0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.F4MTxXfrLF 0.12/0.34 % Computer : n005.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1200 0.12/0.34 % DateTime : Tue Jul 13 13:48:33 EDT 2021 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 120 s 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.19/0.34 % Python version: Python 3.6.8 0.19/0.34 % Running in HO mode 0.51/0.61 % Estimated wc time : 1286 0.51/0.61 % Estimated cpu time (7 cpus) : 183.71428571428572 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 38.00/6.11 % Solved by lams/c.easy.sh. 38.00/6.11 % Running : timeout 10 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.F4MTxXfrLF/e_input2d8ae5 --cpu-limit=8 --auto -s -p. 38.00/6.11 % done 422 iterations in 5.350s 38.00/6.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 38.00/6.11 % SZS output start Refutation 38.00/6.11 tff(ax17, axiom, 38.00/6.11 (![X0,X1]: (c_Subq(X0,X1) <=> (![X2]: (c_In(X2,X0) => c_In(X2,X1)))))). 38.00/6.11 tff('0', plain, 38.00/6.11 ![X105, X107]: ( c_Subq(X105, X107) | c_In(sk_X2_6(X107, X105), X105)), 38.00/6.11 inference('cnf', [status(esa)], [ax17])). 38.00/6.11 tff(ax7, axiom, (![X0,X1]: c_iff(c_In(X1,c_Power(X0)),c_Subq(X1,X0)))). 38.00/6.11 tff('1', plain, 38.00/6.11 ![X233, X234]: c_iff(c_In(X233, c_Power(X234)), c_Subq(X233, X234)), 38.00/6.11 inference('cnf', [status(esa)], [ax7])). 38.00/6.11 tff('2', plain, 38.00/6.11 ![X233, X234]: 38.00/6.11 ( c_In(X233, c_Power(X234)) | c_iff($false, c_Subq(X233, X234))), 38.00/6.11 inference('bool_simp', [status(thm)], ['1'])). 38.00/6.11 tff(ax3, axiom, (![X0:$o,X1:$o]: (c_iff(X0,X1) => (X0 <=> X1)))). 38.00/6.11 tff('3', plain, ![X19 : $o, X20 : $o]: (~ X19 | X20 | ~ c_iff(X20, X19)), 38.00/6.11 inference('cnf', [status(esa)], [ax3])). 38.00/6.11 tff('4', plain, ![X0 : $o]: ( X0 | ~ c_iff(X0, $true)), 38.00/6.11 inference('elim_bool_vars', [status(thm)], ['3'])). 38.00/6.11 tff('5', plain, ![X0, X1]: (~ c_Subq(X1, X0) | c_In(X1, c_Power(X0))), 38.00/6.11 inference('ext_sup', [status(thm)], ['2', '4'])). 38.00/6.11 tff(ax5, axiom, (c_not(?[X0]: c_In(X0,c_Empty)))). 38.00/6.11 tff('6', plain, c_not((??((^[Y0 : $i]: c_In(Y0, c_Empty))))), 38.00/6.11 inference('cnf', [status(esa)], [ax5])). 38.00/6.11 tff('7', plain, (~ (??((^[Y0 : $i]: c_In(Y0, c_Empty)))) | c_not($true)), 38.00/6.11 inference('bool_simp', [status(thm)], ['6'])). 38.00/6.11 tff(ax13, axiom, (![X0:$o]: (c_not(X0) <=> (X0 => c_False)))). 38.00/6.11 tff('8', plain, ![X329 : $o]: (~ X329 | c_False | ~ c_not(X329)), 38.00/6.11 inference('cnf', [status(esa)], [ax13])). 38.00/6.11 tff(conj, conjecture, 38.00/6.11 (![X0:((($i * $i * $i) > $i * ($i > $i) * (($i * $i) > $i > $i)) > $i), 38.00/6.11 X1:((($i > $i) * $i) > $i), 38.00/6.11 X2:((((($i * $i * $i) > $i > $i) * $i) > $i * $i) > $i), 38.00/6.11 X3:((($i > $i) * ($i > $i)) > $i)]: 38.00/6.11 ((![X4:(($i * (($i > $i) > $i)) > $i),X5:((($i > $i) > $i)), 38.00/6.11 X6:(((($i * $i) > $i * ($i > $i)) > $i > $i)),X7]: 38.00/6.11 (X3(^[X8]: c_Inj1(c_Empty),^[X8]: c_setsum(c_Empty,c_Empty)) = 38.00/6.11 c_Inj1(c_Empty))) => 38.00/6.11 ((![X4,X5,X6,X7]: 38.00/6.11 (X3(^[X8]: X6,^[X8]: X7) = 38.00/6.11 c_setsum(X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: c_Empty, 38.00/6.11 X0(^[X8,X9,X10]: X3(^[X11]: X10,^[X11]: c_Empty), 38.00/6.11 ^[X8]: c_Empty,^[X8:(($i * $i) > $i)]: c_Empty)), 38.00/6.11 c_Empty))) => 38.00/6.11 ((![X4:(($i > $i)),X5:(($i * $i) > $i),X6:(($i > $i)),X7]: 38.00/6.11 (X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: X7,c_Empty) = X7)) => 38.00/6.11 ((![X4:(($i * ($i * $i) > $i) > $i),X5:(($i > $i)), 38.00/6.11 X6:((((($i > $i) > $i) > $i) > $i)),X7:(($i > $i))]: 38.00/6.11 (X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: 38.00/6.11 X7(X2(^[X10:((($i * $i * $i) > $i > $i)),X11]: 38.00/6.11 X0(^[X12,X13,X14]: c_Inj1(c_Empty), 38.00/6.11 ^[X12]: c_Inj0(c_Empty), 38.00/6.11 ^[X12:(($i * $i) > $i)]: 38.00/6.11 X3(^[X13]: c_Empty,^[X13]: c_Empty)), 38.00/6.11 c_Inj0(X0(^[X10,X11,X12]: c_Empty,^[X10]: c_Empty, 38.00/6.11 ^[X10:(($i * $i) > $i)]: c_Empty)))), 38.00/6.11 X3(^[X8]: c_setsum(X8,c_Empty),^[X8]: c_Empty)) = 38.00/6.11 c_setsum(X7(X5(X0(^[X8,X9,X10]: c_Inj1(c_Empty), 38.00/6.11 ^[X8]: 38.00/6.11 X0(^[X9,X10,X11]: c_Empty,^[X9]: c_Empty, 38.00/6.11 ^[X9:(($i * $i) > $i)]: c_Empty), 38.00/6.11 ^[X8:(($i * $i) > $i)]: 38.00/6.11 c_setsum(c_Empty,c_Empty)))), 38.00/6.11 X1(^[X8]: X7(c_Empty), 38.00/6.11 X5(X4(X1(^[X8]: c_Empty,c_Empty),^[X8,X9]: c_Empty)))))) => 38.00/6.11 ((![X4:(((($i > $i) * $i) > $i > $i)),X5,X6,X7]: 38.00/6.11 (X1(^[X8]: 38.00/6.11 c_Inj1(X1(^[X9]: 38.00/6.11 c_Inj0(X0(^[X10,X11,X12]: c_Empty, 38.00/6.11 ^[X10]: c_Empty, 38.00/6.11 ^[X10:(($i * $i) > $i)]: c_Empty)), 38.00/6.11 c_Inj1(X7))), 38.00/6.11 c_Inj0(X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: X9,X5))) = 38.00/6.11 c_Inj0(X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: X7, 38.00/6.11 c_setsum(c_Empty,c_Empty))))) => 38.00/6.11 ((![X4:(((($i > $i) > $i) > $i)),X5:(($i * $i * ($i > $i)) > $i), 38.00/6.11 X6,X7:((($i > $i) * ($i > $i)) > $i)]: 38.00/6.11 (X1(^[X8]: X7(^[X9]: c_setsum(X9,X8),^[X9]: c_Empty),c_Empty) = 38.00/6.11 X7(^[X8]: 38.00/6.11 c_setsum(X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_Empty, 38.00/6.11 X3(^[X9]: 38.00/6.11 X2(^[X10:((($i * $i * $i) > $i > $i)), 38.00/6.11 X11]: c_Empty, 38.00/6.11 c_Empty), 38.00/6.11 ^[X9]: X1(^[X10]: c_Empty,c_Empty))), 38.00/6.11 X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_Empty, 38.00/6.11 X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_setsum(c_Empty,c_Empty), 38.00/6.11 X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_Empty, 38.00/6.11 c_Empty)))), 38.00/6.11 ^[X8]: 38.00/6.11 c_Inj1(X1(^[X9]: 38.00/6.11 X7(^[X10]: X1(^[X11]: c_Empty,c_Empty), 38.00/6.11 ^[X10]: c_Inj1(c_Empty)), 38.00/6.11 X6))))) => 38.00/6.11 ((![X4:(($i * (($i > $i) * $i) > $i) > $i),X5,X6,X7]: 38.00/6.11 (X0(^[X8,X9,X10]: X7,^[X8]: X6,^[X8:(($i * $i) > $i)]: c_Empty) = 38.00/6.11 X6)) => 38.00/6.11 ((![X4,X5,X6:(($i * ($i > $i)) > $i),X7:(($i > $i))]: 38.00/6.11 (X0(^[X8,X9,X10]: 38.00/6.11 X1(^[X11]: 38.00/6.11 X2(^[X12:((($i * $i * $i) > $i > $i)),X13]: X10, 38.00/6.11 X2(^[X12:((($i * $i * $i) > $i > $i)),X13]: 38.00/6.11 c_setsum(c_Empty,c_Empty), 38.00/6.11 X11)), 38.00/6.11 c_Inj1(c_Empty)), 38.00/6.11 ^[X8]: X7(c_Empty),^[X8:(($i * $i) > $i)]: c_Empty) = 38.00/6.11 X7(X4))) => 38.00/6.11 c_False)))))))))). 38.00/6.11 tff(zf_stmt_0, negated_conjecture, 38.00/6.11 (~ 38.00/6.11 (![X0:((($i * $i * $i) > $i * ($i > $i) * (($i * $i) > $i > $i)) > $i), 38.00/6.11 X1:((($i > $i) * $i) > $i), 38.00/6.11 X2:((((($i * $i * $i) > $i > $i) * $i) > $i * $i) > $i), 38.00/6.11 X3:((($i > $i) * ($i > $i)) > $i)]: 38.00/6.11 ((![X4:(($i * (($i > $i) > $i)) > $i),X5:((($i > $i) > $i)), 38.00/6.11 X6:(((($i * $i) > $i * ($i > $i)) > $i > $i)),X7]: 38.00/6.11 (X3(^[X8]: c_Inj1(c_Empty),^[X8]: c_setsum(c_Empty,c_Empty)) = 38.00/6.11 c_Inj1(c_Empty))) => 38.00/6.11 ((![X4,X5,X6,X7]: 38.00/6.11 (X3(^[X8]: X6,^[X8]: X7) = 38.00/6.11 c_setsum(X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: c_Empty, 38.00/6.11 X0(^[X8,X9,X10]: X3(^[X11]: X10,^[X11]: c_Empty), 38.00/6.11 ^[X8]: c_Empty,^[X8:(($i * $i) > $i)]: c_Empty)), 38.00/6.11 c_Empty))) => 38.00/6.11 ((![X4:(($i > $i)),X5:(($i * $i) > $i),X6:(($i > $i)),X7]: 38.00/6.11 (X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: X7,c_Empty) = X7)) => 38.00/6.11 ((![X4:(($i * ($i * $i) > $i) > $i),X5:(($i > $i)), 38.00/6.11 X6:((((($i > $i) > $i) > $i) > $i)),X7:(($i > $i))]: 38.00/6.11 (X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: 38.00/6.11 X7(X2(^[X10:((($i * $i * $i) > $i > $i)),X11]: 38.00/6.11 X0(^[X12,X13,X14]: c_Inj1(c_Empty), 38.00/6.11 ^[X12]: c_Inj0(c_Empty), 38.00/6.11 ^[X12:(($i * $i) > $i)]: 38.00/6.11 X3(^[X13]: c_Empty,^[X13]: c_Empty)), 38.00/6.11 c_Inj0(X0(^[X10,X11,X12]: c_Empty,^[X10]: c_Empty, 38.00/6.11 ^[X10:(($i * $i) > $i)]: c_Empty)))), 38.00/6.11 X3(^[X8]: c_setsum(X8,c_Empty),^[X8]: c_Empty)) = 38.00/6.11 c_setsum(X7(X5(X0(^[X8,X9,X10]: c_Inj1(c_Empty), 38.00/6.11 ^[X8]: 38.00/6.11 X0(^[X9,X10,X11]: c_Empty,^[X9]: c_Empty, 38.00/6.11 ^[X9:(($i * $i) > $i)]: c_Empty), 38.00/6.11 ^[X8:(($i * $i) > $i)]: 38.00/6.11 c_setsum(c_Empty,c_Empty)))), 38.00/6.11 X1(^[X8]: X7(c_Empty), 38.00/6.11 X5(X4(X1(^[X8]: c_Empty,c_Empty),^[X8,X9]: c_Empty)))))) => 38.00/6.11 ((![X4:(((($i > $i) * $i) > $i > $i)),X5,X6,X7]: 38.00/6.11 (X1(^[X8]: 38.00/6.11 c_Inj1(X1(^[X9]: 38.00/6.11 c_Inj0(X0(^[X10,X11,X12]: c_Empty, 38.00/6.11 ^[X10]: c_Empty, 38.00/6.11 ^[X10:(($i * $i) > $i)]: c_Empty)), 38.00/6.11 c_Inj1(X7))), 38.00/6.11 c_Inj0(X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: X9,X5))) = 38.00/6.11 c_Inj0(X2(^[X8:((($i * $i * $i) > $i > $i)),X9]: X7, 38.00/6.11 c_setsum(c_Empty,c_Empty))))) => 38.00/6.11 ((![X4:(((($i > $i) > $i) > $i)),X5:(($i * $i * ($i > $i)) > $i), 38.00/6.11 X6,X7:((($i > $i) * ($i > $i)) > $i)]: 38.00/6.11 (X1(^[X8]: X7(^[X9]: c_setsum(X9,X8),^[X9]: c_Empty),c_Empty) = 38.00/6.11 X7(^[X8]: 38.00/6.11 c_setsum(X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_Empty, 38.00/6.11 X3(^[X9]: 38.00/6.11 X2(^[X10:((($i * $i * $i) > $i > $i)), 38.00/6.11 X11]: c_Empty, 38.00/6.11 c_Empty), 38.00/6.11 ^[X9]: X1(^[X10]: c_Empty,c_Empty))), 38.00/6.11 X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_Empty, 38.00/6.11 X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_setsum(c_Empty,c_Empty), 38.00/6.11 X2(^[X9:((($i * $i * $i) > $i > $i)),X10]: 38.00/6.11 c_Empty, 38.00/6.11 c_Empty)))), 38.00/6.11 ^[X8]: 38.00/6.11 c_Inj1(X1(^[X9]: 38.00/6.11 X7(^[X10]: X1(^[X11]: c_Empty,c_Empty), 38.00/6.11 ^[X10]: c_Inj1(c_Empty)), 38.00/6.11 X6))))) => 38.00/6.11 ((![X4:(($i * (($i > $i) * $i) > $i) > $i),X5,X6,X7]: 38.00/6.11 (X0(^[X8,X9,X10]: X7,^[X8]: X6, 38.00/6.11 ^[X8:(($i * $i) > $i)]: c_Empty) = 38.00/6.11 X6)) => 38.00/6.11 ((![X4,X5,X6:(($i * ($i > $i)) > $i),X7:(($i > $i))]: 38.00/6.11 (X0(^[X8,X9,X10]: 38.00/6.11 X1(^[X11]: 38.00/6.11 X2(^[X12:((($i * $i * $i) > $i > $i)),X13]: X10, 38.00/6.11 X2(^[X12:((($i * $i * $i) > $i > $i)),X13]: 38.00/6.11 c_setsum(c_Empty,c_Empty), 38.00/6.11 X11)), 38.00/6.11 c_Inj1(c_Empty)), 38.00/6.11 ^[X8]: X7(c_Empty),^[X8:(($i * $i) > $i)]: c_Empty) = 38.00/6.11 X7(X4))) => 38.00/6.11 c_False))))))))))). 38.00/6.11 tff('9', plain, ~ c_False, inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('10', plain, ![X329 : $o]: (~ c_not(X329) | ~ X329), 38.00/6.11 inference('clc', [status(thm)], ['8', '9'])). 38.00/6.11 tff('11', plain, ~ c_not($true), 38.00/6.11 inference('ho.refine', [status(thm)], ['10'])). 38.00/6.11 tff('12', plain, ~ (??((^[Y0 : $i]: c_In(Y0, c_Empty)))), 38.00/6.11 inference('clc', [status(thm)], ['7', '11'])). 38.00/6.11 tff('13', plain, ![X0]: ~ c_In(X0, c_Empty), 38.00/6.11 inference('cnf_otf', [status(thm)], ['12'])). 38.00/6.11 tff('14', plain, 38.00/6.11 ![X36, X37]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y0 : $i]: 38.00/6.11 c_Inj1( 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y1 : $i]: 38.00/6.11 c_Inj0( 38.00/6.11 sk_X0((^[Y2 : $i,Y3 : $i,Y4 : $i]: c_Empty), 38.00/6.11 (^[Y2 : $i]: c_Empty), 38.00/6.11 (^[Y2 : ($i * $i) > $i]: c_Empty)))), c_Inj1(X36)))), 38.00/6.11 c_Inj0( 38.00/6.11 sk_X2_1((^[Y0 : (($i * $i * $i) > $i) > $i,Y1 : $i]: Y1), X37))) 38.00/6.11 = c_Inj0( 38.00/6.11 sk_X2_1((^[Y0 : (($i * $i * $i) > $i) > $i,Y1 : $i]: X36), 38.00/6.11 c_setsum(c_Empty, c_Empty))), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('15', plain, 38.00/6.11 ![X41 : (($i * $i * $i) > $i) > $i, X42]: '#l_lift5769'(X41, X42) = X42, 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('16', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y3 : $i]: 38.00/6.11 sk_X2_1((^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: Y2), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), Y3))), c_Inj1(c_Empty))), 38.00/6.11 (^[Y0 : $i]: X40(c_Empty)), (^[Y0 : ($i * $i) > $i]: c_Empty)) 38.00/6.11 = X40(X41), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('17', plain, 38.00/6.11 ![X35]: 38.00/6.11 sk_X2_1((^[Y0 : (($i * $i * $i) > $i) > $i,Y1 : $i]: X35), c_Empty) 38.00/6.11 = X35, 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('18', plain, 38.00/6.11 ![X35, X36 : (($i * $i * $i) > $i) > $i, X37]: 38.00/6.11 '#l_lift5767'(X35, X36, X37) = X35, 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('19', plain, 38.00/6.11 ![X28, X29]: 38.00/6.11 sk_X3((^[Y0 : $i]: X28), (^[Y0 : $i]: X29)) 38.00/6.11 = c_setsum( 38.00/6.11 sk_X2_1((^[Y0 : (($i * $i * $i) > $i) > $i,Y1 : $i]: c_Empty), 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X3((^[Y3 : $i]: Y2), (^[Y3 : $i]: c_Empty))), 38.00/6.11 (^[Y0 : $i]: c_Empty), (^[Y0 : ($i * $i) > $i]: c_Empty))), 38.00/6.11 c_Empty), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('20', plain, ![X28, X30]: '#l_lift5759'(X28, X30) = X28, 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('21', plain, 38.00/6.11 ![X28, X29]: 38.00/6.11 sk_X3((^[Y0 : $i]: X28), (^[Y0 : $i]: X29)) 38.00/6.11 = c_setsum( 38.00/6.11 sk_X2_1((^[Y0 : (($i * $i * $i) > $i) > $i,Y1 : $i]: c_Empty), 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X3((^[Y3 : $i]: Y2), (^[Y3 : $i]: c_Empty))), 38.00/6.11 (^[Y0 : $i]: c_Empty), (^[Y0 : ($i * $i) > $i]: c_Empty))), 38.00/6.11 c_Empty), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('22', plain, ![X38 : ($i * $i) > $i]: '#l_lift5763'(X38) = c_Empty, 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('23', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y3 : $i]: 38.00/6.11 sk_X2_1((^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: Y2), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), Y3))), c_Inj1(c_Empty))), 38.00/6.11 (^[Y0 : $i]: X40(c_Empty)), (^[Y0 : ($i * $i) > $i]: c_Empty)) 38.00/6.11 = X40(X41), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('24', plain, 38.00/6.11 ![X47, X48, X49]: 38.00/6.11 '#l_lift5773'(X47, X48, X49) 38.00/6.11 = sk_X1_1('#l_lift5772'(X49), c_Inj1(c_Empty)), 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('25', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y3 : $i]: 38.00/6.11 sk_X2_1((^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: Y2), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), Y3))), c_Inj1(c_Empty))), 38.00/6.11 (^[Y0 : $i]: X40(c_Empty)), (^[Y0 : ($i * $i) > $i]: c_Empty)) 38.00/6.11 = X40(X41), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('26', plain, 38.00/6.11 ![X45, X46]: 38.00/6.11 '#l_lift5772'(X45, X46) 38.00/6.11 = sk_X2_1('#l_lift5771'(X45), 38.00/6.11 sk_X2_1('#l_lift5767'(c_setsum(c_Empty, c_Empty)), X46)), 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('27', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y3 : $i]: 38.00/6.11 sk_X2_1((^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: Y2), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), Y3))), c_Inj1(c_Empty))), 38.00/6.11 (^[Y0 : $i]: X40(c_Empty)), (^[Y0 : ($i * $i) > $i]: c_Empty)) 38.00/6.11 = X40(X41), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('28', plain, 38.00/6.11 ![X33 : ($i > $i * $i > $i) > $i, X34]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y0 : $i]: 38.00/6.11 X33((^[Y1 : $i]: c_setsum(Y1, Y0)), (^[Y1 : $i]: c_Empty))), 38.00/6.11 c_Empty) 38.00/6.11 = X33( 38.00/6.11 (^[Y0 : $i]: 38.00/6.11 c_setsum( 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y1 : (($i * $i * $i) > $i) > $i,Y2 : $i]: c_Empty), 38.00/6.11 sk_X3( 38.00/6.11 (^[Y1 : $i]: 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y2 : (($i * $i * $i) > $i) > $i,Y3 : $i]: c_Empty), 38.00/6.11 c_Empty)), 38.00/6.11 (^[Y1 : $i]: sk_X1_1((^[Y2 : $i]: c_Empty), c_Empty)))), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y1 : (($i * $i * $i) > $i) > $i,Y2 : $i]: c_Empty), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y1 : (($i * $i * $i) > $i) > $i,Y2 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y1 : (($i * $i * $i) > $i) > $i,Y2 : $i]: c_Empty), 38.00/6.11 c_Empty))))), 38.00/6.11 (^[Y0 : $i]: 38.00/6.11 c_Inj1( 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y1 : $i]: 38.00/6.11 X33( 38.00/6.11 (^[Y2 : $i]: sk_X1_1((^[Y3 : $i]: c_Empty), c_Empty)), 38.00/6.11 (^[Y2 : $i]: c_Inj1(c_Empty)))), X34)))), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('29', plain, 38.00/6.11 ![X38 : (($i * $i * $i) > $i) > $i, X39]: 38.00/6.11 '#l_lift5766'(X38, X39) = c_setsum(c_Empty, c_Empty), 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('30', plain, '#l_lift5771'(c_setsum(c_Empty, c_Empty)) = '#l_lift5766', 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('31', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y3 : $i]: 38.00/6.11 sk_X2_1((^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: Y2), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), Y3))), c_Inj1(c_Empty))), 38.00/6.11 (^[Y0 : $i]: X40(c_Empty)), (^[Y0 : ($i * $i) > $i]: c_Empty)) 38.00/6.11 = X40(X41), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('32', plain, 38.00/6.11 ![X28, X29]: 38.00/6.11 sk_X3((^[Y0 : $i]: X28), (^[Y0 : $i]: X29)) 38.00/6.11 = c_setsum( 38.00/6.11 sk_X2_1((^[Y0 : (($i * $i * $i) > $i) > $i,Y1 : $i]: c_Empty), 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X3((^[Y3 : $i]: Y2), (^[Y3 : $i]: c_Empty))), 38.00/6.11 (^[Y0 : $i]: c_Empty), (^[Y0 : ($i * $i) > $i]: c_Empty))), 38.00/6.11 c_Empty), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('33', plain, 38.00/6.11 ![X31 : (($i * $i * $i) > $i) > $i, X32]: 38.00/6.11 '#l_lift5760'(X31, X32) = c_Empty, 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('34', plain, '#l_lift5771'(c_Empty) = '#l_lift5760', 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('35', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y3 : $i]: 38.00/6.11 sk_X2_1((^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: Y2), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), Y3))), c_Inj1(c_Empty))), 38.00/6.11 (^[Y0 : $i]: X40(c_Empty)), (^[Y0 : ($i * $i) > $i]: c_Empty)) 38.00/6.11 = X40(X41), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('36', plain, 38.00/6.11 ![X35, X36 : (($i * $i * $i) > $i) > $i, X37]: 38.00/6.11 '#l_lift5767'(X35, X36, X37) = X35, 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('37', plain, ![X0]: '#l_lift5771'(X0) = '#l_lift5767'(X0), 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('38', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0( 38.00/6.11 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 38.00/6.11 sk_X1_1( 38.00/6.11 (^[Y3 : $i]: 38.00/6.11 sk_X2_1((^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: Y2), 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y4 : (($i * $i * $i) > $i) > $i,Y5 : $i]: 38.00/6.11 c_setsum(c_Empty, c_Empty)), Y3))), c_Inj1(c_Empty))), 38.00/6.11 (^[Y0 : $i]: X40(c_Empty)), (^[Y0 : ($i * $i) > $i]: c_Empty)) 38.00/6.11 = X40(X41), 38.00/6.11 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.11 tff('39', plain, 38.00/6.11 ![X42, X43 : (($i * $i * $i) > $i) > $i, X44]: 38.00/6.11 '#l_lift5771'(X42, X43, X44) = X42, 38.00/6.11 define([status(thm)])). 38.00/6.11 tff('40', plain, 38.00/6.11 ![X40 : $i > $i, X41]: 38.00/6.11 sk_X0('#l_lift5773', '#l_lift5759'(X40(c_Empty)), '#l_lift5763') 38.00/6.11 = X40(X41), 38.00/6.11 inference('lambda_lifting', [status(thm)], 38.00/6.11 ['16', '18', '20', '22', '24', '26', '30', '34', '37', '39'])). 38.00/6.11 tff('41', plain, 38.00/6.11 ![X30 : $i > $i, X31 : $i > $i, X32 : ($i * ($i * $i) > $i) > $i]: 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y0 : (($i * $i * $i) > $i) > $i,Y1 : $i]: 38.00/6.11 X30( 38.00/6.11 sk_X2_1( 38.00/6.11 (^[Y2 : (($i * $i * $i) > $i) > $i,Y3 : $i]: 38.00/6.11 sk_X0((^[Y4 : $i,Y5 : $i,Y6 : $i]: c_Inj1(c_Empty)), 38.00/6.11 (^[Y4 : $i]: c_Inj0(c_Empty)), 38.00/6.11 (^[Y4 : ($i * $i) > $i]: 38.00/6.11 sk_X3((^[Y5 : $i]: c_Empty), (^[Y5 : $i]: c_Empty))))), 38.00/6.12 c_Inj0( 38.00/6.12 sk_X0((^[Y2 : $i,Y3 : $i,Y4 : $i]: c_Empty), 38.00/6.12 (^[Y2 : $i]: c_Empty), (^[Y2 : ($i * $i) > $i]: c_Empty)))))), 38.00/6.12 sk_X3((^[Y0 : $i]: c_setsum(Y0, c_Empty)), (^[Y0 : $i]: c_Empty))) 38.00/6.12 = c_setsum( 38.00/6.12 X30( 38.00/6.12 X31( 38.00/6.12 sk_X0((^[Y0 : $i,Y1 : $i,Y2 : $i]: c_Inj1(c_Empty)), 38.00/6.12 (^[Y0 : $i]: 38.00/6.12 sk_X0((^[Y1 : $i,Y2 : $i,Y3 : $i]: c_Empty), 38.00/6.12 (^[Y1 : $i]: c_Empty), 38.00/6.12 (^[Y1 : ($i * $i) > $i]: c_Empty))), 38.00/6.12 (^[Y0 : ($i * $i) > $i]: c_setsum(c_Empty, c_Empty))))), 38.00/6.12 sk_X1_1((^[Y0 : $i]: X30(c_Empty)), 38.00/6.12 X31( 38.00/6.12 X32(sk_X1_1((^[Y0 : $i]: c_Empty), c_Empty), 38.00/6.12 (^[Y0 : $i,Y1 : $i]: c_Empty))))), 38.00/6.12 inference('cnf', [status(esa)], [zf_stmt_0])). 38.00/6.12 tff('42', plain, ![X33, X34]: '#l_lift5814'(X33, X34) = c_Empty, 38.00/6.12 define([status(thm)])). 38.00/6.12 tff('43', plain, $false, 38.00/6.12 inference('eprover', [status(thm)], ['0', '5', '13', '15', '40', '42'])). 38.00/6.12 38.00/6.12 % SZS output end Refutation 38.00/6.12 38.00/6.12 38.00/6.12 % Terminating... 38.00/6.18 % Runner terminated. 38.00/6.20 % Zipperpin 1.5 exiting 38.00/6.20 EOF