TSTP Solution File: KLE051+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KLE051+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% 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 : 300s
% DateTime : Sat Sep 17 17:14:33 EDT 2022
% Result : Theorem 12.11s 2.12s
% Output : Proof 12.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE051+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n024.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 : 300
% 0.12/0.33 % DateTime : Thu Sep 1 08:10:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000047s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 17
% 0.12/0.34 Launch Gotab with destructive = true
% 12.11/2.12 % SZS output start Proof for theBenchmark.p
% 12.11/2.12 [0] ALPHA_AND : ((! [A4_4, B5_5] : (=(addition(A4_4, B5_5), addition(B5_5, A4_4))) & ! [C6_6, B7_7, A8_8] : (=(addition(A8_8, addition(B7_7, C6_6)), addition(addition(A8_8, B7_7), C6_6))) & ! [A9_9] : (=(addition(A9_9, zero), A9_9)) & ! [A10_10] : (=(addition(A10_10, A10_10), A10_10)) & ! [A11_11, B12_12, C13_13] : (=(multiplication(A11_11, multiplication(B12_12, C13_13)), multiplication(multiplication(A11_11, B12_12), C13_13))) & ! [A14_14] : (=(multiplication(A14_14, one), A14_14)) & ! [A15_15] : (=(multiplication(one, A15_15), A15_15)) & ! [A16_16, B17_17, C18_18] : (=(multiplication(A16_16, addition(B17_17, C18_18)), addition(multiplication(A16_16, B17_17), multiplication(A16_16, C18_18)))) & ! [A19_19, B20_20, C21_21] : (=(multiplication(addition(A19_19, B20_20), C21_21), addition(multiplication(A19_19, C21_21), multiplication(B20_20, C21_21)))) & ! [A22_22] : (=(multiplication(A22_22, zero), zero)) & ! [A23_23] : (=(multiplication(zero, A23_23), zero)) & ! [A24_24, B25_25] : ((leq(A24_24, B25_25) <=> =(addition(A24_24, B25_25), B25_25)))) & (! [X027_27] : (=(addition(X027_27, multiplication(domain(X027_27), X027_27)), multiplication(domain(X027_27), X027_27))) & ! [X028_28, X129_29] : (=(domain(multiplication(X028_28, X129_29)), domain(multiplication(X028_28, domain(X129_29))))) & ! [X030_30] : (=(addition(domain(X030_30), one), one)) & =(domain(zero), zero) & ! [X031_31, X132_32] : (=(domain(addition(X031_31, X132_32)), addition(domain(X031_31), domain(X132_32))))) & ~! [X033_33] : (=(addition(X033_33, X033_33), X033_33)))
% 12.11/2.12 -> [1] (! [A4_4, B5_5] : (=(addition(A4_4, B5_5), addition(B5_5, A4_4))) & ! [C6_6, B7_7, A8_8] : (=(addition(A8_8, addition(B7_7, C6_6)), addition(addition(A8_8, B7_7), C6_6))) & ! [A9_9] : (=(addition(A9_9, zero), A9_9)) & ! [A10_10] : (=(addition(A10_10, A10_10), A10_10)) & ! [A11_11, B12_12, C13_13] : (=(multiplication(A11_11, multiplication(B12_12, C13_13)), multiplication(multiplication(A11_11, B12_12), C13_13))) & ! [A14_14] : (=(multiplication(A14_14, one), A14_14)) & ! [A15_15] : (=(multiplication(one, A15_15), A15_15)) & ! [A16_16, B17_17, C18_18] : (=(multiplication(A16_16, addition(B17_17, C18_18)), addition(multiplication(A16_16, B17_17), multiplication(A16_16, C18_18)))) & ! [A19_19, B20_20, C21_21] : (=(multiplication(addition(A19_19, B20_20), C21_21), addition(multiplication(A19_19, C21_21), multiplication(B20_20, C21_21)))) & ! [A22_22] : (=(multiplication(A22_22, zero), zero)) & ! [A23_23] : (=(multiplication(zero, A23_23), zero)) & ! [A24_24, B25_25] : ((leq(A24_24, B25_25) <=> =(addition(A24_24, B25_25), B25_25)))), (! [X027_27] : (=(addition(X027_27, multiplication(domain(X027_27), X027_27)), multiplication(domain(X027_27), X027_27))) & ! [X028_28, X129_29] : (=(domain(multiplication(X028_28, X129_29)), domain(multiplication(X028_28, domain(X129_29))))) & ! [X030_30] : (=(addition(domain(X030_30), one), one)) & =(domain(zero), zero) & ! [X031_31, X132_32] : (=(domain(addition(X031_31, X132_32)), addition(domain(X031_31), domain(X132_32))))), ~! [X033_33] : (=(addition(X033_33, X033_33), X033_33))
% 12.11/2.12
% 12.11/2.12 [1] ALPHA_AND : (! [A4_4, B5_5] : (=(addition(A4_4, B5_5), addition(B5_5, A4_4))) & ! [C6_6, B7_7, A8_8] : (=(addition(A8_8, addition(B7_7, C6_6)), addition(addition(A8_8, B7_7), C6_6))) & ! [A9_9] : (=(addition(A9_9, zero), A9_9)) & ! [A10_10] : (=(addition(A10_10, A10_10), A10_10)) & ! [A11_11, B12_12, C13_13] : (=(multiplication(A11_11, multiplication(B12_12, C13_13)), multiplication(multiplication(A11_11, B12_12), C13_13))) & ! [A14_14] : (=(multiplication(A14_14, one), A14_14)) & ! [A15_15] : (=(multiplication(one, A15_15), A15_15)) & ! [A16_16, B17_17, C18_18] : (=(multiplication(A16_16, addition(B17_17, C18_18)), addition(multiplication(A16_16, B17_17), multiplication(A16_16, C18_18)))) & ! [A19_19, B20_20, C21_21] : (=(multiplication(addition(A19_19, B20_20), C21_21), addition(multiplication(A19_19, C21_21), multiplication(B20_20, C21_21)))) & ! [A22_22] : (=(multiplication(A22_22, zero), zero)) & ! [A23_23] : (=(multiplication(zero, A23_23), zero)) & ! [A24_24, B25_25] : ((leq(A24_24, B25_25) <=> =(addition(A24_24, B25_25), B25_25))))
% 12.11/2.12 -> [2] ! [A4_4, B5_5] : (=(addition(A4_4, B5_5), addition(B5_5, A4_4))), ! [C6_6, B7_7, A8_8] : (=(addition(A8_8, addition(B7_7, C6_6)), addition(addition(A8_8, B7_7), C6_6))), ! [A9_9] : (=(addition(A9_9, zero), A9_9)), ! [A10_10] : (=(addition(A10_10, A10_10), A10_10)), ! [A11_11, B12_12, C13_13] : (=(multiplication(A11_11, multiplication(B12_12, C13_13)), multiplication(multiplication(A11_11, B12_12), C13_13))), ! [A14_14] : (=(multiplication(A14_14, one), A14_14)), ! [A15_15] : (=(multiplication(one, A15_15), A15_15)), ! [A16_16, B17_17, C18_18] : (=(multiplication(A16_16, addition(B17_17, C18_18)), addition(multiplication(A16_16, B17_17), multiplication(A16_16, C18_18)))), ! [A19_19, B20_20, C21_21] : (=(multiplication(addition(A19_19, B20_20), C21_21), addition(multiplication(A19_19, C21_21), multiplication(B20_20, C21_21)))), ! [A22_22] : (=(multiplication(A22_22, zero), zero)), ! [A23_23] : (=(multiplication(zero, A23_23), zero)), ! [A24_24, B25_25] : ((leq(A24_24, B25_25) <=> =(addition(A24_24, B25_25), B25_25)))
% 12.11/2.12
% 12.11/2.12 [2] ALPHA_AND : (! [X027_27] : (=(addition(X027_27, multiplication(domain(X027_27), X027_27)), multiplication(domain(X027_27), X027_27))) & ! [X028_28, X129_29] : (=(domain(multiplication(X028_28, X129_29)), domain(multiplication(X028_28, domain(X129_29))))) & ! [X030_30] : (=(addition(domain(X030_30), one), one)) & =(domain(zero), zero) & ! [X031_31, X132_32] : (=(domain(addition(X031_31, X132_32)), addition(domain(X031_31), domain(X132_32)))))
% 12.11/2.12 -> [3] ! [X027_27] : (=(addition(X027_27, multiplication(domain(X027_27), X027_27)), multiplication(domain(X027_27), X027_27))), ! [X028_28, X129_29] : (=(domain(multiplication(X028_28, X129_29)), domain(multiplication(X028_28, domain(X129_29))))), ! [X030_30] : (=(addition(domain(X030_30), one), one)), =(domain(zero), zero), ! [X031_31, X132_32] : (=(domain(addition(X031_31, X132_32)), addition(domain(X031_31), domain(X132_32))))
% 12.11/2.12
% 12.11/2.12 [3] DELTA_NOT_FORALL : ~! [X033_33] : (=(addition(X033_33, X033_33), X033_33))
% 12.11/2.12 -> [4] ~=(addition(skolem_X03333, skolem_X03333), skolem_X03333)
% 12.11/2.12
% 12.11/2.12 [4] GAMMA_FORALL : ! [A4_4, B5_5] : (=(addition(A4_4, B5_5), addition(B5_5, A4_4)))
% 12.11/2.12 -> [5] =(addition(A4_0_0, B5_0_0), addition(B5_0_0, A4_0_0))
% 12.11/2.12
% 12.11/2.12 [5] GAMMA_FORALL : ! [C6_6, B7_7, A8_8] : (=(addition(A8_8, addition(B7_7, C6_6)), addition(addition(A8_8, B7_7), C6_6)))
% 12.11/2.12 -> [6] =(addition(A8_0_1, addition(B7_0_1, C6_0_1)), addition(addition(A8_0_1, B7_0_1), C6_0_1))
% 12.11/2.12
% 12.11/2.12 [6] GAMMA_FORALL : ! [A9_9] : (=(addition(A9_9, zero), A9_9))
% 12.11/2.12 -> [7] =(addition(A9_0_2, zero), A9_0_2)
% 12.11/2.12
% 12.11/2.12 [7] GAMMA_FORALL : ! [A10_10] : (=(addition(A10_10, A10_10), A10_10))
% 12.11/2.12 -> [8] =(addition(A10_0_3, A10_0_3), A10_0_3)
% 12.11/2.12
% 12.11/2.12 [8] CLOSURE : =(addition(A10_0_3, A10_0_3), A10_0_3)
% 12.11/2.12
% 12.11/2.12 % SZS output end Proof for theBenchmark.p
% 12.11/2.12 [1.785043s][1][Res] 16453 goroutines created
% 12.11/2.12 ==== Result ====
% 12.11/2.12 [1.785061s][1][Res] VALID
% 12.11/2.12 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------