TSTP Solution File: SWW194+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW194+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 : Thu Jul 21 00:47:03 EDT 2022
% Result : Theorem 4.05s 4.56s
% Output : Proof 4.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWW194+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 4 07:30:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 4.05/4.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.10/4.57 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.10/4.58
% 4.10/4.58 %-----------------------------------------------------
% 4.10/4.58 fof(conj_0, conjecture, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____))), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 4.10/4.58 fof(fact__096abs_A_I2_A_K_Ax_J_A_060_061_A1_096, axiom, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096abs_A_I2_A_K_Ax_J_A_060_061_A1_096)).
% 4.10/4.58 fof(fact_abs__ge__zero, axiom, ! [_413975, _413978] : (class_Groups_Oordered__ab__group__add__abs(_413978) => c_Orderings_Oord__class_Oless__eq(_413978, c_Groups_Ozero__class_Ozero(_413978), c_Groups_Oabs__class_Oabs(_413978, _413975))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_abs__ge__zero)).
% 4.10/4.58 fof(fact_power__mono, axiom, ! [_414193, _414196, _414199, _414202] : (class_Rings_Olinordered__semidom(_414202) => c_Orderings_Oord__class_Oless__eq(_414202, _414199, _414196) => c_Orderings_Oord__class_Oless__eq(_414202, c_Groups_Ozero__class_Ozero(_414202), _414199) => c_Orderings_Oord__class_Oless__eq(_414202, hAPP(hAPP(c_Power_Opower__class_Opower(_414202), _414199), _414193), hAPP(hAPP(c_Power_Opower__class_Opower(_414202), _414196), _414193))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_power__mono)).
% 4.10/4.58 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs, axiom, class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)).
% 4.10/4.58 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom, axiom, class_Rings_Olinordered__semidom(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% 4.10/4.58
% 4.10/4.58 cnf(1, plain, [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____))), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], clausify(conj_0)).
% 4.10/4.58 cnf(2, plain, [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], clausify(fact__096abs_A_I2_A_K_Ax_J_A_060_061_A1_096)).
% 4.10/4.58 cnf(3, plain, [class_Groups_Oordered__ab__group__add__abs(_74807), -(c_Orderings_Oord__class_Oless__eq(_74807, c_Groups_Ozero__class_Ozero(_74807), c_Groups_Oabs__class_Oabs(_74807, _74806)))], clausify(fact_abs__ge__zero)).
% 4.10/4.58 cnf(4, plain, [class_Rings_Olinordered__semidom(_76766), c_Orderings_Oord__class_Oless__eq(_76766, _76765, _76764), c_Orderings_Oord__class_Oless__eq(_76766, c_Groups_Ozero__class_Ozero(_76766), _76765), -(c_Orderings_Oord__class_Oless__eq(_76766, hAPP(hAPP(c_Power_Opower__class_Opower(_76766), _76765), _76763), hAPP(hAPP(c_Power_Opower__class_Opower(_76766), _76764), _76763)))], clausify(fact_power__mono)).
% 4.10/4.58 cnf(5, plain, [-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)).
% 4.10/4.58 cnf(6, plain, [-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% 4.10/4.58
% 4.10/4.58 cnf('1',plain,[c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____))), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))],start(1)).
% 4.10/4.58 cnf('1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____))), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), class_Rings_Olinordered__semidom(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____)))],extension(4,bind([[_76763, _76764, _76766, _76765], [c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal), tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____))]]))).
% 4.10/4.58 cnf('1.1.1',plain,[-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))],extension(6)).
% 4.10/4.58 cnf('1.1.2',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))],extension(2)).
% 4.10/4.58 cnf('1.1.3',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____)))), class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)],extension(3,bind([[_74806, _74807], [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), v_x____), tc_RealDef_Oreal]]))).
% 4.10/4.58 cnf('1.1.3.1',plain,[-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))],extension(5)).
% 4.10/4.58 %-----------------------------------------------------
% 4.10/4.58
% 4.10/4.59 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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