TSTP Solution File: SEU314+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 12:01:55 EDT 2022
% Result : Theorem 33.67s 33.51s
% Output : Proof 33.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 06:04:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 33.67/33.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.67/33.51 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.67/33.52
% 33.67/33.52 %-----------------------------------------------------
% 33.67/33.52 fof(s1_xboole_0__e1_40__pre_topc__1, conjecture, ! [_74985, _74988] : (topological_space(_74985) & top_str(_74985) & element(_74988, powerset(the_carrier(_74985))) => ? [_75028] : ! [_75036] : (in(_75036, _75028) <=> in(_75036, powerset(the_carrier(_74985))) & ? [_75072] : (element(_75072, powerset(the_carrier(_74985))) & _75072 = _75036 & closed_subset(_75072, _74985) & subset(_74988, _75036)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 fof(s1_tarski__e1_40__pre_topc__1, axiom, ! [_75530, _75533] : (topological_space(_75530) & top_str(_75530) & element(_75533, powerset(the_carrier(_75530))) => ! [_75573, _75576, _75579] : (_75573 = _75576 & ? [_75593] : (element(_75593, powerset(the_carrier(_75530))) & _75593 = _75576 & closed_subset(_75593, _75530) & subset(_75533, _75576)) & _75573 = _75579 & ? [_75651] : (element(_75651, powerset(the_carrier(_75530))) & _75651 = _75579 & closed_subset(_75651, _75530) & subset(_75533, _75579)) => _75576 = _75579) => ? [_75573] : ! [_75576] : (in(_75576, _75573) <=> ? [_75579] : (in(_75579, powerset(the_carrier(_75530))) & _75579 = _75576 & ? [_75764] : (element(_75764, powerset(the_carrier(_75530))) & _75764 = _75576 & closed_subset(_75764, _75530) & subset(_75533, _75576))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52
% 33.67/33.52 cnf(1, plain, [-(32 ^ [_46194]), in(29 ^ [_46194], _46194)], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(2, plain, [-(32 ^ [_46194]), -(subset(28 ^ [], 29 ^ [_46194]))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(3, plain, [-(32 ^ [_46194]), -(closed_subset(31 ^ [_46194], 27 ^ []))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(4, plain, [-(32 ^ [_46194]), -(31 ^ [_46194] = 29 ^ [_46194])], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(5, plain, [-(32 ^ [_46194]), -(element(31 ^ [_46194], powerset(the_carrier(27 ^ []))))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(6, plain, [-(32 ^ [_46194]), -(in(29 ^ [_46194], powerset(the_carrier(27 ^ []))))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(7, plain, [-(30 ^ [_46194]), in(29 ^ [_46194], powerset(the_carrier(27 ^ []))), element(_46310, powerset(the_carrier(27 ^ []))), _46310 = 29 ^ [_46194], closed_subset(_46310, 27 ^ []), subset(28 ^ [], 29 ^ [_46194])], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(8, plain, [-(30 ^ [_46194]), -(in(29 ^ [_46194], _46194))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(9, plain, [-(25 ^ [_45332, _36029, _35807]), -(subset(_36029, _45332))], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(10, plain, [-(25 ^ [_45332, _36029, _35807]), -(closed_subset(24 ^ [_45332, _36029, _35807], _35807))], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(11, plain, [-(25 ^ [_45332, _36029, _35807]), -(24 ^ [_45332, _36029, _35807] = _45332)], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(12, plain, [-(25 ^ [_45332, _36029, _35807]), -(element(24 ^ [_45332, _36029, _35807], powerset(the_carrier(_35807))))], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(13, plain, [-(25 ^ [_45332, _36029, _35807]), -(23 ^ [_45332, _36029, _35807] = _45332)], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(14, plain, [-(25 ^ [_45332, _36029, _35807]), -(in(23 ^ [_45332, _36029, _35807], powerset(the_carrier(_35807))))], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(15, plain, [-(26 ^ [_36029, _35807]), -(in(_45332, 22 ^ [_36029, _35807])), in(_45343, powerset(the_carrier(_35807))), _45343 = _45332, element(_45364, powerset(the_carrier(_35807))), _45364 = _45332, closed_subset(_45364, _35807), subset(_36029, _45332)], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(16, plain, [-(26 ^ [_36029, _35807]), in(_45332, 22 ^ [_36029, _35807]), 25 ^ [_45332, _36029, _35807]], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(17, plain, [-(21 ^ [_36029, _35807]), 17 ^ [_36029, _35807] = 18 ^ [_36029, _35807]], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(18, plain, [-(21 ^ [_36029, _35807]), -(16 ^ [_36029, _35807] = 18 ^ [_36029, _35807])], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(19, plain, [-(21 ^ [_36029, _35807]), -(16 ^ [_36029, _35807] = 17 ^ [_36029, _35807])], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(20, plain, [-(topological_space(27 ^ []))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(21, plain, [-(top_str(27 ^ []))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(22, plain, [-(element(28 ^ [], powerset(the_carrier(27 ^ []))))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(23, plain, [32 ^ [_46194], 30 ^ [_46194]], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(24, plain, [element(_36029, powerset(the_carrier(_35807))), top_str(_35807), topological_space(_35807), 21 ^ [_36029, _35807], 26 ^ [_36029, _35807]], clausify(s1_tarski__e1_40__pre_topc__1)).
% 33.67/33.52 cnf(25, plain, [_25902 = _25951, -(powerset(_25902) = powerset(_25951))], theory(equality)).
% 33.67/33.52 cnf(26, plain, [-(_17632 = _17632)], theory(equality)).
% 33.67/33.52 cnf(27, plain, [_17785 = _17830, -(_17830 = _17785)], theory(equality)).
% 33.67/33.52 cnf(28, plain, [-(_18064 = _18175), _18064 = _18120, _18120 = _18175], theory(equality)).
% 33.67/33.52 cnf(29, plain, [-(in(_20184, _20315)), in(_20117, _20250), _20117 = _20184, _20250 = _20315], theory(equality)).
% 33.67/33.52
% 33.67/33.52 cnf('1',plain,[-(element(28 ^ [], powerset(the_carrier(27 ^ []))))],start(22)).
% 33.67/33.52 cnf('1.1',plain,[element(28 ^ [], powerset(the_carrier(27 ^ []))), top_str(27 ^ []), topological_space(27 ^ []), 21 ^ [28 ^ [], 27 ^ []], 26 ^ [28 ^ [], 27 ^ []]],extension(24,bind([[_36029, _35807], [28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.1',plain,[-(top_str(27 ^ []))],extension(21)).
% 33.67/33.52 cnf('1.1.2',plain,[-(topological_space(27 ^ []))],extension(20)).
% 33.67/33.52 cnf('1.1.3',plain,[-(21 ^ [28 ^ [], 27 ^ []]), -(16 ^ [28 ^ [], 27 ^ []] = 18 ^ [28 ^ [], 27 ^ []])],extension(18,bind([[_36029, _35807], [28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.3.1',plain,[16 ^ [28 ^ [], 27 ^ []] = 18 ^ [28 ^ [], 27 ^ []], -(18 ^ [28 ^ [], 27 ^ []] = 16 ^ [28 ^ [], 27 ^ []])],extension(27,bind([[_17830, _17785], [18 ^ [28 ^ [], 27 ^ []], 16 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.3.1.1',plain,[18 ^ [28 ^ [], 27 ^ []] = 16 ^ [28 ^ [], 27 ^ []], -(18 ^ [28 ^ [], 27 ^ []] = 17 ^ [28 ^ [], 27 ^ []]), 16 ^ [28 ^ [], 27 ^ []] = 17 ^ [28 ^ [], 27 ^ []]],extension(28,bind([[_18064, _18120, _18175], [18 ^ [28 ^ [], 27 ^ []], 16 ^ [28 ^ [], 27 ^ []], 17 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.3.1.1.1',plain,[18 ^ [28 ^ [], 27 ^ []] = 17 ^ [28 ^ [], 27 ^ []], -(17 ^ [28 ^ [], 27 ^ []] = 18 ^ [28 ^ [], 27 ^ []])],extension(27,bind([[_17830, _17785], [17 ^ [28 ^ [], 27 ^ []], 18 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.3.1.1.1.1',plain,[17 ^ [28 ^ [], 27 ^ []] = 18 ^ [28 ^ [], 27 ^ []], -(21 ^ [28 ^ [], 27 ^ []])],extension(17,bind([[_36029, _35807], [28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.3.1.1.1.1.1',plain,[21 ^ [28 ^ [], 27 ^ []]],reduction('1.1')).
% 33.67/33.52 cnf('1.1.3.1.1.2',plain,[-(16 ^ [28 ^ [], 27 ^ []] = 17 ^ [28 ^ [], 27 ^ []]), -(21 ^ [28 ^ [], 27 ^ []])],extension(19,bind([[_36029, _35807], [28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.3.1.1.2.1',plain,[21 ^ [28 ^ [], 27 ^ []]],reduction('1.1')).
% 33.67/33.52 cnf('1.1.4',plain,[-(26 ^ [28 ^ [], 27 ^ []]), in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], 22 ^ [28 ^ [], 27 ^ []]), 25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]],extension(16,bind([[_45332, _36029, _35807], [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.4.1',plain,[-(in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], 22 ^ [28 ^ [], 27 ^ []])), -(30 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(8,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.1.1',plain,[30 ^ [22 ^ [28 ^ [], 27 ^ []]], 32 ^ [22 ^ [28 ^ [], 27 ^ []]]],extension(23,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1',plain,[-(32 ^ [22 ^ [28 ^ [], 27 ^ []]]), -(closed_subset(31 ^ [22 ^ [28 ^ [], 27 ^ []]], 27 ^ []))],extension(3,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1.1',plain,[closed_subset(31 ^ [22 ^ [28 ^ [], 27 ^ []]], 27 ^ []), -(26 ^ [28 ^ [], 27 ^ []]), -(in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], 22 ^ [28 ^ [], 27 ^ []])), in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ []))), 29 ^ [22 ^ [28 ^ [], 27 ^ []]] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]], element(31 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ []))), 31 ^ [22 ^ [28 ^ [], 27 ^ []]] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]], subset(28 ^ [], 29 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(15,bind([[_45343, _35807, _45364, _36029, _45332], [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 27 ^ [], 31 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 29 ^ [22 ^ [28 ^ [], 27 ^ []]]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.1',plain,[26 ^ [28 ^ [], 27 ^ []]],reduction('1.1')).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.2',plain,[in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], 22 ^ [28 ^ [], 27 ^ []])],reduction('1.1.4')).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.3',plain,[-(in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ [])))), -(32 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(6,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.3.1',plain,[32 ^ [22 ^ [28 ^ [], 27 ^ []]]],reduction('1.1.4.1.1')).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.4',plain,[-(29 ^ [22 ^ [28 ^ [], 27 ^ []]] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(26,bind([[_17632], [29 ^ [22 ^ [28 ^ [], 27 ^ []]]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.5',plain,[-(element(31 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ [])))), -(32 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(5,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.5.1',plain,[32 ^ [22 ^ [28 ^ [], 27 ^ []]]],reduction('1.1.4.1.1')).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.6',plain,[-(31 ^ [22 ^ [28 ^ [], 27 ^ []]] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]]), -(32 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(4,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.6.1',plain,[32 ^ [22 ^ [28 ^ [], 27 ^ []]]],reduction('1.1.4.1.1')).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.7',plain,[-(subset(28 ^ [], 29 ^ [22 ^ [28 ^ [], 27 ^ []]])), -(32 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(2,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.1.1.1.1.7.1',plain,[32 ^ [22 ^ [28 ^ [], 27 ^ []]]],reduction('1.1.4.1.1')).
% 33.67/33.52 cnf('1.1.4.2',plain,[-(25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]), -(24 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(11,bind([[_36029, _35807, _45332], [28 ^ [], 27 ^ [], 29 ^ [22 ^ [28 ^ [], 27 ^ []]]]]))).
% 33.67/33.52 cnf('1.1.4.2.1',plain,[24 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]], -(30 ^ [22 ^ [28 ^ [], 27 ^ []]]), in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ []))), element(24 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], powerset(the_carrier(27 ^ []))), closed_subset(24 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], 27 ^ []), subset(28 ^ [], 29 ^ [22 ^ [28 ^ [], 27 ^ []]])],extension(7,bind([[_46310, _46194], [24 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], 22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.2.1.1',plain,[30 ^ [22 ^ [28 ^ [], 27 ^ []]], 32 ^ [22 ^ [28 ^ [], 27 ^ []]]],extension(23,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.2.1.1.1',plain,[-(32 ^ [22 ^ [28 ^ [], 27 ^ []]]), in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], 22 ^ [28 ^ [], 27 ^ []])],extension(1,bind([[_46194], [22 ^ [28 ^ [], 27 ^ []]]]))).
% 33.67/33.52 cnf('1.1.4.2.1.1.1.1',plain,[-(in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], 22 ^ [28 ^ [], 27 ^ []]))],lemmata('1.1.4')).
% 33.67/33.52 cnf('1.1.4.2.1.2',plain,[-(in(29 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ [])))), in(23 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], powerset(the_carrier(27 ^ []))), 23 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ [])) = powerset(the_carrier(27 ^ []))],extension(29,bind([[_20117, _20184, _20250, _20315], [23 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], 29 ^ [22 ^ [28 ^ [], 27 ^ []]], powerset(the_carrier(27 ^ [])), powerset(the_carrier(27 ^ []))]]))).
% 33.67/33.52 cnf('1.1.4.2.1.2.1',plain,[-(in(23 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], powerset(the_carrier(27 ^ [])))), -(25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []])],extension(14,bind([[_45332, _36029, _35807], [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.4.2.1.2.1.1',plain,[25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]],reduction('1.1.4')).
% 33.67/33.52 cnf('1.1.4.2.1.2.2',plain,[-(23 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []] = 29 ^ [22 ^ [28 ^ [], 27 ^ []]]), -(25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []])],extension(13,bind([[_45332, _36029, _35807], [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.4.2.1.2.2.1',plain,[25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]],reduction('1.1.4')).
% 33.67/33.52 cnf('1.1.4.2.1.2.3',plain,[-(powerset(the_carrier(27 ^ [])) = powerset(the_carrier(27 ^ []))), the_carrier(27 ^ []) = the_carrier(27 ^ [])],extension(25,bind([[_25902, _25951], [the_carrier(27 ^ []), the_carrier(27 ^ [])]]))).
% 33.67/33.52 cnf('1.1.4.2.1.2.3.1',plain,[-(the_carrier(27 ^ []) = the_carrier(27 ^ []))],extension(26,bind([[_17632], [the_carrier(27 ^ [])]]))).
% 33.67/33.52 cnf('1.1.4.2.1.3',plain,[-(element(24 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], powerset(the_carrier(27 ^ [])))), -(25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []])],extension(12,bind([[_45332, _36029, _35807], [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.4.2.1.3.1',plain,[25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]],reduction('1.1.4')).
% 33.67/33.52 cnf('1.1.4.2.1.4',plain,[-(closed_subset(24 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []], 27 ^ [])), -(25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []])],extension(10,bind([[_45332, _36029, _35807], [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.4.2.1.4.1',plain,[25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]],reduction('1.1.4')).
% 33.67/33.52 cnf('1.1.4.2.1.5',plain,[-(subset(28 ^ [], 29 ^ [22 ^ [28 ^ [], 27 ^ []]])), -(25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []])],extension(9,bind([[_45332, _36029, _35807], [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]]))).
% 33.67/33.52 cnf('1.1.4.2.1.5.1',plain,[25 ^ [29 ^ [22 ^ [28 ^ [], 27 ^ []]], 28 ^ [], 27 ^ []]],reduction('1.1.4')).
% 33.67/33.52 %-----------------------------------------------------
% 33.67/33.52
% 33.67/33.53 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------