0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.FrWYQLnBVY 0.12/0.34 % Computer : n007.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 : 960 0.12/0.34 % DateTime : Thu Jul 2 08:56:39 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 120 s 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in FO mode 10.65/10.85 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 10.65/10.85 % Solved by: fo/fo7.sh 10.65/10.85 To remain in the chosen logic fragment, unification with booleans has been disabled. 10.65/10.85 % done 7775 iterations in 10.403s 10.65/10.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 10.65/10.85 % SZS output start Refutation 10.65/10.85 tff(conj, conjecture, 10.65/10.85 (![V,W,X]: 10.65/10.85 (((![Y,Z]: (elem(m_Ldr(Z),queue(host(Y))) => (~leq(host(Y),host(Z))))) & 10.65/10.85 (![Y,Z]: (elem(m_Down(Z),queue(host(Y))) => (host(Z) != host(Y)))) & 10.65/10.85 (![Y,Z,Pid0]: 10.65/10.85 (((norm = index(status,host(Pid0))) & 10.65/10.85 (host(Z) = index(ldr,host(Pid0))) & (host(Pid0) = host(Y)) & 10.65/10.85 setIn(Pid0,alive) & (host(Pid0) != host(Z))) => 10.65/10.85 (~elem(m_Down(Y),queue(host(Z)))))) & 10.65/10.85 (![Y,Z,Pid20,Pid0]: 10.65/10.85 (((host(Pid20) != host(Y)) & setIn(Y,alive) & 10.65/10.85 (host(Pid20) = host(Pid0)) & (host(Z) = host(Y)) & 10.65/10.85 setIn(Pid20,alive)) => 10.65/10.85 (~ 10.65/10.85 (elem(m_Down(Pid0),queue(host(Y))) & 10.65/10.85 elem(m_Down(Z),queue(host(Pid20))))))) & 10.65/10.85 (![Y,Z,Pid20,Pid0]: 10.65/10.85 (((host(Y) != host(Pid20)) & (host(Pid20) = host(Pid0)) & 10.65/10.85 (host(Y) = host(Z)) & setIn(Pid20,alive) & setIn(Y,alive)) => 10.65/10.85 (~ 10.65/10.85 (elem(m_Down(Pid0),queue(host(Y))) & 10.65/10.85 setIn(host(Z),index(down,host(Pid20))))))) & 10.65/10.85 (![Y,Z,Pid20,Pid0]: 10.65/10.85 (((![V0]: 10.65/10.85 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 10.65/10.85 (setIn(V0,index(down,host(Pid0))) | (host(Pid20) = V0)))) & 10.65/10.85 elem(m_Down(Pid20),queue(host(Pid0))) & 10.65/10.85 (index(status,host(Pid0)) = elec_1) & (host(Pid0) = nbr_proc) & 10.65/10.85 (host(Pid0) = host(Z))) => 10.65/10.85 (~(elem(m_Down(Z),queue(host(Y))) & setIn(Y,alive))))) & 10.65/10.85 (cons(m_Halt(X),V) = queue(host(W))) & 10.65/10.85 (![Y,Z,Pid0]: 10.65/10.85 (((host(Z) != host(Pid0)) & (host(Pid0) = host(Y)) & 10.65/10.85 (wait = index(status,host(Pid0))) & 10.65/10.85 (host(Z) = host(index(elid,host(Pid0)))) & setIn(Pid0,alive)) => 10.65/10.85 (~elem(m_Down(Y),queue(host(Z)))))) & 10.65/10.85 (![Y]: 10.65/10.85 ((setIn(Y,alive) & 10.65/10.85 ((index(status,host(Y)) = elec_2) | 10.65/10.85 (index(status,host(Y)) = elec_1))) => 10.65/10.85 (index(elid,host(Y)) = Y))) & 10.65/10.85 (![Y,Z]: 10.65/10.85 (((host(Y) = host(Z)) & (Z != Y)) => 10.65/10.85 ((~setIn(Z,alive)) | (~setIn(Y,alive))))) & 10.65/10.85 (![Y,Z]: 10.65/10.85 ((nbr_proc = host(Z)) => (~elem(m_NotNorm(Y),queue(host(Z))))))) => 10.65/10.85 (setIn(W,alive) => 10.65/10.85 (![Y]: 10.65/10.85 ((host(X) != host(Y)) => 10.65/10.85 ((host(W) = host(Y)) => 10.65/10.85 (![Z,X0,Y0]: 10.65/10.85 ((host(Y0) = host(X)) => 10.65/10.85 ((host(Y0) != host(W)) => 10.65/10.85 ((elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W))) & 10.65/10.85 (nbr_proc = host(Y0)) & 10.65/10.85 (index(status,host(Y0)) = elec_1) & 10.65/10.85 (host(Y0) = host(Z)) & 10.65/10.85 (![V0]: 10.65/10.85 (((~leq(host(Y0),V0)) & leq(s(zero),V0)) => 10.65/10.85 (setIn(V0,index(down,host(Y0))) | (host(X0) = V0))))) => 10.65/10.85 (~(setIn(Y,alive) & elem(m_Down(Z),V)))))))))))))). 10.65/10.85 tff(zf_stmt_0, negated_conjecture, 10.65/10.85 (~ 10.65/10.85 (![V,W,X]: 10.65/10.85 (((![Y,Z]: (elem(m_Ldr(Z),queue(host(Y))) => (~leq(host(Y),host(Z))))) & 10.65/10.85 (![Y,Z]: (elem(m_Down(Z),queue(host(Y))) => (host(Z) != host(Y)))) & 10.65/10.85 (![Y,Z,Pid0]: 10.65/10.85 (((norm = index(status,host(Pid0))) & 10.65/10.85 (host(Z) = index(ldr,host(Pid0))) & (host(Pid0) = host(Y)) & 10.65/10.85 setIn(Pid0,alive) & (host(Pid0) != host(Z))) => 10.65/10.85 (~elem(m_Down(Y),queue(host(Z)))))) & 10.65/10.85 (![Y,Z,Pid20,Pid0]: 10.65/10.85 (((host(Pid20) != host(Y)) & setIn(Y,alive) & 10.65/10.85 (host(Pid20) = host(Pid0)) & (host(Z) = host(Y)) & 10.65/10.85 setIn(Pid20,alive)) => 10.65/10.85 (~ 10.65/10.85 (elem(m_Down(Pid0),queue(host(Y))) & 10.65/10.85 elem(m_Down(Z),queue(host(Pid20))))))) & 10.65/10.85 (![Y,Z,Pid20,Pid0]: 10.65/10.85 (((host(Y) != host(Pid20)) & (host(Pid20) = host(Pid0)) & 10.65/10.85 (host(Y) = host(Z)) & setIn(Pid20,alive) & setIn(Y,alive)) => 10.65/10.85 (~ 10.65/10.85 (elem(m_Down(Pid0),queue(host(Y))) & 10.65/10.85 setIn(host(Z),index(down,host(Pid20))))))) & 10.65/10.85 (![Y,Z,Pid20,Pid0]: 10.65/10.85 (((![V0]: 10.65/10.85 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 10.65/10.85 (setIn(V0,index(down,host(Pid0))) | (host(Pid20) = V0)))) & 10.65/10.85 elem(m_Down(Pid20),queue(host(Pid0))) & 10.65/10.85 (index(status,host(Pid0)) = elec_1) & 10.65/10.85 (host(Pid0) = nbr_proc) & (host(Pid0) = host(Z))) => 10.65/10.85 (~(elem(m_Down(Z),queue(host(Y))) & setIn(Y,alive))))) & 10.65/10.85 (cons(m_Halt(X),V) = queue(host(W))) & 10.65/10.85 (![Y,Z,Pid0]: 10.65/10.85 (((host(Z) != host(Pid0)) & (host(Pid0) = host(Y)) & 10.65/10.85 (wait = index(status,host(Pid0))) & 10.65/10.85 (host(Z) = host(index(elid,host(Pid0)))) & setIn(Pid0,alive)) => 10.65/10.85 (~elem(m_Down(Y),queue(host(Z)))))) & 10.65/10.85 (![Y]: 10.65/10.85 ((setIn(Y,alive) & 10.65/10.85 ((index(status,host(Y)) = elec_2) | 10.65/10.85 (index(status,host(Y)) = elec_1))) => 10.65/10.85 (index(elid,host(Y)) = Y))) & 10.65/10.85 (![Y,Z]: 10.65/10.85 (((host(Y) = host(Z)) & (Z != Y)) => 10.65/10.85 ((~setIn(Z,alive)) | (~setIn(Y,alive))))) & 10.65/10.85 (![Y,Z]: 10.65/10.85 ((nbr_proc = host(Z)) => (~elem(m_NotNorm(Y),queue(host(Z))))))) => 10.65/10.85 (setIn(W,alive) => 10.65/10.85 (![Y]: 10.65/10.85 ((host(X) != host(Y)) => 10.65/10.85 ((host(W) = host(Y)) => 10.65/10.85 (![Z,X0,Y0]: 10.65/10.85 ((host(Y0) = host(X)) => 10.65/10.85 ((host(Y0) != host(W)) => 10.65/10.85 ((elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W))) & 10.65/10.85 (nbr_proc = host(Y0)) & 10.65/10.85 (index(status,host(Y0)) = elec_1) & 10.65/10.85 (host(Y0) = host(Z)) & 10.65/10.85 (![V0]: 10.65/10.85 (((~leq(host(Y0),V0)) & leq(s(zero),V0)) => 10.65/10.85 (setIn(V0,index(down,host(Y0))) | (host(X0) = V0))))) => 10.65/10.85 (~(setIn(Y,alive) & elem(m_Down(Z),V))))))))))))))). 10.65/10.85 tff('0', plain, cons(m_Halt(sk_X), sk_V) = queue(host(sk_W)), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('1', plain, host(sk_W) = host(sk_Y_3), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('2', plain, cons(m_Halt(sk_X), sk_V) = queue(host(sk_Y_3)), 10.65/10.85 inference('demod', [status(thm)], ['0', '1'])). 10.65/10.85 tff('3', plain, elem(m_Down(sk_Z), sk_V), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff(axiom_46, axiom, 10.65/10.85 (![X,Y,Q]: ((elem(X,Q) | (Y = X)) <=> elem(X,cons(Y,Q))))). 10.65/10.85 tff('4', plain, 10.65/10.85 ![X86, X87, X88]: ( elem(X86, cons(X87, X88)) | ~ elem(X86, X88)), 10.65/10.85 inference('cnf', [status(esa)], [axiom_46])). 10.65/10.85 tff('5', plain, ![X0]: elem(m_Down(sk_Z), cons(X0, sk_V)), 10.65/10.85 inference('sup-', [status(thm)], ['3', '4'])). 10.65/10.85 tff('6', plain, elem(m_Down(sk_Z), queue(host(sk_Y_3))), 10.65/10.85 inference('sup+', [status(thm)], ['2', '5'])). 10.65/10.85 tff('7', plain, 10.65/10.85 elem(m_Down(sk_X0), snoc(queue(host(sk_Y0)), m_Ack(sk_X, sk_W))), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('8', plain, nbr_proc = host(sk_Y0), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('9', plain, 10.65/10.85 elem(m_Down(sk_X0), snoc(queue(nbr_proc), m_Ack(sk_X, sk_W))), 10.65/10.85 inference('demod', [status(thm)], ['7', '8'])). 10.65/10.85 tff(axiom_47, axiom, 10.65/10.85 (![X,Y,Q]: (elem(X,snoc(Q,Y)) <=> ((X = Y) | elem(X,Q))))). 10.65/10.85 tff('10', plain, 10.65/10.85 ![X73, X74, X75]: 10.65/10.85 ( elem(X73, X74) | X73 = X75 | ~ elem(X73, snoc(X74, X75))), 10.65/10.85 inference('cnf', [status(esa)], [axiom_47])). 10.65/10.85 tff('11', plain, 10.65/10.85 (m_Down(sk_X0) = m_Ack(sk_X, sk_W) 10.65/10.85 | elem(m_Down(sk_X0), queue(nbr_proc))), 10.65/10.85 inference('sup-', [status(thm)], ['9', '10'])). 10.65/10.85 tff(axiom_12, axiom, (![X,Y,Z]: (m_Down(Z) != m_Ack(X,Y)))). 10.65/10.85 tff('12', plain, ![X96, X97, X98]: m_Down(X98) != m_Ack(X96, X97), 10.65/10.85 inference('cnf', [status(esa)], [axiom_12])). 10.65/10.85 tff('13', plain, elem(m_Down(sk_X0), queue(nbr_proc)), 10.65/10.85 inference('clc', [status(thm)], ['11', '12'])). 10.65/10.85 tff('14', plain, host(sk_Y0) = host(sk_X), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('15', plain, nbr_proc = host(sk_Y0), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('16', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('17', plain, elem(m_Down(sk_Z), queue(host(sk_Y_3))), 10.65/10.85 inference('sup+', [status(thm)], ['2', '5'])). 10.65/10.85 tff('18', plain, 10.65/10.85 ![X150, X151, X152, X153]: 10.65/10.85 (~ setIn(X150, alive) 10.65/10.85 | ~ elem(m_Down(X151), queue(host(X150))) 10.65/10.85 | leq(s(zero), sk_V0(X152, X153)) 10.65/10.85 | ~ elem(m_Down(X153), queue(host(X152))) 10.65/10.85 | index(status, host(X152)) != elec_1 10.65/10.85 | host(X152) != nbr_proc 10.65/10.85 | host(X152) != host(X151)), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('19', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (host(X0) != host(sk_Z) 10.65/10.85 | host(X0) != nbr_proc 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | leq(s(zero), sk_V0(X0, X1)) 10.65/10.85 | ~ setIn(sk_Y_3, alive)), 10.65/10.85 inference('sup-', [status(thm)], ['17', '18'])). 10.65/10.85 tff('20', plain, host(sk_Y0) = host(sk_Z), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('21', plain, nbr_proc = host(sk_Y0), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('22', plain, nbr_proc = host(sk_Z), 10.65/10.85 inference('sup+', [status(thm)], ['20', '21'])). 10.65/10.85 tff('23', plain, setIn(sk_Y_3, alive), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('24', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (host(X0) != nbr_proc 10.65/10.85 | host(X0) != nbr_proc 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | leq(s(zero), sk_V0(X0, X1))), 10.65/10.85 inference('demod', [status(thm)], ['19', '22', '23'])). 10.65/10.85 tff('25', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 ( leq(s(zero), sk_V0(X0, X1)) 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | host(X0) != nbr_proc), 10.65/10.85 inference('simplify', [status(thm)], ['24'])). 10.65/10.85 tff('26', plain, 10.65/10.85 ![X0]: 10.65/10.85 (~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | host(sk_X) != nbr_proc 10.65/10.85 | index(status, host(sk_X)) != elec_1 10.65/10.85 | leq(s(zero), sk_V0(sk_X, X0))), 10.65/10.85 inference('sup-', [status(thm)], ['16', '25'])). 10.65/10.85 tff('27', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('28', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('29', plain, index(status, host(sk_Y0)) = elec_1, 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('30', plain, nbr_proc = host(sk_Y0), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('31', plain, index(status, nbr_proc) = elec_1, 10.65/10.85 inference('demod', [status(thm)], ['29', '30'])). 10.65/10.85 tff('32', plain, 10.65/10.85 ![X0]: 10.65/10.85 (~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | nbr_proc != nbr_proc 10.65/10.85 | elec_1 != elec_1 10.65/10.85 | leq(s(zero), sk_V0(sk_X, X0))), 10.65/10.85 inference('demod', [status(thm)], ['26', '27', '28', '31'])). 10.65/10.85 tff('33', plain, 10.65/10.85 ![X0]: 10.65/10.85 ( leq(s(zero), sk_V0(sk_X, X0)) | ~ elem(m_Down(X0), queue(nbr_proc))), 10.65/10.85 inference('simplify', [status(thm)], ['32'])). 10.65/10.85 tff('34', plain, leq(s(zero), sk_V0(sk_X, sk_X0)), 10.65/10.85 inference('sup-', [status(thm)], ['13', '33'])). 10.65/10.85 tff('35', plain, 10.65/10.85 ![X134]: 10.65/10.85 (host(sk_X0) = X134 10.65/10.85 | setIn(X134, index(down, host(sk_Y0))) 10.65/10.85 | ~ leq(s(zero), X134) 10.65/10.85 | leq(host(sk_Y0), X134)), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('36', plain, nbr_proc = host(sk_Y0), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('37', plain, nbr_proc = host(sk_Y0), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('38', plain, 10.65/10.85 ![X134]: 10.65/10.85 (host(sk_X0) = X134 10.65/10.85 | setIn(X134, index(down, nbr_proc)) 10.65/10.85 | ~ leq(s(zero), X134) 10.65/10.85 | leq(nbr_proc, X134)), 10.65/10.85 inference('demod', [status(thm)], ['35', '36', '37'])). 10.65/10.85 tff('39', plain, 10.65/10.85 ( leq(nbr_proc, sk_V0(sk_X, sk_X0)) 10.65/10.85 | setIn(sk_V0(sk_X, sk_X0), index(down, nbr_proc)) 10.65/10.85 | host(sk_X0) = sk_V0(sk_X, sk_X0)), 10.65/10.85 inference('sup-', [status(thm)], ['34', '38'])). 10.65/10.85 tff('40', plain, elem(m_Down(sk_X0), queue(nbr_proc)), 10.65/10.85 inference('clc', [status(thm)], ['11', '12'])). 10.65/10.85 tff('41', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('42', plain, elem(m_Down(sk_Z), queue(host(sk_Y_3))), 10.65/10.85 inference('sup+', [status(thm)], ['2', '5'])). 10.65/10.85 tff('43', plain, 10.65/10.85 ![X150, X151, X152, X153]: 10.65/10.85 (~ setIn(X150, alive) 10.65/10.85 | ~ elem(m_Down(X151), queue(host(X150))) 10.65/10.85 | host(X153) != sk_V0(X152, X153) 10.65/10.85 | ~ elem(m_Down(X153), queue(host(X152))) 10.65/10.85 | index(status, host(X152)) != elec_1 10.65/10.85 | host(X152) != nbr_proc 10.65/10.85 | host(X152) != host(X151)), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('44', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (host(X0) != host(sk_Z) 10.65/10.85 | host(X0) != nbr_proc 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | host(X1) != sk_V0(X0, X1) 10.65/10.85 | ~ setIn(sk_Y_3, alive)), 10.65/10.85 inference('sup-', [status(thm)], ['42', '43'])). 10.65/10.85 tff('45', plain, nbr_proc = host(sk_Z), 10.65/10.85 inference('sup+', [status(thm)], ['20', '21'])). 10.65/10.85 tff('46', plain, setIn(sk_Y_3, alive), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('47', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (host(X0) != nbr_proc 10.65/10.85 | host(X0) != nbr_proc 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | host(X1) != sk_V0(X0, X1)), 10.65/10.85 inference('demod', [status(thm)], ['44', '45', '46'])). 10.65/10.85 tff('48', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (host(X1) != sk_V0(X0, X1) 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | host(X0) != nbr_proc), 10.65/10.85 inference('simplify', [status(thm)], ['47'])). 10.65/10.85 tff('49', plain, 10.65/10.85 ![X0]: 10.65/10.85 (~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | host(sk_X) != nbr_proc 10.65/10.85 | index(status, host(sk_X)) != elec_1 10.65/10.85 | host(X0) != sk_V0(sk_X, X0)), 10.65/10.85 inference('sup-', [status(thm)], ['41', '48'])). 10.65/10.85 tff('50', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('51', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('52', plain, index(status, nbr_proc) = elec_1, 10.65/10.85 inference('demod', [status(thm)], ['29', '30'])). 10.65/10.85 tff('53', plain, 10.65/10.85 ![X0]: 10.65/10.85 (~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | nbr_proc != nbr_proc 10.65/10.85 | elec_1 != elec_1 10.65/10.85 | host(X0) != sk_V0(sk_X, X0)), 10.65/10.85 inference('demod', [status(thm)], ['49', '50', '51', '52'])). 10.65/10.85 tff('54', plain, 10.65/10.85 ![X0]: 10.65/10.85 (host(X0) != sk_V0(sk_X, X0) | ~ elem(m_Down(X0), queue(nbr_proc))), 10.65/10.85 inference('simplify', [status(thm)], ['53'])). 10.65/10.85 tff('55', plain, host(sk_X0) != sk_V0(sk_X, sk_X0), 10.65/10.85 inference('sup-', [status(thm)], ['40', '54'])). 10.65/10.85 tff('56', plain, 10.65/10.85 ( leq(nbr_proc, sk_V0(sk_X, sk_X0)) 10.65/10.85 | setIn(sk_V0(sk_X, sk_X0), index(down, nbr_proc))), 10.65/10.85 inference('simplify_reflect-', [status(thm)], ['39', '55'])). 10.65/10.85 tff('57', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('58', plain, 10.65/10.85 ![X150, X151, X152, X153]: 10.65/10.85 (~ setIn(X150, alive) 10.65/10.85 | ~ elem(m_Down(X151), queue(host(X150))) 10.65/10.85 | ~ setIn(sk_V0(X152, X153), index(down, host(X152))) 10.65/10.85 | ~ elem(m_Down(X153), queue(host(X152))) 10.65/10.85 | index(status, host(X152)) != elec_1 10.65/10.85 | host(X152) != nbr_proc 10.65/10.85 | host(X152) != host(X151)), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('59', plain, 10.65/10.85 ![X0, X1, X2]: 10.65/10.85 (~ setIn(sk_V0(sk_X, X0), index(down, nbr_proc)) 10.65/10.85 | host(sk_X) != host(X1) 10.65/10.85 | host(sk_X) != nbr_proc 10.65/10.85 | index(status, host(sk_X)) != elec_1 10.65/10.85 | ~ elem(m_Down(X0), queue(host(sk_X))) 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X2))) 10.65/10.85 | ~ setIn(X2, alive)), 10.65/10.85 inference('sup-', [status(thm)], ['57', '58'])). 10.65/10.85 tff('60', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('61', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('62', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('63', plain, index(status, nbr_proc) = elec_1, 10.65/10.85 inference('demod', [status(thm)], ['29', '30'])). 10.65/10.85 tff('64', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('65', plain, 10.65/10.85 ![X0, X1, X2]: 10.65/10.85 (~ setIn(sk_V0(sk_X, X0), index(down, nbr_proc)) 10.65/10.85 | nbr_proc != host(X1) 10.65/10.85 | nbr_proc != nbr_proc 10.65/10.85 | elec_1 != elec_1 10.65/10.85 | ~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X2))) 10.65/10.85 | ~ setIn(X2, alive)), 10.65/10.85 inference('demod', [status(thm)], ['59', '60', '61', '62', '63', '64'])). 10.65/10.85 tff('66', plain, 10.65/10.85 ![X0, X1, X2]: 10.65/10.85 (~ setIn(X2, alive) 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X2))) 10.65/10.85 | ~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | nbr_proc != host(X1) 10.65/10.85 | ~ setIn(sk_V0(sk_X, X0), index(down, nbr_proc))), 10.65/10.85 inference('simplify', [status(thm)], ['65'])). 10.65/10.85 tff('67', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 ( leq(nbr_proc, sk_V0(sk_X, sk_X0)) 10.65/10.85 | nbr_proc != host(X0) 10.65/10.85 | ~ elem(m_Down(sk_X0), queue(nbr_proc)) 10.65/10.85 | ~ elem(m_Down(X0), queue(host(X1))) 10.65/10.85 | ~ setIn(X1, alive)), 10.65/10.85 inference('sup-', [status(thm)], ['56', '66'])). 10.65/10.85 tff('68', plain, elem(m_Down(sk_X0), queue(nbr_proc)), 10.65/10.85 inference('clc', [status(thm)], ['11', '12'])). 10.65/10.85 tff('69', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 ( leq(nbr_proc, sk_V0(sk_X, sk_X0)) 10.65/10.85 | nbr_proc != host(X0) 10.65/10.85 | ~ elem(m_Down(X0), queue(host(X1))) 10.65/10.85 | ~ setIn(X1, alive)), 10.65/10.85 inference('demod', [status(thm)], ['67', '68'])). 10.65/10.85 tff('70', plain, 10.65/10.85 (~ setIn(sk_Y_3, alive) 10.65/10.85 | nbr_proc != host(sk_Z) 10.65/10.85 | leq(nbr_proc, sk_V0(sk_X, sk_X0))), 10.65/10.85 inference('sup-', [status(thm)], ['6', '69'])). 10.65/10.85 tff('71', plain, setIn(sk_Y_3, alive), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('72', plain, nbr_proc = host(sk_Z), 10.65/10.85 inference('sup+', [status(thm)], ['20', '21'])). 10.65/10.85 tff('73', plain, (nbr_proc != nbr_proc | leq(nbr_proc, sk_V0(sk_X, sk_X0))), 10.65/10.85 inference('demod', [status(thm)], ['70', '71', '72'])). 10.65/10.85 tff('74', plain, leq(nbr_proc, sk_V0(sk_X, sk_X0)), 10.65/10.85 inference('simplify', [status(thm)], ['73'])). 10.65/10.85 tff('75', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('76', plain, elem(m_Down(sk_Z), queue(host(sk_Y_3))), 10.65/10.85 inference('sup+', [status(thm)], ['2', '5'])). 10.65/10.85 tff('77', plain, 10.65/10.85 ![X150, X151, X152, X153]: 10.65/10.85 (~ setIn(X150, alive) 10.65/10.85 | ~ elem(m_Down(X151), queue(host(X150))) 10.65/10.85 | ~ leq(host(X152), sk_V0(X152, X153)) 10.65/10.85 | ~ elem(m_Down(X153), queue(host(X152))) 10.65/10.85 | index(status, host(X152)) != elec_1 10.65/10.85 | host(X152) != nbr_proc 10.65/10.85 | host(X152) != host(X151)), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('78', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (host(X0) != host(sk_Z) 10.65/10.85 | host(X0) != nbr_proc 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | ~ leq(host(X0), sk_V0(X0, X1)) 10.65/10.85 | ~ setIn(sk_Y_3, alive)), 10.65/10.85 inference('sup-', [status(thm)], ['76', '77'])). 10.65/10.85 tff('79', plain, nbr_proc = host(sk_Z), 10.65/10.85 inference('sup+', [status(thm)], ['20', '21'])). 10.65/10.85 tff('80', plain, setIn(sk_Y_3, alive), 10.65/10.85 inference('cnf', [status(esa)], [zf_stmt_0])). 10.65/10.85 tff('81', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (host(X0) != nbr_proc 10.65/10.85 | host(X0) != nbr_proc 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | ~ leq(host(X0), sk_V0(X0, X1))), 10.65/10.85 inference('demod', [status(thm)], ['78', '79', '80'])). 10.65/10.85 tff('82', plain, 10.65/10.85 ![X0, X1]: 10.65/10.85 (~ leq(host(X0), sk_V0(X0, X1)) 10.65/10.85 | ~ elem(m_Down(X1), queue(host(X0))) 10.65/10.85 | index(status, host(X0)) != elec_1 10.65/10.85 | host(X0) != nbr_proc), 10.65/10.85 inference('simplify', [status(thm)], ['81'])). 10.65/10.85 tff('83', plain, 10.65/10.85 ![X0]: 10.65/10.85 (~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | host(sk_X) != nbr_proc 10.65/10.85 | index(status, host(sk_X)) != elec_1 10.65/10.85 | ~ leq(host(sk_X), sk_V0(sk_X, X0))), 10.65/10.85 inference('sup-', [status(thm)], ['75', '82'])). 10.65/10.85 tff('84', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('85', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('86', plain, index(status, nbr_proc) = elec_1, 10.65/10.85 inference('demod', [status(thm)], ['29', '30'])). 10.65/10.85 tff('87', plain, nbr_proc = host(sk_X), 10.65/10.85 inference('sup+', [status(thm)], ['14', '15'])). 10.65/10.85 tff('88', plain, 10.65/10.85 ![X0]: 10.65/10.85 (~ elem(m_Down(X0), queue(nbr_proc)) 10.65/10.85 | nbr_proc != nbr_proc 10.65/10.85 | elec_1 != elec_1 10.65/10.85 | ~ leq(nbr_proc, sk_V0(sk_X, X0))), 10.65/10.85 inference('demod', [status(thm)], ['83', '84', '85', '86', '87'])). 10.65/10.85 tff('89', plain, 10.65/10.85 ![X0]: 10.65/10.85 (~ leq(nbr_proc, sk_V0(sk_X, X0)) | ~ elem(m_Down(X0), queue(nbr_proc))), 10.65/10.85 inference('simplify', [status(thm)], ['88'])). 10.65/10.85 tff('90', plain, ~ elem(m_Down(sk_X0), queue(nbr_proc)), 10.65/10.85 inference('sup-', [status(thm)], ['74', '89'])). 10.65/10.85 tff('91', plain, elem(m_Down(sk_X0), queue(nbr_proc)), 10.65/10.85 inference('clc', [status(thm)], ['11', '12'])). 10.65/10.85 tff('92', plain, $false, inference('demod', [status(thm)], ['90', '91'])). 10.65/10.85 10.65/10.85 % SZS output end Refutation 10.65/10.85 10.65/10.86 % Zipperpin 1.5 exiting 10.65/10.86 EOF