TSTP Solution File: SEU037+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% 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 11:59:53 EDT 2022
% Result : Theorem 0.37s 1.40s
% Output : Proof 0.37s
% 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 : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jun 18 23:28:53 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.37/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.41 fof(t71_funct_1, conjecture, ! [_53757, _53760, _53763] : (relation(_53763) & function(_53763) => in(_53760, set_intersection2(relation_dom(_53763), _53757)) => apply(relation_dom_restriction(_53763, _53757), _53760) = apply(_53763, _53760)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t71_funct_1)).
% 0.37/1.41 fof(dt_k7_relat_1, axiom, ! [_54123, _54126] : (relation(_54123) => relation(relation_dom_restriction(_54123, _54126))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k7_relat_1)).
% 0.37/1.41 fof(fc4_funct_1, axiom, ! [_54281, _54284] : (relation(_54281) & function(_54281) => relation(relation_dom_restriction(_54281, _54284)) & function(relation_dom_restriction(_54281, _54284))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc4_funct_1)).
% 0.37/1.41 fof(t68_funct_1, axiom, ! [_54524, _54527] : (relation(_54527) & function(_54527) => ! [_54549] : (relation(_54549) & function(_54549) => (_54527 = relation_dom_restriction(_54549, _54524) <=> relation_dom(_54527) = set_intersection2(relation_dom(_54549), _54524) & ! [_54605] : (in(_54605, relation_dom(_54527)) => apply(_54527, _54605) = apply(_54549, _54605))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t68_funct_1)).
% 0.37/1.41
% 0.37/1.41 cnf(1, plain, [-(relation(15 ^ []))], clausify(t71_funct_1)).
% 0.37/1.41 cnf(2, plain, [-(function(15 ^ []))], clausify(t71_funct_1)).
% 0.37/1.41 cnf(3, plain, [-(in(14 ^ [], set_intersection2(relation_dom(15 ^ []), 13 ^ [])))], clausify(t71_funct_1)).
% 0.37/1.41 cnf(4, plain, [apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])], clausify(t71_funct_1)).
% 0.37/1.41 cnf(5, plain, [-(relation_dom_restriction(_21895, _22028) = relation_dom_restriction(_21962, _22093)), _21895 = _21962, _22028 = _22093], theory(equality)).
% 0.37/1.41 cnf(6, plain, [-(_16078 = _16078)], theory(equality)).
% 0.37/1.41 cnf(7, plain, [_16231 = _16276, -(_16276 = _16231)], theory(equality)).
% 0.37/1.41 cnf(8, plain, [-(in(_18335, _18466)), in(_18268, _18401), _18268 = _18335, _18401 = _18466], theory(equality)).
% 0.37/1.41 cnf(9, plain, [relation(_24731), -(relation(relation_dom_restriction(_24731, _24777)))], clausify(dt_k7_relat_1)).
% 0.37/1.41 cnf(10, plain, [-(function(relation_dom_restriction(_26627, _26686))), relation(_26627), function(_26627)], clausify(fc4_funct_1)).
% 0.37/1.41 cnf(11, plain, [function(_33129), relation(_33129), function(_33324), relation(_33324), _33129 = relation_dom_restriction(_33324, _33024), -(relation_dom(_33129) = set_intersection2(relation_dom(_33324), _33024))], clausify(t68_funct_1)).
% 0.37/1.41 cnf(12, plain, [function(_33129), relation(_33129), function(_33324), relation(_33324), _33129 = relation_dom_restriction(_33324, _33024), in(_33732, relation_dom(_33129)), -(apply(_33129, _33732) = apply(_33324, _33732))], clausify(t68_funct_1)).
% 0.37/1.41
% 0.37/1.41 cnf('1',plain,[apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])],start(4)).
% 0.37/1.41 cnf('1.1',plain,[-(apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])), function(relation_dom_restriction(15 ^ [], 13 ^ [])), relation(relation_dom_restriction(15 ^ [], 13 ^ [])), function(15 ^ []), relation(15 ^ []), relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ []), in(14 ^ [], relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])))],extension(12,bind([[_33324, _33024, _33732, _33129], [15 ^ [], 13 ^ [], 14 ^ [], relation_dom_restriction(15 ^ [], 13 ^ [])]]))).
% 0.37/1.41 cnf('1.1.1',plain,[-(function(relation_dom_restriction(15 ^ [], 13 ^ []))), relation(15 ^ []), function(15 ^ [])],extension(10,bind([[_26686, _26627], [13 ^ [], 15 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.1',plain,[-(relation(15 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.1.2',plain,[-(function(15 ^ []))],extension(2)).
% 0.37/1.41 cnf('1.1.2',plain,[-(relation(relation_dom_restriction(15 ^ [], 13 ^ []))), relation(15 ^ [])],extension(9,bind([[_24777, _24731], [13 ^ [], 15 ^ []]]))).
% 0.37/1.41 cnf('1.1.2.1',plain,[-(relation(15 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.3',plain,[-(function(15 ^ []))],extension(2)).
% 0.37/1.41 cnf('1.1.4',plain,[-(relation(15 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.5',plain,[-(relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ [])), 15 ^ [] = 15 ^ [], 13 ^ [] = 13 ^ []],extension(5,bind([[_21895, _21962, _22028, _22093], [15 ^ [], 15 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.37/1.41 cnf('1.1.5.1',plain,[-(15 ^ [] = 15 ^ [])],extension(6,bind([[_16078], [15 ^ []]]))).
% 0.37/1.41 cnf('1.1.5.2',plain,[-(13 ^ [] = 13 ^ [])],extension(6,bind([[_16078], [13 ^ []]]))).
% 0.37/1.41 cnf('1.1.6',plain,[-(in(14 ^ [], relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])))), in(14 ^ [], set_intersection2(relation_dom(15 ^ []), 13 ^ [])), 14 ^ [] = 14 ^ [], set_intersection2(relation_dom(15 ^ []), 13 ^ []) = relation_dom(relation_dom_restriction(15 ^ [], 13 ^ []))],extension(8,bind([[_18268, _18335, _18401, _18466], [14 ^ [], 14 ^ [], set_intersection2(relation_dom(15 ^ []), 13 ^ []), relation_dom(relation_dom_restriction(15 ^ [], 13 ^ []))]]))).
% 0.37/1.41 cnf('1.1.6.1',plain,[-(in(14 ^ [], set_intersection2(relation_dom(15 ^ []), 13 ^ [])))],extension(3)).
% 0.37/1.41 cnf('1.1.6.2',plain,[-(14 ^ [] = 14 ^ [])],extension(6,bind([[_16078], [14 ^ []]]))).
% 0.37/1.41 cnf('1.1.6.3',plain,[-(set_intersection2(relation_dom(15 ^ []), 13 ^ []) = relation_dom(relation_dom_restriction(15 ^ [], 13 ^ []))), relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])) = set_intersection2(relation_dom(15 ^ []), 13 ^ [])],extension(7,bind([[_16231, _16276], [relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])), set_intersection2(relation_dom(15 ^ []), 13 ^ [])]]))).
% 0.37/1.41 cnf('1.1.6.3.1',plain,[-(relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])) = set_intersection2(relation_dom(15 ^ []), 13 ^ [])), function(relation_dom_restriction(15 ^ [], 13 ^ [])), relation(relation_dom_restriction(15 ^ [], 13 ^ [])), function(15 ^ []), relation(15 ^ []), relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ [])],extension(11,bind([[_33129, _33324, _33024], [relation_dom_restriction(15 ^ [], 13 ^ []), 15 ^ [], 13 ^ []]]))).
% 0.37/1.41 cnf('1.1.6.3.1.1',plain,[-(function(relation_dom_restriction(15 ^ [], 13 ^ [])))],lemmata('1.1')).
% 0.37/1.41 cnf('1.1.6.3.1.2',plain,[-(relation(relation_dom_restriction(15 ^ [], 13 ^ [])))],lemmata('1.1')).
% 0.37/1.41 cnf('1.1.6.3.1.3',plain,[-(function(15 ^ []))],extension(2)).
% 0.37/1.41 cnf('1.1.6.3.1.4',plain,[-(relation(15 ^ []))],extension(1)).
% 0.37/1.41 cnf('1.1.6.3.1.5',plain,[-(relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ []))],extension(6,bind([[_16078], [relation_dom_restriction(15 ^ [], 13 ^ [])]]))).
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.42
% 0.37/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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