TSTP Solution File: SET893+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET893+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 02:56:52 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET893+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 02:59:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(t34_zfmisc_1, conjecture, ! [_23660, _23663, _23666, _23669] : (in(ordered_pair(_23660, _23663), cartesian_product2(singleton(_23666), singleton(_23669))) <=> _23660 = _23666 & _23663 = _23669), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t34_zfmisc_1)).
% 0.34/1.42 fof(l55_zfmisc_1, axiom, ! [_23959, _23962, _23965, _23968] : (in(ordered_pair(_23959, _23962), cartesian_product2(_23965, _23968)) <=> in(_23959, _23965) & in(_23962, _23968)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 0.34/1.42 fof(d1_tarski, axiom, ! [_24211, _24214] : (_24214 = singleton(_24211) <=> ! [_24232] : (in(_24232, _24214) <=> _24232 = _24211)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [-(9 ^ []), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ [])))], clausify(t34_zfmisc_1)).
% 0.34/1.42 cnf(2, plain, [-(9 ^ []), -(5 ^ [] = 7 ^ [])], clausify(t34_zfmisc_1)).
% 0.34/1.42 cnf(3, plain, [-(9 ^ []), -(4 ^ [] = 6 ^ [])], clausify(t34_zfmisc_1)).
% 0.34/1.42 cnf(4, plain, [-(8 ^ []), 4 ^ [] = 6 ^ [], 5 ^ [] = 7 ^ []], clausify(t34_zfmisc_1)).
% 0.34/1.42 cnf(5, plain, [-(8 ^ []), -(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ []))))], clausify(t34_zfmisc_1)).
% 0.34/1.42 cnf(6, plain, [9 ^ [], 8 ^ []], clausify(t34_zfmisc_1)).
% 0.34/1.42 cnf(7, plain, [in(ordered_pair(_11859, _11926), cartesian_product2(_11992, _12057)), -(in(_11859, _11992))], clausify(l55_zfmisc_1)).
% 0.34/1.42 cnf(8, plain, [in(ordered_pair(_11859, _11926), cartesian_product2(_11992, _12057)), -(in(_11926, _12057))], clausify(l55_zfmisc_1)).
% 0.34/1.42 cnf(9, plain, [-(in(ordered_pair(_11859, _11926), cartesian_product2(_11992, _12057))), in(_11859, _11992), in(_11926, _12057)], clausify(l55_zfmisc_1)).
% 0.34/1.42 cnf(10, plain, [_10799 = singleton(_10741), in(_10931, _10799), -(_10931 = _10741)], clausify(d1_tarski)).
% 0.34/1.42 cnf(11, plain, [_10799 = singleton(_10741), -(in(_10931, _10799)), _10931 = _10741], clausify(d1_tarski)).
% 0.34/1.42 cnf(12, plain, [_9077 = _9126, -(singleton(_9077) = singleton(_9126))], theory(equality)).
% 0.34/1.42 cnf(13, plain, [-(_5948 = _5948)], theory(equality)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[9 ^ [], 8 ^ []],start(6)).
% 0.34/1.42 cnf('1.1',plain,[-(9 ^ []), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ [])))],extension(1)).
% 0.34/1.42 cnf('1.1.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ [])))), in(4 ^ [], singleton(6 ^ [])), in(5 ^ [], singleton(7 ^ []))],extension(9,bind([[_11859, _11992, _11926, _12057], [4 ^ [], singleton(6 ^ []), 5 ^ [], singleton(7 ^ [])]]))).
% 0.34/1.42 cnf('1.1.1.1',plain,[-(in(4 ^ [], singleton(6 ^ []))), singleton(6 ^ []) = singleton(6 ^ []), 4 ^ [] = 6 ^ []],extension(11,bind([[_10799, _10931, _10741], [singleton(6 ^ []), 4 ^ [], 6 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.1.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(13,bind([[_5948], [singleton(6 ^ [])]]))).
% 0.34/1.42 cnf('1.1.1.1.2',plain,[-(4 ^ [] = 6 ^ []), -(9 ^ [])],extension(3)).
% 0.34/1.42 cnf('1.1.1.1.2.1',plain,[9 ^ []],reduction('1')).
% 0.34/1.42 cnf('1.1.1.2',plain,[-(in(5 ^ [], singleton(7 ^ []))), singleton(7 ^ []) = singleton(7 ^ []), 5 ^ [] = 7 ^ []],extension(11,bind([[_10799, _10931, _10741], [singleton(7 ^ []), 5 ^ [], 7 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.2.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ []))],extension(13,bind([[_5948], [singleton(7 ^ [])]]))).
% 0.34/1.42 cnf('1.1.1.2.2',plain,[-(5 ^ [] = 7 ^ []), -(9 ^ [])],extension(2)).
% 0.34/1.42 cnf('1.1.1.2.2.1',plain,[9 ^ []],reduction('1')).
% 0.34/1.42 cnf('1.2',plain,[-(8 ^ []), 4 ^ [] = 6 ^ [], 5 ^ [] = 7 ^ []],extension(4)).
% 0.34/1.42 cnf('1.2.1',plain,[-(4 ^ [] = 6 ^ []), singleton(6 ^ []) = singleton(6 ^ []), in(4 ^ [], singleton(6 ^ []))],extension(10,bind([[_10741, _10931, _10799], [6 ^ [], 4 ^ [], singleton(6 ^ [])]]))).
% 0.34/1.42 cnf('1.2.1.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ [])), 6 ^ [] = 6 ^ []],extension(12,bind([[_9077, _9126], [6 ^ [], 6 ^ []]]))).
% 0.34/1.42 cnf('1.2.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(13,bind([[_5948], [6 ^ []]]))).
% 0.34/1.42 cnf('1.2.1.2',plain,[-(in(4 ^ [], singleton(6 ^ []))), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ [])))],extension(7,bind([[_11859, _11926, _11992, _12057], [4 ^ [], 5 ^ [], singleton(6 ^ []), singleton(7 ^ [])]]))).
% 0.34/1.42 cnf('1.2.1.2.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ [])))), -(8 ^ [])],extension(5)).
% 0.34/1.42 cnf('1.2.1.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.34/1.42 cnf('1.2.2',plain,[-(5 ^ [] = 7 ^ []), singleton(7 ^ []) = singleton(7 ^ []), in(5 ^ [], singleton(7 ^ []))],extension(10,bind([[_10741, _10931, _10799], [7 ^ [], 5 ^ [], singleton(7 ^ [])]]))).
% 0.34/1.42 cnf('1.2.2.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ [])), 7 ^ [] = 7 ^ []],extension(12,bind([[_9077, _9126], [7 ^ [], 7 ^ []]]))).
% 0.34/1.42 cnf('1.2.2.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(13,bind([[_5948], [7 ^ []]]))).
% 0.34/1.42 cnf('1.2.2.2',plain,[-(in(5 ^ [], singleton(7 ^ []))), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ [])))],extension(8,bind([[_11859, _11926, _11992, _12057], [4 ^ [], 5 ^ [], singleton(6 ^ []), singleton(7 ^ [])]]))).
% 0.34/1.42 cnf('1.2.2.2.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(singleton(6 ^ []), singleton(7 ^ [])))), -(8 ^ [])],extension(5)).
% 0.34/1.42 cnf('1.2.2.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.43
% 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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