0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.UhEYipIAUS 0.13/0.34 % Computer : n012.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % DateTime : Thu Jul 2 07:07:21 EDT 2020 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in FO mode 1.14/1.37 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 1.14/1.37 % Solved by: fo/fo7.sh 1.14/1.37 To remain in the chosen logic fragment, unification with booleans has been disabled. 1.14/1.37 % done 2026 iterations in 0.921s 1.14/1.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.14/1.37 % SZS output start Refutation 1.14/1.37 tff(conj, conjecture, 1.14/1.37 (![V,W,X,Y]: 1.14/1.37 (((![Z,Pid0]: 1.14/1.37 (elem(m_Ldr(Pid0),queue(host(Z))) => (~leq(host(Z),host(Pid0))))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 (elem(m_Ack(Pid0,Z),queue(host(Pid20))) => 1.14/1.37 (~leq(host(Z),host(Pid0))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (((elec_1 = index(status,host(Pid0))) & setIn(Pid0,alive)) => 1.14/1.37 (~elem(m_Ack(Pid0,Z),queue(host(Pid0)))))) & 1.14/1.37 (![Z]: 1.14/1.37 ((setIn(Z,alive) & 1.14/1.37 ((index(status,host(Z)) = elec_1) | 1.14/1.37 (index(status,host(Z)) = elec_2))) => 1.14/1.37 (index(elid,host(Z)) = Z))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 (((host(Z) = host(Pid20)) & 1.14/1.37 elem(m_Down(Pid20),queue(host(Pid0))) & setIn(Pid0,alive)) => 1.14/1.37 (~ 1.14/1.37 ((index(ldr,host(Z)) = host(Z)) & 1.14/1.37 (index(status,host(Z)) = norm) & setIn(Z,alive))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 ((setIn(Z,alive) & (elec_2 = index(status,host(Z))) & 1.14/1.37 (index(status,host(Pid0)) = elec_2) & setIn(Pid0,alive) & 1.14/1.37 (~leq(host(Z),host(Pid0)))) => 1.14/1.37 (~leq(index(pendack,host(Z)),index(pendack,host(Pid0)))))) & 1.14/1.37 (![Z,Pid30,Pid20,Pid0]: 1.14/1.37 ((elem(m_Down(Pid20),queue(host(Pid0))) & 1.14/1.37 (elec_1 = index(status,host(Pid0))) & 1.14/1.37 (host(Pid30) = host(Pid0)) & (host(Pid0) = nbr_proc) & 1.14/1.37 (![V0]: 1.14/1.37 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 1.14/1.37 (setIn(V0,index(down,host(Pid0))) | (host(Pid20) = V0))))) => 1.14/1.37 (~(setIn(Z,alive) & elem(m_Down(Pid30),queue(host(Z))))))) & 1.14/1.37 (![Z,Pid30,Pid20,Pid0]: 1.14/1.37 ((setIn(Pid0,alive) & leq(nbr_proc,s(index(pendack,host(Pid0)))) & 1.14/1.37 (s(index(pendack,host(Pid0))) = host(Pid20)) & 1.14/1.37 (index(pendack,host(Pid0)) = host(Pid30)) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & 1.14/1.37 elem(m_Ack(Pid0,Pid30),queue(host(Pid0))) & 1.14/1.37 elem(m_Down(Pid20),queue(host(Pid0)))) => 1.14/1.37 (~ 1.14/1.37 ((index(status,host(Z)) = norm) & 1.14/1.37 (index(ldr,host(Z)) = host(Z)) & setIn(Z,alive))))) & 1.14/1.37 (cons(m_Ack(W,Y),V) = queue(host(X))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 (((~leq(index(pendack,host(Pid0)),host(Z))) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & 1.14/1.37 elem(m_Halt(Pid0),queue(host(Pid20))) & setIn(Pid0,alive)) => 1.14/1.37 (~ 1.14/1.37 (setIn(Z,alive) & (norm = index(status,host(Z))) & 1.14/1.37 (host(Z) = index(ldr,host(Z))))))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 ((setIn(Pid0,alive) & (index(status,host(Z)) = elec_2) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & 1.14/1.37 (host(Pid20) = host(Pid0)) & setIn(Z,alive)) => 1.14/1.37 (~elem(m_Ack(Z,Pid20),queue(host(Z)))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 ((setIn(Pid0,alive) & (elec_2 = index(status,host(Z))) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & setIn(Z,alive) & 1.14/1.37 (~leq(host(Z),host(Pid0)))) => 1.14/1.37 leq(index(pendack,host(Pid0)),host(Z)))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 ((elem(m_Ack(Pid0,Z),queue(host(Pid0))) & setIn(Pid0,alive)) => 1.14/1.37 leq(host(Z),index(pendack,host(Pid0))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (((Pid0 != Z) & (host(Pid0) = host(Z))) => 1.14/1.37 ((~setIn(Pid0,alive)) | (~setIn(Z,alive))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (elem(m_Halt(Pid0),queue(host(Z))) => (~leq(host(Z),host(Pid0))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (elem(m_Down(Pid0),queue(host(Z))) => (host(Z) != host(Pid0))))) => 1.14/1.37 (setIn(X,alive) => 1.14/1.37 (((index(status,host(X)) = elec_2) & 1.14/1.37 (index(pendack,host(X)) = host(Y)) & (W = index(elid,host(X)))) => 1.14/1.37 (leq(nbr_proc,index(pendack,host(X))) => 1.14/1.37 (![Z]: 1.14/1.37 ((setIn(host(Z),index(acks,host(X))) | (host(Y) = host(Z))) => 1.14/1.37 (![V0]: 1.14/1.37 ((host(X) != host(V0)) => 1.14/1.37 (![W0,X0,Y0]: 1.14/1.37 ((host(Z) = host(Y0)) => 1.14/1.37 ((host(Y0) != host(X)) => 1.14/1.37 ((setIn(Y0,alive) & 1.14/1.37 (host(X0) = s(index(pendack,host(Y0)))) & 1.14/1.37 (host(W0) = index(pendack,host(Y0))) & 1.14/1.37 (index(status,host(Y0)) = elec_2) & 1.14/1.37 elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X))) & 1.14/1.37 elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X))) & 1.14/1.37 leq(nbr_proc,s(index(pendack,host(Y0))))) => 1.14/1.37 (~ 1.14/1.37 ((norm = index(status,host(V0))) & 1.14/1.37 (host(V0) = index(ldr,host(V0))) & setIn(V0,alive))))))))))))))))). 1.14/1.37 tff(zf_stmt_0, negated_conjecture, 1.14/1.37 (~ 1.14/1.37 (![V,W,X,Y]: 1.14/1.37 (((![Z,Pid0]: 1.14/1.37 (elem(m_Ldr(Pid0),queue(host(Z))) => (~leq(host(Z),host(Pid0))))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 (elem(m_Ack(Pid0,Z),queue(host(Pid20))) => 1.14/1.37 (~leq(host(Z),host(Pid0))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (((elec_1 = index(status,host(Pid0))) & setIn(Pid0,alive)) => 1.14/1.37 (~elem(m_Ack(Pid0,Z),queue(host(Pid0)))))) & 1.14/1.37 (![Z]: 1.14/1.37 ((setIn(Z,alive) & 1.14/1.37 ((index(status,host(Z)) = elec_1) | 1.14/1.37 (index(status,host(Z)) = elec_2))) => 1.14/1.37 (index(elid,host(Z)) = Z))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 (((host(Z) = host(Pid20)) & 1.14/1.37 elem(m_Down(Pid20),queue(host(Pid0))) & setIn(Pid0,alive)) => 1.14/1.37 (~ 1.14/1.37 ((index(ldr,host(Z)) = host(Z)) & 1.14/1.37 (index(status,host(Z)) = norm) & setIn(Z,alive))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 ((setIn(Z,alive) & (elec_2 = index(status,host(Z))) & 1.14/1.37 (index(status,host(Pid0)) = elec_2) & setIn(Pid0,alive) & 1.14/1.37 (~leq(host(Z),host(Pid0)))) => 1.14/1.37 (~leq(index(pendack,host(Z)),index(pendack,host(Pid0)))))) & 1.14/1.37 (![Z,Pid30,Pid20,Pid0]: 1.14/1.37 ((elem(m_Down(Pid20),queue(host(Pid0))) & 1.14/1.37 (elec_1 = index(status,host(Pid0))) & 1.14/1.37 (host(Pid30) = host(Pid0)) & (host(Pid0) = nbr_proc) & 1.14/1.37 (![V0]: 1.14/1.37 (((~leq(host(Pid0),V0)) & leq(s(zero),V0)) => 1.14/1.37 (setIn(V0,index(down,host(Pid0))) | (host(Pid20) = V0))))) => 1.14/1.37 (~(setIn(Z,alive) & elem(m_Down(Pid30),queue(host(Z))))))) & 1.14/1.37 (![Z,Pid30,Pid20,Pid0]: 1.14/1.37 ((setIn(Pid0,alive) & 1.14/1.37 leq(nbr_proc,s(index(pendack,host(Pid0)))) & 1.14/1.37 (s(index(pendack,host(Pid0))) = host(Pid20)) & 1.14/1.37 (index(pendack,host(Pid0)) = host(Pid30)) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & 1.14/1.37 elem(m_Ack(Pid0,Pid30),queue(host(Pid0))) & 1.14/1.37 elem(m_Down(Pid20),queue(host(Pid0)))) => 1.14/1.37 (~ 1.14/1.37 ((index(status,host(Z)) = norm) & 1.14/1.37 (index(ldr,host(Z)) = host(Z)) & setIn(Z,alive))))) & 1.14/1.37 (cons(m_Ack(W,Y),V) = queue(host(X))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 (((~leq(index(pendack,host(Pid0)),host(Z))) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & 1.14/1.37 elem(m_Halt(Pid0),queue(host(Pid20))) & setIn(Pid0,alive)) => 1.14/1.37 (~ 1.14/1.37 (setIn(Z,alive) & (norm = index(status,host(Z))) & 1.14/1.37 (host(Z) = index(ldr,host(Z))))))) & 1.14/1.37 (![Z,Pid20,Pid0]: 1.14/1.37 ((setIn(Pid0,alive) & (index(status,host(Z)) = elec_2) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & 1.14/1.37 (host(Pid20) = host(Pid0)) & setIn(Z,alive)) => 1.14/1.37 (~elem(m_Ack(Z,Pid20),queue(host(Z)))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 ((setIn(Pid0,alive) & (elec_2 = index(status,host(Z))) & 1.14/1.37 (elec_2 = index(status,host(Pid0))) & setIn(Z,alive) & 1.14/1.37 (~leq(host(Z),host(Pid0)))) => 1.14/1.37 leq(index(pendack,host(Pid0)),host(Z)))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 ((elem(m_Ack(Pid0,Z),queue(host(Pid0))) & setIn(Pid0,alive)) => 1.14/1.37 leq(host(Z),index(pendack,host(Pid0))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (((Pid0 != Z) & (host(Pid0) = host(Z))) => 1.14/1.37 ((~setIn(Pid0,alive)) | (~setIn(Z,alive))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (elem(m_Halt(Pid0),queue(host(Z))) => (~leq(host(Z),host(Pid0))))) & 1.14/1.37 (![Z,Pid0]: 1.14/1.37 (elem(m_Down(Pid0),queue(host(Z))) => (host(Z) != host(Pid0))))) => 1.14/1.37 (setIn(X,alive) => 1.14/1.37 (((index(status,host(X)) = elec_2) & 1.14/1.37 (index(pendack,host(X)) = host(Y)) & (W = index(elid,host(X)))) => 1.14/1.37 (leq(nbr_proc,index(pendack,host(X))) => 1.14/1.37 (![Z]: 1.14/1.37 ((setIn(host(Z),index(acks,host(X))) | (host(Y) = host(Z))) => 1.14/1.37 (![V0]: 1.14/1.37 ((host(X) != host(V0)) => 1.14/1.37 (![W0,X0,Y0]: 1.14/1.37 ((host(Z) = host(Y0)) => 1.14/1.37 ((host(Y0) != host(X)) => 1.14/1.37 ((setIn(Y0,alive) & 1.14/1.37 (host(X0) = s(index(pendack,host(Y0)))) & 1.14/1.37 (host(W0) = index(pendack,host(Y0))) & 1.14/1.37 (index(status,host(Y0)) = elec_2) & 1.14/1.37 elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X))) & 1.14/1.37 elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X))) & 1.14/1.37 leq(nbr_proc,s(index(pendack,host(Y0))))) => 1.14/1.37 (~ 1.14/1.37 ((norm = index(status,host(V0))) & 1.14/1.37 (host(V0) = index(ldr,host(V0))) & 1.14/1.37 setIn(V0,alive)))))))))))))))))). 1.14/1.37 tff('0', plain, elem(m_Down(sk_X0), snoc(queue(host(sk_Y0)), m_Ldr(sk_X))), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('1', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('2', plain, elem(m_Down(sk_X0), snoc(queue(host(sk_Z)), m_Ldr(sk_X))), 1.14/1.37 inference('demod', [status(thm)], ['0', '1'])). 1.14/1.37 tff(axiom_47, axiom, 1.14/1.37 (![X,Y,Q]: (elem(X,snoc(Q,Y)) <=> ((X = Y) | elem(X,Q))))). 1.14/1.37 tff('3', plain, 1.14/1.37 ![X73, X74, X75]: 1.14/1.37 ( elem(X73, X74) | X73 = X75 | ~ elem(X73, snoc(X74, X75))), 1.14/1.37 inference('cnf', [status(esa)], [axiom_47])). 1.14/1.37 tff('4', plain, 1.14/1.37 (m_Down(sk_X0) = m_Ldr(sk_X) | elem(m_Down(sk_X0), queue(host(sk_Z)))), 1.14/1.37 inference('sup-', [status(thm)], ['2', '3'])). 1.14/1.37 tff(axiom_18, axiom, (![X,Y]: (m_Ldr(Y) != m_Down(X)))). 1.14/1.37 tff('5', plain, ![X51, X52]: m_Ldr(X52) != m_Down(X51), 1.14/1.37 inference('cnf', [status(esa)], [axiom_18])). 1.14/1.37 tff('6', plain, elem(m_Down(sk_X0), queue(host(sk_Z))), 1.14/1.37 inference('clc', [status(thm)], ['4', '5'])). 1.14/1.37 tff('7', plain, 1.14/1.37 elem(m_Ack(sk_Y0, sk_W0), snoc(queue(host(sk_Y0)), m_Ldr(sk_X))), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('8', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('9', plain, 1.14/1.37 elem(m_Ack(sk_Y0, sk_W0), snoc(queue(host(sk_Z)), m_Ldr(sk_X))), 1.14/1.37 inference('demod', [status(thm)], ['7', '8'])). 1.14/1.37 tff('10', plain, index(status, host(sk_X)) = elec_2, 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('11', plain, 1.14/1.37 ![X141]: 1.14/1.37 (index(elid, host(X141)) = X141 1.14/1.37 | index(status, host(X141)) != elec_2 1.14/1.37 | ~ setIn(X141, alive)), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('12', plain, 1.14/1.37 (elec_2 != elec_2 | ~ setIn(sk_X, alive) | index(elid, host(sk_X)) = sk_X), 1.14/1.37 inference('sup-', [status(thm)], ['10', '11'])). 1.14/1.37 tff('13', plain, setIn(sk_X, alive), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('14', plain, sk_W = index(elid, host(sk_X)), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('15', plain, (elec_2 != elec_2 | sk_W = sk_X), 1.14/1.37 inference('demod', [status(thm)], ['12', '13', '14'])). 1.14/1.37 tff('16', plain, sk_W = sk_X, inference('simplify', [status(thm)], ['15'])). 1.14/1.37 tff('17', plain, 1.14/1.37 elem(m_Ack(sk_Y0, sk_W0), snoc(queue(host(sk_Z)), m_Ldr(sk_W))), 1.14/1.37 inference('demod', [status(thm)], ['9', '16'])). 1.14/1.37 tff('18', plain, 1.14/1.37 ![X73, X74, X75]: 1.14/1.37 ( elem(X73, X74) | X73 = X75 | ~ elem(X73, snoc(X74, X75))), 1.14/1.37 inference('cnf', [status(esa)], [axiom_47])). 1.14/1.37 tff('19', plain, 1.14/1.37 (m_Ack(sk_Y0, sk_W0) = m_Ldr(sk_W) 1.14/1.37 | elem(m_Ack(sk_Y0, sk_W0), queue(host(sk_Z)))), 1.14/1.37 inference('sup-', [status(thm)], ['17', '18'])). 1.14/1.37 tff(axiom_14, axiom, (![X,Y,Z]: (m_Ldr(Z) != m_Ack(X,Y)))). 1.14/1.37 tff('20', plain, ![X8, X9, X10]: m_Ldr(X10) != m_Ack(X8, X9), 1.14/1.37 inference('cnf', [status(esa)], [axiom_14])). 1.14/1.37 tff('21', plain, elem(m_Ack(sk_Y0, sk_W0), queue(host(sk_Z))), 1.14/1.37 inference('clc', [status(thm)], ['19', '20'])). 1.14/1.37 tff('22', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('23', plain, 1.14/1.37 ![X151, X152, X153, X154]: 1.14/1.37 (~ setIn(X151, alive) 1.14/1.37 | index(ldr, host(X151)) != host(X151) 1.14/1.37 | index(status, host(X151)) != norm 1.14/1.37 | ~ setIn(X152, alive) 1.14/1.37 | ~ leq(nbr_proc, s(index(pendack, host(X152)))) 1.14/1.37 | s(index(pendack, host(X152))) != host(X153) 1.14/1.37 | index(pendack, host(X152)) != host(X154) 1.14/1.37 | elec_2 != index(status, host(X152)) 1.14/1.37 | ~ elem(m_Ack(X152, X154), queue(host(X152))) 1.14/1.37 | ~ elem(m_Down(X153), queue(host(X152)))), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('24', plain, 1.14/1.37 (![X152, X153, X154]: 1.14/1.37 (elec_2 != index(status, host(X152)) 1.14/1.37 | ~ setIn(X152, alive) 1.14/1.37 | index(pendack, host(X152)) != host(X154) 1.14/1.37 | s(index(pendack, host(X152))) != host(X153) 1.14/1.37 | ~ leq(nbr_proc, s(index(pendack, host(X152)))) 1.14/1.37 | ~ elem(m_Ack(X152, X154), queue(host(X152))) 1.14/1.37 | ~ elem(m_Down(X153), queue(host(X152))))) 1.14/1.37 <= ((![X152, X153, X154]: 1.14/1.37 (elec_2 != index(status, host(X152)) 1.14/1.37 | ~ setIn(X152, alive) 1.14/1.37 | index(pendack, host(X152)) != host(X154) 1.14/1.37 | s(index(pendack, host(X152))) != host(X153) 1.14/1.37 | ~ leq(nbr_proc, s(index(pendack, host(X152)))) 1.14/1.37 | ~ elem(m_Ack(X152, X154), queue(host(X152))) 1.14/1.37 | ~ elem(m_Down(X153), queue(host(X152)))))), 1.14/1.37 inference('split', [status(esa)], ['23'])). 1.14/1.37 tff('25', plain, host(sk_V0_1) = index(ldr, host(sk_V0_1)), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('26', plain, 1.14/1.37 (![X151]: 1.14/1.37 (~ setIn(X151, alive) 1.14/1.37 | index(ldr, host(X151)) != host(X151) 1.14/1.37 | index(status, host(X151)) != norm)) 1.14/1.37 <= ((![X151]: 1.14/1.37 (~ setIn(X151, alive) 1.14/1.37 | index(ldr, host(X151)) != host(X151) 1.14/1.37 | index(status, host(X151)) != norm))), 1.14/1.37 inference('split', [status(esa)], ['23'])). 1.14/1.37 tff('27', plain, 1.14/1.37 ((host(sk_V0_1) != host(sk_V0_1) 1.14/1.37 | index(status, host(sk_V0_1)) != norm 1.14/1.37 | ~ setIn(sk_V0_1, alive))) 1.14/1.37 <= ((![X151]: 1.14/1.37 (~ setIn(X151, alive) 1.14/1.37 | index(ldr, host(X151)) != host(X151) 1.14/1.37 | index(status, host(X151)) != norm))), 1.14/1.37 inference('sup-', [status(thm)], ['25', '26'])). 1.14/1.37 tff('28', plain, norm = index(status, host(sk_V0_1)), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('29', plain, setIn(sk_V0_1, alive), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('30', plain, 1.14/1.37 ((host(sk_V0_1) != host(sk_V0_1) | norm != norm)) 1.14/1.37 <= ((![X151]: 1.14/1.37 (~ setIn(X151, alive) 1.14/1.37 | index(ldr, host(X151)) != host(X151) 1.14/1.37 | index(status, host(X151)) != norm))), 1.14/1.37 inference('demod', [status(thm)], ['27', '28', '29'])). 1.14/1.37 tff('31', plain, 1.14/1.37 ~ 1.14/1.37 (![X151]: 1.14/1.37 (~ setIn(X151, alive) 1.14/1.37 | index(ldr, host(X151)) != host(X151) 1.14/1.37 | index(status, host(X151)) != norm)), 1.14/1.37 inference('simplify', [status(thm)], ['30'])). 1.14/1.37 tff('32', plain, 1.14/1.37 (![X152, X153, X154]: 1.14/1.37 (elec_2 != index(status, host(X152)) 1.14/1.37 | ~ setIn(X152, alive) 1.14/1.37 | index(pendack, host(X152)) != host(X154) 1.14/1.37 | s(index(pendack, host(X152))) != host(X153) 1.14/1.37 | ~ leq(nbr_proc, s(index(pendack, host(X152)))) 1.14/1.37 | ~ elem(m_Ack(X152, X154), queue(host(X152))) 1.14/1.37 | ~ elem(m_Down(X153), queue(host(X152))))) | 1.14/1.37 (![X151]: 1.14/1.37 (~ setIn(X151, alive) 1.14/1.37 | index(ldr, host(X151)) != host(X151) 1.14/1.37 | index(status, host(X151)) != norm)), 1.14/1.37 inference('split', [status(esa)], ['23'])). 1.14/1.37 tff('33', plain, 1.14/1.37 (![X152, X153, X154]: 1.14/1.37 (elec_2 != index(status, host(X152)) 1.14/1.37 | ~ setIn(X152, alive) 1.14/1.37 | index(pendack, host(X152)) != host(X154) 1.14/1.37 | s(index(pendack, host(X152))) != host(X153) 1.14/1.37 | ~ leq(nbr_proc, s(index(pendack, host(X152)))) 1.14/1.37 | ~ elem(m_Ack(X152, X154), queue(host(X152))) 1.14/1.37 | ~ elem(m_Down(X153), queue(host(X152))))), 1.14/1.37 inference('sat_resolution*', [status(thm)], ['31', '32'])). 1.14/1.37 tff('34', plain, 1.14/1.37 ![X152, X153, X154]: 1.14/1.37 (elec_2 != index(status, host(X152)) 1.14/1.37 | ~ setIn(X152, alive) 1.14/1.37 | index(pendack, host(X152)) != host(X154) 1.14/1.37 | s(index(pendack, host(X152))) != host(X153) 1.14/1.37 | ~ leq(nbr_proc, s(index(pendack, host(X152)))) 1.14/1.37 | ~ elem(m_Ack(X152, X154), queue(host(X152))) 1.14/1.37 | ~ elem(m_Down(X153), queue(host(X152)))), 1.14/1.37 inference('simpl_trail', [status(thm)], ['24', '33'])). 1.14/1.37 tff('35', plain, 1.14/1.37 ![X0, X1]: 1.14/1.37 (~ leq(nbr_proc, s(index(pendack, host(sk_Z)))) 1.14/1.37 | ~ elem(m_Down(X0), queue(host(sk_Y0))) 1.14/1.37 | ~ elem(m_Ack(sk_Y0, X1), queue(host(sk_Y0))) 1.14/1.37 | s(index(pendack, host(sk_Y0))) != host(X0) 1.14/1.37 | index(pendack, host(sk_Y0)) != host(X1) 1.14/1.37 | ~ setIn(sk_Y0, alive) 1.14/1.37 | elec_2 != index(status, host(sk_Y0))), 1.14/1.37 inference('sup-', [status(thm)], ['22', '34'])). 1.14/1.37 tff('36', plain, host(sk_W0) = index(pendack, host(sk_Y0)), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('37', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('38', plain, host(sk_W0) = index(pendack, host(sk_Z)), 1.14/1.37 inference('demod', [status(thm)], ['36', '37'])). 1.14/1.37 tff('39', plain, host(sk_X0) = s(index(pendack, host(sk_Y0))), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('40', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('41', plain, host(sk_W0) = index(pendack, host(sk_Z)), 1.14/1.37 inference('demod', [status(thm)], ['36', '37'])). 1.14/1.37 tff('42', plain, host(sk_X0) = s(host(sk_W0)), 1.14/1.37 inference('demod', [status(thm)], ['39', '40', '41'])). 1.14/1.37 tff('43', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('44', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('45', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('46', plain, host(sk_W0) = index(pendack, host(sk_Z)), 1.14/1.37 inference('demod', [status(thm)], ['36', '37'])). 1.14/1.37 tff('47', plain, host(sk_X0) = s(host(sk_W0)), 1.14/1.37 inference('demod', [status(thm)], ['39', '40', '41'])). 1.14/1.37 tff('48', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('49', plain, host(sk_W0) = index(pendack, host(sk_Z)), 1.14/1.37 inference('demod', [status(thm)], ['36', '37'])). 1.14/1.37 tff('50', plain, setIn(sk_Y0, alive), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('51', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('52', plain, index(status, host(sk_Y0)) = elec_2, 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('53', plain, host(sk_Z) = host(sk_Y0), 1.14/1.37 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.37 tff('54', plain, index(status, host(sk_Z)) = elec_2, 1.14/1.37 inference('demod', [status(thm)], ['52', '53'])). 1.14/1.38 tff('55', plain, 1.14/1.38 ![X0, X1]: 1.14/1.38 (~ leq(nbr_proc, host(sk_X0)) 1.14/1.38 | ~ elem(m_Down(X0), queue(host(sk_Z))) 1.14/1.38 | ~ elem(m_Ack(sk_Y0, X1), queue(host(sk_Z))) 1.14/1.38 | host(sk_X0) != host(X0) 1.14/1.38 | host(sk_W0) != host(X1) 1.14/1.38 | elec_2 != elec_2), 1.14/1.38 inference('demod', [status(thm)], 1.14/1.38 ['35', '38', '42', '43', '44', '45', '46', '47', '48', '49', 1.14/1.38 '50', '51', '54'])). 1.14/1.38 tff('56', plain, 1.14/1.38 ![X0, X1]: 1.14/1.38 (host(sk_W0) != host(X1) 1.14/1.38 | host(sk_X0) != host(X0) 1.14/1.38 | ~ elem(m_Ack(sk_Y0, X1), queue(host(sk_Z))) 1.14/1.38 | ~ elem(m_Down(X0), queue(host(sk_Z))) 1.14/1.38 | ~ leq(nbr_proc, host(sk_X0))), 1.14/1.38 inference('simplify', [status(thm)], ['55'])). 1.14/1.38 tff('57', plain, leq(nbr_proc, s(index(pendack, host(sk_Y0)))), 1.14/1.38 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.38 tff('58', plain, host(sk_Z) = host(sk_Y0), 1.14/1.38 inference('cnf', [status(esa)], [zf_stmt_0])). 1.14/1.38 tff('59', plain, host(sk_W0) = index(pendack, host(sk_Z)), 1.14/1.38 inference('demod', [status(thm)], ['36', '37'])). 1.14/1.38 tff('60', plain, host(sk_X0) = s(host(sk_W0)), 1.14/1.38 inference('demod', [status(thm)], ['39', '40', '41'])). 1.14/1.38 tff('61', plain, leq(nbr_proc, host(sk_X0)), 1.14/1.38 inference('demod', [status(thm)], ['57', '58', '59', '60'])). 1.14/1.38 tff(axiom_61, axiom, (![X,Y]: ((leq(X,Y) & leq(Y,X)) <=> (X = Y)))). 1.14/1.38 tff('62', plain, 1.14/1.38 ![X20, X21]: (X21 = X20 | ~ leq(X20, X21) | ~ leq(X21, X20)), 1.14/1.38 inference('cnf', [status(esa)], [axiom_61])). 1.14/1.38 tff('63', plain, (~ leq(host(sk_X0), nbr_proc) | host(sk_X0) = nbr_proc), 1.14/1.38 inference('sup-', [status(thm)], ['61', '62'])). 1.14/1.38 tff(axiom_04, axiom, (![P]: leq(host(P),nbr_proc))). 1.14/1.38 tff('64', plain, ![X99]: leq(host(X99), nbr_proc), 1.14/1.38 inference('cnf', [status(esa)], [axiom_04])). 1.14/1.38 tff('65', plain, host(sk_X0) = nbr_proc, 1.14/1.38 inference('demod', [status(thm)], ['63', '64'])). 1.14/1.38 tff('66', plain, host(sk_X0) = nbr_proc, 1.14/1.38 inference('demod', [status(thm)], ['63', '64'])). 1.14/1.38 tff(axiom_59, axiom, (![X]: leq(X,X))). 1.14/1.38 tff('67', plain, ![X40]: leq(X40, X40), 1.14/1.38 inference('cnf', [status(esa)], [axiom_59])). 1.14/1.38 tff('68', plain, 1.14/1.38 ![X0, X1]: 1.14/1.38 (host(sk_W0) != host(X1) 1.14/1.38 | nbr_proc != host(X0) 1.14/1.38 | ~ elem(m_Ack(sk_Y0, X1), queue(host(sk_Z))) 1.14/1.38 | ~ elem(m_Down(X0), queue(host(sk_Z)))), 1.14/1.38 inference('demod', [status(thm)], ['56', '65', '66', '67'])). 1.14/1.38 tff('69', plain, 1.14/1.38 ![X0]: 1.14/1.38 (~ elem(m_Down(X0), queue(host(sk_Z))) 1.14/1.38 | nbr_proc != host(X0) 1.14/1.38 | host(sk_W0) != host(sk_W0)), 1.14/1.38 inference('sup-', [status(thm)], ['21', '68'])). 1.14/1.38 tff('70', plain, 1.14/1.38 ![X0]: (nbr_proc != host(X0) | ~ elem(m_Down(X0), queue(host(sk_Z)))), 1.14/1.38 inference('simplify', [status(thm)], ['69'])). 1.14/1.38 tff('71', plain, nbr_proc != host(sk_X0), 1.14/1.38 inference('sup-', [status(thm)], ['6', '70'])). 1.14/1.38 tff('72', plain, host(sk_X0) = nbr_proc, 1.14/1.38 inference('demod', [status(thm)], ['63', '64'])). 1.14/1.38 tff('73', plain, nbr_proc != nbr_proc, 1.14/1.38 inference('demod', [status(thm)], ['71', '72'])). 1.14/1.38 tff('74', plain, $false, inference('simplify', [status(thm)], ['73'])). 1.14/1.38 1.14/1.38 % SZS output end Refutation 1.14/1.38 1.14/1.38 % Zipperpin 1.5 exiting 1.23/1.39 EOF