TSTP Solution File: SET962+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 02:57:21 EDT 2022
% Result : Theorem 112.82s 109.87s
% Output : Proof 112.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n020.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 : Sat Jul 9 18:42:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 112.82/109.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.89/109.88 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.89/109.88
% 112.89/109.88 %-----------------------------------------------------
% 112.89/109.88 fof(t115_zfmisc_1, conjecture, ! [_25621, _25624] : (cartesian_product2(_25621, _25621) = cartesian_product2(_25624, _25624) => _25621 = _25624), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t115_zfmisc_1)).
% 112.89/109.88 fof(t2_tarski, axiom, ! [_25808, _25811] : (! [_25819] : (in(_25819, _25808) <=> in(_25819, _25811)) => _25808 = _25811), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_tarski)).
% 112.89/109.88 fof(l55_zfmisc_1, axiom, ! [_26020, _26023, _26026, _26029] : (in(ordered_pair(_26020, _26023), cartesian_product2(_26026, _26029)) <=> in(_26020, _26026) & in(_26023, _26029)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 112.89/109.88
% 112.89/109.88 cnf(1, plain, [-(cartesian_product2(4 ^ [], 4 ^ []) = cartesian_product2(5 ^ [], 5 ^ []))], clausify(t115_zfmisc_1)).
% 112.89/109.88 cnf(2, plain, [4 ^ [] = 5 ^ []], clausify(t115_zfmisc_1)).
% 112.89/109.88 cnf(3, plain, [-(_12059 = _12115), in(3 ^ [_12115, _12059], _12059), in(3 ^ [_12115, _12059], _12115)], clausify(t2_tarski)).
% 112.89/109.88 cnf(4, plain, [-(_12059 = _12115), -(in(3 ^ [_12115, _12059], _12059)), -(in(3 ^ [_12115, _12059], _12115))], clausify(t2_tarski)).
% 112.89/109.88 cnf(5, plain, [in(ordered_pair(_11100, _11167), cartesian_product2(_11233, _11298)), -(in(_11100, _11233))], clausify(l55_zfmisc_1)).
% 112.89/109.88 cnf(6, plain, [in(ordered_pair(_11100, _11167), cartesian_product2(_11233, _11298)), -(in(_11167, _11298))], clausify(l55_zfmisc_1)).
% 112.89/109.88 cnf(7, plain, [-(in(ordered_pair(_11100, _11167), cartesian_product2(_11233, _11298))), in(_11100, _11233), in(_11167, _11298)], clausify(l55_zfmisc_1)).
% 112.89/109.88 cnf(8, plain, [-(_5670 = _5670)], theory(equality)).
% 112.89/109.88 cnf(9, plain, [_5823 = _5868, -(_5868 = _5823)], theory(equality)).
% 112.89/109.88 cnf(10, plain, [-(in(_6964, _7095)), in(_6897, _7030), _6897 = _6964, _7030 = _7095], theory(equality)).
% 112.89/109.88
% 112.89/109.88 cnf('1',plain,[4 ^ [] = 5 ^ []],start(2)).
% 112.89/109.88 cnf('1.1',plain,[-(4 ^ [] = 5 ^ []), in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []), in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])],extension(3,bind([[_12059, _12115], [4 ^ [], 5 ^ []]]))).
% 112.89/109.88 cnf('1.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(4 ^ [] = 5 ^ []), -(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(4,bind([[_12059, _12115], [4 ^ [], 5 ^ []]]))).
% 112.89/109.88 cnf('1.1.1.1',plain,[4 ^ [] = 5 ^ []],extension(2)).
% 112.89/109.88 cnf('1.1.1.2',plain,[in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []])), cartesian_product2(5 ^ [], cartesian_product2(4 ^ [], 4 ^ [])))), in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ []))],extension(7,bind([[_11100, _11233, _11167, _11298], [3 ^ [5 ^ [], 4 ^ []], 5 ^ [], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ [])]]))).
% 112.89/109.88 cnf('1.1.1.2.1',plain,[in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []])), cartesian_product2(5 ^ [], cartesian_product2(4 ^ [], 4 ^ []))), -(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ [])))],extension(6,bind([[_11100, _11233, _11167, _11298], [3 ^ [5 ^ [], 4 ^ []], 5 ^ [], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ [])]]))).
% 112.89/109.88 cnf('1.1.1.2.1.1',plain,[in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ [])), -(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(5,bind([[_11167, _11298, _11100, _11233], [3 ^ [5 ^ [], 4 ^ []], 4 ^ [], 3 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 112.89/109.88 cnf('1.1.1.2.1.1.1',plain,[in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])],reduction('1.1')).
% 112.89/109.88 cnf('1.1.1.2.2',plain,[-(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ []))), in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ [])), ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]) = ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ []) = cartesian_product2(4 ^ [], 4 ^ [])],extension(10,bind([[_6897, _6964, _7030, _7095], [ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 4 ^ [])]]))).
% 112.89/109.88 cnf('1.1.1.2.2.1',plain,[-(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ []))), in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []), in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])],extension(7,bind([[_11100, _11233, _11167, _11298], [3 ^ [5 ^ [], 4 ^ []], 5 ^ [], 3 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 112.89/109.88 cnf('1.1.1.2.2.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []))],reduction('1.1.1')).
% 112.89/109.88 cnf('1.1.1.2.2.1.2',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []))],lemmata('1.1.1.2.2.1')).
% 112.89/109.88 cnf('1.1.1.2.2.2',plain,[-(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]) = ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]))],extension(8,bind([[_5670], [ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []])]]))).
% 112.89/109.88 cnf('1.1.1.2.2.3',plain,[-(cartesian_product2(5 ^ [], 5 ^ []) = cartesian_product2(4 ^ [], 4 ^ [])), cartesian_product2(4 ^ [], 4 ^ []) = cartesian_product2(5 ^ [], 5 ^ [])],extension(9,bind([[_5823, _5868], [cartesian_product2(4 ^ [], 4 ^ []), cartesian_product2(5 ^ [], 5 ^ [])]]))).
% 112.89/109.88 cnf('1.1.1.2.2.3.1',plain,[-(cartesian_product2(4 ^ [], 4 ^ []) = cartesian_product2(5 ^ [], 5 ^ []))],extension(1)).
% 112.89/109.88 cnf('1.1.2',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])), -(4 ^ [] = 5 ^ []), -(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(4,bind([[_12115, _12059], [5 ^ [], 4 ^ []]]))).
% 112.89/109.88 cnf('1.1.2.1',plain,[4 ^ [] = 5 ^ []],extension(2)).
% 112.89/109.88 cnf('1.1.2.2',plain,[in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []), -(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []])), cartesian_product2(4 ^ [], cartesian_product2(5 ^ [], 5 ^ [])))), in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ []))],extension(7,bind([[_11100, _11233, _11167, _11298], [3 ^ [5 ^ [], 4 ^ []], 4 ^ [], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ [])]]))).
% 112.89/109.88 cnf('1.1.2.2.1',plain,[in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []])), cartesian_product2(4 ^ [], cartesian_product2(5 ^ [], 5 ^ []))), -(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ [])))],extension(6,bind([[_11100, _11233, _11167, _11298], [3 ^ [5 ^ [], 4 ^ []], 4 ^ [], ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ [])]]))).
% 112.89/109.88 cnf('1.1.2.2.1.1',plain,[in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ [])), -(in(3 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(5,bind([[_11167, _11298, _11100, _11233], [3 ^ [5 ^ [], 4 ^ []], 5 ^ [], 3 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 112.89/109.88 cnf('1.1.2.2.1.1.1',plain,[in(3 ^ [5 ^ [], 4 ^ []], 5 ^ [])],reduction('1.1')).
% 112.89/109.88 cnf('1.1.2.2.2',plain,[-(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(5 ^ [], 5 ^ []))), in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ [])), ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]) = ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ []) = cartesian_product2(5 ^ [], 5 ^ [])],extension(10,bind([[_6897, _6964, _7030, _7095], [ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ []), cartesian_product2(5 ^ [], 5 ^ [])]]))).
% 112.89/109.88 cnf('1.1.2.2.2.1',plain,[-(in(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]), cartesian_product2(4 ^ [], 4 ^ []))), in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []), in(3 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(7,bind([[_11100, _11233, _11167, _11298], [3 ^ [5 ^ [], 4 ^ []], 4 ^ [], 3 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 112.89/109.88 cnf('1.1.2.2.2.1.1',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.1')).
% 112.89/109.88 cnf('1.1.2.2.2.1.2',plain,[-(in(3 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.1.2.2.2.1')).
% 112.89/109.88 cnf('1.1.2.2.2.2',plain,[-(ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]) = ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []]))],extension(8,bind([[_5670], [ordered_pair(3 ^ [5 ^ [], 4 ^ []], 3 ^ [5 ^ [], 4 ^ []])]]))).
% 112.89/109.88 cnf('1.1.2.2.2.3',plain,[-(cartesian_product2(4 ^ [], 4 ^ []) = cartesian_product2(5 ^ [], 5 ^ []))],extension(1)).
% 112.89/109.88 %-----------------------------------------------------
% 112.89/109.89
% 112.89/109.89 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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