TSTP Solution File: SET578+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET578+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 02:54:20 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
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : SET578+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.18/0.33 % DateTime : Sun Jul 10 05:19:37 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.37/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.41 fof(prove_th19, conjecture, ! [_20633, _20636, _20639] : (! [_20647] : (member(_20647, _20633) <=> member(_20647, _20636) & member(_20647, _20639)) => _20633 = intersection(_20636, _20639)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th19)).
% 0.37/1.41 fof(intersection_defn, axiom, ! [_20938, _20941, _20944] : (member(_20944, intersection(_20938, _20941)) <=> member(_20944, _20938) & member(_20944, _20941)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.37/1.41 fof(equal_member_defn, axiom, ! [_21173, _21176] : (_21173 = _21176 <=> ! [_21190] : (member(_21190, _21173) <=> member(_21190, _21176))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.37/1.41
% 0.37/1.41 cnf(1, plain, [-(6 ^ [_13068]), -(member(_13068, 5 ^ []))], clausify(prove_th19)).
% 0.37/1.41 cnf(2, plain, [-(6 ^ [_13068]), -(member(_13068, 4 ^ []))], clausify(prove_th19)).
% 0.37/1.41 cnf(3, plain, [3 ^ [] = intersection(4 ^ [], 5 ^ [])], clausify(prove_th19)).
% 0.37/1.41 cnf(4, plain, [member(_13068, 3 ^ []), 6 ^ [_13068]], clausify(prove_th19)).
% 0.37/1.41 cnf(5, plain, [-(member(_13068, 3 ^ [])), member(_13068, 4 ^ []), member(_13068, 5 ^ [])], clausify(prove_th19)).
% 0.37/1.41 cnf(6, plain, [member(_8291, intersection(_8174, _8233)), -(member(_8291, _8174))], clausify(intersection_defn)).
% 0.37/1.41 cnf(7, plain, [member(_8291, intersection(_8174, _8233)), -(member(_8291, _8233))], clausify(intersection_defn)).
% 0.37/1.41 cnf(8, plain, [-(member(_8291, intersection(_8174, _8233))), member(_8291, _8174), member(_8291, _8233)], clausify(intersection_defn)).
% 0.37/1.41 cnf(9, plain, [-(_10018 = _10074), member(2 ^ [_10074, _10018], _10018), member(2 ^ [_10074, _10018], _10074)], clausify(equal_member_defn)).
% 0.37/1.41 cnf(10, plain, [-(_10018 = _10074), -(member(2 ^ [_10074, _10018], _10018)), -(member(2 ^ [_10074, _10018], _10074))], clausify(equal_member_defn)).
% 0.37/1.41
% 0.37/1.41 cnf('1',plain,[member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []), 6 ^ [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]],start(4,bind([[_13068], [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.37/1.41 cnf('1.1',plain,[-(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])), member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []), member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ [])],extension(5,bind([[_13068], [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.37/1.41 cnf('1.1.1',plain,[-(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])), member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))],extension(6,bind([[_8291, _8174, _8233], [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.1',plain,[-(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))), -(3 ^ [] = intersection(4 ^ [], 5 ^ [])), -(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],extension(10,bind([[_10074, _10018], [intersection(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.37/1.41 cnf('1.1.1.1.1',plain,[3 ^ [] = intersection(4 ^ [], 5 ^ [])],extension(3)).
% 0.37/1.41 cnf('1.1.1.1.2',plain,[member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],reduction('1')).
% 0.37/1.41 cnf('1.1.2',plain,[-(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ [])), member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))],extension(7,bind([[_8291, _8174, _8233], [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.37/1.41 cnf('1.1.2.1',plain,[-(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))), -(3 ^ [] = intersection(4 ^ [], 5 ^ [])), -(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],extension(10,bind([[_10074, _10018], [intersection(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.37/1.41 cnf('1.1.2.1.1',plain,[3 ^ [] = intersection(4 ^ [], 5 ^ [])],extension(3)).
% 0.37/1.41 cnf('1.1.2.1.2',plain,[member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],reduction('1')).
% 0.37/1.41 cnf('1.2',plain,[-(6 ^ [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]), -(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []))],extension(1,bind([[_13068], [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.37/1.41 cnf('1.2.1',plain,[member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []), -(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))), member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])],extension(8,bind([[_8233, _8291, _8174], [5 ^ [], 2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []]]))).
% 0.37/1.41 cnf('1.2.1.1',plain,[member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ [])), -(3 ^ [] = intersection(4 ^ [], 5 ^ [])), member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],extension(9,bind([[_10074, _10018], [intersection(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.37/1.41 cnf('1.2.1.1.1',plain,[3 ^ [] = intersection(4 ^ [], 5 ^ [])],extension(3)).
% 0.37/1.41 cnf('1.2.1.1.2',plain,[-(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],lemmata('1')).
% 0.37/1.41 cnf('1.2.1.2',plain,[-(member(2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])), -(6 ^ [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]])],extension(2,bind([[_13068], [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]]))).
% 0.37/1.41 cnf('1.2.1.2.1',plain,[6 ^ [2 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []]]],reduction('1')).
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.41
% 0.37/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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