TSTP Solution File: SEU114+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU114+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 12:00:11 EDT 2022
% Result : Theorem 0.71s 1.40s
% Output : Proof 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU114+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n029.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 07:33:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.71/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/1.41
% 0.71/1.41 %-----------------------------------------------------
% 0.71/1.41 fof(t27_finsub_1, conjecture, ! [_58510] : (finite(_58510) => finite_subsets(_58510) = powerset(_58510)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t27_finsub_1)).
% 0.71/1.41 fof(cc2_finset_1, axiom, ! [_58699] : (finite(_58699) => ! [_58714] : (element(_58714, powerset(_58699)) => finite(_58714))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_finset_1)).
% 0.71/1.41 fof(cc2_finsub_1, axiom, ! [_58887] : (cup_closed(_58887) & diff_closed(_58887) => preboolean(_58887)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_finsub_1)).
% 0.71/1.41 fof(d5_finsub_1, axiom, ! [_59039, _59042] : (preboolean(_59042) => (_59042 = finite_subsets(_59039) <=> ! [_59067] : (in(_59067, _59042) <=> subset(_59067, _59039) & finite(_59067)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_finsub_1)).
% 0.71/1.41 fof(fc1_finsub_1, axiom, ! [_59305] : (~ empty(powerset(_59305)) & cup_closed(powerset(_59305)) & diff_closed(powerset(_59305)) & preboolean(powerset(_59305))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_finsub_1)).
% 0.71/1.41 fof(t1_subset, axiom, ! [_59584, _59587] : (in(_59584, _59587) => element(_59584, _59587)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_subset)).
% 0.71/1.41 fof(t2_subset, axiom, ! [_59731, _59734] : (element(_59731, _59734) => empty(_59734) | in(_59731, _59734)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_subset)).
% 0.71/1.41 fof(t3_subset, axiom, ! [_59898, _59901] : (element(_59898, powerset(_59901)) <=> subset(_59898, _59901)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_subset)).
% 0.71/1.41
% 0.71/1.41 cnf(1, plain, [-(finite(13 ^ []))], clausify(t27_finsub_1)).
% 0.71/1.41 cnf(2, plain, [finite_subsets(13 ^ []) = powerset(13 ^ [])], clausify(t27_finsub_1)).
% 0.71/1.41 cnf(3, plain, [_16677 = _16722, -(_16722 = _16677)], theory(equality)).
% 0.71/1.41 cnf(4, plain, [finite(_25318), element(_25407, powerset(_25318)), -(finite(_25407))], clausify(cc2_finset_1)).
% 0.71/1.41 cnf(5, plain, [-(preboolean(_25683)), cup_closed(_25683), diff_closed(_25683)], clausify(cc2_finsub_1)).
% 0.71/1.41 cnf(6, plain, [preboolean(_27183), -(_27183 = finite_subsets(_27115)), -(in(2 ^ [_27183, _27115], _27183)), -(subset(2 ^ [_27183, _27115], _27115))], clausify(d5_finsub_1)).
% 0.71/1.41 cnf(7, plain, [preboolean(_27183), -(_27183 = finite_subsets(_27115)), in(2 ^ [_27183, _27115], _27183), subset(2 ^ [_27183, _27115], _27115), finite(2 ^ [_27183, _27115])], clausify(d5_finsub_1)).
% 0.71/1.41 cnf(8, plain, [empty(powerset(_28122))], clausify(fc1_finsub_1)).
% 0.71/1.41 cnf(9, plain, [-(cup_closed(powerset(_28122)))], clausify(fc1_finsub_1)).
% 0.71/1.41 cnf(10, plain, [-(diff_closed(powerset(_28122)))], clausify(fc1_finsub_1)).
% 0.71/1.41 cnf(11, plain, [-(preboolean(powerset(_28122)))], clausify(fc1_finsub_1)).
% 0.71/1.41 cnf(12, plain, [in(_33242, _33287), -(element(_33242, _33287))], clausify(t1_subset)).
% 0.71/1.41 cnf(13, plain, [element(_33762, _33812), -(empty(_33812)), -(in(_33762, _33812))], clausify(t2_subset)).
% 0.71/1.41 cnf(14, plain, [element(_34135, powerset(_34182)), -(subset(_34135, _34182))], clausify(t3_subset)).
% 0.71/1.41 cnf(15, plain, [-(element(_34135, powerset(_34182))), subset(_34135, _34182)], clausify(t3_subset)).
% 0.71/1.41
% 0.71/1.41 cnf('1',plain,[finite_subsets(13 ^ []) = powerset(13 ^ [])],start(2)).
% 0.71/1.41 cnf('1.1',plain,[-(finite_subsets(13 ^ []) = powerset(13 ^ [])), powerset(13 ^ []) = finite_subsets(13 ^ [])],extension(3,bind([[_16677, _16722], [powerset(13 ^ []), finite_subsets(13 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1',plain,[-(powerset(13 ^ []) = finite_subsets(13 ^ [])), preboolean(powerset(13 ^ [])), -(in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))), -(subset(2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []))],extension(6,bind([[_27183, _27115], [powerset(13 ^ []), 13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.1',plain,[-(preboolean(powerset(13 ^ []))), cup_closed(powerset(13 ^ [])), diff_closed(powerset(13 ^ []))],extension(5,bind([[_25683], [powerset(13 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1.1.1',plain,[-(cup_closed(powerset(13 ^ [])))],extension(9,bind([[_28122], [13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.1.2',plain,[-(diff_closed(powerset(13 ^ [])))],extension(10,bind([[_28122], [13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.2',plain,[in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])), preboolean(powerset(13 ^ [])), -(powerset(13 ^ []) = finite_subsets(13 ^ [])), subset(2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []), finite(2 ^ [powerset(13 ^ []), 13 ^ []])],extension(7,bind([[_27183, _27115], [powerset(13 ^ []), 13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.2.1',plain,[-(preboolean(powerset(13 ^ [])))],extension(11,bind([[_28122], [13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.2.2',plain,[powerset(13 ^ []) = finite_subsets(13 ^ [])],reduction('1.1')).
% 0.71/1.41 cnf('1.1.1.2.3',plain,[-(subset(2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ [])), element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))],extension(14,bind([[_34135, _34182], [2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.2.3.1',plain,[-(element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))), in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))],extension(12,bind([[_33242, _33287], [2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1.2.3.1.1',plain,[-(in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])))],reduction('1.1.1')).
% 0.71/1.41 cnf('1.1.1.2.4',plain,[-(finite(2 ^ [powerset(13 ^ []), 13 ^ []])), finite(13 ^ []), element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))],extension(4,bind([[_25407, _25318], [2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.2.4.1',plain,[-(finite(13 ^ []))],extension(1)).
% 0.71/1.41 cnf('1.1.1.2.4.2',plain,[-(element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))), in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))],extension(12,bind([[_33242, _33287], [2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1.2.4.2.1',plain,[-(in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])))],reduction('1.1.1')).
% 0.71/1.41 cnf('1.1.1.3',plain,[subset(2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []), preboolean(powerset(13 ^ [])), -(powerset(13 ^ []) = finite_subsets(13 ^ [])), in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])), finite(2 ^ [powerset(13 ^ []), 13 ^ []])],extension(7,bind([[_27183, _27115], [powerset(13 ^ []), 13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.3.1',plain,[-(preboolean(powerset(13 ^ [])))],extension(11,bind([[_28122], [13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.3.2',plain,[powerset(13 ^ []) = finite_subsets(13 ^ [])],reduction('1.1')).
% 0.71/1.41 cnf('1.1.1.3.3',plain,[-(in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))), element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])), -(empty(powerset(13 ^ [])))],extension(13,bind([[_33762, _33812], [2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1.3.3.1',plain,[-(element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))), subset(2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ [])],extension(15,bind([[_34135, _34182], [2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.3.3.1.1',plain,[-(subset(2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []))],reduction('1.1.1')).
% 0.71/1.41 cnf('1.1.1.3.3.2',plain,[empty(powerset(13 ^ []))],extension(8,bind([[_28122], [13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.3.4',plain,[-(finite(2 ^ [powerset(13 ^ []), 13 ^ []])), finite(13 ^ []), element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))],extension(4,bind([[_25407, _25318], [2 ^ [powerset(13 ^ []), 13 ^ []], 13 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.3.4.1',plain,[-(finite(13 ^ []))],extension(1)).
% 0.71/1.41 cnf('1.1.1.3.4.2',plain,[-(element(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))), in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ []))],extension(12,bind([[_33242, _33287], [2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1.3.4.2.1',plain,[-(in(2 ^ [powerset(13 ^ []), 13 ^ []], powerset(13 ^ [])))],lemmata('1.1.1.3')).
% 0.71/1.41 %-----------------------------------------------------
% 0.71/1.42
% 0.71/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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