0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tpEfbjYXfM true 0.18/0.42 % Computer : n022.cluster.edu 0.18/0.42 % Model : x86_64 x86_64 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.42 % Memory : 8046.5625MB 0.18/0.42 % OS : Linux 6.8.0-71-generic 0.18/0.42 % CPULimit : 1440 0.18/0.42 % WCLimit : 180 0.18/0.42 % DateTime : Mon Jul 27 14:02:28 UTC 2026 0.18/0.43 % CPUTime : 0.18/0.43 % Running portfolio for 1440 s 0.18/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.18/0.43 % Number of cores: 8 0.18/0.44 % Python version: Python 3.12.3 0.18/0.44 % Running in HO mode 0.41/0.78 % Total configuration time : 828 0.41/0.78 % Estimated wc time : 1656 0.41/0.78 % Estimated cpu time (8 cpus) : 207.0 0.43/0.90 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.43/0.95 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.43/1.00 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.43/1.00 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.43/1.00 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.43/1.00 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.43/1.00 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.43/1.00 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 184.76/31.05 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 184.76/31.14 % Solved by lams/40_c_ic.sh. 184.76/31.14 % done 126 iterations in 30.075s 184.76/31.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 184.76/31.14 % SZS output start Refutation 184.76/31.14 thf(a_type, type, a: $tType). 184.76/31.14 thf(sk__7_type, type, sk__7: a). 184.76/31.14 thf('#l_lift17615_type', type, '#l_lift17615': a > a > a). 184.76/31.14 thf('#l_lift17617_type', type, '#l_lift17617': a > (a > a > a) > a). 184.76/31.14 thf(sk__5_type, type, sk__5: a). 184.76/31.14 thf('#l_lift17625_type', type, '#l_lift17625': a > (a > a > a) > a). 184.76/31.14 thf(sk__type, type, sk_: ((a > a > a) > a) > a > a > a). 184.76/31.14 thf(zip_tseitin_0_type, type, zip_tseitin_0: a > a > a > a > $o). 184.76/31.14 thf(sk__1_type, type, sk__1: ((a > a > a) > a) > a > a > a). 184.76/31.14 thf('#l_lift17614_type', type, '#l_lift17614': a > a > a). 184.76/31.14 thf(sk__2_type, type, sk__2: a > a > a > a > $o). 184.76/31.14 thf(sk__8_type, type, sk__8: a). 184.76/31.14 thf(sk__4_type, type, sk__4: (a > a > a) > a). 184.76/31.14 thf(sk__6_type, type, sk__6: a). 184.76/31.14 thf('#l_lift17633_type', type, '#l_lift17633': a > (a > a > a) > a). 184.76/31.14 thf(sk__3_type, type, sk__3: (a > a > a) > a). 184.76/31.14 thf('#l_lift17618_type', type, '#l_lift17618': a > (a > a > a) > a). 184.76/31.14 thf(zip_tseitin_1_type, type, zip_tseitin_1: ((a > a > a) > a) > 184.76/31.14 ((a > a > a) > a) > 184.76/31.14 (a > a > a > a > $o) > $o). 184.76/31.14 thf('#l_lift17621_type', type, '#l_lift17621': a > ((a > a > a) > a) > 184.76/31.14 (a > a > a) > a). 184.76/31.14 thf(cTHM190_pme, conjecture, 184.76/31.14 (![Xr:( a > a > a > a > $o )]: 184.76/31.14 ( ( ![Xx1:a,Xy1:a,Xx2:a,Xy2:a]: 184.76/31.14 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 ) => 184.76/31.14 ( ( ( Xx1 ) = ( Xx2 ) ) & ( ( Xy1 ) = ( Xy2 ) ) ) ) ) <=> 184.76/31.14 ( ![Xp:( ( a > a > a ) > a ),Xq:( ( a > a > a ) > a )]: 184.76/31.14 ( ( ( ![Xg:( a > a > a )]: 184.76/31.14 ( ( Xp @ Xg ) = 184.76/31.14 ( Xg @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) & 184.76/31.14 ( ![Xg:( a > a > a )]: 184.76/31.14 ( ( Xq @ Xg ) = 184.76/31.14 ( Xg @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) & 184.76/31.14 ( Xr @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) => 184.76/31.14 ( ( Xp ) = ( Xq ) ) ) ) ))). 184.76/31.14 thf(zf_stmt_0, type, zip_tseitin_1 : 184.76/31.14 ( ( a > a > a ) > a ) > ( ( a > a > a ) > a ) > ( a > a > a > a > $o ) > 184.76/31.14 $o). 184.76/31.14 thf(zf_stmt_1, axiom, 184.76/31.14 (![Xq:( ( a > a > a ) > a ),Xp:( ( a > a > a ) > a ), 184.76/31.14 Xr:( a > a > a > a > $o )]: 184.76/31.14 ( ( zip_tseitin_1 @ Xq @ Xp @ Xr ) <=> 184.76/31.14 ( ( Xr @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) & 184.76/31.14 ( ![Xg:( a > a > a )]: 184.76/31.14 ( ( Xq @ Xg ) = 184.76/31.14 ( Xg @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) & 184.76/31.14 ( ![Xg:( a > a > a )]: 184.76/31.14 ( ( Xp @ Xg ) = 184.76/31.14 ( Xg @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @ 184.76/31.14 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) ) ))). 184.76/31.14 thf(zf_stmt_2, type, zip_tseitin_0 : a > a > a > a > $o). 184.76/31.14 thf(zf_stmt_3, axiom, 184.76/31.14 (![Xy2:a,Xx2:a,Xy1:a,Xx1:a]: 184.76/31.14 ( ( zip_tseitin_0 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) <=> 184.76/31.14 ( ( ( Xy1 ) = ( Xy2 ) ) & ( ( Xx1 ) = ( Xx2 ) ) ) ))). 184.76/31.14 thf(zf_stmt_4, conjecture, 184.76/31.14 (![Xr:( a > a > a > a > $o )]: 184.76/31.14 ( ( ![Xx1:a,Xy1:a,Xx2:a,Xy2:a]: 184.76/31.14 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 ) => 184.76/31.14 ( zip_tseitin_0 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) ) ) <=> 184.76/31.14 ( ![Xp:( ( a > a > a ) > a ),Xq:( ( a > a > a ) > a )]: 184.76/31.14 ( ( zip_tseitin_1 @ Xq @ Xp @ Xr ) => ( ( Xp ) = ( Xq ) ) ) ) ))). 184.76/31.14 thf(zf_stmt_5, negated_conjecture, 184.76/31.14 (~( ![Xr:( a > a > a > a > $o )]: 184.76/31.14 ( ( ![Xx1:a,Xy1:a,Xx2:a,Xy2:a]: 184.76/31.14 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 ) => 184.76/31.14 ( zip_tseitin_0 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) ) ) <=> 184.76/31.14 ( ![Xp:( ( a > a > a ) > a ),Xq:( ( a > a > a ) > a )]: 184.76/31.14 ( ( zip_tseitin_1 @ Xq @ Xp @ Xr ) => ( ( Xp ) = ( Xq ) ) ) ) ) )), 184.76/31.14 inference('cnf.neg', [status(esa)], [zf_stmt_4])). 184.76/31.14 thf(zip_derived_cl8, plain, 184.76/31.14 ((((sk__3) != (sk__4)) 184.76/31.14 | ~ (zip_tseitin_0 @ sk__8 @ sk__7 @ sk__6 @ sk__5))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_5])). 184.76/31.14 thf(zip_derived_cl2, plain, 184.76/31.14 (![X0 : a, X1 : a, X2 : a, X3 : a]: 184.76/31.14 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) 184.76/31.14 | ((X3) != (X1)) 184.76/31.14 | ((X2) != (X0)))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_3])). 184.76/31.14 thf(zip_derived_cl10, plain, 184.76/31.14 (( (zip_tseitin_1 @ sk__4 @ sk__3 @ sk__2) 184.76/31.14 | ~ (zip_tseitin_0 @ sk__8 @ sk__7 @ sk__6 @ sk__5))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_5])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl2688, plain, 184.76/31.14 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.14 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl256, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 ( ((^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: (X0)) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X4)) @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X4)) @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: 184.76/31.14 (Y0 @ 184.76/31.14 ((^[Y1 : a > a > a]: 184.76/31.14 (Y1 @ ((^[Y2 : a > a > a]: (X4)) @ Y1) @ (X3 @ Y1))) @ 184.76/31.14 Y0) @ 184.76/31.14 ((^[Y1 : a > a > a]: (X2)) @ Y0))) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y5)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y4)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a,Y9 : a,Y10 : a, 184.76/31.14 Y11 : a]: 184.76/31.14 (X0)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3)))))), 184.76/31.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])). 184.76/31.14 thf(zip_derived_cl264, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 ( (X0) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: (Y0 @ (Y0 @ X4 @ (X3 @ Y0)) @ X2)) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl256])). 184.76/31.14 thf(zip_derived_cl2758, plain, 184.76/31.14 (![X8 : a, X9 : a > a > a]: (('#l_lift17633' @ X8 @ X9) = (X8))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl4, plain, 184.76/31.14 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a, 184.76/31.14 X3 : a > a > a > a > $o]: 184.76/31.14 (((X1 @ X0) 184.76/31.14 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))))) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ X2 @ X3))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl221, plain, 184.76/31.14 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, 184.76/31.14 X4 : a > a > a]: 184.76/31.14 (~ (zip_tseitin_1 @ X2 @ 184.76/31.14 (^[Y0 : a > a > a]: 184.76/31.14 (Y0 @ ((^[Y1 : a > a > a]: (X1)) @ Y0) @ (X3 @ Y0))) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y4)) @ Y0 @ 184.76/31.14 Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y4)) @ Y0 @ 184.76/31.14 Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a,Y9 : a,Y10 : a,Y11 : a]: 184.76/31.14 (X0)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3)))) 184.76/31.14 | (((^[Y0 : a > a > a]: (X1)) @ X4) 184.76/31.14 = (X4 @ ((^[Y0 : a > a > a]: (X1)) @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X1)) @ (^[Y0 : a,Y1 : a]: (Y1))))))), 184.76/31.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])). 184.76/31.14 thf(zip_derived_cl227, plain, 184.76/31.14 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, 184.76/31.14 X4 : a > a > a]: 184.76/31.14 (~ (zip_tseitin_1 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))) 184.76/31.14 | ((X1) = (X4 @ X1 @ X1)))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl221])). 184.76/31.14 thf(zip_derived_cl228, plain, 184.76/31.14 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 (~ (zip_tseitin_1 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))) 184.76/31.14 | ((X1) = ((^[Y0 : a,Y1 : a]: (X4)) @ X1 @ X1)))), 184.76/31.14 inference('prune_arg_fun', [status(thm)], [zip_derived_cl227])). 184.76/31.14 thf(zip_derived_cl229, plain, 184.76/31.14 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 (~ (zip_tseitin_1 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))) 184.76/31.14 | ((X1) = (X4)))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl228])). 184.76/31.14 thf(zip_derived_cl2700, plain, 184.76/31.14 (![X1 : a, X3 : (a > a > a) > a, X5 : a > a > a]: 184.76/31.14 (('#l_lift17621' @ X1 @ X3 @ X5) = (X5 @ X1 @ (X3 @ X5)))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl6, plain, 184.76/31.14 (![X0 : (a > a > a) > a, X1 : (a > a > a) > a, X2 : a > a > a > a > $o]: 184.76/31.14 ( (zip_tseitin_1 @ X0 @ X1 @ X2) 184.76/31.14 | ((X1 @ (sk_ @ X1)) 184.76/31.14 != (sk_ @ X1 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))))) 184.76/31.14 | ((X0 @ (sk__1 @ X0)) 184.76/31.14 != (sk__1 @ X0 @ (X0 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X0 @ (^[Y0 : a,Y1 : a]: (Y1))))) 184.76/31.14 | ~ (X2 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X0 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X0 @ (^[Y0 : a,Y1 : a]: (Y1)))))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.14 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2688, plain, 184.76/31.14 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.14 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2688, plain, 184.76/31.14 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.14 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2688, plain, 184.76/31.14 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.14 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2688, plain, 184.76/31.14 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2692, plain, 184.76/31.14 (![X0 : (a > a > a) > a, X1 : (a > a > a) > a, X2 : a > a > a > a > $o]: 184.76/31.14 ( (zip_tseitin_1 @ X0 @ X1 @ X2) 184.76/31.14 | ((X1 @ (sk_ @ X1)) 184.76/31.14 != (sk_ @ X1 @ (X1 @ '#l_lift17614') @ (X1 @ '#l_lift17615'))) 184.76/31.14 | ((X0 @ (sk__1 @ X0)) 184.76/31.14 != (sk__1 @ X0 @ (X0 @ '#l_lift17614') @ (X0 @ '#l_lift17615'))) 184.76/31.14 | ~ (X2 @ (X1 @ '#l_lift17614') @ (X1 @ '#l_lift17615') @ 184.76/31.14 (X0 @ '#l_lift17614') @ (X0 @ '#l_lift17615')))), 184.76/31.14 inference('lambda_lifting', [status(thm)], 184.76/31.14 [zip_derived_cl6, zip_derived_cl2687, zip_derived_cl2688, 184.76/31.14 zip_derived_cl2687, zip_derived_cl2688, zip_derived_cl2687, 184.76/31.14 zip_derived_cl2688, zip_derived_cl2687, zip_derived_cl2688])). 184.76/31.14 thf(zip_derived_cl4, plain, 184.76/31.14 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a, 184.76/31.14 X3 : a > a > a > a > $o]: 184.76/31.14 (((X1 @ X0) 184.76/31.14 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))))) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ X2 @ X3))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.14 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2688, plain, 184.76/31.14 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2690, plain, 184.76/31.14 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a, 184.76/31.14 X3 : a > a > a > a > $o]: 184.76/31.14 (((X1 @ X0) = (X0 @ (X1 @ '#l_lift17614') @ (X1 @ '#l_lift17615'))) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ X2 @ X3))), 184.76/31.14 inference('lambda_lifting', [status(thm)], 184.76/31.14 [zip_derived_cl4, zip_derived_cl2687, zip_derived_cl2688])). 184.76/31.14 thf(zip_derived_cl264, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 ( (X0) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: (Y0 @ (Y0 @ X4 @ (X3 @ Y0)) @ X2)) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y0)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl256])). 184.76/31.14 thf(zip_derived_cl5, plain, 184.76/31.14 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a, 184.76/31.14 X3 : a > a > a > a > $o]: 184.76/31.14 (((X1 @ X0) 184.76/31.14 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X3))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl462, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, 184.76/31.14 X4 : a > a > a]: 184.76/31.14 ((((^[Y0 : a > a > a]: (X2)) @ X4) 184.76/31.14 = (X4 @ ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y1))))) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: 184.76/31.14 (Y0 @ (X3 @ Y0) @ ((^[Y1 : a > a > a]: (X2)) @ Y0))) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y5)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y5)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a,Y9 : a,Y10 : a, 184.76/31.14 Y11 : a]: 184.76/31.14 (X0)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3)))))), 184.76/31.14 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])). 184.76/31.14 thf(zip_derived_cl473, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, 184.76/31.14 X4 : a > a > a]: 184.76/31.14 (((X2) = (X4 @ X2 @ X2)) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: (Y0 @ (X3 @ Y0) @ X2)) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl462])). 184.76/31.14 thf(zip_derived_cl474, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 (((X2) = ((^[Y0 : a,Y1 : a]: (X4)) @ X2 @ X2)) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: (Y0 @ (X3 @ Y0) @ X2)) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))), 184.76/31.14 inference('prune_arg_fun', [status(thm)], [zip_derived_cl473])). 184.76/31.14 thf(zip_derived_cl475, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 (((X2) = (X4)) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: (Y0 @ (X3 @ Y0) @ X2)) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl474])). 184.76/31.14 thf(zip_derived_cl2694, plain, 184.76/31.14 (![X6 : a, X7 : a > a > a]: (('#l_lift17617' @ X6 @ X7) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2761, plain, 184.76/31.14 (![X0 : a]: (('#l_lift17633' @ X0) = ('#l_lift17617' @ X0))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl1, plain, 184.76/31.14 (![X0 : a, X1 : a, X2 : a, X3 : a]: 184.76/31.14 (((X1) = (X0)) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X1))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_3])). 184.76/31.14 thf(zip_derived_cl475, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a, X4 : a]: 184.76/31.14 (((X2) = (X4)) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: (Y0 @ (X3 @ Y0) @ X2)) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl474])). 184.76/31.14 thf(zip_derived_cl2694, plain, 184.76/31.14 (![X6 : a, X7 : a > a > a]: (('#l_lift17617' @ X6 @ X7) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2696, plain, 184.76/31.14 (![X0 : a]: (('#l_lift17618' @ X0) = ('#l_lift17617' @ X0))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl207, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a]: 184.76/31.14 ( ((^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: (X0)) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: 184.76/31.14 (Y0 @ (X3 @ Y0) @ ((^[Y1 : a > a > a]: (X2)) @ Y0))) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y5)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y5)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3) @ 184.76/31.14 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a,Y9 : a,Y10 : a, 184.76/31.14 Y11 : a]: 184.76/31.14 (X0)) @ 184.76/31.14 Y0 @ Y1 @ Y2 @ Y3)))))), 184.76/31.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])). 184.76/31.14 thf(zip_derived_cl213, plain, 184.76/31.14 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a]: 184.76/31.14 ( (X0) 184.76/31.14 | ~ (zip_tseitin_1 @ X1 @ 184.76/31.14 (^[Y0 : a > a > a]: (Y0 @ (X3 @ Y0) @ X2)) @ 184.76/31.14 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: 184.76/31.14 (zip_tseitin_1 @ (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a > a > a]: (Y1)) @ 184.76/31.14 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))), 184.76/31.14 inference('ho_norm', [status(thm)], [zip_derived_cl207])). 184.76/31.14 thf(zip_derived_cl2694, plain, 184.76/31.14 (![X6 : a, X7 : a > a > a]: (('#l_lift17617' @ X6 @ X7) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2711, plain, 184.76/31.14 (![X0 : a]: (('#l_lift17625' @ X0) = ('#l_lift17617' @ X0))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl9, plain, 184.76/31.14 ((((sk__3) != (sk__4)) | (sk__2 @ sk__5 @ sk__6 @ sk__7 @ sk__8))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_5])). 184.76/31.14 thf(zip_derived_cl11, plain, 184.76/31.14 (( (zip_tseitin_1 @ sk__4 @ sk__3 @ sk__2) 184.76/31.14 | (sk__2 @ sk__5 @ sk__6 @ sk__7 @ sk__8))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_5])). 184.76/31.14 thf(zip_derived_cl0, plain, 184.76/31.14 (![X0 : a, X1 : a, X2 : a, X3 : a]: 184.76/31.14 (((X1) = (X0)) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1 @ X3))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_3])). 184.76/31.14 thf(zip_derived_cl5, plain, 184.76/31.14 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a, 184.76/31.14 X3 : a > a > a > a > $o]: 184.76/31.14 (((X1 @ X0) 184.76/31.14 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X3))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.14 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2688, plain, 184.76/31.14 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.14 define([status(thm)])). 184.76/31.14 thf(zip_derived_cl2691, plain, 184.76/31.14 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a, 184.76/31.14 X3 : a > a > a > a > $o]: 184.76/31.14 (((X1 @ X0) = (X0 @ (X1 @ '#l_lift17614') @ (X1 @ '#l_lift17615'))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X3))), 184.76/31.14 inference('lambda_lifting', [status(thm)], 184.76/31.14 [zip_derived_cl5, zip_derived_cl2687, zip_derived_cl2688])). 184.76/31.14 thf(zip_derived_cl3, plain, 184.76/31.14 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.14 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @ 184.76/31.14 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @ 184.76/31.14 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1)))) 184.76/31.14 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.14 inference('cnf', [status(esa)], [zf_stmt_1])). 184.76/31.14 thf(zip_derived_cl2687, plain, 184.76/31.15 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.15 define([status(thm)])). 184.76/31.15 thf(zip_derived_cl2688, plain, 184.76/31.15 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.15 define([status(thm)])). 184.76/31.15 thf(zip_derived_cl2687, plain, 184.76/31.15 (![X3 : a, X4 : a]: (('#l_lift17614' @ X3 @ X4) = (X3))), 184.76/31.15 define([status(thm)])). 184.76/31.15 thf(zip_derived_cl2688, plain, 184.76/31.15 (![X5 : a, X6 : a]: (('#l_lift17615' @ X5 @ X6) = (X6))), 184.76/31.15 define([status(thm)])). 184.76/31.15 thf(zip_derived_cl2689, plain, 184.76/31.15 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]: 184.76/31.15 ( (X0 @ (X1 @ '#l_lift17614') @ (X1 @ '#l_lift17615') @ 184.76/31.15 (X2 @ '#l_lift17614') @ (X2 @ '#l_lift17615')) 184.76/31.15 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0))), 184.76/31.15 inference('lambda_lifting', [status(thm)], 184.76/31.15 [zip_derived_cl3, zip_derived_cl2687, zip_derived_cl2688, 184.76/31.15 zip_derived_cl2687, zip_derived_cl2688])). 184.76/31.15 thf(zip_derived_cl7, plain, 184.76/31.15 (![X0 : (a > a > a) > a, X1 : (a > a > a) > a, X2 : a, X3 : a, X4 : a, 184.76/31.15 X5 : a]: 184.76/31.15 (~ (zip_tseitin_1 @ X0 @ X1 @ sk__2) 184.76/31.15 | ((X1) = (X0)) 184.76/31.15 | ~ (sk__2 @ X2 @ X3 @ X4 @ X5) 184.76/31.15 | (zip_tseitin_0 @ X5 @ X4 @ X3 @ X2))), 184.76/31.15 inference('cnf', [status(esa)], [zf_stmt_5])). 184.76/31.15 thf(zip_derived_cl2824, plain, ($false), 184.76/31.15 inference('eprover', [status(thm)], 184.76/31.15 [zip_derived_cl8, zip_derived_cl2, zip_derived_cl10, 184.76/31.15 zip_derived_cl2688, zip_derived_cl2687, zip_derived_cl2758, 184.76/31.15 zip_derived_cl2700, zip_derived_cl2692, zip_derived_cl2690, 184.76/31.15 zip_derived_cl2761, zip_derived_cl1, zip_derived_cl2696, 184.76/31.15 zip_derived_cl2711, zip_derived_cl9, zip_derived_cl11, 184.76/31.15 zip_derived_cl0, zip_derived_cl2691, zip_derived_cl2689, 184.76/31.15 zip_derived_cl7])). 184.76/31.15 184.76/31.15 % SZS output end Refutation 184.76/31.15 184.76/31.15 184.76/31.15 % Terminating... 215.13/31.19 % Runner terminated. 215.13/31.22 % Zipperpin 1.5 exiting 215.13/31.23 EOF