TSTP Solution File: SET950+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET950+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 02:57:17 EDT 2022
% Result : Theorem 0.32s 1.41s
% Output : Proof 0.32s
% 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 : SET950+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n019.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 : Sun Jul 10 03:17:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.32/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.43
% 0.32/1.43 %-----------------------------------------------------
% 0.32/1.43 fof(t103_zfmisc_1, conjecture, ! [_27167, _27170, _27173, _27176] : ~ (subset(_27167, cartesian_product2(_27170, _27173)) & in(_27176, _27167) & ! [_27213, _27216] : ~ (in(_27213, _27170) & in(_27216, _27173) & _27176 = ordered_pair(_27213, _27216))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t103_zfmisc_1)).
% 0.32/1.43 fof(d3_tarski, axiom, ! [_27533, _27536] : (subset(_27533, _27536) <=> ! [_27554] : (in(_27554, _27533) => in(_27554, _27536))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.32/1.43 fof(d2_zfmisc_1, axiom, ! [_27737, _27740, _27743] : (_27743 = cartesian_product2(_27737, _27740) <=> ! [_27764] : (in(_27764, _27743) <=> ? [_27782, _27785] : (in(_27782, _27737) & in(_27785, _27740) & _27764 = ordered_pair(_27782, _27785)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_zfmisc_1)).
% 0.32/1.43
% 0.32/1.43 cnf(1, plain, [-(subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])))], clausify(t103_zfmisc_1)).
% 0.32/1.43 cnf(2, plain, [-(in(12 ^ [], 9 ^ []))], clausify(t103_zfmisc_1)).
% 0.32/1.43 cnf(3, plain, [in(_19048, 10 ^ []), in(_19053, 11 ^ []), 12 ^ [] = ordered_pair(_19048, _19053)], clausify(t103_zfmisc_1)).
% 0.32/1.43 cnf(4, plain, [subset(_13103, _13159), in(_13273, _13103), -(in(_13273, _13159))], clausify(d3_tarski)).
% 0.32/1.43 cnf(5, plain, [_12253 = cartesian_product2(_12076, _12165), in(_12436, _12253), -(in(1 ^ [_12436, _12253, _12165, _12076], _12076))], clausify(d2_zfmisc_1)).
% 0.32/1.43 cnf(6, plain, [_12253 = cartesian_product2(_12076, _12165), in(_12436, _12253), -(in(2 ^ [_12436, _12253, _12165, _12076], _12165))], clausify(d2_zfmisc_1)).
% 0.32/1.43 cnf(7, plain, [_12253 = cartesian_product2(_12076, _12165), in(_12436, _12253), -(_12436 = ordered_pair(1 ^ [_12436, _12253, _12165, _12076], 2 ^ [_12436, _12253, _12165, _12076]))], clausify(d2_zfmisc_1)).
% 0.32/1.43 cnf(8, plain, [-(_6644 = _6644)], theory(equality)).
% 0.32/1.43
% 0.32/1.43 cnf('1',plain,[in(1 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []], 10 ^ []), in(2 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []], 11 ^ []), 12 ^ [] = ordered_pair(1 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []], 2 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []])],start(3,bind([[_19048, _19053], [1 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []], 2 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []]]]))).
% 0.32/1.43 cnf('1.1',plain,[-(in(1 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []], 10 ^ [])), cartesian_product2(10 ^ [], 11 ^ []) = cartesian_product2(10 ^ [], 11 ^ []), in(12 ^ [], cartesian_product2(10 ^ [], 11 ^ []))],extension(5,bind([[_12076, _12165, _12436, _12253], [10 ^ [], 11 ^ [], 12 ^ [], cartesian_product2(10 ^ [], 11 ^ [])]]))).
% 0.32/1.43 cnf('1.1.1',plain,[-(cartesian_product2(10 ^ [], 11 ^ []) = cartesian_product2(10 ^ [], 11 ^ []))],extension(8,bind([[_6644], [cartesian_product2(10 ^ [], 11 ^ [])]]))).
% 0.32/1.43 cnf('1.1.2',plain,[-(in(12 ^ [], cartesian_product2(10 ^ [], 11 ^ []))), subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])), in(12 ^ [], 9 ^ [])],extension(4,bind([[_13159, _13273, _13103], [cartesian_product2(10 ^ [], 11 ^ []), 12 ^ [], 9 ^ []]]))).
% 0.32/1.43 cnf('1.1.2.1',plain,[-(subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])))],extension(1)).
% 0.32/1.43 cnf('1.1.2.2',plain,[-(in(12 ^ [], 9 ^ []))],extension(2)).
% 0.32/1.43 cnf('1.2',plain,[-(in(2 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []], 11 ^ [])), cartesian_product2(10 ^ [], 11 ^ []) = cartesian_product2(10 ^ [], 11 ^ []), in(12 ^ [], cartesian_product2(10 ^ [], 11 ^ []))],extension(6,bind([[_12076, _12165, _12436, _12253], [10 ^ [], 11 ^ [], 12 ^ [], cartesian_product2(10 ^ [], 11 ^ [])]]))).
% 0.32/1.43 cnf('1.2.1',plain,[-(cartesian_product2(10 ^ [], 11 ^ []) = cartesian_product2(10 ^ [], 11 ^ []))],extension(8,bind([[_6644], [cartesian_product2(10 ^ [], 11 ^ [])]]))).
% 0.32/1.43 cnf('1.2.2',plain,[-(in(12 ^ [], cartesian_product2(10 ^ [], 11 ^ []))), subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])), in(12 ^ [], 9 ^ [])],extension(4,bind([[_13159, _13273, _13103], [cartesian_product2(10 ^ [], 11 ^ []), 12 ^ [], 9 ^ []]]))).
% 0.32/1.43 cnf('1.2.2.1',plain,[-(subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])))],extension(1)).
% 0.32/1.43 cnf('1.2.2.2',plain,[-(in(12 ^ [], 9 ^ []))],extension(2)).
% 0.32/1.43 cnf('1.3',plain,[-(12 ^ [] = ordered_pair(1 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []], 2 ^ [12 ^ [], cartesian_product2(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []])), cartesian_product2(10 ^ [], 11 ^ []) = cartesian_product2(10 ^ [], 11 ^ []), in(12 ^ [], cartesian_product2(10 ^ [], 11 ^ []))],extension(7,bind([[_12076, _12165, _12436, _12253], [10 ^ [], 11 ^ [], 12 ^ [], cartesian_product2(10 ^ [], 11 ^ [])]]))).
% 0.32/1.43 cnf('1.3.1',plain,[-(cartesian_product2(10 ^ [], 11 ^ []) = cartesian_product2(10 ^ [], 11 ^ []))],extension(8,bind([[_6644], [cartesian_product2(10 ^ [], 11 ^ [])]]))).
% 0.32/1.43 cnf('1.3.2',plain,[-(in(12 ^ [], cartesian_product2(10 ^ [], 11 ^ []))), subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])), in(12 ^ [], 9 ^ [])],extension(4,bind([[_13159, _13273, _13103], [cartesian_product2(10 ^ [], 11 ^ []), 12 ^ [], 9 ^ []]]))).
% 0.32/1.43 cnf('1.3.2.1',plain,[-(subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])))],extension(1)).
% 0.32/1.43 cnf('1.3.2.2',plain,[-(in(12 ^ [], 9 ^ []))],extension(2)).
% 0.32/1.43 %-----------------------------------------------------
% 0.32/1.43
% 0.32/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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