0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XUnJ6rr36a true 0.13/0.35 % Computer : n009.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 : 1200 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Jul 13 14:33:43 EDT 2021 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 120 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.35 % Number of cores: 8 0.21/0.36 % Python version: Python 3.6.8 0.21/0.36 % Running in FO mode 0.50/0.62 % Total configuration time : 435 0.50/0.62 % Estimated wc time : 845 0.50/0.62 % Estimated cpu time (7 cpus) : 120.71428571428571 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 58s 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 58s 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 58s 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 49s 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 39s 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 39s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 39s 0.54/0.75 % Solved by fo/fo3_bce.sh. 0.54/0.75 % BCE start: 12 0.54/0.75 % BCE eliminated: 0 0.54/0.75 % PE start: 12 0.54/0.75 logic: eq 0.54/0.75 % PE eliminated: -1 0.54/0.75 % done 26 iterations in 0.020s 0.54/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.54/0.75 % SZS output start Refutation 0.54/0.75 thf(sk__type, type, sk_: $i > $i > $i). 0.54/0.75 thf(f_type, type, f: $i). 0.54/0.75 thf(f_left_zero_type, type, f_left_zero: $i). 0.54/0.75 thf(sk__1_type, type, sk__1: $i > $i). 0.54/0.75 thf(phi_type, type, phi: $i > $i). 0.54/0.75 thf(multiply_type, type, multiply: $i > $i > $i > $i). 0.54/0.75 thf(group_member_type, type, group_member: $i > $i > $o). 0.54/0.75 thf(h_type, type, h: $i). 0.54/0.75 thf(left_zero_type, type, left_zero: $i > $i > $o). 0.54/0.75 thf(homomorphism1, axiom, 0.54/0.75 (![X:$i]: 0.54/0.75 ( ( group_member @ X @ f ) => ( group_member @ ( phi @ X ) @ h ) ))). 0.54/0.75 thf(zip_derived_cl8, plain, 0.54/0.75 (![X0 : $i]: 0.54/0.75 ( (group_member @ (phi @ X0) @ h) | ~ (group_member @ X0 @ f))), 0.54/0.75 inference('cnf', [status(esa)], [homomorphism1])). 0.54/0.75 thf(left_zero, axiom, 0.54/0.75 (![G:$i,X:$i]: 0.54/0.75 ( ( left_zero @ G @ X ) <=> 0.54/0.75 ( ( group_member @ X @ G ) & 0.54/0.75 ( ![Y:$i]: 0.54/0.75 ( ( group_member @ Y @ G ) => ( ( X ) = ( multiply @ G @ X @ Y ) ) ) ) ) ))). 0.54/0.75 thf(zip_derived_cl4, plain, 0.54/0.75 (![X0 : $i, X1 : $i]: 0.54/0.75 ( (left_zero @ X0 @ X1) 0.54/0.75 | (group_member @ (sk_ @ X1 @ X0) @ X0) 0.54/0.75 | ~ (group_member @ X1 @ X0))), 0.54/0.75 inference('cnf', [status(esa)], [left_zero])). 0.54/0.75 thf(prove_left_zero_h, conjecture, (left_zero @ h @ ( phi @ f_left_zero ))). 0.54/0.75 thf(zf_stmt_0, negated_conjecture, 0.54/0.75 (~( left_zero @ h @ ( phi @ f_left_zero ) )), 0.54/0.75 inference('cnf.neg', [status(esa)], [prove_left_zero_h])). 0.54/0.75 thf(zip_derived_cl6, plain, (~ (left_zero @ h @ (phi @ f_left_zero))), 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_0])). 0.54/0.75 thf(zip_derived_cl62, plain, 0.54/0.75 ((~ (group_member @ (phi @ f_left_zero) @ h) 0.54/0.75 | (group_member @ (sk_ @ (phi @ f_left_zero) @ h) @ h))), 0.54/0.75 inference('dp-resolution', [status(thm)], 0.54/0.75 [zip_derived_cl4, zip_derived_cl6])). 0.54/0.75 thf(surjective, axiom, 0.54/0.75 (![X:$i]: 0.54/0.75 ( ( group_member @ X @ h ) => 0.54/0.75 ( ?[Y:$i]: ( ( group_member @ Y @ f ) & ( ( X ) = ( phi @ Y ) ) ) ) ))). 0.54/0.75 thf(zip_derived_cl11, plain, 0.54/0.75 (![X0 : $i]: (((X0) = (phi @ (sk__1 @ X0))) | ~ (group_member @ X0 @ h))), 0.54/0.75 inference('cnf', [status(esa)], [surjective])). 0.54/0.75 thf(zip_derived_cl71, plain, 0.54/0.75 ((~ (group_member @ (phi @ f_left_zero) @ h) 0.54/0.75 | ((sk_ @ (phi @ f_left_zero) @ h) 0.54/0.75 = (phi @ (sk__1 @ (sk_ @ (phi @ f_left_zero) @ h)))))), 0.54/0.75 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl11])). 0.54/0.75 thf(left_zero_for_f, axiom, (left_zero @ f @ f_left_zero)). 0.54/0.75 thf(zip_derived_cl9, plain, ( (left_zero @ f @ f_left_zero)), 0.54/0.75 inference('cnf', [status(esa)], [left_zero_for_f])). 0.54/0.75 thf(zip_derived_cl3, plain, 0.54/0.75 (![X0 : $i, X1 : $i, X2 : $i]: 0.54/0.75 (~ (group_member @ X0 @ X1) 0.54/0.75 | ((X2) = (multiply @ X1 @ X2 @ X0)) 0.54/0.75 | ~ (left_zero @ X1 @ X2))), 0.54/0.75 inference('cnf', [status(esa)], [left_zero])). 0.54/0.75 thf(zip_derived_cl67, plain, 0.54/0.75 (![X0 : $i]: 0.54/0.75 (((f_left_zero) = (multiply @ f @ f_left_zero @ X0)) 0.54/0.75 | ~ (group_member @ X0 @ f))), 0.54/0.75 inference('dp-resolution', [status(thm)], 0.54/0.75 [zip_derived_cl9, zip_derived_cl3])). 0.54/0.75 thf(homomorphism2, axiom, 0.54/0.75 (![X:$i,Y:$i]: 0.54/0.75 ( ( ( group_member @ Y @ f ) & ( group_member @ X @ f ) ) => 0.54/0.75 ( ( phi @ ( multiply @ f @ X @ Y ) ) = 0.54/0.75 ( multiply @ h @ ( phi @ X ) @ ( phi @ Y ) ) ) ))). 0.54/0.75 thf(zip_derived_cl7, plain, 0.54/0.75 (![X0 : $i, X1 : $i]: 0.54/0.75 (~ (group_member @ X0 @ f) 0.54/0.75 | ~ (group_member @ X1 @ f) 0.54/0.75 | ((phi @ (multiply @ f @ X0 @ X1)) 0.54/0.75 = (multiply @ h @ (phi @ X0) @ (phi @ X1))))), 0.54/0.75 inference('cnf', [status(esa)], [homomorphism2])). 0.54/0.75 thf(zip_derived_cl103, plain, 0.54/0.75 (![X0 : $i]: 0.54/0.75 (((phi @ f_left_zero) 0.54/0.75 = (multiply @ h @ (phi @ f_left_zero) @ (phi @ X0))) 0.54/0.75 | ~ (group_member @ X0 @ f) 0.54/0.75 | ~ (group_member @ X0 @ f) 0.54/0.75 | ~ (group_member @ f_left_zero @ f))), 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl7])). 0.54/0.75 thf(zip_derived_cl9, plain, ( (left_zero @ f @ f_left_zero)), 0.54/0.75 inference('cnf', [status(esa)], [left_zero_for_f])). 0.54/0.75 thf(zip_derived_cl2, plain, 0.54/0.75 (![X0 : $i, X1 : $i]: 0.54/0.75 ( (group_member @ X0 @ X1) | ~ (left_zero @ X1 @ X0))), 0.54/0.75 inference('cnf', [status(esa)], [left_zero])). 0.54/0.75 thf(zip_derived_cl66, plain, ( (group_member @ f_left_zero @ f)), 0.54/0.75 inference('dp-resolution', [status(thm)], 0.54/0.75 [zip_derived_cl9, zip_derived_cl2])). 0.54/0.75 thf(zip_derived_cl105, plain, 0.54/0.75 (![X0 : $i]: 0.54/0.75 (((phi @ f_left_zero) 0.54/0.75 = (multiply @ h @ (phi @ f_left_zero) @ (phi @ X0))) 0.54/0.75 | ~ (group_member @ X0 @ f) 0.54/0.75 | ~ (group_member @ X0 @ f))), 0.54/0.75 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl66])). 0.54/0.75 thf(zip_derived_cl106, plain, 0.54/0.75 (![X0 : $i]: 0.54/0.75 (~ (group_member @ X0 @ f) 0.54/0.75 | ((phi @ f_left_zero) 0.54/0.75 = (multiply @ h @ (phi @ f_left_zero) @ (phi @ X0))))), 0.54/0.75 inference('simplify', [status(thm)], [zip_derived_cl105])). 0.54/0.75 thf(zip_derived_cl126, plain, 0.54/0.75 ((((phi @ f_left_zero) 0.54/0.75 = (multiply @ h @ (phi @ f_left_zero) @ 0.54/0.75 (sk_ @ (phi @ f_left_zero) @ h))) 0.54/0.75 | ~ (group_member @ (phi @ f_left_zero) @ h) 0.54/0.75 | ~ (group_member @ (sk__1 @ (sk_ @ (phi @ f_left_zero) @ h)) @ f))), 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl106])). 0.54/0.75 thf(zip_derived_cl5, plain, 0.54/0.75 (![X0 : $i, X1 : $i]: 0.54/0.75 ( (left_zero @ X0 @ X1) 0.54/0.75 | ((X1) != (multiply @ X0 @ X1 @ (sk_ @ X1 @ X0))) 0.54/0.75 | ~ (group_member @ X1 @ X0))), 0.54/0.75 inference('cnf', [status(esa)], [left_zero])). 0.54/0.75 thf(zip_derived_cl6, plain, (~ (left_zero @ h @ (phi @ f_left_zero))), 0.54/0.75 inference('cnf', [status(esa)], [zf_stmt_0])). 0.54/0.75 thf(zip_derived_cl65, plain, 0.54/0.75 ((~ (group_member @ (phi @ f_left_zero) @ h) 0.54/0.75 | ((phi @ f_left_zero) 0.54/0.75 != (multiply @ h @ (phi @ f_left_zero) @ 0.54/0.75 (sk_ @ (phi @ f_left_zero) @ h))))), 0.54/0.75 inference('dp-resolution', [status(thm)], 0.54/0.75 [zip_derived_cl5, zip_derived_cl6])). 0.54/0.75 thf(zip_derived_cl131, plain, 0.54/0.75 ((~ (group_member @ (sk__1 @ (sk_ @ (phi @ f_left_zero) @ h)) @ f) 0.54/0.75 | ~ (group_member @ (phi @ f_left_zero) @ h))), 0.54/0.75 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl65])). 0.54/0.75 thf(zip_derived_cl10, plain, 0.54/0.75 (![X0 : $i]: 0.54/0.75 ( (group_member @ (sk__1 @ X0) @ f) | ~ (group_member @ X0 @ h))), 0.54/0.75 inference('cnf', [status(esa)], [surjective])). 0.54/0.75 thf(zip_derived_cl132, plain, 0.54/0.75 ((~ (group_member @ (phi @ f_left_zero) @ h) 0.54/0.75 | ~ (group_member @ (sk_ @ (phi @ f_left_zero) @ h) @ h))), 0.54/0.75 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl10])). 0.54/0.75 thf(zip_derived_cl62, plain, 0.54/0.75 ((~ (group_member @ (phi @ f_left_zero) @ h) 0.54/0.75 | (group_member @ (sk_ @ (phi @ f_left_zero) @ h) @ h))), 0.54/0.75 inference('dp-resolution', [status(thm)], 0.54/0.75 [zip_derived_cl4, zip_derived_cl6])). 0.54/0.75 thf(zip_derived_cl134, plain, (~ (group_member @ (phi @ f_left_zero) @ h)), 0.54/0.75 inference('clc', [status(thm)], [zip_derived_cl132, zip_derived_cl62])). 0.54/0.75 thf(zip_derived_cl137, plain, (~ (group_member @ f_left_zero @ f)), 0.54/0.75 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl134])). 0.54/0.75 thf(zip_derived_cl66, plain, ( (group_member @ f_left_zero @ f)), 0.54/0.75 inference('dp-resolution', [status(thm)], 0.54/0.75 [zip_derived_cl9, zip_derived_cl2])). 0.54/0.75 thf(zip_derived_cl138, plain, ($false), 0.54/0.75 inference('demod', [status(thm)], [zip_derived_cl137, zip_derived_cl66])). 0.54/0.75 0.54/0.75 % SZS output end Refutation 0.54/0.75 0.54/0.75 0.54/0.75 % Terminating... 0.54/0.82 % Runner terminated. 0.54/0.83 % Zipperpin 1.5 exiting 0.54/0.83 EOF