%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 02:50:48 EDT 2022
% Result : Theorem 0.40s 1.43s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 21:58:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.40/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.44
% 0.40/1.44 %-----------------------------------------------------
% 0.40/1.44 fof(prove_subset_of_empty_set_is_empty_set, conjecture, ! [_12557] : (subset(_12557, empty_set) => _12557 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_subset_of_empty_set_is_empty_set)).
% 0.40/1.44 fof(empty_set_subset, axiom, ! [_12699] : subset(empty_set, _12699), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_subset)).
% 0.40/1.44 fof(equal_defn, axiom, ! [_12815, _12818] : (_12815 = _12818 <=> subset(_12815, _12818) & subset(_12818, _12815)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 0.40/1.44
% 0.40/1.44 cnf(1, plain, [-(subset(3 ^ [], empty_set))], clausify(prove_subset_of_empty_set_is_empty_set)).
% 0.40/1.44 cnf(2, plain, [3 ^ [] = empty_set], clausify(prove_subset_of_empty_set_is_empty_set)).
% 0.40/1.44 cnf(3, plain, [-(subset(empty_set, _7198))], clausify(empty_set_subset)).
% 0.40/1.44 cnf(4, plain, [-(_8025 = _8076), subset(_8025, _8076), subset(_8076, _8025)], clausify(equal_defn)).
% 0.40/1.44
% 0.40/1.44 cnf('1',plain,[3 ^ [] = empty_set],start(2)).
% 0.40/1.44 cnf('1.1',plain,[-(3 ^ [] = empty_set), subset(3 ^ [], empty_set), subset(empty_set, 3 ^ [])],extension(4,bind([[_8076, _8025], [empty_set, 3 ^ []]]))).
% 0.40/1.44 cnf('1.1.1',plain,[-(subset(3 ^ [], empty_set))],extension(1)).
% 0.40/1.44 cnf('1.1.2',plain,[-(subset(empty_set, 3 ^ []))],extension(3,bind([[_7198], [3 ^ []]]))).
% 0.40/1.44 %-----------------------------------------------------
% 0.40/1.45
% 0.40/1.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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