TSTP Solution File: SWV464+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:38:51 EDT 2024
% Result : Theorem 107.36s 107.58s
% Output : Proof 107.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n007.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 07:47:44 EDT 2024
% 0.13/0.34 % CPUTime :
% 107.36/107.58 % SZS status Theorem for theBenchmark
% 107.36/107.58 % SZS output start Proof for theBenchmark
% 107.36/107.58
% 107.36/107.58 % Formula: axiom ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom-1, axiom, ( ~elem(m_Ack(_u1, _u0), queue(host(_u1))) | setIn(_u1, pids) )).
% 107.36/107.58 cnf(axiom-2, axiom, ( ~elem(m_Ack(_u1, _u0), queue(host(_u1))) | setIn(_u0, pids) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_01 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_01-1, axiom, ( ( s(host(_u3)) != host(_u2)) | ( host(_u3) != host(_u2)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_02 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_02-1, axiom, ( leq(s(zero), host(_u4)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_03 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_03-1, axiom, ( leq(s(zero), nbr_proc) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_04 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_04-1, axiom, ( leq(host(_u5), nbr_proc) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_05 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_05-1, axiom, ( ( elec_1 != elec_2) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_06 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_06-1, axiom, ( ( elec_1 != wait) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_07 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_07-1, axiom, ( ( elec_1 != norm) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_08 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_08-1, axiom, ( ( elec_2 != wait) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_09 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_09-1, axiom, ( ( elec_2 != norm) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_10 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_10-1, axiom, ( ( norm != wait) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_11 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_11-1, axiom, ( ( m_Ack(_u8, _u7) != m_Halt(_u6)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_12 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_12-1, axiom, ( ( m_Ack(_u11, _u10) != m_Down(_u9)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_13 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_13-1, axiom, ( ( m_Ack(_u14, _u13) != m_NotNorm(_u12)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_14 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_14-1, axiom, ( ( m_Ack(_u17, _u16) != m_Ldr(_u15)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_15 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_15-1, axiom, ( ( m_Ack(_u20, _u19) != m_NormQ(_u18)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_16 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_16-1, axiom, ( ( m_NotNorm(_u22) != m_Halt(_u21)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_17 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_17-1, axiom, ( ( m_Down(_u24) != m_Halt(_u23)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_18 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_18-1, axiom, ( ( m_Down(_u26) != m_Ldr(_u25)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_19 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_19-1, axiom, ( ( m_Down(_u28) != m_NotNorm(_u27)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_20 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_20-1, axiom, ( ( m_Down(_u30) != m_NormQ(_u29)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_21 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_21-1, axiom, ( ( m_NormQ(_u32) != m_Halt(_u31)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_22 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_22-1, axiom, ( ( m_Ldr(_u34) != m_Halt(_u33)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_23 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_23-1, axiom, ( ( m_Ldr(_u36) != m_NormQ(_u35)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_24 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_24-1, axiom, ( ( m_Ldr(_u38) != m_NotNorm(_u37)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_25 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_25-1, axiom, ( ( m_NormQ(_u40) != m_NotNorm(_u39)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_26 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_26-1, axiom, ( ( _u45 = _u43) | ( m_Halt(_u45) != m_Halt(_u43)) )).
% 107.36/107.58 cnf(axiom_26-2, axiom, ( ( m_Halt(_u46) = m_Halt(_u44)) | ( _u46 != _u44) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_27 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_27-1, axiom, ( ( _u51 = _u49) | ( m_NormQ(_u51) != m_NormQ(_u49)) )).
% 107.36/107.58 cnf(axiom_27-2, axiom, ( ( m_NormQ(_u52) = m_NormQ(_u50)) | ( _u52 != _u50) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_28 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_28-1, axiom, ( ( _u57 = _u55) | ( m_NotNorm(_u57) != m_NotNorm(_u55)) )).
% 107.36/107.58 cnf(axiom_28-2, axiom, ( ( m_NotNorm(_u58) = m_NotNorm(_u56)) | ( _u58 != _u56) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_29 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_29-1, axiom, ( ( _u63 = _u61) | ( m_Ldr(_u63) != m_Ldr(_u61)) )).
% 107.36/107.58 cnf(axiom_29-2, axiom, ( ( m_Ldr(_u64) = m_Ldr(_u62)) | ( _u64 != _u62) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_30 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_30-1, axiom, ( ( _u69 = _u67) | ( m_Down(_u69) != m_Down(_u67)) )).
% 107.36/107.58 cnf(axiom_30-2, axiom, ( ( m_Down(_u70) = m_Down(_u68)) | ( _u70 != _u68) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_31 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_31-1, axiom, ( ( _u74 = _u73) | ( m_Ack(_u74, _u72) != m_Ack(_u73, _u71)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_32 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_32-1, axiom, ( ( _u76 = _u75) | ( m_Ack(_u78, _u76) != m_Ack(_u77, _u75)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_33 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_33-1, axiom, ( ( host(_u80) = host(_u79)) | ( _u80 != _u79) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_34 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_34-1, axiom, ( ~setIn(nil, alive) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_35 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_35-1, axiom, ( ( head(cons(_u82, _u81)) = _u82) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_36 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_36-1, axiom, ( ( tail(cons(_u84, _u83)) = _u83) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_37 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_37-1, axiom, ( ( last(snoc(_u85, _u86)) = _u86) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_38 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_38-1, axiom, ( ( init(snoc(_u87, _u88)) = _u87) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_39 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_39-1, axiom, ( ( _u89 = q_nil) | ( _u89 = cons(head(_u89), tail(_u89))) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_40 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_40-1, axiom, ( ( _u90 = q_nil) | ( _u90 = snoc(init(_u90), last(_u90))) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_41 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_41-1, axiom, ( ( q_nil != cons(_u92, _u91)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_42 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_42-1, axiom, ( ( q_nil != snoc(_u93, _u94)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_43 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_43-1, axiom, ( ( cons(_u95, q_nil) = snoc(q_nil, _u95)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_44 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_44-1, axiom, ( ( snoc(cons(_u98, _u96), _u97) = cons(_u98, snoc(_u96, _u97))) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_45 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_45-1, axiom, ( ~elem(_u99, q_nil) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_46 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_46-1, axiom, ( ~elem(_u107, cons(_u105, _u103)) | ( _u107 = _u105) | elem(_u107, _u103) )).
% 107.36/107.58 cnf(axiom_46-2, axiom, ( elem(_u108, cons(_u106, _u104)) | ( _u108 != _u106) )).
% 107.36/107.58 cnf(axiom_46-3, axiom, ( elem(_u108, cons(_u106, _u104)) | ~elem(_u108, _u104) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_47 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_47-1, axiom, ( ~elem(_u116, snoc(_u112, _u114)) | ( _u116 = _u114) | elem(_u116, _u112) )).
% 107.36/107.58 cnf(axiom_47-2, axiom, ( elem(_u117, snoc(_u113, _u115)) | ( _u117 != _u115) )).
% 107.36/107.58 cnf(axiom_47-3, axiom, ( elem(_u117, snoc(_u113, _u115)) | ~elem(_u117, _u113) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_48 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_48-1, axiom, ( ~pidElem(_u125) | ( _u125 = m_Halt(skolem1(_u125))) | ( _u125 = m_Down(skolem2(_u125))) )).
% 107.36/107.58 cnf(axiom_48-2, axiom, ( pidElem(_u126) | ( _u126 != m_Halt(_u123)) )).
% 107.36/107.58 cnf(axiom_48-3, axiom, ( pidElem(_u126) | ( _u126 != m_Down(_u124)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_49 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_49-1, axiom, ( ( pidMsg(m_Halt(_u127)) = _u127) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_50 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_50-1, axiom, ( ( pidMsg(m_Down(_u128)) = _u128) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_51 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_51-1, axiom, ( ordered(q_nil) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_52 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_52-1, axiom, ( ordered(cons(_u130, q_nil)) )).
% 107.36/107.58 cnf(axiom_52-2, axiom, ( ordered(snoc(q_nil, _u131)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_53 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_53-1, axiom, ( ~ordered(cons(_u138, _u136)) | ordered(_u136) )).
% 107.36/107.58 cnf(axiom_53-2, axiom, ( ~ordered(cons(_u138, _u136)) | ~elem(_u132, _u136) | ~pidElem(_u138) | ~pidElem(_u132) | ( host(pidMsg(_u132)) != host(pidMsg(_u138))) | leq(pidMsg(_u138), pidMsg(_u132)) )).
% 107.36/107.58 cnf(axiom_53-3, axiom, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | elem(skolem3(_u139, _u137), _u137) )).
% 107.36/107.58 cnf(axiom_53-4, axiom, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | pidElem(_u139) )).
% 107.36/107.58 cnf(axiom_53-5, axiom, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | pidElem(skolem3(_u139, _u137)) )).
% 107.36/107.58 cnf(axiom_53-6, axiom, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | ( host(pidMsg(skolem3(_u139, _u137))) = host(pidMsg(_u139))) )).
% 107.36/107.58 cnf(axiom_53-7, axiom, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | ~leq(pidMsg(_u139), pidMsg(skolem3(_u139, _u137))) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_54 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_54-1, axiom, ( ~ordered(snoc(_u144, _u146)) | ordered(_u144) )).
% 107.36/107.58 cnf(axiom_54-2, axiom, ( ~ordered(snoc(_u144, _u146)) | ~elem(_u140, _u144) | ~pidElem(_u146) | ~pidElem(_u140) | ( host(pidMsg(_u140)) != host(pidMsg(_u146))) | leq(pidMsg(_u140), pidMsg(_u146)) )).
% 107.36/107.58 cnf(axiom_54-3, axiom, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | elem(skolem4(_u147, _u145), _u145) )).
% 107.36/107.58 cnf(axiom_54-4, axiom, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | pidElem(_u147) )).
% 107.36/107.58 cnf(axiom_54-5, axiom, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | pidElem(skolem4(_u147, _u145)) )).
% 107.36/107.58 cnf(axiom_54-6, axiom, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | ( host(pidMsg(skolem4(_u147, _u145))) = host(pidMsg(_u147))) )).
% 107.36/107.58 cnf(axiom_54-7, axiom, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | ~leq(pidMsg(skolem4(_u147, _u145)), pidMsg(_u147)) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_55 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_55-1, axiom, ( ~ordered(_u150) | ordered(snoc(_u150, m_Ack(_u149, _u148))) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_56 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_56-1, axiom, ( ~ordered(_u152) | ordered(snoc(_u152, m_Ldr(_u151))) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_57 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_57-1, axiom, ( ~ordered(cons(m_Halt(_u154), _u155)) | ( host(_u154) != host(_u153)) | ~elem(m_Down(_u153), _u155) | leq(_u154, _u153) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_58 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_58-1, axiom, ( ~leq(s(_u156), _u156) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_59 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_59-1, axiom, ( leq(_u157, _u157) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_60 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_60-1, axiom, ( leq(_u159, _u158) | leq(_u158, _u159) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_61 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_61-1, axiom, ( ~leq(_u164, _u162) | ~leq(_u162, _u164) | ( _u164 = _u162) )).
% 107.36/107.58 cnf(axiom_61-2, axiom, ( ( _u165 != _u163) | leq(_u165, _u163) )).
% 107.36/107.58 cnf(axiom_61-3, axiom, ( ( _u165 != _u163) | leq(_u163, _u165) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_62 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_62-1, axiom, ( ~leq(_u168, _u167) | ~leq(_u167, _u166) | leq(_u168, _u166) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_63 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_63-1, axiom, ( ~leq(_u173, _u171) | leq(s(_u173), s(_u171)) )).
% 107.36/107.58 cnf(axiom_63-2, axiom, ( ~leq(s(_u174), s(_u172)) | leq(_u174, _u172) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_64 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_64-1, axiom, ( ~leq(_u179, s(_u177)) | ( _u179 = s(_u177)) | leq(_u179, _u177) )).
% 107.36/107.58 cnf(axiom_64-2, axiom, ( leq(_u180, s(_u178)) | ( _u180 != s(_u178)) )).
% 107.36/107.58 cnf(axiom_64-3, axiom, ( leq(_u180, s(_u178)) | ~leq(_u180, _u178) )).
% 107.36/107.58
% 107.36/107.58 % Formula: axiom_65 ( axiom ) converted to clauses:
% 107.36/107.58 cnf(axiom_65-1, axiom, ( ~setIn(_u181, setEmpty) )).
% 107.36/107.58
% 107.36/107.58 % Formula: conj ( conjecture ) (definitionally) converted to clauses:
% 107.36/107.58 cnf(conj-1, negated_conjecture, ( ~elem(m_Ldr(_u182), queue(host(_u183))) | ~leq(host(_u183), host(_u182)) )).
% 107.36/107.58 cnf(conj-2, negated_conjecture, ( ~elem(m_Down(_u184), queue(host(_u185))) | ( host(_u184) != host(_u185)) )).
% 107.36/107.58 cnf(conj-3, negated_conjecture, ( ~elem(m_Halt(_u186), queue(host(_u187))) | ~leq(host(_u187), host(_u186)) )).
% 107.36/107.58 cnf(conj-4, negated_conjecture, ( ~elem(m_Ack(_u188, _u190), queue(host(_u189))) | ~leq(host(_u190), host(_u188)) )).
% 107.36/107.58 cnf(conj-5, negated_conjecture, ( ( _u191 = _u192) | ( host(_u191) != host(_u192)) | ~setIn(_u192, alive) | ~setIn(_u191, alive) )).
% 107.36/107.58 cnf(conj-6, negated_conjecture, ( ~setIn(_u193, alive) | ~elem(m_Ack(_u193, _u194), queue(host(_u193))) | leq(host(_u194), index(pendack, host(_u193))) )).
% 107.36/107.58 cnf(conj-7, negated_conjecture, ( ~setIn(_u195, alive) | ( index(status, host(_u195)) != elec_1) | ~elem(m_Ack(_u195, _u196), queue(host(_u195))) )).
% 107.36/107.58 cnf(conj-8, negated_conjecture, ( ~_def0(_u197) | ~setIn(_u197, alive) | ( index(elid, host(_u197)) = _u197) )).
% 107.36/107.58 cnf(conj-9, negated_conjecture, ( ~setIn(_u198, alive) | ~elem(m_Down(_u199), queue(host(_u198))) | ( host(_u199) != host(_u200)) | ~setIn(_u200, alive) | ( index(ldr, host(_u200)) != host(_u200)) | ( index(status, host(_u200)) != norm) )).
% 107.36/107.58 cnf(conj-10, negated_conjecture, ( leq(host(_u202), host(_u201)) | ~setIn(_u202, alive) | ~setIn(_u201, alive) | ( index(status, host(_u202)) != elec_2) | ( index(status, host(_u201)) != elec_2) | leq(index(pendack, host(_u201)), host(_u202)) )).
% 107.36/107.58 cnf(conj-11, negated_conjecture, ( ~setIn(_u205, alive) | ~setIn(_u203, alive) | ( host(_u203) != host(_u204)) | ( index(status, host(_u205)) != elec_2) | ( index(status, host(_u203)) != elec_2) | ~elem(m_Ack(_u205, _u204), queue(host(_u205))) )).
% 107.36/107.58 cnf(conj-12, negated_conjecture, ( leq(host(_u207), host(_u206)) | ~setIn(_u207, alive) | ~setIn(_u206, alive) | ( index(status, host(_u207)) != elec_2) | ( index(status, host(_u206)) != elec_2) | ~leq(index(pendack, host(_u207)), index(pendack, host(_u206))) )).
% 107.36/107.58 cnf(conj-13, negated_conjecture, ( leq(index(pendack, host(_u208)), host(_u210)) | ~setIn(_u208, alive) | ~elem(m_Halt(_u208), queue(host(_u209))) | ( index(status, host(_u208)) != elec_2) | ~setIn(_u210, alive) | ( index(ldr, host(_u210)) != host(_u210)) | ( index(status, host(_u210)) != norm) )).
% 107.36/107.58 cnf(conj-14, negated_conjecture, ( ~_def1(_u212, _u214, _u215, _u213) | ~elem(m_Down(_u213), queue(host(_u212))) | ( host(_u212) != nbr_proc) | ( host(_u212) != host(_u214)) | ( index(status, host(_u212)) != elec_1) | ~setIn(_u215, alive) | ~elem(m_Down(_u214), queue(host(_u215))) )).
% 107.36/107.58 cnf(conj-15, negated_conjecture, ( ~setIn(_u216, alive) | ~elem(m_Down(_u217), queue(host(_u216))) | ~elem(m_Ack(_u216, _u218), queue(host(_u216))) | ~leq(nbr_proc, s(index(pendack, host(_u216)))) | ( index(status, host(_u216)) != elec_2) | ( host(_u218) != index(pendack, host(_u216))) | ( host(_u217) != s(index(pendack, host(_u216)))) | ~setIn(_u219, alive) | ( index(ldr, host(_u219)) != host(_u219)) | ( index(status, host(_u219)) != norm) )).
% 107.36/107.58 cnf(conj-16, negated_conjecture, ( ( queue(host(skolem7)) = cons(m_Ack(skolem6, skolem8), skolem5)) )).
% 107.36/107.58 cnf(conj-17, negated_conjecture, ( setIn(skolem7, alive) )).
% 107.36/107.58 cnf(conj-18, negated_conjecture, ( ( index(elid, host(skolem7)) = skolem6) )).
% 107.36/107.58 cnf(conj-19, negated_conjecture, ( ( index(status, host(skolem7)) = elec_2) )).
% 107.36/107.58 cnf(conj-20, negated_conjecture, ( ( host(skolem8) = index(pendack, host(skolem7))) )).
% 107.36/107.58 cnf(conj-21, negated_conjecture, ( ~leq(nbr_proc, index(pendack, host(skolem7))) )).
% 107.36/107.58 cnf(conj-22, negated_conjecture, ( ( s(index(pendack, host(skolem7))) = host(skolem13)) )).
% 107.36/107.58 cnf(conj-23, negated_conjecture, ( ( host(skolem7) != host(skolem13)) )).
% 107.36/107.58 cnf(conj-24, negated_conjecture, ( setIn(skolem13, alive) )).
% 107.36/107.58 cnf(conj-25, negated_conjecture, ( leq(nbr_proc, s(index(pendack, host(skolem13)))) )).
% 107.36/107.58 cnf(conj-26, negated_conjecture, ( elem(m_Down(skolem12), snoc(queue(host(skolem13)), m_Halt(skolem7))) )).
% 107.36/107.58 cnf(conj-27, negated_conjecture, ( elem(m_Ack(skolem13, skolem11), snoc(queue(host(skolem13)), m_Halt(skolem7))) )).
% 107.36/107.58 cnf(conj-28, negated_conjecture, ( ( index(status, host(skolem13)) = elec_2) )).
% 107.36/107.58 cnf(conj-29, negated_conjecture, ( ( host(skolem11) = index(pendack, host(skolem13))) )).
% 107.36/107.58 cnf(conj-30, negated_conjecture, ( ( host(skolem12) = s(index(pendack, host(skolem13)))) )).
% 107.36/107.58 cnf(conj-31, negated_conjecture, ( setIn(skolem10, alive) )).
% 107.36/107.58 cnf(conj-32, negated_conjecture, ( ( index(ldr, host(skolem10)) = host(skolem10)) )).
% 107.36/107.58 cnf(conj-33, negated_conjecture, ( ( index(status, host(skolem10)) = norm) )).
% 107.36/107.58 cnf(conj-34, negated_conjecture, ( _def0(_u197) | ( index(status, host(_u197)) != elec_1) )).
% 107.36/107.58 cnf(conj-35, negated_conjecture, ( _def0(_u197) | ( index(status, host(_u197)) != elec_2) )).
% 107.36/107.58 cnf(conj-36, negated_conjecture, ( _def1(_u212, _u214, _u215, _u213) | ~leq(host(_u212), skolem9(_u215, _u214, _u213, _u212)) )).
% 107.36/107.58 cnf(conj-37, negated_conjecture, ( _def1(_u212, _u214, _u215, _u213) | leq(s(zero), skolem9(_u215, _u214, _u213, _u212)) )).
% 107.36/107.58 cnf(conj-38, negated_conjecture, ( _def1(_u212, _u214, _u215, _u213) | ~setIn(skolem9(_u215, _u214, _u213, _u212), index(down, host(_u212))) )).
% 107.36/107.58 cnf(conj-39, negated_conjecture, ( _def1(_u212, _u214, _u215, _u213) | ( skolem9(_u215, _u214, _u213, _u212) != host(_u213)) )).
% 107.36/107.58
% 107.36/107.58 % Problem matrix:
% 107.36/107.58 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 107.36/107.58 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 107.36/107.58 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 107.36/107.58 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( m_Ack(__eqx_0, __eqx_1) = m_Ack(__eqy_0, __eqy_1)) )).
% 107.36/107.58 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( host(__eqx_0) = host(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( queue(__eqx_0) = queue(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( s(__eqx_0) = s(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( m_Halt(__eqx_0) = m_Halt(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( m_Down(__eqx_0) = m_Down(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( m_NotNorm(__eqx_0) = m_NotNorm(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( m_Ldr(__eqx_0) = m_Ldr(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( m_NormQ(__eqx_0) = m_NormQ(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cons(__eqx_0, __eqx_1) = cons(__eqy_0, __eqy_1)) )).
% 107.36/107.58 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( head(__eqx_0) = head(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( tail(__eqx_0) = tail(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( snoc(__eqx_0, __eqx_1) = snoc(__eqy_0, __eqy_1)) )).
% 107.36/107.58 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( last(__eqx_0) = last(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( init(__eqx_0) = init(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( pidMsg(__eqx_0) = pidMsg(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( index(__eqx_0, __eqx_1) = index(__eqy_0, __eqy_1)) )).
% 107.36/107.58 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 107.36/107.58 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 107.36/107.58 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 107.36/107.58 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 107.36/107.58 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~elem(__eqx_0, __eqx_1) | elem(__eqy_0, __eqy_1) )).
% 107.36/107.58 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~setIn(__eqx_0, __eqx_1) | setIn(__eqy_0, __eqy_1) )).
% 107.36/107.58 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 107.36/107.58 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ~pidElem(__eqx_0) | pidElem(__eqy_0) )).
% 107.36/107.58 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~ordered(__eqx_0) | ordered(__eqy_0) )).
% 107.36/107.58 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 107.36/107.58 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~_def1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | _def1(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 107.36/107.58 cnf(matrix-32, plain, ( ~elem(m_Ack(_u1, _u0), queue(host(_u1))) | setIn(_u1, pids) )).
% 107.36/107.58 cnf(matrix-33, plain, ( ~elem(m_Ack(_u1, _u0), queue(host(_u1))) | setIn(_u0, pids) )).
% 107.36/107.58 cnf(matrix-34, plain, ( ( s(host(_u3)) != host(_u2)) | ( host(_u3) != host(_u2)) )).
% 107.36/107.58 cnf(matrix-35, plain, ( leq(s(zero), host(_u4)) )).
% 107.36/107.58 cnf(matrix-36, plain, ( leq(s(zero), nbr_proc) )).
% 107.36/107.58 cnf(matrix-37, plain, ( leq(host(_u5), nbr_proc) )).
% 107.36/107.58 cnf(matrix-38, plain, ( ( elec_1 != elec_2) )).
% 107.36/107.58 cnf(matrix-39, plain, ( ( elec_1 != wait) )).
% 107.36/107.58 cnf(matrix-40, plain, ( ( elec_1 != norm) )).
% 107.36/107.58 cnf(matrix-41, plain, ( ( elec_2 != wait) )).
% 107.36/107.58 cnf(matrix-42, plain, ( ( elec_2 != norm) )).
% 107.36/107.58 cnf(matrix-43, plain, ( ( norm != wait) )).
% 107.36/107.58 cnf(matrix-44, plain, ( ( m_Ack(_u8, _u7) != m_Halt(_u6)) )).
% 107.36/107.58 cnf(matrix-45, plain, ( ( m_Ack(_u11, _u10) != m_Down(_u9)) )).
% 107.36/107.58 cnf(matrix-46, plain, ( ( m_Ack(_u14, _u13) != m_NotNorm(_u12)) )).
% 107.36/107.58 cnf(matrix-47, plain, ( ( m_Ack(_u17, _u16) != m_Ldr(_u15)) )).
% 107.36/107.58 cnf(matrix-48, plain, ( ( m_Ack(_u20, _u19) != m_NormQ(_u18)) )).
% 107.36/107.58 cnf(matrix-49, plain, ( ( m_NotNorm(_u22) != m_Halt(_u21)) )).
% 107.36/107.58 cnf(matrix-50, plain, ( ( m_Down(_u24) != m_Halt(_u23)) )).
% 107.36/107.58 cnf(matrix-51, plain, ( ( m_Down(_u26) != m_Ldr(_u25)) )).
% 107.36/107.58 cnf(matrix-52, plain, ( ( m_Down(_u28) != m_NotNorm(_u27)) )).
% 107.36/107.58 cnf(matrix-53, plain, ( ( m_Down(_u30) != m_NormQ(_u29)) )).
% 107.36/107.58 cnf(matrix-54, plain, ( ( m_NormQ(_u32) != m_Halt(_u31)) )).
% 107.36/107.58 cnf(matrix-55, plain, ( ( m_Ldr(_u34) != m_Halt(_u33)) )).
% 107.36/107.58 cnf(matrix-56, plain, ( ( m_Ldr(_u36) != m_NormQ(_u35)) )).
% 107.36/107.58 cnf(matrix-57, plain, ( ( m_Ldr(_u38) != m_NotNorm(_u37)) )).
% 107.36/107.58 cnf(matrix-58, plain, ( ( m_NormQ(_u40) != m_NotNorm(_u39)) )).
% 107.36/107.58 cnf(matrix-59, plain, ( ( _u45 = _u43) | ( m_Halt(_u45) != m_Halt(_u43)) )).
% 107.36/107.58 cnf(matrix-60, plain, ( ( m_Halt(_u46) = m_Halt(_u44)) | ( _u46 != _u44) )).
% 107.36/107.58 cnf(matrix-61, plain, ( ( _u51 = _u49) | ( m_NormQ(_u51) != m_NormQ(_u49)) )).
% 107.36/107.58 cnf(matrix-62, plain, ( ( m_NormQ(_u52) = m_NormQ(_u50)) | ( _u52 != _u50) )).
% 107.36/107.58 cnf(matrix-63, plain, ( ( _u57 = _u55) | ( m_NotNorm(_u57) != m_NotNorm(_u55)) )).
% 107.36/107.58 cnf(matrix-64, plain, ( ( m_NotNorm(_u58) = m_NotNorm(_u56)) | ( _u58 != _u56) )).
% 107.36/107.58 cnf(matrix-65, plain, ( ( _u63 = _u61) | ( m_Ldr(_u63) != m_Ldr(_u61)) )).
% 107.36/107.58 cnf(matrix-66, plain, ( ( m_Ldr(_u64) = m_Ldr(_u62)) | ( _u64 != _u62) )).
% 107.36/107.58 cnf(matrix-67, plain, ( ( _u69 = _u67) | ( m_Down(_u69) != m_Down(_u67)) )).
% 107.36/107.58 cnf(matrix-68, plain, ( ( m_Down(_u70) = m_Down(_u68)) | ( _u70 != _u68) )).
% 107.36/107.58 cnf(matrix-69, plain, ( ( _u74 = _u73) | ( m_Ack(_u74, _u72) != m_Ack(_u73, _u71)) )).
% 107.36/107.58 cnf(matrix-70, plain, ( ( _u76 = _u75) | ( m_Ack(_u78, _u76) != m_Ack(_u77, _u75)) )).
% 107.36/107.58 cnf(matrix-71, plain, ( ( host(_u80) = host(_u79)) | ( _u80 != _u79) )).
% 107.36/107.58 cnf(matrix-72, plain, ( ~setIn(nil, alive) )).
% 107.36/107.58 cnf(matrix-73, plain, ( ( head(cons(_u82, _u81)) = _u82) )).
% 107.36/107.58 cnf(matrix-74, plain, ( ( tail(cons(_u84, _u83)) = _u83) )).
% 107.36/107.58 cnf(matrix-75, plain, ( ( last(snoc(_u85, _u86)) = _u86) )).
% 107.36/107.58 cnf(matrix-76, plain, ( ( init(snoc(_u87, _u88)) = _u87) )).
% 107.36/107.58 cnf(matrix-77, plain, ( ( _u89 = q_nil) | ( _u89 = cons(head(_u89), tail(_u89))) )).
% 107.36/107.58 cnf(matrix-78, plain, ( ( _u90 = q_nil) | ( _u90 = snoc(init(_u90), last(_u90))) )).
% 107.36/107.58 cnf(matrix-79, plain, ( ( q_nil != cons(_u92, _u91)) )).
% 107.36/107.58 cnf(matrix-80, plain, ( ( q_nil != snoc(_u93, _u94)) )).
% 107.36/107.58 cnf(matrix-81, plain, ( ( cons(_u95, q_nil) = snoc(q_nil, _u95)) )).
% 107.36/107.58 cnf(matrix-82, plain, ( ( snoc(cons(_u98, _u96), _u97) = cons(_u98, snoc(_u96, _u97))) )).
% 107.36/107.58 cnf(matrix-83, plain, ( ~elem(_u99, q_nil) )).
% 107.36/107.58 cnf(matrix-84, plain, ( ~elem(_u107, cons(_u105, _u103)) | ( _u107 = _u105) | elem(_u107, _u103) )).
% 107.36/107.58 cnf(matrix-85, plain, ( elem(_u108, cons(_u106, _u104)) | ( _u108 != _u106) )).
% 107.36/107.58 cnf(matrix-86, plain, ( elem(_u108, cons(_u106, _u104)) | ~elem(_u108, _u104) )).
% 107.36/107.58 cnf(matrix-87, plain, ( ~elem(_u116, snoc(_u112, _u114)) | ( _u116 = _u114) | elem(_u116, _u112) )).
% 107.36/107.58 cnf(matrix-88, plain, ( elem(_u117, snoc(_u113, _u115)) | ( _u117 != _u115) )).
% 107.36/107.58 cnf(matrix-89, plain, ( elem(_u117, snoc(_u113, _u115)) | ~elem(_u117, _u113) )).
% 107.36/107.58 cnf(matrix-90, plain, ( ~pidElem(_u125) | ( _u125 = m_Halt(skolem1(_u125))) | ( _u125 = m_Down(skolem2(_u125))) )).
% 107.36/107.58 cnf(matrix-91, plain, ( pidElem(_u126) | ( _u126 != m_Halt(_u123)) )).
% 107.36/107.58 cnf(matrix-92, plain, ( pidElem(_u126) | ( _u126 != m_Down(_u124)) )).
% 107.36/107.58 cnf(matrix-93, plain, ( ( pidMsg(m_Halt(_u127)) = _u127) )).
% 107.36/107.58 cnf(matrix-94, plain, ( ( pidMsg(m_Down(_u128)) = _u128) )).
% 107.36/107.58 cnf(matrix-95, plain, ( ordered(q_nil) )).
% 107.36/107.58 cnf(matrix-96, plain, ( ordered(cons(_u130, q_nil)) )).
% 107.36/107.58 cnf(matrix-97, plain, ( ordered(snoc(q_nil, _u131)) )).
% 107.36/107.58 cnf(matrix-98, plain, ( ~ordered(cons(_u138, _u136)) | ordered(_u136) )).
% 107.36/107.58 cnf(matrix-99, plain, ( ~ordered(cons(_u138, _u136)) | ~elem(_u132, _u136) | ~pidElem(_u138) | ~pidElem(_u132) | ( host(pidMsg(_u132)) != host(pidMsg(_u138))) | leq(pidMsg(_u138), pidMsg(_u132)) )).
% 107.36/107.58 cnf(matrix-100, plain, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | elem(skolem3(_u139, _u137), _u137) )).
% 107.36/107.58 cnf(matrix-101, plain, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | pidElem(_u139) )).
% 107.36/107.58 cnf(matrix-102, plain, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | pidElem(skolem3(_u139, _u137)) )).
% 107.36/107.58 cnf(matrix-103, plain, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | ( host(pidMsg(skolem3(_u139, _u137))) = host(pidMsg(_u139))) )).
% 107.36/107.58 cnf(matrix-104, plain, ( ordered(cons(_u139, _u137)) | ~ordered(_u137) | ~leq(pidMsg(_u139), pidMsg(skolem3(_u139, _u137))) )).
% 107.36/107.58 cnf(matrix-105, plain, ( ~ordered(snoc(_u144, _u146)) | ordered(_u144) )).
% 107.36/107.58 cnf(matrix-106, plain, ( ~ordered(snoc(_u144, _u146)) | ~elem(_u140, _u144) | ~pidElem(_u146) | ~pidElem(_u140) | ( host(pidMsg(_u140)) != host(pidMsg(_u146))) | leq(pidMsg(_u140), pidMsg(_u146)) )).
% 107.36/107.58 cnf(matrix-107, plain, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | elem(skolem4(_u147, _u145), _u145) )).
% 107.36/107.58 cnf(matrix-108, plain, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | pidElem(_u147) )).
% 107.36/107.58 cnf(matrix-109, plain, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | pidElem(skolem4(_u147, _u145)) )).
% 107.36/107.58 cnf(matrix-110, plain, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | ( host(pidMsg(skolem4(_u147, _u145))) = host(pidMsg(_u147))) )).
% 107.36/107.58 cnf(matrix-111, plain, ( ordered(snoc(_u145, _u147)) | ~ordered(_u145) | ~leq(pidMsg(skolem4(_u147, _u145)), pidMsg(_u147)) )).
% 107.36/107.58 cnf(matrix-112, plain, ( ~ordered(_u150) | ordered(snoc(_u150, m_Ack(_u149, _u148))) )).
% 107.36/107.58 cnf(matrix-113, plain, ( ~ordered(_u152) | ordered(snoc(_u152, m_Ldr(_u151))) )).
% 107.36/107.58 cnf(matrix-114, plain, ( ~ordered(cons(m_Halt(_u154), _u155)) | ( host(_u154) != host(_u153)) | ~elem(m_Down(_u153), _u155) | leq(_u154, _u153) )).
% 107.36/107.58 cnf(matrix-115, plain, ( ~leq(s(_u156), _u156) )).
% 107.36/107.58 cnf(matrix-116, plain, ( leq(_u157, _u157) )).
% 107.36/107.58 cnf(matrix-117, plain, ( leq(_u159, _u158) | leq(_u158, _u159) )).
% 107.36/107.58 cnf(matrix-118, plain, ( ~leq(_u164, _u162) | ~leq(_u162, _u164) | ( _u164 = _u162) )).
% 107.36/107.58 cnf(matrix-119, plain, ( ( _u165 != _u163) | leq(_u165, _u163) )).
% 107.36/107.58 cnf(matrix-120, plain, ( ( _u165 != _u163) | leq(_u163, _u165) )).
% 107.36/107.58 cnf(matrix-121, plain, ( ~leq(_u168, _u167) | ~leq(_u167, _u166) | leq(_u168, _u166) )).
% 107.36/107.58 cnf(matrix-122, plain, ( ~leq(_u173, _u171) | leq(s(_u173), s(_u171)) )).
% 107.36/107.58 cnf(matrix-123, plain, ( ~leq(s(_u174), s(_u172)) | leq(_u174, _u172) )).
% 107.36/107.58 cnf(matrix-124, plain, ( ~leq(_u179, s(_u177)) | ( _u179 = s(_u177)) | leq(_u179, _u177) )).
% 107.36/107.58 cnf(matrix-125, plain, ( leq(_u180, s(_u178)) | ( _u180 != s(_u178)) )).
% 107.36/107.58 cnf(matrix-126, plain, ( leq(_u180, s(_u178)) | ~leq(_u180, _u178) )).
% 107.36/107.58 cnf(matrix-127, plain, ( ~setIn(_u181, setEmpty) )).
% 107.36/107.58 cnf(matrix-128, plain, ( ~elem(m_Ldr(_u182), queue(host(_u183))) | ~leq(host(_u183), host(_u182)) )).
% 107.36/107.58 cnf(matrix-129, plain, ( ~elem(m_Down(_u184), queue(host(_u185))) | ( host(_u184) != host(_u185)) )).
% 107.36/107.58 cnf(matrix-130, plain, ( ~elem(m_Halt(_u186), queue(host(_u187))) | ~leq(host(_u187), host(_u186)) )).
% 107.36/107.58 cnf(matrix-131, plain, ( ~elem(m_Ack(_u188, _u190), queue(host(_u189))) | ~leq(host(_u190), host(_u188)) )).
% 107.36/107.58 cnf(matrix-132, plain, ( ( _u191 = _u192) | ( host(_u191) != host(_u192)) | ~setIn(_u192, alive) | ~setIn(_u191, alive) )).
% 107.36/107.58 cnf(matrix-133, plain, ( ~setIn(_u193, alive) | ~elem(m_Ack(_u193, _u194), queue(host(_u193))) | leq(host(_u194), index(pendack, host(_u193))) )).
% 107.36/107.58 cnf(matrix-134, plain, ( ~setIn(_u195, alive) | ( index(status, host(_u195)) != elec_1) | ~elem(m_Ack(_u195, _u196), queue(host(_u195))) )).
% 107.36/107.58 cnf(matrix-135, plain, ( ~_def0(_u197) | ~setIn(_u197, alive) | ( index(elid, host(_u197)) = _u197) )).
% 107.36/107.58 cnf(matrix-136, plain, ( ~setIn(_u198, alive) | ~elem(m_Down(_u199), queue(host(_u198))) | ( host(_u199) != host(_u200)) | ~setIn(_u200, alive) | ( index(ldr, host(_u200)) != host(_u200)) | ( index(status, host(_u200)) != norm) )).
% 107.36/107.58 cnf(matrix-137, plain, ( leq(host(_u202), host(_u201)) | ~setIn(_u202, alive) | ~setIn(_u201, alive) | ( index(status, host(_u202)) != elec_2) | ( index(status, host(_u201)) != elec_2) | leq(index(pendack, host(_u201)), host(_u202)) )).
% 107.36/107.58 cnf(matrix-138, plain, ( ~setIn(_u205, alive) | ~setIn(_u203, alive) | ( host(_u203) != host(_u204)) | ( index(status, host(_u205)) != elec_2) | ( index(status, host(_u203)) != elec_2) | ~elem(m_Ack(_u205, _u204), queue(host(_u205))) )).
% 107.36/107.58 cnf(matrix-139, plain, ( leq(host(_u207), host(_u206)) | ~setIn(_u207, alive) | ~setIn(_u206, alive) | ( index(status, host(_u207)) != elec_2) | ( index(status, host(_u206)) != elec_2) | ~leq(index(pendack, host(_u207)), index(pendack, host(_u206))) )).
% 107.36/107.58 cnf(matrix-140, plain, ( leq(index(pendack, host(_u208)), host(_u210)) | ~setIn(_u208, alive) | ~elem(m_Halt(_u208), queue(host(_u209))) | ( index(status, host(_u208)) != elec_2) | ~setIn(_u210, alive) | ( index(ldr, host(_u210)) != host(_u210)) | ( index(status, host(_u210)) != norm) )).
% 107.36/107.58 cnf(matrix-141, plain, ( ~_def1(_u212, _u214, _u215, _u213) | ~elem(m_Down(_u213), queue(host(_u212))) | ( host(_u212) != nbr_proc) | ( host(_u212) != host(_u214)) | ( index(status, host(_u212)) != elec_1) | ~setIn(_u215, alive) | ~elem(m_Down(_u214), queue(host(_u215))) )).
% 107.36/107.58 cnf(matrix-142, plain, ( ~setIn(_u216, alive) | ~elem(m_Down(_u217), queue(host(_u216))) | ~elem(m_Ack(_u216, _u218), queue(host(_u216))) | ~leq(nbr_proc, s(index(pendack, host(_u216)))) | ( index(status, host(_u216)) != elec_2) | ( host(_u218) != index(pendack, host(_u216))) | ( host(_u217) != s(index(pendack, host(_u216)))) | ~setIn(_u219, alive) | ( index(ldr, host(_u219)) != host(_u219)) | ( index(status, host(_u219)) != norm) )).
% 107.36/107.58 cnf(matrix-143, plain, ( ( queue(host(skolem7)) = cons(m_Ack(skolem6, skolem8), skolem5)) )).
% 107.36/107.58 cnf(matrix-144, plain, ( setIn(skolem7, alive) )).
% 107.36/107.58 cnf(matrix-145, plain, ( ( index(elid, host(skolem7)) = skolem6) )).
% 107.36/107.58 cnf(matrix-146, plain, ( ( index(status, host(skolem7)) = elec_2) )).
% 107.36/107.58 cnf(matrix-147, plain, ( ( host(skolem8) = index(pendack, host(skolem7))) )).
% 107.36/107.58 cnf(matrix-148, plain, ( ~leq(nbr_proc, index(pendack, host(skolem7))) )).
% 107.36/107.58 cnf(matrix-149, plain, ( ( s(index(pendack, host(skolem7))) = host(skolem13)) )).
% 107.36/107.58 cnf(matrix-150, plain, ( ( host(skolem7) != host(skolem13)) )).
% 107.36/107.58 cnf(matrix-151, plain, ( setIn(skolem13, alive) )).
% 107.36/107.58 cnf(matrix-152, plain, ( leq(nbr_proc, s(index(pendack, host(skolem13)))) )).
% 107.36/107.58 cnf(matrix-153, plain, ( elem(m_Down(skolem12), snoc(queue(host(skolem13)), m_Halt(skolem7))) )).
% 107.36/107.58 cnf(matrix-154, plain, ( elem(m_Ack(skolem13, skolem11), snoc(queue(host(skolem13)), m_Halt(skolem7))) )).
% 107.36/107.58 cnf(matrix-155, plain, ( ( index(status, host(skolem13)) = elec_2) )).
% 107.36/107.58 cnf(matrix-156, plain, ( ( host(skolem11) = index(pendack, host(skolem13))) )).
% 107.36/107.58 cnf(matrix-157, plain, ( ( host(skolem12) = s(index(pendack, host(skolem13)))) )).
% 107.36/107.58 cnf(matrix-158, plain, ( setIn(skolem10, alive) )).
% 107.36/107.58 cnf(matrix-159, plain, ( ( index(ldr, host(skolem10)) = host(skolem10)) )).
% 107.36/107.58 cnf(matrix-160, plain, ( ( index(status, host(skolem10)) = norm) )).
% 107.36/107.58 cnf(matrix-161, plain, ( _def0(_u197) | ( index(status, host(_u197)) != elec_1) )).
% 107.36/107.58 cnf(matrix-162, plain, ( _def0(_u197) | ( index(status, host(_u197)) != elec_2) )).
% 107.36/107.58 cnf(matrix-163, plain, ( _def1(_u212, _u214, _u215, _u213) | ~leq(host(_u212), skolem9(_u215, _u214, _u213, _u212)) )).
% 107.36/107.58 cnf(matrix-164, plain, ( _def1(_u212, _u214, _u215, _u213) | leq(s(zero), skolem9(_u215, _u214, _u213, _u212)) )).
% 107.36/107.58 cnf(matrix-165, plain, ( _def1(_u212, _u214, _u215, _u213) | ~setIn(skolem9(_u215, _u214, _u213, _u212), index(down, host(_u212))) )).
% 107.36/107.58 cnf(matrix-166, plain, ( _def1(_u212, _u214, _u215, _u213) | ( skolem9(_u215, _u214, _u213, _u212) != host(_u213)) )).
% 107.36/107.58
% 107.36/107.58 % Proof stack:
% 107.36/107.58 cnf(proof-stack, plain,
% 107.36/107.58 proof_stack(
% 107.36/107.58 start(151),
% 107.36/107.58 left_branch(0, 142, 0, 2),
% 107.36/107.58 left_branch(0, 160, 0, 3),
% 107.36/107.58 right_branch(3),
% 107.36/107.58 left_branch(0, 159, 0, 4),
% 107.36/107.58 right_branch(4),
% 107.36/107.58 left_branch(0, 158, 0, 5),
% 107.36/107.58 right_branch(5),
% 107.36/107.58 left_branch(0, 157, 0, 6),
% 107.36/107.58 right_branch(6),
% 107.36/107.58 left_branch(0, 156, 0, 7),
% 107.36/107.58 right_branch(7),
% 107.36/107.58 left_branch(0, 155, 0, 8),
% 107.36/107.58 right_branch(8),
% 107.36/107.58 left_branch(0, 152, 0, 9),
% 107.36/107.58 right_branch(9),
% 107.36/107.58 left_branch(0, 87, 2, 10),
% 107.36/107.58 left_branch(0, 154, 0, 11),
% 107.36/107.58 right_branch(11),
% 107.36/107.58 left_branch(0, 44, 0, 12),
% 107.36/107.58 right_branch(12),
% 107.36/107.58 right_branch(10),
% 107.36/107.58 left_branch(0, 87, 2, 11),
% 107.36/107.58 left_branch(0, 153, 0, 12),
% 107.36/107.58 right_branch(12),
% 107.36/107.58 left_branch(0, 50, 0, 13),
% 107.36/107.58 right_branch(13),
% 107.36/107.58 right_branch(11),
% 107.36/107.58 right_branch(2)
% 107.36/107.58 )).
% 107.36/107.58 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------