TSTP Solution File: SWV459+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV459+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 : 600s
% DateTime : Wed Jul 20 19:51:08 EDT 2022
% Result : Theorem 220.00s 212.55s
% Output : Proof 220.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV459+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 23:28:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 220.00/212.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 220.00/212.56 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 220.00/212.56
% 220.00/212.56 %-----------------------------------------------------
% 220.00/212.56 fof(conj, conjecture, ! [_159484, _159487, _159490, _159493] : (! [_159501] : leq(index(pendack, host(_159501)), nbr_proc) & ! [_159501, _159532] : (elem(m_Down(_159532), queue(host(_159501))) => ~ setIn(_159532, alive)) & ! [_159501, _159532] : (elem(m_Ldr(_159532), queue(host(_159501))) => ~ leq(host(_159501), host(_159532))) & ! [_159501, _159532] : (elem(m_Halt(_159532), queue(host(_159501))) => ~ leq(host(_159501), host(_159532))) & ! [_159501, _159678, _159532] : (elem(m_Ack(_159532, _159501), queue(host(_159678))) => ~ leq(host(_159501), host(_159532))) & ! [_159501, _159532] : (~ setIn(_159501, alive) & leq(_159532, _159501) & host(_159532) = host(_159501) => ~ setIn(_159532, alive)) & ! [_159501, _159532] : ((! _159532) = _159501 & host(_159532) = host(_159501) => ~ setIn(_159501, alive) | ~ setIn(_159532, alive)) & ! [_159501] : ((index(status, host(_159501)) = elec_1 | index(status, host(_159501)) = elec_2) & setIn(_159501, alive) => index(elid, host(_159501)) = _159501) & ! [_159501, _159678, _159532] : (setIn(_159532, alive) & elem(m_Down(_159678), queue(host(_159532))) & host(_159678) = host(_159501) => ~ (setIn(_159501, alive) & index(ldr, host(_159501)) = host(_159501) & index(status, host(_159501)) = norm)) & ! [_159501, _159532] : (~ leq(host(_159501), host(_159532)) & setIn(_159501, alive) & setIn(_159532, alive) & index(status, host(_159501)) = elec_2 & index(status, host(_159532)) = elec_2 => leq(index(pendack, host(_159532)), host(_159501))) & ! [_159501, _159678, _159532] : (setIn(_159532, alive) & elem(m_Ack(_159532, _159678), queue(host(_159532))) & host(_159678) = host(_159501) => ~ (setIn(_159501, alive) & index(ldr, host(_159501)) = host(_159501) & index(status, host(_159501)) = norm)) & ! [_159501, _159532] : (~ leq(index(pendack, host(_159532)), host(_159501)) & setIn(_159532, alive) & index(status, host(_159532)) = elec_2 => ~ (setIn(_159501, alive) & index(ldr, host(_159501)) = host(_159501) & index(status, host(_159501)) = norm)) & ! [_159501, _159532] : (setIn(_159501, alive) & setIn(_159532, alive) & index(ldr, host(_159501)) = host(_159501) & index(status, host(_159501)) = norm & index(status, host(_159532)) = norm & index(ldr, host(_159532)) = host(_159532) => _159532 = _159501) & ! [_159501, _159532] : (~ leq(host(_159501), host(_159532)) & setIn(_159501, alive) & setIn(_159532, alive) & index(status, host(_159501)) = elec_2 & index(status, host(_159532)) = elec_2 => ~ leq(index(pendack, host(_159501)), index(pendack, host(_159532)))) & ! [_159501, _159678, _159532] : (~ leq(index(pendack, host(_159532)), host(_159501)) & setIn(_159532, alive) & elem(m_Halt(_159532), queue(host(_159678))) & index(status, host(_159532)) = elec_2 => ~ (setIn(_159501, alive) & index(ldr, host(_159501)) = host(_159501) & index(status, host(_159501)) = norm)) & ! [_159501, _159678, _159532] : (! [_160727] : (~ leq(host(_159532), _160727) & leq(s(zero), _160727) => setIn(_160727, index(down, host(_159532))) | _160727 = host(_159678)) & ~ leq(host(_159532), host(_159501)) & elem(m_Down(_159678), queue(host(_159532))) & index(status, host(_159532)) = elec_1 => ~ (setIn(_159501, alive) & index(ldr, host(_159501)) = host(_159501) & index(status, host(_159501)) = norm)) & queue(host(_159490)) = cons(m_Down(_159493), _159484) => setIn(_159490, alive) => ~ leq(host(_159490), host(_159493)) => ~ (index(ldr, host(_159490)) = host(_159493) & index(status, host(_159490)) = norm | index(status, host(_159490)) = wait & host(_159493) = host(index(elid, host(_159490)))) => ! [_159501] : (~ leq(host(_159490), _159501) & leq(s(zero), _159501) => setIn(_159501, index(down, host(_159490))) | _159501 = host(_159493)) & index(status, host(_159490)) = elec_1 => ~ leq(nbr_proc, host(_159490)) => ! [_159501] : ((! host(_159490)) = host(_159501) => ! [_161166] : ((! s(host(_159490))) = host(_161166) => (! host(_159490)) = host(_161166) => ! [_161210] : (host(_159490) = host(_161210) => ~ leq(s(host(_159490)), host(_159501)) & setIn(_161210, alive) & elem(m_Halt(_161210), queue(host(_161166))) => ~ (setIn(_159501, alive) & index(ldr, host(_159501)) = host(_159501) & index(status, host(_159501)) = norm))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)).
% 220.00/212.56 fof(axiom_46, axiom, ! [_165026, _165029, _165032] : (elem(_165026, cons(_165029, _165032)) <=> _165026 = _165029 | elem(_165026, _165032)), file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax', axiom_46)).
% 220.00/212.56 fof(axiom_61, axiom, ! [_165229, _165232] : (leq(_165229, _165232) & leq(_165232, _165229) <=> _165229 = _165232), file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax', axiom_61)).
% 220.00/212.56 fof(axiom_60, axiom, ! [_165418, _165421] : (leq(_165418, _165421) | leq(_165421, _165418)), file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax', axiom_60)).
% 220.00/212.56 fof(axiom_64, axiom, ! [_165652, _165655] : (leq(_165652, s(_165655)) <=> _165652 = s(_165655) | leq(_165652, _165655)), file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax', axiom_64)).
% 220.00/212.56
% 220.00/212.56 cnf(1, plain, [_41180 = _41225, -(_41225 = _41180)], theory(equality)).
% 220.00/212.56 cnf(2, plain, [-(index(status, host(11 ^ [])) = norm)], clausify(conj)).
% 220.00/212.56 cnf(3, plain, [host(6 ^ []) = host(11 ^ [])], clausify(conj)).
% 220.00/212.56 cnf(4, plain, [-(_41027 = _41027)], theory(equality)).
% 220.00/212.56 cnf(5, plain, [-(elem(_42002, _42133)), elem(_41935, _42068), _41935 = _42002, _42068 = _42133], theory(equality)).
% 220.00/212.56 cnf(6, plain, [-(index(status, host(6 ^ [])) = elec_1)], clausify(conj)).
% 220.00/212.56 cnf(7, plain, [-(10 ^ [_109759, _109754, _109749]), 9 ^ [_109759, _109754, _109749] = host(_109754)], clausify(conj)).
% 220.00/212.56 cnf(8, plain, [-(elem(_65600, cons(_65659, _65717))), _65600 = _65659], clausify(axiom_46)).
% 220.00/212.56 cnf(9, plain, [-(_71774 = _71825), leq(_71774, _71825), leq(_71825, _71774)], clausify(axiom_61)).
% 220.00/212.56 cnf(10, plain, [-(_41459 = _41570), _41459 = _41515, _41515 = _41570], theory(equality)).
% 220.00/212.56 cnf(11, plain, [-(leq(_71464, _71509)), -(leq(_71509, _71464))], clausify(axiom_60)).
% 220.00/212.56 cnf(12, plain, [-(10 ^ [_109759, _109754, _109749]), leq(host(_109759), 9 ^ [_109759, _109754, _109749])], clausify(conj)).
% 220.00/212.56 cnf(13, plain, [leq(s(zero), _109919), -(leq(host(6 ^ []), _109919)), -(setIn(_109919, index(down, host(6 ^ [])))), -(_109919 = host(7 ^ []))], clausify(conj)).
% 220.00/212.56 cnf(14, plain, [index(status, host(_109749)) = norm, index(ldr, host(_109749)) = host(_109749), setIn(_109749, alive), 10 ^ [_109759, _109754, _109749], -(leq(host(_109759), host(_109749))), elem(m_Down(_109754), queue(host(_109759))), index(status, host(_109759)) = elec_1], clausify(conj)).
% 220.00/212.56 cnf(15, plain, [-(10 ^ [_109759, _109754, _109749]), setIn(9 ^ [_109759, _109754, _109749], index(down, host(_109759)))], clausify(conj)).
% 220.00/212.56 cnf(16, plain, [elem(_65600, cons(_65659, _65717)), -(_65600 = _65659), -(elem(_65600, _65717))], clausify(axiom_46)).
% 220.00/212.56 cnf(17, plain, [leq(_72987, s(_73042)), -(_72987 = s(_73042)), -(leq(_72987, _73042))], clausify(axiom_64)).
% 220.00/212.56 cnf(18, plain, [-(queue(host(6 ^ [])) = cons(m_Down(7 ^ []), 4 ^ []))], clausify(conj)).
% 220.00/212.56 cnf(19, plain, [-(setIn(11 ^ [], alive))], clausify(conj)).
% 220.00/212.56 cnf(20, plain, [-(index(ldr, host(11 ^ [])) = host(11 ^ []))], clausify(conj)).
% 220.00/212.56 cnf(21, plain, [-(10 ^ [_109759, _109754, _109749]), -(leq(s(zero), 9 ^ [_109759, _109754, _109749]))], clausify(conj)).
% 220.00/212.56 cnf(22, plain, [leq(s(host(6 ^ [])), host(11 ^ []))], clausify(conj)).
% 220.00/212.56 cnf(23, plain, [-(leq(_71825, _71774)), _71774 = _71825], clausify(axiom_61)).
% 220.00/212.56
% 220.00/212.56 cnf('1',plain,[index(status, host(11 ^ [])) = norm, index(ldr, host(11 ^ [])) = host(11 ^ []), setIn(11 ^ [], alive), 10 ^ [6 ^ [], 7 ^ [], 11 ^ []], -(leq(host(6 ^ []), host(11 ^ []))), elem(m_Down(7 ^ []), queue(host(6 ^ []))), index(status, host(6 ^ [])) = elec_1],start(14,bind([[_109749, _109754, _109759], [11 ^ [], 7 ^ [], 6 ^ []]]))).
% 220.00/212.56 cnf('1.1',plain,[-(index(status, host(11 ^ [])) = norm), norm = index(status, host(11 ^ []))],extension(1,bind([[_41180, _41225], [norm, index(status, host(11 ^ []))]]))).
% 220.00/212.56 cnf('1.1.1',plain,[-(norm = index(status, host(11 ^ []))), norm = index(status, host(11 ^ [])), index(status, host(11 ^ [])) = index(status, host(11 ^ []))],extension(10,bind([[_41459, _41515, _41570], [norm, index(status, host(11 ^ [])), index(status, host(11 ^ []))]]))).
% 220.00/212.56 cnf('1.1.1.1',plain,[-(norm = index(status, host(11 ^ []))), index(status, host(11 ^ [])) = norm],extension(1,bind([[_41180, _41225], [index(status, host(11 ^ [])), norm]]))).
% 220.00/212.56 cnf('1.1.1.1.1',plain,[-(index(status, host(11 ^ [])) = norm)],extension(2)).
% 220.00/212.56 cnf('1.1.1.2',plain,[-(index(status, host(11 ^ [])) = index(status, host(11 ^ [])))],extension(4,bind([[_41027], [index(status, host(11 ^ []))]]))).
% 220.00/212.56 cnf('1.2',plain,[-(index(ldr, host(11 ^ [])) = host(11 ^ [])), host(11 ^ []) = index(ldr, host(11 ^ []))],extension(1,bind([[_41180, _41225], [host(11 ^ []), index(ldr, host(11 ^ []))]]))).
% 220.00/212.56 cnf('1.2.1',plain,[-(host(11 ^ []) = index(ldr, host(11 ^ []))), host(11 ^ []) = index(ldr, host(11 ^ [])), index(ldr, host(11 ^ [])) = index(ldr, host(11 ^ []))],extension(10,bind([[_41459, _41515, _41570], [host(11 ^ []), index(ldr, host(11 ^ [])), index(ldr, host(11 ^ []))]]))).
% 220.00/212.56 cnf('1.2.1.1',plain,[-(host(11 ^ []) = index(ldr, host(11 ^ []))), index(ldr, host(11 ^ [])) = host(11 ^ [])],extension(1,bind([[_41180, _41225], [index(ldr, host(11 ^ [])), host(11 ^ [])]]))).
% 220.00/212.56 cnf('1.2.1.1.1',plain,[-(index(ldr, host(11 ^ [])) = host(11 ^ []))],extension(20)).
% 220.00/212.56 cnf('1.2.1.2',plain,[-(index(ldr, host(11 ^ [])) = index(ldr, host(11 ^ [])))],extension(4,bind([[_41027], [index(ldr, host(11 ^ []))]]))).
% 220.00/212.56 cnf('1.3',plain,[-(setIn(11 ^ [], alive))],extension(19)).
% 220.00/212.56 cnf('1.4',plain,[-(10 ^ [6 ^ [], 7 ^ [], 11 ^ []]), 9 ^ [6 ^ [], 7 ^ [], 11 ^ []] = host(7 ^ [])],extension(7,bind([[_109759, _109749, _109754], [6 ^ [], 11 ^ [], 7 ^ []]]))).
% 220.00/212.56 cnf('1.4.1',plain,[-(9 ^ [6 ^ [], 7 ^ [], 11 ^ []] = host(7 ^ [])), leq(s(zero), 9 ^ [6 ^ [], 7 ^ [], 11 ^ []]), -(leq(host(6 ^ []), 9 ^ [6 ^ [], 7 ^ [], 11 ^ []])), -(setIn(9 ^ [6 ^ [], 7 ^ [], 11 ^ []], index(down, host(6 ^ []))))],extension(13,bind([[_109919], [9 ^ [6 ^ [], 7 ^ [], 11 ^ []]]]))).
% 220.00/212.56 cnf('1.4.1.1',plain,[-(leq(s(zero), 9 ^ [6 ^ [], 7 ^ [], 11 ^ []])), -(10 ^ [6 ^ [], 7 ^ [], 11 ^ []])],extension(21,bind([[_109759, _109754, _109749], [6 ^ [], 7 ^ [], 11 ^ []]]))).
% 220.00/212.56 cnf('1.4.1.1.1',plain,[10 ^ [6 ^ [], 7 ^ [], 11 ^ []]],reduction('1')).
% 220.00/212.56 cnf('1.4.1.2',plain,[leq(host(6 ^ []), 9 ^ [6 ^ [], 7 ^ [], 11 ^ []]), -(10 ^ [6 ^ [], 7 ^ [], 11 ^ []])],extension(12,bind([[_109759, _109754, _109749], [6 ^ [], 7 ^ [], 11 ^ []]]))).
% 220.00/212.56 cnf('1.4.1.2.1',plain,[10 ^ [6 ^ [], 7 ^ [], 11 ^ []]],reduction('1')).
% 220.00/212.56 cnf('1.4.1.3',plain,[setIn(9 ^ [6 ^ [], 7 ^ [], 11 ^ []], index(down, host(6 ^ []))), -(10 ^ [6 ^ [], 7 ^ [], 11 ^ []])],extension(15,bind([[_109759, _109754, _109749], [6 ^ [], 7 ^ [], 11 ^ []]]))).
% 220.00/212.56 cnf('1.4.1.3.1',plain,[10 ^ [6 ^ [], 7 ^ [], 11 ^ []]],reduction('1')).
% 220.00/212.56 cnf('1.5',plain,[leq(host(6 ^ []), host(11 ^ [])), -(host(6 ^ []) = host(11 ^ [])), leq(host(11 ^ []), host(6 ^ []))],extension(9,bind([[_71825, _71774], [host(11 ^ []), host(6 ^ [])]]))).
% 220.00/212.56 cnf('1.5.1',plain,[host(6 ^ []) = host(11 ^ [])],extension(3)).
% 220.00/212.56 cnf('1.5.2',plain,[-(leq(host(11 ^ []), host(6 ^ []))), leq(host(11 ^ []), s(host(6 ^ []))), -(host(11 ^ []) = s(host(6 ^ [])))],extension(17,bind([[_72987, _73042], [host(11 ^ []), host(6 ^ [])]]))).
% 220.00/212.56 cnf('1.5.2.1',plain,[-(leq(host(11 ^ []), s(host(6 ^ [])))), -(leq(s(host(6 ^ [])), host(11 ^ [])))],extension(11,bind([[_71509, _71464], [s(host(6 ^ [])), host(11 ^ [])]]))).
% 220.00/212.56 cnf('1.5.2.1.1',plain,[leq(s(host(6 ^ [])), host(11 ^ []))],extension(22)).
% 220.00/212.56 cnf('1.5.2.2',plain,[host(11 ^ []) = s(host(6 ^ [])), -(leq(s(host(6 ^ [])), host(11 ^ [])))],extension(23,bind([[_71825, _71774], [s(host(6 ^ [])), host(11 ^ [])]]))).
% 220.00/212.56 cnf('1.5.2.2.1',plain,[leq(s(host(6 ^ [])), host(11 ^ []))],extension(22)).
% 220.00/212.56 cnf('1.6',plain,[-(elem(m_Down(7 ^ []), queue(host(6 ^ [])))), elem(m_Down(7 ^ []), cons(m_Down(7 ^ []), queue(host(6 ^ [])))), -(m_Down(7 ^ []) = m_Down(7 ^ []))],extension(16,bind([[_65717, _65600, _65659], [queue(host(6 ^ [])), m_Down(7 ^ []), m_Down(7 ^ [])]]))).
% 220.00/212.56 cnf('1.6.1',plain,[-(elem(m_Down(7 ^ []), cons(m_Down(7 ^ []), queue(host(6 ^ []))))), m_Down(7 ^ []) = m_Down(7 ^ [])],extension(8,bind([[_65717, _65600, _65659], [queue(host(6 ^ [])), m_Down(7 ^ []), m_Down(7 ^ [])]]))).
% 220.00/212.56 cnf('1.6.1.1',plain,[-(m_Down(7 ^ []) = m_Down(7 ^ []))],extension(4,bind([[_41027], [m_Down(7 ^ [])]]))).
% 220.00/212.56 cnf('1.6.2',plain,[m_Down(7 ^ []) = m_Down(7 ^ []), -(elem(m_Down(7 ^ []), queue(host(6 ^ [])))), elem(m_Down(7 ^ []), cons(m_Down(7 ^ []), 4 ^ [])), cons(m_Down(7 ^ []), 4 ^ []) = queue(host(6 ^ []))],extension(5,bind([[_42002, _41935, _42068, _42133], [m_Down(7 ^ []), m_Down(7 ^ []), cons(m_Down(7 ^ []), 4 ^ []), queue(host(6 ^ []))]]))).
% 220.00/212.56 cnf('1.6.2.1',plain,[elem(m_Down(7 ^ []), queue(host(6 ^ [])))],reduction('1')).
% 220.00/212.56 cnf('1.6.2.2',plain,[-(elem(m_Down(7 ^ []), cons(m_Down(7 ^ []), 4 ^ []))), m_Down(7 ^ []) = m_Down(7 ^ [])],extension(8,bind([[_65717, _65600, _65659], [4 ^ [], m_Down(7 ^ []), m_Down(7 ^ [])]]))).
% 220.00/212.56 cnf('1.6.2.2.1',plain,[-(m_Down(7 ^ []) = m_Down(7 ^ []))],extension(4,bind([[_41027], [m_Down(7 ^ [])]]))).
% 220.00/212.56 cnf('1.6.2.3',plain,[-(cons(m_Down(7 ^ []), 4 ^ []) = queue(host(6 ^ []))), queue(host(6 ^ [])) = cons(m_Down(7 ^ []), 4 ^ [])],extension(1,bind([[_41180, _41225], [queue(host(6 ^ [])), cons(m_Down(7 ^ []), 4 ^ [])]]))).
% 220.00/212.56 cnf('1.6.2.3.1',plain,[-(queue(host(6 ^ [])) = cons(m_Down(7 ^ []), 4 ^ []))],extension(18)).
% 220.00/212.56 cnf('1.7',plain,[-(index(status, host(6 ^ [])) = elec_1), elec_1 = index(status, host(6 ^ []))],extension(1,bind([[_41180, _41225], [elec_1, index(status, host(6 ^ []))]]))).
% 220.00/212.56 cnf('1.7.1',plain,[-(elec_1 = index(status, host(6 ^ []))), elec_1 = index(status, host(6 ^ [])), index(status, host(6 ^ [])) = index(status, host(6 ^ []))],extension(10,bind([[_41459, _41515, _41570], [elec_1, index(status, host(6 ^ [])), index(status, host(6 ^ []))]]))).
% 220.00/212.56 cnf('1.7.1.1',plain,[-(elec_1 = index(status, host(6 ^ []))), index(status, host(6 ^ [])) = elec_1],extension(1,bind([[_41180, _41225], [index(status, host(6 ^ [])), elec_1]]))).
% 220.00/212.56 cnf('1.7.1.1.1',plain,[-(index(status, host(6 ^ [])) = elec_1)],extension(6)).
% 220.00/212.56 cnf('1.7.1.2',plain,[-(index(status, host(6 ^ [])) = index(status, host(6 ^ [])))],extension(4,bind([[_41027], [index(status, host(6 ^ []))]]))).
% 220.00/212.56 %-----------------------------------------------------
% 220.00/212.57
% 220.00/212.57 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------