0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oy8ydsDik7 true 0.13/0.33 % Computer : n011.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 03:24:21 EDT 2022 0.13/0.33 % CPUTime : 0.13/0.33 % Running portfolio for 960 s 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.33 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in HO mode 0.52/0.61 % Total configuration time : 828 0.52/0.61 % Estimated wc time : 1656 0.52/0.61 % Estimated cpu time (8 cpus) : 207.0 0.53/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.53/0.74 % Solved by lams/40_c.s.sh. 0.53/0.74 % done 25 iterations in 0.020s 0.53/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.53/0.74 % SZS output start Refutation 0.53/0.74 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.53/0.74 thf(sk__8_type, type, sk__8: $i). 0.53/0.74 thf(p_type, type, p: $i > $o). 0.53/0.74 thf(sk__7_type, type, sk__7: $i). 0.53/0.74 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 0.53/0.74 thf(sk__6_type, type, sk__6: $i). 0.53/0.74 thf(mdia_s4_type, type, mdia_s4: ($i > $o) > $i > $o). 0.53/0.74 thf(mreflexive_type, type, mreflexive: ($i > $i > $o) > $o). 0.53/0.74 thf(mtransitive_type, type, mtransitive: ($i > $i > $o) > $o). 0.53/0.74 thf(rel_s4_type, type, rel_s4: $i > $i > $o). 0.53/0.74 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 0.53/0.74 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 0.53/0.74 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.53/0.74 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.53/0.74 thf(q_type, type, q: $i > $o). 0.53/0.74 thf(mdia_s4, axiom,(( mdia_s4 ) = 0.53/0.74 (^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) )))). 0.53/0.74 thf(mbox_s4, axiom,(( mbox_s4 ) = 0.53/0.74 (^[Phi:( $i > $o ),W:$i]: 0.53/0.74 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) )))). 0.53/0.74 thf('0', plain, 0.53/0.74 (( mbox_s4 ) = 0.53/0.74 ( ^[Phi:( $i > $o ),W:$i]: 0.53/0.74 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 0.53/0.74 thf('1', plain, 0.53/0.74 (( mbox_s4 ) = 0.53/0.74 ( ^[V_1:( $i > $o ),V_2:$i]: 0.53/0.74 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s4 @ V_2 @ X4 ) ) ) ) )), 0.53/0.74 define([status(thm)])). 0.53/0.74 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 0.53/0.74 thf('2', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mnot])). 0.53/0.74 thf('3', plain, 0.53/0.74 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 0.53/0.74 define([status(thm)])). 0.53/0.74 thf('4', plain, 0.53/0.74 (( mdia_s4 ) = 0.53/0.74 ( ^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mdia_s4, '1', '3'])). 0.53/0.74 thf('5', plain, 0.53/0.74 (( mdia_s4 ) = 0.53/0.74 ( ^[V_1:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ V_1 ) ) ) )), 0.53/0.74 define([status(thm)])). 0.53/0.74 thf(mvalid, axiom,(( mvalid ) = 0.53/0.74 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 0.53/0.74 thf('6', plain, 0.53/0.74 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mvalid])). 0.53/0.74 thf('7', plain, 0.53/0.74 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 0.53/0.74 define([status(thm)])). 0.53/0.74 thf(mimplies, axiom,(( mimplies ) = 0.53/0.74 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 0.53/0.74 thf(mor, axiom,(( mor ) = 0.53/0.74 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 0.53/0.74 thf('8', plain, 0.53/0.74 (( mor ) = 0.53/0.74 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mor])). 0.53/0.74 thf('9', plain, 0.53/0.74 (( mor ) = 0.53/0.74 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.53/0.74 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 0.53/0.74 define([status(thm)])). 0.53/0.74 thf('10', plain, 0.53/0.74 (( mimplies ) = 0.53/0.74 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mimplies, '9', '3'])). 0.53/0.74 thf('11', plain, 0.53/0.74 (( mimplies ) = 0.53/0.74 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 0.53/0.74 define([status(thm)])). 0.53/0.74 thf(mand, axiom,(( mand ) = 0.53/0.74 (^[Phi:( $i > $o ),Psi:( $i > $o )]: 0.53/0.74 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) )))). 0.53/0.74 thf('12', plain, 0.53/0.74 (( mand ) = 0.53/0.74 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: 0.53/0.74 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mand, '9', '3'])). 0.53/0.74 thf('13', plain, 0.53/0.74 (( mand ) = 0.53/0.74 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 0.53/0.74 ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) )), 0.53/0.74 define([status(thm)])). 0.53/0.74 thf(prove, conjecture, 0.53/0.74 (mvalid @ 0.53/0.74 ( mimplies @ 0.53/0.74 ( mbox_s4 @ ( mand @ p @ q ) ) @ 0.53/0.74 ( mbox_s4 @ 0.53/0.74 ( mbox_s4 @ ( mimplies @ ( mdia_s4 @ p ) @ ( mdia_s4 @ q ) ) ) ) ))). 0.53/0.74 thf(zf_stmt_0, conjecture, 0.53/0.74 (![X4:$i]: 0.53/0.74 ( ( ~( ![X6:$i]: 0.53/0.74 ( ( ~( ( ~( p @ X6 ) ) | ( ~( q @ X6 ) ) ) ) | 0.53/0.74 ( ~( rel_s4 @ X4 @ X6 ) ) ) ) ) | 0.53/0.74 ( ![X8:$i]: 0.53/0.74 ( ( ![X10:$i]: 0.53/0.74 ( ( ![X12:$i]: ( ( ~( p @ X12 ) ) | ( ~( rel_s4 @ X10 @ X12 ) ) ) ) | 0.53/0.74 ( ~( ![X14:$i]: 0.53/0.74 ( ( ~( q @ X14 ) ) | ( ~( rel_s4 @ X10 @ X14 ) ) ) ) ) | 0.53/0.74 ( ~( rel_s4 @ X8 @ X10 ) ) ) ) | 0.53/0.74 ( ~( rel_s4 @ X4 @ X8 ) ) ) ) ))). 0.53/0.74 thf(zf_stmt_1, negated_conjecture, 0.53/0.74 (~( ![X4:$i]: 0.53/0.74 ( ( ~( ![X6:$i]: 0.53/0.74 ( ( ~( ( ~( p @ X6 ) ) | ( ~( q @ X6 ) ) ) ) | 0.53/0.74 ( ~( rel_s4 @ X4 @ X6 ) ) ) ) ) | 0.53/0.74 ( ![X8:$i]: 0.53/0.74 ( ( ![X10:$i]: 0.53/0.74 ( ( ![X12:$i]: 0.53/0.74 ( ( ~( p @ X12 ) ) | ( ~( rel_s4 @ X10 @ X12 ) ) ) ) | 0.53/0.74 ( ~( ![X14:$i]: 0.53/0.74 ( ( ~( q @ X14 ) ) | ( ~( rel_s4 @ X10 @ X14 ) ) ) ) ) | 0.53/0.74 ( ~( rel_s4 @ X8 @ X10 ) ) ) ) | 0.53/0.74 ( ~( rel_s4 @ X4 @ X8 ) ) ) ) ) )), 0.53/0.74 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.53/0.74 thf(zip_derived_cl8, plain, 0.53/0.74 (![X1 : $i]: ( (q @ X1) | ~ (rel_s4 @ sk__6 @ X1))), 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.53/0.74 thf(mreflexive, axiom,(( mreflexive ) = 0.53/0.74 (^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) )))). 0.53/0.74 thf('14', plain, 0.53/0.74 (( mreflexive ) = ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mreflexive])). 0.53/0.74 thf('15', plain, 0.53/0.74 (( mreflexive ) = 0.53/0.74 ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 @ X4 ) ) )), 0.53/0.74 define([status(thm)])).thf(a1, axiom, (mreflexive @ rel_s4)). 0.53/0.74 thf(zf_stmt_2, axiom, (![X4:$i]: ( rel_s4 @ X4 @ X4 ))). 0.53/0.74 thf(zip_derived_cl1, plain, (![X0 : $i]: (rel_s4 @ X0 @ X0)), 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_2])). 0.53/0.74 thf(zip_derived_cl3, plain, 0.53/0.74 (![X0 : $i]: (~ (q @ X0) | ~ (rel_s4 @ sk__8 @ X0))), 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.53/0.74 thf(zip_derived_cl10, plain, (~ (q @ sk__8)), 0.53/0.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])). 0.53/0.74 thf(zip_derived_cl14, plain, (~ (rel_s4 @ sk__6 @ sk__8)), 0.53/0.74 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl10])). 0.53/0.74 thf(zip_derived_cl6, plain, ( (rel_s4 @ sk__6 @ sk__7)), 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.53/0.74 thf(mtransitive, axiom,(( mtransitive ) = 0.53/0.74 (^[R:( $i > $i > $o )]: 0.53/0.74 ( ![S:$i,T:$i,U:$i]: 0.53/0.74 ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) )))). 0.53/0.74 thf('16', plain, 0.53/0.74 (( mtransitive ) = 0.53/0.74 ( ^[R:( $i > $i > $o )]: 0.53/0.74 ( ![S:$i,T:$i,U:$i]: 0.53/0.74 ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) ) )), 0.53/0.74 inference('simplify_rw_rule', [status(thm)], [mtransitive])). 0.53/0.74 thf('17', plain, 0.53/0.74 (( mtransitive ) = 0.53/0.74 ( ^[V_1:( $i > $i > $o )]: 0.53/0.74 ( ![X4:$i,X6:$i,X8:$i]: 0.53/0.74 ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X6 @ X8 ) ) => ( V_1 @ X4 @ X8 ) ) ) )), 0.53/0.74 define([status(thm)])).thf(a2, axiom, (mtransitive @ rel_s4)). 0.53/0.74 thf(zf_stmt_3, axiom, 0.53/0.74 (![X4:$i,X6:$i,X8:$i]: 0.53/0.74 ( ( ( rel_s4 @ X4 @ X6 ) & ( rel_s4 @ X6 @ X8 ) ) => ( rel_s4 @ X4 @ X8 ) ))). 0.53/0.74 thf(zip_derived_cl0, plain, 0.53/0.74 (![X0 : $i, X1 : $i, X2 : $i]: 0.53/0.74 (~ (rel_s4 @ X0 @ X1) | ~ (rel_s4 @ X1 @ X2) | (rel_s4 @ X0 @ X2))), 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_3])). 0.53/0.74 thf(zip_derived_cl19, plain, 0.53/0.74 (![X0 : $i]: ( (rel_s4 @ sk__6 @ X0) | ~ (rel_s4 @ sk__7 @ X0))), 0.53/0.74 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])). 0.53/0.74 thf(zip_derived_cl2, plain, ( (rel_s4 @ sk__7 @ sk__8)), 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.53/0.74 thf(zip_derived_cl37, plain, ( (rel_s4 @ sk__6 @ sk__8)), 0.53/0.74 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2])). 0.53/0.74 thf(zip_derived_cl49, plain, ($false), 0.53/0.74 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl37])). 0.53/0.74 0.53/0.74 % SZS output end Refutation 0.53/0.74 0.53/0.74 0.53/0.74 % Terminating... 0.59/0.83 % Runner terminated. 0.59/0.84 % Zipperpin 1.5 exiting 0.59/0.84 EOF