TSTP Solution File: SET009+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 02:49:47 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
% 0.03/0.12 % Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n011.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 09:51:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.32/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.42
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42 fof(prove_subset_difference, conjecture, ! [_9845, _9848, _9851] : (subset(_9845, _9848) => subset(difference(_9851, _9848), difference(_9851, _9845))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_subset_difference)).
% 0.32/1.42 fof(difference_defn, axiom, ! [_10045, _10048, _10051] : (member(_10051, difference(_10045, _10048)) <=> member(_10051, _10045) & ~ member(_10051, _10048)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.32/1.42 fof(subset_defn, axiom, ! [_10278, _10281] : (subset(_10278, _10281) <=> ! [_10299] : (member(_10299, _10278) => member(_10299, _10281))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.32/1.42
% 0.32/1.42 cnf(1, plain, [-(subset(2 ^ [], 3 ^ []))], clausify(prove_subset_difference)).
% 0.32/1.42 cnf(2, plain, [subset(difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ []))], clausify(prove_subset_difference)).
% 0.32/1.42 cnf(3, plain, [member(_3580, difference(_3459, _3520)), -(member(_3580, _3459))], clausify(difference_defn)).
% 0.32/1.42 cnf(4, plain, [member(_3580, difference(_3459, _3520)), member(_3580, _3520)], clausify(difference_defn)).
% 0.32/1.42 cnf(5, plain, [-(member(_3580, difference(_3459, _3520))), member(_3580, _3459), -(member(_3580, _3520))], clausify(difference_defn)).
% 0.32/1.42 cnf(6, plain, [-(subset(_3994, _4050)), -(member(1 ^ [_4050, _3994], _3994))], clausify(subset_defn)).
% 0.32/1.42 cnf(7, plain, [-(subset(_3994, _4050)), member(1 ^ [_4050, _3994], _4050)], clausify(subset_defn)).
% 0.32/1.42 cnf(8, plain, [subset(_3994, _4050), member(_4164, _3994), -(member(_4164, _4050))], clausify(subset_defn)).
% 0.32/1.42
% 0.32/1.42 cnf('1',plain,[subset(difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ []))],start(2)).
% 0.32/1.42 cnf('1.1',plain,[-(subset(difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ []))), member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], difference(4 ^ [], 2 ^ []))],extension(7,bind([[_3994, _4050], [difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ [])]]))).
% 0.32/1.42 cnf('1.1.1',plain,[-(member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], difference(4 ^ [], 2 ^ []))), member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 4 ^ []), -(member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 2 ^ []))],extension(5,bind([[_3459, _3580, _3520], [4 ^ [], 1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 2 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1',plain,[-(member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 4 ^ [])), member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], difference(4 ^ [], 3 ^ []))],extension(3,bind([[_3580, _3459, _3520], [1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 4 ^ [], 3 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1.1',plain,[-(member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], difference(4 ^ [], 3 ^ []))), -(subset(difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ [])))],extension(6,bind([[_3994, _4050], [difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ [])]]))).
% 0.32/1.42 cnf('1.1.1.1.1.1',plain,[subset(difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 cnf('1.1.1.2',plain,[member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 2 ^ []), subset(2 ^ [], 3 ^ []), -(member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 3 ^ []))],extension(8,bind([[_3994, _4164, _4050], [2 ^ [], 1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 3 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.2.1',plain,[-(subset(2 ^ [], 3 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.1.2.2',plain,[member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 3 ^ []), member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], difference(4 ^ [], 3 ^ []))],extension(4,bind([[_3580, _3459, _3520], [1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], 4 ^ [], 3 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.2.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 2 ^ []), difference(4 ^ [], 3 ^ [])], difference(4 ^ [], 3 ^ []))), -(subset(difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ [])))],extension(6,bind([[_3994, _4050], [difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ [])]]))).
% 0.32/1.42 cnf('1.1.1.2.2.1.1',plain,[subset(difference(4 ^ [], 3 ^ []), difference(4 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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