TSTP Solution File: NUM848+2 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% 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 : 300s
% DateTime : Sun Sep 18 10:20:55 EDT 2022
% Result : Theorem 3.91s 1.58s
% Output : Proof 3.91s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 15:21:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.35 [DMT] DMT loaded with preskolemization
% 0.19/0.35 [EQ] equality loaded.
% 0.19/0.35 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.19/0.35 Start search
% 0.19/0.35 nb_step : 1 - limit : 8
% 0.19/0.35 Launch Gotab with destructive = true
% 3.91/1.58 % SZS output start Proof for theBenchmark.p
% 3.91/1.58 [0] ALPHA_AND : (=(vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436), vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))) & =(vplus(vmul(vd436, vplus(vd437, vd439)), vd436), vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) & =(vmul(vd436, vsucc(vplus(vd437, vd439))), vplus(vmul(vd436, vplus(vd437, vd439)), vd436)) & =(vmul(vd436, vplus(vd437, vsucc(vd439))), vmul(vd436, vsucc(vplus(vd437, vd439)))) & =(vmul(vd436, vplus(vd437, vd439)), vplus(vmul(vd436, vd437), vmul(vd436, vd439))) & =(vplus(vmul(vd436, vd437), vd436), vplus(vmul(vd436, vd437), vmul(vd436, v1))) & =(vmul(vd436, vsucc(vd437)), vplus(vmul(vd436, vd437), vd436)) & ! [Vd39615_15, Vd39716_16] : ((=(vmul(Vd39615_15, vsucc(Vd39716_16)), vplus(vmul(Vd39615_15, Vd39716_16), Vd39615_15)) & =(vmul(Vd39615_15, v1), Vd39615_15))) & ! [Vd38617_17, Vd38718_18] : ((less(Vd38617_17, vplus(Vd38718_18, v1)) => leq(Vd38617_17, Vd38718_18))) & ! [Vd7819_19, Vd7920_20] : (=(vplus(Vd7920_20, Vd7819_19), vplus(Vd7819_19, Vd7920_20))) & ! [Vd6821_21, Vd6922_22] : (=(vplus(vsucc(Vd6821_21), Vd6922_22), vsucc(vplus(Vd6821_21, Vd6922_22)))) & ! [Vd5923_23] : (=(vplus(v1, Vd5923_23), vsucc(Vd5923_23))) & ! [Vd4624_24, Vd4725_25, Vd4826_26] : (=(vplus(vplus(Vd4624_24, Vd4725_25), Vd4826_26), vplus(Vd4624_24, vplus(Vd4725_25, Vd4826_26)))) & ! [Vd4227_27, Vd4328_28] : ((=(vplus(Vd4227_27, vsucc(Vd4328_28)), vsucc(vplus(Vd4227_27, Vd4328_28))) & =(vplus(Vd4227_27, v1), vsucc(Vd4227_27)))) & ! [Vd2429_29] : ((~=(Vd2429_29, v1) => =(Vd2429_29, vsucc(vskolem2(Vd2429_29))))) & ~=(vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)), vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))))
% 3.91/1.58 -> [1] =(vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436), vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))), =(vplus(vmul(vd436, vplus(vd437, vd439)), vd436), vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)), =(vmul(vd436, vsucc(vplus(vd437, vd439))), vplus(vmul(vd436, vplus(vd437, vd439)), vd436)), =(vmul(vd436, vplus(vd437, vsucc(vd439))), vmul(vd436, vsucc(vplus(vd437, vd439)))), =(vmul(vd436, vplus(vd437, vd439)), vplus(vmul(vd436, vd437), vmul(vd436, vd439))), =(vplus(vmul(vd436, vd437), vd436), vplus(vmul(vd436, vd437), vmul(vd436, v1))), =(vmul(vd436, vsucc(vd437)), vplus(vmul(vd436, vd437), vd436)), ! [Vd39615_15, Vd39716_16] : ((=(vmul(Vd39615_15, vsucc(Vd39716_16)), vplus(vmul(Vd39615_15, Vd39716_16), Vd39615_15)) & =(vmul(Vd39615_15, v1), Vd39615_15))), ! [Vd38617_17, Vd38718_18] : ((less(Vd38617_17, vplus(Vd38718_18, v1)) => leq(Vd38617_17, Vd38718_18))), ! [Vd7819_19, Vd7920_20] : (=(vplus(Vd7920_20, Vd7819_19), vplus(Vd7819_19, Vd7920_20))), ! [Vd6821_21, Vd6922_22] : (=(vplus(vsucc(Vd6821_21), Vd6922_22), vsucc(vplus(Vd6821_21, Vd6922_22)))), ! [Vd5923_23] : (=(vplus(v1, Vd5923_23), vsucc(Vd5923_23))), ! [Vd4624_24, Vd4725_25, Vd4826_26] : (=(vplus(vplus(Vd4624_24, Vd4725_25), Vd4826_26), vplus(Vd4624_24, vplus(Vd4725_25, Vd4826_26)))), ! [Vd4227_27, Vd4328_28] : ((=(vplus(Vd4227_27, vsucc(Vd4328_28)), vsucc(vplus(Vd4227_27, Vd4328_28))) & =(vplus(Vd4227_27, v1), vsucc(Vd4227_27)))), ! [Vd2429_29] : ((~=(Vd2429_29, v1) => =(Vd2429_29, vsucc(vskolem2(Vd2429_29))))), ~=(vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)), vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439))))
% 3.91/1.58
% 3.91/1.58 [1] GAMMA_FORALL : ! [Vd39615_15, Vd39716_16] : ((=(vmul(Vd39615_15, vsucc(Vd39716_16)), vplus(vmul(Vd39615_15, Vd39716_16), Vd39615_15)) & =(vmul(Vd39615_15, v1), Vd39615_15)))
% 3.91/1.58 -> [2] (=(vmul(VD39615_0_0, vsucc(VD39716_0_0)), vplus(vmul(VD39615_0_0, VD39716_0_0), VD39615_0_0)) & =(vmul(VD39615_0_0, v1), VD39615_0_0))
% 3.91/1.58
% 3.91/1.58 [2] ALPHA_AND : (=(vmul(VD39615_0_0, vsucc(VD39716_0_0)), vplus(vmul(VD39615_0_0, VD39716_0_0), VD39615_0_0)) & =(vmul(VD39615_0_0, v1), VD39615_0_0))
% 3.91/1.58 -> [3] =(vmul(VD39615_0_0, vsucc(VD39716_0_0)), vplus(vmul(VD39615_0_0, VD39716_0_0), VD39615_0_0)), =(vmul(VD39615_0_0, v1), VD39615_0_0)
% 3.91/1.58
% 3.91/1.58 [3] CLOSURE : =
% 3.91/1.58
% 3.91/1.58 % SZS output end Proof for theBenchmark.p
% 3.91/1.58 [1.235631s][1][Res] 7662 goroutines created
% 3.91/1.58 ==== Result ====
% 3.91/1.58 [1.235653s][1][Res] VALID
% 3.91/1.58 % SZS status Theorem for theBenchmark.p
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