0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.icUHHPmRx3 0.13/0.35 % Computer : n020.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % DateTime : Thu Jul 2 07:57:33 EDT 2020 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 120 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.36 % Number of cores: 8 0.13/0.36 % Python version: Python 3.6.8 0.13/0.36 % Running in FO mode 67.59/67.93 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 67.59/67.93 % Warning: 67.59/67.93 % To remain in the chosen logic fragment, unification with booleans has been disabled. 67.59/67.93 % 67.59/67.93 % Running /export/starexec/sandbox2/solver/bin/fo/fo8.sh for 20 67.59/67.93 % Running /export/starexec/sandbox2/solver/bin/fo/fo5.sh for 20 67.59/67.93 % Running /export/starexec/sandbox2/solver/bin/fo/fo11.sh for 20 67.59/67.93 % Solved by: fo/fo11.sh 67.59/67.93 To remain in the chosen logic fragment, unification with booleans has been disabled. 67.59/67.93 % done 4648 iterations in 2.753s 67.59/67.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 67.59/67.93 % SZS output start Refutation 67.59/67.93 tff(axiom_02, axiom, (![P]: leq(s(zero),host(P)))). 67.59/67.93 tff('0', plain, ![X119]: leq(s(zero), host(X119)), 67.59/67.93 inference('cnf', [status(esa)], [axiom_02])). 67.59/67.93 tff(conj, conjecture, 67.59/67.93 (![V,W,X,Y]: 67.59/67.93 (((![Z,Pid0]: 67.59/67.93 (elem(m_Ldr(Pid0),queue(host(Z))) => (~leq(host(Z),host(Pid0))))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 (elem(m_Down(Pid0),queue(host(Z))) => (host(Z) != host(Pid0)))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 (((host(Z) = host(Pid0)) & (Z != Pid0)) => 67.59/67.93 ((~setIn(Pid0,alive)) | (~setIn(Z,alive))))) & 67.59/67.93 (![Z]: 67.59/67.93 ((setIn(Z,alive) & 67.59/67.93 ((index(status,host(Z)) = elec_2) | 67.59/67.93 (index(status,host(Z)) = elec_1))) => 67.59/67.93 (index(elid,host(Z)) = Z))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 ((setIn(Pid0,alive) & setIn(host(Pid0),index(down,host(Z))) & 67.59/67.93 (elec_2 = index(status,host(Pid0))) & setIn(Z,alive)) => 67.59/67.93 leq(index(pendack,host(Pid0)),host(Z)))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 (((host(Pid20) != host(Z)) & setIn(Pid20,alive) & 67.59/67.93 (host(Pid0) = host(Pid20)) & (host(Z) = host(Pid30)) & 67.59/67.93 setIn(Z,alive)) => 67.59/67.93 (~ 67.59/67.93 (elem(m_Down(Pid30),queue(host(Pid20))) & 67.59/67.93 elem(m_Down(Pid0),queue(host(Z))))))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 ((setIn(Pid20,alive) & (host(Pid0) = host(Pid20)) & 67.59/67.93 (host(Pid30) = host(Z)) & setIn(Z,alive) & 67.59/67.93 (host(Pid20) != host(Z))) => 67.59/67.93 (~ 67.59/67.93 (elem(m_Down(Pid0),queue(host(Z))) & 67.59/67.93 setIn(host(Pid30),index(down,host(Pid20))))))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 ((setIn(Z,alive) & leq(host(Z),host(Pid0)) & 67.59/67.93 (elec_1 = index(status,host(Pid0))) & 67.59/67.93 (index(status,host(Z)) = elec_2) & (host(Pid30) = host(Pid0)) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Pid0))) & 67.59/67.93 (![V0]: 67.59/67.93 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 67.59/67.93 (setIn(V0,index(down,host(Pid0))) | (host(Pid20) = V0))))) => 67.59/67.93 (~elem(m_Ack(Z,Pid30),queue(host(Z)))))) & 67.59/67.93 (cons(m_Ack(W,Y),V) = queue(host(X))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 (((![V0]: 67.59/67.93 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 67.59/67.93 ((V0 = host(Pid20)) | setIn(V0,index(down,host(Pid0)))))) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Pid0))) & 67.59/67.93 elem(m_Down(Pid30),queue(host(Pid0))) & 67.59/67.93 (s(host(Pid0)) = host(Pid30)) & 67.59/67.93 (elec_1 = index(status,host(Pid0))) & 67.59/67.93 leq(nbr_proc,s(host(Pid0))) & setIn(Pid0,alive)) => 67.59/67.93 (~ 67.59/67.93 ((index(status,host(Z)) = norm) & 67.59/67.93 (index(ldr,host(Z)) = host(Z)) & setIn(Z,alive))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((wait = index(status,host(Pid0))) & 67.59/67.93 (host(index(elid,host(Pid0))) = host(Pid20)) & 67.59/67.93 (host(Z) = host(Pid20)) & elem(m_Down(Z),queue(host(Pid0))) & 67.59/67.93 setIn(Pid0,alive) & (host(Pid20) != host(Pid0))) => 67.59/67.93 (~ 67.59/67.93 ((host(Pid20) = index(ldr,host(Pid20))) & 67.59/67.93 (norm = index(status,host(Pid20))) & setIn(Pid20,alive))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 ((setIn(Pid0,alive) & elem(m_Down(Z),queue(host(Pid0))) & 67.59/67.93 (host(Pid20) = index(ldr,host(Pid0))) & 67.59/67.93 (index(status,host(Pid0)) = norm) & (host(Z) = host(Pid20)) & 67.59/67.93 (host(Pid20) != host(Pid0))) => 67.59/67.93 (~ 67.59/67.93 ((index(status,host(Pid20)) = norm) & 67.59/67.93 (host(Pid20) = index(ldr,host(Pid20))) & setIn(Pid20,alive))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((host(Pid20) = host(Z)) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Pid0))) & setIn(Pid0,alive) & 67.59/67.93 (~leq(host(Pid20),host(Pid0)))) => 67.59/67.93 (~ 67.59/67.93 ((index(status,host(Z)) = norm) & 67.59/67.93 (index(ldr,host(Z)) = host(Z)) & setIn(Z,alive))))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 ((setIn(Pid0,alive) & (host(Z) = index(ldr,host(Z))) & 67.59/67.93 (index(status,host(Pid0)) = norm) & 67.59/67.93 (host(Pid0) = index(ldr,host(Pid0))) & 67.59/67.93 (norm = index(status,host(Z))) & setIn(Z,alive)) => 67.59/67.93 (Pid0 = Z))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((host(Pid0) = host(Pid20)) & (norm = index(status,host(Pid0))) & 67.59/67.93 (index(ldr,host(Pid0)) = host(Pid0)) & setIn(Pid0,alive)) => 67.59/67.93 (~(setIn(Z,alive) & elem(m_Down(Pid20),queue(host(Z))))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((elec_2 = index(status,host(Pid0))) & 67.59/67.93 (host(Pid20) = host(Pid0)) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Z))) & setIn(Pid0,alive) & 67.59/67.93 setIn(Z,alive)) => 67.59/67.93 leq(index(pendack,host(Pid0)),host(Z)))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 (((norm = index(status,host(Pid0))) & 67.59/67.93 (host(Pid0) = index(ldr,host(Pid0))) & setIn(Pid0,alive)) => 67.59/67.93 (~(setIn(host(Pid0),index(down,host(Z))) & setIn(Z,alive)))))) => 67.59/67.93 (setIn(X,alive) => 67.59/67.93 (((index(elid,host(X)) = W) & (index(status,host(X)) = elec_2) & 67.59/67.93 (index(pendack,host(X)) = host(Y))) => 67.59/67.93 (leq(nbr_proc,index(pendack,host(X))) => 67.59/67.93 (![Z]: 67.59/67.93 ((~((host(Y) = host(Z)) | setIn(host(Z),index(acks,host(X))))) => 67.59/67.93 (![V0]: 67.59/67.93 ((host(V0) = host(X)) => 67.59/67.93 (![W0,X0,Y0]: 67.59/67.93 ((host(Y0) != host(X)) => 67.59/67.93 (((![V1]: 67.59/67.93 ((leq(s(zero),V1) & (~leq(host(Y0),V1))) => 67.59/67.93 (setIn(V1,index(down,host(Y0))) | (host(X0) = V1)))) & 67.59/67.93 setIn(Y0,alive) & elem(m_Down(X0),queue(host(Y0))) & 67.59/67.93 (index(status,host(Y0)) = elec_1) & 67.59/67.93 (s(host(Y0)) = host(W0)) & 67.59/67.93 elem(m_Down(W0),queue(host(Y0))) & 67.59/67.93 leq(nbr_proc,s(host(Y0)))) => 67.59/67.93 (~(setIn(V0,alive) & (host(X) = host(V0))))))))))))))))). 67.59/67.93 tff(zf_stmt_0, negated_conjecture, 67.59/67.93 (~ 67.59/67.93 (![V,W,X,Y]: 67.59/67.93 (((![Z,Pid0]: 67.59/67.93 (elem(m_Ldr(Pid0),queue(host(Z))) => (~leq(host(Z),host(Pid0))))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 (elem(m_Down(Pid0),queue(host(Z))) => (host(Z) != host(Pid0)))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 (((host(Z) = host(Pid0)) & (Z != Pid0)) => 67.59/67.93 ((~setIn(Pid0,alive)) | (~setIn(Z,alive))))) & 67.59/67.93 (![Z]: 67.59/67.93 ((setIn(Z,alive) & 67.59/67.93 ((index(status,host(Z)) = elec_2) | 67.59/67.93 (index(status,host(Z)) = elec_1))) => 67.59/67.93 (index(elid,host(Z)) = Z))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 ((setIn(Pid0,alive) & setIn(host(Pid0),index(down,host(Z))) & 67.59/67.93 (elec_2 = index(status,host(Pid0))) & setIn(Z,alive)) => 67.59/67.93 leq(index(pendack,host(Pid0)),host(Z)))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 (((host(Pid20) != host(Z)) & setIn(Pid20,alive) & 67.59/67.93 (host(Pid0) = host(Pid20)) & (host(Z) = host(Pid30)) & 67.59/67.93 setIn(Z,alive)) => 67.59/67.93 (~ 67.59/67.93 (elem(m_Down(Pid30),queue(host(Pid20))) & 67.59/67.93 elem(m_Down(Pid0),queue(host(Z))))))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 ((setIn(Pid20,alive) & (host(Pid0) = host(Pid20)) & 67.59/67.93 (host(Pid30) = host(Z)) & setIn(Z,alive) & 67.59/67.93 (host(Pid20) != host(Z))) => 67.59/67.93 (~ 67.59/67.93 (elem(m_Down(Pid0),queue(host(Z))) & 67.59/67.93 setIn(host(Pid30),index(down,host(Pid20))))))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 ((setIn(Z,alive) & leq(host(Z),host(Pid0)) & 67.59/67.93 (elec_1 = index(status,host(Pid0))) & 67.59/67.93 (index(status,host(Z)) = elec_2) & 67.59/67.93 (host(Pid30) = host(Pid0)) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Pid0))) & 67.59/67.93 (![V0]: 67.59/67.93 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 67.59/67.93 (setIn(V0,index(down,host(Pid0))) | (host(Pid20) = V0))))) => 67.59/67.93 (~elem(m_Ack(Z,Pid30),queue(host(Z)))))) & 67.59/67.93 (cons(m_Ack(W,Y),V) = queue(host(X))) & 67.59/67.93 (![Z,Pid30,Pid20,Pid0]: 67.59/67.93 (((![V0]: 67.59/67.93 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 67.59/67.93 ((V0 = host(Pid20)) | setIn(V0,index(down,host(Pid0)))))) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Pid0))) & 67.59/67.93 elem(m_Down(Pid30),queue(host(Pid0))) & 67.59/67.93 (s(host(Pid0)) = host(Pid30)) & 67.59/67.93 (elec_1 = index(status,host(Pid0))) & 67.59/67.93 leq(nbr_proc,s(host(Pid0))) & setIn(Pid0,alive)) => 67.59/67.93 (~ 67.59/67.93 ((index(status,host(Z)) = norm) & 67.59/67.93 (index(ldr,host(Z)) = host(Z)) & setIn(Z,alive))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((wait = index(status,host(Pid0))) & 67.59/67.93 (host(index(elid,host(Pid0))) = host(Pid20)) & 67.59/67.93 (host(Z) = host(Pid20)) & elem(m_Down(Z),queue(host(Pid0))) & 67.59/67.93 setIn(Pid0,alive) & (host(Pid20) != host(Pid0))) => 67.59/67.93 (~ 67.59/67.93 ((host(Pid20) = index(ldr,host(Pid20))) & 67.59/67.93 (norm = index(status,host(Pid20))) & setIn(Pid20,alive))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 ((setIn(Pid0,alive) & elem(m_Down(Z),queue(host(Pid0))) & 67.59/67.93 (host(Pid20) = index(ldr,host(Pid0))) & 67.59/67.93 (index(status,host(Pid0)) = norm) & (host(Z) = host(Pid20)) & 67.59/67.93 (host(Pid20) != host(Pid0))) => 67.59/67.93 (~ 67.59/67.93 ((index(status,host(Pid20)) = norm) & 67.59/67.93 (host(Pid20) = index(ldr,host(Pid20))) & setIn(Pid20,alive))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((host(Pid20) = host(Z)) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Pid0))) & setIn(Pid0,alive) & 67.59/67.93 (~leq(host(Pid20),host(Pid0)))) => 67.59/67.93 (~ 67.59/67.93 ((index(status,host(Z)) = norm) & 67.59/67.93 (index(ldr,host(Z)) = host(Z)) & setIn(Z,alive))))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 ((setIn(Pid0,alive) & (host(Z) = index(ldr,host(Z))) & 67.59/67.93 (index(status,host(Pid0)) = norm) & 67.59/67.93 (host(Pid0) = index(ldr,host(Pid0))) & 67.59/67.93 (norm = index(status,host(Z))) & setIn(Z,alive)) => 67.59/67.93 (Pid0 = Z))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((host(Pid0) = host(Pid20)) & 67.59/67.93 (norm = index(status,host(Pid0))) & 67.59/67.93 (index(ldr,host(Pid0)) = host(Pid0)) & setIn(Pid0,alive)) => 67.59/67.93 (~(setIn(Z,alive) & elem(m_Down(Pid20),queue(host(Z))))))) & 67.59/67.93 (![Z,Pid20,Pid0]: 67.59/67.93 (((elec_2 = index(status,host(Pid0))) & 67.59/67.93 (host(Pid20) = host(Pid0)) & 67.59/67.93 elem(m_Down(Pid20),queue(host(Z))) & setIn(Pid0,alive) & 67.59/67.93 setIn(Z,alive)) => 67.59/67.93 leq(index(pendack,host(Pid0)),host(Z)))) & 67.59/67.93 (![Z,Pid0]: 67.59/67.93 (((norm = index(status,host(Pid0))) & 67.59/67.93 (host(Pid0) = index(ldr,host(Pid0))) & setIn(Pid0,alive)) => 67.59/67.93 (~(setIn(host(Pid0),index(down,host(Z))) & setIn(Z,alive)))))) => 67.59/67.93 (setIn(X,alive) => 67.59/67.93 (((index(elid,host(X)) = W) & (index(status,host(X)) = elec_2) & 67.59/67.93 (index(pendack,host(X)) = host(Y))) => 67.59/67.93 (leq(nbr_proc,index(pendack,host(X))) => 67.59/67.93 (![Z]: 67.59/67.93 ((~((host(Y) = host(Z)) | setIn(host(Z),index(acks,host(X))))) => 67.59/67.93 (![V0]: 67.59/67.93 ((host(V0) = host(X)) => 67.59/67.93 (![W0,X0,Y0]: 67.59/67.93 ((host(Y0) != host(X)) => 67.59/67.93 (((![V1]: 67.59/67.93 ((leq(s(zero),V1) & (~leq(host(Y0),V1))) => 67.59/67.93 (setIn(V1,index(down,host(Y0))) | 67.59/67.93 (host(X0) = V1)))) & 67.59/67.93 setIn(Y0,alive) & 67.59/67.93 elem(m_Down(X0),queue(host(Y0))) & 67.59/67.93 (index(status,host(Y0)) = elec_1) & 67.59/67.93 (s(host(Y0)) = host(W0)) & 67.59/67.93 elem(m_Down(W0),queue(host(Y0))) & 67.59/67.93 leq(nbr_proc,s(host(Y0)))) => 67.59/67.93 (~(setIn(V0,alive) & (host(X) = host(V0)))))))))))))))))). 67.59/67.93 tff('1', plain, 67.59/67.93 ![X134]: 67.59/67.93 (host(sk_X0) = X134 67.59/67.93 | setIn(X134, index(down, host(sk_Y0))) 67.59/67.93 | leq(host(sk_Y0), X134) 67.59/67.93 | ~ leq(s(zero), X134)), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('2', plain, 67.59/67.93 ![X0]: 67.59/67.93 (host(sk_X0) = host(X0) 67.59/67.93 | setIn(host(X0), index(down, host(sk_Y0))) 67.59/67.93 | leq(host(sk_Y0), host(X0))), 67.59/67.93 inference('s_sup-', [status(thm)], ['0', '1'])). 67.59/67.93 tff('3', plain, setIn(sk_X, alive), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('4', plain, index(elid, host(sk_X)) = sk_W, 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('5', plain, 67.59/67.93 ![X141]: 67.59/67.93 (index(elid, host(X141)) = X141 67.59/67.93 | index(status, host(X141)) != elec_2 67.59/67.93 | ~ setIn(X141, alive)), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('6', plain, 67.59/67.93 (sk_W = sk_X | index(status, host(sk_X)) != elec_2 | ~ setIn(sk_X, alive)), 67.59/67.93 inference('s_sup+', [status(thm)], ['4', '5'])). 67.59/67.93 tff('7', plain, index(status, host(sk_X)) = elec_2, 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('8', plain, setIn(sk_X, alive), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('9', plain, (sk_W = sk_X | elec_2 != elec_2), 67.59/67.93 inference('demod', [status(thm)], ['6', '7', '8'])). 67.59/67.93 tff('10', plain, sk_W = sk_X, inference('simplify', [status(thm)], ['9'])). 67.59/67.93 tff('11', plain, setIn(sk_W, alive), 67.59/67.93 inference('demod', [status(thm)], ['3', '10'])). 67.59/67.93 tff('12', plain, setIn(sk_Y0, alive), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('13', plain, 67.59/67.93 ![X142, X143]: 67.59/67.93 (~ setIn(X142, alive) 67.59/67.93 | ~ setIn(X143, alive) 67.59/67.93 | ~ setIn(host(X143), index(down, host(X142))) 67.59/67.93 | elec_2 != index(status, host(X143)) 67.59/67.93 | leq(index(pendack, host(X143)), host(X142))), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('14', plain, 67.59/67.93 ![X0]: 67.59/67.93 (~ setIn(X0, alive) 67.59/67.93 | ~ setIn(host(X0), index(down, host(sk_Y0))) 67.59/67.93 | elec_2 != index(status, host(X0)) 67.59/67.93 | leq(index(pendack, host(X0)), host(sk_Y0))), 67.59/67.93 inference('s_sup-', [status(thm)], ['12', '13'])). 67.59/67.93 tff('15', plain, 67.59/67.93 (~ setIn(host(sk_W), index(down, host(sk_Y0))) 67.59/67.93 | elec_2 != index(status, host(sk_W)) 67.59/67.93 | leq(index(pendack, host(sk_W)), host(sk_Y0))), 67.59/67.93 inference('s_sup-', [status(thm)], ['11', '14'])). 67.59/67.93 tff('16', plain, index(status, host(sk_X)) = elec_2, 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('17', plain, sk_W = sk_X, inference('simplify', [status(thm)], ['9'])). 67.59/67.93 tff('18', plain, index(status, host(sk_W)) = elec_2, 67.59/67.93 inference('demod', [status(thm)], ['16', '17'])). 67.59/67.93 tff('19', plain, leq(nbr_proc, index(pendack, host(sk_X))), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff(axiom_61, axiom, (![X,Y]: ((leq(X,Y) & leq(Y,X)) <=> (X = Y)))). 67.59/67.93 tff('20', plain, 67.59/67.93 ![X20, X21]: (X21 = X20 | ~ leq(X20, X21) | ~ leq(X21, X20)), 67.59/67.93 inference('cnf', [status(esa)], [axiom_61])). 67.59/67.93 tff('21', plain, 67.59/67.93 (index(pendack, host(sk_X)) = nbr_proc 67.59/67.93 | ~ leq(index(pendack, host(sk_X)), nbr_proc)), 67.59/67.93 inference('s_sup-', [status(thm)], ['19', '20'])). 67.59/67.93 tff('22', plain, index(pendack, host(sk_X)) = host(sk_Y_3), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff(axiom_04, axiom, (![P]: leq(host(P),nbr_proc))). 67.59/67.93 tff('23', plain, ![X99]: leq(host(X99), nbr_proc), 67.59/67.93 inference('cnf', [status(esa)], [axiom_04])). 67.59/67.93 tff('24', plain, leq(index(pendack, host(sk_X)), nbr_proc), 67.59/67.93 inference('s_sup+', [status(thm)], ['22', '23'])). 67.59/67.93 tff('25', plain, index(pendack, host(sk_X)) = nbr_proc, 67.59/67.93 inference('demod', [status(thm)], ['21', '24'])). 67.59/67.93 tff('26', plain, sk_W = sk_X, inference('simplify', [status(thm)], ['9'])). 67.59/67.93 tff('27', plain, index(pendack, host(sk_W)) = nbr_proc, 67.59/67.93 inference('demod', [status(thm)], ['25', '26'])). 67.59/67.93 tff('28', plain, 67.59/67.93 (~ setIn(host(sk_W), index(down, host(sk_Y0))) 67.59/67.93 | elec_2 != elec_2 67.59/67.93 | leq(nbr_proc, host(sk_Y0))), 67.59/67.93 inference('demod', [status(thm)], ['15', '18', '27'])). 67.59/67.93 tff('29', plain, 67.59/67.93 ( leq(nbr_proc, host(sk_Y0)) 67.59/67.93 | ~ setIn(host(sk_W), index(down, host(sk_Y0)))), 67.59/67.93 inference('simplify', [status(thm)], ['28'])). 67.59/67.93 tff('30', plain, s(host(sk_Y0)) = host(sk_W0), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff(axiom_58, axiom, (![X]: (~leq(s(X),X)))). 67.59/67.93 tff('31', plain, ![X53]: ~ leq(s(X53), X53), 67.59/67.93 inference('cnf', [status(esa)], [axiom_58])). 67.59/67.93 tff('32', plain, ~ leq(host(sk_W0), host(sk_Y0)), 67.59/67.93 inference('s_sup-', [status(thm)], ['30', '31'])). 67.59/67.93 tff('33', plain, leq(nbr_proc, s(host(sk_Y0))), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('34', plain, s(host(sk_Y0)) = host(sk_W0), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('35', plain, leq(nbr_proc, host(sk_W0)), 67.59/67.93 inference('demod', [status(thm)], ['33', '34'])). 67.59/67.93 tff('36', plain, 67.59/67.93 ![X20, X21]: (X21 = X20 | ~ leq(X20, X21) | ~ leq(X21, X20)), 67.59/67.93 inference('cnf', [status(esa)], [axiom_61])). 67.59/67.93 tff('37', plain, (host(sk_W0) = nbr_proc | ~ leq(host(sk_W0), nbr_proc)), 67.59/67.93 inference('s_sup-', [status(thm)], ['35', '36'])). 67.59/67.93 tff('38', plain, ![X99]: leq(host(X99), nbr_proc), 67.59/67.93 inference('cnf', [status(esa)], [axiom_04])). 67.59/67.93 tff('39', plain, host(sk_W0) = nbr_proc, 67.59/67.93 inference('demod', [status(thm)], ['37', '38'])). 67.59/67.93 tff('40', plain, ~ leq(nbr_proc, host(sk_Y0)), 67.59/67.93 inference('demod', [status(thm)], ['32', '39'])). 67.59/67.93 tff('41', plain, ~ setIn(host(sk_W), index(down, host(sk_Y0))), 67.59/67.93 inference('clc', [status(thm)], ['29', '40'])). 67.59/67.93 tff('42', plain, ( leq(host(sk_Y0), host(sk_W)) | host(sk_X0) = host(sk_W)), 67.59/67.93 inference('s_sup-', [status(thm)], ['2', '41'])). 67.59/67.93 tff('43', plain, ![X99]: leq(host(X99), nbr_proc), 67.59/67.93 inference('cnf', [status(esa)], [axiom_04])). 67.59/67.93 tff('44', plain, s(host(sk_Y0)) = host(sk_W0), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('45', plain, host(sk_W0) = nbr_proc, 67.59/67.93 inference('demod', [status(thm)], ['37', '38'])). 67.59/67.93 tff('46', plain, s(host(sk_Y0)) = nbr_proc, 67.59/67.93 inference('demod', [status(thm)], ['44', '45'])). 67.59/67.93 tff(axiom_64, axiom, (![X,Y]: (((X = s(Y)) | leq(X,Y)) <=> leq(X,s(Y))))). 67.59/67.93 tff('47', plain, 67.59/67.93 ![X107, X109]: ( leq(X107, X109) | X107 = s(X109) | ~ leq(X107, s(X109))), 67.59/67.93 inference('cnf', [status(esa)], [axiom_64])). 67.59/67.93 tff('48', plain, 67.59/67.93 ![X0]: ( leq(X0, host(sk_Y0)) | X0 = nbr_proc | ~ leq(X0, nbr_proc)), 67.59/67.93 inference('s_sup-', [status(thm)], ['46', '47'])). 67.59/67.93 tff('49', plain, 67.59/67.93 ![X20, X21]: (X21 = X20 | ~ leq(X20, X21) | ~ leq(X21, X20)), 67.59/67.93 inference('cnf', [status(esa)], [axiom_61])). 67.59/67.93 tff('50', plain, 67.59/67.93 ![X0]: 67.59/67.93 (~ leq(X0, nbr_proc) 67.59/67.93 | X0 = nbr_proc 67.59/67.93 | host(sk_Y0) = X0 67.59/67.93 | ~ leq(host(sk_Y0), X0)), 67.59/67.93 inference('s_sup-', [status(thm)], ['48', '49'])). 67.59/67.93 tff('51', plain, 67.59/67.93 ![X0]: 67.59/67.93 (host(X0) = nbr_proc 67.59/67.93 | host(sk_Y0) = host(X0) 67.59/67.93 | ~ leq(host(sk_Y0), host(X0))), 67.59/67.93 inference('s_sup-', [status(thm)], ['43', '50'])). 67.59/67.93 tff('52', plain, 67.59/67.93 (host(sk_X0) = host(sk_W) 67.59/67.93 | host(sk_W) = nbr_proc 67.59/67.93 | host(sk_Y0) = host(sk_W)), 67.59/67.93 inference('s_sup-', [status(thm)], ['42', '51'])). 67.59/67.93 tff('53', plain, host(sk_Y0) != host(sk_X), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('54', plain, sk_W = sk_X, inference('simplify', [status(thm)], ['9'])). 67.59/67.93 tff('55', plain, host(sk_Y0) != host(sk_W), 67.59/67.93 inference('demod', [status(thm)], ['53', '54'])). 67.59/67.93 tff('56', plain, (host(sk_X0) = host(sk_W) | host(sk_W) = nbr_proc), 67.59/67.93 inference('simplify_reflect-', [status(thm)], ['52', '55'])). 67.59/67.93 tff('57', plain, setIn(sk_W, alive), 67.59/67.93 inference('demod', [status(thm)], ['3', '10'])). 67.59/67.93 tff('58', plain, setIn(sk_Y0, alive), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('59', plain, 67.59/67.93 ![X174, X175, X176]: 67.59/67.93 (~ setIn(X174, alive) 67.59/67.93 | ~ elem(m_Down(X175), queue(host(X174))) 67.59/67.93 | elec_2 != index(status, host(X176)) 67.59/67.93 | host(X175) != host(X176) 67.59/67.93 | ~ setIn(X176, alive) 67.59/67.93 | leq(index(pendack, host(X176)), host(X174))), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('60', plain, 67.59/67.93 ![X0, X1]: 67.59/67.93 (~ elem(m_Down(X0), queue(host(sk_Y0))) 67.59/67.93 | elec_2 != index(status, host(X1)) 67.59/67.93 | host(X0) != host(X1) 67.59/67.93 | ~ setIn(X1, alive) 67.59/67.93 | leq(index(pendack, host(X1)), host(sk_Y0))), 67.59/67.93 inference('s_sup-', [status(thm)], ['58', '59'])). 67.59/67.93 tff('61', plain, 67.59/67.93 ![X0]: 67.59/67.93 (~ elem(m_Down(X0), queue(host(sk_Y0))) 67.59/67.93 | elec_2 != index(status, host(sk_W)) 67.59/67.93 | host(X0) != host(sk_W) 67.59/67.93 | leq(index(pendack, host(sk_W)), host(sk_Y0))), 67.59/67.93 inference('s_sup-', [status(thm)], ['57', '60'])). 67.59/67.93 tff('62', plain, index(status, host(sk_W)) = elec_2, 67.59/67.93 inference('demod', [status(thm)], ['16', '17'])). 67.59/67.93 tff('63', plain, index(pendack, host(sk_W)) = nbr_proc, 67.59/67.93 inference('demod', [status(thm)], ['25', '26'])). 67.59/67.93 tff('64', plain, 67.59/67.93 ![X0]: 67.59/67.93 (~ elem(m_Down(X0), queue(host(sk_Y0))) 67.59/67.93 | elec_2 != elec_2 67.59/67.93 | host(X0) != host(sk_W) 67.59/67.93 | leq(nbr_proc, host(sk_Y0))), 67.59/67.93 inference('demod', [status(thm)], ['61', '62', '63'])). 67.59/67.93 tff('65', plain, 67.59/67.93 ![X0]: 67.59/67.93 ( leq(nbr_proc, host(sk_Y0)) 67.59/67.93 | host(X0) != host(sk_W) 67.59/67.93 | ~ elem(m_Down(X0), queue(host(sk_Y0)))), 67.59/67.93 inference('simplify', [status(thm)], ['64'])). 67.59/67.93 tff('66', plain, ~ leq(nbr_proc, host(sk_Y0)), 67.59/67.93 inference('demod', [status(thm)], ['32', '39'])). 67.59/67.93 tff('67', plain, 67.59/67.93 ![X0]: (~ elem(m_Down(X0), queue(host(sk_Y0))) | host(X0) != host(sk_W)), 67.59/67.93 inference('clc', [status(thm)], ['65', '66'])). 67.59/67.93 tff('68', plain, 67.59/67.93 (host(sk_W) = nbr_proc 67.59/67.93 | ~ elem(m_Down(sk_X0), queue(host(sk_Y0))) 67.59/67.93 | host(sk_W) != host(sk_W)), 67.59/67.93 inference('s_sup-', [status(thm)], ['56', '67'])). 67.59/67.93 tff('69', plain, elem(m_Down(sk_X0), queue(host(sk_Y0))), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('70', plain, (host(sk_W) = nbr_proc | host(sk_W) != host(sk_W)), 67.59/67.93 inference('demod', [status(thm)], ['68', '69'])). 67.59/67.93 tff('71', plain, host(sk_W) = nbr_proc, 67.59/67.93 inference('simplify', [status(thm)], ['70'])). 67.59/67.93 tff('72', plain, host(sk_W0) = nbr_proc, 67.59/67.93 inference('demod', [status(thm)], ['37', '38'])). 67.59/67.93 tff('73', plain, 67.59/67.93 ![X0]: (~ elem(m_Down(X0), queue(host(sk_Y0))) | host(X0) != host(sk_W)), 67.59/67.93 inference('clc', [status(thm)], ['65', '66'])). 67.59/67.93 tff('74', plain, 67.59/67.93 (~ elem(m_Down(sk_W0), queue(host(sk_Y0))) | nbr_proc != host(sk_W)), 67.59/67.93 inference('s_sup-', [status(thm)], ['72', '73'])). 67.59/67.93 tff('75', plain, elem(m_Down(sk_W0), queue(host(sk_Y0))), 67.59/67.93 inference('cnf', [status(esa)], [zf_stmt_0])). 67.59/67.93 tff('76', plain, nbr_proc != host(sk_W), 67.59/67.93 inference('demod', [status(thm)], ['74', '75'])). 67.59/67.93 tff('77', plain, $false, 67.59/67.93 inference('simplify_reflect-', [status(thm)], ['71', '76'])). 67.59/67.93 67.59/67.93 % SZS output end Refutation 67.59/67.93 67.59/67.94 % Zipperpin 1.5 exiting 67.59/67.94 EOF