TSTP Solution File: SEU325+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU325+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 12:02:01 EDT 2022
% Result : Theorem 36.03s 35.50s
% Output : Proof 36.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU325+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 09:22:13 EDT 2022
% 0.11/0.33 % CPUTime :
% 36.03/35.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.03/35.50 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.03/35.51
% 36.03/35.51 %-----------------------------------------------------
% 36.03/35.51 fof(d8_pre_topc, axiom, ! [_73720] : (one_sorted_str(_73720) => ! [_73735] : (element(_73735, powerset(powerset(the_carrier(_73720)))) => (is_a_cover_of_carrier(_73720, _73735) <=> cast_as_carrier_subset(_73720) = union_of_subsets(the_carrier(_73720), _73735)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_pre_topc)).
% 36.03/35.51 fof(d4_tarski, axiom, ! [_73996, _73999] : (_73999 = union(_73996) <=> ! [_74017] : (in(_74017, _73999) <=> ? [_74035] : (in(_74017, _74035) & in(_74035, _73996)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_tarski)).
% 36.03/35.51 fof(t5_tops_2, conjecture, ! [_74310] : (~ empty_carrier(_74310) & one_sorted_str(_74310) => ! [_74334] : (element(_74334, powerset(powerset(the_carrier(_74310)))) => ~ (is_a_cover_of_carrier(_74310, _74334) & _74334 = empty_set))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t5_tops_2)).
% 36.03/35.51 fof(existence_m1_subset_1, axiom, ! [_74743] : ? [_74751] : element(_74751, _74743), file('/export/starexec/sandbox/benchmark/theBenchmark.p', existence_m1_subset_1)).
% 36.03/35.51 fof(fc2_pre_topc, axiom, ! [_74882] : (~ empty_carrier(_74882) & one_sorted_str(_74882) => ~ empty(cast_as_carrier_subset(_74882))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc2_pre_topc)).
% 36.03/35.51 fof(fc6_membered, axiom, empty(empty_set) & v1_membered(empty_set) & v2_membered(empty_set) & v3_membered(empty_set) & v4_membered(empty_set) & v5_membered(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc6_membered)).
% 36.03/35.51 fof(redefinition_k5_setfam_1, axiom, ! [_75146, _75149] : (element(_75149, powerset(powerset(_75146))) => union_of_subsets(_75146, _75149) = union(_75149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_k5_setfam_1)).
% 36.03/35.51 fof(t2_subset, axiom, ! [_75333, _75336] : (element(_75333, _75336) => empty(_75336) | in(_75333, _75336)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_subset)).
% 36.03/35.51 fof(t7_boole, axiom, ! [_75505, _75508] : ~ (in(_75505, _75508) & empty(_75508)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_boole)).
% 36.03/35.51
% 36.03/35.51 cnf(1, plain, [-(17 ^ [_39057, _38950]), is_a_cover_of_carrier(_38950, _39057), -(cast_as_carrier_subset(_38950) = union_of_subsets(the_carrier(_38950), _39057))], clausify(d8_pre_topc)).
% 36.03/35.51 cnf(2, plain, [-(11 ^ [_38514, _38371, _38302]), -(in(10 ^ [_38514, _38371, _38302], _38302))], clausify(d4_tarski)).
% 36.03/35.51 cnf(3, plain, [-(12 ^ [_38371, _38302]), in(_38514, _38371), 11 ^ [_38514, _38371, _38302]], clausify(d4_tarski)).
% 36.03/35.51 cnf(4, plain, [empty_carrier(27 ^ [])], clausify(t5_tops_2)).
% 36.03/35.51 cnf(5, plain, [-(one_sorted_str(27 ^ []))], clausify(t5_tops_2)).
% 36.03/35.51 cnf(6, plain, [-(element(28 ^ [], powerset(powerset(the_carrier(27 ^ [])))))], clausify(t5_tops_2)).
% 36.03/35.51 cnf(7, plain, [-(is_a_cover_of_carrier(27 ^ [], 28 ^ []))], clausify(t5_tops_2)).
% 36.03/35.51 cnf(8, plain, [-(28 ^ [] = empty_set)], clausify(t5_tops_2)).
% 36.03/35.51 cnf(9, plain, [_30573 = _30622, -(union(_30573) = union(_30622))], theory(equality)).
% 36.03/35.51 cnf(10, plain, [-(_21660 = _21660)], theory(equality)).
% 36.03/35.51 cnf(11, plain, [-(_22092 = _22203), _22092 = _22148, _22148 = _22203], theory(equality)).
% 36.03/35.51 cnf(12, plain, [-(in(_23917, _24048)), in(_23850, _23983), _23850 = _23917, _23983 = _24048], theory(equality)).
% 36.03/35.51 cnf(13, plain, [_38371 = union(_38302), 12 ^ [_38371, _38302]], clausify(d4_tarski)).
% 36.03/35.51 cnf(14, plain, [one_sorted_str(_38950), element(_39057, powerset(powerset(the_carrier(_38950)))), 17 ^ [_39057, _38950]], clausify(d8_pre_topc)).
% 36.03/35.51 cnf(15, plain, [-(element(19 ^ [_41197], _41197))], clausify(existence_m1_subset_1)).
% 36.03/35.51 cnf(16, plain, [empty(cast_as_carrier_subset(_41932)), -(empty_carrier(_41932)), one_sorted_str(_41932)], clausify(fc2_pre_topc)).
% 36.03/35.51 cnf(17, plain, [-(empty(empty_set))], clausify(fc6_membered)).
% 36.03/35.51 cnf(18, plain, [element(_44569, powerset(powerset(_44515))), -(union_of_subsets(_44515, _44569) = union(_44569))], clausify(redefinition_k5_setfam_1)).
% 36.03/35.51 cnf(19, plain, [element(_45462, _45512), -(empty(_45512)), -(in(_45462, _45512))], clausify(t2_subset)).
% 36.03/35.51 cnf(20, plain, [in(_47373, _47419), empty(_47419)], clausify(t7_boole)).
% 36.03/35.51
% 36.03/35.51 cnf('1',plain,[empty_carrier(27 ^ [])],start(4)).
% 36.03/35.51 cnf('1.1',plain,[-(empty_carrier(27 ^ [])), empty(cast_as_carrier_subset(27 ^ [])), one_sorted_str(27 ^ [])],extension(16,bind([[_41932], [27 ^ []]]))).
% 36.03/35.51 cnf('1.1.1',plain,[-(empty(cast_as_carrier_subset(27 ^ []))), element(19 ^ [cast_as_carrier_subset(27 ^ [])], cast_as_carrier_subset(27 ^ [])), -(in(19 ^ [cast_as_carrier_subset(27 ^ [])], cast_as_carrier_subset(27 ^ [])))],extension(19,bind([[_45462, _45512], [19 ^ [cast_as_carrier_subset(27 ^ [])], cast_as_carrier_subset(27 ^ [])]]))).
% 36.03/35.51 cnf('1.1.1.1',plain,[-(element(19 ^ [cast_as_carrier_subset(27 ^ [])], cast_as_carrier_subset(27 ^ [])))],extension(15,bind([[_41197], [cast_as_carrier_subset(27 ^ [])]]))).
% 36.03/35.51 cnf('1.1.1.2',plain,[in(19 ^ [cast_as_carrier_subset(27 ^ [])], cast_as_carrier_subset(27 ^ [])), -(in(19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []))), 19 ^ [cast_as_carrier_subset(27 ^ [])] = 19 ^ [cast_as_carrier_subset(27 ^ [])], cast_as_carrier_subset(27 ^ []) = union(28 ^ [])],extension(12,bind([[_23850, _23917, _23983, _24048], [19 ^ [cast_as_carrier_subset(27 ^ [])], 19 ^ [cast_as_carrier_subset(27 ^ [])], cast_as_carrier_subset(27 ^ []), union(28 ^ [])]]))).
% 36.03/35.51 cnf('1.1.1.2.1',plain,[in(19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ [])), -(12 ^ [union(28 ^ []), empty_set]), 11 ^ [19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []), empty_set]],extension(3,bind([[_38514, _38371, _38302], [19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []), empty_set]]))).
% 36.03/35.51 cnf('1.1.1.2.1.1',plain,[12 ^ [union(28 ^ []), empty_set], union(28 ^ []) = union(empty_set)],extension(13,bind([[_38371, _38302], [union(28 ^ []), empty_set]]))).
% 36.03/35.51 cnf('1.1.1.2.1.1.1',plain,[-(union(28 ^ []) = union(empty_set)), 28 ^ [] = empty_set],extension(9,bind([[_30573, _30622], [28 ^ [], empty_set]]))).
% 36.03/35.51 cnf('1.1.1.2.1.1.1.1',plain,[-(28 ^ [] = empty_set)],extension(8)).
% 36.03/35.51 cnf('1.1.1.2.1.2',plain,[-(11 ^ [19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []), empty_set]), -(in(10 ^ [19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []), empty_set], empty_set))],extension(2,bind([[_38514, _38371, _38302], [19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []), empty_set]]))).
% 36.03/35.51 cnf('1.1.1.2.1.2.1',plain,[in(10 ^ [19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []), empty_set], empty_set), empty(empty_set)],extension(20,bind([[_47373, _47419], [10 ^ [19 ^ [cast_as_carrier_subset(27 ^ [])], union(28 ^ []), empty_set], empty_set]]))).
% 36.03/35.51 cnf('1.1.1.2.1.2.1.1',plain,[-(empty(empty_set))],extension(17)).
% 36.03/35.51 cnf('1.1.1.2.2',plain,[-(19 ^ [cast_as_carrier_subset(27 ^ [])] = 19 ^ [cast_as_carrier_subset(27 ^ [])])],extension(10,bind([[_21660], [19 ^ [cast_as_carrier_subset(27 ^ [])]]]))).
% 36.03/35.51 cnf('1.1.1.2.3',plain,[-(cast_as_carrier_subset(27 ^ []) = union(28 ^ [])), cast_as_carrier_subset(27 ^ []) = union_of_subsets(the_carrier(27 ^ []), 28 ^ []), union_of_subsets(the_carrier(27 ^ []), 28 ^ []) = union(28 ^ [])],extension(11,bind([[_22092, _22148, _22203], [cast_as_carrier_subset(27 ^ []), union_of_subsets(the_carrier(27 ^ []), 28 ^ []), union(28 ^ [])]]))).
% 36.03/35.51 cnf('1.1.1.2.3.1',plain,[-(cast_as_carrier_subset(27 ^ []) = union_of_subsets(the_carrier(27 ^ []), 28 ^ [])), -(17 ^ [28 ^ [], 27 ^ []]), is_a_cover_of_carrier(27 ^ [], 28 ^ [])],extension(1,bind([[_38950, _39057], [27 ^ [], 28 ^ []]]))).
% 36.03/35.51 cnf('1.1.1.2.3.1.1',plain,[17 ^ [28 ^ [], 27 ^ []], one_sorted_str(27 ^ []), element(28 ^ [], powerset(powerset(the_carrier(27 ^ []))))],extension(14,bind([[_39057, _38950], [28 ^ [], 27 ^ []]]))).
% 36.03/35.51 cnf('1.1.1.2.3.1.1.1',plain,[-(one_sorted_str(27 ^ []))],extension(5)).
% 36.03/35.51 cnf('1.1.1.2.3.1.1.2',plain,[-(element(28 ^ [], powerset(powerset(the_carrier(27 ^ [])))))],extension(6)).
% 36.03/35.51 cnf('1.1.1.2.3.1.2',plain,[-(is_a_cover_of_carrier(27 ^ [], 28 ^ []))],extension(7)).
% 36.03/35.51 cnf('1.1.1.2.3.2',plain,[-(union_of_subsets(the_carrier(27 ^ []), 28 ^ []) = union(28 ^ [])), element(28 ^ [], powerset(powerset(the_carrier(27 ^ []))))],extension(18,bind([[_44569, _44515], [28 ^ [], the_carrier(27 ^ [])]]))).
% 36.03/35.51 cnf('1.1.1.2.3.2.1',plain,[-(element(28 ^ [], powerset(powerset(the_carrier(27 ^ [])))))],extension(6)).
% 36.03/35.51 cnf('1.1.2',plain,[-(one_sorted_str(27 ^ []))],extension(5)).
% 36.03/35.51 %-----------------------------------------------------
% 36.12/35.51
% 36.12/35.51 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------