0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : leancop_casc.sh %s %d 0.10/0.31 % Computer : n029.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 07:06:01 EDT 2020 0.10/0.31 % CPUTime : 20.08/20.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 20.08/20.03 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 20.12/20.03 20.12/20.03 %----------------------------------------------------- 20.12/20.03 fof(co1, conjecture, ! [_177247] : (ssList(_177247) => ! [_177262] : (ssList(_177262) => ! [_177277] : (! [_177285] : ((! _177277) = _177247 | ~ neq(_177262, nil) | nil = _177285 & (! _177277) = nil | ! [_177327] : ((! _177277) = cons(_177327, nil) | ~ memberP(_177285, _177327) <= ssItem(_177327)) & neq(_177285, nil) | neq(_177247, nil) | (! _177262) = _177285 <= ssList(_177285)) <= ssList(_177277)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)). 20.12/20.03 fof(ax52, axiom, ! [_178013] : ((rearsegP(nil, _178013) <=> nil = _178013) <= ssList(_178013)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax52)). 20.12/20.03 fof(ax15, axiom, ! [_178168] : (ssList(_178168) => ! [_178183] : (((! _178183) = _178168 <=> neq(_178168, _178183)) <= ssList(_178183))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax15)). 20.12/20.03 fof(ax4, axiom, ! [_178384] : (ssList(_178384) => (? [_178399] : (_178384 = cons(_178399, nil) & ssItem(_178399)) <=> singletonP(_178384))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax4)). 20.12/20.03 fof(ax49, axiom, ! [_178612] : (ssList(_178612) => rearsegP(_178612, _178612)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax49)). 20.12/20.03 fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax17)). 20.12/20.03 fof(ax39, axiom, ~ singletonP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax39)). 20.12/20.03 20.12/20.03 cnf(1, plain, [-(53 ^ []), -(50 ^ [] = cons(52 ^ [], nil))], clausify(co1)). 20.12/20.03 cnf(2, plain, [-(53 ^ []), -(ssItem(52 ^ []))], clausify(co1)). 20.12/20.03 cnf(3, plain, [-(ssList(48 ^ []))], clausify(co1)). 20.12/20.03 cnf(4, plain, [-(ssList(50 ^ []))], clausify(co1)). 20.12/20.03 cnf(5, plain, [-(50 ^ [] = 48 ^ [])], clausify(co1)). 20.12/20.03 cnf(6, plain, [-(neq(49 ^ [], nil))], clausify(co1)). 20.12/20.03 cnf(7, plain, [neq(48 ^ [], nil)], clausify(co1)). 20.12/20.03 cnf(8, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)). 20.12/20.03 cnf(9, plain, [53 ^ [], neq(51 ^ [], nil)], clausify(co1)). 20.12/20.03 cnf(10, plain, [-(_56287 = _56287)], theory(equality)). 20.12/20.03 cnf(11, plain, [_56440 = _56485, -(_56485 = _56440)], theory(equality)). 20.12/20.03 cnf(12, plain, [-(neq(_61993, _62124)), neq(_61926, _62059), _61926 = _61993, _62059 = _62124], theory(equality)). 20.12/20.03 cnf(13, plain, [-(rearsegP(_62617, _62748)), rearsegP(_62550, _62683), _62550 = _62617, _62683 = _62748], theory(equality)). 20.12/20.03 cnf(14, plain, [-(ssList(_64505)), _64456 = _64505, ssList(_64456)], theory(equality)). 20.12/20.03 cnf(15, plain, [ssList(_68353), rearsegP(nil, _68353), -(nil = _68353)], clausify(ax52)). 20.12/20.03 cnf(16, plain, [ssList(_69129), ssList(_69224), -(_69224 = _69129), -(neq(_69129, _69224))], clausify(ax15)). 20.12/20.03 cnf(17, plain, [ssList(_70617), -(singletonP(_70617)), _70617 = cons(_70723, nil), ssItem(_70723)], clausify(ax4)). 20.12/20.03 cnf(18, plain, [ssList(_74140), -(rearsegP(_74140, _74140))], clausify(ax49)). 20.12/20.03 cnf(19, plain, [-(ssList(nil))], clausify(ax17)). 20.12/20.03 cnf(20, plain, [singletonP(nil)], clausify(ax39)). 20.12/20.03 20.12/20.03 cnf('1',plain,[53 ^ [], neq(51 ^ [], nil)],start(9)). 20.12/20.03 cnf('1.1',plain,[-(53 ^ []), -(50 ^ [] = cons(52 ^ [], nil))],extension(1)). 20.12/20.03 cnf('1.1.1',plain,[50 ^ [] = cons(52 ^ [], nil), -(rearsegP(nil, cons(52 ^ [], nil))), rearsegP(48 ^ [], 50 ^ []), 48 ^ [] = nil],extension(13,bind([[_62748, _62683, _62550, _62617], [cons(52 ^ [], nil), 50 ^ [], 48 ^ [], nil]]))). 20.12/20.03 cnf('1.1.1.1',plain,[rearsegP(nil, cons(52 ^ [], nil)), ssList(cons(52 ^ [], nil)), -(nil = cons(52 ^ [], nil))],extension(15,bind([[_68353], [cons(52 ^ [], nil)]]))). 20.12/20.03 cnf('1.1.1.1.1',plain,[-(ssList(cons(52 ^ [], nil))), 50 ^ [] = cons(52 ^ [], nil), ssList(50 ^ [])],extension(14,bind([[_64505, _64456], [cons(52 ^ [], nil), 50 ^ []]]))). 20.12/20.03 cnf('1.1.1.1.1.1',plain,[-(50 ^ [] = cons(52 ^ [], nil))],reduction('1.1')). 20.12/20.03 cnf('1.1.1.1.1.2',plain,[-(ssList(50 ^ []))],extension(4)). 20.12/20.03 cnf('1.1.1.1.2',plain,[nil = cons(52 ^ [], nil), ssList(nil), -(singletonP(nil)), ssItem(52 ^ [])],extension(17,bind([[_70617, _70723], [nil, 52 ^ []]]))). 20.12/20.03 cnf('1.1.1.1.2.1',plain,[-(ssList(nil))],extension(19)). 20.12/20.03 cnf('1.1.1.1.2.2',plain,[singletonP(nil)],extension(20)). 20.12/20.03 cnf('1.1.1.1.2.3',plain,[-(ssItem(52 ^ [])), -(53 ^ [])],extension(2)). 20.12/20.03 cnf('1.1.1.1.2.3.1',plain,[53 ^ []],reduction('1')). 20.12/20.03 cnf('1.1.1.2',plain,[-(rearsegP(48 ^ [], 50 ^ [])), rearsegP(48 ^ [], 48 ^ []), 48 ^ [] = 48 ^ [], 48 ^ [] = 50 ^ []],extension(13,bind([[_62550, _62617, _62683, _62748], [48 ^ [], 48 ^ [], 48 ^ [], 50 ^ []]]))). 20.12/20.03 cnf('1.1.1.2.1',plain,[-(rearsegP(48 ^ [], 48 ^ [])), ssList(48 ^ [])],extension(18,bind([[_74140], [48 ^ []]]))). 20.12/20.03 cnf('1.1.1.2.1.1',plain,[-(ssList(48 ^ []))],extension(3)). 20.12/20.03 cnf('1.1.1.2.2',plain,[-(48 ^ [] = 48 ^ [])],extension(10,bind([[_56287], [48 ^ []]]))). 20.12/20.03 cnf('1.1.1.2.3',plain,[-(48 ^ [] = 50 ^ []), 50 ^ [] = 48 ^ []],extension(11,bind([[_56440, _56485], [50 ^ [], 48 ^ []]]))). 20.12/20.03 cnf('1.1.1.2.3.1',plain,[-(50 ^ [] = 48 ^ [])],extension(5)). 20.12/20.03 cnf('1.1.1.3',plain,[-(48 ^ [] = nil), nil = 48 ^ []],extension(11,bind([[_56440, _56485], [nil, 48 ^ []]]))). 20.12/20.03 cnf('1.1.1.3.1',plain,[-(nil = 48 ^ []), ssList(48 ^ []), ssList(nil), -(neq(48 ^ [], nil))],extension(16,bind([[_69129, _69224], [48 ^ [], nil]]))). 20.12/20.03 cnf('1.1.1.3.1.1',plain,[-(ssList(48 ^ []))],extension(3)). 20.12/20.03 cnf('1.1.1.3.1.2',plain,[-(ssList(nil))],extension(19)). 20.12/20.03 cnf('1.1.1.3.1.3',plain,[neq(48 ^ [], nil)],extension(7)). 20.12/20.03 cnf('1.2',plain,[-(neq(51 ^ [], nil)), neq(49 ^ [], nil), 49 ^ [] = 51 ^ [], nil = nil],extension(12,bind([[_61926, _61993, _62059, _62124], [49 ^ [], 51 ^ [], nil, nil]]))). 20.12/20.03 cnf('1.2.1',plain,[-(neq(49 ^ [], nil))],extension(6)). 20.12/20.03 cnf('1.2.2',plain,[-(49 ^ [] = 51 ^ [])],extension(8)). 20.12/20.03 cnf('1.2.3',plain,[-(nil = nil)],extension(10,bind([[_56287], [nil]]))). 20.12/20.03 %----------------------------------------------------- 20.12/20.04 20.12/20.04 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 20.12/20.04 EOF