TSTP Solution File: SET606+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET606+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 02:54:39 EDT 2022
% Result : Theorem 0.41s 1.42s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET606+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n007.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 22:17:32 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.41/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.43
% 0.41/1.43 %-----------------------------------------------------
% 0.41/1.43 fof(prove_difference_into_intersection, conjecture, ! [_24269, _24272] : difference(_24269, intersection(_24269, _24272)) = difference(_24269, _24272), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_difference_into_intersection)).
% 0.41/1.43 fof(member_equal, axiom, ! [_24438, _24441] : (! [_24449] : (member(_24449, _24438) <=> member(_24449, _24441)) => _24438 = _24441), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', member_equal)).
% 0.41/1.43 fof(intersection_defn, axiom, ! [_24651, _24654, _24657] : (member(_24657, intersection(_24651, _24654)) <=> member(_24657, _24651) & member(_24657, _24654)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.41/1.43 fof(difference_defn, axiom, ! [_24864, _24867, _24870] : (member(_24870, difference(_24864, _24867)) <=> member(_24870, _24864) & ~ member(_24870, _24867)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 0.41/1.43
% 0.41/1.43 cnf(1, plain, [difference(4 ^ [], intersection(4 ^ [], 5 ^ [])) = difference(4 ^ [], 5 ^ [])], clausify(prove_difference_into_intersection)).
% 0.41/1.43 cnf(2, plain, [-(_9503 = _9559), member(1 ^ [_9559, _9503], _9503), member(1 ^ [_9559, _9503], _9559)], clausify(member_equal)).
% 0.41/1.43 cnf(3, plain, [-(_9503 = _9559), -(member(1 ^ [_9559, _9503], _9503)), -(member(1 ^ [_9559, _9503], _9559))], clausify(member_equal)).
% 0.41/1.43 cnf(4, plain, [member(_10081, intersection(_9964, _10023)), -(member(_10081, _10023))], clausify(intersection_defn)).
% 0.41/1.43 cnf(5, plain, [-(member(_10081, intersection(_9964, _10023))), member(_10081, _9964), member(_10081, _10023)], clausify(intersection_defn)).
% 0.41/1.43 cnf(6, plain, [member(_10598, difference(_10477, _10538)), -(member(_10598, _10477))], clausify(difference_defn)).
% 0.41/1.43 cnf(7, plain, [member(_10598, difference(_10477, _10538)), member(_10598, _10538)], clausify(difference_defn)).
% 0.41/1.43 cnf(8, plain, [-(member(_10598, difference(_10477, _10538))), member(_10598, _10477), -(member(_10598, _10538))], clausify(difference_defn)).
% 0.41/1.43
% 0.41/1.43 cnf('1',plain,[member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ [])],start(7,bind([[_10477, _10598, _10538], [4 ^ [], 1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 0.41/1.43 cnf('1.1',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))), -(difference(4 ^ [], intersection(4 ^ [], 5 ^ [])) = difference(4 ^ [], 5 ^ [])), -(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ []))))],extension(3,bind([[_9559, _9503], [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 0.41/1.43 cnf('1.1.1',plain,[difference(4 ^ [], intersection(4 ^ [], 5 ^ [])) = difference(4 ^ [], 5 ^ [])],extension(1)).
% 0.41/1.43 cnf('1.1.2',plain,[member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ []))), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ []))],extension(7,bind([[_10477, _10598, _10538], [4 ^ [], 1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 0.41/1.43 cnf('1.1.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ []))), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ [])],extension(5,bind([[_9964, _10081, _10023], [4 ^ [], 1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 0.41/1.43 cnf('1.1.2.1.1',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [])), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(6,bind([[_10598, _10477, _10538], [1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.41/1.43 cnf('1.1.2.1.1.1',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ []))))],reduction('1.1')).
% 0.41/1.43 cnf('1.1.2.1.2',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ [])), -(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [])],extension(8,bind([[_10538, _10598, _10477], [5 ^ [], 1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 0.41/1.43 cnf('1.1.2.1.2.1',plain,[member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],reduction('1')).
% 0.41/1.43 cnf('1.1.2.1.2.2',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []))],lemmata('1.1.2.1')).
% 0.41/1.43 cnf('1.2',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ [])), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ []))],extension(4,bind([[_10081, _9964, _10023], [1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 0.41/1.43 cnf('1.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ [])))), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [])],extension(8,bind([[_10538, _10598, _10477], [intersection(4 ^ [], 5 ^ []), 1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 0.41/1.43 cnf('1.2.1.1',plain,[member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ []))), -(difference(4 ^ [], intersection(4 ^ [], 5 ^ [])) = difference(4 ^ [], 5 ^ [])), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],extension(2,bind([[_9503, _9559], [difference(4 ^ [], intersection(4 ^ [], 5 ^ [])), difference(4 ^ [], 5 ^ [])]]))).
% 0.41/1.43 cnf('1.2.1.1.1',plain,[difference(4 ^ [], intersection(4 ^ [], 5 ^ [])) = difference(4 ^ [], 5 ^ [])],extension(1)).
% 0.41/1.43 cnf('1.2.1.1.2',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],lemmata('1')).
% 0.41/1.43 cnf('1.2.1.2',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [])), member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],extension(6,bind([[_10598, _10477, _10538], [1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 0.41/1.43 cnf('1.2.1.2.1',plain,[-(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))), -(difference(4 ^ [], intersection(4 ^ [], 5 ^ [])) = difference(4 ^ [], 5 ^ [])), -(member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ []))))],extension(3,bind([[_9559, _9503], [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 0.41/1.43 cnf('1.2.1.2.1.1',plain,[difference(4 ^ [], intersection(4 ^ [], 5 ^ [])) = difference(4 ^ [], 5 ^ [])],extension(1)).
% 0.41/1.43 cnf('1.2.1.2.1.2',plain,[member(1 ^ [difference(4 ^ [], 5 ^ []), difference(4 ^ [], intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], intersection(4 ^ [], 5 ^ [])))],lemmata('1.2.1')).
% 0.41/1.43 %-----------------------------------------------------
% 0.41/1.44
% 0.41/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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