TSTP Solution File: NUM414+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 0.43s 1.40s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n021.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 : Tue Jul 5 18:37:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.41
% 0.43/1.41 %-----------------------------------------------------
% 0.43/1.41 fof(t50_ordinal1, conjecture, ! [_55634] : (ordinal(_55634) => ! [_55649] : (ordinal(_55649) => ~ (~ proper_subset(_55634, _55649) & (! _55634) = _55649 & ~ proper_subset(_55649, _55634)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t50_ordinal1)).
% 0.43/1.41 fof(connectedness_r1_ordinal1, axiom, ! [_55978, _55981] : (ordinal(_55978) & ordinal(_55981) => ordinal_subset(_55978, _55981) | ordinal_subset(_55981, _55978)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', connectedness_r1_ordinal1)).
% 0.43/1.41 fof(d8_xboole_0, axiom, ! [_56168, _56171] : (proper_subset(_56168, _56171) <=> subset(_56168, _56171) & (! _56168) = _56171), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_xboole_0)).
% 0.43/1.41 fof(redefinition_r1_ordinal1, axiom, ! [_56400, _56403] : (ordinal(_56400) & ordinal(_56403) => (ordinal_subset(_56400, _56403) <=> subset(_56400, _56403))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_r1_ordinal1)).
% 0.43/1.41
% 0.43/1.41 cnf(1, plain, [-(ordinal(16 ^ []))], clausify(t50_ordinal1)).
% 0.43/1.41 cnf(2, plain, [-(ordinal(17 ^ []))], clausify(t50_ordinal1)).
% 0.43/1.41 cnf(3, plain, [proper_subset(16 ^ [], 17 ^ [])], clausify(t50_ordinal1)).
% 0.43/1.41 cnf(4, plain, [16 ^ [] = 17 ^ []], clausify(t50_ordinal1)).
% 0.43/1.41 cnf(5, plain, [proper_subset(17 ^ [], 16 ^ [])], clausify(t50_ordinal1)).
% 0.43/1.41 cnf(6, plain, [_17521 = _17566, -(_17566 = _17521)], theory(equality)).
% 0.43/1.41 cnf(7, plain, [ordinal(_27695), ordinal(_27640), -(ordinal_subset(_27640, _27695)), -(ordinal_subset(_27695, _27640))], clausify(connectedness_r1_ordinal1)).
% 0.43/1.41 cnf(8, plain, [-(proper_subset(_28076, _28129)), subset(_28076, _28129), -(_28076 = _28129)], clausify(d8_xboole_0)).
% 0.43/1.41 cnf(9, plain, [ordinal(_33640), ordinal(_33585), ordinal_subset(_33585, _33640), -(subset(_33585, _33640))], clausify(redefinition_r1_ordinal1)).
% 0.43/1.41
% 0.43/1.41 cnf('1',plain,[proper_subset(17 ^ [], 16 ^ [])],start(5)).
% 0.43/1.41 cnf('1.1',plain,[-(proper_subset(17 ^ [], 16 ^ [])), subset(17 ^ [], 16 ^ []), -(17 ^ [] = 16 ^ [])],extension(8,bind([[_28076, _28129], [17 ^ [], 16 ^ []]]))).
% 0.43/1.41 cnf('1.1.1',plain,[-(subset(17 ^ [], 16 ^ [])), ordinal(16 ^ []), ordinal(17 ^ []), ordinal_subset(17 ^ [], 16 ^ [])],extension(9,bind([[_33585, _33640], [17 ^ [], 16 ^ []]]))).
% 0.43/1.41 cnf('1.1.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 0.43/1.41 cnf('1.1.1.2',plain,[-(ordinal(17 ^ []))],extension(2)).
% 0.43/1.41 cnf('1.1.1.3',plain,[-(ordinal_subset(17 ^ [], 16 ^ [])), ordinal(16 ^ []), ordinal(17 ^ []), -(ordinal_subset(16 ^ [], 17 ^ []))],extension(7,bind([[_27695, _27640], [16 ^ [], 17 ^ []]]))).
% 0.43/1.41 cnf('1.1.1.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 0.43/1.41 cnf('1.1.1.3.2',plain,[-(ordinal(17 ^ []))],extension(2)).
% 0.43/1.41 cnf('1.1.1.3.3',plain,[ordinal_subset(16 ^ [], 17 ^ []), ordinal(17 ^ []), ordinal(16 ^ []), -(subset(16 ^ [], 17 ^ []))],extension(9,bind([[_33585, _33640], [16 ^ [], 17 ^ []]]))).
% 0.43/1.41 cnf('1.1.1.3.3.1',plain,[-(ordinal(17 ^ []))],extension(2)).
% 0.43/1.41 cnf('1.1.1.3.3.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 0.43/1.41 cnf('1.1.1.3.3.3',plain,[subset(16 ^ [], 17 ^ []), -(proper_subset(16 ^ [], 17 ^ [])), -(16 ^ [] = 17 ^ [])],extension(8,bind([[_28076, _28129], [16 ^ [], 17 ^ []]]))).
% 0.43/1.41 cnf('1.1.1.3.3.3.1',plain,[proper_subset(16 ^ [], 17 ^ [])],extension(3)).
% 0.43/1.41 cnf('1.1.1.3.3.3.2',plain,[16 ^ [] = 17 ^ []],extension(4)).
% 0.43/1.41 cnf('1.1.2',plain,[17 ^ [] = 16 ^ [], -(16 ^ [] = 17 ^ [])],extension(6,bind([[_17566, _17521], [16 ^ [], 17 ^ []]]))).
% 0.43/1.41 cnf('1.1.2.1',plain,[16 ^ [] = 17 ^ []],extension(4)).
% 0.43/1.41 %-----------------------------------------------------
% 0.43/1.42
% 0.43/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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