TSTP Solution File: SET588+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% 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 02:54:26 EDT 2022
% Result : Theorem 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n019.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 21:03:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(prove_difference_subset1, conjecture, ! [_9848, _9851, _9854] : (subset(_9848, _9851) => subset(difference(_9848, _9854), difference(_9851, _9854))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_difference_subset1)).
% 0.36/1.41 fof(difference_defn, axiom, ! [_10048, _10051, _10054] : (member(_10054, difference(_10048, _10051)) <=> member(_10054, _10048) & ~ member(_10054, _10051)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.36/1.41 fof(subset_defn, axiom, ! [_10281, _10284] : (subset(_10281, _10284) <=> ! [_10302] : (member(_10302, _10281) => member(_10302, _10284))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(subset(2 ^ [], 3 ^ []))], clausify(prove_difference_subset1)).
% 0.36/1.41 cnf(2, plain, [subset(difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], clausify(prove_difference_subset1)).
% 0.36/1.41 cnf(3, plain, [member(_3580, difference(_3459, _3520)), -(member(_3580, _3459))], clausify(difference_defn)).
% 0.36/1.41 cnf(4, plain, [member(_3580, difference(_3459, _3520)), member(_3580, _3520)], clausify(difference_defn)).
% 0.36/1.41 cnf(5, plain, [-(member(_3580, difference(_3459, _3520))), member(_3580, _3459), -(member(_3580, _3520))], clausify(difference_defn)).
% 0.36/1.41 cnf(6, plain, [-(subset(_3994, _4050)), -(member(1 ^ [_4050, _3994], _3994))], clausify(subset_defn)).
% 0.36/1.41 cnf(7, plain, [-(subset(_3994, _4050)), member(1 ^ [_4050, _3994], _4050)], clausify(subset_defn)).
% 0.36/1.41 cnf(8, plain, [subset(_3994, _4050), member(_4164, _3994), -(member(_4164, _4050))], clausify(subset_defn)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[subset(difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))],start(2)).
% 0.36/1.41 cnf('1.1',plain,[-(subset(difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))), member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))],extension(7,bind([[_3994, _4050], [difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))), member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 3 ^ []), -(member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 4 ^ []))],extension(5,bind([[_3459, _3580, _3520], [3 ^ [], 1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 3 ^ [])), subset(2 ^ [], 3 ^ []), member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 2 ^ [])],extension(8,bind([[_4050, _4164, _3994], [3 ^ [], 1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.1.1',plain,[-(subset(2 ^ [], 3 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.1.1.2',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 2 ^ [])), member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], difference(2 ^ [], 4 ^ []))],extension(3,bind([[_3580, _3459, _3520], [1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 2 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], difference(2 ^ [], 4 ^ []))), -(subset(difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))],extension(6,bind([[_3994, _4050], [difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1.1.2.1.1',plain,[subset(difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))],extension(2)).
% 0.36/1.41 cnf('1.1.1.2',plain,[member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 4 ^ []), member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], difference(2 ^ [], 4 ^ []))],extension(4,bind([[_3580, _3459, _3520], [1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], 2 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.2.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), difference(2 ^ [], 4 ^ [])], difference(2 ^ [], 4 ^ []))), -(subset(difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))],extension(6,bind([[_3994, _4050], [difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1.2.1.1',plain,[subset(difference(2 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))],extension(2)).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41
% 0.36/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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