0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.wk5FF9bPsw
0.13/0.34	% Computer   : n015.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1200
0.13/0.34	% DateTime   : Tue Jul 13 13:42:20 EDT 2021
0.13/0.34	% CPUTime    : 
0.13/0.34	% Running portfolio for 120 s
0.13/0.34	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.13/0.34	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.20/0.35	% Running in HO mode
0.53/0.66	% Estimated wc time : 1286
0.53/0.66	% Estimated cpu time (7 cpus) : 183.71428571428572
0.55/0.71	% /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s
0.55/0.73	% /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.55/0.73	% /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s
32.49/5.22	% Solved by lams/c.easy.sh.
32.49/5.22	% Running : timeout 10 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.wk5FF9bPsw/e_inputd6de22 --cpu-limit=8 --auto -s -p.
32.49/5.22	% done 474 iterations in 4.436s
32.49/5.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
32.49/5.22	% SZS output start Refutation
32.49/5.22	tff(transitive_closure, axiom, tc() =
32.49/5.22	  ^[R:(($i * $i) > $o),X,Y]:
32.49/5.22	    (![S:(($i * $i) > $o)]: ((trans(S) & subrel(R,S)) => S(X,Y)))).
32.49/5.22	tff(transitive, axiom, trans() =
32.49/5.22	  ^[R:(($i * $i) > $o)]: (![X,Y,Z]: ((R(X,Y) & R(Y,Z)) => R(X,Z)))).
32.49/5.22	tff('0', plain,
32.49/5.22	    trans =
32.49/5.22	    (^[R:(($i * $i) > $o)]: (![X,Y,Z]: ((R(X,Y) & R(Y,Z)) => R(X,Z)))),
32.49/5.22	    inference('simplify_rw_rule', [status(thm)], [transitive])).
32.49/5.22	tff('1', plain,
32.49/5.22	    trans =
32.49/5.22	    (^[V_1:(($i * $i) > $o)]:
32.49/5.22	       (![X4,X6,X8]: ((V_1(X4,X6) & V_1(X6,X8)) => V_1(X4,X8)))),
32.49/5.22	    define([status(thm)])).
32.49/5.22	tff(subrel, axiom, subrel() =
32.49/5.22	  ^[R:(($i * $i) > $o),S:(($i * $i) > $o)]: (![X,Y]: (R(X,Y) => S(X,Y)))).
32.49/5.22	tff('2', plain,
32.49/5.22	    subrel =
32.49/5.22	    (^[R:(($i * $i) > $o),S:(($i * $i) > $o)]: (![X,Y]: (R(X,Y) => S(X,Y)))),
32.49/5.22	    inference('simplify_rw_rule', [status(thm)], [subrel])).
32.49/5.22	tff('3', plain,
32.49/5.22	    subrel =
32.49/5.22	    (^[V_1:(($i * $i) > $o),V_2:(($i * $i) > $o)]:
32.49/5.22	       (![X4,X6]: (V_1(X4,X6) => V_2(X4,X6)))),
32.49/5.22	    define([status(thm)])).
32.49/5.22	tff('4', plain,
32.49/5.22	    tc =
32.49/5.22	    (^[R:(($i * $i) > $o),X,Y]:
32.49/5.22	       (![S:(($i * $i) > $o)]: ((trans(S) & subrel(R,S)) => S(X,Y)))),
32.49/5.22	    inference('simplify_rw_rule', [status(thm)],
32.49/5.22	              [transitive_closure, '1', '3'])).
32.49/5.22	tff('5', plain,
32.49/5.22	    tc =
32.49/5.22	    (^[V_1:(($i * $i) > $o),V_2,V_3]:
32.49/5.22	       (![X4:(($i * $i) > $o)]: ((trans(X4) & subrel(V_1,X4)) => X4(V_2,V_3)))),
32.49/5.22	    define([status(thm)])).
32.49/5.22	tff(idempotent, axiom, idem() =
32.49/5.22	  ^[F:((($i * $i) > $o * $i * $i) > $o)]:
32.49/5.22	    (![R:(($i * $i) > $o)]: (F(F(R)) = F(R)))).
32.49/5.22	tff('6', plain,
32.49/5.22	    idem =
32.49/5.22	    (^[F:((($i * $i) > $o * $i * $i) > $o)]:
32.49/5.22	       (![R:(($i * $i) > $o)]: (F(F(R)) = F(R)))),
32.49/5.22	    inference('simplify_rw_rule', [status(thm)], [idempotent])).
32.49/5.22	tff('7', plain,
32.49/5.22	    idem =
32.49/5.22	    (^[V_1:((($i * $i) > $o * $i * $i) > $o)]:
32.49/5.22	       (![X4:(($i * $i) > $o)]: (V_1(V_1(X4)) = V_1(X4)))),
32.49/5.22	    define([status(thm)])).
32.49/5.22	tff(transitive_closure_op_is_idempotent, conjecture, (idem(tc))).
32.49/5.22	tff(zf_stmt_0, conjecture,
32.49/5.22	  (![X4:(($i * $i) > $o),V_3,V_4]:
32.49/5.22	     ((![X6:(($i * $i) > $o)]:
32.49/5.22	         (((![X14,X16]:
32.49/5.22	              ((![X18:(($i * $i) > $o)]:
32.49/5.22	                  (((![X26,X28]: (X4(X26,X28) => X18(X26,X28))) & 
32.49/5.22	                    (![X20,X22,X24]:
32.49/5.22	                       ((X18(X22,X24) & X18(X20,X22)) => X18(X20,X24)))) =>
32.49/5.22	                   X18(X14,X16))) =>
32.49/5.22	               X6(X14,X16))) & 
32.49/5.22	           (![X8,X10,X12]: ((X6(X10,X12) & X6(X8,X10)) => X6(X8,X12)))) =>
32.49/5.22	          X6(V_3,V_4))) <=>
32.49/5.22	      (![X30:(($i * $i) > $o)]:
32.49/5.22	         (((![X38,X40]: (X4(X38,X40) => X30(X38,X40))) & 
32.49/5.22	           (![X32,X34,X36]: ((X30(X34,X36) & X30(X32,X34)) => X30(X32,X36)))) =>
32.49/5.22	          X30(V_3,V_4)))))).
32.49/5.22	tff(zf_stmt_1, axiom,
32.49/5.22	  (zip_tseitin_10(X30,V_4,V_3,X4) <=> (zip_tseitin_9(X30,X4) => X30(V_3,V_4)))).
32.49/5.22	tff('8', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X111, X112, X115 : ($i * $i) > $o]:
32.49/5.22	      (~ zip_tseitin_9(X115, X90)
32.49/5.22	       |  X115(X111, X112)
32.49/5.22	       | ~ zip_tseitin_10(X115, X112, X111, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
32.49/5.22	tff(zf_stmt_2, axiom,
32.49/5.22	  (zip_tseitin_8(X40,X38,X30,X4) <=> (X4(X38,X40) => X30(X38,X40)))).
32.49/5.22	tff('9', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X113, X114, X115 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_8(X114, X113, X115, X90) | ~ X115(X113, X114)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
32.49/5.22	tff(zf_stmt_3, axiom,
32.49/5.22	  (zip_tseitin_4(X18,X16,X14,X4) <=> (zip_tseitin_3(X18,X4) => X18(X14,X16)))).
32.49/5.22	tff('10', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X102, X103]:
32.49/5.22	      ( zip_tseitin_4(X93, X103, X102, X90) | ~ X93(X102, X103)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
32.49/5.22	tff(zf_stmt_4, axiom,
32.49/5.22	  (zip_tseitin_7(X6,V_4,V_3,X4) <=> (zip_tseitin_6(X6,X4) => X6(V_3,V_4)))).
32.49/5.22	tff('11', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X104 : ($i * $i) > $o, X111, X112]:
32.49/5.22	      ( zip_tseitin_7(X104, X112, X111, X90) | ~ X104(X111, X112)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_4])).
32.49/5.22	tff('12', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X113, X114, X115 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_8(X114, X113, X115, X90) |  X90(X113, X114)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
32.49/5.22	tff(zf_stmt_5, axiom,
32.49/5.22	  (zip_tseitin_0(X28,X26,X18,X4) <=> (X4(X26,X28) => X18(X26,X28)))).
32.49/5.22	tff('13', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X91, X92, X93 : ($i * $i) > $o]:
32.49/5.22	      (~ X90(X91, X92) |  X93(X91, X92) | ~ zip_tseitin_0(X92, X91, X93, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
32.49/5.22	tff(zf_stmt_6, axiom,
32.49/5.22	  (zip_tseitin_1(X24,X22,X20,X18) <=> (X18(X20,X22) & X18(X22,X24)))).
32.49/5.22	tff('14', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      ( zip_tseitin_1(X96, X95, X94, X93) | ~ X93(X95, X96) | ~ X93(X94, X95)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_6])).
32.49/5.22	tff('15', plain,
32.49/5.22	    ![X0 : $o, X1, X2, X3]:
32.49/5.22	      (~ (^[Y0 : $i,Y1 : $i]: X0)(X2, X1)
32.49/5.22	       |  zip_tseitin_1(X1, X2, X3, (^[Y0 : $i,Y1 : $i]: X0))),
32.49/5.22	    inference('eq_fact', [status(thm)], ['14'])).
32.49/5.22	tff('16', plain,
32.49/5.22	    ![X0 : $o, X1, X2, X3]:
32.49/5.22	      (~ X0 |  zip_tseitin_1(X1, X2, X3, (^[Y0 : $i,Y1 : $i]: X0))),
32.49/5.22	    inference('ho_norm', [status(thm)], ['15'])).
32.49/5.22	tff('17', plain, ![X0 : $o, X4, X5]: '#l_lift22709'(X0, X4, X5) = X0,
32.49/5.22	    define([status(thm)])).
32.49/5.22	tff('18', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X102, X103]:
32.49/5.22	      ( zip_tseitin_4(X93, X103, X102, X90) | ~ X93(X102, X103)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
32.49/5.22	tff('19', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	      ( zip_tseitin_4((^[Y0 : $i,Y1 : $i]: $true), X2, X1, X0)
32.49/5.22	       | ~ (^[Y0 : $i,Y1 : $i]: $true)(X1, X2)),
32.49/5.22	    inference('ho.refine', [status(thm)], ['18'])).
32.49/5.22	tff('20', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	       zip_tseitin_4((^[Y0 : $i,Y1 : $i]: $true), X2, X1, X0),
32.49/5.22	    inference('ho_norm', [status(thm)], ['19'])).
32.49/5.22	tff(zf_stmt_7, axiom,
32.49/5.22	  (zip_tseitin_5(X16,X14,X6,X4) <=>
32.49/5.22	   ((![X18:(($i * $i) > $o)]: zip_tseitin_4(X18,X16,X14,X4)) => X6(X14,X16)))).
32.49/5.22	tff('21', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X102, X103, X104 : ($i * $i) > $o, 
32.49/5.22	      X105 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_5(X103, X102, X104, X90)
32.49/5.22	       |  zip_tseitin_4(X105, X103, X102, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
32.49/5.22	tff('22', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X102, X103, X104 : ($i * $i) > $o]:
32.49/5.22	      (~ zip_tseitin_4(sk_X18(X103, X102, X90), X103, X102, X90)
32.49/5.22	       |  X104(X102, X103)
32.49/5.22	       | ~ zip_tseitin_5(X103, X102, X104, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
32.49/5.22	tff('23', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o, X2, X3, X4 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_4(X4, X3, X2, X0)
32.49/5.22	       |  X1(X2, X3)
32.49/5.22	       | ~ zip_tseitin_4(sk_X18(X3, X2, X0), X3, X2, X0)),
32.49/5.22	    inference('sup-', [status(thm)], ['21', '22'])).
32.49/5.22	tff('24', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1 : $o, X2, X3, X4 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_4(X4, X3, X2, X0)
32.49/5.22	       |  (^[Y0 : $i,Y1 : $i]: X1)(X2, X3)
32.49/5.22	       | ~ zip_tseitin_4(sk_X18(X3, X2, X0), X3, X2, X0)),
32.49/5.22	    inference('prune_arg_fun', [status(thm)], ['23'])).
32.49/5.22	tff('25', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1 : $o, X2, X3, X4 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_4(X4, X3, X2, X0)
32.49/5.22	       |  X1
32.49/5.22	       | ~ zip_tseitin_4(sk_X18(X3, X2, X0), X3, X2, X0)),
32.49/5.22	    inference('ho_norm', [status(thm)], ['24'])).
32.49/5.22	tff('26', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2, X3 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_4(X3, X2, X1, X0)
32.49/5.22	       | ~ zip_tseitin_4(sk_X18(X2, X1, X0), X2, X1, X0)),
32.49/5.22	    inference('condensation', [status(thm)], ['25'])).
32.49/5.22	tff('27', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2, X3 : ($i * $i) > $o]:
32.49/5.22	      ((^[Y0 : $i,Y1 : $i]: $true)
32.49/5.22	        != (^[Y0 : $i,Y1 : $i]:
32.49/5.22	              sk_X18(X2, X1, 
32.49/5.22	                (^[Y2 : $i,Y3 : $i]: (^[Y4 : $i,Y5 : $i]: X0(Y5, Y4))(Y2, Y3)), 
32.49/5.22	                Y0, Y1))
32.49/5.22	       |  zip_tseitin_4(X3, X2, X1, (^[Y0 : $i,Y1 : $i]: X0(Y1, Y0)))),
32.49/5.22	    inference('ext_sup', [status(thm)], ['20', '26'])).
32.49/5.22	tff('28', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2, X3 : ($i * $i) > $o]:
32.49/5.22	      ((^[Y0 : $i,Y1 : $i]: $true)
32.49/5.22	        != sk_X18(X2, X1, (^[Y0 : $i,Y1 : $i]: X0(Y1, Y0)))
32.49/5.22	       |  zip_tseitin_4(X3, X2, X1, (^[Y0 : $i,Y1 : $i]: X0(Y1, Y0)))),
32.49/5.22	    inference('ho_norm', [status(thm)], ['27'])).
32.49/5.22	tff('29', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X4, X5]: '#l_lift22711'(X0, X4, X5) = X0(X5, X4),
32.49/5.22	    define([status(thm)])).
32.49/5.22	tff('30', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X102, X103]:
32.49/5.22	      ( zip_tseitin_4(X93, X103, X102, X90) |  zip_tseitin_3(X93, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
32.49/5.22	tff('31', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2, X3 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_4(X3, X2, X1, X0)
32.49/5.22	       | ~ zip_tseitin_4(sk_X18(X2, X1, X0), X2, X1, X0)),
32.49/5.22	    inference('condensation', [status(thm)], ['25'])).
32.49/5.22	tff('32', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2, X3 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_3(sk_X18(X2, X1, X0), X0)
32.49/5.22	       |  zip_tseitin_4(X3, X2, X1, X0)),
32.49/5.22	    inference('sup-', [status(thm)], ['30', '31'])).
32.49/5.22	tff(zf_stmt_8, axiom,
32.49/5.22	  (zip_tseitin_3(X18,X4) <=>
32.49/5.22	   ((![X20,X22,X24]: zip_tseitin_2(X24,X22,X20,X18)) & 
32.49/5.22	    (![X26,X28]: zip_tseitin_0(X28,X26,X18,X4))))).
32.49/5.22	tff('33', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X100, X101]:
32.49/5.22	      ( zip_tseitin_0(X100, X101, X93, X90) | ~ zip_tseitin_3(X93, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_8])).
32.49/5.22	tff('34', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2, X3, X4, X5 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_4(X5, X2, X1, X0)
32.49/5.22	       |  zip_tseitin_0(X4, X3, sk_X18(X2, X1, X0), X0)),
32.49/5.22	    inference('sup-', [status(thm)], ['32', '33'])).
32.49/5.22	tff(zf_stmt_9, axiom,
32.49/5.22	  (zip_tseitin_6(X6,X4) <=>
32.49/5.22	   ((![X8,X10,X12]: zip_tseitin_2(X12,X10,X8,X6)) & 
32.49/5.22	    (![X14,X16]: zip_tseitin_5(X16,X14,X6,X4))))).
32.49/5.22	tff('35', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X104 : ($i * $i) > $o, X109, X110]:
32.49/5.22	      ( zip_tseitin_5(X109, X110, X104, X90) | ~ zip_tseitin_6(X104, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_9])).
32.49/5.22	tff('36', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      ( X93(X94, X95) | ~ zip_tseitin_1(X96, X95, X94, X93)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_6])).
32.49/5.22	tff('37', plain,
32.49/5.22	    ![X0, X1, X2]:
32.49/5.22	      ( (^[Y0 : $i,Y1 : $i]: $false)(X1, X0)
32.49/5.22	       | ~ zip_tseitin_1(X2, X0, X1, (^[Y0 : $i,Y1 : $i]: $false))),
32.49/5.22	    inference('ho.refine', [status(thm)], ['36'])).
32.49/5.22	tff('38', plain,
32.49/5.22	    ![X0, X1, X2]: ~ zip_tseitin_1(X2, X0, X1, (^[Y0 : $i,Y1 : $i]: $false)),
32.49/5.22	    inference('ho_norm', [status(thm)], ['37'])).
32.49/5.22	tff('39', plain,
32.49/5.22	    ![X0, X1, X2]: ~ zip_tseitin_1(X2, X0, X1, (^[Y0 : $i,Y1 : $i]: $false)),
32.49/5.22	    inference('ho_norm', [status(thm)], ['37'])).
32.49/5.22	tff('40', plain, ![X3, X4]: ~ '#l_lift22707'(X3, X4), define([status(thm)])).
32.49/5.22	tff('41', plain, ![X0, X1, X2]: ~ zip_tseitin_1(X2, X0, X1, '#l_lift22707'),
32.49/5.22	    inference('lambda_lifting', [status(thm)], ['38', '40'])).
32.49/5.22	tff('42', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X102, X103, X104 : ($i * $i) > $o]:
32.49/5.22	      (~ zip_tseitin_4(sk_X18(X103, X102, X90), X103, X102, X90)
32.49/5.22	       |  X104(X102, X103)
32.49/5.22	       | ~ zip_tseitin_5(X103, X102, X104, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
32.49/5.22	tff('43', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X104 : ($i * $i) > $o, X111, X112]:
32.49/5.22	      (~ zip_tseitin_6(X104, X90)
32.49/5.22	       |  X104(X111, X112)
32.49/5.22	       | ~ zip_tseitin_7(X104, X112, X111, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_4])).
32.49/5.22	tff('44', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X111, X112, X115 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_10(X115, X112, X111, X90) | ~ X115(X111, X112)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
32.49/5.22	tff('45', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X102, X103, X104 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_5(X103, X102, X104, X90) | ~ X104(X102, X103)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
32.49/5.22	tff('46', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X104 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_6(X104, X90)
32.49/5.22	       | ~ zip_tseitin_5(sk_X16(X104, X90), sk_X14(X104, X90), X104, X90)
32.49/5.22	       | ~ zip_tseitin_2(sk_X12(X104), sk_X10(X104), sk_X8(X104), X104)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_9])).
32.49/5.22	tff('47', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X102, X103, X104 : ($i * $i) > $o, 
32.49/5.22	      X105 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_5(X103, X102, X104, X90)
32.49/5.22	       |  zip_tseitin_4(X105, X103, X102, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
32.49/5.22	tff('48', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X102, X103]:
32.49/5.22	      (~ zip_tseitin_3(X93, X90)
32.49/5.22	       |  X93(X102, X103)
32.49/5.22	       | ~ zip_tseitin_4(X93, X103, X102, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
32.49/5.22	tff('49', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X102, X103]:
32.49/5.22	      ( zip_tseitin_4(X93, X103, X102, X90) |  zip_tseitin_3(X93, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
32.49/5.22	tff('50', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X97, X98, X99]:
32.49/5.22	      ( zip_tseitin_2(X97, X98, X99, X93) | ~ zip_tseitin_3(X93, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_8])).
32.49/5.22	tff('51', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X100, X101]:
32.49/5.22	      ( zip_tseitin_0(X100, X101, X93, X90) | ~ zip_tseitin_3(X93, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_8])).
32.49/5.22	tff(zf_stmt_10, axiom,
32.49/5.22	  (zip_tseitin_2(X24,X22,X20,X18) <=>
32.49/5.22	   (zip_tseitin_1(X24,X22,X20,X18) => X18(X20,X24)))).
32.49/5.22	tff('52', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      ( zip_tseitin_2(X96, X95, X94, X93) | ~ X93(X94, X96)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_10])).
32.49/5.22	tff('53', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      ( zip_tseitin_1(X96, X95, X94, X93) | ~ X93(X95, X96) | ~ X93(X94, X95)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_6])).
32.49/5.22	tff('54', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X91, X92, X93 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_0(X92, X91, X93, X90) | ~ X93(X91, X92)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
32.49/5.22	tff('55', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X91, X92, X93 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_0(X92, X91, X93, X90) |  X90(X91, X92)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
32.49/5.22	tff('56', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      ( X93(X95, X96) | ~ zip_tseitin_1(X96, X95, X94, X93)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_6])).
32.49/5.22	tff('57', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X91, X92, X93 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_0(X92, X91, X93, X90) |  X90(X91, X92)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
32.49/5.22	tff('58', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	      ( zip_tseitin_0(X2, X1, X0, (^[Y0 : $i,Y1 : $i]: $false))
32.49/5.22	       |  (^[Y0 : $i,Y1 : $i]: $false)(X1, X2)),
32.49/5.22	    inference('ho.refine', [status(thm)], ['57'])).
32.49/5.22	tff('59', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	       zip_tseitin_0(X2, X1, X0, (^[Y0 : $i,Y1 : $i]: $false)),
32.49/5.22	    inference('ho_norm', [status(thm)], ['58'])).
32.49/5.22	tff('60', plain, ![X3, X4]: ~ '#l_lift22707'(X3, X4), define([status(thm)])).
32.49/5.22	tff('61', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	       zip_tseitin_0(X2, X1, X0, '#l_lift22707'),
32.49/5.22	    inference('lambda_lifting', [status(thm)], ['59', '60'])).
32.49/5.22	tff('62', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      (~ zip_tseitin_1(X96, X95, X94, X93)
32.49/5.22	       |  X93(X94, X96)
32.49/5.22	       | ~ zip_tseitin_2(X96, X95, X94, X93)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_10])).
32.49/5.22	tff('63', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_3(X93, X90)
32.49/5.22	       | ~ zip_tseitin_0(sk_X28(X93, X90), sk_X26(X93, X90), X93, X90)
32.49/5.22	       | ~ zip_tseitin_2(sk_X24(X93), sk_X22(X93), sk_X20(X93), X93)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_8])).
32.49/5.22	tff('64', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      ( zip_tseitin_2(X96, X95, X94, X93)
32.49/5.22	       |  zip_tseitin_1(X96, X95, X94, X93)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_10])).
32.49/5.22	tff('65', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	       zip_tseitin_0(X2, X1, X0, (^[Y0 : $i,Y1 : $i]: $false)),
32.49/5.22	    inference('ho_norm', [status(thm)], ['58'])).
32.49/5.22	tff('66', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_3(X93, X90)
32.49/5.22	       | ~ zip_tseitin_0(sk_X28(X93, X90), sk_X26(X93, X90), X93, X90)
32.49/5.22	       | ~ zip_tseitin_2(sk_X24(X93), sk_X22(X93), sk_X20(X93), X93)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_8])).
32.49/5.22	tff('67', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o]:
32.49/5.22	      (~ zip_tseitin_2(sk_X24(X0), sk_X22(X0), sk_X20(X0), X0)
32.49/5.22	       |  zip_tseitin_3(X0, (^[Y0 : $i,Y1 : $i]: $false))),
32.49/5.22	    inference('sup-', [status(thm)], ['65', '66'])).
32.49/5.22	tff('68', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_1(sk_X24(X0), sk_X22(X0), sk_X20(X0), X0)
32.49/5.22	       |  zip_tseitin_3(X0, (^[Y0 : $i,Y1 : $i]: $false))),
32.49/5.22	    inference('sup-', [status(thm)], ['64', '67'])).
32.49/5.22	tff('69', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X93 : ($i * $i) > $o, X97, X98, X99]:
32.49/5.22	      ( zip_tseitin_2(X97, X98, X99, X93) | ~ zip_tseitin_3(X93, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_8])).
32.49/5.22	tff('70', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2, X3]:
32.49/5.22	      ( zip_tseitin_1(sk_X24(X0), sk_X22(X0), sk_X20(X0), X0)
32.49/5.22	       |  zip_tseitin_2(X3, X2, X1, X0)),
32.49/5.22	    inference('sup-', [status(thm)], ['68', '69'])).
32.49/5.22	tff('71', plain,
32.49/5.22	    ![X93 : ($i * $i) > $o, X94, X95, X96]:
32.49/5.22	      ( X93(X94, X95) | ~ zip_tseitin_1(X96, X95, X94, X93)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_6])).
32.49/5.22	tff('72', plain,
32.49/5.22	    ![X0 : $o, X1, X2, X3]:
32.49/5.22	      (~ X0 |  zip_tseitin_1(X1, X2, X3, (^[Y0 : $i,Y1 : $i]: X0))),
32.49/5.22	    inference('ho_norm', [status(thm)], ['15'])).
32.49/5.22	tff('73', plain, ![X3, X4]: ~ '#l_lift22707'(X3, X4), define([status(thm)])).
32.49/5.22	tff('74', plain, '#l_lift22709'($false) = '#l_lift22707',
32.49/5.22	    define([status(thm)])).
32.49/5.22	tff(zf_stmt_11, type, zip_tseitin_10 :
32.49/5.22	    (($i * $i) > $o * $i * $i * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_12, type, zip_tseitin_9 : (($i * $i) > $o * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_13, axiom,
32.49/5.22	  (zip_tseitin_9(X30,X4) <=>
32.49/5.22	   ((![X32,X34,X36]: zip_tseitin_2(X36,X34,X32,X30)) & 
32.49/5.22	    (![X38,X40]: zip_tseitin_8(X40,X38,X30,X4))))).
32.49/5.22	tff(zf_stmt_14, type, zip_tseitin_8 :
32.49/5.22	    ($i * $i * ($i * $i) > $o * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_15, type, zip_tseitin_7 :
32.49/5.22	    (($i * $i) > $o * $i * $i * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_16, type, zip_tseitin_6 : (($i * $i) > $o * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_17, type, zip_tseitin_5 :
32.49/5.22	    ($i * $i * ($i * $i) > $o * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_18, type, zip_tseitin_4 :
32.49/5.22	    (($i * $i) > $o * $i * $i * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_19, type, zip_tseitin_3 : (($i * $i) > $o * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_20, type, zip_tseitin_2 : ($i * $i * $i * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_21, type, zip_tseitin_1 : ($i * $i * $i * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_22, type, zip_tseitin_0 :
32.49/5.22	    ($i * $i * ($i * $i) > $o * ($i * $i) > $o) > $o).
32.49/5.22	tff(zf_stmt_23, conjecture,
32.49/5.22	  (![X4:(($i * $i) > $o),V_3,V_4]:
32.49/5.22	     ((![X6:(($i * $i) > $o)]: zip_tseitin_7(X6,V_4,V_3,X4)) <=>
32.49/5.22	      (![X30:(($i * $i) > $o)]: zip_tseitin_10(X30,V_4,V_3,X4))))).
32.49/5.22	tff(zf_stmt_24, negated_conjecture,
32.49/5.22	  (~
32.49/5.22	    (![X4:(($i * $i) > $o),V_3,V_4]:
32.49/5.22	       ((![X6:(($i * $i) > $o)]: zip_tseitin_7(X6,V_4,V_3,X4)) <=>
32.49/5.22	        (![X30:(($i * $i) > $o)]: zip_tseitin_10(X30,V_4,V_3,X4)))))).
32.49/5.22	tff('75', plain,
32.49/5.22	    ![X121 : ($i * $i) > $o, X122 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_10(X121, sk_v_4, sk_v_3, sk_X4)
32.49/5.22	       |  zip_tseitin_7(X122, sk_v_4, sk_v_3, sk_X4)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_24])).
32.49/5.22	tff('76', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X115 : ($i * $i) > $o, X119, X120]:
32.49/5.22	      ( zip_tseitin_8(X119, X120, X115, X90) | ~ zip_tseitin_9(X115, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_13])).
32.49/5.22	tff('77', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X113, X114, X115 : ($i * $i) > $o]:
32.49/5.22	      (~ X90(X113, X114)
32.49/5.22	       |  X115(X113, X114)
32.49/5.22	       | ~ zip_tseitin_8(X114, X113, X115, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
32.49/5.22	tff('78', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X113, X114, X115 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_8(X114, X113, X115, X90) |  X90(X113, X114)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
32.49/5.22	tff('79', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	      ( zip_tseitin_8(X2, X1, X0, (^[Y0 : $i,Y1 : $i]: $false))
32.49/5.22	       |  (^[Y0 : $i,Y1 : $i]: $false)(X1, X2)),
32.49/5.22	    inference('ho.refine', [status(thm)], ['78'])).
32.49/5.22	tff('80', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	       zip_tseitin_8(X2, X1, X0, (^[Y0 : $i,Y1 : $i]: $false)),
32.49/5.22	    inference('ho_norm', [status(thm)], ['79'])).
32.49/5.22	tff('81', plain, ![X3, X4]: ~ '#l_lift22707'(X3, X4), define([status(thm)])).
32.49/5.22	tff('82', plain,
32.49/5.22	    ![X0 : ($i * $i) > $o, X1, X2]:
32.49/5.22	       zip_tseitin_8(X2, X1, X0, '#l_lift22707'),
32.49/5.22	    inference('lambda_lifting', [status(thm)], ['80', '81'])).
32.49/5.22	tff('83', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X115 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_9(X115, X90)
32.49/5.22	       | ~ zip_tseitin_8(sk_X40(X115, X90), sk_X38(X115, X90), X115, X90)
32.49/5.22	       | ~ zip_tseitin_2(sk_X36(X115), sk_X34(X115), sk_X32(X115), X115)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_13])).
32.49/5.22	tff('84', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X104 : ($i * $i) > $o, X111, X112]:
32.49/5.22	      ( zip_tseitin_7(X104, X112, X111, X90) |  zip_tseitin_6(X104, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_4])).
32.49/5.22	tff('85', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X104 : ($i * $i) > $o, X106, X107, X108]:
32.49/5.22	      ( zip_tseitin_2(X106, X107, X108, X104) | ~ zip_tseitin_6(X104, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_9])).
32.49/5.22	tff('86', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X115 : ($i * $i) > $o, X116, X117, X118]:
32.49/5.22	      ( zip_tseitin_2(X116, X117, X118, X115) | ~ zip_tseitin_9(X115, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_13])).
32.49/5.22	tff('87', plain,
32.49/5.22	    ![X90 : ($i * $i) > $o, X111, X112, X115 : ($i * $i) > $o]:
32.49/5.22	      ( zip_tseitin_10(X115, X112, X111, X90) |  zip_tseitin_9(X115, X90)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
32.49/5.22	tff('88', plain,
32.49/5.22	    (~ zip_tseitin_10(sk_X30, sk_v_4, sk_v_3, sk_X4)
32.49/5.22	     | ~ zip_tseitin_7(sk_X6, sk_v_4, sk_v_3, sk_X4)),
32.49/5.22	    inference('cnf', [status(esa)], [zf_stmt_24])).
32.49/5.22	tff('89', plain, $false,
32.49/5.22	    inference('eprover', [status(thm)],
32.49/5.22	              ['8', '9', '10', '11', '12', '13', '17', '29', '34', '35', 
32.49/5.22	               '41', '42', '43', '44', '45', '46', '47', '48', '49', '50', 
32.49/5.22	               '51', '52', '53', '54', '55', '56', '61', '62', '63', '70', 
32.49/5.22	               '71', '74', '75', '76', '77', '82', '83', '84', '85', '86', 
32.49/5.22	               '87', '88'])).
32.49/5.22	
32.49/5.22	% SZS output end Refutation
32.49/5.22	
32.49/5.22	
32.49/5.23	% Terminating...
32.49/5.28	% Runner terminated.
32.49/5.30	% Zipperpin 1.5 exiting
32.49/5.30	EOF