0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Py9ZRswsNY true 0.12/0.33 % Computer : n020.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:54:50 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 960 s 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in HO mode 0.53/0.65 % Total configuration time : 828 0.53/0.65 % Estimated wc time : 1656 0.53/0.65 % Estimated cpu time (8 cpus) : 207.0 0.54/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 26.32/3.94 % Solved by lams/40_c.s.sh. 26.32/3.94 % done 240 iterations in 3.211s 26.32/3.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 26.32/3.94 % SZS output start Refutation 26.32/3.94 thf(a_type, type, a: $tType). 26.32/3.94 thf(sk__1_type, type, sk__1: a > a). 26.32/3.94 thf(sk__3_type, type, sk__3: a > a). 26.32/3.94 thf(sk__4_type, type, sk__4: (a > a) > $o). 26.32/3.94 thf(sk__5_type, type, sk__5: ((a > a) > $o) > a > a). 26.32/3.94 thf(sk__2_type, type, sk__2: ((a > a) > $o) > a > a). 26.32/3.94 thf(sk__type, type, sk_: a > a). 26.32/3.94 thf(cTHM135D_pme, conjecture, 26.32/3.94 (![Xf:( a > a ),Xg1:( a > a ),Xg2:( a > a )]: 26.32/3.94 ( ( ( ![Xp:( ( a > a ) > $o )]: 26.32/3.94 ( ( ( Xp @ Xf ) & 26.32/3.94 ( ![Xj:( a > a )]: 26.32/3.94 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 26.32/3.94 ( Xp @ Xg2 ) ) ) & 26.32/3.94 ( ![Xp:( ( a > a ) > $o )]: 26.32/3.94 ( ( ( Xp @ Xf ) & 26.32/3.94 ( ![Xj:( a > a )]: 26.32/3.94 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 26.32/3.94 ( Xp @ Xg1 ) ) ) ) => 26.32/3.94 ( ![Xp:( ( a > a ) > $o )]: 26.32/3.94 ( ( ( ![Xj:( a > a )]: 26.32/3.94 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 26.32/3.94 ( Xp @ Xf ) ) => 26.32/3.94 ( Xp @ ( ^[Xx:a]: ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ))). 26.32/3.94 thf(zf_stmt_0, negated_conjecture, 26.32/3.94 (~( ![Xf:( a > a ),Xg1:( a > a ),Xg2:( a > a )]: 26.32/3.94 ( ( ( ![Xp:( ( a > a ) > $o )]: 26.32/3.94 ( ( ( Xp @ Xf ) & 26.32/3.94 ( ![Xj:( a > a )]: 26.32/3.94 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 26.32/3.94 ( Xp @ Xg2 ) ) ) & 26.32/3.94 ( ![Xp:( ( a > a ) > $o )]: 26.32/3.94 ( ( ( Xp @ Xf ) & 26.32/3.94 ( ![Xj:( a > a )]: 26.32/3.94 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 26.32/3.94 ( Xp @ Xg1 ) ) ) ) => 26.32/3.94 ( ![Xp:( ( a > a ) > $o )]: 26.32/3.94 ( ( ( ![Xj:( a > a )]: 26.32/3.94 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 26.32/3.94 ( Xp @ Xf ) ) => 26.32/3.94 ( Xp @ ( ^[Xx:a]: ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ) )), 26.32/3.94 inference('cnf.neg', [status(esa)], [cTHM135D_pme])). 26.32/3.94 thf(zip_derived_cl2, plain, 26.32/3.94 (~ (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0))))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl4, plain, 26.32/3.94 (![X1 : (a > a) > $o]: 26.32/3.94 ( (X1 @ sk__3) 26.32/3.94 | ~ (X1 @ (^[Y0 : a]: (sk_ @ (sk__5 @ X1 @ Y0)))) 26.32/3.94 | ~ (X1 @ sk_))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl0, plain, 26.32/3.94 (![X0 : a > a]: 26.32/3.94 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl492, plain, 26.32/3.94 ((~ ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk_) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk__3) 26.32/3.94 | ~ (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__5 @ 26.32/3.94 ((^[Y1 : a,Y2 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y3 : a]: 26.32/3.94 (Y2 @ ((^[Y4 : a > a,Y5 : a]: (Y5)) @ Y2 @ Y3))))) @ 26.32/3.94 Y0) @ 26.32/3.94 ((^[Y1 : a]: (Y1)) @ Y0)))))), 26.32/3.94 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])). 26.32/3.94 thf(zip_derived_cl496, plain, 26.32/3.94 ((~ (sk__4 @ sk_) | (sk__4 @ sk__3) | ~ (sk__4 @ (sk__5 @ sk__4)))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl492])). 26.32/3.94 thf(zip_derived_cl1, plain, ( (sk__4 @ sk_)), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl497, plain, 26.32/3.94 (( (sk__4 @ sk__3) | ~ (sk__4 @ (sk__5 @ sk__4)))), 26.32/3.94 inference('demod', [status(thm)], [zip_derived_cl496, zip_derived_cl1])). 26.32/3.94 thf(zip_derived_cl1, plain, ( (sk__4 @ sk_)), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl3, plain, 26.32/3.94 (![X1 : (a > a) > $o]: 26.32/3.94 ( (X1 @ sk__3) | (X1 @ (sk__5 @ X1)) | ~ (X1 @ sk_))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl52, plain, 26.32/3.94 (( ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 (sk__5 @ 26.32/3.94 (^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 Y0))))) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk__3))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])). 26.32/3.94 thf(zip_derived_cl57, plain, 26.32/3.94 (( (sk__4 @ (sk__5 @ sk__4)) | (sk__4 @ sk__3))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl52])). 26.32/3.94 thf(zip_derived_cl507, plain, ( (sk__4 @ sk__3)), 26.32/3.94 inference('clc', [status(thm)], [zip_derived_cl497, zip_derived_cl57])). 26.32/3.94 thf(zip_derived_cl0, plain, 26.32/3.94 (![X0 : a > a]: 26.32/3.94 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl5, plain, 26.32/3.94 (![X2 : (a > a) > $o]: 26.32/3.94 ( (X2 @ sk__1) | (X2 @ (sk__2 @ X2)) | ~ (X2 @ sk_))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl190, plain, 26.32/3.94 (![X0 : (a > a) > a > a > a]: 26.32/3.94 (~ (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (X0 @ ((^[Y1 : a]: (sk_)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0) @ Y0))) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (X0 @ Y3 @ Y4 @ 26.32/3.94 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (X0 @ Y3 @ Y4 @ 26.32/3.94 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))))) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (X0 @ Y3 @ Y4 @ 26.32/3.94 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk__1))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])). 26.32/3.94 thf(zip_derived_cl192, plain, 26.32/3.94 (![X0 : (a > a) > a > a > a]: 26.32/3.94 (~ (sk__4 @ (^[Y0 : a]: (X0 @ sk_ @ Y0 @ Y0))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y2))))) @ 26.32/3.94 (X0 @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y2)))))) @ 26.32/3.94 Y0 @ Y0)))) 26.32/3.94 | (sk__4 @ (^[Y0 : a]: (sk__1 @ (X0 @ sk__1 @ Y0 @ Y0)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl190])). 26.32/3.94 thf(zip_derived_cl193, plain, 26.32/3.94 (![X0 : (a > a) > a > a]: 26.32/3.94 (~ (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk_ @ Y0 @ Y0))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a,Y5 : a]: (X0 @ Y3 @ Y5)) @ 26.32/3.94 Y1 @ Y2 @ Y2))))) @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a,Y5 : a]: (X0 @ Y3 @ Y5)) @ 26.32/3.94 Y1 @ Y2 @ Y2)))))) @ 26.32/3.94 Y0 @ Y0)))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__1 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk__1 @ 26.32/3.94 Y0 @ Y0)))))), 26.32/3.94 inference('prune_arg_fun', [status(thm)], [zip_derived_cl192])). 26.32/3.94 thf(zip_derived_cl194, plain, 26.32/3.94 (![X0 : (a > a) > a > a]: 26.32/3.94 (~ (sk__4 @ (X0 @ sk_)) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ 26.32/3.94 (X0 @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2)))))) @ 26.32/3.94 Y0)))) 26.32/3.94 | (sk__4 @ (^[Y0 : a]: (sk__1 @ (X0 @ sk__1 @ Y0)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl193])). 26.32/3.94 thf(zip_derived_cl2655, plain, 26.32/3.94 (( (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__1 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 sk__1 @ Y0)))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))))) @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2)))))) @ 26.32/3.94 Y0)))))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl507, zip_derived_cl194])). 26.32/3.94 thf(zip_derived_cl2670, plain, 26.32/3.94 (( (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0)))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 26.32/3.94 (sk__3 @ Y0)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl2655])). 26.32/3.94 thf(zip_derived_cl2, plain, 26.32/3.94 (~ (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0))))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl2671, plain, 26.32/3.94 ( (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 26.32/3.94 (sk__3 @ Y0))))), 26.32/3.94 inference('demod', [status(thm)], [zip_derived_cl2670, zip_derived_cl2])). 26.32/3.94 thf(zip_derived_cl0, plain, 26.32/3.94 (![X0 : a > a]: 26.32/3.94 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl5, plain, 26.32/3.94 (![X2 : (a > a) > $o]: 26.32/3.94 ( (X2 @ sk__1) | (X2 @ (sk__2 @ X2)) | ~ (X2 @ sk_))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl209, plain, 26.32/3.94 (![X0 : a > (a > a) > a, X1 : a > a]: 26.32/3.94 (~ (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y3 @ Y1)) @ 26.32/3.94 ((^[Y1 : a]: (sk_)) @ Y0) @ (X1 @ Y0) @ Y0))) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 ((^[Y5 : a > a,Y6 : a,Y7 : a]: (X0 @ Y7 @ Y5)) @ 26.32/3.94 Y3 @ Y4 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 ((^[Y5 : a > a,Y6 : a,Y7 : a]: (X0 @ Y7 @ Y5)) @ 26.32/3.94 Y3 @ Y4 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))))) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 ((^[Y5 : a > a,Y6 : a,Y7 : a]: (X0 @ Y7 @ Y5)) @ 26.32/3.94 Y3 @ Y4 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk__1))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])). 26.32/3.94 thf(zip_derived_cl211, plain, 26.32/3.94 (![X0 : a > (a > a) > a]: 26.32/3.94 (~ (sk__4 @ (^[Y0 : a]: (X0 @ Y0 @ sk_))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 (X0 @ Y0 @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ (^[Y2 : a]: (sk_ @ (X0 @ Y2 @ Y1)))))))))) 26.32/3.94 | (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0 @ sk__1)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl209])). 26.32/3.94 thf(zip_derived_cl3257, plain, 26.32/3.94 (( (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y1 : a,Y2 : a > a]: 26.32/3.94 (sk__2 @ 26.32/3.94 ((^[Y3 : a,Y4 : a > a,Y5 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y6 : a,Y7 : a > a,Y8 : a > a,Y9 : a]: 26.32/3.94 (Y8 @ 26.32/3.94 ((^[Y10 : a,Y11 : a > a,Y12 : a > a,Y13 : a]: 26.32/3.94 (sk__3 @ 26.32/3.94 ((^[Y14 : a,Y15 : a > a,Y16 : a > a,Y17 : a]: 26.32/3.94 (Y17)) @ 26.32/3.94 Y10 @ Y11 @ Y12 @ Y13))) @ 26.32/3.94 Y6 @ Y7 @ Y8 @ Y9))) @ 26.32/3.94 Y3 @ Y4 @ Y5))) @ 26.32/3.94 Y1 @ Y2) @ 26.32/3.94 ((^[Y3 : a,Y4 : a > a]: 26.32/3.94 (sk__3 @ ((^[Y5 : a,Y6 : a > a]: (Y5)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0 @ sk__1)))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y1 : a,Y2 : a > a]: 26.32/3.94 (sk__2 @ 26.32/3.94 ((^[Y3 : a,Y4 : a > a,Y5 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y6 : a,Y7 : a > a,Y8 : a > a,Y9 : a]: 26.32/3.94 (Y8 @ 26.32/3.94 ((^[Y10 : a,Y11 : a > a,Y12 : a > a,Y13 : a]: 26.32/3.94 (sk__3 @ 26.32/3.94 ((^[Y14 : a,Y15 : a > a,Y16 : a > a,Y17 : a]: 26.32/3.94 (Y17)) @ 26.32/3.94 Y10 @ Y11 @ Y12 @ Y13))) @ 26.32/3.94 Y6 @ Y7 @ Y8 @ Y9))) @ 26.32/3.94 Y3 @ Y4 @ Y5))) @ 26.32/3.94 Y1 @ Y2) @ 26.32/3.94 ((^[Y3 : a,Y4 : a > a]: 26.32/3.94 (sk__3 @ ((^[Y5 : a,Y6 : a > a]: (Y5)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0 @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a,Y4 : a > a]: 26.32/3.94 (sk__2 @ 26.32/3.94 ((^[Y5 : a,Y6 : a > a,Y7 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y8 : a,Y9 : a > a,Y10 : a > a,Y11 : a]: 26.32/3.94 (Y10 @ 26.32/3.94 ((^[Y12 : a,Y13 : a > a,Y14 : a > a, 26.32/3.94 Y15 : a]: 26.32/3.94 (sk__3 @ 26.32/3.94 ((^[Y16 : a,Y17 : a > a, 26.32/3.94 Y18 : a > a,Y19 : a]: 26.32/3.94 (Y19)) @ 26.32/3.94 Y12 @ Y13 @ Y14 @ Y15))) @ 26.32/3.94 Y8 @ Y9 @ Y10 @ Y11))) @ 26.32/3.94 Y5 @ Y6 @ Y7))) @ 26.32/3.94 Y3 @ Y4) @ 26.32/3.94 ((^[Y5 : a,Y6 : a > a]: 26.32/3.94 (sk__3 @ 26.32/3.94 ((^[Y7 : a,Y8 : a > a]: (Y7)) @ Y5 @ Y6))) @ 26.32/3.94 Y3 @ Y4))) @ 26.32/3.94 Y2 @ Y1)))))))))))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl2671, zip_derived_cl211])). 26.32/3.94 thf(zip_derived_cl3280, plain, 26.32/3.94 (( (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 26.32/3.94 (sk__3 @ Y0))))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 26.32/3.94 (sk__3 @ Y0))))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl3257])). 26.32/3.94 thf(zip_derived_cl3281, plain, 26.32/3.94 ( (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 26.32/3.94 (sk__3 @ Y0)))))), 26.32/3.94 inference('simplify', [status(thm)], [zip_derived_cl3280])). 26.32/3.94 thf(zip_derived_cl6, plain, 26.32/3.94 (![X2 : (a > a) > $o]: 26.32/3.94 ( (X2 @ sk__1) 26.32/3.94 | ~ (X2 @ (^[Y0 : a]: (sk_ @ (sk__2 @ X2 @ Y0)))) 26.32/3.94 | ~ (X2 @ sk_))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl3373, plain, 26.32/3.94 ((~ ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk_) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (Y1 @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk__1))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl3281, zip_derived_cl6])). 26.32/3.94 thf(zip_derived_cl3382, plain, 26.32/3.94 ((~ (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0)))) 26.32/3.94 | (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl3373])). 26.32/3.94 thf(zip_derived_cl507, plain, ( (sk__4 @ sk__3)), 26.32/3.94 inference('clc', [status(thm)], [zip_derived_cl497, zip_derived_cl57])). 26.32/3.94 thf(zip_derived_cl0, plain, 26.32/3.94 (![X0 : a > a]: 26.32/3.94 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl5, plain, 26.32/3.94 (![X2 : (a > a) > $o]: 26.32/3.94 ( (X2 @ sk__1) | (X2 @ (sk__2 @ X2)) | ~ (X2 @ sk_))), 26.32/3.94 inference('cnf', [status(esa)], [zf_stmt_0])). 26.32/3.94 thf(zip_derived_cl161, plain, 26.32/3.94 (![X0 : (a > a) > a > a > a]: 26.32/3.94 (~ (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (X0 @ ((^[Y1 : a]: (sk_)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0) @ Y0))) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (X0 @ Y3 @ Y4 @ 26.32/3.94 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (X0 @ Y3 @ Y4 @ 26.32/3.94 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))))) 26.32/3.94 | ((^[Y0 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (X0 @ Y3 @ Y4 @ 26.32/3.94 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2))) @ 26.32/3.94 Y0))) @ 26.32/3.94 sk__1))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])). 26.32/3.94 thf(zip_derived_cl183, plain, 26.32/3.94 (![X0 : (a > a) > a > a > a]: 26.32/3.94 (~ (sk__4 @ (^[Y0 : a]: (X0 @ sk_ @ Y0 @ Y0))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 (X0 @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ (^[Y2 : a]: (sk_ @ (X0 @ Y1 @ Y2 @ Y2)))))) @ 26.32/3.94 Y0 @ Y0)))) 26.32/3.94 | (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ sk__1 @ Y0 @ Y0)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl161])). 26.32/3.94 thf(zip_derived_cl184, plain, 26.32/3.94 (![X0 : (a > a) > a > a]: 26.32/3.94 (~ (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk_ @ Y0 @ Y0))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a,Y5 : a]: (X0 @ Y3 @ Y5)) @ 26.32/3.94 Y1 @ Y2 @ Y2)))))) @ 26.32/3.94 Y0 @ Y0)))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk__1 @ 26.32/3.94 Y0 @ Y0)))))), 26.32/3.94 inference('prune_arg_fun', [status(thm)], [zip_derived_cl183])). 26.32/3.94 thf(zip_derived_cl185, plain, 26.32/3.94 (![X0 : (a > a) > a > a]: 26.32/3.94 (~ (sk__4 @ (X0 @ sk_)) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 (X0 @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ (^[Y2 : a]: (sk_ @ (X0 @ Y1 @ Y2)))))) @ 26.32/3.94 Y0)))) 26.32/3.94 | (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ sk__1 @ Y0)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl184])). 26.32/3.94 thf(zip_derived_cl2117, plain, 26.32/3.94 (( (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 sk__1 @ Y0)))) 26.32/3.94 | (sk__4 @ 26.32/3.94 (^[Y0 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y1 : a > a,Y2 : a]: 26.32/3.94 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 26.32/3.94 (sk__2 @ 26.32/3.94 (^[Y1 : a > a]: 26.32/3.94 (sk__4 @ 26.32/3.94 (^[Y2 : a]: 26.32/3.94 (sk_ @ 26.32/3.94 ((^[Y3 : a > a,Y4 : a]: 26.32/3.94 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 26.32/3.94 Y1 @ Y2)))))) @ 26.32/3.94 Y0)))))), 26.32/3.94 inference('sup-', [status(thm)], [zip_derived_cl507, zip_derived_cl185])). 26.32/3.94 thf(zip_derived_cl2127, plain, 26.32/3.94 (( (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0)))) 26.32/3.94 | (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0)))))), 26.32/3.94 inference('ho_norm', [status(thm)], [zip_derived_cl2117])). 26.32/3.94 thf(zip_derived_cl2128, plain, 26.32/3.94 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0))))), 26.32/3.94 inference('simplify', [status(thm)], [zip_derived_cl2127])). 26.32/3.94 thf(zip_derived_cl3383, plain, 26.32/3.94 ( (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0))))), 26.32/3.94 inference('demod', [status(thm)], 26.32/3.94 [zip_derived_cl3382, zip_derived_cl2128])). 26.32/3.94 thf(zip_derived_cl3392, plain, ($false), 26.32/3.94 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3383])). 26.32/3.94 26.32/3.94 % SZS output end Refutation 26.32/3.94 26.32/3.94 26.32/3.94 % Terminating... 26.80/4.08 % Runner terminated. 26.80/4.08 % Zipperpin 1.5 exiting 26.80/4.09 EOF