0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WohYV16KZE true 0.14/0.35 % Computer : n016.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 03:14:42 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 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.55/0.70 % Total configuration time : 828 0.55/0.70 % Estimated wc time : 1656 0.55/0.70 % Estimated cpu time (8 cpus) : 207.0 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 25.54/3.93 % Solved by lams/40_c.s.sh. 25.54/3.93 % done 240 iterations in 3.116s 25.54/3.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 25.54/3.93 % SZS output start Refutation 25.54/3.93 thf(a_type, type, a: $tType). 25.54/3.93 thf(sk__1_type, type, sk__1: a > a). 25.54/3.93 thf(sk__type, type, sk_: a > a). 25.54/3.93 thf(sk__2_type, type, sk__2: ((a > a) > $o) > a > a). 25.54/3.93 thf(sk__4_type, type, sk__4: (a > a) > $o). 25.54/3.93 thf(sk__5_type, type, sk__5: ((a > a) > $o) > a > a). 25.54/3.93 thf(sk__3_type, type, sk__3: a > a). 25.54/3.93 thf(cTHM135D_pme, conjecture, 25.54/3.93 (![Xf:( a > a ),Xg1:( a > a ),Xg2:( a > a )]: 25.54/3.93 ( ( ( ![Xp:( ( a > a ) > $o )]: 25.54/3.93 ( ( ( Xp @ Xf ) & 25.54/3.93 ( ![Xj:( a > a )]: 25.54/3.93 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 25.54/3.93 ( Xp @ Xg2 ) ) ) & 25.54/3.93 ( ![Xp:( ( a > a ) > $o )]: 25.54/3.93 ( ( ( Xp @ Xf ) & 25.54/3.93 ( ![Xj:( a > a )]: 25.54/3.93 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 25.54/3.93 ( Xp @ Xg1 ) ) ) ) => 25.54/3.93 ( ![Xp:( ( a > a ) > $o )]: 25.54/3.93 ( ( ( ![Xj:( a > a )]: 25.54/3.93 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 25.54/3.93 ( Xp @ Xf ) ) => 25.54/3.93 ( Xp @ ( ^[Xx:a]: ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ))). 25.54/3.93 thf(zf_stmt_0, negated_conjecture, 25.54/3.93 (~( ![Xf:( a > a ),Xg1:( a > a ),Xg2:( a > a )]: 25.54/3.93 ( ( ( ![Xp:( ( a > a ) > $o )]: 25.54/3.93 ( ( ( Xp @ Xf ) & 25.54/3.93 ( ![Xj:( a > a )]: 25.54/3.93 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 25.54/3.93 ( Xp @ Xg2 ) ) ) & 25.54/3.93 ( ![Xp:( ( a > a ) > $o )]: 25.54/3.93 ( ( ( Xp @ Xf ) & 25.54/3.93 ( ![Xj:( a > a )]: 25.54/3.93 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) ) => 25.54/3.93 ( Xp @ Xg1 ) ) ) ) => 25.54/3.93 ( ![Xp:( ( a > a ) > $o )]: 25.54/3.93 ( ( ( ![Xj:( a > a )]: 25.54/3.93 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 25.54/3.93 ( Xp @ Xf ) ) => 25.54/3.93 ( Xp @ ( ^[Xx:a]: ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ) )), 25.54/3.93 inference('cnf.neg', [status(esa)], [cTHM135D_pme])). 25.54/3.93 thf(zip_derived_cl2, plain, 25.54/3.93 (~ (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0))))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl4, plain, 25.54/3.93 (![X1 : (a > a) > $o]: 25.54/3.93 ( (X1 @ sk__3) 25.54/3.93 | ~ (X1 @ (^[Y0 : a]: (sk_ @ (sk__5 @ X1 @ Y0)))) 25.54/3.93 | ~ (X1 @ sk_))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl0, plain, 25.54/3.93 (![X0 : a > a]: 25.54/3.93 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl502, plain, 25.54/3.93 ((~ ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk_) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk__3) 25.54/3.93 | ~ (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__5 @ 25.54/3.93 ((^[Y1 : a,Y2 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y3 : a]: 25.54/3.93 (Y2 @ ((^[Y4 : a > a,Y5 : a]: (Y5)) @ Y2 @ Y3))))) @ 25.54/3.93 Y0) @ 25.54/3.93 ((^[Y1 : a]: (Y1)) @ Y0)))))), 25.54/3.93 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])). 25.54/3.93 thf(zip_derived_cl507, plain, 25.54/3.93 ((~ (sk__4 @ sk_) | (sk__4 @ sk__3) | ~ (sk__4 @ (sk__5 @ sk__4)))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl502])). 25.54/3.93 thf(zip_derived_cl1, plain, ( (sk__4 @ sk_)), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl508, plain, 25.54/3.93 (( (sk__4 @ sk__3) | ~ (sk__4 @ (sk__5 @ sk__4)))), 25.54/3.93 inference('demod', [status(thm)], [zip_derived_cl507, zip_derived_cl1])). 25.54/3.93 thf(zip_derived_cl1, plain, ( (sk__4 @ sk_)), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl3, plain, 25.54/3.93 (![X1 : (a > a) > $o]: 25.54/3.93 ( (X1 @ sk__3) | (X1 @ (sk__5 @ X1)) | ~ (X1 @ sk_))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl52, plain, 25.54/3.93 (( ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 (sk__5 @ 25.54/3.93 (^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 Y0))))) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk__3))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])). 25.54/3.93 thf(zip_derived_cl57, plain, 25.54/3.93 (( (sk__4 @ (sk__5 @ sk__4)) | (sk__4 @ sk__3))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl52])). 25.54/3.93 thf(zip_derived_cl515, plain, ( (sk__4 @ sk__3)), 25.54/3.93 inference('clc', [status(thm)], [zip_derived_cl508, zip_derived_cl57])). 25.54/3.93 thf(zip_derived_cl0, plain, 25.54/3.93 (![X0 : a > a]: 25.54/3.93 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl5, plain, 25.54/3.93 (![X2 : (a > a) > $o]: 25.54/3.93 ( (X2 @ sk__1) | (X2 @ (sk__2 @ X2)) | ~ (X2 @ sk_))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl190, plain, 25.54/3.93 (![X0 : (a > a) > a > a > a]: 25.54/3.93 (~ (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (X0 @ ((^[Y1 : a]: (sk_)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0) @ Y0))) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (X0 @ Y3 @ Y4 @ 25.54/3.93 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (X0 @ Y3 @ Y4 @ 25.54/3.93 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))))) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (X0 @ Y3 @ Y4 @ 25.54/3.93 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk__1))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])). 25.54/3.93 thf(zip_derived_cl192, plain, 25.54/3.93 (![X0 : (a > a) > a > a > a]: 25.54/3.93 (~ (sk__4 @ (^[Y0 : a]: (X0 @ sk_ @ Y0 @ Y0))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y2))))) @ 25.54/3.93 (X0 @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y2)))))) @ 25.54/3.93 Y0 @ Y0)))) 25.54/3.93 | (sk__4 @ (^[Y0 : a]: (sk__1 @ (X0 @ sk__1 @ Y0 @ Y0)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl190])). 25.54/3.93 thf(zip_derived_cl193, plain, 25.54/3.93 (![X0 : (a > a) > a > a]: 25.54/3.93 (~ (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk_ @ Y0 @ Y0))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a,Y5 : a]: (X0 @ Y3 @ Y5)) @ 25.54/3.93 Y1 @ Y2 @ Y2))))) @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a,Y5 : a]: (X0 @ Y3 @ Y5)) @ 25.54/3.93 Y1 @ Y2 @ Y2)))))) @ 25.54/3.93 Y0 @ Y0)))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__1 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk__1 @ 25.54/3.93 Y0 @ Y0)))))), 25.54/3.93 inference('prune_arg_fun', [status(thm)], [zip_derived_cl192])). 25.54/3.93 thf(zip_derived_cl194, plain, 25.54/3.93 (![X0 : (a > a) > a > a]: 25.54/3.93 (~ (sk__4 @ (X0 @ sk_)) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2))))) @ 25.54/3.93 (X0 @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ (^[Y2 : a]: (Y1 @ (X0 @ Y1 @ Y2)))))) @ 25.54/3.93 Y0)))) 25.54/3.93 | (sk__4 @ (^[Y0 : a]: (sk__1 @ (X0 @ sk__1 @ Y0)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl193])). 25.54/3.93 thf(zip_derived_cl2658, plain, 25.54/3.93 (( (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__1 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 sk__1 @ Y0)))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))))) @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2)))))) @ 25.54/3.93 Y0)))))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl194])). 25.54/3.93 thf(zip_derived_cl2673, plain, 25.54/3.93 (( (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0)))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 25.54/3.93 (sk__3 @ Y0)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl2658])). 25.54/3.93 thf(zip_derived_cl2, plain, 25.54/3.93 (~ (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0))))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl2674, plain, 25.54/3.93 ( (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 25.54/3.93 (sk__3 @ Y0))))), 25.54/3.93 inference('demod', [status(thm)], [zip_derived_cl2673, zip_derived_cl2])). 25.54/3.93 thf(zip_derived_cl0, plain, 25.54/3.93 (![X0 : a > a]: 25.54/3.93 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl5, plain, 25.54/3.93 (![X2 : (a > a) > $o]: 25.54/3.93 ( (X2 @ sk__1) | (X2 @ (sk__2 @ X2)) | ~ (X2 @ sk_))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl209, plain, 25.54/3.93 (![X0 : a > (a > a) > a, X1 : a > a]: 25.54/3.93 (~ (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y3 @ Y1)) @ 25.54/3.93 ((^[Y1 : a]: (sk_)) @ Y0) @ (X1 @ Y0) @ Y0))) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 ((^[Y5 : a > a,Y6 : a,Y7 : a]: (X0 @ Y7 @ Y5)) @ 25.54/3.93 Y3 @ Y4 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 ((^[Y5 : a > a,Y6 : a,Y7 : a]: (X0 @ Y7 @ Y5)) @ 25.54/3.93 Y3 @ Y4 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))))) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 ((^[Y5 : a > a,Y6 : a,Y7 : a]: (X0 @ Y7 @ Y5)) @ 25.54/3.93 Y3 @ Y4 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk__1))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])). 25.54/3.93 thf(zip_derived_cl211, plain, 25.54/3.93 (![X0 : a > (a > a) > a]: 25.54/3.93 (~ (sk__4 @ (^[Y0 : a]: (X0 @ Y0 @ sk_))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 (X0 @ Y0 @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ (^[Y2 : a]: (sk_ @ (X0 @ Y2 @ Y1)))))))))) 25.54/3.93 | (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0 @ sk__1)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl209])). 25.54/3.93 thf(zip_derived_cl3260, plain, 25.54/3.93 (( (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y1 : a,Y2 : a > a]: 25.54/3.93 (sk__2 @ 25.54/3.93 ((^[Y3 : a,Y4 : a > a,Y5 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y6 : a,Y7 : a > a,Y8 : a > a,Y9 : a]: 25.54/3.93 (Y8 @ 25.54/3.93 ((^[Y10 : a,Y11 : a > a,Y12 : a > a,Y13 : a]: 25.54/3.93 (sk__3 @ 25.54/3.93 ((^[Y14 : a,Y15 : a > a,Y16 : a > a,Y17 : a]: 25.54/3.93 (Y17)) @ 25.54/3.93 Y10 @ Y11 @ Y12 @ Y13))) @ 25.54/3.93 Y6 @ Y7 @ Y8 @ Y9))) @ 25.54/3.93 Y3 @ Y4 @ Y5))) @ 25.54/3.93 Y1 @ Y2) @ 25.54/3.93 ((^[Y3 : a,Y4 : a > a]: 25.54/3.93 (sk__3 @ ((^[Y5 : a,Y6 : a > a]: (Y5)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0 @ sk__1)))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y1 : a,Y2 : a > a]: 25.54/3.93 (sk__2 @ 25.54/3.93 ((^[Y3 : a,Y4 : a > a,Y5 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y6 : a,Y7 : a > a,Y8 : a > a,Y9 : a]: 25.54/3.93 (Y8 @ 25.54/3.93 ((^[Y10 : a,Y11 : a > a,Y12 : a > a,Y13 : a]: 25.54/3.93 (sk__3 @ 25.54/3.93 ((^[Y14 : a,Y15 : a > a,Y16 : a > a,Y17 : a]: 25.54/3.93 (Y17)) @ 25.54/3.93 Y10 @ Y11 @ Y12 @ Y13))) @ 25.54/3.93 Y6 @ Y7 @ Y8 @ Y9))) @ 25.54/3.93 Y3 @ Y4 @ Y5))) @ 25.54/3.93 Y1 @ Y2) @ 25.54/3.93 ((^[Y3 : a,Y4 : a > a]: 25.54/3.93 (sk__3 @ ((^[Y5 : a,Y6 : a > a]: (Y5)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0 @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a,Y4 : a > a]: 25.54/3.93 (sk__2 @ 25.54/3.93 ((^[Y5 : a,Y6 : a > a,Y7 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y8 : a,Y9 : a > a,Y10 : a > a,Y11 : a]: 25.54/3.93 (Y10 @ 25.54/3.93 ((^[Y12 : a,Y13 : a > a,Y14 : a > a, 25.54/3.93 Y15 : a]: 25.54/3.93 (sk__3 @ 25.54/3.93 ((^[Y16 : a,Y17 : a > a, 25.54/3.93 Y18 : a > a,Y19 : a]: 25.54/3.93 (Y19)) @ 25.54/3.93 Y12 @ Y13 @ Y14 @ Y15))) @ 25.54/3.93 Y8 @ Y9 @ Y10 @ Y11))) @ 25.54/3.93 Y5 @ Y6 @ Y7))) @ 25.54/3.93 Y3 @ Y4) @ 25.54/3.93 ((^[Y5 : a,Y6 : a > a]: 25.54/3.93 (sk__3 @ 25.54/3.93 ((^[Y7 : a,Y8 : a > a]: (Y7)) @ Y5 @ Y6))) @ 25.54/3.93 Y3 @ Y4))) @ 25.54/3.93 Y2 @ Y1)))))))))))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl2674, zip_derived_cl211])). 25.54/3.93 thf(zip_derived_cl3283, plain, 25.54/3.93 (( (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 25.54/3.93 (sk__3 @ Y0))))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 25.54/3.93 (sk__3 @ Y0))))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl3260])). 25.54/3.93 thf(zip_derived_cl3284, plain, 25.54/3.93 ( (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: (sk__4 @ (^[Y2 : a]: (Y1 @ (sk__3 @ Y2))))) @ 25.54/3.93 (sk__3 @ Y0)))))), 25.54/3.93 inference('simplify', [status(thm)], [zip_derived_cl3283])). 25.54/3.93 thf(zip_derived_cl6, plain, 25.54/3.93 (![X2 : (a > a) > $o]: 25.54/3.93 ( (X2 @ sk__1) 25.54/3.93 | ~ (X2 @ (^[Y0 : a]: (sk_ @ (sk__2 @ X2 @ Y0)))) 25.54/3.93 | ~ (X2 @ sk_))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl3376, plain, 25.54/3.93 ((~ ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk_) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (Y1 @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk__1))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl3284, zip_derived_cl6])). 25.54/3.93 thf(zip_derived_cl3385, plain, 25.54/3.93 ((~ (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0)))) 25.54/3.93 | (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl3376])). 25.54/3.93 thf(zip_derived_cl515, plain, ( (sk__4 @ sk__3)), 25.54/3.93 inference('clc', [status(thm)], [zip_derived_cl508, zip_derived_cl57])). 25.54/3.93 thf(zip_derived_cl0, plain, 25.54/3.93 (![X0 : a > a]: 25.54/3.93 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ Y0)))) | ~ (sk__4 @ X0))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl5, plain, 25.54/3.93 (![X2 : (a > a) > $o]: 25.54/3.93 ( (X2 @ sk__1) | (X2 @ (sk__2 @ X2)) | ~ (X2 @ sk_))), 25.54/3.93 inference('cnf', [status(esa)], [zf_stmt_0])). 25.54/3.93 thf(zip_derived_cl161, plain, 25.54/3.93 (![X0 : (a > a) > a > a > a]: 25.54/3.93 (~ (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (X0 @ ((^[Y1 : a]: (sk_)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0) @ Y0))) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (X0 @ Y3 @ Y4 @ 25.54/3.93 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (X0 @ Y3 @ Y4 @ 25.54/3.93 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))))) 25.54/3.93 | ((^[Y0 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (X0 @ Y3 @ Y4 @ 25.54/3.93 ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2))) @ 25.54/3.93 Y0))) @ 25.54/3.93 sk__1))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])). 25.54/3.93 thf(zip_derived_cl183, plain, 25.54/3.93 (![X0 : (a > a) > a > a > a]: 25.54/3.93 (~ (sk__4 @ (^[Y0 : a]: (X0 @ sk_ @ Y0 @ Y0))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 (X0 @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ (^[Y2 : a]: (sk_ @ (X0 @ Y1 @ Y2 @ Y2)))))) @ 25.54/3.93 Y0 @ Y0)))) 25.54/3.93 | (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ sk__1 @ Y0 @ Y0)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl161])). 25.54/3.93 thf(zip_derived_cl184, plain, 25.54/3.93 (![X0 : (a > a) > a > a]: 25.54/3.93 (~ (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk_ @ Y0 @ Y0))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a,Y5 : a]: (X0 @ Y3 @ Y5)) @ 25.54/3.93 Y1 @ Y2 @ Y2)))))) @ 25.54/3.93 Y0 @ Y0)))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a,Y3 : a]: (X0 @ Y1 @ Y3)) @ sk__1 @ 25.54/3.93 Y0 @ Y0)))))), 25.54/3.93 inference('prune_arg_fun', [status(thm)], [zip_derived_cl183])). 25.54/3.93 thf(zip_derived_cl185, plain, 25.54/3.93 (![X0 : (a > a) > a > a]: 25.54/3.93 (~ (sk__4 @ (X0 @ sk_)) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 (X0 @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ (^[Y2 : a]: (sk_ @ (X0 @ Y1 @ Y2)))))) @ 25.54/3.93 Y0)))) 25.54/3.93 | (sk__4 @ (^[Y0 : a]: (sk_ @ (X0 @ sk__1 @ Y0)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl184])). 25.54/3.93 thf(zip_derived_cl2120, plain, 25.54/3.93 (( (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 sk__1 @ Y0)))) 25.54/3.93 | (sk__4 @ 25.54/3.93 (^[Y0 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y1 : a > a,Y2 : a]: 25.54/3.93 (sk__3 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 25.54/3.93 (sk__2 @ 25.54/3.93 (^[Y1 : a > a]: 25.54/3.93 (sk__4 @ 25.54/3.93 (^[Y2 : a]: 25.54/3.93 (sk_ @ 25.54/3.93 ((^[Y3 : a > a,Y4 : a]: 25.54/3.93 (sk__3 @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 25.54/3.93 Y1 @ Y2)))))) @ 25.54/3.93 Y0)))))), 25.54/3.93 inference('sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl185])). 25.54/3.93 thf(zip_derived_cl2130, plain, 25.54/3.93 (( (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0)))) 25.54/3.93 | (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0)))))), 25.54/3.93 inference('ho_norm', [status(thm)], [zip_derived_cl2120])). 25.54/3.93 thf(zip_derived_cl2131, plain, 25.54/3.93 ( (sk__4 @ (^[Y0 : a]: (sk_ @ (sk__3 @ Y0))))), 25.54/3.93 inference('simplify', [status(thm)], [zip_derived_cl2130])). 25.54/3.93 thf(zip_derived_cl3386, plain, 25.54/3.93 ( (sk__4 @ (^[Y0 : a]: (sk__1 @ (sk__3 @ Y0))))), 25.54/3.93 inference('demod', [status(thm)], 25.54/3.93 [zip_derived_cl3385, zip_derived_cl2131])). 25.54/3.93 thf(zip_derived_cl3395, plain, ($false), 25.54/3.93 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3386])). 25.54/3.93 25.54/3.93 % SZS output end Refutation 25.54/3.93 25.54/3.93 25.54/3.93 % Terminating... 26.25/4.01 % Runner terminated. 26.25/4.03 % Zipperpin 1.5 exiting 26.25/4.03 EOF