TSTP Solution File: SEU317+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU317+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 : Tue Jul 19 12:01:57 EDT 2022
% Result : Theorem 0.75s 1.38s
% Output : Proof 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU317+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.31 % Computer : n011.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sat Jun 18 19:08:23 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.75/1.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/1.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/1.40
% 0.75/1.40 %-----------------------------------------------------
% 0.75/1.40 fof(t48_pre_topc, conjecture, ! [_69473] : (top_str(_69473) => ! [_69488] : (element(_69488, powerset(the_carrier(_69473))) => subset(_69488, topstr_closure(_69473, _69488)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_pre_topc)).
% 0.75/1.40 fof(d3_tarski, axiom, ! [_69800, _69803] : (subset(_69800, _69803) <=> ! [_69821] : (in(_69821, _69800) => in(_69821, _69803))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.75/1.40 fof(t2_subset, axiom, ! [_70052, _70055] : (element(_70052, _70055) => empty(_70055) | in(_70052, _70055)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 0.75/1.40 fof(t45_pre_topc, axiom, ! [_70223] : (top_str(_70223) => ! [_70238] : (element(_70238, powerset(the_carrier(_70223))) => ! [_70264] : (in(_70264, the_carrier(_70223)) => (in(_70264, topstr_closure(_70223, _70238)) <=> ! [_70303] : (element(_70303, powerset(the_carrier(_70223))) => closed_subset(_70303, _70223) & subset(_70238, _70303) => in(_70264, _70303)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t45_pre_topc)).
% 0.75/1.40 fof(t4_subset, axiom, ! [_70683, _70686, _70689] : (in(_70683, _70686) & element(_70686, powerset(_70689)) => element(_70683, _70689)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_subset)).
% 0.75/1.40 fof(t5_subset, axiom, ! [_70877, _70880, _70883] : ~ (in(_70877, _70880) & element(_70880, powerset(_70883)) & empty(_70883)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_subset)).
% 0.75/1.40
% 0.75/1.40 cnf(1, plain, [-(top_str(9 ^ []))], clausify(t48_pre_topc)).
% 0.75/1.40 cnf(2, plain, [-(element(10 ^ [], powerset(the_carrier(9 ^ []))))], clausify(t48_pre_topc)).
% 0.75/1.40 cnf(3, plain, [subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ []))], clausify(t48_pre_topc)).
% 0.75/1.40 cnf(4, plain, [-(_19590 = _19590)], theory(equality)).
% 0.75/1.40 cnf(5, plain, [-(in(_22142, _22273)), in(_22075, _22208), _22075 = _22142, _22208 = _22273], theory(equality)).
% 0.75/1.40 cnf(6, plain, [-(subset(_35276, _35332)), -(in(1 ^ [_35332, _35276], _35276))], clausify(d3_tarski)).
% 0.75/1.40 cnf(7, plain, [-(subset(_35276, _35332)), in(1 ^ [_35332, _35276], _35332)], clausify(d3_tarski)).
% 0.75/1.40 cnf(8, plain, [subset(_35276, _35332), in(_35446, _35276), -(in(_35446, _35332))], clausify(d3_tarski)).
% 0.75/1.40 cnf(9, plain, [element(_39911, _39961), -(empty(_39961)), -(in(_39911, _39961))], clausify(t2_subset)).
% 0.75/1.40 cnf(10, plain, [top_str(_40614), element(_40755, powerset(the_carrier(_40614))), in(_40943, the_carrier(_40614)), -(in(_40943, topstr_closure(_40614, _40755))), -(subset(_40755, 8 ^ [_40943, _40755, _40614]))], clausify(t45_pre_topc)).
% 0.75/1.40 cnf(11, plain, [top_str(_40614), element(_40755, powerset(the_carrier(_40614))), in(_40943, the_carrier(_40614)), -(in(_40943, topstr_closure(_40614, _40755))), in(_40943, 8 ^ [_40943, _40755, _40614])], clausify(t45_pre_topc)).
% 0.75/1.40 cnf(12, plain, [-(element(_41743, _41858)), in(_41743, _41801), element(_41801, powerset(_41858))], clausify(t4_subset)).
% 0.75/1.40 cnf(13, plain, [in(_42232, _42291), element(_42291, powerset(_42349)), empty(_42349)], clausify(t5_subset)).
% 0.75/1.40
% 0.75/1.40 cnf('1',plain,[subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ []))],start(3)).
% 0.75/1.40 cnf('1.1',plain,[-(subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ []))), in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], topstr_closure(9 ^ [], 10 ^ []))],extension(7,bind([[_35276, _35332], [10 ^ [], topstr_closure(9 ^ [], 10 ^ [])]]))).
% 0.75/1.40 cnf('1.1.1',plain,[-(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], topstr_closure(9 ^ [], 10 ^ []))), top_str(9 ^ []), element(10 ^ [], powerset(the_carrier(9 ^ []))), in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], the_carrier(9 ^ [])), -(subset(10 ^ [], 8 ^ [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], 9 ^ []]))],extension(10,bind([[_40943, _40755, _40614], [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], 9 ^ []]]))).
% 0.75/1.40 cnf('1.1.1.1',plain,[-(top_str(9 ^ []))],extension(1)).
% 0.75/1.40 cnf('1.1.1.2',plain,[-(element(10 ^ [], powerset(the_carrier(9 ^ []))))],extension(2)).
% 0.75/1.40 cnf('1.1.1.3',plain,[-(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], the_carrier(9 ^ []))), element(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], the_carrier(9 ^ [])), -(empty(the_carrier(9 ^ [])))],extension(9,bind([[_39911, _39961], [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], the_carrier(9 ^ [])]]))).
% 0.75/1.40 cnf('1.1.1.3.1',plain,[-(element(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], the_carrier(9 ^ []))), in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ []), element(10 ^ [], powerset(the_carrier(9 ^ [])))],extension(12,bind([[_41743, _41801, _41858], [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], the_carrier(9 ^ [])]]))).
% 0.75/1.40 cnf('1.1.1.3.1.1',plain,[-(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [])), -(subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ [])))],extension(6,bind([[_35276, _35332], [10 ^ [], topstr_closure(9 ^ [], 10 ^ [])]]))).
% 0.75/1.40 cnf('1.1.1.3.1.1.1',plain,[subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ []))],extension(3)).
% 0.75/1.40 cnf('1.1.1.3.1.2',plain,[-(element(10 ^ [], powerset(the_carrier(9 ^ []))))],extension(2)).
% 0.75/1.40 cnf('1.1.1.3.2',plain,[empty(the_carrier(9 ^ [])), in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ []), element(10 ^ [], powerset(the_carrier(9 ^ [])))],extension(13,bind([[_42232, _42291, _42349], [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], the_carrier(9 ^ [])]]))).
% 0.75/1.40 cnf('1.1.1.3.2.1',plain,[-(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [])), -(subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ [])))],extension(6,bind([[_35276, _35332], [10 ^ [], topstr_closure(9 ^ [], 10 ^ [])]]))).
% 0.75/1.40 cnf('1.1.1.3.2.1.1',plain,[subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ []))],extension(3)).
% 0.75/1.40 cnf('1.1.1.3.2.2',plain,[-(element(10 ^ [], powerset(the_carrier(9 ^ []))))],extension(2)).
% 0.75/1.40 cnf('1.1.1.4',plain,[subset(10 ^ [], 8 ^ [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], 9 ^ []]), in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ []), -(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 8 ^ [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], 9 ^ []]))],extension(8,bind([[_35276, _35446, _35332], [10 ^ [], 1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 8 ^ [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], 9 ^ []]]]))).
% 0.75/1.40 cnf('1.1.1.4.1',plain,[-(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [])), in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ []), 1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []] = 1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [] = 10 ^ []],extension(5,bind([[_22075, _22142, _22208, _22273], [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], 10 ^ []]]))).
% 0.75/1.40 cnf('1.1.1.4.1.1',plain,[-(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [])), -(subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ [])))],extension(6,bind([[_35276, _35332], [10 ^ [], topstr_closure(9 ^ [], 10 ^ [])]]))).
% 0.75/1.40 cnf('1.1.1.4.1.1.1',plain,[subset(10 ^ [], topstr_closure(9 ^ [], 10 ^ []))],extension(3)).
% 0.75/1.40 cnf('1.1.1.4.1.2',plain,[-(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []] = 1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []])],extension(4,bind([[_19590], [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []]]]))).
% 0.75/1.40 cnf('1.1.1.4.1.3',plain,[-(10 ^ [] = 10 ^ [])],extension(4,bind([[_19590], [10 ^ []]]))).
% 0.75/1.40 cnf('1.1.1.4.2',plain,[in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 8 ^ [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 10 ^ [], 9 ^ []]), top_str(9 ^ []), element(10 ^ [], powerset(the_carrier(9 ^ []))), in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], the_carrier(9 ^ [])), -(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], topstr_closure(9 ^ [], 10 ^ [])))],extension(11,bind([[_40943, _40614, _40755], [1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], 9 ^ [], 10 ^ []]]))).
% 0.75/1.40 cnf('1.1.1.4.2.1',plain,[-(top_str(9 ^ []))],extension(1)).
% 0.75/1.40 cnf('1.1.1.4.2.2',plain,[-(element(10 ^ [], powerset(the_carrier(9 ^ []))))],extension(2)).
% 0.75/1.40 cnf('1.1.1.4.2.3',plain,[-(in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], the_carrier(9 ^ [])))],lemmata('1.1.1')).
% 0.75/1.40 cnf('1.1.1.4.2.4',plain,[in(1 ^ [topstr_closure(9 ^ [], 10 ^ []), 10 ^ []], topstr_closure(9 ^ [], 10 ^ []))],reduction('1.1')).
% 0.75/1.40 %-----------------------------------------------------
% 0.75/1.40
% 0.75/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------