TSTP Solution File: SEU110+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU110+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 12:00:10 EDT 2022
% Result : Theorem 208.54s 201.36s
% Output : Proof 208.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU110+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 20:41:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 208.54/201.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 208.54/201.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 208.54/201.38
% 208.54/201.38 %-----------------------------------------------------
% 208.54/201.38 fof(t23_finsub_1, conjecture, ! [_66886, _66889] : (subset(_66886, _66889) => subset(finite_subsets(_66886), finite_subsets(_66889))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t23_finsub_1)).
% 208.54/201.38 fof(cc2_finsub_1, axiom, ! [_67109] : (cup_closed(_67109) & diff_closed(_67109) => preboolean(_67109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_finsub_1)).
% 208.54/201.38 fof(cc3_finsub_1, axiom, ! [_67251, _67254] : (element(_67254, finite_subsets(_67251)) => finite(_67254)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc3_finsub_1)).
% 208.54/201.38 fof(d3_tarski, axiom, ! [_67400, _67403] : (subset(_67400, _67403) <=> ! [_67421] : (in(_67421, _67400) => in(_67421, _67403))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 208.54/201.38 fof(d5_finsub_1, axiom, ! [_67605, _67608] : (preboolean(_67608) => (_67608 = finite_subsets(_67605) <=> ! [_67633] : (in(_67633, _67608) <=> subset(_67633, _67605) & finite(_67633)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_finsub_1)).
% 208.54/201.38 fof(fc2_finsub_1, axiom, ! [_67881] : (~ empty(finite_subsets(_67881)) & cup_closed(finite_subsets(_67881)) & diff_closed(finite_subsets(_67881)) & preboolean(finite_subsets(_67881))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc2_finsub_1)).
% 208.54/201.38 fof(t1_xboole_1, axiom, ! [_68107, _68110, _68113] : (subset(_68107, _68110) & subset(_68110, _68113) => subset(_68107, _68113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_xboole_1)).
% 208.54/201.38 fof(t1_subset, axiom, ! [_68325, _68328] : (in(_68325, _68328) => element(_68325, _68328)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_subset)).
% 208.54/201.38
% 208.54/201.38 cnf(1, plain, [-(subset(13 ^ [], 14 ^ []))], clausify(t23_finsub_1)).
% 208.54/201.38 cnf(2, plain, [subset(finite_subsets(13 ^ []), finite_subsets(14 ^ []))], clausify(t23_finsub_1)).
% 208.54/201.38 cnf(3, plain, [-(_15972 = _15972)], theory(equality)).
% 208.54/201.38 cnf(4, plain, [-(in(_20203, _20334)), in(_20136, _20269), _20136 = _20203, _20269 = _20334], theory(equality)).
% 208.54/201.38 cnf(5, plain, [-(preboolean(_25131)), cup_closed(_25131), diff_closed(_25131)], clausify(cc2_finsub_1)).
% 208.54/201.38 cnf(6, plain, [element(_25445, finite_subsets(_25399)), -(finite(_25445))], clausify(cc3_finsub_1)).
% 208.54/201.38 cnf(7, plain, [-(subset(_25706, _25762)), in(1 ^ [_25762, _25706], _25762)], clausify(d3_tarski)).
% 208.54/201.38 cnf(8, plain, [preboolean(_26235), _26235 = finite_subsets(_26167), in(_26415, _26235), -(subset(_26415, _26167))], clausify(d5_finsub_1)).
% 208.54/201.38 cnf(9, plain, [preboolean(_26235), _26235 = finite_subsets(_26167), -(in(_26415, _26235)), subset(_26415, _26167), finite(_26415)], clausify(d5_finsub_1)).
% 208.54/201.38 cnf(10, plain, [-(cup_closed(finite_subsets(_27890)))], clausify(fc2_finsub_1)).
% 208.54/201.38 cnf(11, plain, [-(diff_closed(finite_subsets(_27890)))], clausify(fc2_finsub_1)).
% 208.54/201.38 cnf(12, plain, [-(subset(_32254, _32365)), subset(_32254, _32310), subset(_32310, _32365)], clausify(t1_xboole_1)).
% 208.54/201.38 cnf(13, plain, [-(subset(_25706, _25762)), -(in(1 ^ [_25762, _25706], _25706))], clausify(d3_tarski)).
% 208.54/201.38 cnf(14, plain, [in(_31944, _31989), -(element(_31944, _31989))], clausify(t1_subset)).
% 208.54/201.38
% 208.54/201.38 cnf('1',plain,[subset(finite_subsets(13 ^ []), finite_subsets(14 ^ []))],start(2)).
% 208.54/201.38 cnf('1.1',plain,[-(subset(finite_subsets(13 ^ []), finite_subsets(14 ^ []))), -(in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ [])))],extension(13,bind([[_25762, _25706], [finite_subsets(14 ^ []), finite_subsets(13 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1',plain,[in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ [])), preboolean(finite_subsets(13 ^ [])), finite_subsets(13 ^ []) = finite_subsets(13 ^ []), -(subset(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 13 ^ []))],extension(8,bind([[_26235, _26415, _26167], [finite_subsets(13 ^ []), 1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 13 ^ []]]))).
% 208.54/201.38 cnf('1.1.1.1',plain,[-(preboolean(finite_subsets(13 ^ []))), cup_closed(finite_subsets(13 ^ [])), diff_closed(finite_subsets(13 ^ []))],extension(5,bind([[_25131], [finite_subsets(13 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.1.1',plain,[-(cup_closed(finite_subsets(13 ^ [])))],extension(10,bind([[_27890], [13 ^ []]]))).
% 208.54/201.38 cnf('1.1.1.1.2',plain,[-(diff_closed(finite_subsets(13 ^ [])))],extension(11,bind([[_27890], [13 ^ []]]))).
% 208.54/201.38 cnf('1.1.1.2',plain,[-(finite_subsets(13 ^ []) = finite_subsets(13 ^ []))],extension(3,bind([[_15972], [finite_subsets(13 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.3',plain,[subset(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 13 ^ []), -(subset(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 14 ^ [])), subset(13 ^ [], 14 ^ [])],extension(12,bind([[_32254, _32310, _32365], [1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 13 ^ [], 14 ^ []]]))).
% 208.54/201.38 cnf('1.1.1.3.1',plain,[subset(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 14 ^ []), preboolean(finite_subsets(14 ^ [])), finite_subsets(14 ^ []) = finite_subsets(14 ^ []), -(in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(14 ^ []))), finite(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])])],extension(9,bind([[_26167, _26235, _26415], [14 ^ [], finite_subsets(14 ^ []), 1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])]]]))).
% 208.54/201.38 cnf('1.1.1.3.1.1',plain,[-(preboolean(finite_subsets(14 ^ []))), cup_closed(finite_subsets(14 ^ [])), diff_closed(finite_subsets(14 ^ []))],extension(5,bind([[_25131], [finite_subsets(14 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.3.1.1.1',plain,[-(cup_closed(finite_subsets(14 ^ [])))],extension(10,bind([[_27890], [14 ^ []]]))).
% 208.54/201.38 cnf('1.1.1.3.1.1.2',plain,[-(diff_closed(finite_subsets(14 ^ [])))],extension(11,bind([[_27890], [14 ^ []]]))).
% 208.54/201.38 cnf('1.1.1.3.1.2',plain,[-(finite_subsets(14 ^ []) = finite_subsets(14 ^ []))],extension(3,bind([[_15972], [finite_subsets(14 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.3.1.3',plain,[in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(14 ^ [])), -(in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(14 ^ []))), 1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])] = 1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(14 ^ []) = finite_subsets(14 ^ [])],extension(4,bind([[_20136, _20203, _20269, _20334], [1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(14 ^ []), finite_subsets(14 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.3.1.3.1',plain,[in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(14 ^ [])), -(subset(finite_subsets(13 ^ []), finite_subsets(14 ^ [])))],extension(7,bind([[_25706, _25762], [finite_subsets(13 ^ []), finite_subsets(14 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.3.1.3.1.1',plain,[subset(finite_subsets(13 ^ []), finite_subsets(14 ^ []))],extension(2)).
% 208.54/201.38 cnf('1.1.1.3.1.3.2',plain,[-(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])] = 1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])])],extension(3,bind([[_15972], [1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])]]]))).
% 208.54/201.38 cnf('1.1.1.3.1.3.3',plain,[-(finite_subsets(14 ^ []) = finite_subsets(14 ^ []))],extension(3,bind([[_15972], [finite_subsets(14 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.3.1.4',plain,[-(finite(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])])), element(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ []))],extension(6,bind([[_25445, _25399], [1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], 13 ^ []]]))).
% 208.54/201.38 cnf('1.1.1.3.1.4.1',plain,[-(element(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ []))), in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ []))],extension(14,bind([[_31944, _31989], [1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ [])]]))).
% 208.54/201.38 cnf('1.1.1.3.1.4.1.1',plain,[-(in(1 ^ [finite_subsets(14 ^ []), finite_subsets(13 ^ [])], finite_subsets(13 ^ [])))],reduction('1.1')).
% 208.54/201.38 cnf('1.1.1.3.2',plain,[-(subset(13 ^ [], 14 ^ []))],extension(1)).
% 208.54/201.38 %-----------------------------------------------------
% 208.56/201.39
% 208.56/201.39 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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