TSTP Solution File: SEU310+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 12:01:54 EDT 2022
% Result : Theorem 37.08s 36.63s
% Output : Proof 37.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 22:54:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 37.08/36.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.08/36.64 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.08/36.64
% 37.08/36.64 %-----------------------------------------------------
% 37.08/36.64 fof(s1_xboole_0__e2_37_1_1__pre_topc__1, conjecture, ! [_75361, _75364] : (topological_space(_75361) & top_str(_75361) & element(_75364, powerset(powerset(the_carrier(_75361)))) => ? [_75408] : ! [_75416] : (in(_75416, _75408) <=> in(_75416, powerset(the_carrier(_75361))) & in(set_difference(cast_as_carrier_subset(_75361), _75416), _75364))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 fof(s1_tarski__e2_37_1_1__pre_topc__1, axiom, ! [_75779, _75782] : (topological_space(_75779) & top_str(_75779) & element(_75782, powerset(powerset(the_carrier(_75779)))) => ! [_75826, _75829, _75832] : (_75826 = _75829 & in(set_difference(cast_as_carrier_subset(_75779), _75829), _75782) & _75826 = _75832 & in(set_difference(cast_as_carrier_subset(_75779), _75832), _75782) => _75829 = _75832) => ? [_75826] : ! [_75829] : (in(_75829, _75826) <=> ? [_75832] : (in(_75832, powerset(the_carrier(_75779))) & _75832 = _75829 & in(set_difference(cast_as_carrier_subset(_75779), _75829), _75782)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64
% 37.08/36.64 cnf(1, plain, [-(32 ^ [_50619]), in(30 ^ [_50619], _50619)], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(2, plain, [-(32 ^ [_50619]), -(in(set_difference(cast_as_carrier_subset(28 ^ []), 30 ^ [_50619]), 29 ^ []))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(3, plain, [-(32 ^ [_50619]), -(in(30 ^ [_50619], powerset(the_carrier(28 ^ []))))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(4, plain, [-(31 ^ [_50619]), in(30 ^ [_50619], powerset(the_carrier(28 ^ []))), in(set_difference(cast_as_carrier_subset(28 ^ []), 30 ^ [_50619]), 29 ^ [])], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(5, plain, [-(31 ^ [_50619]), -(in(30 ^ [_50619], _50619))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(6, plain, [-(26 ^ [_49852, _41632, _41474]), -(in(set_difference(cast_as_carrier_subset(_41474), _49852), _41632))], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(7, plain, [-(26 ^ [_49852, _41632, _41474]), -(25 ^ [_49852, _41632, _41474] = _49852)], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(8, plain, [-(26 ^ [_49852, _41632, _41474]), -(in(25 ^ [_49852, _41632, _41474], powerset(the_carrier(_41474))))], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(9, plain, [-(27 ^ [_41632, _41474]), -(in(_49852, 24 ^ [_41632, _41474])), in(_49863, powerset(the_carrier(_41474))), _49863 = _49852, in(set_difference(cast_as_carrier_subset(_41474), _49852), _41632)], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(10, plain, [-(27 ^ [_41632, _41474]), in(_49852, 24 ^ [_41632, _41474]), 26 ^ [_49852, _41632, _41474]], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(11, plain, [-(23 ^ [_41632, _41474]), 21 ^ [_41632, _41474] = 22 ^ [_41632, _41474]], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(12, plain, [-(23 ^ [_41632, _41474]), -(20 ^ [_41632, _41474] = 22 ^ [_41632, _41474])], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(13, plain, [-(23 ^ [_41632, _41474]), -(20 ^ [_41632, _41474] = 21 ^ [_41632, _41474])], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(14, plain, [-(topological_space(28 ^ []))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(15, plain, [-(top_str(28 ^ []))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(16, plain, [-(element(29 ^ [], powerset(powerset(the_carrier(28 ^ [])))))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(17, plain, [32 ^ [_50619], 31 ^ [_50619]], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 37.08/36.64 cnf(18, plain, [_27817 = _27866, -(powerset(_27817) = powerset(_27866))], theory(equality)).
% 37.08/36.64 cnf(19, plain, [_28760 = _28809, -(the_carrier(_28760) = the_carrier(_28809))], theory(equality)).
% 37.08/36.64 cnf(20, plain, [-(_19857 = _19857)], theory(equality)).
% 37.08/36.64 cnf(21, plain, [_20010 = _20055, -(_20055 = _20010)], theory(equality)).
% 37.08/36.64 cnf(22, plain, [-(_20289 = _20400), _20289 = _20345, _20345 = _20400], theory(equality)).
% 37.08/36.64 cnf(23, plain, [-(in(_22409, _22540)), in(_22342, _22475), _22342 = _22409, _22475 = _22540], theory(equality)).
% 37.08/36.64 cnf(24, plain, [element(_41632, powerset(powerset(the_carrier(_41474)))), top_str(_41474), topological_space(_41474), 23 ^ [_41632, _41474], 27 ^ [_41632, _41474]], clausify(s1_tarski__e2_37_1_1__pre_topc__1)).
% 37.08/36.64
% 37.08/36.64 cnf('1',plain,[-(element(29 ^ [], powerset(powerset(the_carrier(28 ^ [])))))],start(16)).
% 37.08/36.64 cnf('1.1',plain,[element(29 ^ [], powerset(powerset(the_carrier(28 ^ [])))), top_str(28 ^ []), topological_space(28 ^ []), 23 ^ [29 ^ [], 28 ^ []], 27 ^ [29 ^ [], 28 ^ []]],extension(24,bind([[_41632, _41474], [29 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.1',plain,[-(top_str(28 ^ []))],extension(15)).
% 37.08/36.64 cnf('1.1.2',plain,[-(topological_space(28 ^ []))],extension(14)).
% 37.08/36.64 cnf('1.1.3',plain,[-(23 ^ [29 ^ [], 28 ^ []]), -(20 ^ [29 ^ [], 28 ^ []] = 22 ^ [29 ^ [], 28 ^ []])],extension(12,bind([[_41632, _41474], [29 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.3.1',plain,[20 ^ [29 ^ [], 28 ^ []] = 22 ^ [29 ^ [], 28 ^ []], -(22 ^ [29 ^ [], 28 ^ []] = 20 ^ [29 ^ [], 28 ^ []])],extension(21,bind([[_20055, _20010], [22 ^ [29 ^ [], 28 ^ []], 20 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.3.1.1',plain,[22 ^ [29 ^ [], 28 ^ []] = 20 ^ [29 ^ [], 28 ^ []], -(22 ^ [29 ^ [], 28 ^ []] = 21 ^ [29 ^ [], 28 ^ []]), 20 ^ [29 ^ [], 28 ^ []] = 21 ^ [29 ^ [], 28 ^ []]],extension(22,bind([[_20289, _20345, _20400], [22 ^ [29 ^ [], 28 ^ []], 20 ^ [29 ^ [], 28 ^ []], 21 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.3.1.1.1',plain,[22 ^ [29 ^ [], 28 ^ []] = 21 ^ [29 ^ [], 28 ^ []], -(21 ^ [29 ^ [], 28 ^ []] = 22 ^ [29 ^ [], 28 ^ []])],extension(21,bind([[_20055, _20010], [21 ^ [29 ^ [], 28 ^ []], 22 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.3.1.1.1.1',plain,[21 ^ [29 ^ [], 28 ^ []] = 22 ^ [29 ^ [], 28 ^ []], -(23 ^ [29 ^ [], 28 ^ []])],extension(11,bind([[_41632, _41474], [29 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.3.1.1.1.1.1',plain,[23 ^ [29 ^ [], 28 ^ []]],reduction('1.1')).
% 37.08/36.64 cnf('1.1.3.1.1.2',plain,[-(20 ^ [29 ^ [], 28 ^ []] = 21 ^ [29 ^ [], 28 ^ []]), -(23 ^ [29 ^ [], 28 ^ []])],extension(13,bind([[_41632, _41474], [29 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.3.1.1.2.1',plain,[23 ^ [29 ^ [], 28 ^ []]],reduction('1.1')).
% 37.08/36.64 cnf('1.1.4',plain,[-(27 ^ [29 ^ [], 28 ^ []]), in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], 24 ^ [29 ^ [], 28 ^ []]), 26 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []]],extension(10,bind([[_49852, _41632, _41474], [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.4.1',plain,[-(in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], 24 ^ [29 ^ [], 28 ^ []])), -(31 ^ [24 ^ [29 ^ [], 28 ^ []]])],extension(5,bind([[_50619], [24 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.4.1.1',plain,[31 ^ [24 ^ [29 ^ [], 28 ^ []]], 32 ^ [24 ^ [29 ^ [], 28 ^ []]]],extension(17,bind([[_50619], [24 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.4.1.1.1',plain,[-(32 ^ [24 ^ [29 ^ [], 28 ^ []]]), -(in(set_difference(cast_as_carrier_subset(28 ^ []), 30 ^ [24 ^ [29 ^ [], 28 ^ []]]), 29 ^ []))],extension(2,bind([[_50619], [24 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.4.1.1.1.1',plain,[in(set_difference(cast_as_carrier_subset(28 ^ []), 30 ^ [24 ^ [29 ^ [], 28 ^ []]]), 29 ^ []), -(27 ^ [29 ^ [], 28 ^ []]), -(in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], 24 ^ [29 ^ [], 28 ^ []])), in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], powerset(the_carrier(28 ^ []))), 30 ^ [24 ^ [29 ^ [], 28 ^ []]] = 30 ^ [24 ^ [29 ^ [], 28 ^ []]]],extension(9,bind([[_41632, _41474, _49863, _49852], [29 ^ [], 28 ^ [], 30 ^ [24 ^ [29 ^ [], 28 ^ []]], 30 ^ [24 ^ [29 ^ [], 28 ^ []]]]]))).
% 37.08/36.64 cnf('1.1.4.1.1.1.1.1',plain,[27 ^ [29 ^ [], 28 ^ []]],reduction('1.1')).
% 37.08/36.64 cnf('1.1.4.1.1.1.1.2',plain,[in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], 24 ^ [29 ^ [], 28 ^ []])],reduction('1.1.4')).
% 37.08/36.64 cnf('1.1.4.1.1.1.1.3',plain,[-(in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], powerset(the_carrier(28 ^ [])))), -(32 ^ [24 ^ [29 ^ [], 28 ^ []]])],extension(3,bind([[_50619], [24 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.4.1.1.1.1.3.1',plain,[32 ^ [24 ^ [29 ^ [], 28 ^ []]]],reduction('1.1.4.1.1')).
% 37.08/36.64 cnf('1.1.4.1.1.1.1.4',plain,[-(30 ^ [24 ^ [29 ^ [], 28 ^ []]] = 30 ^ [24 ^ [29 ^ [], 28 ^ []]])],extension(20,bind([[_19857], [30 ^ [24 ^ [29 ^ [], 28 ^ []]]]]))).
% 37.08/36.64 cnf('1.1.4.2',plain,[-(26 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []]), -(25 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []] = 30 ^ [24 ^ [29 ^ [], 28 ^ []]])],extension(7,bind([[_41632, _41474, _49852], [29 ^ [], 28 ^ [], 30 ^ [24 ^ [29 ^ [], 28 ^ []]]]]))).
% 37.08/36.64 cnf('1.1.4.2.1',plain,[25 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []] = 30 ^ [24 ^ [29 ^ [], 28 ^ []]], -(in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], powerset(the_carrier(28 ^ [])))), in(25 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []], powerset(the_carrier(28 ^ []))), powerset(the_carrier(28 ^ [])) = powerset(the_carrier(28 ^ []))],extension(23,bind([[_22409, _22342, _22475, _22540], [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 25 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []], powerset(the_carrier(28 ^ [])), powerset(the_carrier(28 ^ []))]]))).
% 37.08/36.64 cnf('1.1.4.2.1.1',plain,[in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], powerset(the_carrier(28 ^ []))), -(31 ^ [24 ^ [29 ^ [], 28 ^ []]]), in(set_difference(cast_as_carrier_subset(28 ^ []), 30 ^ [24 ^ [29 ^ [], 28 ^ []]]), 29 ^ [])],extension(4,bind([[_50619], [24 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.4.2.1.1.1',plain,[31 ^ [24 ^ [29 ^ [], 28 ^ []]], 32 ^ [24 ^ [29 ^ [], 28 ^ []]]],extension(17,bind([[_50619], [24 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.4.2.1.1.1.1',plain,[-(32 ^ [24 ^ [29 ^ [], 28 ^ []]]), in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], 24 ^ [29 ^ [], 28 ^ []])],extension(1,bind([[_50619], [24 ^ [29 ^ [], 28 ^ []]]]))).
% 37.08/36.64 cnf('1.1.4.2.1.1.1.1.1',plain,[-(in(30 ^ [24 ^ [29 ^ [], 28 ^ []]], 24 ^ [29 ^ [], 28 ^ []]))],lemmata('1.1.4')).
% 37.08/36.64 cnf('1.1.4.2.1.1.2',plain,[-(in(set_difference(cast_as_carrier_subset(28 ^ []), 30 ^ [24 ^ [29 ^ [], 28 ^ []]]), 29 ^ [])), -(26 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []])],extension(6,bind([[_49852, _41632, _41474], [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.4.2.1.1.2.1',plain,[26 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []]],reduction('1.1.4')).
% 37.08/36.64 cnf('1.1.4.2.1.2',plain,[-(in(25 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []], powerset(the_carrier(28 ^ [])))), -(26 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []])],extension(8,bind([[_49852, _41632, _41474], [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.4.2.1.2.1',plain,[26 ^ [30 ^ [24 ^ [29 ^ [], 28 ^ []]], 29 ^ [], 28 ^ []]],reduction('1.1.4')).
% 37.08/36.64 cnf('1.1.4.2.1.3',plain,[-(powerset(the_carrier(28 ^ [])) = powerset(the_carrier(28 ^ []))), the_carrier(28 ^ []) = the_carrier(28 ^ [])],extension(18,bind([[_27817, _27866], [the_carrier(28 ^ []), the_carrier(28 ^ [])]]))).
% 37.08/36.64 cnf('1.1.4.2.1.3.1',plain,[-(the_carrier(28 ^ []) = the_carrier(28 ^ [])), 28 ^ [] = 28 ^ []],extension(19,bind([[_28760, _28809], [28 ^ [], 28 ^ []]]))).
% 37.08/36.64 cnf('1.1.4.2.1.3.1.1',plain,[-(28 ^ [] = 28 ^ [])],extension(20,bind([[_19857], [28 ^ []]]))).
% 37.08/36.64 %-----------------------------------------------------
% 37.08/36.65
% 37.08/36.65 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------