0.11/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4yGY62q6aT true 0.14/0.36 % Computer : n011.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 02:54:06 EDT 2022 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 960 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.37 % Python version: Python 3.6.8 0.14/0.37 % Running in FO mode 0.57/0.67 % Total configuration time : 435 0.57/0.67 % Estimated wc time : 845 0.57/0.67 % Estimated cpu time (7 cpus) : 120.71428571428571 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 58s 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 58s 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 58s 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 49s 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 39s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 39s 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 39s 193.83/28.59 % Solved by fo/fo6_bce.sh. 193.83/28.59 % BCE start: 73 193.83/28.59 % BCE eliminated: 0 193.83/28.59 % PE start: 73 193.83/28.59 logic: neq 193.83/28.59 % PE eliminated: 25 193.83/28.59 % done 9674 iterations in 27.821s 193.83/28.59 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 193.83/28.59 % SZS output start Refutation 193.83/28.59 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o). 193.83/28.59 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o). 193.83/28.59 thf(sk__21_type, type, sk__21: $i > $i). 193.83/28.59 thf(r1_type, type, r1: $i > $o). 193.83/28.59 thf(sk__1_type, type, sk__1: $i). 193.83/28.59 thf(sk__22_type, type, sk__22: $i > $i). 193.83/28.59 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $i > $i > $o). 193.83/28.59 thf(id_type, type, id: $i > $i > $o). 193.83/28.59 thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $i > $i > $o). 193.83/28.59 thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $i > $o). 193.83/28.59 thf(r3_type, type, r3: $i > $i > $i > $o). 193.83/28.59 thf(sk__12_type, type, sk__12: $i > $i > $i). 193.83/28.59 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 193.83/28.59 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o). 193.83/28.59 thf(sk__type, type, sk_: $i > $i). 193.83/28.59 thf(sk__8_type, type, sk__8: $i > $i). 193.83/28.59 thf(r2_type, type, r2: $i > $i > $o). 193.83/28.59 thf(sk__20_type, type, sk__20: $i > $i). 193.83/28.59 thf(zip_tseitin_13_type, type, zip_tseitin_13: $i > $i > $o). 193.83/28.59 thf(nonzerosnononesexistid, conjecture, 193.83/28.59 (?[Y1:$i]: 193.83/28.59 ( ( ![Y2:$i]: 193.83/28.59 ( ( ![Y3:$i]: ( ( ~( r1 @ Y3 ) ) | ( ~( r2 @ Y3 @ Y2 ) ) ) ) | 193.83/28.59 ( ~( id @ Y1 @ Y2 ) ) ) ) & 193.83/28.59 ( ![Y4:$i]: ( ( ~( id @ Y1 @ Y4 ) ) | ( ~( r1 @ Y4 ) ) ) ) ))). 193.83/28.59 thf(zf_stmt_0, negated_conjecture, 193.83/28.59 (~( ?[Y1:$i]: 193.83/28.59 ( ( ![Y2:$i]: 193.83/28.59 ( ( ![Y3:$i]: ( ( ~( r1 @ Y3 ) ) | ( ~( r2 @ Y3 @ Y2 ) ) ) ) | 193.83/28.59 ( ~( id @ Y1 @ Y2 ) ) ) ) & 193.83/28.59 ( ![Y4:$i]: ( ( ~( id @ Y1 @ Y4 ) ) | ( ~( r1 @ Y4 ) ) ) ) ) )), 193.83/28.59 inference('cnf.neg', [status(esa)], [nonzerosnononesexistid])). 193.83/28.59 thf(zip_derived_cl67, plain, 193.83/28.59 (![X0 : $i]: 193.83/28.59 ( (r2 @ (sk__21 @ X0) @ (sk__20 @ X0)) | (id @ X0 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(zip_derived_cl71, plain, 193.83/28.59 (![X0 : $i]: ( (id @ X0 @ (sk__20 @ X0)) | (id @ X0 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(axiom_1a, axiom, 193.83/28.59 (![X1:$i,X8:$i]: 193.83/28.59 ( ?[Y4:$i]: 193.83/28.59 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) & 193.83/28.59 ( ?[Y5:$i]: 193.83/28.59 ( ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) & 193.83/28.59 ( id @ Y5 @ Y4 ) ) ) ) ))). 193.83/28.59 thf(zip_derived_cl32, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__12 @ X0 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_1a])). 193.83/28.59 thf(axiom_3a, axiom, 193.83/28.59 (![X3:$i,X10:$i]: 193.83/28.59 ( ( id @ X3 @ X10 ) | 193.83/28.59 ( ![Y12:$i]: 193.83/28.59 ( ( ~( r2 @ X10 @ Y12 ) ) | 193.83/28.59 ( ![Y13:$i]: ( ( ~( id @ Y13 @ Y12 ) ) | ( ~( r2 @ X3 @ Y13 ) ) ) ) ) ) ))). 193.83/28.59 thf(zip_derived_cl16, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 ( (id @ X0 @ X1) 193.83/28.59 | ~ (id @ X2 @ X3) 193.83/28.59 | ~ (r2 @ X0 @ X2) 193.83/28.59 | ~ (r2 @ X1 @ X3))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_3a])). 193.83/28.59 thf(zip_derived_cl146, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 ( (id @ X1 @ X2) | ~ (id @ (sk__12 @ X1 @ X0) @ X3) | ~ (r2 @ X2 @ X3))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl16])). 193.83/28.59 thf(zip_derived_cl236, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 ( (id @ (sk__12 @ X1 @ X0) @ (sk__22 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (id @ X1 @ X2) 193.83/28.59 | ~ (r2 @ X2 @ (sk__20 @ (sk__12 @ X1 @ X0))))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl146])). 193.83/28.59 thf(zip_derived_cl849, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (id @ (sk__12 @ X1 @ X0) @ (sk__22 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (id @ (sk__12 @ X1 @ X0) @ (sk__22 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (id @ X1 @ (sk__21 @ (sk__12 @ X1 @ X0))))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl236])). 193.83/28.59 thf(zip_derived_cl851, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (id @ X1 @ (sk__21 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (id @ (sk__12 @ X1 @ X0) @ (sk__22 @ (sk__12 @ X1 @ X0))))), 193.83/28.59 inference('simplify', [status(thm)], [zip_derived_cl849])). 193.83/28.59 thf(axiom_8, axiom, 193.83/28.59 (![X26:$i,X27:$i]: 193.83/28.59 ( ( ~( id @ X26 @ X27 ) ) | ( ( ~( r1 @ X26 ) ) & ( ~( r1 @ X27 ) ) ) | 193.83/28.59 ( ( r1 @ X27 ) & ( r1 @ X26 ) ) ))). 193.83/28.59 thf(zf_stmt_1, type, zip_tseitin_13 : $i > $i > $o). 193.83/28.59 thf(zf_stmt_2, axiom, 193.83/28.59 (![X27:$i,X26:$i]: 193.83/28.59 ( ( zip_tseitin_13 @ X27 @ X26 ) => ( ( r1 @ X26 ) & ( r1 @ X27 ) ) ))). 193.83/28.59 thf(zf_stmt_3, type, zip_tseitin_12 : $i > $i > $o). 193.83/28.59 thf(zf_stmt_4, axiom, 193.83/28.59 (![X27:$i,X26:$i]: 193.83/28.59 ( ( zip_tseitin_12 @ X27 @ X26 ) => 193.83/28.59 ( ( ~( r1 @ X27 ) ) & ( ~( r1 @ X26 ) ) ) ))). 193.83/28.59 thf(zf_stmt_5, axiom, 193.83/28.59 (![X26:$i,X27:$i]: 193.83/28.59 ( ( zip_tseitin_13 @ X27 @ X26 ) | ( zip_tseitin_12 @ X27 @ X26 ) | 193.83/28.59 ( ~( id @ X26 @ X27 ) ) ))). 193.83/28.59 thf(zip_derived_cl56, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (zip_tseitin_13 @ X0 @ X1) 193.83/28.59 | (zip_tseitin_12 @ X0 @ X1) 193.83/28.59 | ~ (id @ X1 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_5])). 193.83/28.59 thf(zip_derived_cl52, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_12 @ X0 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_4])). 193.83/28.59 thf(zip_derived_cl83, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 (~ (id @ X1 @ X0) | (zip_tseitin_13 @ X0 @ X1) | ~ (r1 @ X0))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl56, zip_derived_cl52])). 193.83/28.59 thf(zip_derived_cl54, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_13 @ X1 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_2])). 193.83/28.59 thf(zip_derived_cl111, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X0 @ X1) | (r1 @ X0))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl83, zip_derived_cl54])). 193.83/28.59 thf(zip_derived_cl5740, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (id @ X1 @ (sk__21 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | ~ (r1 @ (sk__22 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (r1 @ (sk__12 @ X1 @ X0)))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl851, zip_derived_cl111])). 193.83/28.59 thf(zip_derived_cl32, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__12 @ X0 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_1a])). 193.83/28.59 thf(axiom_5, axiom, (![X20:$i]: ( id @ X20 @ X20 ))). 193.83/28.59 thf(zip_derived_cl30, plain, (![X0 : $i]: (id @ X0 @ X0)), 193.83/28.59 inference('cnf', [status(esa)], [axiom_5])). 193.83/28.59 thf(axiom_7a, axiom, 193.83/28.59 (![X7:$i,Y10:$i]: 193.83/28.59 ( ( ![Y20:$i]: ( ( ~( r1 @ Y20 ) ) | ( ~( id @ Y20 @ Y10 ) ) ) ) | 193.83/28.59 ( ~( r2 @ X7 @ Y10 ) ) ))). 193.83/28.59 thf(zip_derived_cl31, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 (~ (id @ X0 @ X1) | ~ (r1 @ X0) | ~ (r2 @ X2 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_7a])). 193.83/28.59 thf(zip_derived_cl127, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (r2 @ X1 @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl31])). 193.83/28.59 thf(zip_derived_cl147, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: ~ (r1 @ (sk__12 @ X1 @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl127])). 193.83/28.59 thf(zip_derived_cl5759, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (id @ X1 @ (sk__21 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | ~ (r1 @ (sk__22 @ (sk__12 @ X1 @ X0))))), 193.83/28.59 inference('demod', [status(thm)], [zip_derived_cl5740, zip_derived_cl147])). 193.83/28.59 thf(zip_derived_cl68, plain, 193.83/28.59 (![X0 : $i]: 193.83/28.59 ( (r2 @ (sk__21 @ X0) @ (sk__20 @ X0)) | (r1 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(zip_derived_cl72, plain, 193.83/28.59 (![X0 : $i]: ( (id @ X0 @ (sk__20 @ X0)) | (r1 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(zip_derived_cl146, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 ( (id @ X1 @ X2) | ~ (id @ (sk__12 @ X1 @ X0) @ X3) | ~ (r2 @ X2 @ X3))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl16])). 193.83/28.59 thf(zip_derived_cl243, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 ( (r1 @ (sk__22 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (id @ X1 @ X2) 193.83/28.59 | ~ (r2 @ X2 @ (sk__20 @ (sk__12 @ X1 @ X0))))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl146])). 193.83/28.59 thf(zip_derived_cl962, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (r1 @ (sk__22 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (r1 @ (sk__22 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (id @ X1 @ (sk__21 @ (sk__12 @ X1 @ X0))))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl243])). 193.83/28.59 thf(zip_derived_cl963, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (id @ X1 @ (sk__21 @ (sk__12 @ X1 @ X0))) 193.83/28.59 | (r1 @ (sk__22 @ (sk__12 @ X1 @ X0))))), 193.83/28.59 inference('simplify', [status(thm)], [zip_derived_cl962])). 193.83/28.59 thf(zip_derived_cl165596, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (id @ X1 @ (sk__21 @ (sk__12 @ X1 @ X0)))), 193.83/28.59 inference('clc', [status(thm)], [zip_derived_cl5759, zip_derived_cl963])). 193.83/28.59 thf(zip_derived_cl30, plain, (![X0 : $i]: (id @ X0 @ X0)), 193.83/28.59 inference('cnf', [status(esa)], [axiom_5])). 193.83/28.59 thf(axiom_2, axiom, 193.83/28.59 (![X11:$i]: 193.83/28.59 ( ?[Y21:$i]: 193.83/28.59 ( ![X12:$i]: 193.83/28.59 ( ( ( r2 @ X11 @ X12 ) & ( id @ X12 @ Y21 ) ) | 193.83/28.59 ( ( ~( r2 @ X11 @ X12 ) ) & ( ~( id @ X12 @ Y21 ) ) ) ) ) ))). 193.83/28.59 thf(zf_stmt_6, type, zip_tseitin_1 : $i > $i > $i > $o). 193.83/28.59 thf(zf_stmt_7, axiom, 193.83/28.59 (![X12:$i,Y21:$i,X11:$i]: 193.83/28.59 ( ( zip_tseitin_1 @ X12 @ Y21 @ X11 ) => 193.83/28.59 ( ( ~( id @ X12 @ Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))). 193.83/28.59 thf(zf_stmt_8, type, zip_tseitin_0 : $i > $i > $i > $o). 193.83/28.59 thf(zf_stmt_9, axiom, 193.83/28.59 (![X12:$i,Y21:$i,X11:$i]: 193.83/28.59 ( ( zip_tseitin_0 @ X12 @ Y21 @ X11 ) => 193.83/28.59 ( ( id @ X12 @ Y21 ) & ( r2 @ X11 @ X12 ) ) ))). 193.83/28.59 thf(zf_stmt_10, axiom, 193.83/28.59 (![X11:$i]: 193.83/28.59 ( ?[Y21:$i]: 193.83/28.59 ( ![X12:$i]: 193.83/28.59 ( ( zip_tseitin_1 @ X12 @ Y21 @ X11 ) | 193.83/28.59 ( zip_tseitin_0 @ X12 @ Y21 @ X11 ) ) ) ))). 193.83/28.59 thf(zip_derived_cl5, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (zip_tseitin_1 @ X0 @ (sk_ @ X1) @ X1) 193.83/28.59 | (zip_tseitin_0 @ X0 @ (sk_ @ X1) @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_10])). 193.83/28.59 thf(zip_derived_cl2, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X2 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_9])). 193.83/28.59 thf(zip_derived_cl78, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (zip_tseitin_1 @ X0 @ (sk_ @ X1) @ X1) | (r2 @ X1 @ X0))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl5, zip_derived_cl2])). 193.83/28.59 thf(zip_derived_cl3, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 (~ (id @ X0 @ X1) | ~ (zip_tseitin_1 @ X0 @ X1 @ X2))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_7])). 193.83/28.59 thf(zip_derived_cl101, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: ( (r2 @ X0 @ X1) | ~ (id @ X1 @ (sk_ @ X0)))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl78, zip_derived_cl3])). 193.83/28.59 thf(zip_derived_cl302, plain, (![X0 : $i]: (r2 @ X0 @ (sk_ @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl101])). 193.83/28.59 thf(zip_derived_cl67, plain, 193.83/28.59 (![X0 : $i]: 193.83/28.59 ( (r2 @ (sk__21 @ X0) @ (sk__20 @ X0)) | (id @ X0 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(zip_derived_cl71, plain, 193.83/28.59 (![X0 : $i]: ( (id @ X0 @ (sk__20 @ X0)) | (id @ X0 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(zip_derived_cl31, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 (~ (id @ X0 @ X1) | ~ (r1 @ X0) | ~ (r2 @ X2 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_7a])). 193.83/28.59 thf(zip_derived_cl232, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (id @ X0 @ (sk__22 @ X0)) 193.83/28.59 | ~ (r1 @ X0) 193.83/28.59 | ~ (r2 @ X1 @ (sk__20 @ X0)))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl31])). 193.83/28.59 thf(zip_derived_cl273, plain, 193.83/28.59 (![X0 : $i]: 193.83/28.59 ( (id @ X0 @ (sk__22 @ X0)) | (id @ X0 @ (sk__22 @ X0)) | ~ (r1 @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl232])). 193.83/28.59 thf(zip_derived_cl275, plain, 193.83/28.59 (![X0 : $i]: (~ (r1 @ X0) | (id @ X0 @ (sk__22 @ X0)))), 193.83/28.59 inference('simplify', [status(thm)], [zip_derived_cl273])). 193.83/28.59 thf(axiom_1, axiom, 193.83/28.59 (?[Y24:$i]: 193.83/28.59 ( ![X19:$i]: 193.83/28.59 ( ( ( ~( id @ X19 @ Y24 ) ) & ( ~( r1 @ X19 ) ) ) | 193.83/28.59 ( ( r1 @ X19 ) & ( id @ X19 @ Y24 ) ) ) ))). 193.83/28.59 thf(zf_stmt_11, type, zip_tseitin_3 : $i > $i > $o). 193.83/28.59 thf(zf_stmt_12, axiom, 193.83/28.59 (![X19:$i,Y24:$i]: 193.83/28.59 ( ( zip_tseitin_3 @ X19 @ Y24 ) => ( ( id @ X19 @ Y24 ) & ( r1 @ X19 ) ) ))). 193.83/28.59 thf(zf_stmt_13, type, zip_tseitin_2 : $i > $i > $o). 193.83/28.59 thf(zf_stmt_14, axiom, 193.83/28.59 (![X19:$i,Y24:$i]: 193.83/28.59 ( ( zip_tseitin_2 @ X19 @ Y24 ) => 193.83/28.59 ( ( ~( r1 @ X19 ) ) & ( ~( id @ X19 @ Y24 ) ) ) ))). 193.83/28.59 thf(zf_stmt_15, axiom, 193.83/28.59 (?[Y24:$i]: 193.83/28.59 ( ![X19:$i]: 193.83/28.59 ( ( zip_tseitin_3 @ X19 @ Y24 ) | ( zip_tseitin_2 @ X19 @ Y24 ) ) ))). 193.83/28.59 thf(zip_derived_cl10, plain, 193.83/28.59 (![X0 : $i]: 193.83/28.59 ( (zip_tseitin_3 @ X0 @ sk__1) | (zip_tseitin_2 @ X0 @ sk__1))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_15])). 193.83/28.59 thf(zip_derived_cl6, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_2 @ X0 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_14])). 193.83/28.59 thf(zip_derived_cl73, plain, 193.83/28.59 (![X0 : $i]: ( (zip_tseitin_3 @ X0 @ sk__1) | ~ (r1 @ X0))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl10, zip_derived_cl6])). 193.83/28.59 thf(zip_derived_cl8, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (zip_tseitin_3 @ X0 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_12])). 193.83/28.59 thf(zip_derived_cl91, plain, 193.83/28.59 (![X0 : $i]: (~ (r1 @ X0) | (id @ X0 @ sk__1))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl73, zip_derived_cl8])). 193.83/28.59 thf(axiom_4a, axiom, 193.83/28.59 (![X4:$i]: 193.83/28.59 ( ?[Y9:$i]: 193.83/28.59 ( ( id @ Y9 @ X4 ) & 193.83/28.59 ( ?[Y16:$i]: ( ( r1 @ Y16 ) & ( r3 @ X4 @ Y16 @ Y9 ) ) ) ) ))). 193.83/28.59 thf(zip_derived_cl27, plain, (![X0 : $i]: (r1 @ (sk__8 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_4a])). 193.83/28.59 thf(zip_derived_cl135, plain, (![X0 : $i]: (id @ (sk__8 @ X0) @ sk__1)), 193.83/28.59 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl27])). 193.83/28.59 thf(axiom_6, axiom, 193.83/28.59 (![X21:$i,X22:$i]: ( ( id @ X22 @ X21 ) | ( ~( id @ X21 @ X22 ) ) ))). 193.83/28.59 thf(zip_derived_cl0, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_6])). 193.83/28.59 thf(zip_derived_cl152, plain, (![X0 : $i]: (id @ sk__1 @ (sk__8 @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl0])). 193.83/28.59 thf(axiom_7, axiom, 193.83/28.59 (![X23:$i,X24:$i,X25:$i]: 193.83/28.59 ( ( id @ X23 @ X25 ) | ( ~( id @ X24 @ X25 ) ) | ( ~( id @ X23 @ X24 ) ) ))). 193.83/28.59 thf(zip_derived_cl51, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 (~ (id @ X0 @ X1) | ~ (id @ X1 @ X2) | (id @ X0 @ X2))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_7])). 193.83/28.59 thf(zip_derived_cl183, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (~ (id @ (sk__8 @ X0) @ X1) | (id @ sk__1 @ X1))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl51])). 193.83/28.59 thf(zip_derived_cl619, plain, 193.83/28.59 (![X0 : $i]: 193.83/28.59 (~ (r1 @ (sk__8 @ X0)) | (id @ sk__1 @ (sk__22 @ (sk__8 @ X0))))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl275, zip_derived_cl183])). 193.83/28.59 thf(zip_derived_cl27, plain, (![X0 : $i]: (r1 @ (sk__8 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_4a])). 193.83/28.59 thf(zip_derived_cl621, plain, 193.83/28.59 (![X0 : $i]: (id @ sk__1 @ (sk__22 @ (sk__8 @ X0)))), 193.83/28.59 inference('demod', [status(thm)], [zip_derived_cl619, zip_derived_cl27])). 193.83/28.59 thf(axiom_9, axiom, 193.83/28.59 (![X28:$i,X29:$i,X30:$i,X31:$i]: 193.83/28.59 ( ( ~( id @ X28 @ X30 ) ) | ( ~( id @ X29 @ X31 ) ) | 193.83/28.59 ( ( ~( r2 @ X28 @ X29 ) ) & ( ~( r2 @ X30 @ X31 ) ) ) | 193.83/28.59 ( ( r2 @ X28 @ X29 ) & ( r2 @ X30 @ X31 ) ) ))). 193.83/28.59 thf(zf_stmt_16, type, zip_tseitin_17 : $i > $i > $i > $i > $o). 193.83/28.59 thf(zf_stmt_17, axiom, 193.83/28.59 (![X31:$i,X30:$i,X29:$i,X28:$i]: 193.83/28.59 ( ( zip_tseitin_17 @ X31 @ X30 @ X29 @ X28 ) => 193.83/28.59 ( ( r2 @ X30 @ X31 ) & ( r2 @ X28 @ X29 ) ) ))). 193.83/28.59 thf(zf_stmt_18, type, zip_tseitin_16 : $i > $i > $i > $i > $o). 193.83/28.59 thf(zf_stmt_19, axiom, 193.83/28.59 (![X31:$i,X30:$i,X29:$i,X28:$i]: 193.83/28.59 ( ( zip_tseitin_16 @ X31 @ X30 @ X29 @ X28 ) => 193.83/28.59 ( ( ~( r2 @ X30 @ X31 ) ) & ( ~( r2 @ X28 @ X29 ) ) ) ))). 193.83/28.59 thf(zf_stmt_20, axiom, 193.83/28.59 (![X28:$i,X29:$i,X30:$i,X31:$i]: 193.83/28.59 ( ( zip_tseitin_17 @ X31 @ X30 @ X29 @ X28 ) | 193.83/28.59 ( zip_tseitin_16 @ X31 @ X30 @ X29 @ X28 ) | ( ~( id @ X29 @ X31 ) ) | 193.83/28.59 ( ~( id @ X28 @ X30 ) ) ))). 193.83/28.59 thf(zip_derived_cl66, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 (~ (id @ X0 @ X1) 193.83/28.59 | ~ (id @ X2 @ X3) 193.83/28.59 | (zip_tseitin_16 @ X3 @ X1 @ X2 @ X0) 193.83/28.59 | (zip_tseitin_17 @ X3 @ X1 @ X2 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_20])). 193.83/28.59 thf(zip_derived_cl63, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_16 @ X2 @ X3 @ X1 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_19])). 193.83/28.59 thf(zip_derived_cl86, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 ( (zip_tseitin_17 @ X3 @ X2 @ X0 @ X1) 193.83/28.59 | ~ (id @ X0 @ X3) 193.83/28.59 | ~ (id @ X1 @ X2) 193.83/28.59 | ~ (r2 @ X1 @ X0))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl66, zip_derived_cl63])). 193.83/28.59 thf(zip_derived_cl64, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_17 @ X1 @ X0 @ X2 @ X3))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_17])). 193.83/28.59 thf(zip_derived_cl117, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 193.83/28.59 (~ (r2 @ X3 @ X2) 193.83/28.59 | ~ (id @ X3 @ X1) 193.83/28.59 | ~ (id @ X2 @ X0) 193.83/28.59 | (r2 @ X1 @ X0))), 193.83/28.59 inference('dp-resolution', [status(thm)], 193.83/28.59 [zip_derived_cl86, zip_derived_cl64])). 193.83/28.59 thf(zip_derived_cl734, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 (~ (r2 @ sk__1 @ X1) 193.83/28.59 | ~ (id @ X1 @ X2) 193.83/28.59 | (r2 @ (sk__22 @ (sk__8 @ X0)) @ X2))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl117])). 193.83/28.59 thf(zip_derived_cl4127, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 (~ (id @ (sk_ @ sk__1) @ X0) | (r2 @ (sk__22 @ (sk__8 @ X1)) @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl734])). 193.83/28.59 thf(zip_derived_cl127, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (r2 @ X1 @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl31])). 193.83/28.59 thf(zip_derived_cl96872, plain, 193.83/28.59 (![X0 : $i]: (~ (id @ (sk_ @ sk__1) @ X0) | ~ (r1 @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], 193.83/28.59 [zip_derived_cl4127, zip_derived_cl127])). 193.83/28.59 thf(zip_derived_cl165677, plain, 193.83/28.59 (![X0 : $i]: ~ (r1 @ (sk__21 @ (sk__12 @ (sk_ @ sk__1) @ X0)))), 193.83/28.59 inference('s_sup-', [status(thm)], 193.83/28.59 [zip_derived_cl165596, zip_derived_cl96872])). 193.83/28.59 thf(zip_derived_cl32, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__12 @ X0 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_1a])). 193.83/28.59 thf(zip_derived_cl69, plain, 193.83/28.59 (![X0 : $i]: ( (r1 @ (sk__21 @ X0)) | (id @ X0 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(zip_derived_cl0, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_6])). 193.83/28.59 thf(zip_derived_cl210, plain, 193.83/28.59 (![X0 : $i]: ( (r1 @ (sk__21 @ X0)) | (id @ (sk__22 @ X0) @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])). 193.83/28.59 thf(zip_derived_cl31, plain, 193.83/28.59 (![X0 : $i, X1 : $i, X2 : $i]: 193.83/28.59 (~ (id @ X0 @ X1) | ~ (r1 @ X0) | ~ (r2 @ X2 @ X1))), 193.83/28.59 inference('cnf', [status(esa)], [axiom_7a])). 193.83/28.59 thf(zip_derived_cl709, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: 193.83/28.59 ( (r1 @ (sk__21 @ X0)) | ~ (r1 @ (sk__22 @ X0)) | ~ (r2 @ X1 @ X0))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl31])). 193.83/28.59 thf(zip_derived_cl70, plain, 193.83/28.59 (![X0 : $i]: ( (r1 @ (sk__21 @ X0)) | (r1 @ (sk__22 @ X0)))), 193.83/28.59 inference('cnf', [status(esa)], [zf_stmt_0])). 193.83/28.59 thf(zip_derived_cl769, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (~ (r2 @ X1 @ X0) | (r1 @ (sk__21 @ X0)))), 193.83/28.59 inference('clc', [status(thm)], [zip_derived_cl709, zip_derived_cl70])). 193.83/28.59 thf(zip_derived_cl771, plain, 193.83/28.59 (![X0 : $i, X1 : $i]: (r1 @ (sk__21 @ (sk__12 @ X1 @ X0)))), 193.83/28.59 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl769])). 193.83/28.59 thf(zip_derived_cl166017, plain, ($false), 193.83/28.59 inference('demod', [status(thm)], 193.83/28.59 [zip_derived_cl165677, zip_derived_cl771])). 193.83/28.59 193.83/28.59 % SZS output end Refutation 193.83/28.59 193.83/28.59 193.83/28.59 % Terminating... 193.83/28.63 % Runner terminated. 193.83/28.64 % Zipperpin 1.5 exiting 193.83/28.65 EOF