0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mH9LTheXrV true 0.18/0.44 % Computer : n022.cluster.edu 0.18/0.44 % Model : x86_64 x86_64 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.44 % Memory : 8046.5625MB 0.18/0.44 % OS : Linux 6.8.0-71-generic 0.18/0.44 % CPULimit : 1440 0.18/0.44 % WCLimit : 180 0.18/0.44 % DateTime : Mon Jul 27 09:41:28 UTC 2026 0.18/0.44 % CPUTime : 0.18/0.44 % Running portfolio for 1440 s 0.18/0.44 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.18/0.44 % Number of cores: 8 0.18/0.45 % Python version: Python 3.12.3 0.18/0.45 % Running in FO mode 0.42/0.87 % Total configuration time : 435 0.42/0.87 % Estimated wc time : 1092 0.42/0.87 % Estimated cpu time (7 cpus) : 156.0 0.43/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s 0.43/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s 0.43/1.07 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s 0.43/1.08 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s 0.43/1.08 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s 2.06/1.09 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s 2.06/1.10 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s 91.05/16.01 % Solved by fo/fo6_bce.sh. 91.05/16.01 % BCE start: 68 91.05/16.01 % BCE eliminated: 0 91.05/16.01 % PE start: 68 91.05/16.01 logic: neq 91.05/16.01 % PE eliminated: 25 91.05/16.01 % done 3346 iterations in 14.963s 91.05/16.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 91.05/16.01 % SZS output start Refutation 91.05/16.01 thf(r2_type, type, r2: $i > $i > $o). 91.05/16.01 thf(sk__8_type, type, sk__8: $i > $i). 91.05/16.01 thf(sk__7_type, type, sk__7: $i > $i). 91.05/16.01 thf(sk__12_type, type, sk__12: $i > $i > $i). 91.05/16.01 thf(r1_type, type, r1: $i > $o). 91.05/16.01 thf(sk__13_type, type, sk__13: $i > $i > $i). 91.05/16.01 thf(id_type, type, id: $i > $i > $o). 91.05/16.01 thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $i > $o). 91.05/16.01 thf(zip_tseitin_13_type, type, zip_tseitin_13: $i > $i > $o). 91.05/16.01 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $i > $i > $o). 91.05/16.01 thf(sk__9_type, type, sk__9: $i). 91.05/16.01 thf(zip_tseitin_11_type, type, zip_tseitin_11: $i > $i > $i > $i > $i > $i > $o). 91.05/16.01 thf(r3_type, type, r3: $i > $i > $i > $o). 91.05/16.01 thf(sk__11_type, type, sk__11: $i > $i > $i). 91.05/16.01 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o). 91.05/16.01 thf(sk__10_type, type, sk__10: $i > $i > $i). 91.05/16.01 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o). 91.05/16.01 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $i > $i > $i > $i > $i > $o). 91.05/16.01 thf(sk__6_type, type, sk__6: $i > $i > $i). 91.05/16.01 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $i > $i > $o). 91.05/16.01 thf(axiom_1a, axiom, 91.05/16.01 (![X1:$i,X8:$i]: 91.05/16.01 ( ?[Y4:$i]: 91.05/16.01 ( ( ?[Y7:$i]: ( ( r2 @ Y7 @ Y4 ) & ( r3 @ X1 @ X8 @ Y7 ) ) ) & 91.05/16.01 ( ?[Y5:$i]: 91.05/16.01 ( ( id @ Y5 @ Y4 ) & 91.05/16.01 ( ?[Y15:$i]: ( ( r2 @ X8 @ Y15 ) & ( r3 @ X1 @ Y15 @ Y5 ) ) ) ) ) ) ))). 91.05/16.01 thf(zip_derived_cl51, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__11 @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_1a])). 91.05/16.01 thf(axiom_4a, axiom, 91.05/16.01 (![X4:$i]: 91.05/16.01 ( ?[Y9:$i]: 91.05/16.01 ( ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) & 91.05/16.01 ( id @ Y9 @ X4 ) ) ))). 91.05/16.01 thf(zip_derived_cl34, plain, (![X0 : $i]: (id @ (sk__7 @ X0) @ X0)), 91.05/16.01 inference('cnf', [status(esa)], [axiom_4a])). 91.05/16.01 thf(axiom_6, axiom, 91.05/16.01 (![X21:$i,X22:$i]: ( ( ~( id @ X21 @ X22 ) ) | ( id @ X22 @ X21 ) ))). 91.05/16.01 thf(zip_derived_cl61, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (~ (id @ X0 @ X1) | (id @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_6])). 91.05/16.01 thf(zip_derived_cl147, plain, (![X0 : $i]: (id @ X0 @ (sk__7 @ X0))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl61])). 91.05/16.01 thf(axiom_1, axiom, 91.05/16.01 (?[Y24:$i]: 91.05/16.01 ( ![X19:$i]: 91.05/16.01 ( ( ( ~( r1 @ X19 ) ) & ( ~( id @ X19 @ Y24 ) ) ) | 91.05/16.01 ( ( id @ X19 @ Y24 ) & ( r1 @ X19 ) ) ) ))). 91.05/16.01 thf(zf_stmt_0, type, zip_tseitin_13 : $i > $i > $o). 91.05/16.01 thf(zf_stmt_1, axiom, 91.05/16.01 (![X19:$i,Y24:$i]: 91.05/16.01 ( ( zip_tseitin_13 @ X19 @ Y24 ) => ( ( r1 @ X19 ) & ( id @ X19 @ Y24 ) ) ))). 91.05/16.01 thf(zf_stmt_2, type, zip_tseitin_12 : $i > $i > $o). 91.05/16.01 thf(zf_stmt_3, axiom, 91.05/16.01 (![X19:$i,Y24:$i]: 91.05/16.01 ( ( zip_tseitin_12 @ X19 @ Y24 ) => 91.05/16.01 ( ( ~( id @ X19 @ Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))). 91.05/16.01 thf(zf_stmt_4, axiom, 91.05/16.01 (?[Y24:$i]: 91.05/16.01 ( ![X19:$i]: 91.05/16.01 ( ( zip_tseitin_13 @ X19 @ Y24 ) | ( zip_tseitin_12 @ X19 @ Y24 ) ) ))). 91.05/16.01 thf(zip_derived_cl46, plain, 91.05/16.01 (![X0 : $i]: 91.05/16.01 ( (zip_tseitin_13 @ X0 @ sk__9) | (zip_tseitin_12 @ X0 @ sk__9))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_4])). 91.05/16.01 thf(zip_derived_cl43, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_12 @ X0 @ X1))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_3])). 91.05/16.01 thf(zip_derived_cl69, plain, 91.05/16.01 (![X0 : $i]: ( (zip_tseitin_13 @ X0 @ sk__9) | ~ (r1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl46, zip_derived_cl43])). 91.05/16.01 thf(zip_derived_cl45, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (zip_tseitin_13 @ X0 @ X1))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_1])). 91.05/16.01 thf(zip_derived_cl89, plain, 91.05/16.01 (![X0 : $i]: (~ (r1 @ X0) | (id @ X0 @ sk__9))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl69, zip_derived_cl45])). 91.05/16.01 thf(zip_derived_cl36, plain, (![X0 : $i]: (r1 @ (sk__8 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_4a])). 91.05/16.01 thf(zip_derived_cl136, plain, (![X0 : $i]: (id @ (sk__8 @ X0) @ sk__9)), 91.05/16.01 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl36])). 91.05/16.01 thf(zip_derived_cl61, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (~ (id @ X0 @ X1) | (id @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_6])). 91.05/16.01 thf(zip_derived_cl166, plain, (![X0 : $i]: (id @ sk__9 @ (sk__8 @ X0))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl61])). 91.05/16.01 thf(axiom_7, axiom, 91.05/16.01 (![X23:$i,X24:$i,X25:$i]: 91.05/16.01 ( ( ~( id @ X24 @ X25 ) ) | ( id @ X23 @ X25 ) | ( ~( id @ X23 @ X24 ) ) ))). 91.05/16.01 thf(zip_derived_cl5, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_7])). 91.05/16.01 thf(zip_derived_cl318, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (id @ sk__9 @ X1) | ~ (id @ (sk__8 @ X0) @ X1))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl5])). 91.05/16.01 thf(zip_derived_cl662, plain, 91.05/16.01 (![X0 : $i]: (id @ sk__9 @ (sk__7 @ (sk__8 @ X0)))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl318])). 91.05/16.01 thf(zip_derived_cl61, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (~ (id @ X0 @ X1) | (id @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_6])). 91.05/16.01 thf(zip_derived_cl710, plain, 91.05/16.01 (![X0 : $i]: (id @ (sk__7 @ (sk__8 @ X0)) @ sk__9)), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl662, zip_derived_cl61])). 91.05/16.01 thf(zip_derived_cl34, plain, (![X0 : $i]: (id @ (sk__7 @ X0) @ X0)), 91.05/16.01 inference('cnf', [status(esa)], [axiom_4a])). 91.05/16.01 thf(zip_derived_cl5, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_7])). 91.05/16.01 thf(zip_derived_cl146, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (id @ (sk__7 @ X0) @ X1) | ~ (id @ X0 @ X1))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl5])). 91.05/16.01 thf(axiom_8, axiom, 91.05/16.01 (![X26:$i,X27:$i]: 91.05/16.01 ( ( ~( id @ X26 @ X27 ) ) | ( ( r1 @ X27 ) & ( r1 @ X26 ) ) | 91.05/16.01 ( ( ~( r1 @ X26 ) ) & ( ~( r1 @ X27 ) ) ) ))). 91.05/16.01 thf(zf_stmt_5, type, zip_tseitin_5 : $i > $i > $o). 91.05/16.01 thf(zf_stmt_6, axiom, 91.05/16.01 (![X27:$i,X26:$i]: 91.05/16.01 ( ( zip_tseitin_5 @ X27 @ X26 ) => 91.05/16.01 ( ( ~( r1 @ X27 ) ) & ( ~( r1 @ X26 ) ) ) ))). 91.05/16.01 thf(zf_stmt_7, type, zip_tseitin_4 : $i > $i > $o). 91.05/16.01 thf(zf_stmt_8, axiom, 91.05/16.01 (![X27:$i,X26:$i]: 91.05/16.01 ( ( zip_tseitin_4 @ X27 @ X26 ) => ( ( r1 @ X26 ) & ( r1 @ X27 ) ) ))). 91.05/16.01 thf(zf_stmt_9, axiom, 91.05/16.01 (![X26:$i,X27:$i]: 91.05/16.01 ( ( zip_tseitin_5 @ X27 @ X26 ) | ( zip_tseitin_4 @ X27 @ X26 ) | 91.05/16.01 ( ~( id @ X26 @ X27 ) ) ))). 91.05/16.01 thf(zip_derived_cl20, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: 91.05/16.01 ( (zip_tseitin_5 @ X0 @ X1) 91.05/16.01 | (zip_tseitin_4 @ X0 @ X1) 91.05/16.01 | ~ (id @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_9])). 91.05/16.01 thf(zip_derived_cl16, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_4 @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_8])). 91.05/16.01 thf(zip_derived_cl78, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: 91.05/16.01 (~ (id @ X0 @ X1) | (zip_tseitin_5 @ X1 @ X0) | (r1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl20, zip_derived_cl16])). 91.05/16.01 thf(zip_derived_cl18, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_5 @ X0 @ X1))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_6])). 91.05/16.01 thf(zip_derived_cl106, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (r1 @ X1) | ~ (id @ X1 @ X0) | ~ (r1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl78, zip_derived_cl18])). 91.05/16.01 thf(zip_derived_cl765, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: 91.05/16.01 (~ (id @ X1 @ X0) | (r1 @ (sk__7 @ X1)) | ~ (r1 @ X0))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl106])). 91.05/16.01 thf(zip_derived_cl947, plain, 91.05/16.01 (![X0 : $i]: ( (r1 @ (sk__7 @ (sk__7 @ (sk__8 @ X0)))) | ~ (r1 @ sk__9))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl710, zip_derived_cl765])). 91.05/16.01 thf(zip_derived_cl136, plain, (![X0 : $i]: (id @ (sk__8 @ X0) @ sk__9)), 91.05/16.01 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl36])). 91.05/16.01 thf(zip_derived_cl20, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: 91.05/16.01 ( (zip_tseitin_5 @ X0 @ X1) 91.05/16.01 | (zip_tseitin_4 @ X0 @ X1) 91.05/16.01 | ~ (id @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_9])). 91.05/16.01 thf(zip_derived_cl17, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_8])). 91.05/16.01 thf(zip_derived_cl79, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: 91.05/16.01 (~ (id @ X1 @ X0) | (zip_tseitin_5 @ X0 @ X1) | (r1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl20, zip_derived_cl17])). 91.05/16.01 thf(zip_derived_cl19, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_5 @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_6])). 91.05/16.01 thf(zip_derived_cl109, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (r1 @ X1) | ~ (id @ X0 @ X1) | ~ (r1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl79, zip_derived_cl19])). 91.05/16.01 thf(zip_derived_cl167, plain, 91.05/16.01 (![X0 : $i]: ( (r1 @ sk__9) | ~ (r1 @ (sk__8 @ X0)))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl109])). 91.05/16.01 thf(zip_derived_cl36, plain, (![X0 : $i]: (r1 @ (sk__8 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_4a])). 91.05/16.01 thf(zip_derived_cl172, plain, ( (r1 @ sk__9)), 91.05/16.01 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl36])). 91.05/16.01 thf(zip_derived_cl963, plain, 91.05/16.01 (![X0 : $i]: (r1 @ (sk__7 @ (sk__7 @ (sk__8 @ X0))))), 91.05/16.01 inference('demod', [status(thm)], [zip_derived_cl947, zip_derived_cl172])). 91.05/16.01 thf(zip_derived_cl89, plain, 91.05/16.01 (![X0 : $i]: (~ (r1 @ X0) | (id @ X0 @ sk__9))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl69, zip_derived_cl45])). 91.05/16.01 thf(zip_derived_cl1750, plain, 91.05/16.01 (![X0 : $i]: (id @ (sk__7 @ (sk__7 @ (sk__8 @ X0))) @ sk__9)), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl963, zip_derived_cl89])). 91.05/16.01 thf(zip_derived_cl146, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (id @ (sk__7 @ X0) @ X1) | ~ (id @ X0 @ X1))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl5])). 91.05/16.01 thf(zip_derived_cl136, plain, (![X0 : $i]: (id @ (sk__8 @ X0) @ sk__9)), 91.05/16.01 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl36])). 91.05/16.01 thf(zip_derived_cl35, plain, 91.05/16.01 (![X0 : $i]: (r3 @ X0 @ (sk__8 @ X0) @ (sk__7 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_4a])). 91.05/16.01 thf(axiom_10, axiom, 91.05/16.01 (![X32:$i,X33:$i,X34:$i,X35:$i,X36:$i,X37:$i]: 91.05/16.01 ( ( ~( id @ X33 @ X36 ) ) | ( ~( id @ X34 @ X37 ) ) | 91.05/16.01 ( ( r3 @ X32 @ X33 @ X34 ) & ( r3 @ X35 @ X36 @ X37 ) ) | 91.05/16.01 ( ( ~( r3 @ X32 @ X33 @ X34 ) ) & ( ~( r3 @ X35 @ X36 @ X37 ) ) ) | 91.05/16.01 ( ~( id @ X32 @ X35 ) ) ))). 91.05/16.01 thf(zf_stmt_10, type, zip_tseitin_11 : $i > $i > $i > $i > $i > $i > $o). 91.05/16.01 thf(zf_stmt_11, axiom, 91.05/16.01 (![X37:$i,X36:$i,X35:$i,X34:$i,X33:$i,X32:$i]: 91.05/16.01 ( ( zip_tseitin_11 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 ) => 91.05/16.01 ( ( ~( r3 @ X35 @ X36 @ X37 ) ) & ( ~( r3 @ X32 @ X33 @ X34 ) ) ) ))). 91.05/16.01 thf(zf_stmt_12, type, zip_tseitin_10 : $i > $i > $i > $i > $i > $i > $o). 91.05/16.01 thf(zf_stmt_13, axiom, 91.05/16.01 (![X37:$i,X36:$i,X35:$i,X34:$i,X33:$i,X32:$i]: 91.05/16.01 ( ( zip_tseitin_10 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 ) => 91.05/16.01 ( ( r3 @ X35 @ X36 @ X37 ) & ( r3 @ X32 @ X33 @ X34 ) ) ))). 91.05/16.01 thf(zf_stmt_14, axiom, 91.05/16.01 (![X32:$i,X33:$i,X34:$i,X35:$i,X36:$i,X37:$i]: 91.05/16.01 ( ( ~( id @ X32 @ X35 ) ) | 91.05/16.01 ( zip_tseitin_11 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 ) | 91.05/16.01 ( zip_tseitin_10 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 ) | 91.05/16.01 ( ~( id @ X34 @ X37 ) ) | ( ~( id @ X33 @ X36 ) ) ))). 91.05/16.01 thf(zip_derived_cl41, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 91.05/16.01 (~ (id @ X0 @ X1) 91.05/16.01 | ~ (id @ X2 @ X3) 91.05/16.01 | ~ (id @ X4 @ X5) 91.05/16.01 | (zip_tseitin_10 @ X5 @ X3 @ X1 @ X4 @ X2 @ X0) 91.05/16.01 | (zip_tseitin_11 @ X5 @ X3 @ X1 @ X4 @ X2 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_14])). 91.05/16.01 thf(zip_derived_cl37, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 91.05/16.01 ( (r3 @ X0 @ X1 @ X2) 91.05/16.01 | ~ (zip_tseitin_10 @ X2 @ X1 @ X0 @ X3 @ X4 @ X5))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_13])). 91.05/16.01 thf(zip_derived_cl82, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 91.05/16.01 ( (zip_tseitin_11 @ X0 @ X1 @ X2 @ X5 @ X4 @ X3) 91.05/16.01 | ~ (id @ X5 @ X0) 91.05/16.01 | ~ (id @ X4 @ X1) 91.05/16.01 | ~ (id @ X3 @ X2) 91.05/16.01 | (r3 @ X2 @ X1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl41, zip_derived_cl37])). 91.05/16.01 thf(zip_derived_cl40, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 91.05/16.01 (~ (r3 @ X0 @ X1 @ X2) 91.05/16.01 | ~ (zip_tseitin_11 @ X3 @ X4 @ X5 @ X2 @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_11])). 91.05/16.01 thf(zip_derived_cl115, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 91.05/16.01 ( (r3 @ X5 @ X4 @ X3) 91.05/16.01 | ~ (id @ X2 @ X5) 91.05/16.01 | ~ (id @ X1 @ X4) 91.05/16.01 | ~ (id @ X0 @ X3) 91.05/16.01 | ~ (r3 @ X2 @ X1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl82, zip_derived_cl40])). 91.05/16.01 thf(zip_derived_cl255, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 91.05/16.01 ( (r3 @ X3 @ X2 @ X1) 91.05/16.01 | ~ (id @ X0 @ X3) 91.05/16.01 | ~ (id @ (sk__8 @ X0) @ X2) 91.05/16.01 | ~ (id @ (sk__7 @ X0) @ X1))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl115])). 91.05/16.01 thf(zip_derived_cl693, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 ( (r3 @ X2 @ sk__9 @ X1) 91.05/16.01 | ~ (id @ X0 @ X2) 91.05/16.01 | ~ (id @ (sk__7 @ X0) @ X1))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl255])). 91.05/16.01 thf(zip_derived_cl16094, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 (~ (id @ X1 @ X0) | (r3 @ X2 @ sk__9 @ X0) | ~ (id @ X1 @ X2))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl693])). 91.05/16.01 thf(zip_derived_cl16301, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (~ (id @ X1 @ X0) | (r3 @ X0 @ sk__9 @ X0))), 91.05/16.01 inference('eq_fact', [status(thm)], [zip_derived_cl16094])). 91.05/16.01 thf(zip_derived_cl16326, plain, ( (r3 @ sk__9 @ sk__9 @ sk__9)), 91.05/16.01 inference('s_sup-', [status(thm)], 91.05/16.01 [zip_derived_cl1750, zip_derived_cl16301])). 91.05/16.01 thf(axiom_3, axiom, 91.05/16.01 (![X13:$i,X14:$i]: 91.05/16.01 ( ?[Y22:$i]: 91.05/16.01 ( ![X15:$i]: 91.05/16.01 ( ( ( r3 @ X13 @ X14 @ X15 ) & ( id @ X15 @ Y22 ) ) | 91.05/16.01 ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ~( id @ X15 @ Y22 ) ) ) ) ) ))). 91.05/16.01 thf(zf_stmt_15, type, zip_tseitin_9 : $i > $i > $i > $i > $o). 91.05/16.01 thf(zf_stmt_16, axiom, 91.05/16.01 (![X15:$i,Y22:$i,X14:$i,X13:$i]: 91.05/16.01 ( ( zip_tseitin_9 @ X15 @ Y22 @ X14 @ X13 ) => 91.05/16.01 ( ( ~( id @ X15 @ Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))). 91.05/16.01 thf(zf_stmt_17, type, zip_tseitin_8 : $i > $i > $i > $i > $o). 91.05/16.01 thf(zf_stmt_18, axiom, 91.05/16.01 (![X15:$i,Y22:$i,X14:$i,X13:$i]: 91.05/16.01 ( ( zip_tseitin_8 @ X15 @ Y22 @ X14 @ X13 ) => 91.05/16.01 ( ( id @ X15 @ Y22 ) & ( r3 @ X13 @ X14 @ X15 ) ) ))). 91.05/16.01 thf(zf_stmt_19, axiom, 91.05/16.01 (![X13:$i,X14:$i]: 91.05/16.01 ( ?[Y22:$i]: 91.05/16.01 ( ![X15:$i]: 91.05/16.01 ( ( zip_tseitin_9 @ X15 @ Y22 @ X14 @ X13 ) | 91.05/16.01 ( zip_tseitin_8 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))). 91.05/16.01 thf(zip_derived_cl32, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 ( (zip_tseitin_9 @ X0 @ (sk__6 @ X1 @ X2) @ X1 @ X2) 91.05/16.01 | (zip_tseitin_8 @ X0 @ (sk__6 @ X1 @ X2) @ X1 @ X2))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_19])). 91.05/16.01 thf(zip_derived_cl28, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 91.05/16.01 ( (id @ X0 @ X1) | ~ (zip_tseitin_8 @ X0 @ X1 @ X2 @ X3))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_18])). 91.05/16.01 thf(zip_derived_cl76, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 ( (zip_tseitin_9 @ X2 @ (sk__6 @ X1 @ X0) @ X1 @ X0) 91.05/16.01 | (id @ X2 @ (sk__6 @ X1 @ X0)))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl32, zip_derived_cl28])). 91.05/16.01 thf(zip_derived_cl31, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 91.05/16.01 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_9 @ X2 @ X3 @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_16])). 91.05/16.01 thf(zip_derived_cl103, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 ( (id @ X0 @ (sk__6 @ X1 @ X2)) | ~ (r3 @ X2 @ X1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl76, zip_derived_cl31])). 91.05/16.01 thf(zip_derived_cl109, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (r1 @ X1) | ~ (id @ X0 @ X1) | ~ (r1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl79, zip_derived_cl19])). 91.05/16.01 thf(zip_derived_cl493, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 (~ (r3 @ X0 @ X1 @ X2) | (r1 @ (sk__6 @ X1 @ X0)) | ~ (r1 @ X2))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl109])). 91.05/16.01 thf(zip_derived_cl16431, plain, 91.05/16.01 (( (r1 @ (sk__6 @ sk__9 @ sk__9)) | ~ (r1 @ sk__9))), 91.05/16.01 inference('s_sup-', [status(thm)], 91.05/16.01 [zip_derived_cl16326, zip_derived_cl493])). 91.05/16.01 thf(zip_derived_cl172, plain, ( (r1 @ sk__9)), 91.05/16.01 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl36])). 91.05/16.01 thf(zip_derived_cl16462, plain, ( (r1 @ (sk__6 @ sk__9 @ sk__9))), 91.05/16.01 inference('demod', [status(thm)], 91.05/16.01 [zip_derived_cl16431, zip_derived_cl172])). 91.05/16.01 thf(zip_derived_cl103, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 ( (id @ X0 @ (sk__6 @ X1 @ X2)) | ~ (r3 @ X2 @ X1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl76, zip_derived_cl31])). 91.05/16.01 thf(zip_derived_cl106, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: ( (r1 @ X1) | ~ (id @ X1 @ X0) | ~ (r1 @ X0))), 91.05/16.01 inference('dp-resolution', [status(thm)], 91.05/16.01 [zip_derived_cl78, zip_derived_cl18])). 91.05/16.01 thf(zip_derived_cl496, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 (~ (r3 @ X0 @ X1 @ X2) | (r1 @ X2) | ~ (r1 @ (sk__6 @ X1 @ X0)))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl106])). 91.05/16.01 thf(zip_derived_cl16624, plain, 91.05/16.01 (![X0 : $i]: (~ (r3 @ sk__9 @ sk__9 @ X0) | (r1 @ X0))), 91.05/16.01 inference('s_sup-', [status(thm)], 91.05/16.01 [zip_derived_cl16462, zip_derived_cl496])). 91.05/16.01 thf(zip_derived_cl16632, plain, ( (r1 @ (sk__11 @ sk__9 @ sk__9))), 91.05/16.01 inference('s_sup-', [status(thm)], 91.05/16.01 [zip_derived_cl51, zip_derived_cl16624])). 91.05/16.01 thf(zip_derived_cl50, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (r2 @ (sk__11 @ X0 @ X1) @ (sk__10 @ X0 @ X1))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_1a])). 91.05/16.01 thf(zip_derived_cl47, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (id @ (sk__12 @ X0 @ X1) @ (sk__10 @ X0 @ X1))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_1a])). 91.05/16.01 thf(zip_derived_cl49, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__13 @ X0 @ X1))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_1a])). 91.05/16.01 thf(zip_derived_cl48, plain, 91.05/16.01 (![X0 : $i, X1 : $i]: 91.05/16.01 (r3 @ X0 @ (sk__13 @ X1 @ X0) @ (sk__12 @ X1 @ X0))), 91.05/16.01 inference('cnf', [status(esa)], [axiom_1a])). 91.05/16.01 thf(zeroplusoneidone, conjecture, 91.05/16.01 (?[Y1:$i]: 91.05/16.01 ( ( ?[Y2:$i]: 91.05/16.01 ( ( ?[Y5:$i]: ( ( r1 @ Y5 ) & ( r2 @ Y5 @ Y2 ) ) ) & 91.05/16.01 ( ?[Y4:$i]: ( ( r1 @ Y4 ) & ( r3 @ Y4 @ Y2 @ Y1 ) ) ) ) ) & 91.05/16.01 ( ?[Y3:$i]: 91.05/16.01 ( ( id @ Y1 @ Y3 ) & ( ?[Y6:$i]: ( ( r1 @ Y6 ) & ( r2 @ Y6 @ Y3 ) ) ) ) ) ))). 91.05/16.01 thf(zf_stmt_20, negated_conjecture, 91.05/16.01 (~( ?[Y1:$i]: 91.05/16.01 ( ( ?[Y2:$i]: 91.05/16.01 ( ( ?[Y5:$i]: ( ( r1 @ Y5 ) & ( r2 @ Y5 @ Y2 ) ) ) & 91.05/16.01 ( ?[Y4:$i]: ( ( r1 @ Y4 ) & ( r3 @ Y4 @ Y2 @ Y1 ) ) ) ) ) & 91.05/16.01 ( ?[Y3:$i]: 91.05/16.01 ( ( id @ Y1 @ Y3 ) & 91.05/16.01 ( ?[Y6:$i]: ( ( r1 @ Y6 ) & ( r2 @ Y6 @ Y3 ) ) ) ) ) ) )), 91.05/16.01 inference('cnf.neg', [status(esa)], [zeroplusoneidone])). 91.05/16.01 thf(zip_derived_cl67, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 91.05/16.01 (~ (r1 @ X0) 91.05/16.01 | ~ (r3 @ X0 @ X1 @ X2) 91.05/16.01 | ~ (r1 @ X3) 91.05/16.01 | ~ (r2 @ X3 @ X1) 91.05/16.01 | ~ (r1 @ X4) 91.05/16.01 | ~ (r2 @ X4 @ X5) 91.05/16.01 | ~ (id @ X2 @ X5))), 91.05/16.01 inference('cnf', [status(esa)], [zf_stmt_20])). 91.05/16.01 thf(zip_derived_cl298, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 91.05/16.01 (~ (r1 @ X0) 91.05/16.01 | ~ (r1 @ X2) 91.05/16.01 | ~ (r2 @ X2 @ (sk__13 @ X1 @ X0)) 91.05/16.01 | ~ (r1 @ X3) 91.05/16.01 | ~ (r2 @ X3 @ X4) 91.05/16.01 | ~ (id @ (sk__12 @ X1 @ X0) @ X4))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl67])). 91.05/16.01 thf(zip_derived_cl553, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 91.05/16.01 (~ (r1 @ X0) 91.05/16.01 | ~ (r1 @ X1) 91.05/16.01 | ~ (r1 @ X2) 91.05/16.01 | ~ (r2 @ X2 @ X3) 91.05/16.01 | ~ (id @ (sk__12 @ X1 @ X0) @ X3))), 91.05/16.01 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl298])). 91.05/16.01 thf(zip_derived_cl569, plain, 91.05/16.01 (![X0 : $i, X1 : $i, X2 : $i]: 91.05/16.01 (~ (r1 @ X0) 91.05/16.01 | ~ (r1 @ X1) 91.05/16.01 | ~ (r1 @ X2) 91.05/16.01 | ~ (r2 @ X2 @ (sk__10 @ X1 @ X0)))), 91.05/16.02 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl553])). 91.05/16.02 thf(zip_derived_cl667, plain, 91.05/16.02 (![X0 : $i, X1 : $i]: 91.05/16.02 (~ (r1 @ X0) | ~ (r1 @ X1) | ~ (r1 @ (sk__11 @ X1 @ X0)))), 91.05/16.02 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl569])). 91.05/16.02 thf(zip_derived_cl16639, plain, ((~ (r1 @ sk__9) | ~ (r1 @ sk__9))), 91.05/16.02 inference('s_sup-', [status(thm)], 91.05/16.02 [zip_derived_cl16632, zip_derived_cl667])). 91.05/16.02 thf(zip_derived_cl172, plain, ( (r1 @ sk__9)), 91.05/16.02 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl36])). 91.05/16.02 thf(zip_derived_cl172, plain, ( (r1 @ sk__9)), 91.05/16.02 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl36])). 91.05/16.02 thf(zip_derived_cl16640, plain, ($false), 91.05/16.02 inference('demod', [status(thm)], 91.05/16.02 [zip_derived_cl16639, zip_derived_cl172, zip_derived_cl172])). 91.05/16.02 91.05/16.02 % SZS output end Refutation 91.05/16.02 91.05/16.02 91.05/16.02 % Terminating... 91.05/16.07 % Runner terminated. 0.24/16.11 % Zipperpin 1.5 exiting 0.24/16.12 EOF