TSTP Solution File: SCT164+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SCT164+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 21:46:11 EDT 2022
% Result : Theorem 152.41s 148.02s
% Output : Proof 152.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SCT164+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 2 07:09:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 152.41/148.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 152.41/148.02 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 152.41/148.03
% 152.41/148.03 %-----------------------------------------------------
% 152.41/148.03 fof(fact_not__add__less2, axiom, ! [_658999, _659002] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _659002), _658999)), _658999)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__add__less2)).
% 152.41/148.03 fof(fact_finite__indi, axiom, c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_finite__indi)).
% 152.41/148.03 fof(fact_finite__imageI, axiom, ! [_659575, _659578, _659581, _659584] : (c_Finite__Set_Ofinite(_659584, _659581) => c_Finite__Set_Ofinite(_659578, c_Set_Oimage(_659584, _659578, _659575, _659581))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_finite__imageI)).
% 152.41/148.03 fof(fact_rangeI, axiom, ! [_659784, _659787, _659790, _659793] : hBOOL(hAPP(hAPP(c_member(_659793), hAPP(_659790, _659787)), c_Set_Oimage(_659784, _659793, _659790, c_Orderings_Otop__class_Otop(tc_fun(_659784, tc_HOL_Obool))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_rangeI)).
% 152.41/148.03 fof(fact_finite__nat__set__iff__bounded, axiom, ! [_660074] : (c_Finite__Set_Ofinite(tc_Nat_Onat, _660074) <=> ? [_660092] : ! [_660100] : (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _660100), _660074)) => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _660100), _660092)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_finite__nat__set__iff__bounded)).
% 152.41/148.03
% 152.41/148.03 cnf(1, plain, [hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _226158), _226106)), _226106))], clausify(fact_not__add__less2)).
% 152.41/148.03 cnf(2, plain, [-(c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))], clausify(fact_finite__indi)).
% 152.41/148.03 cnf(3, plain, [c_Finite__Set_Ofinite(_420181, _420123), -(c_Finite__Set_Ofinite(_420064, c_Set_Oimage(_420181, _420064, _420004, _420123)))], clausify(fact_finite__imageI)).
% 152.41/148.03 cnf(4, plain, [-(hBOOL(hAPP(hAPP(c_member(_431954), hAPP(_431887, _431819)), c_Set_Oimage(_431750, _431954, _431887, c_Orderings_Otop__class_Otop(tc_fun(_431750, tc_HOL_Obool))))))], clausify(fact_rangeI)).
% 152.41/148.03 cnf(5, plain, [c_Finite__Set_Ofinite(tc_Nat_Onat, _474301), hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _559180), _474301)), -(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _559180), 197 ^ [_474301])))], clausify(fact_finite__nat__set__iff__bounded)).
% 152.41/148.03
% 152.41/148.03 cnf('1',plain,[hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))],start(1,bind([[_226158, _226106], [_654066, 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]]]))).
% 152.41/148.03 cnf('1.1',plain,[-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))), c_Finite__Set_Ofinite(tc_Nat_Onat, c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))), hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))))],extension(5,bind([[_559180, _474301], [hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]), c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]]))).
% 152.41/148.03 cnf('1.1.1',plain,[-(c_Finite__Set_Ofinite(tc_Nat_Onat, c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))), c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))],extension(3,bind([[_420064, _420004, _420181, _420123], [tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))]]))).
% 152.41/148.03 cnf('1.1.1.1',plain,[-(c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))],extension(2)).
% 152.41/148.03 cnf('1.1.2',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), 197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))))],extension(4,bind([[_431819, _431954, _431887, _431750], [197 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))], tc_Nat_Onat, hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _654066), tc_Arrow__Order__Mirabelle_Oindi]]))).
% 152.41/148.03 %-----------------------------------------------------
% 152.41/148.03
% 152.41/148.03 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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