TSTP Solution File: SET721+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 02:55:35 EDT 2022
% Result : Theorem 11.15s 11.80s
% Output : Proof 11.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n026.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
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 01:11:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 11.15/11.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.23/11.81 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.23/11.81
% 11.23/11.81 %-----------------------------------------------------
% 11.23/11.81 fof(thII12, conjecture, ! [_133738, _133741, _133744, _133747, _133750] : (maps(_133738, _133744, _133747) & maps(_133741, _133747, _133750) & injective(compose_function(_133741, _133738, _133744, _133747, _133750), _133744, _133750) => injective(_133738, _133744, _133747)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thII12)).
% 11.23/11.81 fof(maps, axiom, ! [_134155, _134158, _134161] : (maps(_134155, _134158, _134161) <=> ! [_134182] : (member(_134182, _134158) => ? [_134200] : (member(_134200, _134161) & apply(_134155, _134182, _134200))) & ! [_134182, _134233, _134236] : (member(_134182, _134158) & member(_134233, _134161) & member(_134236, _134161) => apply(_134155, _134182, _134233) & apply(_134155, _134182, _134236) => _134233 = _134236)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', maps)).
% 11.23/11.81 fof(compose_function, axiom, ! [_134697, _134700, _134703, _134706, _134709, _134712, _134715] : (member(_134712, _134703) & member(_134715, _134709) => (apply(compose_function(_134697, _134700, _134703, _134706, _134709), _134712, _134715) <=> ? [_134772] : (member(_134772, _134706) & apply(_134700, _134712, _134772) & apply(_134697, _134772, _134715)))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', compose_function)).
% 11.23/11.81 fof(injective, axiom, ! [_135108, _135111, _135114] : (injective(_135108, _135111, _135114) <=> ! [_135135, _135138, _135141] : (member(_135135, _135111) & member(_135138, _135111) & member(_135141, _135114) => apply(_135108, _135135, _135141) & apply(_135108, _135138, _135141) => _135135 = _135138)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax', injective)).
% 11.23/11.81
% 11.23/11.81 cnf(1, plain, [-(maps(42 ^ [], 44 ^ [], 45 ^ []))], clausify(thII12)).
% 11.23/11.81 cnf(2, plain, [-(injective(compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 43 ^ [], 45 ^ []))], clausify(thII12)).
% 11.23/11.81 cnf(3, plain, [injective(41 ^ [], 43 ^ [], 44 ^ [])], clausify(thII12)).
% 11.23/11.81 cnf(4, plain, [-(_24046 = _24046)], theory(equality)).
% 11.23/11.81 cnf(5, plain, [-(member(_41061, _41192)), member(_40994, _41127), _40994 = _41061, _41127 = _41192], theory(equality)).
% 11.23/11.81 cnf(6, plain, [maps(_59790, _59917, _60043), member(_60277, _59917), -(member(4 ^ [_60277, _60043, _59917, _59790], _60043))], clausify(maps)).
% 11.23/11.81 cnf(7, plain, [maps(_59790, _59917, _60043), member(_60277, _59917), -(apply(_59790, _60277, 4 ^ [_60277, _60043, _59917, _59790]))], clausify(maps)).
% 11.23/11.81 cnf(8, plain, [member(_64088, _63881), member(_63985, _63670), -(apply(compose_function(_63455, _63563, _63670, _63776, _63881), _63985, _64088)), member(_64580, _63776), apply(_63563, _63985, _64580), apply(_63455, _64580, _64088)], clausify(compose_function)).
% 11.23/11.81 cnf(9, plain, [-(injective(_67076, _67174, _67271)), -(member(18 ^ [_67271, _67174, _67076], _67174))], clausify(injective)).
% 11.23/11.81 cnf(10, plain, [-(injective(_67076, _67174, _67271)), -(member(19 ^ [_67271, _67174, _67076], _67174))], clausify(injective)).
% 11.23/11.81 cnf(11, plain, [-(injective(_67076, _67174, _67271)), -(member(20 ^ [_67271, _67174, _67076], _67271))], clausify(injective)).
% 11.23/11.81 cnf(12, plain, [-(injective(_67076, _67174, _67271)), -(apply(_67076, 18 ^ [_67271, _67174, _67076], 20 ^ [_67271, _67174, _67076]))], clausify(injective)).
% 11.23/11.81 cnf(13, plain, [-(injective(_67076, _67174, _67271)), -(apply(_67076, 19 ^ [_67271, _67174, _67076], 20 ^ [_67271, _67174, _67076]))], clausify(injective)).
% 11.23/11.81 cnf(14, plain, [-(injective(_67076, _67174, _67271)), 18 ^ [_67271, _67174, _67076] = 19 ^ [_67271, _67174, _67076]], clausify(injective)).
% 11.23/11.81 cnf(15, plain, [injective(_67076, _67174, _67271), member(_67641, _67271), member(_67554, _67174), member(_67466, _67174), -(_67466 = _67554), apply(_67076, _67466, _67641), apply(_67076, _67554, _67641)], clausify(injective)).
% 11.23/11.81
% 11.23/11.81 cnf('1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],start(3)).
% 11.23/11.81 cnf('1.1',plain,[-(injective(41 ^ [], 43 ^ [], 44 ^ [])), 18 ^ [44 ^ [], 43 ^ [], 41 ^ []] = 19 ^ [44 ^ [], 43 ^ [], 41 ^ []]],extension(14,bind([[_67271, _67174, _67076], [44 ^ [], 43 ^ [], 41 ^ []]]))).
% 11.23/11.81 cnf('1.1.1',plain,[-(18 ^ [44 ^ [], 43 ^ [], 41 ^ []] = 19 ^ [44 ^ [], 43 ^ [], 41 ^ []]), injective(compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 43 ^ [], 45 ^ []), member(4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []], 45 ^ []), member(19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ []), member(18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ []), apply(compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []]), apply(compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []])],extension(15,bind([[_67271, _67174, _67466, _67076, _67554, _67641], [45 ^ [], 43 ^ [], 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []]]]))).
% 11.23/11.81 cnf('1.1.1.1',plain,[-(injective(compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 43 ^ [], 45 ^ []))],extension(2)).
% 11.23/11.81 cnf('1.1.1.2',plain,[-(member(4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []], 45 ^ [])), maps(42 ^ [], 44 ^ [], 45 ^ []), member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ [])],extension(6,bind([[_59790, _60043, _60277, _59917], [42 ^ [], 45 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.2.1',plain,[-(maps(42 ^ [], 44 ^ [], 45 ^ []))],extension(1)).
% 11.23/11.81 cnf('1.1.1.2.2',plain,[-(member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ [])), -(injective(41 ^ [], 43 ^ [], 44 ^ []))],extension(11,bind([[_67076, _67174, _67271], [41 ^ [], 43 ^ [], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.2.2.1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],extension(3)).
% 11.23/11.81 cnf('1.1.1.3',plain,[-(member(19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ [])), -(injective(41 ^ [], 43 ^ [], 44 ^ []))],extension(10,bind([[_67076, _67174, _67271], [41 ^ [], 43 ^ [], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.3.1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],extension(3)).
% 11.23/11.81 cnf('1.1.1.4',plain,[-(member(18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ [])), member(18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ []), 18 ^ [44 ^ [], 43 ^ [], 41 ^ []] = 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ [] = 43 ^ []],extension(5,bind([[_40994, _41061, _41127, _41192], [18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ [], 43 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.4.1',plain,[-(member(18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ [])), -(injective(41 ^ [], 43 ^ [], 44 ^ []))],extension(9,bind([[_67076, _67174, _67271], [41 ^ [], 43 ^ [], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.4.1.1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],extension(3)).
% 11.23/11.81 cnf('1.1.1.4.2',plain,[-(18 ^ [44 ^ [], 43 ^ [], 41 ^ []] = 18 ^ [44 ^ [], 43 ^ [], 41 ^ []])],extension(4,bind([[_24046], [18 ^ [44 ^ [], 43 ^ [], 41 ^ []]]]))).
% 11.23/11.81 cnf('1.1.1.4.3',plain,[-(43 ^ [] = 43 ^ [])],extension(4,bind([[_24046], [43 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.5',plain,[-(apply(compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []])), member(4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []], 45 ^ []), member(18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ []), member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ []), apply(41 ^ [], 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []]), apply(42 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []])],extension(8,bind([[_63881, _63670, _63776, _63563, _63985, _63455, _64580, _64088], [45 ^ [], 43 ^ [], 44 ^ [], 41 ^ [], 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 42 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []]]]))).
% 11.23/11.81 cnf('1.1.1.5.1',plain,[-(member(4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []], 45 ^ []))],lemmata('1.1.1')).
% 11.23/11.81 cnf('1.1.1.5.2',plain,[-(member(18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ []))],lemmata('1.1.1')).
% 11.23/11.81 cnf('1.1.1.5.3',plain,[-(member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ [])), -(injective(41 ^ [], 43 ^ [], 44 ^ []))],extension(11,bind([[_67076, _67174, _67271], [41 ^ [], 43 ^ [], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.5.3.1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],extension(3)).
% 11.23/11.81 cnf('1.1.1.5.4',plain,[-(apply(41 ^ [], 18 ^ [44 ^ [], 43 ^ [], 41 ^ []], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []])), -(injective(41 ^ [], 43 ^ [], 44 ^ []))],extension(12,bind([[_67076, _67174, _67271], [41 ^ [], 43 ^ [], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.5.4.1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],extension(3)).
% 11.23/11.81 cnf('1.1.1.5.5',plain,[-(apply(42 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []])), maps(42 ^ [], 44 ^ [], 45 ^ []), member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ [])],extension(7,bind([[_59790, _60043, _60277, _59917], [42 ^ [], 45 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.5.5.1',plain,[-(maps(42 ^ [], 44 ^ [], 45 ^ []))],extension(1)).
% 11.23/11.81 cnf('1.1.1.5.5.2',plain,[-(member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ []))],lemmata('1.1.1.5')).
% 11.23/11.81 cnf('1.1.1.6',plain,[-(apply(compose_function(42 ^ [], 41 ^ [], 43 ^ [], 44 ^ [], 45 ^ []), 19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []])), member(4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []], 45 ^ []), member(19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ []), member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ []), apply(41 ^ [], 19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []]), apply(42 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []])],extension(8,bind([[_63881, _63670, _63776, _63563, _63985, _63455, _64580, _64088], [45 ^ [], 43 ^ [], 44 ^ [], 41 ^ [], 19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 42 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []]]]))).
% 11.23/11.81 cnf('1.1.1.6.1',plain,[-(member(4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []], 45 ^ []))],lemmata('1.1.1')).
% 11.23/11.81 cnf('1.1.1.6.2',plain,[-(member(19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 43 ^ []))],lemmata('1.1.1')).
% 11.23/11.81 cnf('1.1.1.6.3',plain,[-(member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ [])), -(injective(41 ^ [], 43 ^ [], 44 ^ []))],extension(11,bind([[_67076, _67174, _67271], [41 ^ [], 43 ^ [], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.6.3.1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],extension(3)).
% 11.23/11.81 cnf('1.1.1.6.4',plain,[-(apply(41 ^ [], 19 ^ [44 ^ [], 43 ^ [], 41 ^ []], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []])), -(injective(41 ^ [], 43 ^ [], 44 ^ []))],extension(13,bind([[_67076, _67174, _67271], [41 ^ [], 43 ^ [], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.6.4.1',plain,[injective(41 ^ [], 43 ^ [], 44 ^ [])],extension(3)).
% 11.23/11.81 cnf('1.1.1.6.5',plain,[-(apply(42 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 4 ^ [20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 45 ^ [], 44 ^ [], 42 ^ []])), maps(42 ^ [], 44 ^ [], 45 ^ []), member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ [])],extension(7,bind([[_59790, _60043, _60277, _59917], [42 ^ [], 45 ^ [], 20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ []]]))).
% 11.23/11.81 cnf('1.1.1.6.5.1',plain,[-(maps(42 ^ [], 44 ^ [], 45 ^ []))],extension(1)).
% 11.23/11.81 cnf('1.1.1.6.5.2',plain,[-(member(20 ^ [44 ^ [], 43 ^ [], 41 ^ []], 44 ^ []))],lemmata('1.1.1.6')).
% 11.23/11.81 %-----------------------------------------------------
% 11.23/11.82
% 11.23/11.82 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------