%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 : Mon Jul 18 11:41:39 EDT 2022
% Result : Theorem 238.48s 229.62s
% Output : Proof 238.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jul 5 02:09:44 EDT 2022
% 0.20/0.34 % CPUTime :
% 238.48/229.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 238.53/229.63 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 238.53/229.63
% 238.53/229.63 %-----------------------------------------------------
% 238.53/229.63 fof(m__, conjecture, (? [_113465] : (aNaturalNumber0(_113465) & sdtasdt0(xn, xn) = sdtasdt0(xp, _113465)) | doDivides0(xp, sdtasdt0(xn, xn))) & (? [_113465] : (aNaturalNumber0(_113465) & xn = sdtasdt0(xp, _113465)) | doDivides0(xp, xn)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 238.53/229.63 fof(mSortsB_02, axiom, ! [_113787, _113790] : (aNaturalNumber0(_113787) & aNaturalNumber0(_113790) => aNaturalNumber0(sdtasdt0(_113787, _113790))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsB_02)).
% 238.53/229.63 fof(m__3025, hypothesis, (! xp) = sz10 & ! [_113971] : (aNaturalNumber0(_113971) & (? [_113986] : (aNaturalNumber0(_113986) & xp = sdtasdt0(_113971, _113986)) | doDivides0(_113971, xp)) => _113971 = sz10 | _113971 = xp) & isPrime0(xp), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__3025)).
% 238.53/229.63 fof(m__2987, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp) & (! xn) = sz00 & (! xm) = sz00 & (! xp) = sz00, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2987)).
% 238.53/229.63 fof(mPDP, axiom, ! [_114485, _114488, _114491] : (aNaturalNumber0(_114485) & aNaturalNumber0(_114488) & aNaturalNumber0(_114491) => isPrime0(_114491) & doDivides0(_114491, sdtasdt0(_114485, _114488)) => doDivides0(_114491, _114485) | doDivides0(_114491, _114488)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mPDP)).
% 238.53/229.63 fof(mDefDiv, definition, ! [_114771, _114774] : (aNaturalNumber0(_114771) & aNaturalNumber0(_114774) => (doDivides0(_114771, _114774) <=> ? [_114806] : (aNaturalNumber0(_114806) & _114774 = sdtasdt0(_114771, _114806)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefDiv)).
% 238.53/229.63 fof(m__3014, hypothesis, sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__3014)).
% 238.53/229.63
% 238.53/229.63 cnf(1, plain, [doDivides0(xp, sdtasdt0(xn, xn)), doDivides0(xp, xn)], clausify(m__)).
% 238.53/229.63 cnf(2, plain, [-(aNaturalNumber0(sdtasdt0(_35695, _35746))), aNaturalNumber0(_35695), aNaturalNumber0(_35746)], clausify(mSortsB_02)).
% 238.53/229.63 cnf(3, plain, [-(isPrime0(xp))], clausify(m__3025)).
% 238.53/229.63 cnf(4, plain, [-(_28712 = _28712)], theory(equality)).
% 238.53/229.63 cnf(5, plain, [-(aNaturalNumber0(xm))], clausify(m__2987)).
% 238.53/229.63 cnf(6, plain, [-(aNaturalNumber0(xp))], clausify(m__2987)).
% 238.53/229.63 cnf(7, plain, [-(aNaturalNumber0(xn))], clausify(m__2987)).
% 238.53/229.63 cnf(8, plain, [-(doDivides0(_30016, _30147)), doDivides0(_29949, _30082), _29949 = _30016, _30082 = _30147], theory(equality)).
% 238.53/229.63 cnf(9, plain, [_28865 = _28910, -(_28910 = _28865)], theory(equality)).
% 238.53/229.63 cnf(10, plain, [aNaturalNumber0(_58055), aNaturalNumber0(_57977), aNaturalNumber0(_57898), doDivides0(_58055, sdtasdt0(_57898, _57977)), isPrime0(_58055), -(doDivides0(_58055, _57898)), -(doDivides0(_58055, _57977))], clausify(mPDP)).
% 238.53/229.63 cnf(11, plain, [aNaturalNumber0(_51627), aNaturalNumber0(_51559), -(doDivides0(_51559, _51627)), aNaturalNumber0(_51845), _51627 = sdtasdt0(_51559, _51845)], clausify(mDefDiv)).
% 238.53/229.63 cnf(12, plain, [-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))], clausify(m__3014)).
% 238.53/229.63
% 238.53/229.63 cnf('1',plain,[doDivides0(xp, sdtasdt0(xn, xn)), doDivides0(xp, xn)],start(1)).
% 238.53/229.63 cnf('1.1',plain,[-(doDivides0(xp, sdtasdt0(xn, xn))), aNaturalNumber0(sdtasdt0(xn, xn)), aNaturalNumber0(xp), aNaturalNumber0(sdtasdt0(xm, xm)), sdtasdt0(xn, xn) = sdtasdt0(xp, sdtasdt0(xm, xm))],extension(11,bind([[_51627, _51559, _51845], [sdtasdt0(xn, xn), xp, sdtasdt0(xm, xm)]]))).
% 238.53/229.63 cnf('1.1.1',plain,[-(aNaturalNumber0(sdtasdt0(xn, xn))), aNaturalNumber0(xn), aNaturalNumber0(xn)],extension(2,bind([[_35695, _35746], [xn, xn]]))).
% 238.53/229.63 cnf('1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 238.53/229.63 cnf('1.1.1.2',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 238.53/229.63 cnf('1.1.2',plain,[-(aNaturalNumber0(xp))],extension(6)).
% 238.53/229.63 cnf('1.1.3',plain,[-(aNaturalNumber0(sdtasdt0(xm, xm))), aNaturalNumber0(xm), aNaturalNumber0(xm)],extension(2,bind([[_35695, _35746], [xm, xm]]))).
% 238.53/229.63 cnf('1.1.3.1',plain,[-(aNaturalNumber0(xm))],extension(5)).
% 238.53/229.63 cnf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(5)).
% 238.53/229.63 cnf('1.1.4',plain,[-(sdtasdt0(xn, xn) = sdtasdt0(xp, sdtasdt0(xm, xm))), sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn)],extension(9,bind([[_28865, _28910], [sdtasdt0(xp, sdtasdt0(xm, xm)), sdtasdt0(xn, xn)]]))).
% 238.53/229.63 cnf('1.1.4.1',plain,[-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))],extension(12)).
% 238.53/229.63 cnf('1.2',plain,[-(doDivides0(xp, xn)), doDivides0(xp, xn), xp = xp, xn = xn],extension(8,bind([[_29949, _30016, _30082, _30147], [xp, xp, xn, xn]]))).
% 238.53/229.63 cnf('1.2.1',plain,[-(doDivides0(xp, xn)), aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(xn), doDivides0(xp, sdtasdt0(xn, xn)), isPrime0(xp), -(doDivides0(xp, xn))],extension(10,bind([[_57898, _58055, _57977], [xn, xp, xn]]))).
% 238.53/229.63 cnf('1.2.1.1',plain,[-(aNaturalNumber0(xp))],extension(6)).
% 238.53/229.63 cnf('1.2.1.2',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 238.53/229.63 cnf('1.2.1.3',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 238.53/229.63 cnf('1.2.1.4',plain,[-(doDivides0(xp, sdtasdt0(xn, xn)))],lemmata('1')).
% 238.53/229.63 cnf('1.2.1.5',plain,[-(isPrime0(xp))],extension(3)).
% 238.53/229.63 cnf('1.2.1.6',plain,[doDivides0(xp, xn)],reduction('1.2')).
% 238.53/229.63 cnf('1.2.2',plain,[-(xp = xp)],extension(4,bind([[_28712], [xp]]))).
% 238.53/229.63 cnf('1.2.3',plain,[-(xn = xn)],extension(4,bind([[_28712], [xn]]))).
% 238.53/229.63 %-----------------------------------------------------
% 238.53/229.64
% 238.53/229.64 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------