TSTP Solution File: SWW225+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW225+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 00:47:06 EDT 2022
% Result : Theorem 2.99s 3.48s
% Output : Proof 2.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW225+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 21:32:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.99/3.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/3.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/3.49
% 2.99/3.49 %-----------------------------------------------------
% 2.99/3.49 fof(conj_0, conjecture, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))), hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 2.99/3.49 fof(fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096, axiom, c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____), hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096)).
% 2.99/3.49 fof(fact_Suc__le__mono, axiom, ! [_419129, _419132] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_419132), c_Nat_OSuc(_419129)) <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _419132, _419129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Suc__le__mono)).
% 2.99/3.49 fof(fact_real__of__nat__le__iff, axiom, ! [_419368, _419371] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_RealDef_Oreal(tc_Nat_Onat), _419371), hAPP(c_RealDef_Oreal(tc_Nat_Onat), _419368)) <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _419371, _419368)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_real__of__nat__le__iff)).
% 2.99/3.49
% 2.99/3.49 cnf(1, plain, [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))), hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))))], clausify(conj_0)).
% 2.99/3.49 cnf(2, plain, [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____), hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))], clausify(fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096)).
% 2.99/3.49 cnf(3, plain, [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_65819), c_Nat_OSuc(_65818))), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _65819, _65818)], clausify(fact_Suc__le__mono)).
% 2.99/3.49 cnf(4, plain, [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_RealDef_Oreal(tc_Nat_Onat), _67795), hAPP(c_RealDef_Oreal(tc_Nat_Onat), _67794))), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _67795, _67794)], clausify(fact_real__of__nat__le__iff)).
% 2.99/3.49
% 2.99/3.49 cnf('1',plain,[c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))), hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))))],start(1)).
% 2.99/3.49 cnf('1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))), hAPP(c_RealDef_Oreal(tc_Nat_Onat), c_Nat_OSuc(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))))), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)), c_Nat_OSuc(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))],extension(4,bind([[_67795, _67794], [c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)), c_Nat_OSuc(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))]]))).
% 2.99/3.49 cnf('1.1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)), c_Nat_OSuc(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____), hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))],extension(3,bind([[_65819, _65818], [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____), hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))]]))).
% 2.99/3.49 cnf('1.1.1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____), hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))],extension(2)).
% 2.99/3.49 %-----------------------------------------------------
% 2.99/3.50
% 2.99/3.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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