TSTP Solution File: SET677+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 02:55:19 EDT 2022
% Result : Theorem 0.37s 1.41s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 Jul 10 01:42:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42 fof(prove_relset_1_44, conjecture, ! [_73946] : (ilf_type(_73946, set_type) => ! [_73964] : (ilf_type(_73964, identity_relation_of_type(_73946)) => subset(identity_relation_of(_73946), _73964) => _73946 = domain(_73946, _73946, _73964) & _73946 = range(_73946, _73946, _73964))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_relset_1_44)).
% 0.37/1.42 fof(p1, axiom, ! [_74304] : (ilf_type(_74304, set_type) => ! [_74322] : (ilf_type(_74322, set_type) => ! [_74340] : (ilf_type(_74340, relation_type(_74322, _74304)) => subset(identity_relation_of(_74322), _74340) => _74322 = domain(_74322, _74304, _74340) & subset(_74322, range(_74322, _74304, _74340))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p1)).
% 0.37/1.42 fof(p2, axiom, ! [_74680] : (ilf_type(_74680, set_type) => ! [_74698] : (ilf_type(_74698, set_type) => ! [_74716] : (ilf_type(_74716, relation_type(_74680, _74698)) => subset(identity_relation_of(_74698), _74716) => subset(_74698, domain(_74680, _74698, _74716)) & _74698 = range(_74680, _74698, _74716)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p2)).
% 0.37/1.42 fof(p5, axiom, ! [_75058] : (ilf_type(_75058, set_type) => ! [_75076] : (ilf_type(_75076, set_type) => (ilf_type(_75076, identity_relation_of_type(_75058)) <=> ilf_type(_75076, relation_type(_75058, _75058))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p5)).
% 0.37/1.42 fof(p34, axiom, ! [_75356] : ilf_type(_75356, set_type), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p34)).
% 0.37/1.42
% 0.37/1.42 cnf(1, plain, [-(ilf_type(14 ^ [], set_type))], clausify(prove_relset_1_44)).
% 0.37/1.42 cnf(2, plain, [-(ilf_type(15 ^ [], identity_relation_of_type(14 ^ [])))], clausify(prove_relset_1_44)).
% 0.37/1.42 cnf(3, plain, [-(subset(identity_relation_of(14 ^ []), 15 ^ []))], clausify(prove_relset_1_44)).
% 0.37/1.42 cnf(4, plain, [14 ^ [] = domain(14 ^ [], 14 ^ [], 15 ^ []), 14 ^ [] = range(14 ^ [], 14 ^ [], 15 ^ [])], clausify(prove_relset_1_44)).
% 0.37/1.42 cnf(5, plain, [ilf_type(_31885, set_type), ilf_type(_32031, set_type), ilf_type(_32170, relation_type(_32031, _31885)), subset(identity_relation_of(_32031), _32170), -(_32031 = domain(_32031, _31885, _32170))], clausify(p1)).
% 0.37/1.42 cnf(6, plain, [ilf_type(_32856, set_type), ilf_type(_33002, set_type), ilf_type(_33141, relation_type(_32856, _33002)), subset(identity_relation_of(_33002), _33141), -(_33002 = range(_32856, _33002, _33141))], clausify(p2)).
% 0.37/1.42 cnf(7, plain, [ilf_type(_34892, set_type), ilf_type(_35013, set_type), ilf_type(_35013, identity_relation_of_type(_34892)), -(ilf_type(_35013, relation_type(_34892, _34892)))], clausify(p5)).
% 0.37/1.42 cnf(8, plain, [-(ilf_type(_49986, set_type))], clausify(p34)).
% 0.37/1.42
% 0.37/1.42 cnf('1',plain,[14 ^ [] = domain(14 ^ [], 14 ^ [], 15 ^ []), 14 ^ [] = range(14 ^ [], 14 ^ [], 15 ^ [])],start(4)).
% 0.37/1.42 cnf('1.1',plain,[-(14 ^ [] = domain(14 ^ [], 14 ^ [], 15 ^ [])), ilf_type(14 ^ [], set_type), ilf_type(14 ^ [], set_type), ilf_type(15 ^ [], relation_type(14 ^ [], 14 ^ [])), subset(identity_relation_of(14 ^ []), 15 ^ [])],extension(5,bind([[_31885, _32031, _32170], [14 ^ [], 14 ^ [], 15 ^ []]]))).
% 0.37/1.42 cnf('1.1.1',plain,[-(ilf_type(14 ^ [], set_type))],extension(1)).
% 0.37/1.42 cnf('1.1.2',plain,[-(ilf_type(14 ^ [], set_type))],extension(1)).
% 0.37/1.42 cnf('1.1.3',plain,[-(ilf_type(15 ^ [], relation_type(14 ^ [], 14 ^ []))), ilf_type(14 ^ [], set_type), ilf_type(15 ^ [], set_type), ilf_type(15 ^ [], identity_relation_of_type(14 ^ []))],extension(7,bind([[_35013, _34892], [15 ^ [], 14 ^ []]]))).
% 0.37/1.42 cnf('1.1.3.1',plain,[-(ilf_type(14 ^ [], set_type))],extension(1)).
% 0.37/1.42 cnf('1.1.3.2',plain,[-(ilf_type(15 ^ [], set_type))],extension(8,bind([[_49986], [15 ^ []]]))).
% 0.37/1.42 cnf('1.1.3.3',plain,[-(ilf_type(15 ^ [], identity_relation_of_type(14 ^ [])))],extension(2)).
% 0.37/1.42 cnf('1.1.4',plain,[-(subset(identity_relation_of(14 ^ []), 15 ^ []))],extension(3)).
% 0.37/1.42 cnf('1.2',plain,[-(14 ^ [] = range(14 ^ [], 14 ^ [], 15 ^ [])), ilf_type(14 ^ [], set_type), ilf_type(14 ^ [], set_type), ilf_type(15 ^ [], relation_type(14 ^ [], 14 ^ [])), subset(identity_relation_of(14 ^ []), 15 ^ [])],extension(6,bind([[_32856, _33002, _33141], [14 ^ [], 14 ^ [], 15 ^ []]]))).
% 0.37/1.42 cnf('1.2.1',plain,[-(ilf_type(14 ^ [], set_type))],extension(1)).
% 0.37/1.42 cnf('1.2.2',plain,[-(ilf_type(14 ^ [], set_type))],extension(1)).
% 0.37/1.42 cnf('1.2.3',plain,[-(ilf_type(15 ^ [], relation_type(14 ^ [], 14 ^ []))), ilf_type(14 ^ [], set_type), ilf_type(15 ^ [], set_type), ilf_type(15 ^ [], identity_relation_of_type(14 ^ []))],extension(7,bind([[_35013, _34892], [15 ^ [], 14 ^ []]]))).
% 0.37/1.42 cnf('1.2.3.1',plain,[-(ilf_type(14 ^ [], set_type))],extension(1)).
% 0.37/1.42 cnf('1.2.3.2',plain,[-(ilf_type(15 ^ [], set_type))],extension(8,bind([[_49986], [15 ^ []]]))).
% 0.37/1.42 cnf('1.2.3.3',plain,[-(ilf_type(15 ^ [], identity_relation_of_type(14 ^ [])))],extension(2)).
% 0.37/1.42 cnf('1.2.4',plain,[-(subset(identity_relation_of(14 ^ []), 15 ^ []))],extension(3)).
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.43
% 0.37/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------