TSTP Solution File: SET630+3 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET630+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 02:54:58 EDT 2022
% Result : Theorem 7.33s 7.60s
% Output : Proof 7.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET630+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n024.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 : Sun Jul 10 19:04:58 EDT 2022
% 0.19/0.34 % CPUTime :
% 7.33/7.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.33/7.61 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.33/7.61
% 7.33/7.61 %-----------------------------------------------------
% 7.33/7.61 fof(prove_intersection_and_symmetric_difference_disjoint, conjecture, ! [_28772, _28775] : disjoint(intersection(_28772, _28775), symmetric_difference(_28772, _28775)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_and_symmetric_difference_disjoint)).
% 7.33/7.61 fof(symmetric_difference_defn, axiom, ! [_28987, _28990] : symmetric_difference(_28987, _28990) = union(difference(_28987, _28990), difference(_28990, _28987)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetric_difference_defn)).
% 7.33/7.61 fof(intersect_with_union, axiom, ! [_29167, _29170, _29173] : (intersect(_29167, union(_29170, _29173)) <=> intersect(_29167, _29170) | intersect(_29167, _29173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_with_union)).
% 7.33/7.61 fof(intersection_and_union_disjoint, axiom, ! [_29368, _29371] : disjoint(intersection(_29368, _29371), difference(_29368, _29371)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_and_union_disjoint)).
% 7.33/7.61 fof(disjoint_defn, axiom, ! [_29524, _29527] : (disjoint(_29524, _29527) <=> ~ intersect(_29524, _29527)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', disjoint_defn)).
% 7.33/7.61 fof(commutativity_of_intersection, axiom, ! [_29690, _29693] : intersection(_29690, _29693) = intersection(_29693, _29690), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_of_intersection)).
% 7.33/7.61
% 7.33/7.61 cnf(1, plain, [disjoint(intersection(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ []))], clausify(prove_intersection_and_symmetric_difference_disjoint)).
% 7.33/7.61 cnf(2, plain, [-(difference(_9831, _9964) = difference(_9898, _10029)), _9831 = _9898, _9964 = _10029], theory(equality)).
% 7.33/7.61 cnf(3, plain, [-(_7016 = _7016)], theory(equality)).
% 7.33/7.61 cnf(4, plain, [_7169 = _7214, -(_7214 = _7169)], theory(equality)).
% 7.33/7.61 cnf(5, plain, [-(disjoint(_7991, _8122)), disjoint(_7924, _8057), _7924 = _7991, _8057 = _8122], theory(equality)).
% 7.33/7.61 cnf(6, plain, [-(intersect(_8615, _8746)), intersect(_8548, _8681), _8548 = _8615, _8681 = _8746], theory(equality)).
% 7.33/7.61 cnf(7, plain, [-(symmetric_difference(_12398, _12449) = union(difference(_12398, _12449), difference(_12449, _12398)))], clausify(symmetric_difference_defn)).
% 7.33/7.61 cnf(8, plain, [intersect(_12794, union(_12853, _12911)), -(intersect(_12794, _12853)), -(intersect(_12794, _12911))], clausify(intersect_with_union)).
% 7.33/7.61 cnf(9, plain, [-(disjoint(intersection(_13307, _13352), difference(_13307, _13352)))], clausify(intersection_and_union_disjoint)).
% 7.33/7.61 cnf(10, plain, [disjoint(_14592, _14639), intersect(_14592, _14639)], clausify(disjoint_defn)).
% 7.33/7.61 cnf(11, plain, [-(disjoint(_14592, _14639)), -(intersect(_14592, _14639))], clausify(disjoint_defn)).
% 7.33/7.61 cnf(12, plain, [-(intersection(_15232, _15277) = intersection(_15277, _15232))], clausify(commutativity_of_intersection)).
% 7.33/7.61
% 7.33/7.61 cnf('1',plain,[disjoint(intersection(4 ^ [], 3 ^ []), difference(3 ^ [], 4 ^ [])), intersect(intersection(4 ^ [], 3 ^ []), difference(3 ^ [], 4 ^ []))],start(10,bind([[_14592, _14639], [intersection(4 ^ [], 3 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 7.33/7.61 cnf('1.1',plain,[-(disjoint(intersection(4 ^ [], 3 ^ []), difference(3 ^ [], 4 ^ []))), disjoint(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])), intersection(3 ^ [], 4 ^ []) = intersection(4 ^ [], 3 ^ []), difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ [])],extension(5,bind([[_7924, _7991, _8057, _8122], [intersection(3 ^ [], 4 ^ []), intersection(4 ^ [], 3 ^ []), difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 7.33/7.61 cnf('1.1.1',plain,[-(disjoint(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))), disjoint(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])), intersection(3 ^ [], 4 ^ []) = intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ [])],extension(5,bind([[_7924, _7991, _8057, _8122], [intersection(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 7.33/7.61 cnf('1.1.1.1',plain,[-(disjoint(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))],extension(9,bind([[_13307, _13352], [3 ^ [], 4 ^ []]]))).
% 7.33/7.61 cnf('1.1.1.2',plain,[-(intersection(3 ^ [], 4 ^ []) = intersection(3 ^ [], 4 ^ []))],extension(3,bind([[_7016], [intersection(3 ^ [], 4 ^ [])]]))).
% 7.33/7.61 cnf('1.1.1.3',plain,[-(difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ []))],extension(3,bind([[_7016], [difference(3 ^ [], 4 ^ [])]]))).
% 7.33/7.61 cnf('1.1.2',plain,[-(intersection(3 ^ [], 4 ^ []) = intersection(4 ^ [], 3 ^ [])), intersection(4 ^ [], 3 ^ []) = intersection(3 ^ [], 4 ^ [])],extension(4,bind([[_7169, _7214], [intersection(4 ^ [], 3 ^ []), intersection(3 ^ [], 4 ^ [])]]))).
% 7.33/7.61 cnf('1.1.2.1',plain,[-(intersection(4 ^ [], 3 ^ []) = intersection(3 ^ [], 4 ^ []))],extension(12,bind([[_15277, _15232], [3 ^ [], 4 ^ []]]))).
% 7.33/7.61 cnf('1.1.3',plain,[-(difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ [])), 3 ^ [] = 3 ^ [], 4 ^ [] = 4 ^ []],extension(2,bind([[_9831, _9898, _9964, _10029], [3 ^ [], 3 ^ [], 4 ^ [], 4 ^ []]]))).
% 7.33/7.61 cnf('1.1.3.1',plain,[-(3 ^ [] = 3 ^ [])],extension(3,bind([[_7016], [3 ^ []]]))).
% 7.33/7.61 cnf('1.1.3.2',plain,[-(4 ^ [] = 4 ^ [])],extension(3,bind([[_7016], [4 ^ []]]))).
% 7.33/7.61 cnf('1.2',plain,[-(intersect(intersection(4 ^ [], 3 ^ []), difference(3 ^ [], 4 ^ []))), intersect(intersection(4 ^ [], 3 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))), -(intersect(intersection(4 ^ [], 3 ^ []), difference(4 ^ [], 3 ^ [])))],extension(8,bind([[_12853, _12794, _12911], [difference(3 ^ [], 4 ^ []), intersection(4 ^ [], 3 ^ []), difference(4 ^ [], 3 ^ [])]]))).
% 7.33/7.61 cnf('1.2.1',plain,[-(intersect(intersection(4 ^ [], 3 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])))), intersect(intersection(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ [])), intersection(3 ^ [], 4 ^ []) = intersection(4 ^ [], 3 ^ []), symmetric_difference(3 ^ [], 4 ^ []) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))],extension(6,bind([[_8548, _8615, _8681, _8746], [intersection(3 ^ [], 4 ^ []), intersection(4 ^ [], 3 ^ []), symmetric_difference(3 ^ [], 4 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))]]))).
% 7.33/7.61 cnf('1.2.1.1',plain,[-(intersect(intersection(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ []))), -(disjoint(intersection(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ [])))],extension(11,bind([[_14592, _14639], [intersection(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ [])]]))).
% 7.33/7.61 cnf('1.2.1.1.1',plain,[disjoint(intersection(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ []))],extension(1)).
% 7.33/7.61 cnf('1.2.1.2',plain,[-(intersection(3 ^ [], 4 ^ []) = intersection(4 ^ [], 3 ^ []))],extension(12,bind([[_15277, _15232], [4 ^ [], 3 ^ []]]))).
% 7.33/7.61 cnf('1.2.1.3',plain,[-(symmetric_difference(3 ^ [], 4 ^ []) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])))],extension(7,bind([[_12449, _12398], [4 ^ [], 3 ^ []]]))).
% 7.33/7.61 cnf('1.2.2',plain,[intersect(intersection(4 ^ [], 3 ^ []), difference(4 ^ [], 3 ^ [])), disjoint(intersection(4 ^ [], 3 ^ []), difference(4 ^ [], 3 ^ []))],extension(10,bind([[_14592, _14639], [intersection(4 ^ [], 3 ^ []), difference(4 ^ [], 3 ^ [])]]))).
% 7.33/7.61 cnf('1.2.2.1',plain,[-(disjoint(intersection(4 ^ [], 3 ^ []), difference(4 ^ [], 3 ^ [])))],extension(9,bind([[_13307, _13352], [4 ^ [], 3 ^ []]]))).
% 7.33/7.61 %-----------------------------------------------------
% 7.33/7.62
% 7.33/7.62 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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