TSTP Solution File: NUM394+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM394+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n016.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 11:40:30 EDT 2022

% Result   : Theorem 0.37s 1.39s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM394+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n016.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 : Thu Jul  7 17:26:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/1.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41  
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  fof(t26_ordinal1, conjecture, ! [_47651] : (ordinal(_47651) => ! [_47666] : (ordinal(_47666) => ordinal_subset(_47651, _47666) | in(_47666, _47651))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t26_ordinal1)).
% 0.37/1.41  fof(cc1_ordinal1, axiom, ! [_47932] : (ordinal(_47932) => epsilon_transitive(_47932) & epsilon_connected(_47932)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_ordinal1)).
% 0.37/1.41  fof(connectedness_r1_ordinal1, axiom, ! [_48078, _48081] : (ordinal(_48078) & ordinal(_48081) => ordinal_subset(_48078, _48081) | ordinal_subset(_48081, _48078)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', connectedness_r1_ordinal1)).
% 0.37/1.41  fof(d2_ordinal1, axiom, ! [_48268] : (epsilon_transitive(_48268) <=> ! [_48283] : (in(_48283, _48268) => subset(_48283, _48268))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_ordinal1)).
% 0.37/1.41  fof(redefinition_r1_ordinal1, axiom, ! [_48487, _48490] : (ordinal(_48487) & ordinal(_48490) => (ordinal_subset(_48487, _48490) <=> subset(_48487, _48490))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_r1_ordinal1)).
% 0.37/1.41  fof(t24_ordinal1, axiom, ! [_48678] : (ordinal(_48678) => ! [_48693] : (ordinal(_48693) => ~ (~ in(_48678, _48693) & (! _48678) = _48693 & ~ in(_48693, _48678)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_ordinal1)).
% 0.37/1.41  
% 0.37/1.41  cnf(1, plain, [-(ordinal(14 ^ []))], clausify(t26_ordinal1)).
% 0.37/1.41  cnf(2, plain, [-(ordinal(15 ^ []))], clausify(t26_ordinal1)).
% 0.37/1.41  cnf(3, plain, [ordinal_subset(14 ^ [], 15 ^ [])], clausify(t26_ordinal1)).
% 0.37/1.41  cnf(4, plain, [in(15 ^ [], 14 ^ [])], clausify(t26_ordinal1)).
% 0.37/1.41  cnf(5, plain, [_14807 = _14852, -(_14852 = _14807)], theory(equality)).
% 0.37/1.41  cnf(6, plain, [-(ordinal_subset(_18851, _18982)), ordinal_subset(_18784, _18917), _18784 = _18851, _18917 = _18982], theory(equality)).
% 0.37/1.41  cnf(7, plain, [ordinal(_22099), -(epsilon_transitive(_22099))], clausify(cc1_ordinal1)).
% 0.37/1.41  cnf(8, plain, [ordinal(_23342), ordinal(_23287), -(ordinal_subset(_23287, _23342)), -(ordinal_subset(_23342, _23287))], clausify(connectedness_r1_ordinal1)).
% 0.37/1.41  cnf(9, plain, [epsilon_transitive(_23723), in(_23811, _23723), -(subset(_23811, _23723))], clausify(d2_ordinal1)).
% 0.37/1.41  cnf(10, plain, [ordinal(_27397), ordinal(_27342), -(ordinal_subset(_27342, _27397)), subset(_27342, _27397)], clausify(redefinition_r1_ordinal1)).
% 0.37/1.41  cnf(11, plain, [ordinal(_28662), ordinal(_28769), -(in(_28662, _28769)), -(_28662 = _28769), -(in(_28769, _28662))], clausify(t24_ordinal1)).
% 0.37/1.41  
% 0.37/1.41  cnf('1',plain,[in(15 ^ [], 14 ^ [])],start(4)).
% 0.37/1.41  cnf('1.1',plain,[-(in(15 ^ [], 14 ^ [])), ordinal(15 ^ []), ordinal(14 ^ []), -(15 ^ [] = 14 ^ []), -(in(14 ^ [], 15 ^ []))],extension(11,bind([[_28769, _28662], [14 ^ [], 15 ^ []]]))).
% 0.37/1.41  cnf('1.1.1',plain,[-(ordinal(15 ^ []))],extension(2)).
% 0.37/1.41  cnf('1.1.2',plain,[-(ordinal(14 ^ []))],extension(1)).
% 0.37/1.41  cnf('1.1.3',plain,[15 ^ [] = 14 ^ [], -(ordinal_subset(14 ^ [], 15 ^ [])), ordinal_subset(15 ^ [], 14 ^ []), 14 ^ [] = 15 ^ []],extension(6,bind([[_18851, _18784, _18917, _18982], [14 ^ [], 15 ^ [], 14 ^ [], 15 ^ []]]))).
% 0.37/1.41  cnf('1.1.3.1',plain,[ordinal_subset(14 ^ [], 15 ^ [])],extension(3)).
% 0.37/1.41  cnf('1.1.3.2',plain,[-(ordinal_subset(15 ^ [], 14 ^ [])), ordinal(14 ^ []), ordinal(15 ^ []), -(ordinal_subset(14 ^ [], 15 ^ []))],extension(8,bind([[_23342, _23287], [14 ^ [], 15 ^ []]]))).
% 0.37/1.41  cnf('1.1.3.2.1',plain,[-(ordinal(14 ^ []))],extension(1)).
% 0.37/1.41  cnf('1.1.3.2.2',plain,[-(ordinal(15 ^ []))],extension(2)).
% 0.37/1.41  cnf('1.1.3.2.3',plain,[ordinal_subset(14 ^ [], 15 ^ [])],extension(3)).
% 0.37/1.41  cnf('1.1.3.3',plain,[-(14 ^ [] = 15 ^ []), 15 ^ [] = 14 ^ []],extension(5,bind([[_14807, _14852], [15 ^ [], 14 ^ []]]))).
% 0.37/1.41  cnf('1.1.3.3.1',plain,[-(15 ^ [] = 14 ^ [])],reduction('1.1')).
% 0.37/1.41  cnf('1.1.4',plain,[in(14 ^ [], 15 ^ []), epsilon_transitive(15 ^ []), -(subset(14 ^ [], 15 ^ []))],extension(9,bind([[_23811, _23723], [14 ^ [], 15 ^ []]]))).
% 0.37/1.41  cnf('1.1.4.1',plain,[-(epsilon_transitive(15 ^ [])), ordinal(15 ^ [])],extension(7,bind([[_22099], [15 ^ []]]))).
% 0.37/1.41  cnf('1.1.4.1.1',plain,[-(ordinal(15 ^ []))],extension(2)).
% 0.37/1.41  cnf('1.1.4.2',plain,[subset(14 ^ [], 15 ^ []), ordinal(15 ^ []), ordinal(14 ^ []), -(ordinal_subset(14 ^ [], 15 ^ []))],extension(10,bind([[_27342, _27397], [14 ^ [], 15 ^ []]]))).
% 0.37/1.41  cnf('1.1.4.2.1',plain,[-(ordinal(15 ^ []))],extension(2)).
% 0.37/1.41  cnf('1.1.4.2.2',plain,[-(ordinal(14 ^ []))],extension(1)).
% 0.37/1.41  cnf('1.1.4.2.3',plain,[ordinal_subset(14 ^ [], 15 ^ [])],extension(3)).
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  
% 0.37/1.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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