0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.mFosnL9gkM 0.12/0.33 % Computer : n028.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 08:49:06 EDT 2020 0.12/0.33 % CPUTime : 0.12/0.33 % Running portfolio for 120 s 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.33 % Number of cores: 8 0.12/0.33 % Python version: Python 3.6.8 0.12/0.33 % Running in HO mode 0.49/0.60 % Estimated wc time : 1286 0.49/0.60 % Estimated cpu time (7 cpus) : 183.71428571428572 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.51/0.87 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 0.51/1.07 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 70.34/10.68 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 82.39/12.44 % Solved by lams/b.sh. 82.39/12.44 % Running : timeout 14 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.mFosnL9gkM/e_input8d7e8e --cpu-limit=12 --auto -s -p. 82.39/12.44 % done 51 iterations in 11.308s 82.39/12.44 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 82.39/12.44 % SZS output start Refutation 82.39/12.44 tff(refl_axiom, axiom, (![A:(($i > $o))]: mvalid(mimpl(mbox(rel,A),A)))). 82.39/12.44 tff('0', plain, (!!((^[Y0 : $i > $o]: mvalid(mimpl(mbox(rel, Y0), Y0))))), 82.39/12.44 inference('cnf', [status(esa)], [refl_axiom])). 82.39/12.44 tff('1', plain, ![X1 : $i > $o]: mvalid(mimpl(mbox(rel, X1), X1)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['0'])). 82.39/12.44 tff(mvalid, axiom, mvalid(X11) => ((!!((^[Y0 : $i]: X11(Y0)))) = $true)). 82.39/12.44 tff('2', plain, ![X11:(($i > $o))]: (mvalid(X11) <=> (![X16]: X11(X16))), 82.39/12.44 inference('rw.lit', [status(esa)], [mvalid])). 82.39/12.44 tff('3', plain, 82.39/12.44 ![X0 : $i > $o]: (!!((^[Y0 : $i]: mimpl(mbox(rel, X0), X0, Y0)))), 82.39/12.44 inference('rw_clause', [status(thm)], ['1', '2'])). 82.39/12.44 tff('4', plain, ![X0 : $i > $o]: (!!(mimpl(mbox(rel, X0), X0))), 82.39/12.44 inference('ho_norm', [status(thm)], ['3'])). 82.39/12.44 tff('5', plain, ![X0 : $i > $o, X1]: mimpl(mbox(rel, X0), X0, X1), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['4'])). 82.39/12.44 tff(mimpl, axiom, mimpl(X5, X6, X7) = mor(mnot(X5), X6, X7)). 82.39/12.44 tff('6', plain, 82.39/12.44 ![X7,X6:(($i > $o)),X5:(($i > $o))]: 82.39/12.44 (mimpl(X5,X6,X7) = mor(mnot(X5),X6,X7)), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('7', plain, ![X0 : $i > $o, X1]: mor(mnot(mbox(rel, X0)), X0, X1), 82.39/12.44 inference('rw', [status(thm)], ['5', '6'])). 82.39/12.44 tff(mor, axiom, mor(X2, X3, X4) => ((X3(X4) | X2(X4)) = $true)). 82.39/12.44 tff('8', plain, 82.39/12.44 ![X2:(($i > $o)),X3:(($i > $o)),X4]: 82.39/12.44 (mor(X2,X3,X4) <=> (X2(X4) | X3(X4))), 82.39/12.44 inference('rw.lit', [status(esa)], [mor])). 82.39/12.44 tff('9', plain, ![X0 : $i > $o, X1]: (X0(X1) | mnot(mbox(rel, X0), X1)), 82.39/12.44 inference('rw_clause', [status(thm)], ['7', '8'])). 82.39/12.44 tff('10', plain, ![X0 : $i > $o, X1]: ( X0(X1) | mnot(mbox(rel, X0), X1)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['9'])). 82.39/12.44 tff(mnot, axiom, mnot(X0, X1) => (X0(X1) != $true)). 82.39/12.44 tff('11', plain, ![X0:(($i > $o)),X1]: (mnot(X0,X1) <=> (~X0(X1))), 82.39/12.44 inference('rw.lit', [status(esa)], [mnot])). 82.39/12.44 tff('12', plain, ![X0 : $i > $o, X1]: (~ mbox(rel, X0, X1) | X0(X1)), 82.39/12.44 inference('rw_clause', [status(thm)], ['10', '11'])). 82.39/12.44 tff(mbox, axiom, ~ mbox(X8, X9, X10) => 82.39/12.44 ((!!((^[Y0 : $i]: (X8(X10, Y0) => X9(Y0))))) != $true)). 82.39/12.44 tff('13', plain, 82.39/12.44 ![X8:(($i * $i) > $o),X9:(($i > $o)),X10]: 82.39/12.44 ((~mbox(X8,X9,X10)) <=> (~(![X15]: (X8(X10,X15) => X9(X15))))), 82.39/12.44 inference('rw.lit', [status(esa)], [mbox])). 82.39/12.44 tff('14', plain, 82.39/12.44 ![X0 : $i > $o, X1]: 82.39/12.44 (~ (!!((^[Y0 : $i]: (rel(X1, Y0) => X0(Y0))))) | X0(X1)), 82.39/12.44 inference('rw_clause', [status(thm)], ['12', '13'])). 82.39/12.44 tff('15', plain, 82.39/12.44 ![X0 : $i > $o, X1]: 82.39/12.44 (~ (rel(X1, '#sk20'(X0, X1)) => X0('#sk20'(X0, X1))) | X0(X1)), 82.39/12.44 inference('lazy_cnf_exists', [status(thm)], ['14'])). 82.39/12.44 tff('16', plain, ![X0 : $i > $o, X1]: (~ X0('#sk20'(X0, X1)) | X0(X1)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['15'])). 82.39/12.44 tff('17', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ (^[Y0 : $i]: (!=($i, X0, Y0)))( 82.39/12.44 '#sk20'((^[Y0 : $i]: (!=($i, X0, Y0))), X0)) 82.39/12.44 | (^[Y0 : $i]: (!=($i, X0, Y0)))(X0)), 82.39/12.44 inference('elim_leibniz_eq_+', [status(thm)], ['16'])). 82.39/12.44 tff('18', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ (!=($i, X0, '#sk20'((^[Y0 : $i]: (!=($i, X0, Y0))), X0))) 82.39/12.44 | (!=($i, X0, X0))), 82.39/12.44 inference('ho_norm', [status(thm)], ['17'])). 82.39/12.44 tff('19', plain, 82.39/12.44 ![X0]: ~ (!=($i, X0, '#sk20'((^[Y0 : $i]: (!=($i, X0, Y0))), X0))), 82.39/12.44 inference('simplify boolean subterms', [status(thm)], ['18'])). 82.39/12.44 tff('20', plain, ![X0]: X0 = '#sk20'((^[Y0 : $i]: (!=($i, X0, Y0))), X0), 82.39/12.44 inference('simplify nested equalities', [status(thm)], ['19'])). 82.39/12.44 tff('21', plain, ![X0 : $i > $o, X1]: ( rel(X1, '#sk20'(X0, X1)) | X0(X1)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['15'])). 82.39/12.44 tff('22', plain, ![X0]: ( rel(X0, X0) | (^[Y0 : $i]: (!=($i, X0, Y0)))(X0)), 82.39/12.44 inference('sup+', [status(thm)], ['20', '21'])). 82.39/12.44 tff('23', plain, ![X0]: ( rel(X0, X0) | (!=($i, X0, X0))), 82.39/12.44 inference('ho_norm', [status(thm)], ['22'])). 82.39/12.44 tff('24', plain, ![X0]: rel(X0, X0), 82.39/12.44 inference('simplify boolean subterms', [status(thm)], ['23'])). 82.39/12.44 tff(ax1, axiom, 82.39/12.44 (iclval(icl_impl(icl_says(icl_princ(admin),icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1))))). 82.39/12.44 tff('25', plain, 82.39/12.44 iclval( 82.39/12.44 icl_impl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1))), 82.39/12.44 inference('cnf', [status(esa)], [ax1])). 82.39/12.44 tff(icl_s4_valid, axiom, iclval(X22) = mvalid(X22)). 82.39/12.44 tff('26', plain, ![X22:(($i > $o))]: (iclval(X22) = mvalid(X22)), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('27', plain, 82.39/12.44 mvalid( 82.39/12.44 icl_impl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1))), 82.39/12.44 inference('rw', [status(thm)], ['25', '26'])). 82.39/12.44 tff('28', plain, 82.39/12.44 (!!((^[Y0 : $i]: 82.39/12.44 icl_impl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1), Y0)))), 82.39/12.44 inference('rw_clause', [status(thm)], ['27', '2'])). 82.39/12.44 tff('29', plain, 82.39/12.44 (!!(icl_impl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)))), 82.39/12.44 inference('ho_norm', [status(thm)], ['28'])). 82.39/12.44 tff('30', plain, 82.39/12.44 ![X1]: 82.39/12.44 icl_impl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1), X1), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['29'])). 82.39/12.44 tff(icl_impl, axiom, icl_impl(X16, X17, X18) = 82.39/12.44 mbox(rel, mimpl(X16, X17), X18)). 82.39/12.44 tff('31', plain, 82.39/12.44 ![X18,X17:(($i > $o)),X16:(($i > $o))]: 82.39/12.44 (icl_impl(X16,X17,X18) = mbox(rel,mimpl(X16,X17),X18)), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('32', plain, 82.39/12.44 ![X1]: 82.39/12.44 mbox(rel, 82.39/12.44 mimpl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), X1), 82.39/12.44 inference('rw', [status(thm)], ['30', '31'])). 82.39/12.44 tff(mbox, axiom, mbox(X8, X9, X10) => 82.39/12.44 ((!!((^[Y0 : $i]: (X8(X10, Y0) => X9(Y0))))) = $true)). 82.39/12.44 tff('33', plain, 82.39/12.44 ![X8:(($i * $i) > $o),X9:(($i > $o)),X10]: 82.39/12.44 (mbox(X8,X9,X10) <=> (![X15]: (X8(X10,X15) => X9(X15)))), 82.39/12.44 inference('rw.lit', [status(esa)], [mbox])). 82.39/12.44 tff('34', plain, 82.39/12.44 ![X0]: 82.39/12.44 (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mimpl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1), Y0))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['32', '33'])). 82.39/12.44 tff('35', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (rel(X0, X1) => 82.39/12.44 mimpl(icl_says(icl_princ(admin), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1), X1)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['34'])). 82.39/12.44 tff('36', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (rel(X0, X1) => 82.39/12.44 mor(mnot(icl_says(icl_princ(admin), icl_atom(deletefile1))), 82.39/12.44 icl_atom(deletefile1), X1)), 82.39/12.44 inference('rw', [status(thm)], ['35', '6'])). 82.39/12.44 tff('37', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ rel(X0, X1) 82.39/12.44 | mor(mnot(icl_says(icl_princ(admin), icl_atom(deletefile1))), 82.39/12.44 icl_atom(deletefile1), X1)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['36'])). 82.39/12.44 tff('38', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (icl_atom(deletefile1, X0) | 82.39/12.44 mnot(icl_says(icl_princ(admin), icl_atom(deletefile1)), X0)) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['37', '8'])). 82.39/12.44 tff(icl_atom, axiom, icl_atom(X12, X13) = mbox(rel, X12, X13)). 82.39/12.44 tff('39', plain, 82.39/12.44 ![X13,X12:(($i > $o))]: (icl_atom(X12,X13) = mbox(rel,X12,X13)), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('40', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (mbox(rel, deletefile1, X0) | 82.39/12.44 mnot(icl_says(icl_princ(admin), icl_atom(deletefile1)), X0)) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw', [status(thm)], ['38', '39'])). 82.39/12.44 tff('41', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( mbox(rel, deletefile1, X0) 82.39/12.44 | mnot(icl_says(icl_princ(admin), icl_atom(deletefile1)), X0) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['40'])). 82.39/12.44 tff('42', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | mnot(icl_says(icl_princ(admin), icl_atom(deletefile1)), X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['41', '33'])). 82.39/12.44 tff('43', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ icl_says(icl_princ(admin), icl_atom(deletefile1), X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['42', '11'])). 82.39/12.44 tff(icl_says, axiom, icl_says(X19, X20, X21) = mbox(rel, mor(X19, X20), X21)). 82.39/12.44 tff('44', plain, 82.39/12.44 ![X21,X20:(($i > $o)),X19:(($i > $o))]: 82.39/12.44 (icl_says(X19,X20,X21) = mbox(rel,mor(X19,X20),X21)), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('45', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ mbox(rel, mor(icl_princ(admin), icl_atom(deletefile1)), X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('rw', [status(thm)], ['43', '44'])). 82.39/12.44 tff('46', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mor(icl_princ(admin), icl_atom(deletefile1), Y0))))) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['45', '13'])). 82.39/12.44 tff('47', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ (rel(X0, '#sk3'(X0)) => 82.39/12.44 mor(icl_princ(admin), icl_atom(deletefile1), '#sk3'(X0))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('lazy_cnf_exists', [status(thm)], ['46'])). 82.39/12.44 tff('48', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ mor(icl_princ(admin), icl_atom(deletefile1), '#sk3'(X0)) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['47'])). 82.39/12.44 tff(mor, axiom, ~ mor(X2, X3, X4) => ((X3(X4) | X2(X4)) != $true)). 82.39/12.44 tff('49', plain, 82.39/12.44 ![X2:(($i > $o)),X3:(($i > $o)),X4]: 82.39/12.44 ((~mor(X2,X3,X4)) <=> (~(X3(X4) | X2(X4)))), 82.39/12.44 inference('rw.lit', [status(esa)], [mor])). 82.39/12.44 tff('50', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ (icl_atom(deletefile1, '#sk3'(X0)) | icl_princ(admin, '#sk3'(X0))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['48', '49'])). 82.39/12.44 tff(icl_princ, axiom, icl_princ(X14, X15) = X14(X15)). 82.39/12.44 tff('51', plain, ![X14:(($i > $o)),X15]: (icl_princ(X14,X15) = X14(X15)), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('52', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ (mbox(rel, deletefile1, '#sk3'(X0)) | admin('#sk3'(X0))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('rw', [status(thm)], ['50', '39', '51'])). 82.39/12.44 tff('53', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ mbox(rel, deletefile1, '#sk3'(X0)) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['52'])). 82.39/12.44 tff('54', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ (!!((^[Y0 : $i]: (rel('#sk3'(X0), Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['53', '13'])). 82.39/12.44 tff('55', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ (rel('#sk3'(X0), '#sk4'(X0)) => deletefile1('#sk4'(X0))) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_exists', [status(thm)], ['54'])). 82.39/12.44 tff('56', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( rel('#sk3'(X0), '#sk4'(X0)) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['55'])). 82.39/12.44 tff('57', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ '#form5'(X0) | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('58', plain, 82.39/12.44 ![X0, X1]: ( (rel(X0, X1) => deletefile1(X1)) | ~ '#form5'(X0)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['57'])). 82.39/12.44 tff('59', plain, 82.39/12.44 ![X0, X1]: (~ rel(X0, X1) | deletefile1(X1) | ~ '#form5'(X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['58'])). 82.39/12.44 tff('60', plain, ![X0]: (~ '#form5'(X0) | deletefile1(X0)), 82.39/12.44 inference('sup-', [status(thm)], ['24', '59'])). 82.39/12.44 tff('61', plain, ![X0]: rel(X0, X0), 82.39/12.44 inference('simplify boolean subterms', [status(thm)], ['23'])). 82.39/12.44 tff('62', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ deletefile1('#sk4'(X0)) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['55'])). 82.39/12.44 tff('63', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ '#form5'(X0) | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('64', plain, 82.39/12.44 ![X0, X1]: ( '#form5'(X0) | ~ rel(X1, X0) | ~ deletefile1('#sk4'(X0))), 82.39/12.44 inference('renaming', [status(thm)], ['62', '63'])). 82.39/12.44 tff('65', plain, ![X0]: (~ deletefile1('#sk4'(X0)) | '#form5'(X0)), 82.39/12.44 inference('sup-', [status(thm)], ['61', '64'])). 82.39/12.44 tff('66', plain, ![X0]: (~ '#form5'('#sk4'(X0)) | '#form5'(X0)), 82.39/12.44 inference('sup-', [status(thm)], ['60', '65'])). 82.39/12.44 tff('67', plain, 82.39/12.44 ![X0, X1]: (~ rel(X0, X1) | deletefile1(X1) | ~ '#form5'(X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['58'])). 82.39/12.44 tff('68', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( rel('#sk3'(X0), '#sk4'(X0)) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['55'])). 82.39/12.44 tff('69', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ '#form5'(X0) | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('70', plain, 82.39/12.44 ![X0, X1]: ( '#form5'(X0) | ~ rel(X1, X0) | rel('#sk3'(X0), '#sk4'(X0))), 82.39/12.44 inference('renaming', [status(thm)], ['68', '69'])). 82.39/12.44 tff('71', plain, ![X0]: rel(X0, X0), 82.39/12.44 inference('simplify boolean subterms', [status(thm)], ['23'])). 82.39/12.44 tff(conj, conjecture, (iclval(icl_atom(deletefile1)))). 82.39/12.44 tff(zf_stmt_0, negated_conjecture, (~iclval(icl_atom(deletefile1)))). 82.39/12.44 tff('72', plain, ~ iclval(icl_atom(deletefile1)), 82.39/12.44 inference('cnf', [status(esa)], [zf_stmt_0])). 82.39/12.44 tff('73', plain, ~ mvalid(icl_atom(deletefile1)), 82.39/12.44 inference('rw', [status(thm)], ['72', '26'])). 82.39/12.44 tff(mvalid, axiom, ~ mvalid(X11) => ((!!((^[Y0 : $i]: X11(Y0)))) != $true)). 82.39/12.44 tff('74', plain, 82.39/12.44 ![X11:(($i > $o))]: ((~mvalid(X11)) <=> (~(![X16]: X11(X16)))), 82.39/12.44 inference('rw.lit', [status(esa)], [mvalid])). 82.39/12.44 tff('75', plain, ~ (!!((^[Y0 : $i]: icl_atom(deletefile1, Y0)))), 82.39/12.44 inference('rw_clause', [status(thm)], ['73', '74'])). 82.39/12.44 tff('76', plain, ~ (!!(icl_atom(deletefile1))), 82.39/12.44 inference('ho_norm', [status(thm)], ['75'])). 82.39/12.44 tff('77', plain, ~ icl_atom(deletefile1, '#sk1'), 82.39/12.44 inference('lazy_cnf_exists', [status(thm)], ['76'])). 82.39/12.44 tff('78', plain, ~ mbox(rel, deletefile1, '#sk1'), 82.39/12.44 inference('rw', [status(thm)], ['77', '39'])). 82.39/12.44 tff('79', plain, ~ (!!((^[Y0 : $i]: (rel('#sk1', Y0) => deletefile1(Y0))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['78', '13'])). 82.39/12.44 tff('80', plain, ~ (rel('#sk1', '#sk2') => deletefile1('#sk2')), 82.39/12.44 inference('lazy_cnf_exists', [status(thm)], ['79'])). 82.39/12.44 tff('81', plain, rel('#sk1', '#sk2'), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['80'])). 82.39/12.44 tff('82', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ admin('#sk3'(X0)) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['52'])). 82.39/12.44 tff('83', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (rel(X0, X2) => deletefile1(X2)) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ admin('#sk3'(X0))), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['82'])). 82.39/12.44 tff('84', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ rel(X0, X2) | deletefile1(X2) | ~ admin('#sk3'(X0)) | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['83'])). 82.39/12.44 tff('85', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ rel(X0, '#sk1') | ~ admin('#sk3'('#sk1')) | deletefile1('#sk2')), 82.39/12.44 inference('sup-', [status(thm)], ['81', '84'])). 82.39/12.44 tff('86', plain, ~ deletefile1('#sk2'), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['80'])). 82.39/12.44 tff('87', plain, ![X0]: (~ admin('#sk3'('#sk1')) | ~ rel(X0, '#sk1')), 82.39/12.44 inference('clc', [status(thm)], ['85', '86'])). 82.39/12.44 tff('88', plain, ~ admin('#sk3'('#sk1')), 82.39/12.44 inference('sup-', [status(thm)], ['71', '87'])). 82.39/12.44 tff('89', plain, rel('#sk1', '#sk2'), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['80'])). 82.39/12.44 tff('90', plain, ~ deletefile1('#sk2'), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['80'])). 82.39/12.44 tff(ax2, axiom, 82.39/12.44 (iclval(icl_says(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob),icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)))))). 82.39/12.44 tff('91', plain, 82.39/12.44 iclval( 82.39/12.44 icl_says(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)))), 82.39/12.44 inference('cnf', [status(esa)], [ax2])). 82.39/12.44 tff('92', plain, 82.39/12.44 mvalid( 82.39/12.44 icl_says(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)))), 82.39/12.44 inference('rw', [status(thm)], ['91', '26'])). 82.39/12.44 tff('93', plain, 82.39/12.44 (!!((^[Y0 : $i]: 82.39/12.44 icl_says(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), Y0)))), 82.39/12.44 inference('rw_clause', [status(thm)], ['92', '2'])). 82.39/12.44 tff('94', plain, 82.39/12.44 (!!(icl_says(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1))))), 82.39/12.44 inference('ho_norm', [status(thm)], ['93'])). 82.39/12.44 tff('95', plain, 82.39/12.44 ![X1]: 82.39/12.44 icl_says(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), X1), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['94'])). 82.39/12.44 tff('96', plain, 82.39/12.44 ![X1]: 82.39/12.44 mbox(rel, 82.39/12.44 mor(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1))), X1), 82.39/12.44 inference('rw', [status(thm)], ['95', '44'])). 82.39/12.44 tff('97', plain, 82.39/12.44 ![X0]: 82.39/12.44 (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mor(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), Y0))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['96', '33'])). 82.39/12.44 tff('98', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (rel(X0, X1) => 82.39/12.44 mor(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), X1)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['97'])). 82.39/12.44 tff('99', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ rel(X0, X1) 82.39/12.44 | mor(icl_princ(admin), 82.39/12.44 icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), X1)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['98'])). 82.39/12.44 tff('100', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (icl_impl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1), X0) | 82.39/12.44 icl_princ(admin, X0)) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['99', '8'])). 82.39/12.44 tff('101', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (mbox(rel, 82.39/12.44 mimpl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), X0) | 82.39/12.44 admin(X0)) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw', [status(thm)], ['100', '51', '31'])). 82.39/12.44 tff('102', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( mbox(rel, 82.39/12.44 mimpl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1)), X0) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['101'])). 82.39/12.44 tff('103', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mimpl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1), Y0))))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | admin(X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['102', '33'])). 82.39/12.44 tff('104', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (rel(X0, X2) => 82.39/12.44 mimpl(icl_says(icl_princ(bob), icl_atom(deletefile1)), 82.39/12.44 icl_atom(deletefile1), X2)) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['103'])). 82.39/12.44 tff('105', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (rel(X0, X2) => 82.39/12.44 mor(mnot(icl_says(icl_princ(bob), icl_atom(deletefile1))), 82.39/12.44 icl_atom(deletefile1), X2)) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw', [status(thm)], ['104', '6'])). 82.39/12.44 tff('106', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ rel(X0, X2) 82.39/12.44 | mor(mnot(icl_says(icl_princ(bob), icl_atom(deletefile1))), 82.39/12.44 icl_atom(deletefile1), X2) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | admin(X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['105'])). 82.39/12.44 tff('107', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (icl_atom(deletefile1, X2) | 82.39/12.44 mnot(icl_says(icl_princ(bob), icl_atom(deletefile1)), X2)) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2)), 82.39/12.44 inference('rw_clause', [status(thm)], ['106', '8'])). 82.39/12.44 tff('108', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (mbox(rel, deletefile1, X2) | 82.39/12.44 mnot(icl_says(icl_princ(bob), icl_atom(deletefile1)), X2)) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2)), 82.39/12.44 inference('rw', [status(thm)], ['107', '39'])). 82.39/12.44 tff('109', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( mbox(rel, deletefile1, X2) 82.39/12.44 | mnot(icl_says(icl_princ(bob), icl_atom(deletefile1)), X2) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | admin(X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['108'])). 82.39/12.44 tff('110', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (!!((^[Y0 : $i]: (rel(X2, Y0) => deletefile1(Y0))))) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | mnot(icl_says(icl_princ(bob), icl_atom(deletefile1)), X2)), 82.39/12.44 inference('rw_clause', [status(thm)], ['109', '33'])). 82.39/12.44 tff('111', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ icl_says(icl_princ(bob), icl_atom(deletefile1), X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X2, X1) 82.39/12.44 | admin(X1) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['110', '11'])). 82.39/12.44 tff('112', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ mbox(rel, mor(icl_princ(bob), icl_atom(deletefile1)), X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X2, X1) 82.39/12.44 | admin(X1) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 inference('rw', [status(thm)], ['111', '44'])). 82.39/12.44 tff('113', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mor(icl_princ(bob), icl_atom(deletefile1), Y0))))) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | admin(X1) 82.39/12.44 | ~ rel(X2, X1) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['112', '13'])). 82.39/12.44 tff('114', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ '#form5'(X0) | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('115', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( '#form5'(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X2, X1) 82.39/12.44 | admin(X1) 82.39/12.44 | ~ (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mor(icl_princ(bob), icl_atom(deletefile1), Y0)))))), 82.39/12.44 inference('renaming', [status(thm)], ['113', '114'])). 82.39/12.44 tff('116', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ (rel(X0, '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X0)) => 82.39/12.44 mor(icl_princ(bob), icl_atom(deletefile1), 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X0))) 82.39/12.44 | admin(X1) 82.39/12.44 | ~ rel(X2, X1) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | '#form5'(X0)), 82.39/12.44 inference('lazy_cnf_exists', [status(thm)], ['115'])). 82.39/12.44 tff('117', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ mor(icl_princ(bob), icl_atom(deletefile1), 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X0)) 82.39/12.44 | '#form5'(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X2, X1) 82.39/12.44 | admin(X1)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['116'])). 82.39/12.44 tff('118', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ (icl_atom(deletefile1, 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2)) | 82.39/12.44 icl_princ(bob, 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2))) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | '#form5'(X2)), 82.39/12.44 inference('rw_clause', [status(thm)], ['117', '49'])). 82.39/12.44 tff('119', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ (mbox(rel, deletefile1, 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2)) | 82.39/12.44 bob('#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2))) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | '#form5'(X2)), 82.39/12.44 inference('rw', [status(thm)], ['118', '39', '51'])). 82.39/12.44 tff('120', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ mbox(rel, deletefile1, 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2)) 82.39/12.44 | '#form5'(X2) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | admin(X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['119'])). 82.39/12.44 tff('121', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ (!!((^[Y0 : $i]: 82.39/12.44 (rel( 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2), 82.39/12.44 Y0) => 82.39/12.44 deletefile1(Y0))))) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | '#form5'(X2)), 82.39/12.44 inference('rw_clause', [status(thm)], ['120', '13'])). 82.39/12.44 tff('122', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ (!!((^[Y0 : $i]: 82.39/12.44 (rel( 82.39/12.44 '#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2), 82.39/12.44 Y0) => 82.39/12.44 deletefile1(Y0))))) 82.39/12.44 | admin(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | '#form5'(X2)), 82.39/12.44 inference('rw_clause', [status(thm)], ['120', '13'])). 82.39/12.44 tff('123', plain, 82.39/12.44 ![X0]: 82.39/12.44 ( '#form5'(X0) | ~ (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('124', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ '#form5'('#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2)) 82.39/12.44 | '#form5'(X2) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | admin(X0)), 82.39/12.44 inference('renaming', [status(thm)], ['121', '123'])). 82.39/12.44 tff('125', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ bob('#sk20'(mor(icl_princ(bob), icl_atom(deletefile1)), X2)) 82.39/12.44 | '#form5'(X2) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | admin(X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['119'])). 82.39/12.44 tff('126', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( rel(X0, '#sk3'(X0)) 82.39/12.44 | (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['47'])). 82.39/12.44 tff('127', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (rel(X0, X2) => deletefile1(X2)) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | rel(X0, '#sk3'(X0))), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['126'])). 82.39/12.44 tff('128', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ rel(X0, X2) 82.39/12.44 | deletefile1(X2) 82.39/12.44 | rel(X0, '#sk3'(X0)) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['127'])). 82.39/12.44 tff('129', plain, 82.39/12.44 ![X0]: 82.39/12.44 ( '#form5'(X0) | ~ (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0)))))), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('130', plain, 82.39/12.44 ![X0]: 82.39/12.44 (~ (rel(X0, '#sk20'(deletefile1, X0)) => 82.39/12.44 deletefile1('#sk20'(deletefile1, X0))) 82.39/12.44 | '#form5'(X0)), 82.39/12.44 inference('lazy_cnf_exists', [status(thm)], ['129'])). 82.39/12.44 tff('131', plain, 82.39/12.44 ![X0]: (~ deletefile1('#sk20'(deletefile1, X0)) | '#form5'(X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['130'])). 82.39/12.44 tff('132', plain, 82.39/12.44 ![X0]: ( rel(X0, '#sk20'(deletefile1, X0)) | '#form5'(X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['130'])). 82.39/12.44 tff(ax4, axiom, (iclval(icl_says(icl_princ(alice),icl_atom(deletefile1))))). 82.39/12.44 tff('133', plain, iclval(icl_says(icl_princ(alice), icl_atom(deletefile1))), 82.39/12.44 inference('cnf', [status(esa)], [ax4])). 82.39/12.44 tff('134', plain, mvalid(icl_says(icl_princ(alice), icl_atom(deletefile1))), 82.39/12.44 inference('rw', [status(thm)], ['133', '26'])). 82.39/12.44 tff('135', plain, 82.39/12.44 (!!((^[Y0 : $i]: icl_says(icl_princ(alice), icl_atom(deletefile1), Y0)))), 82.39/12.44 inference('rw_clause', [status(thm)], ['134', '2'])). 82.39/12.44 tff('136', plain, (!!(icl_says(icl_princ(alice), icl_atom(deletefile1)))), 82.39/12.44 inference('ho_norm', [status(thm)], ['135'])). 82.39/12.44 tff('137', plain, 82.39/12.44 ![X1]: icl_says(icl_princ(alice), icl_atom(deletefile1), X1), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['136'])). 82.39/12.44 tff('138', plain, 82.39/12.44 ![X1]: mbox(rel, mor(icl_princ(alice), icl_atom(deletefile1)), X1), 82.39/12.44 inference('rw', [status(thm)], ['137', '44'])). 82.39/12.44 tff('139', plain, 82.39/12.44 ![X0]: 82.39/12.44 (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mor(icl_princ(alice), icl_atom(deletefile1), Y0))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['138', '33'])). 82.39/12.44 tff('140', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (rel(X0, X1) => mor(icl_princ(alice), icl_atom(deletefile1), X1)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['139'])). 82.39/12.44 tff('141', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ rel(X0, X1) | mor(icl_princ(alice), icl_atom(deletefile1), X1)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['140'])). 82.39/12.44 tff('142', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (icl_atom(deletefile1, X0) | icl_princ(alice, X0)) | ~ rel(X1, X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['141', '8'])). 82.39/12.44 tff('143', plain, 82.39/12.44 ![X0, X1]: ( (mbox(rel, deletefile1, X0) | alice(X0)) | ~ rel(X1, X0)), 82.39/12.44 inference('rw', [status(thm)], ['142', '39', '51'])). 82.39/12.44 tff('144', plain, 82.39/12.44 ![X0, X1]: ( mbox(rel, deletefile1, X0) | alice(X0) | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['143'])). 82.39/12.44 tff('145', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (!!((^[Y0 : $i]: (rel(X0, Y0) => deletefile1(Y0))))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | alice(X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['144', '33'])). 82.39/12.44 tff('146', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (rel(X0, X2) => deletefile1(X2)) | alice(X0) | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['145'])). 82.39/12.44 tff('147', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ rel(X0, X2) | deletefile1(X2) | ~ rel(X1, X0) | alice(X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['146'])). 82.39/12.44 tff('148', plain, ![X0]: rel(X0, X0), 82.39/12.44 inference('simplify boolean subterms', [status(thm)], ['23'])). 82.39/12.44 tff(ax3, axiom, 82.39/12.44 (iclval(icl_says(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice),icl_princ(bob)))))). 82.39/12.44 tff('149', plain, 82.39/12.44 iclval( 82.39/12.44 icl_says(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob)))), 82.39/12.44 inference('cnf', [status(esa)], [ax3])). 82.39/12.44 tff('150', plain, 82.39/12.44 mvalid( 82.39/12.44 icl_says(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob)))), 82.39/12.44 inference('rw', [status(thm)], ['149', '26'])). 82.39/12.44 tff('151', plain, 82.39/12.44 (!!((^[Y0 : $i]: 82.39/12.44 icl_says(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob)), Y0)))), 82.39/12.44 inference('rw_clause', [status(thm)], ['150', '2'])). 82.39/12.44 tff('152', plain, 82.39/12.44 (!!(icl_says(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob))))), 82.39/12.44 inference('ho_norm', [status(thm)], ['151'])). 82.39/12.44 tff('153', plain, 82.39/12.44 ![X1]: 82.39/12.44 icl_says(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob)), X1), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['152'])). 82.39/12.44 tff('154', plain, 82.39/12.44 ![X1]: 82.39/12.44 mbox(rel, 82.39/12.44 mor(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob))), X1), 82.39/12.44 inference('rw', [status(thm)], ['153', '44'])). 82.39/12.44 tff('155', plain, 82.39/12.44 ![X0]: 82.39/12.44 (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => 82.39/12.44 mor(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob)), Y0))))), 82.39/12.44 inference('rw_clause', [status(thm)], ['154', '33'])). 82.39/12.44 tff('156', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (rel(X0, X1) => 82.39/12.44 mor(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob)), X1)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['155'])). 82.39/12.44 tff('157', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 (~ rel(X0, X1) 82.39/12.44 | mor(icl_princ(bob), 82.39/12.44 icl_impl_princ(icl_princ(alice), icl_princ(bob)), X1)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['156'])). 82.39/12.44 tff('158', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (icl_impl_princ(icl_princ(alice), icl_princ(bob), X0) | 82.39/12.44 icl_princ(bob, X0)) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['157', '8'])). 82.39/12.44 tff(icl_impl_princ, axiom, icl_impl_princ(X23, X24, X25) = 82.39/12.44 mbox(rel, mimpl(X23, X24), X25)). 82.39/12.44 tff('159', plain, 82.39/12.44 ![X25,X24:(($i > $o)),X23:(($i > $o))]: 82.39/12.44 (icl_impl_princ(X23,X24,X25) = mbox(rel,mimpl(X23,X24),X25)), 82.39/12.44 define([status(thm)])). 82.39/12.44 tff('160', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (mbox(rel, mimpl(icl_princ(alice), icl_princ(bob)), X0) | bob(X0)) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw', [status(thm)], ['158', '51', '159'])). 82.39/12.44 tff('161', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( mbox(rel, mimpl(icl_princ(alice), icl_princ(bob)), X0) 82.39/12.44 | bob(X0) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['160'])). 82.39/12.44 tff('162', plain, 82.39/12.44 ![X0, X1]: 82.39/12.44 ( (!!((^[Y0 : $i]: 82.39/12.44 (rel(X0, Y0) => mimpl(icl_princ(alice), icl_princ(bob), Y0))))) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | bob(X0)), 82.39/12.44 inference('rw_clause', [status(thm)], ['161', '33'])). 82.39/12.44 tff('163', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (rel(X0, X2) => mimpl(icl_princ(alice), icl_princ(bob), X2)) 82.39/12.44 | bob(X0) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('lazy_cnf_forall', [status(thm)], ['162'])). 82.39/12.44 tff('164', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (rel(X0, X2) => mor(mnot(icl_princ(alice)), icl_princ(bob), X2)) 82.39/12.44 | bob(X0) 82.39/12.44 | ~ rel(X1, X0)), 82.39/12.44 inference('rw', [status(thm)], ['163', '6'])). 82.39/12.44 tff('165', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ rel(X0, X2) 82.39/12.44 | mor(mnot(icl_princ(alice)), icl_princ(bob), X2) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | bob(X0)), 82.39/12.44 inference('lazy_cnf_imply', [status(thm)], ['164'])). 82.39/12.44 tff('166', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (icl_princ(bob, X2) | mnot(icl_princ(alice), X2)) 82.39/12.44 | bob(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2)), 82.39/12.44 inference('rw_clause', [status(thm)], ['165', '8'])). 82.39/12.44 tff('167', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( (bob(X2) | mnot(icl_princ(alice), X2)) 82.39/12.44 | bob(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2)), 82.39/12.44 inference('rw', [status(thm)], ['166', '51'])). 82.39/12.44 tff('168', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 ( bob(X2) 82.39/12.44 | mnot(icl_princ(alice), X2) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | bob(X0)), 82.39/12.44 inference('lazy_cnf_or', [status(thm)], ['167'])). 82.39/12.44 tff('169', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ icl_princ(alice, X2) 82.39/12.44 | bob(X0) 82.39/12.44 | ~ rel(X1, X0) 82.39/12.44 | ~ rel(X0, X2) 82.39/12.44 | bob(X2)), 82.39/12.44 inference('rw_clause', [status(thm)], ['168', '11'])). 82.39/12.44 tff('170', plain, 82.39/12.44 ![X0, X1, X2]: 82.39/12.44 (~ alice(X2) | bob(X0) | ~ rel(X1, X0) | ~ rel(X0, X2) | bob(X2)), 82.39/12.44 inference('rw', [status(thm)], ['169', '51'])). 82.39/12.44 tff('171', plain, $false, 82.39/12.44 inference('eprover', [status(thm)], 82.39/12.44 ['66', '67', '70', '88', '89', '90', '124', '125', '128', 82.39/12.44 '131', '132', '147', '148', '170'])). 82.39/12.44 82.39/12.44 % SZS output end Refutation 82.39/12.44 82.39/12.44 82.39/12.44 % Terminating... 82.62/12.54 % Runner terminated. 82.62/12.56 % Zipperpin 1.5 exiting 82.62/12.56 EOF