TSTP Solution File: SWV417+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV417+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 19:50:48 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV417+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n009.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 : Wed Jun 15 09:32:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(co4, conjecture, ! [_118291, _118294, _118297] : (pi_find_min(triple(_118291, _118294, _118297)) => phi(findmin_cpq_eff(triple(_118291, _118294, _118297))) => ? [_118343] : (pi_sharp_find_min(i(triple(_118291, _118294, _118297)), _118343) & findmin_cpq_res(triple(_118291, _118294, _118297)) = findmin_pq_res(i(triple(_118291, _118294, _118297)), _118343))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co4)).
% 0.34/1.42 fof(ax14, axiom, ! [_118812, _118815] : (contains_pq(_118812, _118815) & issmallestelement_pq(_118812, _118815) => findmin_pq_res(_118812, _118815) = _118815), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax14)).
% 0.34/1.42 fof(main4_l7, lemma, ! [_119019, _119022, _119025] : (phi(findmin_cpq_eff(triple(_119019, _119022, _119025))) => pi_sharp_find_min(i(triple(_119019, _119022, _119025)), findmin_cpq_res(triple(_119019, _119022, _119025)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', main4_l7)).
% 0.34/1.42 fof(ax58, axiom, ! [_119271, _119274] : (pi_sharp_find_min(_119271, _119274) <=> contains_pq(_119271, _119274) & issmallestelement_pq(_119271, _119274)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax58)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [-(phi(findmin_cpq_eff(triple(5 ^ [], 6 ^ [], 7 ^ []))))], clausify(co4)).
% 0.34/1.42 cnf(2, plain, [pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), _103216), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_pq_res(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), _103216)], clausify(co4)).
% 0.34/1.42 cnf(3, plain, [_45338 = _45387, -(findmin_cpq_res(_45338) = findmin_cpq_res(_45387))], theory(equality)).
% 0.34/1.42 cnf(4, plain, [_47244 = _47293, -(i(_47244) = i(_47293))], theory(equality)).
% 0.34/1.42 cnf(5, plain, [-(_33634 = _33634)], theory(equality)).
% 0.34/1.42 cnf(6, plain, [_33787 = _33832, -(_33832 = _33787)], theory(equality)).
% 0.34/1.42 cnf(7, plain, [-(pi_sharp_find_min(_41681, _41812)), pi_sharp_find_min(_41614, _41747), _41614 = _41681, _41747 = _41812], theory(equality)).
% 0.34/1.42 cnf(8, plain, [-(findmin_pq_res(_62280, _62334) = _62334), contains_pq(_62280, _62334), issmallestelement_pq(_62280, _62334)], clausify(ax14)).
% 0.34/1.42 cnf(9, plain, [phi(findmin_cpq_eff(triple(_88422, _88489, _88555))), -(pi_sharp_find_min(i(triple(_88422, _88489, _88555)), findmin_cpq_res(triple(_88422, _88489, _88555))))], clausify(main4_l7)).
% 0.34/1.42 cnf(10, plain, [pi_sharp_find_min(_86515, _86566), -(contains_pq(_86515, _86566))], clausify(ax58)).
% 0.34/1.42 cnf(11, plain, [pi_sharp_find_min(_86515, _86566), -(issmallestelement_pq(_86515, _86566))], clausify(ax58)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_pq_res(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],start(2,bind([[_103216], [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.1',plain,[-(pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), i(triple(5 ^ [], 6 ^ [], 7 ^ [])) = i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))],extension(7,bind([[_41614, _41681, _41747, _41812], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), i(triple(5 ^ [], 6 ^ [], 7 ^ [])) = i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))],extension(7,bind([[_41614, _41681, _41747, _41812], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.1.1.1',plain,[-(pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), phi(findmin_cpq_eff(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(9,bind([[_88422, _88489, _88555], [5 ^ [], 6 ^ [], 7 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.1.1',plain,[-(phi(findmin_cpq_eff(triple(5 ^ [], 6 ^ [], 7 ^ []))))],extension(1)).
% 0.34/1.42 cnf('1.1.1.2',plain,[-(i(triple(5 ^ [], 6 ^ [], 7 ^ [])) = i(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(5,bind([[_33634], [i(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.1.1.3',plain,[-(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(5,bind([[_33634], [findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.1.2',plain,[-(i(triple(5 ^ [], 6 ^ [], 7 ^ [])) = i(triple(5 ^ [], 6 ^ [], 7 ^ []))), triple(5 ^ [], 6 ^ [], 7 ^ []) = triple(5 ^ [], 6 ^ [], 7 ^ [])],extension(4,bind([[_47244, _47293], [triple(5 ^ [], 6 ^ [], 7 ^ []), triple(5 ^ [], 6 ^ [], 7 ^ [])]]))).
% 0.34/1.42 cnf('1.1.2.1',plain,[-(triple(5 ^ [], 6 ^ [], 7 ^ []) = triple(5 ^ [], 6 ^ [], 7 ^ []))],extension(5,bind([[_33634], [triple(5 ^ [], 6 ^ [], 7 ^ [])]]))).
% 0.34/1.42 cnf('1.1.3',plain,[-(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), triple(5 ^ [], 6 ^ [], 7 ^ []) = triple(5 ^ [], 6 ^ [], 7 ^ [])],extension(3,bind([[_45338, _45387], [triple(5 ^ [], 6 ^ [], 7 ^ []), triple(5 ^ [], 6 ^ [], 7 ^ [])]]))).
% 0.34/1.42 cnf('1.1.3.1',plain,[-(triple(5 ^ [], 6 ^ [], 7 ^ []) = triple(5 ^ [], 6 ^ [], 7 ^ []))],extension(5,bind([[_33634], [triple(5 ^ [], 6 ^ [], 7 ^ [])]]))).
% 0.34/1.42 cnf('1.2',plain,[-(findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])) = findmin_pq_res(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), findmin_pq_res(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))],extension(6,bind([[_33787, _33832], [findmin_pq_res(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.2.1',plain,[-(findmin_pq_res(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))) = findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), contains_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))), issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(8,bind([[_62280, _62334], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.2.1.1',plain,[-(contains_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(10,bind([[_86515, _86566], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.2.1.1.1',plain,[-(pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))))],lemmata('1')).
% 0.34/1.42 cnf('1.2.1.2',plain,[-(issmallestelement_pq(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))), pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ [])))],extension(11,bind([[_86515, _86566], [i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))]]))).
% 0.34/1.42 cnf('1.2.1.2.1',plain,[-(pi_sharp_find_min(i(triple(5 ^ [], 6 ^ [], 7 ^ [])), findmin_cpq_res(triple(5 ^ [], 6 ^ [], 7 ^ []))))],lemmata('1')).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.43
% 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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