.87 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i). 0.57/0.87 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 0.57/0.87 thf('#_fresh_sk2_type', type, '#_fresh_sk2': $i > $i). 0.57/0.87 thf(cartprod_type, type, cartprod: $i > $i > $i). 0.57/0.87 thf(sk__17_type, type, sk__17: $i). 0.57/0.87 thf(sk__12_type, type, sk__12: $i). 0.57/0.87 thf(sk__14_type, type, sk__14: $i). 0.57/0.87 thf(dsetconstrER_type, type, dsetconstrER: $o). 0.57/0.87 thf(setukpairinjL_type, type, setukpairinjL: $o). 0.57/0.87 thf(sk__13_type, type, sk__13: $i > $i > $o). 0.57/0.87 thf(in_type, type, in: $i > $i > $o). 0.57/0.87 thf(sk__15_type, type, sk__15: $i). 0.57/0.87 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 0.57/0.87 thf(dpsetconstr, axiom,(( dpsetconstr ) = 0.57/0.87 (^[A:$i,B:$i,Xphi:( $i > $i > $o )]: 0.57/0.87 ( dsetconstr @ 0.57/0.87 ( cartprod @ A @ B ) @ 0.57/0.87 ( ^[Xu:$i]: 0.57/0.87 ( ?[Xx:$i]: 0.57/0.87 ( ( ?[Xy:$i]: 0.57/0.87 ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( Xphi @ Xx @ Xy ) & 0.57/0.87 ( in @ Xy @ B ) ) ) & 0.57/0.87 ( in @ Xx @ A ) ) ) ) )))). 0.57/0.87 thf('0', plain, 0.57/0.87 (( dpsetconstr ) = 0.57/0.87 ( ^[A:$i,B:$i,Xphi:( $i > $i > $o )]: 0.57/0.87 ( dsetconstr @ 0.57/0.87 ( cartprod @ A @ B ) @ 0.57/0.87 ( ^[Xu:$i]: 0.57/0.87 ( ?[Xx:$i]: 0.57/0.87 ( ( ?[Xy:$i]: 0.57/0.87 ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( Xphi @ Xx @ Xy ) & 0.57/0.87 ( in @ Xy @ B ) ) ) & 0.57/0.87 ( in @ Xx @ A ) ) ) ) ) )), 0.57/0.87 inference('simplify_rw_rule', [status(thm)], [dpsetconstr])). 0.57/0.87 thf('1', plain, 0.57/0.87 (( dpsetconstr ) = 0.57/0.87 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i > $o )]: 0.57/0.87 ( dsetconstr @ 0.57/0.87 ( cartprod @ V_1 @ V_2 ) @ 0.57/0.87 ( ^[V_4:$i]: 0.57/0.87 ( ?[X4:$i]: 0.57/0.87 ( ( ?[X6:$i]: 0.57/0.87 ( ( ( V_4 ) = ( kpair @ X4 @ X6 ) ) & ( V_3 @ X4 @ X6 ) & 0.57/0.87 ( in @ X6 @ V_2 ) ) ) & 0.57/0.87 ( in @ X4 @ V_1 ) ) ) ) ) )), 0.57/0.87 define([status(thm)])). 0.57/0.87 thf(setukpairinjR, axiom, setukpairinjR = 0.57/0.87 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 0.57/0.87 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xy ) = ( Xu ) ) ))). 0.57/0.87 thf('2', plain, 0.57/0.87 (( setukpairinjR ) = 0.57/0.87 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 0.57/0.87 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 0.57/0.87 ( ( X6 ) = ( X10 ) ) ) )), 0.57/0.87 define([status(thm)])). 0.57/0.87 thf(setukpairinjL, axiom, setukpairinjL = 0.57/0.87 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 0.57/0.87 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xx ) = ( Xz ) ) ))). 0.57/0.87 thf('3', plain, 0.57/0.87 (( setukpairinjL ) = 0.57/0.87 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 0.57/0.87 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 0.57/0.87 ( ( X4 ) = ( X8 ) ) ) )), 0.57/0.87 define([status(thm)])). 0.57/0.87 thf(dsetconstrER, axiom, dsetconstrER = 0.57/0.87 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 0.57/0.87 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 0.57/0.87 ( Xphi @ Xx ) ))). 0.57/0.87 thf('4', plain, 0.57/0.87 (( dsetconstrER ) = 0.57/0.87 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.57/0.87 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 0.57/0.87 ( X6 @ X8 ) ) )), 0.57/0.87 define([status(thm)])). 0.57/0.87 thf(dpsetconstrERa, conjecture, 0.57/0.87 (( dsetconstrER ) => 0.57/0.87 ( ( setukpairinjL ) => 0.57/0.87 ( ( setukpairinjR ) => 0.57/0.87 ( ![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i]: 0.57/0.87 ( ( in @ Xx @ A ) => 0.57/0.87 ( ![Xy:$i]: 0.57/0.87 ( ( in @ Xy @ B ) => 0.57/0.87 ( ( in @ 0.57/0.87 ( kpair @ Xx @ Xy ) @ 0.57/0.87 ( dpsetconstr @ 0.57/0.87 A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 0.57/0.87 ( Xphi @ Xx @ Xy ) ) ) ) ) ) ) ))). 0.57/0.87 thf(zf_stmt_0, conjecture, 0.57/0.87 (( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.57/0.87 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 0.57/0.87 ( X6 @ X8 ) ) ) => 0.57/0.87 ( ( ![X10:$i,X12:$i,X14:$i,X16:$i]: 0.57/0.87 ( ( ( kpair @ X10 @ X12 ) = ( kpair @ X14 @ X16 ) ) => 0.57/0.87 ( ( X10 ) = ( X14 ) ) ) ) => 0.57/0.87 ( ( ![X18:$i,X20:$i,X22:$i,X24:$i]: 0.57/0.87 ( ( ( kpair @ X18 @ X20 ) = ( kpair @ X22 @ X24 ) ) => 0.57/0.87 ( ( X20 ) = ( X24 ) ) ) ) => 0.57/0.87 ( ![X26:$i,X28:$i,X30:( $i > $i > $o ),X32:$i]: 0.57/0.87 ( ( in @ X32 @ X26 ) => 0.57/0.87 ( ![X34:$i]: 0.57/0.87 ( ( in @ X34 @ X28 ) => 0.57/0.87 ( ( in @ 0.57/0.87 ( kpair @ X32 @ X34 ) @ 0.57/0.87 ( dsetconstr @ 0.57/0.87 ( cartprod @ X26 @ X28 ) @ 0.57/0.87 ( ^[V_2:$i]: 0.57/0.87 ( ?[X36:$i]: 0.57/0.87 ( ( in @ X36 @ X26 ) & 0.57/0.87 ( ?[X38:$i]: 0.57/0.87 ( ( in @ X38 @ X28 ) & ( X30 @ X36 @ X38 ) & 0.57/0.87 ( ( V_2 ) = ( kpair @ X36 @ X38 ) ) ) ) ) ) ) ) ) => 0.57/0.87 ( X30 @ X32 @ X34 ) ) ) ) ) ) ) ))). 0.57/0.87 thf(zf_stmt_1, negated_conjecture, 0.57/0.87 (~( ( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.57/0.87 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 0.57/0.87 ( X6 @ X8 ) ) ) => 0.57/0.87 ( ( ![X10:$i,X12:$i,X14:$i,X16:$i]: 0.57/0.87 ( ( ( kpair @ X10 @ X12 ) = ( kpair @ X14 @ X16 ) ) => 0.57/0.87 ( ( X10 ) = ( X14 ) ) ) ) => 0.57/0.87 ( ( ![X18:$i,X20:$i,X22:$i,X24:$i]: 0.57/0.87 ( ( ( kpair @ X18 @ X20 ) = ( kpair @ X22 @ X24 ) ) => 0.57/0.87 ( ( X20 ) = ( X24 ) ) ) ) => 0.57/0.87 ( ![X26:$i,X28:$i,X30:( $i > $i > $o ),X32:$i]: 0.57/0.87 ( ( in @ X32 @ X26 ) => 0.57/0.87 ( ![X34:$i]: 0.57/0.87 ( ( in @ X34 @ X28 ) => 0.57/0.87 ( ( in @ 0.57/0.87 ( kpair @ X32 @ X34 ) @ 0.57/0.87 ( dsetconstr @ 0.57/0.87 ( cartprod @ X26 @ X28 ) @ 0.57/0.87 ( ^[V_2:$i]: 0.57/0.87 ( ?[X36:$i]: 0.57/0.87 ( ( in @ X36 @ X26 ) & 0.57/0.87 ( ?[X38:$i]: 0.57/0.87 ( ( in @ X38 @ X28 ) & ( X30 @ X36 @ X38 ) & 0.57/0.87 ( ( V_2 ) = ( kpair @ X36 @ X38 ) ) ) ) ) ) ) ) ) => 0.57/0.87 ( X30 @ X32 @ X34 ) ) ) ) ) ) ) ) )), 0.57/0.87 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.57/0.87 thf(zip_derived_cl0, plain, 0.57/0.87 (![X0 : $i > $o, X1 : $i, X2 : $i]: 0.57/0.87 ( (X0 @ X1) 0.57/0.87 | ~ (in @ X1 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X0 @ Y0)))))), 0.57/0.87 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.87 thf(zip_derived_cl93, plain, 0.57/0.87 (![X0 : $i > $o, X1 : $i, X2 : $i]: 0.57/0.87 ( (X0 @ X1) | ~ (in @ X1 @ (dsetconstr @ X2 @ X0)))), 0.57/0.87 inference('ho_norm', [status(thm)], [zip_derived_cl0])). 0.57/0.87 thf(zip_derived_cl4, plain, 0.57/0.87 ( (in @ (kpair @ sk__14 @ sk__15) @ 0.57/0.87 (dsetconstr @ (cartprod @ sk__11 @ sk__12) @ 0.57/0.87 (^[Y0 : $i]: 0.57/0.87 (((??) @ (^[Y1 : $i]: 0.57/0.87 (((in @ Y1 @ sk__11) & 0.57/0.87 (((??) @ (^[Y2 : $i]: 0.57/0.87 (((in @ Y2 @ sk__12) & 0.57/0.87 (sk__13 @ Y1 @ Y2) & 0.57/0.87 (((Y0) = (kpair @ Y1 @ Y2))))))))))))))))), 0.57/0.87 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.87 thf(zip_derived_cl173, plain, 0.57/0.87 ( ((^[Y0 : $i]: 0.57/0.87 (((??) @ (^[Y1 : $i]: 0.57/0.87 (((in @ Y1 @ sk__11) & 0.57/0.87 (((??) @ (^[Y2 : $i]: 0.57/0.87 (((in @ Y2 @ sk__12) & 0.57/0.87 (sk__13 @ Y1 @ Y2) & 0.57/0.87 (((Y0) = (kpair @ Y1 @ Y2)))))))))))))) @ 0.57/0.87 (kpair @ sk__14 @ sk__15))), 0.57/0.87 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl4])). 0.57/0.87 thf(zip_derived_cl174, plain, 0.57/0.87 ( (((??) @ (^[Y0 : $i]: 0.57/0.87 (((in @ Y0 @ sk__11) & 0.57/0.87 (((??) @ (^[Y1 : $i]: 0.57/0.87 (((in @ Y1 @ sk__12) & (sk__13 @ Y0 @ Y1) & 0.57/0.87 (((kpair @ sk__14 @ sk__15) = (kpair @ 0.57/0.87 Y0 @ Y1)))))))))))))), 0.57/0.87 inference('ho_norm', [status(thm)], [zip_derived_cl173])). 0.57/0.87 thf(zip_derived_cl213, plain, ( (sk__13 @ sk__16 @ sk__17)), 0.57/0.87 inference('cnf_otf', [status(thm)], [zip_derived_cl174])). 0.57/0.87 thf(zip_derived_cl214, plain, 0.57/0.87 (((kpair @ sk__14 @ sk__15) = (kpair @ sk__16 @ sk__17))), 0.57/0.87 inference('cnf_otf', [status(thm)], [zip_derived_cl174])). 0.57/0.87 thf(zip_derived_cl6, plain, 0.57/0.87 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i]: 0.57/0.87 (((X8) = (X7)) | ((kpair @ X8 @ X10) != (kpair @ X7 @ X9)))), 0.57/0.87 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.87 thf(zip_derived_cl71, plain, 0.57/0.87 (![X8 : $i, X10 : $i]: (('#_fresh_sk2' @ (kpair @ X8 @ X10)) = (X8))), 0.57/0.87 inference('inj_rec', [status(thm)], [zip_derived_cl6])). 0.57/0.87 thf(zip_derived_cl240, plain, 0.57/0.87 ((('#_fresh_sk2' @ (kpair @ sk__14 @ sk__15)) = (sk__16))), 0.57/0.87 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl71])). 0.57/0.87 thf(zip_derived_cl71, plain, 0.57/0.87 (![X8 : $i, X10 : $i]: (('#_fresh_sk2' @ (kpair @ X8 @ X10)) = (X8))), 0.57/0.87 inference('inj_rec', [status(thm)], [zip_derived_cl6])). 0.57/0.87 thf(zip_derived_cl260, plain, (((sk__14) = (sk__16))), 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl71])). 0.57/0.87 thf(zip_derived_cl264, plain, ( (sk__13 @ sk__14 @ sk__17)), 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl260])). 0.57/0.87 thf(zip_derived_cl214, plain, 0.57/0.87 (((kpair @ sk__14 @ sk__15) = (kpair @ sk__16 @ sk__17))), 0.57/0.87 inference('cnf_otf', [status(thm)], [zip_derived_cl174])). 0.57/0.87 thf(zip_derived_cl1, plain, 0.57/0.87 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i]: 0.57/0.87 (((X4) = (X3)) | ((kpair @ X6 @ X4) != (kpair @ X5 @ X3)))), 0.57/0.87 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.87 thf(zip_derived_cl28, plain, 0.57/0.87 (![X4 : $i, X6 : $i]: (('#_fresh_sk1' @ (kpair @ X6 @ X4)) = (X4))), 0.57/0.87 inference('inj_rec', [status(thm)], [zip_derived_cl1])). 0.57/0.87 thf(zip_derived_cl243, plain, 0.57/0.87 ((('#_fresh_sk1' @ (kpair @ sk__14 @ sk__15)) = (sk__17))), 0.57/0.87 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl28])). 0.57/0.87 thf(zip_derived_cl28, plain, 0.57/0.87 (![X4 : $i, X6 : $i]: (('#_fresh_sk1' @ (kpair @ X6 @ X4)) = (X4))), 0.57/0.87 inference('inj_rec', [status(thm)], [zip_derived_cl1])). 0.57/0.87 thf(zip_derived_cl261, plain, (((sk__15) = (sk__17))), 0.57/0.87 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl28])). 0.57/0.87 thf(zip_derived_cl3, plain, (~ (sk__13 @ sk__14 @ sk__15)), 0.57/0.87 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.87 thf(zip_derived_cl268, plain, ($false), 0.57/0.87 inference('demod', [status(thm)], 0.57/0.87 [zip_derived_cl264, zip_derived_cl261, zip_derived_cl3])). 0.57/0.87 0.57/0.87 % SZS output end Refutation 0.57/0.87 0.57/0.87 0.57/0.87 % Terminating... 0.60/0.95 % Runner terminated. 0.60/0.96 % Zipperpin 1.5 exiting 0.60/0.97 EOF