%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 : Mon Jul 18 11:40:35 EDT 2022
% Result : Theorem 0.34s 1.40s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 05:33:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 fof(t47_ordinal1, conjecture, ! [_56264, _56267] : (subset(_56264, _56267) => ! [_56285] : (transfinite_sequence_of(_56285, _56264) => transfinite_sequence_of(_56285, _56267))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t47_ordinal1)).
% 0.34/1.41 fof(d8_ordinal1, axiom, ! [_56500, _56503] : (relation(_56503) & function(_56503) & transfinite_sequence(_56503) => (transfinite_sequence_of(_56503, _56500) <=> subset(relation_rng(_56503), _56500))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_ordinal1)).
% 0.34/1.41 fof(dt_m1_ordinal1, axiom, ! [_56730, _56733] : (transfinite_sequence_of(_56733, _56730) => relation(_56733) & function(_56733) & transfinite_sequence(_56733)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_m1_ordinal1)).
% 0.34/1.41 fof(t1_xboole_1, axiom, ! [_56996, _56999, _57002] : (subset(_56996, _56999) & subset(_56999, _57002) => subset(_56996, _57002)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_xboole_1)).
% 0.34/1.41
% 0.34/1.41 cnf(1, plain, [-(subset(17 ^ [], 18 ^ []))], clausify(t47_ordinal1)).
% 0.34/1.41 cnf(2, plain, [-(transfinite_sequence_of(19 ^ [], 17 ^ []))], clausify(t47_ordinal1)).
% 0.34/1.41 cnf(3, plain, [transfinite_sequence_of(19 ^ [], 18 ^ [])], clausify(t47_ordinal1)).
% 0.34/1.41 cnf(4, plain, [transfinite_sequence(_27828), function(_27828), relation(_27828), transfinite_sequence_of(_27828, _27766), -(subset(relation_rng(_27828), _27766))], clausify(d8_ordinal1)).
% 0.34/1.41 cnf(5, plain, [transfinite_sequence(_27828), function(_27828), relation(_27828), -(transfinite_sequence_of(_27828, _27766)), subset(relation_rng(_27828), _27766)], clausify(d8_ordinal1)).
% 0.34/1.41 cnf(6, plain, [transfinite_sequence_of(_28339, _28285), -(relation(_28339))], clausify(dt_m1_ordinal1)).
% 0.34/1.41 cnf(7, plain, [transfinite_sequence_of(_28339, _28285), -(function(_28339))], clausify(dt_m1_ordinal1)).
% 0.34/1.41 cnf(8, plain, [transfinite_sequence_of(_28339, _28285), -(transfinite_sequence(_28339))], clausify(dt_m1_ordinal1)).
% 0.34/1.41 cnf(9, plain, [-(subset(_35276, _35387)), subset(_35276, _35332), subset(_35332, _35387)], clausify(t1_xboole_1)).
% 0.34/1.41
% 0.34/1.41 cnf('1',plain,[transfinite_sequence_of(19 ^ [], 18 ^ [])],start(3)).
% 0.34/1.41 cnf('1.1',plain,[-(transfinite_sequence_of(19 ^ [], 18 ^ [])), transfinite_sequence(19 ^ []), function(19 ^ []), relation(19 ^ []), subset(relation_rng(19 ^ []), 18 ^ [])],extension(5,bind([[_27828, _27766], [19 ^ [], 18 ^ []]]))).
% 0.34/1.41 cnf('1.1.1',plain,[-(transfinite_sequence(19 ^ [])), transfinite_sequence_of(19 ^ [], 17 ^ [])],extension(8,bind([[_28339, _28285], [19 ^ [], 17 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.1',plain,[-(transfinite_sequence_of(19 ^ [], 17 ^ []))],extension(2)).
% 0.34/1.41 cnf('1.1.2',plain,[-(function(19 ^ [])), transfinite_sequence_of(19 ^ [], 17 ^ [])],extension(7,bind([[_28339, _28285], [19 ^ [], 17 ^ []]]))).
% 0.34/1.41 cnf('1.1.2.1',plain,[-(transfinite_sequence_of(19 ^ [], 17 ^ []))],extension(2)).
% 0.34/1.41 cnf('1.1.3',plain,[-(relation(19 ^ [])), transfinite_sequence_of(19 ^ [], 17 ^ [])],extension(6,bind([[_28339, _28285], [19 ^ [], 17 ^ []]]))).
% 0.34/1.41 cnf('1.1.3.1',plain,[-(transfinite_sequence_of(19 ^ [], 17 ^ []))],extension(2)).
% 0.34/1.41 cnf('1.1.4',plain,[-(subset(relation_rng(19 ^ []), 18 ^ [])), subset(relation_rng(19 ^ []), 17 ^ []), subset(17 ^ [], 18 ^ [])],extension(9,bind([[_35276, _35332, _35387], [relation_rng(19 ^ []), 17 ^ [], 18 ^ []]]))).
% 0.34/1.41 cnf('1.1.4.1',plain,[-(subset(relation_rng(19 ^ []), 17 ^ [])), transfinite_sequence(19 ^ []), function(19 ^ []), relation(19 ^ []), transfinite_sequence_of(19 ^ [], 17 ^ [])],extension(4,bind([[_27828, _27766], [19 ^ [], 17 ^ []]]))).
% 0.34/1.41 cnf('1.1.4.1.1',plain,[-(transfinite_sequence(19 ^ []))],lemmata('1.1')).
% 0.34/1.41 cnf('1.1.4.1.2',plain,[-(function(19 ^ []))],lemmata('1.1')).
% 0.34/1.41 cnf('1.1.4.1.3',plain,[-(relation(19 ^ []))],lemmata('1.1')).
% 0.34/1.41 cnf('1.1.4.1.4',plain,[-(transfinite_sequence_of(19 ^ [], 17 ^ []))],extension(2)).
% 0.34/1.41 cnf('1.1.4.2',plain,[-(subset(17 ^ [], 18 ^ []))],extension(1)).
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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