TSTP Solution File: SET620+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET620+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 02:54:50 EDT 2022
% Result : Theorem 178.50s 172.40s
% Output : Proof 178.58s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SET620+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.07 % Command : leancop_casc.sh %s %d
% 0.06/0.25 % Computer : n026.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Mon Jul 11 06:04:12 EDT 2022
% 0.06/0.25 % CPUTime :
% 178.50/172.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 178.58/172.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 178.58/172.42
% 178.58/172.42 %-----------------------------------------------------
% 178.58/172.42 fof(prove_th96, conjecture, ! [_31723, _31726] : symmetric_difference(_31723, _31726) = difference(union(_31723, _31726), intersection(_31723, _31726)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th96)).
% 178.58/172.42 fof(symmetric_difference_defn, axiom, ! [_31965, _31968] : symmetric_difference(_31965, _31968) = union(difference(_31965, _31968), difference(_31968, _31965)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetric_difference_defn)).
% 178.58/172.42 fof(difference_into_intersection, axiom, ! [_32143, _32146] : difference(_32143, intersection(_32143, _32146)) = difference(_32143, _32146), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_into_intersection)).
% 178.58/172.42 fof(difference_distributes_over_union, axiom, ! [_32305, _32308, _32311] : difference(union(_32305, _32308), _32311) = union(difference(_32305, _32311), difference(_32308, _32311)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_distributes_over_union)).
% 178.58/172.42 fof(commutativity_of_intersection, axiom, ! [_32519, _32522] : intersection(_32519, _32522) = intersection(_32522, _32519), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_of_intersection)).
% 178.58/172.42
% 178.58/172.42 cnf(1, plain, [symmetric_difference(11 ^ [], 12 ^ []) = difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))], clausify(prove_th96)).
% 178.58/172.42 cnf(2, plain, [-(difference(_10030, _10163) = difference(_10097, _10228)), _10030 = _10097, _10163 = _10228], theory(equality)).
% 178.58/172.42 cnf(3, plain, [-(union(_11892, _12025) = union(_11959, _12090)), _11892 = _11959, _12025 = _12090], theory(equality)).
% 178.58/172.42 cnf(4, plain, [-(_7854 = _7854)], theory(equality)).
% 178.58/172.42 cnf(5, plain, [_8007 = _8052, -(_8052 = _8007)], theory(equality)).
% 178.58/172.42 cnf(6, plain, [-(_8286 = _8397), _8286 = _8342, _8342 = _8397], theory(equality)).
% 178.58/172.42 cnf(7, plain, [-(symmetric_difference(_12597, _12648) = union(difference(_12597, _12648), difference(_12648, _12597)))], clausify(symmetric_difference_defn)).
% 178.58/172.42 cnf(8, plain, [-(difference(_12993, intersection(_12993, _13041)) = difference(_12993, _13041))], clausify(difference_into_intersection)).
% 178.58/172.42 cnf(9, plain, [-(difference(union(_13346, _13405), _13463) = union(difference(_13346, _13463), difference(_13405, _13463)))], clausify(difference_distributes_over_union)).
% 178.58/172.42 cnf(10, plain, [-(intersection(_16126, _16171) = intersection(_16171, _16126))], clausify(commutativity_of_intersection)).
% 178.58/172.42
% 178.58/172.42 cnf('1',plain,[symmetric_difference(11 ^ [], 12 ^ []) = difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))],start(1)).
% 178.58/172.42 cnf('1.1',plain,[-(symmetric_difference(11 ^ [], 12 ^ []) = difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))), symmetric_difference(11 ^ [], 12 ^ []) = union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))],extension(6,bind([[_8286, _8342, _8397], [symmetric_difference(11 ^ [], 12 ^ []), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))), difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))]]))).
% 178.58/172.42 cnf('1.1.1',plain,[-(symmetric_difference(11 ^ [], 12 ^ []) = union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ [])))), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = symmetric_difference(11 ^ [], 12 ^ [])],extension(5,bind([[_8007, _8052], [union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))), symmetric_difference(11 ^ [], 12 ^ [])]]))).
% 178.58/172.42 cnf('1.1.1.1',plain,[-(union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = symmetric_difference(11 ^ [], 12 ^ [])), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ [])), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ [])) = symmetric_difference(11 ^ [], 12 ^ [])],extension(6,bind([[_8286, _8342, _8397], [union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ [])), symmetric_difference(11 ^ [], 12 ^ [])]]))).
% 178.58/172.42 cnf('1.1.1.1.1',plain,[-(union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ []))), difference(11 ^ [], 12 ^ []) = difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ [])) = difference(12 ^ [], 11 ^ [])],extension(3,bind([[_11892, _11959, _12025, _12090], [difference(11 ^ [], 12 ^ []), difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ [])), difference(12 ^ [], 11 ^ [])]]))).
% 178.58/172.42 cnf('1.1.1.1.1.1',plain,[-(difference(11 ^ [], 12 ^ []) = difference(11 ^ [], 12 ^ []))],extension(4,bind([[_7854], [difference(11 ^ [], 12 ^ [])]]))).
% 178.58/172.42 cnf('1.1.1.1.1.2',plain,[-(difference(12 ^ [], intersection(12 ^ [], 11 ^ [])) = difference(12 ^ [], 11 ^ []))],extension(8,bind([[_12993, _13041], [12 ^ [], 11 ^ []]]))).
% 178.58/172.42 cnf('1.1.1.1.2',plain,[-(union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ [])) = symmetric_difference(11 ^ [], 12 ^ [])), symmetric_difference(11 ^ [], 12 ^ []) = union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ []))],extension(5,bind([[_8007, _8052], [symmetric_difference(11 ^ [], 12 ^ []), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ []))]]))).
% 178.58/172.42 cnf('1.1.1.1.2.1',plain,[-(symmetric_difference(11 ^ [], 12 ^ []) = union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], 11 ^ [])))],extension(7,bind([[_12648, _12597], [12 ^ [], 11 ^ []]]))).
% 178.58/172.42 cnf('1.1.2',plain,[-(union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))), union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))), union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))) = difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))],extension(6,bind([[_8286, _8342, _8397], [union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))), union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))), difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))]]))).
% 178.58/172.42 cnf('1.1.2.1',plain,[-(union(difference(11 ^ [], 12 ^ []), difference(12 ^ [], intersection(12 ^ [], 11 ^ []))) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ [])))), difference(11 ^ [], 12 ^ []) = difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(12 ^ [], 11 ^ [])) = difference(12 ^ [], intersection(11 ^ [], 12 ^ []))],extension(3,bind([[_11892, _11959, _12025, _12090], [difference(11 ^ [], 12 ^ []), difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(12 ^ [], 11 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))]]))).
% 178.58/172.42 cnf('1.1.2.1.1',plain,[-(difference(11 ^ [], 12 ^ []) = difference(11 ^ [], intersection(11 ^ [], 12 ^ []))), difference(11 ^ [], intersection(11 ^ [], 12 ^ [])) = difference(11 ^ [], 12 ^ [])],extension(5,bind([[_8007, _8052], [difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(11 ^ [], 12 ^ [])]]))).
% 178.58/172.42 cnf('1.1.2.1.1.1',plain,[-(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])) = difference(11 ^ [], 12 ^ []))],extension(8,bind([[_12993, _13041], [11 ^ [], 12 ^ []]]))).
% 178.58/172.42 cnf('1.1.2.1.2',plain,[-(difference(12 ^ [], intersection(12 ^ [], 11 ^ [])) = difference(12 ^ [], intersection(11 ^ [], 12 ^ []))), 12 ^ [] = 12 ^ [], intersection(12 ^ [], 11 ^ []) = intersection(11 ^ [], 12 ^ [])],extension(2,bind([[_10030, _10097, _10163, _10228], [12 ^ [], 12 ^ [], intersection(12 ^ [], 11 ^ []), intersection(11 ^ [], 12 ^ [])]]))).
% 178.58/172.42 cnf('1.1.2.1.2.1',plain,[-(12 ^ [] = 12 ^ [])],extension(4,bind([[_7854], [12 ^ []]]))).
% 178.58/172.42 cnf('1.1.2.1.2.2',plain,[-(intersection(12 ^ [], 11 ^ []) = intersection(11 ^ [], 12 ^ []))],extension(10,bind([[_16171, _16126], [11 ^ [], 12 ^ []]]))).
% 178.58/172.42 cnf('1.1.2.2',plain,[-(union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))) = difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ []))), difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ [])) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ [])))],extension(5,bind([[_8007, _8052], [difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ [])), union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ [])))]]))).
% 178.58/172.42 cnf('1.1.2.2.1',plain,[-(difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ [])) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ [])))), difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ [])) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))), union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ [])))],extension(6,bind([[_8286, _8342, _8397], [difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ [])), union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))), union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ [])))]]))).
% 178.58/172.42 cnf('1.1.2.2.1.1',plain,[-(difference(union(11 ^ [], 12 ^ []), intersection(11 ^ [], 12 ^ [])) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))))],extension(9,bind([[_13346, _13405, _13463], [11 ^ [], 12 ^ [], intersection(11 ^ [], 12 ^ [])]]))).
% 178.58/172.42 cnf('1.1.2.2.1.2',plain,[-(union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))) = union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ []))))],extension(4,bind([[_7854], [union(difference(11 ^ [], intersection(11 ^ [], 12 ^ [])), difference(12 ^ [], intersection(11 ^ [], 12 ^ [])))]]))).
% 178.58/172.42 %-----------------------------------------------------
% 178.58/172.43
% 178.58/172.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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