%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 12:01:52 EDT 2022
% Result : Theorem 51.34s 50.25s
% Output : Proof 51.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 10:47:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 51.34/50.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.34/50.25 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.34/50.26
% 51.34/50.26 %-----------------------------------------------------
% 51.34/50.26 fof(t15_pre_topc, conjecture, ! [_82354] : (one_sorted_str(_82354) => ! [_82369] : (element(_82369, powerset(the_carrier(_82354))) => subset_intersection2(the_carrier(_82354), _82369, cast_as_carrier_subset(_82354)) = _82369)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t15_pre_topc)).
% 51.34/50.26 fof(redefinition_k5_subset_1, axiom, ! [_82729, _82732, _82735] : (element(_82732, powerset(_82729)) & element(_82735, powerset(_82729)) => subset_intersection2(_82729, _82732, _82735) = set_intersection2(_82732, _82735)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k5_subset_1)).
% 51.34/50.26 fof(dt_k2_pre_topc, axiom, ! [_82967] : (one_sorted_str(_82967) => element(cast_as_carrier_subset(_82967), powerset(the_carrier(_82967)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_pre_topc)).
% 51.34/50.26 fof(t3_subset, axiom, ! [_83124, _83127] : (element(_83124, powerset(_83127)) <=> subset(_83124, _83127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_subset)).
% 51.34/50.26 fof(d3_pre_topc, axiom, ! [_83280] : (one_sorted_str(_83280) => cast_as_carrier_subset(_83280) = the_carrier(_83280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_pre_topc)).
% 51.34/50.26 fof(t28_xboole_1, axiom, ! [_83422, _83425] : (subset(_83422, _83425) => set_intersection2(_83422, _83425) = _83422), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t28_xboole_1)).
% 51.34/50.26
% 51.34/50.26 cnf(1, plain, [-(one_sorted_str(24 ^ []))], clausify(t15_pre_topc)).
% 51.34/50.26 cnf(2, plain, [-(element(25 ^ [], powerset(the_carrier(24 ^ []))))], clausify(t15_pre_topc)).
% 51.34/50.26 cnf(3, plain, [subset_intersection2(the_carrier(24 ^ []), 25 ^ [], cast_as_carrier_subset(24 ^ [])) = 25 ^ []], clausify(t15_pre_topc)).
% 51.34/50.26 cnf(4, plain, [-(set_intersection2(_34010, _34143) = set_intersection2(_34077, _34208)), _34010 = _34077, _34143 = _34208], theory(equality)).
% 51.34/50.26 cnf(5, plain, [-(_26409 = _26409)], theory(equality)).
% 51.34/50.26 cnf(6, plain, [-(_26841 = _26952), _26841 = _26897, _26897 = _26952], theory(equality)).
% 51.34/50.26 cnf(7, plain, [-(subset_intersection2(_54639, _54706, _54772) = set_intersection2(_54706, _54772)), element(_54706, powerset(_54639)), element(_54772, powerset(_54639))], clausify(redefinition_k5_subset_1)).
% 51.34/50.26 cnf(8, plain, [one_sorted_str(_55418), -(element(cast_as_carrier_subset(_55418), powerset(the_carrier(_55418))))], clausify(dt_k2_pre_topc)).
% 51.34/50.26 cnf(9, plain, [element(_57046, powerset(_57093)), -(subset(_57046, _57093))], clausify(t3_subset)).
% 51.34/50.26 cnf(10, plain, [one_sorted_str(_57376), -(cast_as_carrier_subset(_57376) = the_carrier(_57376))], clausify(d3_pre_topc)).
% 51.34/50.26 cnf(11, plain, [subset(_57634, _57682), -(set_intersection2(_57634, _57682) = _57634)], clausify(t28_xboole_1)).
% 51.34/50.26
% 51.34/50.26 cnf('1',plain,[-(one_sorted_str(24 ^ []))],start(1)).
% 51.34/50.26 cnf('1.1',plain,[one_sorted_str(24 ^ []), -(cast_as_carrier_subset(24 ^ []) = the_carrier(24 ^ []))],extension(10,bind([[_57376], [24 ^ []]]))).
% 51.34/50.26 cnf('1.1.1',plain,[cast_as_carrier_subset(24 ^ []) = the_carrier(24 ^ []), -(set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ [])) = set_intersection2(25 ^ [], the_carrier(24 ^ []))), 25 ^ [] = 25 ^ []],extension(4,bind([[_34143, _34208, _34010, _34077], [cast_as_carrier_subset(24 ^ []), the_carrier(24 ^ []), 25 ^ [], 25 ^ []]]))).
% 51.34/50.26 cnf('1.1.1.1',plain,[set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ [])) = set_intersection2(25 ^ [], the_carrier(24 ^ [])), -(set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ [])) = 25 ^ []), set_intersection2(25 ^ [], the_carrier(24 ^ [])) = 25 ^ []],extension(6,bind([[_26841, _26897, _26952], [set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ [])), set_intersection2(25 ^ [], the_carrier(24 ^ [])), 25 ^ []]]))).
% 51.34/50.26 cnf('1.1.1.1.1',plain,[set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ [])) = 25 ^ [], -(subset_intersection2(the_carrier(24 ^ []), 25 ^ [], cast_as_carrier_subset(24 ^ [])) = 25 ^ []), subset_intersection2(the_carrier(24 ^ []), 25 ^ [], cast_as_carrier_subset(24 ^ [])) = set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ []))],extension(6,bind([[_26952, _26841, _26897], [25 ^ [], subset_intersection2(the_carrier(24 ^ []), 25 ^ [], cast_as_carrier_subset(24 ^ [])), set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ []))]]))).
% 51.34/50.26 cnf('1.1.1.1.1.1',plain,[subset_intersection2(the_carrier(24 ^ []), 25 ^ [], cast_as_carrier_subset(24 ^ [])) = 25 ^ []],extension(3)).
% 51.34/50.26 cnf('1.1.1.1.1.2',plain,[-(subset_intersection2(the_carrier(24 ^ []), 25 ^ [], cast_as_carrier_subset(24 ^ [])) = set_intersection2(25 ^ [], cast_as_carrier_subset(24 ^ []))), element(25 ^ [], powerset(the_carrier(24 ^ []))), element(cast_as_carrier_subset(24 ^ []), powerset(the_carrier(24 ^ [])))],extension(7,bind([[_54706, _54772, _54639], [25 ^ [], cast_as_carrier_subset(24 ^ []), the_carrier(24 ^ [])]]))).
% 51.34/50.26 cnf('1.1.1.1.1.2.1',plain,[-(element(25 ^ [], powerset(the_carrier(24 ^ []))))],extension(2)).
% 51.34/50.26 cnf('1.1.1.1.1.2.2',plain,[-(element(cast_as_carrier_subset(24 ^ []), powerset(the_carrier(24 ^ [])))), one_sorted_str(24 ^ [])],extension(8,bind([[_55418], [24 ^ []]]))).
% 51.34/50.26 cnf('1.1.1.1.1.2.2.1',plain,[-(one_sorted_str(24 ^ []))],extension(1)).
% 51.34/50.26 cnf('1.1.1.1.2',plain,[-(set_intersection2(25 ^ [], the_carrier(24 ^ [])) = 25 ^ []), subset(25 ^ [], the_carrier(24 ^ []))],extension(11,bind([[_57634, _57682], [25 ^ [], the_carrier(24 ^ [])]]))).
% 51.34/50.26 cnf('1.1.1.1.2.1',plain,[-(subset(25 ^ [], the_carrier(24 ^ []))), element(25 ^ [], powerset(the_carrier(24 ^ [])))],extension(9,bind([[_57046, _57093], [25 ^ [], the_carrier(24 ^ [])]]))).
% 51.34/50.26 cnf('1.1.1.1.2.1.1',plain,[-(element(25 ^ [], powerset(the_carrier(24 ^ []))))],extension(2)).
% 51.34/50.26 cnf('1.1.1.2',plain,[-(25 ^ [] = 25 ^ [])],extension(5,bind([[_26409], [25 ^ []]]))).
% 51.34/50.26 %-----------------------------------------------------
% 51.34/50.27
% 51.34/50.27 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------