0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s1dIdJHNq8 true 0.17/0.44 % Computer : n019.cluster.edu 0.17/0.44 % Model : x86_64 x86_64 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.44 % Memory : 8046.5625MB 0.17/0.44 % OS : Linux 6.8.0-71-generic 0.17/0.44 % CPULimit : 1440 0.17/0.44 % WCLimit : 180 0.17/0.44 % DateTime : Mon Jul 27 11:54:07 UTC 2026 0.17/0.44 % CPUTime : 0.17/0.44 % Running portfolio for 1440 s 0.17/0.44 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.45 % Number of cores: 8 0.17/0.45 % Python version: Python 3.12.3 0.17/0.45 % Running in HO mode 0.55/0.76 % Total configuration time : 828 0.55/0.76 % Estimated wc time : 1656 0.55/0.76 % Estimated cpu time (8 cpus) : 207.0 0.60/0.86 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.60/0.89 % Solved by lams/40_c.s.sh. 0.60/0.89 % done 0 iterations in 0.011s 0.60/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.60/0.89 % SZS output start Refutation 0.60/0.89 thf(cartesian_product_type, type, cartesian_product: ($i > $o) > ($i > $o) > 0.60/0.89 $i > $i > $o). 0.60/0.89 thf(sub_rel_type, type, sub_rel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.60/0.89 thf(sub_rel, axiom,(( sub_rel ) = 0.60/0.89 (^[R1:( $i > $i > $o ),R2:( $i > $i > $o )]: 0.60/0.89 ( ![X:$i,Y:$i]: ( ( R1 @ X @ Y ) => ( R2 @ X @ Y ) ) )))). 0.60/0.89 thf('0', plain, 0.60/0.89 (( sub_rel ) = 0.60/0.89 ( ^[R1:( $i > $i > $o ),R2:( $i > $i > $o )]: 0.60/0.89 ( ![X:$i,Y:$i]: ( ( R1 @ X @ Y ) => ( R2 @ X @ Y ) ) ) )), 0.60/0.89 inference('simplify_rw_rule', [status(thm)], [sub_rel])). 0.60/0.89 thf('1', plain, 0.60/0.89 (( sub_rel ) = 0.60/0.89 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $i > $o )]: 0.60/0.89 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( V_2 @ X4 @ X6 ) ) ) )), 0.60/0.89 define([status(thm)])). 0.60/0.89 thf(cartesian_product, axiom,(( cartesian_product ) = 0.60/0.89 (^[X:( $i > $o ),Y:( $i > $o ),U:$i,V:$i]: ( ( X @ U ) & ( Y @ V ) )))). 0.60/0.89 thf('2', plain, 0.60/0.89 (( cartesian_product ) = 0.60/0.89 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i,V:$i]: ( ( X @ U ) & ( Y @ V ) ) )), 0.60/0.89 inference('simplify_rw_rule', [status(thm)], [cartesian_product])). 0.60/0.89 thf('3', plain, 0.60/0.89 (( cartesian_product ) = 0.60/0.89 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i,V_4:$i]: 0.60/0.89 ( ( V_1 @ V_3 ) & ( V_2 @ V_4 ) ) )), 0.60/0.89 define([status(thm)])). 0.60/0.89 thf(thm, conjecture, 0.60/0.89 (![R:( $i > $i > $o ),Q:( $i > $i > $o )]: 0.60/0.89 ( ( sub_rel @ R @ Q ) => 0.60/0.89 ( sub_rel @ 0.60/0.89 R @ 0.60/0.89 ( cartesian_product @ ( ^[X:$i]: ( $true ) ) @ ( ^[X:$i]: ( $true ) ) ) ) ))). 0.60/0.89 thf(zf_stmt_0, conjecture, 0.60/0.89 (![X4:( $i > $i > $o ),X6:( $i > $i > $o )]: 0.60/0.89 ( ( ![X8:$i,X10:$i]: ( ( X4 @ X8 @ X10 ) => ( X6 @ X8 @ X10 ) ) ) => 0.60/0.89 ( ![X12:$i,X14:$i]: ( $true ) ) ))). 0.60/0.89 thf(zf_stmt_1, negated_conjecture, 0.60/0.89 (~( ![X4:( $i > $i > $o ),X6:( $i > $i > $o )]: 0.60/0.89 ( ( ![X8:$i,X10:$i]: ( ( X4 @ X8 @ X10 ) => ( X6 @ X8 @ X10 ) ) ) => 0.60/0.89 ( ![X12:$i,X14:$i]: ( $true ) ) ) )), 0.60/0.89 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.60/0.89 thf(zip_derived_cl1, plain, ($false), 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_1])). 0.60/0.89 0.60/0.89 % SZS output end Refutation 0.60/0.89 0.60/0.89 0.60/0.89 % Terminating... 0.60/0.93 % Runner terminated. 0.60/0.95 % Zipperpin 1.5 exiting 0.60/0.96 EOF