TSTP Solution File: SEU350+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 12:02:11 EDT 2022
% Result : Theorem 240.91s 232.00s
% Output : Proof 240.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n006.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 Jun 19 11:52:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 240.91/232.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 240.91/232.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 240.91/232.01
% 240.91/232.01 %-----------------------------------------------------
% 240.91/232.01 fof(t31_lattice3, conjecture, ! [_168460, _168463] : (~ empty_carrier(_168463) & lattice(_168463) & latt_str(_168463) => ! [_168494] : (element(_168494, the_carrier(poset_of_lattice(_168463))) => (relstr_set_smaller(poset_of_lattice(_168463), _168460, _168494) <=> latt_element_smaller(_168463, cast_to_el_of_lattice(_168463, _168494), _168460)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t31_lattice3)).
% 240.91/232.01 fof(t30_lattice3, axiom, ! [_168791, _168794] : (~ empty_carrier(_168794) & lattice(_168794) & latt_str(_168794) => ! [_168825] : (element(_168825, the_carrier(_168794)) => (latt_element_smaller(_168794, _168825, _168791) <=> relstr_set_smaller(poset_of_lattice(_168794), _168791, cast_to_el_of_LattPOSet(_168794, _168825))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_lattice3)).
% 240.91/232.01 fof(dt_k5_lattice3, axiom, ! [_169139, _169142] : (~ empty_carrier(_169139) & lattice(_169139) & latt_str(_169139) & element(_169142, the_carrier(poset_of_lattice(_169139))) => element(cast_to_el_of_lattice(_169139, _169142), the_carrier(_169139))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_lattice3)).
% 240.91/232.01 fof(d4_lattice3, axiom, ! [_169402] : (~ empty_carrier(_169402) & lattice(_169402) & latt_str(_169402) => ! [_169433] : (element(_169433, the_carrier(poset_of_lattice(_169402))) => cast_to_el_of_lattice(_169402, _169433) = _169433)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_lattice3)).
% 240.91/232.01 fof(d2_lattice3, axiom, ! [_169786] : (~ empty_carrier(_169786) & lattice(_169786) & latt_str(_169786) => poset_of_lattice(_169786) = rel_str_of(the_carrier(_169786), k2_lattice3(_169786))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_lattice3)).
% 240.91/232.01 fof(d3_lattice3, axiom, ! [_170137] : (~ empty_carrier(_170137) & lattice(_170137) & latt_str(_170137) => ! [_170168] : (element(_170168, the_carrier(_170137)) => cast_to_el_of_LattPOSet(_170137, _170168) = _170168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_lattice3)).
% 240.91/232.01
% 240.91/232.01 cnf(1, plain, [20 ^ [], 21 ^ []], clausify(t31_lattice3)).
% 240.91/232.01 cnf(2, plain, [latt_str(_74209), lattice(_74209), -(empty_carrier(_74209)), element(_74450, the_carrier(_74209)), -(latt_element_smaller(_74209, _74450, _74127)), relstr_set_smaller(poset_of_lattice(_74209), _74127, cast_to_el_of_LattPOSet(_74209, _74450))], clausify(t30_lattice3)).
% 240.91/232.01 cnf(3, plain, [-(21 ^ []), relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ [])], clausify(t31_lattice3)).
% 240.91/232.01 cnf(4, plain, [-(element(cast_to_el_of_lattice(_60165, _60236), the_carrier(_60165))), -(empty_carrier(_60165)), lattice(_60165), latt_str(_60165), element(_60236, the_carrier(poset_of_lattice(_60165)))], clausify(dt_k5_lattice3)).
% 240.91/232.01 cnf(5, plain, [-(cast_to_el_of_lattice(_56551, _56780) = _56780), element(_56780, the_carrier(poset_of_lattice(_56551))), -(empty_carrier(_56551)), lattice(_56551), latt_str(_56551)], clausify(d4_lattice3)).
% 240.91/232.01 cnf(6, plain, [-(21 ^ []), -(latt_element_smaller(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), 17 ^ []))], clausify(t31_lattice3)).
% 240.91/232.01 cnf(7, plain, [-(20 ^ []), latt_element_smaller(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), 17 ^ [])], clausify(t31_lattice3)).
% 240.91/232.01 cnf(8, plain, [_32930 = _32975, -(_32975 = _32930)], theory(equality)).
% 240.91/232.01 cnf(9, plain, [latt_str(_74209), lattice(_74209), -(empty_carrier(_74209)), element(_74450, the_carrier(_74209)), latt_element_smaller(_74209, _74450, _74127), -(relstr_set_smaller(poset_of_lattice(_74209), _74127, cast_to_el_of_LattPOSet(_74209, _74450)))], clausify(t30_lattice3)).
% 240.91/232.01 cnf(10, plain, [-(relstr_set_smaller(_44344, _44511, _44674)), relstr_set_smaller(_44259, _44428, _44593), _44259 = _44344, _44428 = _44511, _44593 = _44674], theory(equality)).
% 240.91/232.01 cnf(11, plain, [-(20 ^ []), -(relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ []))], clausify(t31_lattice3)).
% 240.91/232.01 cnf(12, plain, [-(poset_of_lattice(_55526) = rel_str_of(the_carrier(_55526), k2_lattice3(_55526))), -(empty_carrier(_55526)), lattice(_55526), latt_str(_55526)], clausify(d2_lattice3)).
% 240.91/232.01 cnf(13, plain, [-(lattice(18 ^ []))], clausify(t31_lattice3)).
% 240.91/232.01 cnf(14, plain, [-(latt_str(18 ^ []))], clausify(t31_lattice3)).
% 240.91/232.01 cnf(15, plain, [-(_33209 = _33320), _33209 = _33265, _33265 = _33320], theory(equality)).
% 240.91/232.01 cnf(16, plain, [_50561 = _50610, -(poset_of_lattice(_50561) = poset_of_lattice(_50610))], theory(equality)).
% 240.91/232.01 cnf(17, plain, [empty_carrier(18 ^ [])], clausify(t31_lattice3)).
% 240.91/232.01 cnf(18, plain, [-(_32777 = _32777)], theory(equality)).
% 240.91/232.01 cnf(19, plain, [-(element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))))], clausify(t31_lattice3)).
% 240.91/232.01 cnf(20, plain, [-(cast_to_el_of_LattPOSet(_55986, _56213) = _56213), element(_56213, the_carrier(_55986)), -(empty_carrier(_55986)), lattice(_55986), latt_str(_55986)], clausify(d3_lattice3)).
% 240.91/232.01
% 240.91/232.01 cnf('1',plain,[20 ^ [], 21 ^ []],start(1)).
% 240.91/232.01 cnf('1.1',plain,[-(20 ^ []), latt_element_smaller(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), 17 ^ [])],extension(7)).
% 240.91/232.01 cnf('1.1.1',plain,[-(latt_element_smaller(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), 17 ^ [])), latt_str(18 ^ []), lattice(18 ^ []), -(empty_carrier(18 ^ [])), element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ [])), relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])))],extension(2,bind([[_74127, _74209, _74450], [17 ^ [], 18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])]]))).
% 240.91/232.01 cnf('1.1.1.1',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.1.1.2',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.3',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.4',plain,[-(element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ []), element(19 ^ [], the_carrier(poset_of_lattice(18 ^ [])))],extension(4,bind([[_60236, _60165], [19 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.4.1',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.4.2',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.4.3',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.1.1.4.4',plain,[-(element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))))],extension(19)).
% 240.91/232.01 cnf('1.1.1.5',plain,[-(relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])))), relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ []), poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ []), 17 ^ [] = 17 ^ [], 19 ^ [] = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))],extension(10,bind([[_44259, _44344, _44428, _44511, _44593, _44674], [poset_of_lattice(18 ^ []), poset_of_lattice(18 ^ []), 17 ^ [], 17 ^ [], 19 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))]]))).
% 240.91/232.01 cnf('1.1.1.5.1',plain,[-(relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ [])), relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])), poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ []), 17 ^ [] = 17 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []],extension(10,bind([[_44259, _44344, _44428, _44511, _44593, _44674], [poset_of_lattice(18 ^ []), poset_of_lattice(18 ^ []), 17 ^ [], 17 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), 19 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1',plain,[-(relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))), relstr_set_smaller(rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ [])), 17 ^ [], 19 ^ []), rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ [])) = poset_of_lattice(18 ^ []), 17 ^ [] = 17 ^ [], 19 ^ [] = cast_to_el_of_lattice(18 ^ [], 19 ^ [])],extension(10,bind([[_44259, _44344, _44428, _44511, _44593, _44674], [rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ [])), poset_of_lattice(18 ^ []), 17 ^ [], 17 ^ [], 19 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.1',plain,[-(relstr_set_smaller(rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ [])), 17 ^ [], 19 ^ [])), relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ []), poset_of_lattice(18 ^ []) = rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ [])), 17 ^ [] = 17 ^ [], 19 ^ [] = 19 ^ []],extension(10,bind([[_44259, _44344, _44428, _44511, _44593, _44674], [poset_of_lattice(18 ^ []), rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ [])), 17 ^ [], 17 ^ [], 19 ^ [], 19 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.1',plain,[-(relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ [])), -(20 ^ [])],extension(11)).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.1.1',plain,[20 ^ []],reduction('1')).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.2',plain,[-(poset_of_lattice(18 ^ []) = rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(12,bind([[_55526], [18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.2.1',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.2.2',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.2.3',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.3',plain,[-(17 ^ [] = 17 ^ [])],extension(18,bind([[_32777], [17 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.1.4',plain,[-(19 ^ [] = 19 ^ [])],extension(18,bind([[_32777], [19 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.2',plain,[-(rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ [])) = poset_of_lattice(18 ^ [])), poset_of_lattice(18 ^ []) = rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ []))],extension(8,bind([[_32930, _32975], [poset_of_lattice(18 ^ []), rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ []))]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.2.1',plain,[-(poset_of_lattice(18 ^ []) = rel_str_of(the_carrier(18 ^ []), k2_lattice3(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(12,bind([[_55526], [18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.2.1.1',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.5.1.1.2.1.2',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.5.1.1.2.1.3',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.1.1.5.1.1.3',plain,[-(17 ^ [] = 17 ^ []), 17 ^ [] = 17 ^ []],extension(8,bind([[_32930, _32975], [17 ^ [], 17 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(18,bind([[_32777], [17 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.4',plain,[-(19 ^ [] = cast_to_el_of_lattice(18 ^ [], 19 ^ [])), cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []],extension(8,bind([[_32930, _32975], [cast_to_el_of_lattice(18 ^ [], 19 ^ []), 19 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.4.1',plain,[-(cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []), element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(5,bind([[_56780, _56551], [19 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.1.4.1.1',plain,[-(element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))))],extension(19)).
% 240.91/232.01 cnf('1.1.1.5.1.1.4.1.2',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.5.1.1.4.1.3',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.5.1.1.4.1.4',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.1.1.5.1.2',plain,[-(poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ [])), poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ [])],extension(8,bind([[_32930, _32975], [poset_of_lattice(18 ^ []), poset_of_lattice(18 ^ [])]]))).
% 240.91/232.01 cnf('1.1.1.5.1.2.1',plain,[-(poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ [])), 18 ^ [] = 18 ^ []],extension(16,bind([[_50561, _50610], [18 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.2.1.1',plain,[-(18 ^ [] = 18 ^ [])],extension(18,bind([[_32777], [18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.3',plain,[-(17 ^ [] = 17 ^ []), 17 ^ [] = 17 ^ []],extension(8,bind([[_32930, _32975], [17 ^ [], 17 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(18,bind([[_32777], [17 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.4',plain,[-(cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []), element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(5,bind([[_56780, _56551], [19 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.1.4.1',plain,[-(element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))))],extension(19)).
% 240.91/232.01 cnf('1.1.1.5.1.4.2',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.5.1.4.3',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.5.1.4.4',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.1.1.5.2',plain,[-(poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ [])), 18 ^ [] = 18 ^ []],extension(16,bind([[_50561, _50610], [18 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.2.1',plain,[-(18 ^ [] = 18 ^ [])],extension(18,bind([[_32777], [18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.3',plain,[-(17 ^ [] = 17 ^ [])],extension(18,bind([[_32777], [17 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.4',plain,[-(19 ^ [] = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))), 19 ^ [] = cast_to_el_of_lattice(18 ^ [], 19 ^ []), cast_to_el_of_lattice(18 ^ [], 19 ^ []) = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))],extension(15,bind([[_33209, _33265, _33320], [19 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))]]))).
% 240.91/232.01 cnf('1.1.1.5.4.1',plain,[-(19 ^ [] = cast_to_el_of_lattice(18 ^ [], 19 ^ [])), cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []],extension(8,bind([[_32930, _32975], [cast_to_el_of_lattice(18 ^ [], 19 ^ []), 19 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.4.1.1',plain,[-(cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []), element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(5,bind([[_56780, _56551], [19 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.4.1.1.1',plain,[-(element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))))],extension(19)).
% 240.91/232.01 cnf('1.1.1.5.4.1.1.2',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.5.4.1.1.3',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.5.4.1.1.4',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.1.1.5.4.2',plain,[-(cast_to_el_of_lattice(18 ^ [], 19 ^ []) = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))), cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])) = cast_to_el_of_lattice(18 ^ [], 19 ^ [])],extension(8,bind([[_32930, _32975], [cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])), cast_to_el_of_lattice(18 ^ [], 19 ^ [])]]))).
% 240.91/232.01 cnf('1.1.1.5.4.2.1',plain,[-(cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])) = cast_to_el_of_lattice(18 ^ [], 19 ^ [])), element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ [])), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(20,bind([[_56213, _55986], [cast_to_el_of_lattice(18 ^ [], 19 ^ []), 18 ^ []]]))).
% 240.91/232.01 cnf('1.1.1.5.4.2.1.1',plain,[-(element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ [])))],lemmata('1.1.1')).
% 240.91/232.01 cnf('1.1.1.5.4.2.1.2',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.1.1.5.4.2.1.3',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.1.1.5.4.2.1.4',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.2',plain,[-(21 ^ []), -(latt_element_smaller(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), 17 ^ []))],extension(6)).
% 240.91/232.01 cnf('1.2.1',plain,[latt_element_smaller(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), 17 ^ []), latt_str(18 ^ []), lattice(18 ^ []), -(empty_carrier(18 ^ [])), element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ [])), -(relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))))],extension(9,bind([[_74127, _74209, _74450], [17 ^ [], 18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])]]))).
% 240.91/232.01 cnf('1.2.1.1',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.2.1.2',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.2.1.3',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.2.1.4',plain,[-(element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ []), element(19 ^ [], the_carrier(poset_of_lattice(18 ^ [])))],extension(4,bind([[_60236, _60165], [19 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.4.1',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.2.1.4.2',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.2.1.4.3',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.2.1.4.4',plain,[-(element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))))],extension(19)).
% 240.91/232.01 cnf('1.2.1.5',plain,[relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))), -(relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ [])), poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ []), 17 ^ [] = 17 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])) = 19 ^ []],extension(10,bind([[_44259, _44344, _44428, _44511, _44593, _44674], [poset_of_lattice(18 ^ []), poset_of_lattice(18 ^ []), 17 ^ [], 17 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])), 19 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.5.1',plain,[relstr_set_smaller(poset_of_lattice(18 ^ []), 17 ^ [], 19 ^ []), -(21 ^ [])],extension(3)).
% 240.91/232.01 cnf('1.2.1.5.1.1',plain,[21 ^ []],reduction('1')).
% 240.91/232.01 cnf('1.2.1.5.2',plain,[-(poset_of_lattice(18 ^ []) = poset_of_lattice(18 ^ [])), 18 ^ [] = 18 ^ []],extension(16,bind([[_50561, _50610], [18 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.5.2.1',plain,[-(18 ^ [] = 18 ^ [])],extension(18,bind([[_32777], [18 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.5.3',plain,[-(17 ^ [] = 17 ^ [])],extension(18,bind([[_32777], [17 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.5.4',plain,[-(cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])) = 19 ^ []), 19 ^ [] = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))],extension(8,bind([[_32930, _32975], [19 ^ [], cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))]]))).
% 240.91/232.01 cnf('1.2.1.5.4.1',plain,[-(19 ^ [] = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))), 19 ^ [] = cast_to_el_of_lattice(18 ^ [], 19 ^ []), cast_to_el_of_lattice(18 ^ [], 19 ^ []) = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))],extension(15,bind([[_33209, _33265, _33320], [19 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []), cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))]]))).
% 240.91/232.01 cnf('1.2.1.5.4.1.1',plain,[-(19 ^ [] = cast_to_el_of_lattice(18 ^ [], 19 ^ [])), cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []],extension(8,bind([[_32930, _32975], [cast_to_el_of_lattice(18 ^ [], 19 ^ []), 19 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.5.4.1.1.1',plain,[-(cast_to_el_of_lattice(18 ^ [], 19 ^ []) = 19 ^ []), element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(5,bind([[_56780, _56551], [19 ^ [], 18 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.5.4.1.1.1.1',plain,[-(element(19 ^ [], the_carrier(poset_of_lattice(18 ^ []))))],extension(19)).
% 240.91/232.01 cnf('1.2.1.5.4.1.1.1.2',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.2.1.5.4.1.1.1.3',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.2.1.5.4.1.1.1.4',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 cnf('1.2.1.5.4.1.2',plain,[-(cast_to_el_of_lattice(18 ^ [], 19 ^ []) = cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ []))), cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])) = cast_to_el_of_lattice(18 ^ [], 19 ^ [])],extension(8,bind([[_32930, _32975], [cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])), cast_to_el_of_lattice(18 ^ [], 19 ^ [])]]))).
% 240.91/232.01 cnf('1.2.1.5.4.1.2.1',plain,[-(cast_to_el_of_LattPOSet(18 ^ [], cast_to_el_of_lattice(18 ^ [], 19 ^ [])) = cast_to_el_of_lattice(18 ^ [], 19 ^ [])), element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ [])), -(empty_carrier(18 ^ [])), lattice(18 ^ []), latt_str(18 ^ [])],extension(20,bind([[_56213, _55986], [cast_to_el_of_lattice(18 ^ [], 19 ^ []), 18 ^ []]]))).
% 240.91/232.01 cnf('1.2.1.5.4.1.2.1.1',plain,[-(element(cast_to_el_of_lattice(18 ^ [], 19 ^ []), the_carrier(18 ^ [])))],lemmata('1.2.1')).
% 240.91/232.01 cnf('1.2.1.5.4.1.2.1.2',plain,[empty_carrier(18 ^ [])],extension(17)).
% 240.91/232.01 cnf('1.2.1.5.4.1.2.1.3',plain,[-(lattice(18 ^ []))],extension(13)).
% 240.91/232.01 cnf('1.2.1.5.4.1.2.1.4',plain,[-(latt_str(18 ^ []))],extension(14)).
% 240.91/232.01 %-----------------------------------------------------
% 240.91/232.02
% 240.91/232.02 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------