TSTP Solution File: SWV381+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV381+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 19:50:40 EDT 2022
% Result : Theorem 0.95s 1.41s
% Output : Proof 0.95s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV381+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 18:56:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.95/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.95/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.95/1.42
% 0.95/1.42 %-----------------------------------------------------
% 0.95/1.42 fof(l17_co, conjecture, ! [_120842, _120845, _120848] : (phi(findmin_cpq_eff(triple(_120842, _120845, _120848))) => issmallestelement_pq(i(triple(_120842, _120845, _120848)), findmin_cpq_res(triple(_120842, _120845, _120848)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l17_co)).
% 0.95/1.42 fof(totality, axiom, ! [_121188, _121191] : (less_than(_121188, _121191) | less_than(_121191, _121188)), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax', totality)).
% 0.95/1.42 fof(stricly_smaller_definition, axiom, ! [_121338, _121341] : (strictly_less_than(_121338, _121341) <=> less_than(_121338, _121341) & ~ less_than(_121341, _121338)), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax', stricly_smaller_definition)).
% 0.95/1.42 fof(ax10, axiom, ! [_121525, _121528] : (issmallestelement_pq(_121525, _121528) <=> ! [_121546] : (contains_pq(_121525, _121546) => less_than(_121528, _121546))), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+1.ax', ax10)).
% 0.95/1.42 fof(l17_l18, lemma, ! [_121767, _121770, _121773] : (? [_121781] : (contains_cpq(triple(_121767, _121770, _121773), _121781) & strictly_less_than(_121781, findmin_cpq_res(triple(_121767, _121770, _121773)))) => ~ phi(findmin_cpq_eff(triple(_121767, _121770, _121773)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l17_l18)).
% 0.95/1.42 fof(l17_li56, lemma, ! [_122070, _122073, _122076, _122079] : (contains_cpq(triple(_122070, _122073, _122076), _122079) <=> contains_pq(i(triple(_122070, _122073, _122076)), _122079)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l17_li56)).
% 0.95/1.42
% 0.95/1.42 cnf(1, plain, [-(phi(findmin_cpq_eff(triple(5 ^ [], 6 ^ [], 7 ^ []))))], clausify(l17_co)).
% 0.95/1.42 cnf(2, plain, [issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))], clausify(l17_co)).
% 0.95/1.42 cnf(3, plain, [-(triple(_55865, _56034, _56199) = triple(_55950, _56117, _56280)), _55865 = _55950, _56034 = _56117, _56199 = _56280], theory(equality)).
% 0.95/1.42 cnf(4, plain, [-(_33780 = _33780)], theory(equality)).
% 0.95/1.42 cnf(5, plain, [-(contains_cpq(_35084, _35215)), contains_cpq(_35017, _35150), _35017 = _35084, _35150 = _35215], theory(equality)).
% 0.95/1.42 cnf(6, plain, [-(less_than(_38238, _38369)), less_than(_38171, _38304), _38171 = _38238, _38304 = _38369], theory(equality)).
% 0.95/1.42 cnf(7, plain, [-(less_than(_58332, _58377)), -(less_than(_58377, _58332))], clausify(totality)).
% 0.95/1.42 cnf(8, plain, [-(strictly_less_than(_58816, _58869)), less_than(_58816, _58869), -(less_than(_58869, _58816))], clausify(stricly_smaller_definition)).
% 0.95/1.42 cnf(9, plain, [-(issmallestelement_pq(_60543, _60599)), -(contains_pq(_60543, 1 ^ [_60599, _60543]))], clausify(ax10)).
% 0.95/1.42 cnf(10, plain, [-(issmallestelement_pq(_60543, _60599)), less_than(_60599, 1 ^ [_60599, _60543])], clausify(ax10)).
% 0.95/1.42 cnf(11, plain, [phi(findmin_cpq_eff(triple(_89227, _89305, _89382))), contains_cpq(triple(_89227, _89305, _89382), _89469), strictly_less_than(_89469, findmin_cpq_res(triple(_89227, _89305, _89382)))], clausify(l17_l18)).
% 0.95/1.42 cnf(12, plain, [-(contains_cpq(triple(_88578, _88643, _88707), _88770)), contains_pq(i(triple(_88578, _88643, _88707)), _88770)], clausify(l17_li56)).
% 0.95/1.42
% 0.95/1.42 cnf('1',plain,[phi(findmin_cpq_eff(triple(5 ^ [], 6 ^ [], 7 ^ []))), contains_cpq(triple(5 ^ [], 6 ^ [], 7 ^ []), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]), strictly_less_than(1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))], findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],start(11,bind([[_89469, _89227, _89305, _89382], [1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))], 5 ^ [], 6 ^ [], 7 ^ []]]))).
% 0.95/1.42 cnf('1.1',plain,[-(phi(findmin_cpq_eff(triple(5 ^ [], 6 ^ [], 7 ^ []))))],extension(1)).
% 0.95/1.42 cnf('1.2',plain,[-(contains_cpq(triple(5 ^ [], 6 ^ [], 7 ^ []), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))])), contains_cpq(triple(5 ^ [], 6 ^ [], 7 ^ []), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]), triple(5 ^ [], 6 ^ [], 7 ^ []) = triple(5 ^ [], 6 ^ [], 7 ^ []), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))] = 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]],extension(5,bind([[_35017, _35084, _35150, _35215], [triple(5 ^ [], 6 ^ [], 7 ^ []), triple(5 ^ [], 6 ^ [], 7 ^ []), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))], 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]]))).
% 0.95/1.42 cnf('1.2.1',plain,[-(contains_cpq(triple(5 ^ [], 6 ^ [], 7 ^ []), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))])), contains_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))])],extension(12,bind([[_88578, _88643, _88707, _88770], [5 ^ [], 6 ^ [], 7 ^ [], 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]]))).
% 0.95/1.42 cnf('1.2.1.1',plain,[-(contains_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))])), -(issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))))],extension(9,bind([[_60543, _60599], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.95/1.42 cnf('1.2.1.1.1',plain,[issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(2)).
% 0.95/1.42 cnf('1.2.2',plain,[-(triple(5 ^ [], 6 ^ [], 7 ^ []) = triple(5 ^ [], 6 ^ [], 7 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(3,bind([[_55865, _55950, _56034, _56117, _56199, _56280], [5 ^ [], 5 ^ [], 6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.95/1.42 cnf('1.2.2.1',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_33780], [5 ^ []]]))).
% 0.95/1.42 cnf('1.2.2.2',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_33780], [6 ^ []]]))).
% 0.95/1.42 cnf('1.2.2.3',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_33780], [7 ^ []]]))).
% 0.95/1.42 cnf('1.2.3',plain,[-(1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))] = 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))])],extension(4,bind([[_33780], [1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]]))).
% 0.95/1.42 cnf('1.3',plain,[-(strictly_less_than(1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))], findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), less_than(1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))], findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), -(less_than(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]))],extension(8,bind([[_58869, _58816], [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]]))).
% 0.95/1.42 cnf('1.3.1',plain,[-(less_than(1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))], findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), -(less_than(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]))],extension(7,bind([[_58377, _58332], [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]]))).
% 0.95/1.42 cnf('1.3.1.1',plain,[less_than(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]), -(issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))))],extension(10,bind([[_60543, _60599], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.95/1.42 cnf('1.3.1.1.1',plain,[issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(2)).
% 0.95/1.42 cnf('1.3.2',plain,[less_than(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]), -(less_than(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))] = 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]],extension(6,bind([[_38171, _38238, _38304, _38369], [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))], 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]]))).
% 0.95/1.42 cnf('1.3.2.1',plain,[less_than(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]), -(issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))))],extension(10,bind([[_60543, _60599], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.95/1.42 cnf('1.3.2.1.1',plain,[issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(2)).
% 0.95/1.42 cnf('1.3.2.2',plain,[-(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(4,bind([[_33780], [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.95/1.42 cnf('1.3.2.3',plain,[-(1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))] = 1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))])],extension(4,bind([[_33780], [1 ^ [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]]))).
% 0.95/1.42 %-----------------------------------------------------
% 0.95/1.43
% 0.95/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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