TSTP Solution File: SEU224+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 12:01:11 EDT 2022
% Result : Theorem 121.18s 117.39s
% Output : Proof 121.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 08:05:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 121.18/117.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 121.18/117.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 121.18/117.40
% 121.18/117.40 %-----------------------------------------------------
% 121.18/117.40 fof(l82_funct_1, conjecture, ! [_53424, _53427, _53430] : (relation(_53430) & function(_53430) => (in(_53427, relation_dom(relation_dom_restriction(_53430, _53424))) <=> in(_53427, relation_dom(_53430)) & in(_53427, _53424))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l82_funct_1)).
% 121.18/117.40 fof(d3_xboole_0, axiom, ! [_53792, _53795, _53798] : (_53798 = set_intersection2(_53792, _53795) <=> ! [_53819] : (in(_53819, _53798) <=> in(_53819, _53792) & in(_53819, _53795))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 121.18/117.40 fof(dt_k7_relat_1, axiom, ! [_54074, _54077] : (relation(_54074) => relation(relation_dom_restriction(_54074, _54077))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_relat_1)).
% 121.18/117.40 fof(fc4_funct_1, axiom, ! [_54231, _54234] : (relation(_54231) & function(_54231) => relation(relation_dom_restriction(_54231, _54234)) & function(relation_dom_restriction(_54231, _54234))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_funct_1)).
% 121.18/117.40 fof(t68_funct_1, axiom, ! [_54465, _54468] : (relation(_54468) & function(_54468) => ! [_54490] : (relation(_54490) & function(_54490) => (_54468 = relation_dom_restriction(_54490, _54465) <=> relation_dom(_54468) = set_intersection2(relation_dom(_54490), _54465) & ! [_54546] : (in(_54546, relation_dom(_54468)) => apply(_54468, _54546) = apply(_54490, _54546))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t68_funct_1)).
% 121.18/117.40
% 121.18/117.40 cnf(1, plain, [-(16 ^ []), in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])))], clausify(l82_funct_1)).
% 121.18/117.40 cnf(2, plain, [-(16 ^ []), -(in(13 ^ [], 12 ^ []))], clausify(l82_funct_1)).
% 121.18/117.40 cnf(3, plain, [-(16 ^ []), -(in(13 ^ [], relation_dom(14 ^ [])))], clausify(l82_funct_1)).
% 121.18/117.40 cnf(4, plain, [-(15 ^ []), in(13 ^ [], relation_dom(14 ^ [])), in(13 ^ [], 12 ^ [])], clausify(l82_funct_1)).
% 121.18/117.40 cnf(5, plain, [-(15 ^ []), -(in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ []))))], clausify(l82_funct_1)).
% 121.18/117.40 cnf(6, plain, [-(relation(14 ^ []))], clausify(l82_funct_1)).
% 121.18/117.40 cnf(7, plain, [-(function(14 ^ []))], clausify(l82_funct_1)).
% 121.18/117.40 cnf(8, plain, [16 ^ [], 15 ^ []], clausify(l82_funct_1)).
% 121.18/117.40 cnf(9, plain, [-(_14506 = _14506)], theory(equality)).
% 121.18/117.40 cnf(10, plain, [_22315 = set_intersection2(_22176, _22246), in(_22479, _22315), -(in(_22479, _22176))], clausify(d3_xboole_0)).
% 121.18/117.40 cnf(11, plain, [_22315 = set_intersection2(_22176, _22246), in(_22479, _22315), -(in(_22479, _22246))], clausify(d3_xboole_0)).
% 121.18/117.40 cnf(12, plain, [_22315 = set_intersection2(_22176, _22246), -(in(_22479, _22315)), in(_22479, _22176), in(_22479, _22246)], clausify(d3_xboole_0)).
% 121.18/117.40 cnf(13, plain, [relation(_23393), -(relation(relation_dom_restriction(_23393, _23439)))], clausify(dt_k7_relat_1)).
% 121.18/117.40 cnf(14, plain, [-(function(relation_dom_restriction(_25234, _25293))), relation(_25234), function(_25234)], clausify(fc4_funct_1)).
% 121.18/117.40 cnf(15, plain, [function(_29494), relation(_29494), function(_29689), relation(_29689), _29494 = relation_dom_restriction(_29689, _29389), -(relation_dom(_29494) = set_intersection2(relation_dom(_29689), _29389))], clausify(t68_funct_1)).
% 121.18/117.40
% 121.18/117.40 cnf('1',plain,[16 ^ [], 15 ^ []],start(8)).
% 121.18/117.40 cnf('1.1',plain,[-(16 ^ []), in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])))],extension(1)).
% 121.18/117.40 cnf('1.1.1',plain,[-(in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])))), relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])) = set_intersection2(relation_dom(14 ^ []), 12 ^ []), in(13 ^ [], relation_dom(14 ^ [])), in(13 ^ [], 12 ^ [])],extension(12,bind([[_22315, _22176, _22479, _22246], [relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])), relation_dom(14 ^ []), 13 ^ [], 12 ^ []]]))).
% 121.18/117.40 cnf('1.1.1.1',plain,[-(relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])) = set_intersection2(relation_dom(14 ^ []), 12 ^ [])), function(relation_dom_restriction(14 ^ [], 12 ^ [])), relation(relation_dom_restriction(14 ^ [], 12 ^ [])), function(14 ^ []), relation(14 ^ []), relation_dom_restriction(14 ^ [], 12 ^ []) = relation_dom_restriction(14 ^ [], 12 ^ [])],extension(15,bind([[_29494, _29689, _29389], [relation_dom_restriction(14 ^ [], 12 ^ []), 14 ^ [], 12 ^ []]]))).
% 121.18/117.40 cnf('1.1.1.1.1',plain,[-(function(relation_dom_restriction(14 ^ [], 12 ^ []))), relation(14 ^ []), function(14 ^ [])],extension(14,bind([[_25293, _25234], [12 ^ [], 14 ^ []]]))).
% 121.18/117.40 cnf('1.1.1.1.1.1',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.1.1.1.1.2',plain,[-(function(14 ^ []))],extension(7)).
% 121.18/117.40 cnf('1.1.1.1.2',plain,[-(relation(relation_dom_restriction(14 ^ [], 12 ^ []))), relation(14 ^ [])],extension(13,bind([[_23439, _23393], [12 ^ [], 14 ^ []]]))).
% 121.18/117.40 cnf('1.1.1.1.2.1',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.1.1.1.3',plain,[-(function(14 ^ []))],extension(7)).
% 121.18/117.40 cnf('1.1.1.1.4',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.1.1.1.5',plain,[-(relation_dom_restriction(14 ^ [], 12 ^ []) = relation_dom_restriction(14 ^ [], 12 ^ []))],extension(9,bind([[_14506], [relation_dom_restriction(14 ^ [], 12 ^ [])]]))).
% 121.18/117.40 cnf('1.1.1.2',plain,[-(in(13 ^ [], relation_dom(14 ^ []))), -(16 ^ [])],extension(3)).
% 121.18/117.40 cnf('1.1.1.2.1',plain,[16 ^ []],reduction('1')).
% 121.18/117.40 cnf('1.1.1.3',plain,[-(in(13 ^ [], 12 ^ [])), -(16 ^ [])],extension(2)).
% 121.18/117.40 cnf('1.1.1.3.1',plain,[16 ^ []],reduction('1')).
% 121.18/117.40 cnf('1.2',plain,[-(15 ^ []), in(13 ^ [], relation_dom(14 ^ [])), in(13 ^ [], 12 ^ [])],extension(4)).
% 121.18/117.40 cnf('1.2.1',plain,[-(in(13 ^ [], relation_dom(14 ^ []))), relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])) = set_intersection2(relation_dom(14 ^ []), 12 ^ []), in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])))],extension(10,bind([[_22176, _22246, _22479, _22315], [relation_dom(14 ^ []), 12 ^ [], 13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ []))]]))).
% 121.18/117.40 cnf('1.2.1.1',plain,[-(relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])) = set_intersection2(relation_dom(14 ^ []), 12 ^ [])), function(relation_dom_restriction(14 ^ [], 12 ^ [])), relation(relation_dom_restriction(14 ^ [], 12 ^ [])), function(14 ^ []), relation(14 ^ []), relation_dom_restriction(14 ^ [], 12 ^ []) = relation_dom_restriction(14 ^ [], 12 ^ [])],extension(15,bind([[_29494, _29689, _29389], [relation_dom_restriction(14 ^ [], 12 ^ []), 14 ^ [], 12 ^ []]]))).
% 121.18/117.40 cnf('1.2.1.1.1',plain,[-(function(relation_dom_restriction(14 ^ [], 12 ^ []))), relation(14 ^ []), function(14 ^ [])],extension(14,bind([[_25293, _25234], [12 ^ [], 14 ^ []]]))).
% 121.18/117.40 cnf('1.2.1.1.1.1',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.2.1.1.1.2',plain,[-(function(14 ^ []))],extension(7)).
% 121.18/117.40 cnf('1.2.1.1.2',plain,[-(relation(relation_dom_restriction(14 ^ [], 12 ^ []))), relation(14 ^ [])],extension(13,bind([[_23439, _23393], [12 ^ [], 14 ^ []]]))).
% 121.18/117.40 cnf('1.2.1.1.2.1',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.2.1.1.3',plain,[-(function(14 ^ []))],extension(7)).
% 121.18/117.40 cnf('1.2.1.1.4',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.2.1.1.5',plain,[-(relation_dom_restriction(14 ^ [], 12 ^ []) = relation_dom_restriction(14 ^ [], 12 ^ []))],extension(9,bind([[_14506], [relation_dom_restriction(14 ^ [], 12 ^ [])]]))).
% 121.18/117.40 cnf('1.2.1.2',plain,[-(in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])))), -(15 ^ [])],extension(5)).
% 121.18/117.40 cnf('1.2.1.2.1',plain,[15 ^ []],reduction('1')).
% 121.18/117.40 cnf('1.2.2',plain,[-(in(13 ^ [], 12 ^ [])), relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])) = set_intersection2(relation_dom(14 ^ []), 12 ^ []), in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])))],extension(11,bind([[_22176, _22246, _22479, _22315], [relation_dom(14 ^ []), 12 ^ [], 13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ []))]]))).
% 121.18/117.40 cnf('1.2.2.1',plain,[-(relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])) = set_intersection2(relation_dom(14 ^ []), 12 ^ [])), function(relation_dom_restriction(14 ^ [], 12 ^ [])), relation(relation_dom_restriction(14 ^ [], 12 ^ [])), function(14 ^ []), relation(14 ^ []), relation_dom_restriction(14 ^ [], 12 ^ []) = relation_dom_restriction(14 ^ [], 12 ^ [])],extension(15,bind([[_29494, _29689, _29389], [relation_dom_restriction(14 ^ [], 12 ^ []), 14 ^ [], 12 ^ []]]))).
% 121.18/117.40 cnf('1.2.2.1.1',plain,[-(function(relation_dom_restriction(14 ^ [], 12 ^ []))), relation(14 ^ []), function(14 ^ [])],extension(14,bind([[_25293, _25234], [12 ^ [], 14 ^ []]]))).
% 121.18/117.40 cnf('1.2.2.1.1.1',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.2.2.1.1.2',plain,[-(function(14 ^ []))],extension(7)).
% 121.18/117.40 cnf('1.2.2.1.2',plain,[-(relation(relation_dom_restriction(14 ^ [], 12 ^ []))), relation(14 ^ [])],extension(13,bind([[_23439, _23393], [12 ^ [], 14 ^ []]]))).
% 121.18/117.40 cnf('1.2.2.1.2.1',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.2.2.1.3',plain,[-(function(14 ^ []))],extension(7)).
% 121.18/117.40 cnf('1.2.2.1.4',plain,[-(relation(14 ^ []))],extension(6)).
% 121.18/117.40 cnf('1.2.2.1.5',plain,[-(relation_dom_restriction(14 ^ [], 12 ^ []) = relation_dom_restriction(14 ^ [], 12 ^ []))],extension(9,bind([[_14506], [relation_dom_restriction(14 ^ [], 12 ^ [])]]))).
% 121.18/117.40 cnf('1.2.2.2',plain,[-(in(13 ^ [], relation_dom(relation_dom_restriction(14 ^ [], 12 ^ [])))), -(15 ^ [])],extension(5)).
% 121.18/117.40 cnf('1.2.2.2.1',plain,[15 ^ []],reduction('1')).
% 121.18/117.40 %-----------------------------------------------------
% 121.18/117.41
% 121.18/117.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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