0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7xdo2uJLWo true 0.13/0.35 % Computer : n017.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 : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 05:43:30 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 960 s 0.13/0.35 % File : /export/starexec/sandbox/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 0.56/0.68 % Total configuration time : 828 0.56/0.68 % Estimated wc time : 1656 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.59/0.84 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.59/0.85 % Solved by lams/40_c.s.sh. 0.59/0.85 % done 11 iterations in 0.019s 0.59/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.59/0.85 % SZS output start Refutation 0.59/0.85 thf(sk__12_type, type, sk__12: $i). 0.59/0.85 thf(subrel_type, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.59/0.85 thf(sc_type, type, sc: ($i > $i > $o) > $i > $i > $o). 0.59/0.85 thf(sk__11_type, type, sk__11: $i). 0.59/0.85 thf(sk__10_type, type, sk__10: $i > $i > $o). 0.59/0.85 thf(trsc_type, type, trsc: ($i > $i > $o) > $i > $i > $o). 0.59/0.85 thf(tc_type, type, tc: ($i > $i > $o) > $i > $i > $o). 0.59/0.85 thf(trans_type, type, trans: ($i > $i > $o) > $o). 0.59/0.85 thf(sk__13_type, type, sk__13: $i > $i > $o). 0.59/0.85 thf(rc_type, type, rc: ($i > $i > $o) > $i > $i > $o). 0.59/0.85 thf(infl_type, type, infl: (($i > $i > $o) > $i > $i > $o) > $o). 0.59/0.85 thf(transitive_reflexive_symmetric_closure, axiom,(( trsc ) = 0.59/0.85 (^[R:( $i > $i > $o )]: ( sc @ ( rc @ ( tc @ R ) ) )))). 0.59/0.85 thf(transitive_closure, axiom,(( tc ) = 0.59/0.85 (^[R:( $i > $i > $o ),X:$i,Y:$i]: 0.59/0.85 ( ![S:( $i > $i > $o )]: 0.59/0.85 ( ( ( trans @ S ) & ( subrel @ R @ S ) ) => ( S @ X @ Y ) ) )))). 0.59/0.85 thf(transitive, axiom,(( trans ) = 0.59/0.85 (^[R:( $i > $i > $o )]: 0.59/0.85 ( ![X:$i,Y:$i,Z:$i]: 0.59/0.85 ( ( ( R @ X @ Y ) & ( R @ Y @ Z ) ) => ( R @ X @ Z ) ) )))). 0.59/0.85 thf('0', plain, 0.59/0.85 (( trans ) = 0.59/0.85 ( ^[R:( $i > $i > $o )]: 0.59/0.85 ( ![X:$i,Y:$i,Z:$i]: 0.59/0.85 ( ( ( R @ X @ Y ) & ( R @ Y @ Z ) ) => ( R @ X @ Z ) ) ) )), 0.59/0.85 inference('simplify_rw_rule', [status(thm)], [transitive])). 0.59/0.85 thf('1', plain, 0.59/0.85 (( trans ) = 0.59/0.85 ( ^[V_1:( $i > $i > $o )]: 0.59/0.85 ( ![X4:$i,X6:$i,X8:$i]: 0.59/0.85 ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X6 @ X8 ) ) => ( V_1 @ X4 @ X8 ) ) ) )), 0.59/0.85 define([status(thm)])). 0.59/0.85 thf(subrel, axiom,(( subrel ) = 0.59/0.85 (^[R:( $i > $i > $o ),S:( $i > $i > $o )]: 0.59/0.85 ( ![X:$i,Y:$i]: ( ( R @ X @ Y ) => ( S @ X @ Y ) ) )))). 0.59/0.85 thf('2', plain, 0.59/0.85 (( subrel ) = 0.59/0.85 ( ^[R:( $i > $i > $o ),S:( $i > $i > $o )]: 0.59/0.85 ( ![X:$i,Y:$i]: ( ( R @ X @ Y ) => ( S @ X @ Y ) ) ) )), 0.59/0.85 inference('simplify_rw_rule', [status(thm)], [subrel])). 0.59/0.85 thf('3', plain, 0.59/0.85 (( subrel ) = 0.59/0.85 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $i > $o )]: 0.59/0.85 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( V_2 @ X4 @ X6 ) ) ) )), 0.59/0.85 define([status(thm)])). 0.59/0.85 thf('4', plain, 0.59/0.85 (( tc ) = 0.59/0.85 ( ^[R:( $i > $i > $o ),X:$i,Y:$i]: 0.59/0.85 ( ![S:( $i > $i > $o )]: 0.59/0.85 ( ( ( trans @ S ) & ( subrel @ R @ S ) ) => ( S @ X @ Y ) ) ) )), 0.59/0.85 inference('simplify_rw_rule', [status(thm)], 0.59/0.85 [transitive_closure, '1', '3'])). 0.59/0.85 thf('5', plain, 0.59/0.85 (( tc ) = 0.59/0.85 ( ^[V_1:( $i > $i > $o ),V_2:$i,V_3:$i]: 0.59/0.85 ( ![X4:( $i > $i > $o )]: 0.59/0.85 ( ( ( trans @ X4 ) & ( subrel @ V_1 @ X4 ) ) => ( X4 @ V_2 @ V_3 ) ) ) )), 0.59/0.85 define([status(thm)])). 0.59/0.85 thf(symmetric_closure, axiom,(( sc ) = 0.59/0.85 (^[R:( $i > $i > $o ),X:$i,Y:$i]: ( ( R @ Y @ X ) | ( R @ X @ Y ) )))). 0.59/0.85 thf('6', plain, 0.59/0.85 (( sc ) = 0.59/0.85 ( ^[R:( $i > $i > $o ),X:$i,Y:$i]: ( ( R @ Y @ X ) | ( R @ X @ Y ) ) )), 0.59/0.85 inference('simplify_rw_rule', [status(thm)], [symmetric_closure])). 0.59/0.85 thf('7', plain, 0.59/0.85 (( sc ) = 0.59/0.85 ( ^[V_1:( $i > $i > $o ),V_2:$i,V_3:$i]: 0.59/0.85 ( ( V_1 @ V_3 @ V_2 ) | ( V_1 @ V_2 @ V_3 ) ) )), 0.59/0.85 define([status(thm)])). 0.59/0.85 thf(reflexive_closure, axiom,(( rc ) = 0.59/0.85 (^[R:( $i > $i > $o ),X:$i,Y:$i]: ( ( ( X ) = ( Y ) ) | ( R @ X @ Y ) )))). 0.59/0.85 thf('8', plain, 0.59/0.85 (( rc ) = 0.59/0.85 ( ^[R:( $i > $i > $o ),X:$i,Y:$i]: ( ( ( X ) = ( Y ) ) | ( R @ X @ Y ) ) )), 0.59/0.85 inference('simplify_rw_rule', [status(thm)], [reflexive_closure])). 0.59/0.85 thf('9', plain, 0.59/0.85 (( rc ) = 0.59/0.85 ( ^[V_1:( $i > $i > $o ),V_2:$i,V_3:$i]: 0.59/0.85 ( ( ( V_2 ) = ( V_3 ) ) | ( V_1 @ V_2 @ V_3 ) ) )), 0.59/0.85 define([status(thm)])). 0.59/0.85 thf('10', plain, 0.59/0.85 (( trsc ) = ( ^[R:( $i > $i > $o )]: ( sc @ ( rc @ ( tc @ R ) ) ) )), 0.59/0.85 inference('simplify_rw_rule', [status(thm)], 0.59/0.85 [transitive_reflexive_symmetric_closure, '5', '1', '7', '9', 0.59/0.85 '3'])). 0.59/0.85 thf('11', plain, 0.59/0.85 (( trsc ) = ( ^[V_1:( $i > $i > $o )]: ( sc @ ( rc @ ( tc @ V_1 ) ) ) )), 0.59/0.85 define([status(thm)])). 0.59/0.85 thf(inflationary, axiom,(( infl ) = 0.59/0.85 (^[F:( ( $i > $i > $o ) > $i > $i > $o )]: 0.59/0.85 ( ![R:( $i > $i > $o )]: ( subrel @ R @ ( F @ R ) ) )))). 0.59/0.85 thf('12', plain, 0.59/0.85 (( infl ) = 0.59/0.85 ( ^[F:( ( $i > $i > $o ) > $i > $i > $o )]: 0.59/0.85 ( ![R:( $i > $i > $o )]: ( subrel @ R @ ( F @ R ) ) ) )), 0.59/0.85 inference('simplify_rw_rule', [status(thm)], [inflationary, '3'])). 0.59/0.85 thf('13', plain, 0.59/0.85 (( infl ) = 0.59/0.85 ( ^[V_1:( ( $i > $i > $o ) > $i > $i > $o )]: 0.59/0.85 ( ![X4:( $i > $i > $o )]: ( subrel @ X4 @ ( V_1 @ X4 ) ) ) )), 0.59/0.85 define([status(thm)])). 0.59/0.85 thf(transitive_reflexive_symmetric_closure_op_is_inflationary, conjecture, 0.59/0.85 (infl @ trsc)). 0.59/0.85 thf(zf_stmt_0, conjecture, 0.59/0.85 (![X4:( $i > $i > $o ),X6:$i,X8:$i]: 0.59/0.85 ( ( X4 @ X6 @ X8 ) => 0.59/0.85 ( ( ( X8 ) = ( X6 ) ) | 0.59/0.85 ( ![X10:( $i > $i > $o )]: 0.59/0.85 ( ( ( ![X12:$i,X14:$i,X16:$i]: 0.59/0.85 ( ( ( X10 @ X12 @ X14 ) & ( X10 @ X14 @ X16 ) ) => 0.59/0.85 ( X10 @ X12 @ X16 ) ) ) & 0.59/0.85 ( ![X18:$i,X20:$i]: 0.59/0.85 ( ( X4 @ X18 @ X20 ) => ( X10 @ X18 @ X20 ) ) ) ) => 0.59/0.85 ( X10 @ X8 @ X6 ) ) ) | 0.59/0.85 ( ( X6 ) = ( X8 ) ) | 0.59/0.85 ( ![X22:( $i > $i > $o )]: 0.59/0.85 ( ( ( ![X24:$i,X26:$i,X28:$i]: 0.59/0.85 ( ( ( X22 @ X24 @ X26 ) & ( X22 @ X26 @ X28 ) ) => 0.59/0.85 ( X22 @ X24 @ X28 ) ) ) & 0.59/0.85 ( ![X30:$i,X32:$i]: 0.59/0.85 ( ( X4 @ X30 @ X32 ) => ( X22 @ X30 @ X32 ) ) ) ) => 0.59/0.85 ( X22 @ X6 @ X8 ) ) ) ) ))). 0.59/0.85 thf(zf_stmt_1, negated_conjecture, 0.59/0.85 (~( ![X4:( $i > $i > $o ),X6:$i,X8:$i]: 0.59/0.85 ( ( X4 @ X6 @ X8 ) => 0.59/0.85 ( ( ( X8 ) = ( X6 ) ) | 0.59/0.85 ( ![X10:( $i > $i > $o )]: 0.59/0.85 ( ( ( ![X12:$i,X14:$i,X16:$i]: 0.59/0.85 ( ( ( X10 @ X12 @ X14 ) & ( X10 @ X14 @ X16 ) ) => 0.59/0.85 ( X10 @ X12 @ X16 ) ) ) & 0.59/0.85 ( ![X18:$i,X20:$i]: 0.59/0.85 ( ( X4 @ X18 @ X20 ) => ( X10 @ X18 @ X20 ) ) ) ) => 0.59/0.85 ( X10 @ X8 @ X6 ) ) ) | 0.59/0.85 ( ( X6 ) = ( X8 ) ) | 0.59/0.85 ( ![X22:( $i > $i > $o )]: 0.59/0.85 ( ( ( ![X24:$i,X26:$i,X28:$i]: 0.59/0.85 ( ( ( X22 @ X24 @ X26 ) & ( X22 @ X26 @ X28 ) ) => 0.59/0.85 ( X22 @ X24 @ X28 ) ) ) & 0.59/0.85 ( ![X30:$i,X32:$i]: 0.59/0.85 ( ( X4 @ X30 @ X32 ) => ( X22 @ X30 @ X32 ) ) ) ) => 0.59/0.85 ( X22 @ X6 @ X8 ) ) ) ) ) )), 0.59/0.85 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.59/0.85 thf(zip_derived_cl6, plain, (~ (sk__13 @ sk__11 @ sk__12)), 0.59/0.85 inference('cnf', [status(esa)], [zf_stmt_1])). 0.59/0.85 thf(zip_derived_cl7, plain, 0.59/0.85 (![X5 : $i, X6 : $i]: ( (sk__13 @ X5 @ X6) | ~ (sk__10 @ X5 @ X6))), 0.59/0.85 inference('cnf', [status(esa)], [zf_stmt_1])). 0.59/0.85 thf(zip_derived_cl0, plain, ( (sk__10 @ sk__11 @ sk__12)), 0.59/0.85 inference('cnf', [status(esa)], [zf_stmt_1])). 0.59/0.85 thf(zip_derived_cl13, plain, ( (sk__13 @ sk__11 @ sk__12)), 0.59/0.85 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])). 0.59/0.85 thf(zip_derived_cl17, plain, ($false), 0.59/0.85 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl13])). 0.59/0.85 0.59/0.85 % SZS output end Refutation 0.59/0.85 0.59/0.85 0.59/0.85 % Terminating... 0.60/0.89 % Runner terminated. 2.26/0.91 % Zipperpin 1.5 exiting 2.26/0.91 EOF