0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MLOAw3JF89 true 0.10/0.32 % Computer : n017.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 03:38:45 EDT 2022 0.10/0.32 % CPUTime : 0.10/0.32 % Running portfolio for 960 s 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.32 % Number of cores: 8 0.10/0.32 % Python version: Python 3.6.8 0.10/0.32 % Running in HO mode 0.58/0.62 % Total configuration time : 828 0.58/0.62 % Estimated wc time : 1656 0.58/0.62 % Estimated cpu time (8 cpus) : 207.0 1.12/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 1.12/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 1.12/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 1.12/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 1.28/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 1.28/0.80 % Solved by lams/35_full_unif4.sh. 1.28/0.80 % done 13 iterations in 0.051s 1.28/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.28/0.80 % SZS output start Refutation 1.28/0.80 thf(q_type, type, q: $i > $o). 1.28/0.80 thf(rel_s4_type, type, rel_s4: $i > $i > $o). 1.28/0.80 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 1.28/0.80 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 1.28/0.80 thf('#sk2_type', type, '#sk2': $i). 1.28/0.80 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.28/0.80 thf('#sk1_type', type, '#sk1': $i). 1.28/0.80 thf(p_type, type, p: $i > $o). 1.28/0.80 thf(mdia_s4_type, type, mdia_s4: ($i > $o) > $i > $o). 1.28/0.80 thf('#sk3_type', type, '#sk3': $i). 1.28/0.80 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 1.28/0.80 thf(r_type, type, r: $i > $o). 1.28/0.80 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.28/0.80 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 1.28/0.80 thf(mdia_s4, axiom,(( mdia_s4 ) = 1.28/0.80 (^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) )))). 1.28/0.80 thf(mbox_s4, axiom,(( mbox_s4 ) = 1.28/0.80 (^[Phi:( $i > $o ),W:$i]: 1.28/0.80 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) )))). 1.28/0.80 thf('0', plain, 1.28/0.80 (( mbox_s4 ) = 1.28/0.80 ( ^[Phi:( $i > $o ),W:$i]: 1.28/0.80 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) ) )), 1.28/0.80 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 1.28/0.80 thf('1', plain, 1.28/0.80 (( mbox_s4 ) = 1.28/0.80 ( ^[V_1:( $i > $o ),V_2:$i]: 1.28/0.80 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s4 @ V_2 @ X4 ) ) ) ) )), 1.28/0.80 define([status(thm)])). 1.28/0.80 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 1.28/0.80 thf('2', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 1.28/0.80 inference('simplify_rw_rule', [status(thm)], [mnot])). 1.28/0.80 thf('3', plain, 1.28/0.80 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 1.28/0.80 define([status(thm)])). 1.28/0.80 thf('4', plain, 1.28/0.80 (( mdia_s4 ) = 1.28/0.80 ( ^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) )), 1.28/0.80 inference('simplify_rw_rule', [status(thm)], [mdia_s4, '1', '3'])). 1.28/0.80 thf('5', plain, 1.28/0.80 (( mdia_s4 ) = 1.28/0.80 ( ^[V_1:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ V_1 ) ) ) )), 1.28/0.80 define([status(thm)])). 1.28/0.80 thf(mvalid, axiom,(( mvalid ) = 1.28/0.80 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 1.28/0.80 thf('6', plain, 1.28/0.80 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 1.28/0.80 inference('simplify_rw_rule', [status(thm)], [mvalid])). 1.28/0.80 thf('7', plain, 1.28/0.80 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 1.28/0.80 define([status(thm)])). 1.28/0.80 thf(mimplies, axiom,(( mimplies ) = 1.28/0.80 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 1.28/0.80 thf(mor, axiom,(( mor ) = 1.28/0.80 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 1.28/0.80 thf('8', plain, 1.28/0.80 (( mor ) = 1.28/0.80 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 1.28/0.80 inference('simplify_rw_rule', [status(thm)], [mor])). 1.28/0.80 thf('9', plain, 1.28/0.80 (( mor ) = 1.28/0.80 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 1.28/0.80 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 1.28/0.80 define([status(thm)])). 1.28/0.80 thf('10', plain, 1.28/0.80 (( mimplies ) = 1.28/0.80 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 1.28/0.80 inference('simplify_rw_rule', [status(thm)], [mimplies, '9', '3'])). 1.28/0.80 thf('11', plain, 1.28/0.80 (( mimplies ) = 1.28/0.80 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 1.28/0.80 define([status(thm)])). 1.28/0.80 thf(mand, axiom,(( mand ) = 1.28/0.80 (^[Phi:( $i > $o ),Psi:( $i > $o )]: 1.28/0.80 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) )))). 1.28/0.80 thf('12', plain, 1.28/0.80 (( mand ) = 1.28/0.80 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: 1.28/0.80 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) )), 1.28/0.80 inference('simplify_rw_rule', [status(thm)], [mand, '9', '3'])). 1.28/0.80 thf('13', plain, 1.28/0.80 (( mand ) = 1.28/0.80 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 1.28/0.80 ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) )), 1.28/0.80 define([status(thm)])). 1.28/0.80 thf(prove, conjecture, 1.28/0.80 (mvalid @ 1.28/0.80 ( mimplies @ 1.28/0.80 ( mor @ ( mdia_s4 @ ( mand @ p @ q ) ) @ ( mdia_s4 @ ( mand @ p @ r ) ) ) @ 1.28/0.80 ( mdia_s4 @ p ) ))). 1.28/0.80 thf(zf_stmt_0, conjecture, 1.28/0.80 (![X4:$i]: 1.28/0.80 ( ( ~( ![X10:$i]: ( ( ~( rel_s4 @ X4 @ X10 ) ) | ( ~( p @ X10 ) ) ) ) ) | 1.28/0.80 ( ~( ( ~( ![X8:$i]: 1.28/0.80 ( ( ~( rel_s4 @ X4 @ X8 ) ) | ( ~( p @ X8 ) ) | 1.28/0.80 ( ~( r @ X8 ) ) ) ) ) | 1.28/0.80 ( ~( ![X6:$i]: 1.28/0.80 ( ( ~( rel_s4 @ X4 @ X6 ) ) | ( ~( p @ X6 ) ) | 1.28/0.80 ( ~( q @ X6 ) ) ) ) ) ) ) ))). 1.28/0.80 thf(zf_stmt_1, negated_conjecture, 1.28/0.80 (~( ![X4:$i]: 1.28/0.80 ( ( ~( ![X10:$i]: ( ( ~( rel_s4 @ X4 @ X10 ) ) | ( ~( p @ X10 ) ) ) ) ) | 1.28/0.80 ( ~( ( ~( ![X8:$i]: 1.28/0.80 ( ( ~( rel_s4 @ X4 @ X8 ) ) | ( ~( p @ X8 ) ) | 1.28/0.80 ( ~( r @ X8 ) ) ) ) ) | 1.28/0.80 ( ~( ![X6:$i]: 1.28/0.80 ( ( ~( rel_s4 @ X4 @ X6 ) ) | ( ~( p @ X6 ) ) | 1.28/0.80 ( ~( q @ X6 ) ) ) ) ) ) ) ) )), 1.28/0.80 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 1.28/0.80 thf(zip_derived_cl2, plain, 1.28/0.80 (~ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (((!!) @ (^[Y1 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 1.28/0.80 (((~) @ (p @ Y1)))))))))) | 1.28/0.80 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ Y0 @ 1.28/0.80 Y1))) | 1.28/0.80 (((~) @ (p @ Y1))) | 1.28/0.80 (((~) @ (r @ Y1)))))))))) | 1.28/0.80 (((~) @ (((!!) @ (^[Y1 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ Y0 @ 1.28/0.80 Y1))) | 1.28/0.80 (((~) @ (p @ Y1))) | 1.28/0.80 (((~) @ (q @ Y1)))))))))))))))))))), 1.28/0.80 inference('cnf', [status(esa)], [zf_stmt_1])). 1.28/0.80 thf(zip_derived_cl17, plain, 1.28/0.80 (~ (((((~) @ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0)))))))))) | 1.28/0.80 (((~) @ (((((~) @ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | 1.28/0.80 (((~) @ (r @ Y0)))))))))) | 1.28/0.80 (((~) @ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | 1.28/0.80 (((~) @ (q @ Y0))))))))))))))))), 1.28/0.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 1.28/0.80 thf(zip_derived_cl18, plain, 1.28/0.80 ( (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | (((~) @ (p @ Y0))))))))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 1.28/0.80 thf(zip_derived_cl20, plain, 1.28/0.80 (![X2 : $i]: (((((~) @ (rel_s4 @ '#sk1' @ X2))) | (((~) @ (p @ X2)))))), 1.28/0.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])). 1.28/0.80 thf(zip_derived_cl22, plain, 1.28/0.80 (![X2 : $i]: (~ (rel_s4 @ '#sk1' @ X2) | ~ (p @ X2))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 1.28/0.80 thf(zip_derived_cl19, plain, 1.28/0.80 ( (((((~) @ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | (((~) @ (r @ Y0)))))))))) | 1.28/0.80 (((~) @ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | (((~) @ (q @ Y0))))))))))))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 1.28/0.80 thf(zip_derived_cl21, plain, 1.28/0.80 ((~ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | (((~) @ (r @ Y0)))))))) 1.28/0.80 | ~ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | (((~) @ (q @ Y0)))))))))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 1.28/0.80 thf(zip_derived_cl23, plain, 1.28/0.80 ((~ (((((~) @ (rel_s4 @ '#sk1' @ '#sk2'))) | (((~) @ (p @ '#sk2'))) | 1.28/0.80 (((~) @ (r @ '#sk2'))))) 1.28/0.80 | ~ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | (((~) @ (q @ Y0)))))))))), 1.28/0.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 1.28/0.80 thf(zip_derived_cl25, plain, 1.28/0.80 (( (p @ '#sk2') 1.28/0.80 | ~ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | (((~) @ (q @ Y0)))))))))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])). 1.28/0.80 thf(zip_derived_cl28, plain, 1.28/0.80 ((~ (((((~) @ (rel_s4 @ '#sk1' @ '#sk3'))) | (((~) @ (p @ '#sk3'))) | 1.28/0.80 (((~) @ (q @ '#sk3'))))) 1.28/0.80 | (p @ '#sk2'))), 1.28/0.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 1.28/0.80 thf(zip_derived_cl33, plain, (( (rel_s4 @ '#sk1' @ '#sk3') | (p @ '#sk2'))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 1.28/0.80 thf(zip_derived_cl34, plain, (( (p @ '#sk3') | (p @ '#sk2'))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 1.28/0.80 thf(zip_derived_cl22, plain, 1.28/0.80 (![X2 : $i]: (~ (rel_s4 @ '#sk1' @ X2) | ~ (p @ X2))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 1.28/0.80 thf(zip_derived_cl39, plain, 1.28/0.80 (( (p @ '#sk3') | ~ (rel_s4 @ '#sk1' @ '#sk2'))), 1.28/0.80 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl22])). 1.28/0.80 thf(zip_derived_cl24, plain, 1.28/0.80 (( (rel_s4 @ '#sk1' @ '#sk2') 1.28/0.80 | ~ (((!!) @ (^[Y0 : $i]: 1.28/0.80 (((((~) @ (rel_s4 @ '#sk1' @ Y0))) | 1.28/0.80 (((~) @ (p @ Y0))) | (((~) @ (q @ Y0)))))))))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])). 1.28/0.80 thf(zip_derived_cl27, plain, 1.28/0.80 ((~ (((((~) @ (rel_s4 @ '#sk1' @ '#sk3'))) | (((~) @ (p @ '#sk3'))) | 1.28/0.80 (((~) @ (q @ '#sk3'))))) 1.28/0.80 | (rel_s4 @ '#sk1' @ '#sk2'))), 1.28/0.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl24])). 1.28/0.80 thf(zip_derived_cl31, plain, (( (p @ '#sk3') | (rel_s4 @ '#sk1' @ '#sk2'))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 1.28/0.80 thf(zip_derived_cl55, plain, ( (p @ '#sk3')), 1.28/0.80 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl31])). 1.28/0.80 thf(zip_derived_cl22, plain, 1.28/0.80 (![X2 : $i]: (~ (rel_s4 @ '#sk1' @ X2) | ~ (p @ X2))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 1.28/0.80 thf(zip_derived_cl56, plain, (~ (rel_s4 @ '#sk1' @ '#sk3')), 1.28/0.80 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl22])). 1.28/0.80 thf(zip_derived_cl60, plain, ( (p @ '#sk2')), 1.28/0.80 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl56])). 1.28/0.80 thf(zip_derived_cl65, plain, (~ (rel_s4 @ '#sk1' @ '#sk2')), 1.28/0.80 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl60])). 1.28/0.80 thf(zip_derived_cl30, plain, 1.28/0.80 (( (rel_s4 @ '#sk1' @ '#sk3') | (rel_s4 @ '#sk1' @ '#sk2'))), 1.28/0.80 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 1.28/0.80 thf(zip_derived_cl56, plain, (~ (rel_s4 @ '#sk1' @ '#sk3')), 1.28/0.80 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl22])). 1.28/0.80 thf(zip_derived_cl61, plain, ( (rel_s4 @ '#sk1' @ '#sk2')), 1.28/0.80 inference('clc', [status(thm)], [zip_derived_cl30, zip_derived_cl56])). 1.28/0.80 thf(zip_derived_cl68, plain, ($false), 1.28/0.80 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl61])). 1.28/0.80 1.28/0.80 % SZS output end Refutation 1.28/0.80 1.28/0.80 1.28/0.80 % Terminating... 1.79/0.92 % Runner terminated. 1.97/0.93 % Zipperpin 1.5 exiting 1.97/0.94 EOF