TSTP Solution File: SET634+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET634+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 02:55:00 EDT 2022
% Result : Theorem 1.44s 2.48s
% Output : Proof 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET634+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 00:18:45 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.44/2.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.44/2.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.47/2.50
% 1.47/2.50 %-----------------------------------------------------
% 1.47/2.50 fof(prove_difference_and_intersection, conjecture, ! [_32371, _32374, _32377] : intersection(_32371, difference(_32374, _32377)) = difference(intersection(_32371, _32374), _32377), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_difference_and_intersection)).
% 1.47/2.50 fof(member_equal, axiom, ! [_32589, _32592] : (! [_32600] : (member(_32600, _32589) <=> member(_32600, _32592)) => _32589 = _32592), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', member_equal)).
% 1.47/2.50 fof(intersection_defn, axiom, ! [_32801, _32804, _32807] : (member(_32807, intersection(_32801, _32804)) <=> member(_32807, _32801) & member(_32807, _32804)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 1.47/2.50 fof(difference_defn, axiom, ! [_33026, _33029, _33032] : (member(_33032, difference(_33026, _33029)) <=> member(_33032, _33026) & ~ member(_33032, _33029)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 1.47/2.50
% 1.47/2.50 cnf(1, plain, [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])], clausify(prove_difference_and_intersection)).
% 1.47/2.50 cnf(2, plain, [-(_6111 = _6111)], theory(equality)).
% 1.47/2.50 cnf(3, plain, [-(member(_7086, _7217)), member(_7019, _7152), _7019 = _7086, _7152 = _7217], theory(equality)).
% 1.47/2.50 cnf(4, plain, [-(_9576 = _9632), member(1 ^ [_9632, _9576], _9576), member(1 ^ [_9632, _9576], _9632)], clausify(member_equal)).
% 1.47/2.50 cnf(5, plain, [-(_9576 = _9632), -(member(1 ^ [_9632, _9576], _9576)), -(member(1 ^ [_9632, _9576], _9632))], clausify(member_equal)).
% 1.47/2.50 cnf(6, plain, [member(_10154, intersection(_10037, _10096)), -(member(_10154, _10037))], clausify(intersection_defn)).
% 1.47/2.50 cnf(7, plain, [member(_10154, intersection(_10037, _10096)), -(member(_10154, _10096))], clausify(intersection_defn)).
% 1.47/2.50 cnf(8, plain, [-(member(_10154, intersection(_10037, _10096))), member(_10154, _10037), member(_10154, _10096)], clausify(intersection_defn)).
% 1.47/2.50 cnf(9, plain, [member(_10671, difference(_10550, _10611)), -(member(_10671, _10550))], clausify(difference_defn)).
% 1.47/2.50 cnf(10, plain, [member(_10671, difference(_10550, _10611)), member(_10671, _10611)], clausify(difference_defn)).
% 1.47/2.50 cnf(11, plain, [-(member(_10671, difference(_10550, _10611))), member(_10671, _10550), -(member(_10671, _10611))], clausify(difference_defn)).
% 1.47/2.50
% 1.47/2.50 cnf('1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])],start(1)).
% 1.47/2.50 cnf('1.1',plain,[-(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))],extension(4,bind([[_9576, _9632], [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ []), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))],extension(8,bind([[_10037, _10154, _10096], [4 ^ [], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],extension(6,bind([[_10154, _10037, _10096], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], difference(5 ^ [], 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.1.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])))],extension(5,bind([[_9576, _9632], [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.1.1.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])],extension(1)).
% 1.47/2.50 cnf('1.1.1.1.1.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])))],extension(9,bind([[_10611, _10671, _10550], [6 ^ [], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 1.47/2.50 cnf('1.1.1.1.1.2.1',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ []))],extension(6,bind([[_10096, _10154, _10037], [5 ^ [], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ []]]))).
% 1.47/2.50 cnf('1.1.1.1.1.2.1.1',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])],reduction('1.1.1')).
% 1.47/2.50 cnf('1.1.1.2',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ []), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []))],extension(11,bind([[_10550, _10671, _10611], [5 ^ [], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []]]))).
% 1.47/2.50 cnf('1.1.1.2.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [])), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []))],extension(7,bind([[_10154, _10037, _10096], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], 5 ^ []]]))).
% 1.47/2.50 cnf('1.1.1.2.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))],extension(9,bind([[_10671, _10550, _10611], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []), 6 ^ []]]))).
% 1.47/2.50 cnf('1.1.1.2.1.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))))],extension(5,bind([[_9632, _9576], [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))]]))).
% 1.47/2.50 cnf('1.1.1.2.1.1.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])],extension(1)).
% 1.47/2.50 cnf('1.1.1.2.1.1.1.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],reduction('1.1')).
% 1.47/2.50 cnf('1.1.1.2.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))],extension(10,bind([[_10671, _10550, _10611], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []), 6 ^ []]]))).
% 1.47/2.50 cnf('1.1.1.2.2.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))))],extension(5,bind([[_9632, _9576], [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))]]))).
% 1.47/2.50 cnf('1.1.1.2.2.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])],extension(1)).
% 1.47/2.50 cnf('1.1.1.2.2.1.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],reduction('1.1')).
% 1.47/2.50 cnf('1.1.2',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []))],extension(11,bind([[_10550, _10671, _10611], [intersection(4 ^ [], 5 ^ []), 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []]]))).
% 1.47/2.50 cnf('1.1.2.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ []), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [])],extension(8,bind([[_10037, _10154, _10096], [4 ^ [], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ []]]))).
% 1.47/2.50 cnf('1.1.2.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],extension(6,bind([[_10154, _10037, _10096], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], difference(5 ^ [], 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.2.1.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))), 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))] = 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = intersection(4 ^ [], difference(5 ^ [], 6 ^ []))],extension(3,bind([[_7019, _7086, _7152, _7217], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))]]))).
% 1.47/2.50 cnf('1.1.2.1.1.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])))],extension(5,bind([[_9576, _9632], [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.2.1.1.1.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])],extension(1)).
% 1.47/2.50 cnf('1.1.2.1.1.1.1.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))],reduction('1.1')).
% 1.47/2.50 cnf('1.1.2.1.1.1.2',plain,[-(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))] = 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))])],extension(2,bind([[_6111], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))]]]))).
% 1.47/2.50 cnf('1.1.2.1.1.1.3',plain,[-(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],extension(2,bind([[_6111], [intersection(4 ^ [], difference(5 ^ [], 6 ^ []))]]))).
% 1.47/2.50 cnf('1.1.2.1.2',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [])), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))],extension(9,bind([[_10671, _10550, _10611], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [], 6 ^ []]]))).
% 1.47/2.50 cnf('1.1.2.1.2.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],extension(7,bind([[_10154, _10037, _10096], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], difference(5 ^ [], 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.2.1.2.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])))],extension(5,bind([[_9576, _9632], [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.2.1.2.1.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])],extension(1)).
% 1.47/2.50 cnf('1.1.2.1.2.1.1.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))],reduction('1.1')).
% 1.47/2.50 cnf('1.1.2.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))],extension(10,bind([[_10671, _10550, _10611], [1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []), 6 ^ []]]))).
% 1.47/2.50 cnf('1.1.2.2.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), 6 ^ []))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))))],extension(5,bind([[_9632, _9576], [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))]]))).
% 1.47/2.50 cnf('1.1.2.2.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), 6 ^ [])],extension(1)).
% 1.47/2.50 cnf('1.1.2.2.1.2',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))), -(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ [])))],extension(7,bind([[_10037, _10154, _10096], [4 ^ [], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ [])]]))).
% 1.47/2.50 cnf('1.1.2.2.1.2.1',plain,[member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ [])), member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ [])],extension(10,bind([[_10550, _10671, _10611], [5 ^ [], 1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []]]))).
% 1.47/2.50 cnf('1.1.2.2.1.2.1.1',plain,[-(member(1 ^ [difference(intersection(4 ^ [], 5 ^ []), 6 ^ []), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []))],reduction('1.1.2')).
% 1.47/2.50 %-----------------------------------------------------
% 1.47/2.51
% 1.47/2.51 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------