%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU113+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 0.60s 1.40s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU113+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 04:08:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/1.41
% 0.60/1.41 %-----------------------------------------------------
% 0.60/1.41 fof(t26_finsub_1, conjecture, ! [_51356] : subset(finite_subsets(_51356), powerset(_51356)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t26_finsub_1)).
% 0.60/1.41 fof(cc2_finsub_1, axiom, ! [_51486] : (cup_closed(_51486) & diff_closed(_51486) => preboolean(_51486)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_finsub_1)).
% 0.60/1.41 fof(d3_tarski, axiom, ! [_51629, _51632] : (subset(_51629, _51632) <=> ! [_51650] : (in(_51650, _51629) => in(_51650, _51632))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.60/1.41 fof(d5_finsub_1, axiom, ! [_51846, _51849] : (preboolean(_51849) => (_51849 = finite_subsets(_51846) <=> ! [_51874] : (in(_51874, _51849) <=> subset(_51874, _51846) & finite(_51874)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_finsub_1)).
% 0.60/1.41 fof(fc1_finsub_1, axiom, ! [_52104] : (~ empty(powerset(_52104)) & cup_closed(powerset(_52104)) & diff_closed(powerset(_52104)) & preboolean(powerset(_52104))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_finsub_1)).
% 0.60/1.41 fof(fc2_finsub_1, axiom, ! [_52316] : (~ empty(finite_subsets(_52316)) & cup_closed(finite_subsets(_52316)) & diff_closed(finite_subsets(_52316)) & preboolean(finite_subsets(_52316))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc2_finsub_1)).
% 0.60/1.41 fof(t2_subset, axiom, ! [_52566, _52569] : (element(_52566, _52569) => empty(_52569) | in(_52566, _52569)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_subset)).
% 0.60/1.41 fof(t3_subset, axiom, ! [_52734, _52737] : (element(_52734, powerset(_52737)) <=> subset(_52734, _52737)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_subset)).
% 0.60/1.41
% 0.60/1.41 cnf(1, plain, [subset(finite_subsets(13 ^ []), powerset(13 ^ []))], clausify(t26_finsub_1)).
% 0.60/1.41 cnf(2, plain, [-(preboolean(_24635)), cup_closed(_24635), diff_closed(_24635)], clausify(cc2_finsub_1)).
% 0.60/1.41 cnf(3, plain, [-(subset(_25210, _25266)), -(in(1 ^ [_25266, _25210], _25210))], clausify(d3_tarski)).
% 0.60/1.41 cnf(4, plain, [-(subset(_25210, _25266)), in(1 ^ [_25266, _25210], _25266)], clausify(d3_tarski)).
% 0.60/1.41 cnf(5, plain, [preboolean(_25739), _25739 = finite_subsets(_25671), in(_25919, _25739), -(subset(_25919, _25671))], clausify(d5_finsub_1)).
% 0.60/1.41 cnf(6, plain, [empty(powerset(_26678))], clausify(fc1_finsub_1)).
% 0.60/1.41 cnf(7, plain, [-(cup_closed(finite_subsets(_27394)))], clausify(fc2_finsub_1)).
% 0.60/1.41 cnf(8, plain, [-(diff_closed(finite_subsets(_27394)))], clausify(fc2_finsub_1)).
% 0.60/1.41 cnf(9, plain, [element(_31758, _31808), -(empty(_31808)), -(in(_31758, _31808))], clausify(t2_subset)).
% 0.60/1.41 cnf(10, plain, [-(element(_32131, powerset(_32178))), subset(_32131, _32178)], clausify(t3_subset)).
% 0.60/1.41 cnf(11, plain, [_22763 = _22812, -(finite_subsets(_22763) = finite_subsets(_22812))], theory(equality)).
% 0.60/1.41 cnf(12, plain, [-(_15476 = _15476)], theory(equality)).
% 0.60/1.41
% 0.60/1.41 cnf('1',plain,[subset(finite_subsets(13 ^ []), powerset(13 ^ []))],start(1)).
% 0.60/1.41 cnf('1.1',plain,[-(subset(finite_subsets(13 ^ []), powerset(13 ^ []))), -(in(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ [])))],extension(3,bind([[_25266, _25210], [powerset(13 ^ []), finite_subsets(13 ^ [])]]))).
% 0.60/1.41 cnf('1.1.1',plain,[in(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ [])), preboolean(finite_subsets(13 ^ [])), finite_subsets(13 ^ []) = finite_subsets(13 ^ []), -(subset(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], 13 ^ []))],extension(5,bind([[_25739, _25919, _25671], [finite_subsets(13 ^ []), 1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], 13 ^ []]]))).
% 0.60/1.41 cnf('1.1.1.1',plain,[-(preboolean(finite_subsets(13 ^ []))), cup_closed(finite_subsets(13 ^ [])), diff_closed(finite_subsets(13 ^ []))],extension(2,bind([[_24635], [finite_subsets(13 ^ [])]]))).
% 0.60/1.41 cnf('1.1.1.1.1',plain,[-(cup_closed(finite_subsets(13 ^ [])))],extension(7,bind([[_27394], [13 ^ []]]))).
% 0.60/1.41 cnf('1.1.1.1.2',plain,[-(diff_closed(finite_subsets(13 ^ [])))],extension(8,bind([[_27394], [13 ^ []]]))).
% 0.60/1.41 cnf('1.1.1.2',plain,[-(finite_subsets(13 ^ []) = finite_subsets(13 ^ [])), 13 ^ [] = 13 ^ []],extension(11,bind([[_22763, _22812], [13 ^ [], 13 ^ []]]))).
% 0.60/1.41 cnf('1.1.1.2.1',plain,[-(13 ^ [] = 13 ^ [])],extension(12,bind([[_15476], [13 ^ []]]))).
% 0.60/1.41 cnf('1.1.1.3',plain,[subset(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], 13 ^ []), -(element(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], powerset(13 ^ [])))],extension(10,bind([[_32131, _32178], [1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], 13 ^ []]]))).
% 0.60/1.41 cnf('1.1.1.3.1',plain,[element(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], powerset(13 ^ [])), -(empty(powerset(13 ^ []))), -(in(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], powerset(13 ^ [])))],extension(9,bind([[_31758, _31808], [1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], powerset(13 ^ [])]]))).
% 0.60/1.41 cnf('1.1.1.3.1.1',plain,[empty(powerset(13 ^ []))],extension(6,bind([[_26678], [13 ^ []]]))).
% 0.60/1.41 cnf('1.1.1.3.1.2',plain,[in(1 ^ [powerset(13 ^ []), finite_subsets(13 ^ [])], powerset(13 ^ [])), -(subset(finite_subsets(13 ^ []), powerset(13 ^ [])))],extension(4,bind([[_25210, _25266], [finite_subsets(13 ^ []), powerset(13 ^ [])]]))).
% 0.60/1.41 cnf('1.1.1.3.1.2.1',plain,[subset(finite_subsets(13 ^ []), powerset(13 ^ []))],extension(1)).
% 0.60/1.41 %-----------------------------------------------------
% 0.60/1.42
% 0.60/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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