TSTP Solution File: SEU341+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 12:02:07 EDT 2022
% Result : Theorem 0.40s 1.39s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 10:49:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40
% 0.40/1.40 %-----------------------------------------------------
% 0.40/1.40 fof(t5_connsp_2, conjecture, ! [_74185] : (~ empty_carrier(_74185) & topological_space(_74185) & top_str(_74185) => ! [_74216] : (element(_74216, powerset(the_carrier(_74185))) => ! [_74242] : (element(_74242, the_carrier(_74185)) => open_subset(_74216, _74185) & in(_74242, _74216) => point_neighbourhood(_74216, _74185, _74242)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_connsp_2)).
% 0.40/1.40 fof(d1_connsp_2, axiom, ! [_74745] : (~ empty_carrier(_74745) & topological_space(_74745) & top_str(_74745) => ! [_74776] : (element(_74776, the_carrier(_74745)) => ! [_74798] : (element(_74798, powerset(the_carrier(_74745))) => (point_neighbourhood(_74798, _74745, _74776) <=> in(_74776, interior(_74745, _74798)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_connsp_2)).
% 0.40/1.40 fof(t55_tops_1, axiom, ! [_75146] : (topological_space(_75146) & top_str(_75146) => ! [_75168] : (top_str(_75168) => ! [_75183] : (element(_75183, powerset(the_carrier(_75146))) => ! [_75209] : (element(_75209, powerset(the_carrier(_75168))) => (open_subset(_75209, _75168) => interior(_75168, _75209) = _75209) & (interior(_75146, _75183) = _75183 => open_subset(_75183, _75146)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t55_tops_1)).
% 0.40/1.40
% 0.40/1.40 cnf(1, plain, [empty_carrier(8 ^ [])], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(2, plain, [-(topological_space(8 ^ []))], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(3, plain, [-(top_str(8 ^ []))], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(4, plain, [-(element(9 ^ [], powerset(the_carrier(8 ^ []))))], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(5, plain, [-(element(10 ^ [], the_carrier(8 ^ [])))], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(6, plain, [-(open_subset(9 ^ [], 8 ^ []))], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(7, plain, [-(in(10 ^ [], 9 ^ []))], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(8, plain, [point_neighbourhood(9 ^ [], 8 ^ [], 10 ^ [])], clausify(t5_connsp_2)).
% 0.40/1.40 cnf(9, plain, [-(_22444 = _22444)], theory(equality)).
% 0.40/1.40 cnf(10, plain, [_22597 = _22642, -(_22642 = _22597)], theory(equality)).
% 0.40/1.40 cnf(11, plain, [-(in(_24701, _24832)), in(_24634, _24767), _24634 = _24701, _24767 = _24832], theory(equality)).
% 0.40/1.40 cnf(12, plain, [top_str(_39858), topological_space(_39858), -(empty_carrier(_39858)), element(_40107, the_carrier(_39858)), element(_40253, powerset(the_carrier(_39858))), -(point_neighbourhood(_40253, _39858, _40107)), in(_40107, interior(_39858, _40253))], clausify(d1_connsp_2)).
% 0.40/1.40 cnf(13, plain, [top_str(_47541), topological_space(_47541), top_str(_47740), element(_47875, powerset(the_carrier(_47541))), element(_48057, powerset(the_carrier(_47740))), open_subset(_48057, _47740), -(interior(_47740, _48057) = _48057)], clausify(t55_tops_1)).
% 0.40/1.40
% 0.40/1.40 cnf('1',plain,[empty_carrier(8 ^ [])],start(1)).
% 0.40/1.40 cnf('1.1',plain,[-(empty_carrier(8 ^ [])), top_str(8 ^ []), topological_space(8 ^ []), element(10 ^ [], the_carrier(8 ^ [])), element(9 ^ [], powerset(the_carrier(8 ^ []))), -(point_neighbourhood(9 ^ [], 8 ^ [], 10 ^ [])), in(10 ^ [], interior(8 ^ [], 9 ^ []))],extension(12,bind([[_40107, _39858, _40253], [10 ^ [], 8 ^ [], 9 ^ []]]))).
% 0.40/1.40 cnf('1.1.1',plain,[-(top_str(8 ^ []))],extension(3)).
% 0.40/1.40 cnf('1.1.2',plain,[-(topological_space(8 ^ []))],extension(2)).
% 0.40/1.40 cnf('1.1.3',plain,[-(element(10 ^ [], the_carrier(8 ^ [])))],extension(5)).
% 0.40/1.40 cnf('1.1.4',plain,[-(element(9 ^ [], powerset(the_carrier(8 ^ []))))],extension(4)).
% 0.40/1.40 cnf('1.1.5',plain,[point_neighbourhood(9 ^ [], 8 ^ [], 10 ^ [])],extension(8)).
% 0.40/1.40 cnf('1.1.6',plain,[-(in(10 ^ [], interior(8 ^ [], 9 ^ []))), in(10 ^ [], 9 ^ []), 10 ^ [] = 10 ^ [], 9 ^ [] = interior(8 ^ [], 9 ^ [])],extension(11,bind([[_24634, _24701, _24767, _24832], [10 ^ [], 10 ^ [], 9 ^ [], interior(8 ^ [], 9 ^ [])]]))).
% 0.40/1.40 cnf('1.1.6.1',plain,[-(in(10 ^ [], 9 ^ []))],extension(7)).
% 0.40/1.40 cnf('1.1.6.2',plain,[-(10 ^ [] = 10 ^ [])],extension(9,bind([[_22444], [10 ^ []]]))).
% 0.40/1.40 cnf('1.1.6.3',plain,[-(9 ^ [] = interior(8 ^ [], 9 ^ [])), interior(8 ^ [], 9 ^ []) = 9 ^ []],extension(10,bind([[_22597, _22642], [interior(8 ^ [], 9 ^ []), 9 ^ []]]))).
% 0.40/1.40 cnf('1.1.6.3.1',plain,[-(interior(8 ^ [], 9 ^ []) = 9 ^ []), top_str(8 ^ []), topological_space(8 ^ []), top_str(8 ^ []), element(9 ^ [], powerset(the_carrier(8 ^ []))), element(9 ^ [], powerset(the_carrier(8 ^ []))), open_subset(9 ^ [], 8 ^ [])],extension(13,bind([[_47875, _47541, _48057, _47740], [9 ^ [], 8 ^ [], 9 ^ [], 8 ^ []]]))).
% 0.40/1.40 cnf('1.1.6.3.1.1',plain,[-(top_str(8 ^ []))],extension(3)).
% 0.40/1.40 cnf('1.1.6.3.1.2',plain,[-(topological_space(8 ^ []))],extension(2)).
% 0.40/1.40 cnf('1.1.6.3.1.3',plain,[-(top_str(8 ^ []))],extension(3)).
% 0.40/1.40 cnf('1.1.6.3.1.4',plain,[-(element(9 ^ [], powerset(the_carrier(8 ^ []))))],extension(4)).
% 0.40/1.40 cnf('1.1.6.3.1.5',plain,[-(element(9 ^ [], powerset(the_carrier(8 ^ []))))],extension(4)).
% 0.40/1.40 cnf('1.1.6.3.1.6',plain,[-(open_subset(9 ^ [], 8 ^ []))],extension(6)).
% 0.40/1.40 %-----------------------------------------------------
% 0.40/1.41
% 0.40/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------