0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ape6n6xPH1 true 0.11/0.36 % Computer : n023.cluster.edu 0.11/0.36 % Model : x86_64 x86_64 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.36 % Memory : 8046.5625MB 0.11/0.36 % OS : Linux 6.8.0-71-generic 0.11/0.36 % CPULimit : 1440 0.11/0.36 % WCLimit : 180 0.11/0.36 % DateTime : Mon Jul 27 10:20:21 UTC 2026 0.11/0.36 % CPUTime : 0.11/0.36 % Running portfolio for 1440 s 0.11/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.37 % Number of cores: 8 0.11/0.37 % Python version: Python 3.12.3 0.11/0.37 % Running in FO mode 0.38/0.58 % Total configuration time : 435 0.38/0.58 % Estimated wc time : 1092 0.38/0.58 % Estimated cpu time (7 cpus) : 156.0 0.39/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s 12.23/2.39 % Solved by fo/fo6_bce.sh. 12.23/2.39 % BCE start: 138 12.23/2.39 % BCE eliminated: 0 12.23/2.39 % PE start: 138 12.23/2.39 logic: eq 12.23/2.39 % PE eliminated: 0 12.23/2.39 % done 821 iterations in 1.701s 12.23/2.39 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 12.23/2.39 % SZS output start Refutation 12.23/2.39 thf(leq_type, type, leq: $i > $i > $o). 12.23/2.39 thf(cons_type, type, cons: $i > $i > $i). 12.23/2.39 thf(setIn_type, type, setIn: $i > $i > $o). 12.23/2.39 thf(wait_type, type, wait: $i). 12.23/2.39 thf(alive_type, type, alive: $i). 12.23/2.39 thf(elem_type, type, elem: $i > $i > $o). 12.23/2.39 thf(status_type, type, status: $i). 12.23/2.39 thf(zero_type, type, zero: $i). 12.23/2.39 thf(elid_type, type, elid: $i). 12.23/2.39 thf(sk__10_type, type, sk__10: $i). 12.23/2.39 thf(ldr_type, type, ldr: $i). 12.23/2.39 thf(elec_2_type, type, elec_2: $i). 12.23/2.39 thf(m_Ldr_type, type, m_Ldr: $i > $i). 12.23/2.39 thf(nbr_proc_type, type, nbr_proc: $i). 12.23/2.39 thf(index_type, type, index: $i > $i > $i). 12.23/2.39 thf(m_Ack_type, type, m_Ack: $i > $i > $i). 12.23/2.39 thf(down_type, type, down: $i). 12.23/2.39 thf(m_Down_type, type, m_Down: $i > $i). 12.23/2.39 thf(sk__13_type, type, sk__13: $i). 12.23/2.39 thf(host_type, type, host: $i > $i). 12.23/2.39 thf(queue_type, type, queue: $i > $i). 12.23/2.39 thf(pendack_type, type, pendack: $i). 12.23/2.39 thf(sk__5_type, type, sk__5: $i). 12.23/2.39 thf(sk__9_type, type, sk__9: $i). 12.23/2.39 thf(sk__8_type, type, sk__8: $i). 12.23/2.39 thf(s_type, type, s: $i > $i). 12.23/2.39 thf(acks_type, type, acks: $i). 12.23/2.39 thf(norm_type, type, norm: $i). 12.23/2.39 thf(elec_1_type, type, elec_1: $i). 12.23/2.39 thf(conj, conjecture, 12.23/2.39 (![V:$i,W:$i,X:$i,Y:$i]: 12.23/2.39 ( ( ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) => 12.23/2.39 ( ~( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) ) ) & 12.23/2.39 ( ![Z:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & 12.23/2.39 ( ( ( index @ status @ ( host @ Z ) ) = ( elec_2 ) ) | 12.23/2.39 ( ( index @ status @ ( host @ Z ) ) = ( elec_1 ) ) ) ) => 12.23/2.39 ( ( Z ) = ( index @ elid @ ( host @ Z ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_2 ) ) & 12.23/2.39 ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) & ( setIn @ Z @ alive ) ) => 12.23/2.39 ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( norm ) = ( index @ status @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid0 ) ) = ( host @ Pid0 ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) ) => 12.23/2.39 ( ~( ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) & 12.23/2.39 ( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( index @ ldr @ ( host @ Z ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( norm ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid0 ) ) = ( host @ Pid0 ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Z ) ) = ( norm ) ) ) => 12.23/2.39 ( ( Pid0 ) = ( Z ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid20 ) = ( host @ Z ) ) & 12.23/2.39 ( ~( leq @ ( host @ Pid20 ) @ ( host @ Pid0 ) ) ) ) => 12.23/2.39 ( ~( ( ( index @ status @ ( host @ Z ) ) = ( norm ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Z ) ) = ( host @ Z ) ) & 12.23/2.39 ( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Z ) != ( host @ Pid20 ) ) & ( setIn @ Z @ alive ) & 12.23/2.39 ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid30 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( host @ Pid20 ) ) ) => 12.23/2.39 ( ~( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid20 ) = ( index @ ldr @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( norm ) = ( index @ status @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( host @ Pid0 ) != ( host @ Pid20 ) ) ) => 12.23/2.39 ( ~( ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid20 ) ) = ( host @ Pid20 ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid20 ) ) = ( norm ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Pid0 ) != ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid20 ) ) & 12.23/2.39 ( ( host @ ( index @ elid @ ( host @ Pid0 ) ) ) = 12.23/2.39 ( host @ Pid20 ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( wait ) ) & 12.23/2.39 ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) ) => 12.23/2.39 ( ~( ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid20 ) ) = ( norm ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid20 ) ) = ( host @ Pid20 ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid30 ) = ( host @ Pid0 ) ) & 12.23/2.39 ( ( elec_2 ) = ( index @ status @ ( host @ Z ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_1 ) ) & 12.23/2.39 ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) & 12.23/2.39 ( ![V0:$i]: 12.23/2.39 ( ( ( ~( leq @ ( host @ Pid0 ) @ V0 ) ) & 12.23/2.39 ( leq @ ( s @ zero ) @ V0 ) ) => 12.23/2.39 ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) ) | 12.23/2.39 ( ( host @ Pid20 ) = ( V0 ) ) ) ) ) ) => 12.23/2.39 ( ~( elem @ ( m_Ack @ Z @ Pid30 ) @ ( queue @ ( host @ Z ) ) ) ) ) ) & 12.23/2.39 ( ( cons @ ( m_Down @ Y ) @ V ) = ( queue @ ( host @ X ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ![V0:$i]: 12.23/2.39 ( ( ( leq @ ( s @ zero ) @ V0 ) & 12.23/2.39 ( ~( leq @ ( host @ Pid0 ) @ V0 ) ) ) => 12.23/2.39 ( ( ( host @ Pid20 ) = ( V0 ) ) | 12.23/2.39 ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) ) ) ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid30 ) = ( s @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_1 ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( leq @ nbr_proc @ ( s @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) ) => 12.23/2.39 ( ~( ( setIn @ Z @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( index @ ldr @ ( host @ Z ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Z ) ) = ( norm ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Z ) != ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid30 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( host @ Pid20 ) ) & ( setIn @ Z @ alive ) ) => 12.23/2.39 ( ~( ( setIn @ 12.23/2.39 ( host @ Pid30 ) @ ( index @ down @ ( host @ Pid20 ) ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Pid0 ) = ( host @ Pid20 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( index @ ldr @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( norm ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) ) => 12.23/2.39 ( ~( ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) & 12.23/2.39 ( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_2 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( host @ Pid20 ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) => 12.23/2.39 ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( Z ) != ( Pid0 ) ) & ( ( host @ Pid0 ) = ( host @ Z ) ) ) => 12.23/2.39 ( ( ~( setIn @ Pid0 @ alive ) ) | ( ~( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) => 12.23/2.39 ( ( host @ Z ) != ( host @ Pid0 ) ) ) ) ) => 12.23/2.39 ( ( setIn @ X @ alive ) => 12.23/2.39 ( ( leq @ ( host @ X ) @ ( host @ Y ) ) => 12.23/2.39 ( ( ( ( index @ status @ ( host @ X ) ) = ( elec_2 ) ) & 12.23/2.39 ( ( host @ Y ) = ( index @ pendack @ ( host @ X ) ) ) ) => 12.23/2.39 ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) ) => 12.23/2.39 ( ![Z:$i]: 12.23/2.39 ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) ) => 12.23/2.39 ( ![V0:$i]: 12.23/2.39 ( ( ( host @ X ) = ( host @ V0 ) ) => 12.23/2.39 ( ![W0:$i,X0:$i,Y0:$i]: 12.23/2.39 ( ( ( host @ Y0 ) != ( host @ Z ) ) => 12.23/2.39 ( ( ( host @ X ) != ( host @ Y0 ) ) => 12.23/2.39 ( ( ( ![V1:$i]: 12.23/2.39 ( ( ( leq @ ( s @ zero ) @ V1 ) & 12.23/2.39 ( ~( leq @ ( host @ Y0 ) @ V1 ) ) ) => 12.23/2.39 ( ( ( host @ X0 ) = ( V1 ) ) | 12.23/2.39 ( setIn @ 12.23/2.39 V1 @ ( index @ down @ ( host @ Y0 ) ) ) ) ) ) & 12.23/2.39 ( setIn @ Y0 @ alive ) & 12.23/2.39 ( leq @ nbr_proc @ ( s @ ( host @ Y0 ) ) ) & 12.23/2.39 ( elem @ 12.23/2.39 ( m_Down @ W0 ) @ ( queue @ ( host @ Y0 ) ) ) & 12.23/2.39 ( elem @ 12.23/2.39 ( m_Down @ X0 ) @ ( queue @ ( host @ Y0 ) ) ) & 12.23/2.39 ( ( elec_1 ) = 12.23/2.39 ( index @ status @ ( host @ Y0 ) ) ) & 12.23/2.39 ( ( s @ ( host @ Y0 ) ) = ( host @ W0 ) ) ) => 12.23/2.39 ( ~( ( setIn @ V0 @ alive ) & 12.23/2.39 ( ( host @ X ) = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 12.23/2.39 thf(zf_stmt_0, negated_conjecture, 12.23/2.39 (~( ![V:$i,W:$i,X:$i,Y:$i]: 12.23/2.39 ( ( ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) => 12.23/2.39 ( ~( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) ) ) & 12.23/2.39 ( ![Z:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & 12.23/2.39 ( ( ( index @ status @ ( host @ Z ) ) = ( elec_2 ) ) | 12.23/2.39 ( ( index @ status @ ( host @ Z ) ) = ( elec_1 ) ) ) ) => 12.23/2.39 ( ( Z ) = ( index @ elid @ ( host @ Z ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_2 ) ) & 12.23/2.39 ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) & ( setIn @ Z @ alive ) ) => 12.23/2.39 ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( norm ) = ( index @ status @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid0 ) ) = ( host @ Pid0 ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) ) => 12.23/2.39 ( ~( ( setIn @ 12.23/2.39 ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) & 12.23/2.39 ( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( index @ ldr @ ( host @ Z ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( norm ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid0 ) ) = ( host @ Pid0 ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Z ) ) = ( norm ) ) ) => 12.23/2.39 ( ( Pid0 ) = ( Z ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid20 ) = ( host @ Z ) ) & 12.23/2.39 ( ~( leq @ ( host @ Pid20 ) @ ( host @ Pid0 ) ) ) ) => 12.23/2.39 ( ~( ( ( index @ status @ ( host @ Z ) ) = ( norm ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Z ) ) = ( host @ Z ) ) & 12.23/2.39 ( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Z ) != ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Z @ alive ) & ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid30 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( host @ Pid20 ) ) ) => 12.23/2.39 ( ~( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid20 ) = ( index @ ldr @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( norm ) = ( index @ status @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( host @ Pid0 ) != ( host @ Pid20 ) ) ) => 12.23/2.39 ( ~( ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid20 ) ) = ( host @ Pid20 ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid20 ) ) = ( norm ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Pid0 ) != ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid20 ) ) & 12.23/2.39 ( ( host @ ( index @ elid @ ( host @ Pid0 ) ) ) = 12.23/2.39 ( host @ Pid20 ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( wait ) ) & 12.23/2.39 ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) ) => 12.23/2.39 ( ~( ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid20 ) ) = ( norm ) ) & 12.23/2.39 ( ( index @ ldr @ ( host @ Pid20 ) ) = ( host @ Pid20 ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid30 ) = ( host @ Pid0 ) ) & 12.23/2.39 ( ( elec_2 ) = ( index @ status @ ( host @ Z ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_1 ) ) & 12.23/2.39 ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) & 12.23/2.39 ( ![V0:$i]: 12.23/2.39 ( ( ( ~( leq @ ( host @ Pid0 ) @ V0 ) ) & 12.23/2.39 ( leq @ ( s @ zero ) @ V0 ) ) => 12.23/2.39 ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) ) | 12.23/2.39 ( ( host @ Pid20 ) = ( V0 ) ) ) ) ) ) => 12.23/2.39 ( ~( elem @ ( m_Ack @ Z @ Pid30 ) @ ( queue @ ( host @ Z ) ) ) ) ) ) & 12.23/2.39 ( ( cons @ ( m_Down @ Y ) @ V ) = ( queue @ ( host @ X ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ![V0:$i]: 12.23/2.39 ( ( ( leq @ ( s @ zero ) @ V0 ) & 12.23/2.39 ( ~( leq @ ( host @ Pid0 ) @ V0 ) ) ) => 12.23/2.39 ( ( ( host @ Pid20 ) = ( V0 ) ) | 12.23/2.39 ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) ) ) ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( host @ Pid30 ) = ( s @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_1 ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( leq @ nbr_proc @ ( s @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) ) => 12.23/2.39 ( ~( ( setIn @ Z @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( index @ ldr @ ( host @ Z ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Z ) ) = ( norm ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid30:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Z ) != ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Pid20 @ alive ) & 12.23/2.39 ( ( host @ Z ) = ( host @ Pid30 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( host @ Pid20 ) ) & 12.23/2.39 ( setIn @ Z @ alive ) ) => 12.23/2.39 ( ~( ( setIn @ 12.23/2.39 ( host @ Pid30 ) @ ( index @ down @ ( host @ Pid20 ) ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( host @ Pid0 ) = ( host @ Pid20 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( index @ ldr @ ( host @ Pid0 ) ) ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( norm ) ) & 12.23/2.39 ( setIn @ Pid0 @ alive ) ) => 12.23/2.39 ( ~( ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) & 12.23/2.39 ( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid20:$i,Pid0:$i]: 12.23/2.39 ( ( ( setIn @ Z @ alive ) & ( setIn @ Pid0 @ alive ) & 12.23/2.39 ( ( index @ status @ ( host @ Pid0 ) ) = ( elec_2 ) ) & 12.23/2.39 ( ( host @ Pid0 ) = ( host @ Pid20 ) ) & 12.23/2.39 ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) => 12.23/2.39 ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( ( ( Z ) != ( Pid0 ) ) & ( ( host @ Pid0 ) = ( host @ Z ) ) ) => 12.23/2.39 ( ( ~( setIn @ Pid0 @ alive ) ) | ( ~( setIn @ Z @ alive ) ) ) ) ) & 12.23/2.39 ( ![Z:$i,Pid0:$i]: 12.23/2.39 ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) => 12.23/2.39 ( ( host @ Z ) != ( host @ Pid0 ) ) ) ) ) => 12.23/2.39 ( ( setIn @ X @ alive ) => 12.23/2.39 ( ( leq @ ( host @ X ) @ ( host @ Y ) ) => 12.23/2.39 ( ( ( ( index @ status @ ( host @ X ) ) = ( elec_2 ) ) & 12.23/2.39 ( ( host @ Y ) = ( index @ pendack @ ( host @ X ) ) ) ) => 12.23/2.39 ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) ) => 12.23/2.39 ( ![Z:$i]: 12.23/2.39 ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) ) => 12.23/2.39 ( ![V0:$i]: 12.23/2.39 ( ( ( host @ X ) = ( host @ V0 ) ) => 12.23/2.39 ( ![W0:$i,X0:$i,Y0:$i]: 12.23/2.39 ( ( ( host @ Y0 ) != ( host @ Z ) ) => 12.23/2.39 ( ( ( host @ X ) != ( host @ Y0 ) ) => 12.23/2.39 ( ( ( ![V1:$i]: 12.23/2.39 ( ( ( leq @ ( s @ zero ) @ V1 ) & 12.23/2.39 ( ~( leq @ ( host @ Y0 ) @ V1 ) ) ) => 12.23/2.39 ( ( ( host @ X0 ) = ( V1 ) ) | 12.23/2.39 ( setIn @ 12.23/2.39 V1 @ 12.23/2.39 ( index @ down @ ( host @ Y0 ) ) ) ) ) ) & 12.23/2.39 ( setIn @ Y0 @ alive ) & 12.23/2.39 ( leq @ nbr_proc @ ( s @ ( host @ Y0 ) ) ) & 12.23/2.39 ( elem @ 12.23/2.39 ( m_Down @ W0 ) @ 12.23/2.39 ( queue @ ( host @ Y0 ) ) ) & 12.23/2.39 ( elem @ 12.23/2.39 ( m_Down @ X0 ) @ 12.23/2.39 ( queue @ ( host @ Y0 ) ) ) & 12.23/2.39 ( ( elec_1 ) = 12.23/2.39 ( index @ status @ ( host @ Y0 ) ) ) & 12.23/2.39 ( ( s @ ( host @ Y0 ) ) = ( host @ W0 ) ) ) => 12.23/2.39 ( ~( ( setIn @ V0 @ alive ) & 12.23/2.39 ( ( host @ X ) = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 12.23/2.39 inference('cnf.neg', [status(esa)], [conj])). 12.23/2.39 thf(zip_derived_cl133, plain, (((s @ (host @ sk__10)) = (host @ sk__8))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl129, plain, ( (leq @ nbr_proc @ (s @ (host @ sk__10)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl133, plain, (((s @ (host @ sk__10)) = (host @ sk__8))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl576, plain, ( (leq @ nbr_proc @ (host @ sk__8))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl133])). 12.23/2.39 thf(axiom_61, axiom, 12.23/2.39 (![X:$i,Y:$i]: 12.23/2.39 ( ( ( leq @ X @ Y ) & ( leq @ Y @ X ) ) <=> ( ( X ) = ( Y ) ) ))). 12.23/2.39 thf(zip_derived_cl54, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 (((X1) = (X0)) | ~ (leq @ X0 @ X1) | ~ (leq @ X1 @ X0))), 12.23/2.39 inference('cnf', [status(esa)], [axiom_61])). 12.23/2.39 thf(zip_derived_cl581, plain, 12.23/2.39 ((((host @ sk__8) = (nbr_proc)) | ~ (leq @ (host @ sk__8) @ nbr_proc))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl54])). 12.23/2.39 thf(axiom_04, axiom, (![P:$i]: ( leq @ ( host @ P ) @ nbr_proc ))). 12.23/2.39 thf(zip_derived_cl49, plain, (![X0 : $i]: (leq @ (host @ X0) @ nbr_proc)), 12.23/2.39 inference('cnf', [status(esa)], [axiom_04])). 12.23/2.39 thf(zip_derived_cl583, plain, (((host @ sk__8) = (nbr_proc))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl581, zip_derived_cl49])). 12.23/2.39 thf(zip_derived_cl588, plain, (((s @ (host @ sk__10)) = (nbr_proc))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl583])). 12.23/2.39 thf(axiom_64, axiom, 12.23/2.39 (![X:$i,Y:$i]: 12.23/2.39 ( ( leq @ X @ ( s @ Y ) ) <=> ( ( ( s @ Y ) = ( X ) ) | ( leq @ X @ Y ) ) ))). 12.23/2.39 thf(zip_derived_cl38, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 ( (leq @ X0 @ X1) | ((s @ X1) = (X0)) | ~ (leq @ X0 @ (s @ X1)))), 12.23/2.39 inference('cnf', [status(esa)], [axiom_64])). 12.23/2.39 thf(zip_derived_cl626, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 ( (leq @ X0 @ (host @ sk__10)) 12.23/2.39 | ((nbr_proc) = (X0)) 12.23/2.39 | ~ (leq @ X0 @ nbr_proc))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl588, zip_derived_cl38])). 12.23/2.39 thf(axiom_02, axiom, (![P:$i]: ( leq @ ( s @ zero ) @ ( host @ P ) ))). 12.23/2.39 thf(zip_derived_cl8, plain, (![X0 : $i]: (leq @ (s @ zero) @ (host @ X0))), 12.23/2.39 inference('cnf', [status(esa)], [axiom_02])). 12.23/2.39 thf(zip_derived_cl127, plain, 12.23/2.39 (![X44 : $i]: 12.23/2.39 ( (setIn @ X44 @ (index @ down @ (host @ sk__10))) 12.23/2.39 | ((host @ sk__9) = (X44)) 12.23/2.39 | (leq @ (host @ sk__10) @ X44) 12.23/2.39 | ~ (leq @ (s @ zero) @ X44))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl1248, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 ( (setIn @ (host @ X0) @ (index @ down @ (host @ sk__10))) 12.23/2.39 | ((host @ sk__9) = (host @ X0)) 12.23/2.39 | (leq @ (host @ sk__10) @ (host @ X0)))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl127])). 12.23/2.39 thf(zip_derived_cl128, plain, ( (setIn @ sk__10 @ alive)), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl137, plain, ( (setIn @ sk__5 @ alive)), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl102, plain, 12.23/2.39 (![X3 : $i, X4 : $i]: 12.23/2.39 (~ (setIn @ X3 @ alive) 12.23/2.39 | ((index @ status @ (host @ X4)) != (elec_2)) 12.23/2.39 | ~ (setIn @ (host @ X4) @ (index @ down @ (host @ X3))) 12.23/2.39 | ~ (setIn @ X4 @ alive) 12.23/2.39 | (leq @ (index @ pendack @ (host @ X4)) @ (host @ X3)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl54, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 (((X1) = (X0)) | ~ (leq @ X0 @ X1) | ~ (leq @ X1 @ X0))), 12.23/2.39 inference('cnf', [status(esa)], [axiom_61])). 12.23/2.39 thf(zip_derived_cl1010, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 (~ (setIn @ X1 @ alive) 12.23/2.39 | ~ (setIn @ (host @ X1) @ (index @ down @ (host @ X0))) 12.23/2.39 | ((index @ status @ (host @ X1)) != (elec_2)) 12.23/2.39 | ~ (setIn @ X0 @ alive) 12.23/2.39 | ((host @ X0) = (index @ pendack @ (host @ X1))) 12.23/2.39 | ~ (leq @ (host @ X0) @ (index @ pendack @ (host @ X1))))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl54])). 12.23/2.39 thf(zip_derived_cl1989, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (~ (setIn @ (host @ sk__5) @ (index @ down @ (host @ X0))) 12.23/2.39 | ((index @ status @ (host @ sk__5)) != (elec_2)) 12.23/2.39 | ~ (setIn @ X0 @ alive) 12.23/2.39 | ((host @ X0) = (index @ pendack @ (host @ sk__5))) 12.23/2.39 | ~ (leq @ (host @ X0) @ (index @ pendack @ (host @ sk__5))))), 12.23/2.39 inference('s_sup-', [status(thm)], 12.23/2.39 [zip_derived_cl137, zip_derived_cl1010])). 12.23/2.39 thf(zip_derived_cl136, plain, 12.23/2.39 (((index @ status @ (host @ sk__5)) = (elec_2))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl96, plain, 12.23/2.39 (((host @ sk__13) = (index @ pendack @ (host @ sk__5)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl122, plain, 12.23/2.39 ( (leq @ nbr_proc @ (index @ pendack @ (host @ sk__5)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl96, plain, 12.23/2.39 (((host @ sk__13) = (index @ pendack @ (host @ sk__5)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl708, plain, ( (leq @ nbr_proc @ (host @ sk__13))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl96])). 12.23/2.39 thf(zip_derived_cl49, plain, (![X0 : $i]: (leq @ (host @ X0) @ nbr_proc)), 12.23/2.39 inference('cnf', [status(esa)], [axiom_04])). 12.23/2.39 thf(zip_derived_cl54, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 (((X1) = (X0)) | ~ (leq @ X0 @ X1) | ~ (leq @ X1 @ X0))), 12.23/2.39 inference('cnf', [status(esa)], [axiom_61])). 12.23/2.39 thf(zip_derived_cl578, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (((nbr_proc) = (host @ X0)) | ~ (leq @ nbr_proc @ (host @ X0)))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl54])). 12.23/2.39 thf(zip_derived_cl710, plain, (((nbr_proc) = (host @ sk__13))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl708, zip_derived_cl578])). 12.23/2.39 thf(zip_derived_cl717, plain, 12.23/2.39 (((nbr_proc) = (index @ pendack @ (host @ sk__5)))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl710])). 12.23/2.39 thf(zip_derived_cl717, plain, 12.23/2.39 (((nbr_proc) = (index @ pendack @ (host @ sk__5)))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl710])). 12.23/2.39 thf(zip_derived_cl49, plain, (![X0 : $i]: (leq @ (host @ X0) @ nbr_proc)), 12.23/2.39 inference('cnf', [status(esa)], [axiom_04])). 12.23/2.39 thf(zip_derived_cl1991, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (~ (setIn @ (host @ sk__5) @ (index @ down @ (host @ X0))) 12.23/2.39 | ((elec_2) != (elec_2)) 12.23/2.39 | ~ (setIn @ X0 @ alive) 12.23/2.39 | ((host @ X0) = (nbr_proc)))), 12.23/2.39 inference('demod', [status(thm)], 12.23/2.39 [zip_derived_cl1989, zip_derived_cl136, zip_derived_cl717, 12.23/2.39 zip_derived_cl717, zip_derived_cl49])). 12.23/2.39 thf(zip_derived_cl1992, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (((host @ X0) = (nbr_proc)) 12.23/2.39 | ~ (setIn @ X0 @ alive) 12.23/2.39 | ~ (setIn @ (host @ sk__5) @ (index @ down @ (host @ X0))))), 12.23/2.39 inference('simplify', [status(thm)], [zip_derived_cl1991])). 12.23/2.39 thf(zip_derived_cl1995, plain, 12.23/2.39 ((((host @ sk__10) = (nbr_proc)) 12.23/2.39 | ~ (setIn @ (host @ sk__5) @ (index @ down @ (host @ sk__10))))), 12.23/2.39 inference('s_sup-', [status(thm)], 12.23/2.39 [zip_derived_cl128, zip_derived_cl1992])). 12.23/2.39 thf(zip_derived_cl133, plain, (((s @ (host @ sk__10)) = (host @ sk__8))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(axiom_01, axiom, 12.23/2.39 (![P:$i,Q:$i]: 12.23/2.39 ( ( ( host @ Q ) = ( s @ ( host @ P ) ) ) => 12.23/2.39 ( ( host @ Q ) != ( host @ P ) ) ))). 12.23/2.39 thf(zip_derived_cl51, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 (((host @ X1) != (host @ X0)) | ((host @ X1) != (s @ (host @ X0))))), 12.23/2.39 inference('cnf', [status(esa)], [axiom_01])). 12.23/2.39 thf(zip_derived_cl533, plain, 12.23/2.39 (![X0 : $i]: ((host @ X0) != (s @ (host @ X0)))), 12.23/2.39 inference('eq_res', [status(thm)], [zip_derived_cl51])). 12.23/2.39 thf(zip_derived_cl557, plain, (((host @ sk__10) != (host @ sk__8))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl533])). 12.23/2.39 thf(zip_derived_cl583, plain, (((host @ sk__8) = (nbr_proc))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl581, zip_derived_cl49])). 12.23/2.39 thf(zip_derived_cl590, plain, (((host @ sk__10) != (nbr_proc))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl557, zip_derived_cl583])). 12.23/2.39 thf(zip_derived_cl1996, plain, 12.23/2.39 (~ (setIn @ (host @ sk__5) @ (index @ down @ (host @ sk__10)))), 12.23/2.39 inference('simplify_reflect-', [status(thm)], 12.23/2.39 [zip_derived_cl1995, zip_derived_cl590])). 12.23/2.39 thf(zip_derived_cl3075, plain, 12.23/2.39 (( (leq @ (host @ sk__10) @ (host @ sk__5)) 12.23/2.39 | ((host @ sk__9) = (host @ sk__5)))), 12.23/2.39 inference('s_sup-', [status(thm)], 12.23/2.39 [zip_derived_cl1248, zip_derived_cl1996])). 12.23/2.39 thf(zip_derived_cl54, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 (((X1) = (X0)) | ~ (leq @ X0 @ X1) | ~ (leq @ X1 @ X0))), 12.23/2.39 inference('cnf', [status(esa)], [axiom_61])). 12.23/2.39 thf(zip_derived_cl3089, plain, 12.23/2.39 ((((host @ sk__9) = (host @ sk__5)) 12.23/2.39 | ((host @ sk__5) = (host @ sk__10)) 12.23/2.39 | ~ (leq @ (host @ sk__5) @ (host @ sk__10)))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl3075, zip_derived_cl54])). 12.23/2.39 thf(zip_derived_cl134, plain, (((host @ sk__5) != (host @ sk__10))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl3101, plain, 12.23/2.39 ((((host @ sk__9) = (host @ sk__5)) 12.23/2.39 | ~ (leq @ (host @ sk__5) @ (host @ sk__10)))), 12.23/2.39 inference('simplify_reflect-', [status(thm)], 12.23/2.39 [zip_derived_cl3089, zip_derived_cl134])). 12.23/2.39 thf(zip_derived_cl3188, plain, 12.23/2.39 ((~ (leq @ (host @ sk__5) @ nbr_proc) 12.23/2.39 | ((nbr_proc) = (host @ sk__5)) 12.23/2.39 | ((host @ sk__9) = (host @ sk__5)))), 12.23/2.39 inference('s_sup-', [status(thm)], 12.23/2.39 [zip_derived_cl626, zip_derived_cl3101])). 12.23/2.39 thf(zip_derived_cl49, plain, (![X0 : $i]: (leq @ (host @ X0) @ nbr_proc)), 12.23/2.39 inference('cnf', [status(esa)], [axiom_04])). 12.23/2.39 thf(zip_derived_cl3191, plain, 12.23/2.39 ((((nbr_proc) = (host @ sk__5)) | ((host @ sk__9) = (host @ sk__5)))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl3188, zip_derived_cl49])). 12.23/2.39 thf(zip_derived_cl583, plain, (((host @ sk__8) = (nbr_proc))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl581, zip_derived_cl49])). 12.23/2.39 thf(zip_derived_cl137, plain, ( (setIn @ sk__5 @ alive)), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl128, plain, ( (setIn @ sk__10 @ alive)), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl119, plain, 12.23/2.39 (![X37 : $i, X38 : $i, X39 : $i]: 12.23/2.39 (~ (elem @ (m_Down @ X37) @ (queue @ (host @ X38))) 12.23/2.39 | ~ (setIn @ X38 @ alive) 12.23/2.39 | ~ (setIn @ X39 @ alive) 12.23/2.39 | ((index @ status @ (host @ X39)) != (elec_2)) 12.23/2.39 | ((host @ X39) != (host @ X37)) 12.23/2.39 | (leq @ (index @ pendack @ (host @ X39)) @ (host @ X38)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl1221, plain, 12.23/2.39 (![X0 : $i, X1 : $i]: 12.23/2.39 (~ (elem @ (m_Down @ X0) @ (queue @ (host @ sk__10))) 12.23/2.39 | ~ (setIn @ X1 @ alive) 12.23/2.39 | ((index @ status @ (host @ X1)) != (elec_2)) 12.23/2.39 | ((host @ X1) != (host @ X0)) 12.23/2.39 | (leq @ (index @ pendack @ (host @ X1)) @ (host @ sk__10)))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl119])). 12.23/2.39 thf(zip_derived_cl2453, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (~ (elem @ (m_Down @ X0) @ (queue @ (host @ sk__10))) 12.23/2.39 | ((index @ status @ (host @ sk__5)) != (elec_2)) 12.23/2.39 | ((host @ sk__5) != (host @ X0)) 12.23/2.39 | (leq @ (index @ pendack @ (host @ sk__5)) @ (host @ sk__10)))), 12.23/2.39 inference('s_sup-', [status(thm)], 12.23/2.39 [zip_derived_cl137, zip_derived_cl1221])). 12.23/2.39 thf(zip_derived_cl136, plain, 12.23/2.39 (((index @ status @ (host @ sk__5)) = (elec_2))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl717, plain, 12.23/2.39 (((nbr_proc) = (index @ pendack @ (host @ sk__5)))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl710])). 12.23/2.39 thf(zip_derived_cl133, plain, (((s @ (host @ sk__10)) = (host @ sk__8))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(axiom_58, axiom, (![X:$i]: ( ~( leq @ ( s @ X ) @ X ) ))). 12.23/2.39 thf(zip_derived_cl83, plain, (![X0 : $i]: ~ (leq @ (s @ X0) @ X0)), 12.23/2.39 inference('cnf', [status(esa)], [axiom_58])). 12.23/2.39 thf(zip_derived_cl556, plain, (~ (leq @ (host @ sk__8) @ (host @ sk__10))), 12.23/2.39 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl83])). 12.23/2.39 thf(zip_derived_cl583, plain, (((host @ sk__8) = (nbr_proc))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl581, zip_derived_cl49])). 12.23/2.39 thf(zip_derived_cl589, plain, (~ (leq @ nbr_proc @ (host @ sk__10))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl556, zip_derived_cl583])). 12.23/2.39 thf(zip_derived_cl2455, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (~ (elem @ (m_Down @ X0) @ (queue @ (host @ sk__10))) 12.23/2.39 | ((elec_2) != (elec_2)) 12.23/2.39 | ((host @ sk__5) != (host @ X0)))), 12.23/2.39 inference('demod', [status(thm)], 12.23/2.39 [zip_derived_cl2453, zip_derived_cl136, zip_derived_cl717, 12.23/2.39 zip_derived_cl589])). 12.23/2.39 thf(zip_derived_cl2456, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (((host @ sk__5) != (host @ X0)) 12.23/2.39 | ~ (elem @ (m_Down @ X0) @ (queue @ (host @ sk__10))))), 12.23/2.39 inference('simplify', [status(thm)], [zip_derived_cl2455])). 12.23/2.39 thf(zip_derived_cl2487, plain, 12.23/2.39 ((((host @ sk__5) != (nbr_proc)) 12.23/2.39 | ~ (elem @ (m_Down @ sk__8) @ (queue @ (host @ sk__10))))), 12.23/2.39 inference('s_sup-', [status(thm)], 12.23/2.39 [zip_derived_cl583, zip_derived_cl2456])). 12.23/2.39 thf(zip_derived_cl130, plain, 12.23/2.39 ( (elem @ (m_Down @ sk__8) @ (queue @ (host @ sk__10)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl2490, plain, (((host @ sk__5) != (nbr_proc))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl2487, zip_derived_cl130])). 12.23/2.39 thf(zip_derived_cl3192, plain, (((host @ sk__9) = (host @ sk__5))), 12.23/2.39 inference('simplify_reflect-', [status(thm)], 12.23/2.39 [zip_derived_cl3191, zip_derived_cl2490])). 12.23/2.39 thf(zip_derived_cl2456, plain, 12.23/2.39 (![X0 : $i]: 12.23/2.39 (((host @ sk__5) != (host @ X0)) 12.23/2.39 | ~ (elem @ (m_Down @ X0) @ (queue @ (host @ sk__10))))), 12.23/2.39 inference('simplify', [status(thm)], [zip_derived_cl2455])). 12.23/2.39 thf(zip_derived_cl3247, plain, 12.23/2.39 ((((host @ sk__5) != (host @ sk__5)) 12.23/2.39 | ~ (elem @ (m_Down @ sk__9) @ (queue @ (host @ sk__10))))), 12.23/2.39 inference('s_sup-', [status(thm)], 12.23/2.39 [zip_derived_cl3192, zip_derived_cl2456])). 12.23/2.39 thf(zip_derived_cl131, plain, 12.23/2.39 ( (elem @ (m_Down @ sk__9) @ (queue @ (host @ sk__10)))), 12.23/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 12.23/2.39 thf(zip_derived_cl3277, plain, (((host @ sk__5) != (host @ sk__5))), 12.23/2.39 inference('demod', [status(thm)], [zip_derived_cl3247, zip_derived_cl131])). 12.23/2.39 thf(zip_derived_cl3278, plain, ($false), 12.23/2.39 inference('simplify', [status(thm)], [zip_derived_cl3277])). 12.23/2.39 12.23/2.39 % SZS output end Refutation 12.23/2.39 12.23/2.39 12.23/2.39 % Terminating... 12.95/2.44 % Runner terminated. 12.95/2.46 % Zipperpin 1.5 exiting 12.95/2.47 EOF