TSTP Solution File: NUM412+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : NUM412+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 11:40:36 EDT 2022
% Result : Theorem 0.31s 1.41s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 19:13:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.31/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.42
% 0.31/1.42 %-----------------------------------------------------
% 0.31/1.42 fof(t48_ordinal1, conjecture, ! [_65270, _65273] : (transfinite_sequence_of(_65273, _65270) => ! [_65291] : (ordinal(_65291) => transfinite_sequence_of(tseq_dom_restriction(_65273, _65291), _65270))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t48_ordinal1)).
% 0.31/1.42 fof(d8_ordinal1, axiom, ! [_65537, _65540] : (relation(_65540) & function(_65540) & transfinite_sequence(_65540) => (transfinite_sequence_of(_65540, _65537) <=> subset(relation_rng(_65540), _65537))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_ordinal1)).
% 0.31/1.42 fof(dt_k2_ordinal1, axiom, ! [_65756, _65759] : (relation(_65756) & function(_65756) & transfinite_sequence(_65756) & ordinal(_65759) => transfinite_sequence_of(tseq_dom_restriction(_65756, _65759), relation_rng(_65756))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k2_ordinal1)).
% 0.31/1.42 fof(dt_m1_ordinal1, axiom, ! [_65984, _65987] : (transfinite_sequence_of(_65987, _65984) => relation(_65987) & function(_65987) & transfinite_sequence(_65987)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_m1_ordinal1)).
% 0.31/1.42 fof(t47_ordinal1, axiom, ! [_66258, _66261] : (subset(_66258, _66261) => ! [_66279] : (transfinite_sequence_of(_66279, _66258) => transfinite_sequence_of(_66279, _66261))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t47_ordinal1)).
% 0.31/1.42
% 0.31/1.42 cnf(1, plain, [-(transfinite_sequence_of(18 ^ [], 17 ^ []))], clausify(t48_ordinal1)).
% 0.31/1.42 cnf(2, plain, [-(ordinal(19 ^ []))], clausify(t48_ordinal1)).
% 0.31/1.42 cnf(3, plain, [transfinite_sequence_of(tseq_dom_restriction(18 ^ [], 19 ^ []), 17 ^ [])], clausify(t48_ordinal1)).
% 0.31/1.42 cnf(4, plain, [transfinite_sequence(_31871), function(_31871), relation(_31871), transfinite_sequence_of(_31871, _31809), -(subset(relation_rng(_31871), _31809))], clausify(d8_ordinal1)).
% 0.31/1.42 cnf(5, plain, [-(transfinite_sequence_of(tseq_dom_restriction(_32328, _32392), relation_rng(_32328))), relation(_32328), function(_32328), transfinite_sequence(_32328), ordinal(_32392)], clausify(dt_k2_ordinal1)).
% 0.31/1.42 cnf(6, plain, [transfinite_sequence_of(_33228, _33174), -(relation(_33228))], clausify(dt_m1_ordinal1)).
% 0.31/1.42 cnf(7, plain, [transfinite_sequence_of(_33228, _33174), -(function(_33228))], clausify(dt_m1_ordinal1)).
% 0.31/1.42 cnf(8, plain, [transfinite_sequence_of(_33228, _33174), -(transfinite_sequence(_33228))], clausify(dt_m1_ordinal1)).
% 0.31/1.42 cnf(9, plain, [subset(_42382, _42438), transfinite_sequence_of(_42552, _42382), -(transfinite_sequence_of(_42552, _42438))], clausify(t47_ordinal1)).
% 0.31/1.42
% 0.31/1.42 cnf('1',plain,[transfinite_sequence_of(tseq_dom_restriction(18 ^ [], 19 ^ []), 17 ^ [])],start(3)).
% 0.31/1.42 cnf('1.1',plain,[-(transfinite_sequence_of(tseq_dom_restriction(18 ^ [], 19 ^ []), 17 ^ [])), subset(relation_rng(18 ^ []), 17 ^ []), transfinite_sequence_of(tseq_dom_restriction(18 ^ [], 19 ^ []), relation_rng(18 ^ []))],extension(9,bind([[_42438, _42552, _42382], [17 ^ [], tseq_dom_restriction(18 ^ [], 19 ^ []), relation_rng(18 ^ [])]]))).
% 0.31/1.42 cnf('1.1.1',plain,[-(subset(relation_rng(18 ^ []), 17 ^ [])), transfinite_sequence(18 ^ []), function(18 ^ []), relation(18 ^ []), transfinite_sequence_of(18 ^ [], 17 ^ [])],extension(4,bind([[_31871, _31809], [18 ^ [], 17 ^ []]]))).
% 0.31/1.42 cnf('1.1.1.1',plain,[-(transfinite_sequence(18 ^ [])), transfinite_sequence_of(18 ^ [], 17 ^ [])],extension(8,bind([[_33228, _33174], [18 ^ [], 17 ^ []]]))).
% 0.31/1.42 cnf('1.1.1.1.1',plain,[-(transfinite_sequence_of(18 ^ [], 17 ^ []))],extension(1)).
% 0.31/1.42 cnf('1.1.1.2',plain,[-(function(18 ^ [])), transfinite_sequence_of(18 ^ [], 17 ^ [])],extension(7,bind([[_33228, _33174], [18 ^ [], 17 ^ []]]))).
% 0.31/1.42 cnf('1.1.1.2.1',plain,[-(transfinite_sequence_of(18 ^ [], 17 ^ []))],extension(1)).
% 0.31/1.42 cnf('1.1.1.3',plain,[-(relation(18 ^ [])), transfinite_sequence_of(18 ^ [], 17 ^ [])],extension(6,bind([[_33228, _33174], [18 ^ [], 17 ^ []]]))).
% 0.31/1.42 cnf('1.1.1.3.1',plain,[-(transfinite_sequence_of(18 ^ [], 17 ^ []))],extension(1)).
% 0.31/1.42 cnf('1.1.1.4',plain,[-(transfinite_sequence_of(18 ^ [], 17 ^ []))],extension(1)).
% 0.31/1.42 cnf('1.1.2',plain,[-(transfinite_sequence_of(tseq_dom_restriction(18 ^ [], 19 ^ []), relation_rng(18 ^ []))), relation(18 ^ []), function(18 ^ []), transfinite_sequence(18 ^ []), ordinal(19 ^ [])],extension(5,bind([[_32328, _32392], [18 ^ [], 19 ^ []]]))).
% 0.31/1.42 cnf('1.1.2.1',plain,[-(relation(18 ^ [])), transfinite_sequence_of(18 ^ [], 17 ^ [])],extension(6,bind([[_33228, _33174], [18 ^ [], 17 ^ []]]))).
% 0.31/1.42 cnf('1.1.2.1.1',plain,[-(transfinite_sequence_of(18 ^ [], 17 ^ []))],extension(1)).
% 0.31/1.42 cnf('1.1.2.2',plain,[-(function(18 ^ [])), transfinite_sequence_of(18 ^ [], 17 ^ [])],extension(7,bind([[_33228, _33174], [18 ^ [], 17 ^ []]]))).
% 0.31/1.42 cnf('1.1.2.2.1',plain,[-(transfinite_sequence_of(18 ^ [], 17 ^ []))],extension(1)).
% 0.31/1.42 cnf('1.1.2.3',plain,[-(transfinite_sequence(18 ^ [])), transfinite_sequence_of(18 ^ [], 17 ^ [])],extension(8,bind([[_33228, _33174], [18 ^ [], 17 ^ []]]))).
% 0.31/1.42 cnf('1.1.2.3.1',plain,[-(transfinite_sequence_of(18 ^ [], 17 ^ []))],extension(1)).
% 0.31/1.42 cnf('1.1.2.4',plain,[-(ordinal(19 ^ []))],extension(2)).
% 0.31/1.42 %-----------------------------------------------------
% 0.31/1.43
% 0.31/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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