%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU145+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 12:00:26 EDT 2022
% Result : Theorem 1.63s 2.44s
% Output : Proof 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU145+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.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 : Sun Jun 19 19:08:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.63/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/2.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/2.45
% 1.63/2.45 %-----------------------------------------------------
% 1.63/2.45 fof(l3_zfmisc_1, conjecture, ! [_78371, _78374, _78377] : (subset(_78371, _78374) => in(_78377, _78371) | subset(_78371, set_difference(_78374, singleton(_78377)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_zfmisc_1)).
% 1.63/2.45 fof(d1_tarski, axiom, ! [_78657, _78660] : (_78660 = singleton(_78657) <=> ! [_78678] : (in(_78678, _78660) <=> _78678 = _78657)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 1.63/2.45 fof(d3_tarski, axiom, ! [_78879, _78882] : (subset(_78879, _78882) <=> ! [_78900] : (in(_78900, _78879) => in(_78900, _78882))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 1.63/2.45 fof(d4_xboole_0, axiom, ! [_79115, _79118, _79121] : (_79121 = set_difference(_79115, _79118) <=> ! [_79142] : (in(_79142, _79121) <=> in(_79142, _79115) & ~ in(_79142, _79118))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 1.63/2.45
% 1.63/2.45 cnf(1, plain, [-(subset(13 ^ [], 14 ^ []))], clausify(l3_zfmisc_1)).
% 1.63/2.45 cnf(2, plain, [in(15 ^ [], 13 ^ [])], clausify(l3_zfmisc_1)).
% 1.63/2.45 cnf(3, plain, [subset(13 ^ [], set_difference(14 ^ [], singleton(15 ^ [])))], clausify(l3_zfmisc_1)).
% 1.63/2.45 cnf(4, plain, [_29336 = _29385, -(singleton(_29336) = singleton(_29385))], theory(equality)).
% 1.63/2.45 cnf(5, plain, [-(_23666 = _23666)], theory(equality)).
% 1.63/2.45 cnf(6, plain, [-(in(_25594, _25725)), in(_25527, _25660), _25527 = _25594, _25660 = _25725], theory(equality)).
% 1.63/2.45 cnf(7, plain, [_32419 = singleton(_32361), in(_32551, _32419), -(_32551 = _32361)], clausify(d1_tarski)).
% 1.63/2.45 cnf(8, plain, [-(subset(_34536, _34592)), -(in(5 ^ [_34592, _34536], _34536))], clausify(d3_tarski)).
% 1.63/2.45 cnf(9, plain, [-(subset(_34536, _34592)), in(5 ^ [_34592, _34536], _34592)], clausify(d3_tarski)).
% 1.63/2.45 cnf(10, plain, [subset(_34536, _34592), in(_34706, _34536), -(in(_34706, _34592))], clausify(d3_tarski)).
% 1.63/2.45 cnf(11, plain, [_35825 = set_difference(_35682, _35754), -(in(_35991, _35825)), in(_35991, _35682), -(in(_35991, _35754))], clausify(d4_xboole_0)).
% 1.63/2.45
% 1.63/2.45 cnf('1',plain,[in(15 ^ [], 13 ^ [])],start(2)).
% 1.63/2.45 cnf('1.1',plain,[-(in(15 ^ [], 13 ^ [])), in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ []), 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []] = 15 ^ [], 13 ^ [] = 13 ^ []],extension(6,bind([[_25527, _25594, _25660, _25725], [5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 15 ^ [], 13 ^ [], 13 ^ []]]))).
% 1.63/2.45 cnf('1.1.1',plain,[-(in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [])), in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ []), 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []] = 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [] = 13 ^ []],extension(6,bind([[_25527, _25594, _25660, _25725], [5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [], 13 ^ []]]))).
% 1.63/2.45 cnf('1.1.1.1',plain,[-(in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [])), in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ []), 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []] = 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [] = 13 ^ []],extension(6,bind([[_25527, _25594, _25660, _25725], [5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [], 13 ^ []]]))).
% 1.63/2.45 cnf('1.1.1.1.1',plain,[-(in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [])), -(subset(13 ^ [], set_difference(14 ^ [], singleton(15 ^ []))))],extension(8,bind([[_34536, _34592], [13 ^ [], set_difference(14 ^ [], singleton(15 ^ []))]]))).
% 1.63/2.45 cnf('1.1.1.1.1.1',plain,[subset(13 ^ [], set_difference(14 ^ [], singleton(15 ^ [])))],extension(3)).
% 1.63/2.45 cnf('1.1.1.1.2',plain,[-(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []] = 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []])],extension(5,bind([[_23666], [5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []]]]))).
% 1.63/2.45 cnf('1.1.1.1.3',plain,[-(13 ^ [] = 13 ^ [])],extension(5,bind([[_23666], [13 ^ []]]))).
% 1.63/2.45 cnf('1.1.1.2',plain,[-(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []] = 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []])],extension(5,bind([[_23666], [5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []]]]))).
% 1.63/2.45 cnf('1.1.1.3',plain,[-(13 ^ [] = 13 ^ [])],extension(5,bind([[_23666], [13 ^ []]]))).
% 1.63/2.45 cnf('1.1.2',plain,[-(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []] = 15 ^ []), singleton(15 ^ []) = singleton(15 ^ []), in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], singleton(15 ^ []))],extension(7,bind([[_32361, _32551, _32419], [15 ^ [], 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], singleton(15 ^ [])]]))).
% 1.63/2.45 cnf('1.1.2.1',plain,[-(singleton(15 ^ []) = singleton(15 ^ [])), 15 ^ [] = 15 ^ []],extension(4,bind([[_29336, _29385], [15 ^ [], 15 ^ []]]))).
% 1.63/2.45 cnf('1.1.2.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(5,bind([[_23666], [15 ^ []]]))).
% 1.63/2.45 cnf('1.1.2.2',plain,[-(in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], singleton(15 ^ []))), set_difference(14 ^ [], singleton(15 ^ [])) = set_difference(14 ^ [], singleton(15 ^ [])), -(in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], set_difference(14 ^ [], singleton(15 ^ [])))), in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 14 ^ [])],extension(11,bind([[_35754, _35825, _35991, _35682], [singleton(15 ^ []), set_difference(14 ^ [], singleton(15 ^ [])), 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 14 ^ []]]))).
% 1.63/2.45 cnf('1.1.2.2.1',plain,[-(set_difference(14 ^ [], singleton(15 ^ [])) = set_difference(14 ^ [], singleton(15 ^ [])))],extension(5,bind([[_23666], [set_difference(14 ^ [], singleton(15 ^ []))]]))).
% 1.63/2.45 cnf('1.1.2.2.2',plain,[in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], set_difference(14 ^ [], singleton(15 ^ []))), -(subset(13 ^ [], set_difference(14 ^ [], singleton(15 ^ []))))],extension(9,bind([[_34536, _34592], [13 ^ [], set_difference(14 ^ [], singleton(15 ^ []))]]))).
% 1.63/2.45 cnf('1.1.2.2.2.1',plain,[subset(13 ^ [], set_difference(14 ^ [], singleton(15 ^ [])))],extension(3)).
% 1.63/2.45 cnf('1.1.2.2.3',plain,[-(in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 14 ^ [])), subset(13 ^ [], 14 ^ []), in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ [])],extension(10,bind([[_34592, _34706, _34536], [14 ^ [], 5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ []]]))).
% 1.63/2.45 cnf('1.1.2.2.3.1',plain,[-(subset(13 ^ [], 14 ^ []))],extension(1)).
% 1.63/2.45 cnf('1.1.2.2.3.2',plain,[-(in(5 ^ [set_difference(14 ^ [], singleton(15 ^ [])), 13 ^ []], 13 ^ []))],lemmata('1.1')).
% 1.63/2.45 cnf('1.1.3',plain,[-(13 ^ [] = 13 ^ [])],extension(5,bind([[_23666], [13 ^ []]]))).
% 1.63/2.45 %-----------------------------------------------------
% 1.63/2.46
% 1.63/2.46 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------