TSTP Solution File: NUM849+2 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n012.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 : Sun Sep 18 10:20:55 EDT 2022
% Result : Theorem 59.46s 8.96s
% Output : Proof 59.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n012.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 : Fri Sep 2 15:22:19 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 11
% 0.12/0.34 Launch Gotab with destructive = true
% 59.46/8.96 % SZS output start Proof for theBenchmark.p
% 59.46/8.96 [0] ALPHA_AND : (! [Vd45116_16] : ((=(vmul(vmul(vd448, vd449), Vd45116_16), vmul(vd448, vmul(vd449, Vd45116_16))) => =(vmul(vd448, vplus(vmul(vd449, Vd45116_16), vd449)), vmul(vd448, vmul(vd449, vsucc(Vd45116_16)))))) & ! [Vd45117_17] : ((=(vmul(vmul(vd448, vd449), Vd45117_17), vmul(vd448, vmul(vd449, Vd45117_17))) => =(vplus(vmul(vd448, vmul(vd449, Vd45117_17)), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, Vd45117_17), vd449))))) & ! [Vd45118_18] : ((=(vmul(vmul(vd448, vd449), Vd45118_18), vmul(vd448, vmul(vd449, Vd45118_18))) => =(vplus(vmul(vmul(vd448, vd449), Vd45118_18), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, Vd45118_18)), vmul(vd448, vd449))))) & ! [Vd45119_19] : ((=(vmul(vmul(vd448, vd449), Vd45119_19), vmul(vd448, vmul(vd449, Vd45119_19))) => =(vmul(vmul(vd448, vd449), vsucc(Vd45119_19)), vplus(vmul(vmul(vd448, vd449), Vd45119_19), vmul(vd448, vd449))))) & =(vmul(vd448, vd449), vmul(vd448, vmul(vd449, v1))) & ! [Vd43220_20, Vd43321_21, Vd43422_22] : (=(vmul(Vd43220_20, vplus(Vd43321_21, Vd43422_22)), vplus(vmul(Vd43220_20, Vd43321_21), vmul(Vd43220_20, Vd43422_22)))) & ! [Vd41823_23, Vd41924_24] : (=(vmul(Vd41823_23, Vd41924_24), vmul(Vd41924_24, Vd41823_23))) & ! [Vd40825_25, Vd40926_26] : (=(vmul(vsucc(Vd40825_25), Vd40926_26), vplus(vmul(Vd40825_25, Vd40926_26), Vd40926_26))) & ! [Vd39627_27, Vd39728_28] : ((=(vmul(Vd39627_27, vsucc(Vd39728_28)), vplus(vmul(Vd39627_27, Vd39728_28), Vd39627_27)) & =(vmul(Vd39627_27, v1), Vd39627_27))) & ! [Vd7829_29, Vd7930_30] : (=(vplus(Vd7930_30, Vd7829_29), vplus(Vd7829_29, Vd7930_30))) & ! [Vd4231_31, Vd4332_32] : ((=(vplus(Vd4231_31, vsucc(Vd4332_32)), vsucc(vplus(Vd4231_31, Vd4332_32))) & =(vplus(Vd4231_31, v1), vsucc(Vd4231_31)))) & ~! [Vd45415_15] : ((=(vmul(vmul(vd448, vd449), Vd45415_15), vmul(vd448, vmul(vd449, Vd45415_15))) => =(vmul(vmul(vd448, vd449), vsucc(Vd45415_15)), vmul(vd448, vmul(vd449, vsucc(Vd45415_15)))))))
% 59.46/8.96 -> [1] ! [Vd45116_16] : ((=(vmul(vmul(vd448, vd449), Vd45116_16), vmul(vd448, vmul(vd449, Vd45116_16))) => =(vmul(vd448, vplus(vmul(vd449, Vd45116_16), vd449)), vmul(vd448, vmul(vd449, vsucc(Vd45116_16)))))), ! [Vd45117_17] : ((=(vmul(vmul(vd448, vd449), Vd45117_17), vmul(vd448, vmul(vd449, Vd45117_17))) => =(vplus(vmul(vd448, vmul(vd449, Vd45117_17)), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, Vd45117_17), vd449))))), ! [Vd45118_18] : ((=(vmul(vmul(vd448, vd449), Vd45118_18), vmul(vd448, vmul(vd449, Vd45118_18))) => =(vplus(vmul(vmul(vd448, vd449), Vd45118_18), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, Vd45118_18)), vmul(vd448, vd449))))), ! [Vd45119_19] : ((=(vmul(vmul(vd448, vd449), Vd45119_19), vmul(vd448, vmul(vd449, Vd45119_19))) => =(vmul(vmul(vd448, vd449), vsucc(Vd45119_19)), vplus(vmul(vmul(vd448, vd449), Vd45119_19), vmul(vd448, vd449))))), =(vmul(vd448, vd449), vmul(vd448, vmul(vd449, v1))), ! [Vd43220_20, Vd43321_21, Vd43422_22] : (=(vmul(Vd43220_20, vplus(Vd43321_21, Vd43422_22)), vplus(vmul(Vd43220_20, Vd43321_21), vmul(Vd43220_20, Vd43422_22)))), ! [Vd41823_23, Vd41924_24] : (=(vmul(Vd41823_23, Vd41924_24), vmul(Vd41924_24, Vd41823_23))), ! [Vd40825_25, Vd40926_26] : (=(vmul(vsucc(Vd40825_25), Vd40926_26), vplus(vmul(Vd40825_25, Vd40926_26), Vd40926_26))), ! [Vd39627_27, Vd39728_28] : ((=(vmul(Vd39627_27, vsucc(Vd39728_28)), vplus(vmul(Vd39627_27, Vd39728_28), Vd39627_27)) & =(vmul(Vd39627_27, v1), Vd39627_27))), ! [Vd7829_29, Vd7930_30] : (=(vplus(Vd7930_30, Vd7829_29), vplus(Vd7829_29, Vd7930_30))), ! [Vd4231_31, Vd4332_32] : ((=(vplus(Vd4231_31, vsucc(Vd4332_32)), vsucc(vplus(Vd4231_31, Vd4332_32))) & =(vplus(Vd4231_31, v1), vsucc(Vd4231_31)))), ~! [Vd45415_15] : ((=(vmul(vmul(vd448, vd449), Vd45415_15), vmul(vd448, vmul(vd449, Vd45415_15))) => =(vmul(vmul(vd448, vd449), vsucc(Vd45415_15)), vmul(vd448, vmul(vd449, vsucc(Vd45415_15))))))
% 59.46/8.96
% 59.46/8.96 [1] DELTA_NOT_FORALL : ~! [Vd45415_15] : ((=(vmul(vmul(vd448, vd449), Vd45415_15), vmul(vd448, vmul(vd449, Vd45415_15))) => =(vmul(vmul(vd448, vd449), vsucc(Vd45415_15)), vmul(vd448, vmul(vd449, vsucc(Vd45415_15))))))
% 59.46/8.96 -> [2] ~(=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vmul(vmul(vd448, vd449), vsucc(skolem_Vd4541515)), vmul(vd448, vmul(vd449, vsucc(skolem_Vd4541515)))))
% 59.46/8.96
% 59.46/8.96 [2] ALPHA_NOT_IMPLY : ~(=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vmul(vmul(vd448, vd449), vsucc(skolem_Vd4541515)), vmul(vd448, vmul(vd449, vsucc(skolem_Vd4541515)))))
% 59.46/8.96 -> [3] =(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))), ~=(vmul(vmul(vd448, vd449), vsucc(skolem_Vd4541515)), vmul(vd448, vmul(vd449, vsucc(skolem_Vd4541515))))
% 59.46/8.96
% 59.46/8.96 [3] GAMMA_FORALL : ! [Vd45116_16] : ((=(vmul(vmul(vd448, vd449), Vd45116_16), vmul(vd448, vmul(vd449, Vd45116_16))) => =(vmul(vd448, vplus(vmul(vd449, Vd45116_16), vd449)), vmul(vd448, vmul(vd449, vsucc(Vd45116_16))))))
% 59.46/8.96 -> [4] (=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vmul(vd448, vplus(vmul(vd449, skolem_Vd4541515), vd449)), vmul(vd448, vmul(vd449, vsucc(skolem_Vd4541515)))))
% 59.46/8.96
% 59.46/8.96 [4] BETA_IMPLY : (=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vmul(vd448, vplus(vmul(vd449, skolem_Vd4541515), vd449)), vmul(vd448, vmul(vd449, vsucc(skolem_Vd4541515)))))
% 59.46/8.96 -> [5] ~=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515)))
% 59.46/8.96 -> [6] =(vmul(vd448, vplus(vmul(vd449, skolem_Vd4541515), vd449)), vmul(vd448, vmul(vd449, vsucc(skolem_Vd4541515))))
% 59.46/8.96
% 59.46/8.96 [5] CLOSURE : =
% 59.46/8.96
% 59.46/8.96 [6] GAMMA_FORALL : ! [Vd45117_17] : ((=(vmul(vmul(vd448, vd449), Vd45117_17), vmul(vd448, vmul(vd449, Vd45117_17))) => =(vplus(vmul(vd448, vmul(vd449, Vd45117_17)), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, Vd45117_17), vd449)))))
% 59.46/8.96 -> [7] (=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vplus(vmul(vd448, vmul(vd449, skolem_Vd4541515)), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, skolem_Vd4541515), vd449))))
% 59.46/8.96
% 59.46/8.96 [7] BETA_IMPLY : (=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vplus(vmul(vd448, vmul(vd449, skolem_Vd4541515)), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, skolem_Vd4541515), vd449))))
% 59.46/8.96 -> [8] ~=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515)))
% 59.46/8.96 -> [9] =(vplus(vmul(vd448, vmul(vd449, skolem_Vd4541515)), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, skolem_Vd4541515), vd449)))
% 59.46/8.96
% 59.46/8.96 [8] CLOSURE : =
% 59.46/8.96
% 59.46/8.96 [10] BETA_IMPLY : (=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vplus(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, skolem_Vd4541515)), vmul(vd448, vd449))))
% 59.46/8.96 -> [18] ~=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515)))
% 59.46/8.96 -> [19] =(vplus(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, skolem_Vd4541515)), vmul(vd448, vd449)))
% 59.46/8.96
% 59.46/8.96 [19] GAMMA_FORALL : ! [Vd45119_19] : ((=(vmul(vmul(vd448, vd449), Vd45119_19), vmul(vd448, vmul(vd449, Vd45119_19))) => =(vmul(vmul(vd448, vd449), vsucc(Vd45119_19)), vplus(vmul(vmul(vd448, vd449), Vd45119_19), vmul(vd448, vd449)))))
% 59.46/8.96 -> [20] (=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vmul(vmul(vd448, vd449), vsucc(skolem_Vd4541515)), vplus(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vd449))))
% 59.46/8.96
% 59.46/8.96 [20] BETA_IMPLY : (=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515))) => =(vmul(vmul(vd448, vd449), vsucc(skolem_Vd4541515)), vplus(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vd449))))
% 59.46/8.96 -> [21] ~=(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vmul(vd449, skolem_Vd4541515)))
% 59.46/8.96 -> [22] =(vmul(vmul(vd448, vd449), vsucc(skolem_Vd4541515)), vplus(vmul(vmul(vd448, vd449), skolem_Vd4541515), vmul(vd448, vd449)))
% 59.46/8.96
% 59.46/8.96 [21] CLOSURE : =
% 59.46/8.96
% 59.46/8.96 [22] CLOSURE : =
% 59.46/8.96
% 59.46/8.96 [18] CLOSURE : =
% 59.46/8.96
% 59.46/8.96 % SZS output end Proof for theBenchmark.p
% 59.46/8.96 [8.620314s][1][Res] 104993 goroutines created
% 59.46/8.96 ==== Result ====
% 59.46/8.96 [8.620362s][1][Res] VALID
% 59.46/8.96 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------