0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ta1TO1gD84 true 0.11/0.33 % Computer : n009.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 03:03:20 EDT 2022 0.11/0.33 % CPUTime : 0.11/0.33 % Running portfolio for 960 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 0.18/0.61 % Total configuration time : 828 0.18/0.61 % Estimated wc time : 1656 0.18/0.61 % Estimated cpu time (8 cpus) : 207.0 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.99/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.99/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.99/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 1.36/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 1.36/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 1.36/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 1.39/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 1.39/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 1.39/0.80 % Solved by lams/40_noforms.sh. 1.39/0.80 % done 43 iterations in 0.059s 1.39/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.39/0.80 % SZS output start Refutation 1.39/0.80 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.39/0.80 thf(p_type, type, p: $i > $o). 1.39/0.80 thf(sk__12_type, type, sk__12: $i). 1.39/0.80 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 1.39/0.80 thf(mdia_s4_type, type, mdia_s4: ($i > $o) > $i > $o). 1.39/0.80 thf(mreflexive_type, type, mreflexive: ($i > $i > $o) > $o). 1.39/0.80 thf(mtransitive_type, type, mtransitive: ($i > $i > $o) > $o). 1.39/0.80 thf(sk__9_type, type, sk__9: $i). 1.39/0.80 thf(rel_s4_type, type, rel_s4: $i > $i > $o). 1.39/0.80 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 1.39/0.80 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 1.39/0.80 thf(sk__10_type, type, sk__10: $i > $i). 1.39/0.80 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.39/0.80 thf(sk__11_type, type, sk__11: $i > $i). 1.39/0.80 thf(mreflexive, axiom,(( mreflexive ) = 1.39/0.80 (^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) )))). 1.39/0.80 thf('0', plain, 1.39/0.80 (( mreflexive ) = ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mreflexive])). 1.39/0.80 thf('1', plain, 1.39/0.80 (( mreflexive ) = 1.39/0.80 ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 @ X4 ) ) )), 1.39/0.80 define([status(thm)])).thf(a1, axiom, (mreflexive @ rel_s4)). 1.39/0.80 thf(zf_stmt_0, axiom, (![X4:$i]: ( rel_s4 @ X4 @ X4 ))). 1.39/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (rel_s4 @ X0 @ X0)), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_0])). 1.39/0.80 thf(mdia_s4, axiom,(( mdia_s4 ) = 1.39/0.80 (^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) )))). 1.39/0.80 thf(mbox_s4, axiom,(( mbox_s4 ) = 1.39/0.80 (^[Phi:( $i > $o ),W:$i]: 1.39/0.80 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) )))). 1.39/0.80 thf('2', plain, 1.39/0.80 (( mbox_s4 ) = 1.39/0.80 ( ^[Phi:( $i > $o ),W:$i]: 1.39/0.80 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 1.39/0.80 thf('3', plain, 1.39/0.80 (( mbox_s4 ) = 1.39/0.80 ( ^[V_1:( $i > $o ),V_2:$i]: 1.39/0.80 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s4 @ V_2 @ X4 ) ) ) ) )), 1.39/0.80 define([status(thm)])). 1.39/0.80 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 1.39/0.80 thf('4', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mnot])). 1.39/0.80 thf('5', plain, 1.39/0.80 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 1.39/0.80 define([status(thm)])). 1.39/0.80 thf('6', plain, 1.39/0.80 (( mdia_s4 ) = 1.39/0.80 ( ^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mdia_s4, '3', '5'])). 1.39/0.80 thf('7', plain, 1.39/0.80 (( mdia_s4 ) = 1.39/0.80 ( ^[V_1:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ V_1 ) ) ) )), 1.39/0.80 define([status(thm)])). 1.39/0.80 thf(mvalid, axiom,(( mvalid ) = 1.39/0.80 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 1.39/0.80 thf('8', plain, 1.39/0.80 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mvalid])). 1.39/0.80 thf('9', plain, 1.39/0.80 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 1.39/0.80 define([status(thm)])). 1.39/0.80 thf(mimplies, axiom,(( mimplies ) = 1.39/0.80 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 1.39/0.80 thf(mor, axiom,(( mor ) = 1.39/0.80 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 1.39/0.80 thf('10', plain, 1.39/0.80 (( mor ) = 1.39/0.80 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mor])). 1.39/0.80 thf('11', plain, 1.39/0.80 (( mor ) = 1.39/0.80 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 1.39/0.80 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 1.39/0.80 define([status(thm)])). 1.39/0.80 thf('12', plain, 1.39/0.80 (( mimplies ) = 1.39/0.80 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mimplies, '11', '5'])). 1.39/0.80 thf('13', plain, 1.39/0.80 (( mimplies ) = 1.39/0.80 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 1.39/0.80 define([status(thm)])). 1.39/0.80 thf(prove, conjecture, 1.39/0.80 (mvalid @ 1.39/0.80 ( mimplies @ 1.39/0.80 ( mbox_s4 @ ( mdia_s4 @ ( mbox_s4 @ ( mdia_s4 @ p ) ) ) ) @ 1.39/0.80 ( mbox_s4 @ ( mdia_s4 @ p ) ) ))). 1.39/0.80 thf(zf_stmt_1, conjecture, 1.39/0.80 (![X4:$i]: 1.39/0.80 ( ( ~( ![X6:$i]: 1.39/0.80 ( ( ~( ![X8:$i]: 1.39/0.80 ( ( ~( ![X10:$i]: 1.39/0.80 ( ( ~( ![X12:$i]: 1.39/0.80 ( ( ~( p @ X12 ) ) | 1.39/0.80 ( ~( rel_s4 @ X10 @ X12 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X8 @ X10 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X6 @ X8 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X4 @ X6 ) ) ) ) ) | 1.39/0.80 ( ![X14:$i]: 1.39/0.80 ( ( ~( ![X16:$i]: ( ( ~( p @ X16 ) ) | ( ~( rel_s4 @ X14 @ X16 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X4 @ X14 ) ) ) ) ))). 1.39/0.80 thf(zf_stmt_2, negated_conjecture, 1.39/0.80 (~( ![X4:$i]: 1.39/0.80 ( ( ~( ![X6:$i]: 1.39/0.80 ( ( ~( ![X8:$i]: 1.39/0.80 ( ( ~( ![X10:$i]: 1.39/0.80 ( ( ~( ![X12:$i]: 1.39/0.80 ( ( ~( p @ X12 ) ) | 1.39/0.80 ( ~( rel_s4 @ X10 @ X12 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X8 @ X10 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X6 @ X8 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X4 @ X6 ) ) ) ) ) | 1.39/0.80 ( ![X14:$i]: 1.39/0.80 ( ( ~( ![X16:$i]: 1.39/0.80 ( ( ~( p @ X16 ) ) | ( ~( rel_s4 @ X14 @ X16 ) ) ) ) ) | 1.39/0.80 ( ~( rel_s4 @ X4 @ X14 ) ) ) ) ) )), 1.39/0.80 inference('cnf.neg', [status(esa)], [zf_stmt_1])). 1.39/0.80 thf(zip_derived_cl5, plain, 1.39/0.80 (![X1 : $i, X2 : $i]: 1.39/0.80 (~ (rel_s4 @ (sk__10 @ X1) @ X2) 1.39/0.80 | (p @ (sk__11 @ X2)) 1.39/0.80 | ~ (rel_s4 @ sk__9 @ X1))), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_2])). 1.39/0.80 thf(zip_derived_cl23, plain, 1.39/0.80 (![X0 : $i]: (~ (rel_s4 @ sk__9 @ X0) | (p @ (sk__11 @ (sk__10 @ X0))))), 1.39/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])). 1.39/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (rel_s4 @ X0 @ X0)), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_0])). 1.39/0.80 thf(zip_derived_cl4, plain, 1.39/0.80 (![X1 : $i, X2 : $i]: 1.39/0.80 (~ (rel_s4 @ (sk__10 @ X1) @ X2) 1.39/0.80 | (rel_s4 @ X2 @ (sk__11 @ X2)) 1.39/0.80 | ~ (rel_s4 @ sk__9 @ X1))), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_2])). 1.39/0.80 thf(zip_derived_cl25, plain, 1.39/0.80 (![X0 : $i]: 1.39/0.80 (~ (rel_s4 @ sk__9 @ X0) 1.39/0.80 | (rel_s4 @ (sk__10 @ X0) @ (sk__11 @ (sk__10 @ X0))))), 1.39/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])). 1.39/0.80 thf(zip_derived_cl6, plain, 1.39/0.80 (![X1 : $i]: ( (rel_s4 @ X1 @ (sk__10 @ X1)) | ~ (rel_s4 @ sk__9 @ X1))), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_2])). 1.39/0.80 thf(mtransitive, axiom,(( mtransitive ) = 1.39/0.80 (^[R:( $i > $i > $o )]: 1.39/0.80 ( ![S:$i,T:$i,U:$i]: 1.39/0.80 ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) )))). 1.39/0.80 thf('14', plain, 1.39/0.80 (( mtransitive ) = 1.39/0.80 ( ^[R:( $i > $i > $o )]: 1.39/0.80 ( ![S:$i,T:$i,U:$i]: 1.39/0.80 ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) ) )), 1.39/0.80 inference('simplify_rw_rule', [status(thm)], [mtransitive])). 1.39/0.80 thf('15', plain, 1.39/0.80 (( mtransitive ) = 1.39/0.80 ( ^[V_1:( $i > $i > $o )]: 1.39/0.80 ( ![X4:$i,X6:$i,X8:$i]: 1.39/0.80 ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X6 @ X8 ) ) => ( V_1 @ X4 @ X8 ) ) ) )), 1.39/0.80 define([status(thm)])).thf(a2, axiom, (mtransitive @ rel_s4)). 1.39/0.80 thf(zf_stmt_3, axiom, 1.39/0.80 (![X4:$i,X6:$i,X8:$i]: 1.39/0.80 ( ( ( rel_s4 @ X4 @ X6 ) & ( rel_s4 @ X6 @ X8 ) ) => ( rel_s4 @ X4 @ X8 ) ))). 1.39/0.80 thf(zip_derived_cl0, plain, 1.39/0.80 (![X0 : $i, X1 : $i, X2 : $i]: 1.39/0.80 (~ (rel_s4 @ X0 @ X1) | ~ (rel_s4 @ X1 @ X2) | (rel_s4 @ X0 @ X2))), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_3])). 1.39/0.80 thf(zip_derived_cl31, plain, 1.39/0.80 (![X0 : $i, X1 : $i]: 1.39/0.80 (~ (rel_s4 @ sk__9 @ X0) 1.39/0.80 | (rel_s4 @ X0 @ X1) 1.39/0.80 | ~ (rel_s4 @ (sk__10 @ X0) @ X1))), 1.39/0.80 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])). 1.39/0.80 thf(zip_derived_cl80, plain, 1.39/0.80 (![X0 : $i]: 1.39/0.80 (~ (rel_s4 @ sk__9 @ X0) 1.39/0.80 | (rel_s4 @ X0 @ (sk__11 @ (sk__10 @ X0))) 1.39/0.80 | ~ (rel_s4 @ sk__9 @ X0))), 1.39/0.80 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl31])). 1.39/0.80 thf(zip_derived_cl89, plain, 1.39/0.80 (![X0 : $i]: 1.39/0.80 ( (rel_s4 @ X0 @ (sk__11 @ (sk__10 @ X0))) | ~ (rel_s4 @ sk__9 @ X0))), 1.39/0.80 inference('simplify', [status(thm)], [zip_derived_cl80])). 1.39/0.80 thf(zip_derived_cl2, plain, 1.39/0.80 (![X0 : $i]: (~ (p @ X0) | ~ (rel_s4 @ sk__12 @ X0))), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_2])). 1.39/0.80 thf(zip_derived_cl124, plain, 1.39/0.80 ((~ (rel_s4 @ sk__9 @ sk__12) | ~ (p @ (sk__11 @ (sk__10 @ sk__12))))), 1.39/0.80 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl2])). 1.39/0.80 thf(zip_derived_cl3, plain, ( (rel_s4 @ sk__9 @ sk__12)), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_2])). 1.39/0.80 thf(zip_derived_cl155, plain, (~ (p @ (sk__11 @ (sk__10 @ sk__12)))), 1.39/0.80 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl3])). 1.39/0.80 thf(zip_derived_cl165, plain, (~ (rel_s4 @ sk__9 @ sk__12)), 1.39/0.80 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl155])). 1.39/0.80 thf(zip_derived_cl3, plain, ( (rel_s4 @ sk__9 @ sk__12)), 1.39/0.80 inference('cnf', [status(esa)], [zf_stmt_2])). 1.39/0.80 thf(zip_derived_cl167, plain, ($false), 1.39/0.80 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl3])). 1.39/0.80 1.39/0.80 % SZS output end Refutation 1.39/0.80 1.39/0.80 1.39/0.80 % Terminating... 2.00/0.91 % Runner terminated. 2.00/0.93 % Zipperpin 1.5 exiting 2.00/0.93 EOF