TSTP Solution File: SET162+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 02:51:58 EDT 2022
% Result : Theorem 0.30s 1.40s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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
% 0.12/0.33 % DateTime : Mon Jul 11 03:06:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.30/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/1.41
% 0.30/1.41 %-----------------------------------------------------
% 0.30/1.41 fof(prove_union_empty_set, conjecture, ! [_19515] : union(_19515, empty_set) = _19515, file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_union_empty_set)).
% 0.30/1.41 fof(union_defn, axiom, ! [_19641, _19644, _19647] : (member(_19647, union(_19641, _19644)) <=> member(_19647, _19641) | member(_19647, _19644)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.30/1.41 fof(empty_set_defn, axiom, ! [_19855] : ~ member(_19855, empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.30/1.41 fof(equal_member_defn, axiom, ! [_19981, _19984] : (_19981 = _19984 <=> ! [_19998] : (member(_19998, _19981) <=> member(_19998, _19984))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.30/1.41
% 0.30/1.41 cnf(1, plain, [union(4 ^ [], empty_set) = 4 ^ []], clausify(prove_union_empty_set)).
% 0.30/1.41 cnf(2, plain, [-(member(_8860, union(_8743, _8802))), member(_8860, _8743)], clausify(union_defn)).
% 0.30/1.41 cnf(3, plain, [member(_8860, union(_8743, _8802)), -(member(_8860, _8743)), -(member(_8860, _8802))], clausify(union_defn)).
% 0.30/1.41 cnf(4, plain, [member(_9256, empty_set)], clausify(empty_set_defn)).
% 0.30/1.41 cnf(5, plain, [-(_11081 = _11137), member(3 ^ [_11137, _11081], _11081), member(3 ^ [_11137, _11081], _11137)], clausify(equal_member_defn)).
% 0.30/1.41 cnf(6, plain, [-(_11081 = _11137), -(member(3 ^ [_11137, _11081], _11081)), -(member(3 ^ [_11137, _11081], _11137))], clausify(equal_member_defn)).
% 0.30/1.41
% 0.30/1.41 cnf('1',plain,[union(4 ^ [], empty_set) = 4 ^ []],start(1)).
% 0.30/1.41 cnf('1.1',plain,[-(union(4 ^ [], empty_set) = 4 ^ []), member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set)), member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ [])],extension(5,bind([[_11081, _11137], [union(4 ^ [], empty_set), 4 ^ []]]))).
% 0.30/1.41 cnf('1.1.1',plain,[-(member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set))), member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ [])],extension(2,bind([[_8802, _8860, _8743], [empty_set, 3 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ []]]))).
% 0.30/1.41 cnf('1.1.1.1',plain,[-(member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ [])), -(union(4 ^ [], empty_set) = 4 ^ []), -(member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set)))],extension(6,bind([[_11137, _11081], [4 ^ [], union(4 ^ [], empty_set)]]))).
% 0.30/1.41 cnf('1.1.1.1.1',plain,[union(4 ^ [], empty_set) = 4 ^ []],extension(1)).
% 0.30/1.41 cnf('1.1.1.1.2',plain,[member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set))],reduction('1.1')).
% 0.30/1.41 cnf('1.1.2',plain,[-(member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ [])), member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set)), -(member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], empty_set))],extension(3,bind([[_8743, _8860, _8802], [4 ^ [], 3 ^ [4 ^ [], union(4 ^ [], empty_set)], empty_set]]))).
% 0.30/1.41 cnf('1.1.2.1',plain,[-(member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set))), -(union(4 ^ [], empty_set) = 4 ^ []), -(member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ []))],extension(6,bind([[_11081, _11137], [union(4 ^ [], empty_set), 4 ^ []]]))).
% 0.30/1.41 cnf('1.1.2.1.1',plain,[union(4 ^ [], empty_set) = 4 ^ []],extension(1)).
% 0.30/1.41 cnf('1.1.2.1.2',plain,[member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ [])],reduction('1.1')).
% 0.30/1.41 cnf('1.1.2.2',plain,[member(3 ^ [4 ^ [], union(4 ^ [], empty_set)], empty_set)],extension(4,bind([[_9256], [3 ^ [4 ^ [], union(4 ^ [], empty_set)]]]))).
% 0.30/1.41 %-----------------------------------------------------
% 0.30/1.42
% 0.30/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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