TSTP Solution File: NUM846+2 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM846+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n022.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 10:20:54 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM846+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n022.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 15:23:55 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 : 14
% 0.19/0.35 Launch Gotab with destructive = true
% 0.19/0.39 % SZS output start Proof for theBenchmark.p
% 0.19/0.39 [0] ALPHA_AND : (=(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)) & =(vmul(vd436, vplus(vd437, v1)), vmul(vd436, vsucc(vd437))) & ! [Vd41824_24, Vd41925_25] : (=(vmul(Vd41824_24, Vd41925_25), vmul(Vd41925_25, Vd41824_24))) & ! [Vd40026_26] : (=(vmul(v1, Vd40026_26), Vd40026_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))) & ! [Vd38629_29, Vd38730_30] : ((less(Vd38629_29, vplus(Vd38730_30, v1)) => leq(Vd38629_29, Vd38730_30))) & ! [Vd37531_31, Vd37632_32] : ((greater(Vd37531_31, Vd37632_32) => geq(Vd37531_31, vplus(Vd37632_32, v1)))) & ! [Vd36933_33] : (geq(Vd36933_33, v1)) & ! [Vd7834_34, Vd7935_35] : (=(vplus(Vd7935_35, Vd7834_34), vplus(Vd7834_34, Vd7935_35))) & ! [Vd6836_36, Vd6937_37] : (=(vplus(vsucc(Vd6836_36), Vd6937_37), vsucc(vplus(Vd6836_36, Vd6937_37)))) & ! [Vd5938_38] : (=(vplus(v1, Vd5938_38), vsucc(Vd5938_38))) & ! [Vd4639_39, Vd4740_40, Vd4841_41] : (=(vplus(vplus(Vd4639_39, Vd4740_40), Vd4841_41), vplus(Vd4639_39, vplus(Vd4740_40, Vd4841_41)))) & ! [Vd4242_42, Vd4343_43] : ((=(vplus(Vd4242_42, vsucc(Vd4343_43)), vsucc(vplus(Vd4242_42, Vd4343_43))) & =(vplus(Vd4242_42, v1), vsucc(Vd4242_42)))) & ! [Vd2444_44] : ((~=(Vd2444_44, v1) => =(Vd2444_44, vsucc(vskolem2(Vd2444_44))))) & ! [Vd1645_45] : (~=(vsucc(Vd1645_45), Vd1645_45)) & ! [Vd746_46, Vd847_47] : ((~=(Vd746_46, Vd847_47) => ~=(vsucc(Vd746_46), vsucc(Vd847_47)))) & ~=(vplus(vmul(vd436, vplus(vd437, vd439)), vd436), vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)))
% 0.19/0.39 -> [1] =(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)), =(vmul(vd436, vplus(vd437, v1)), vmul(vd436, vsucc(vd437))), ! [Vd41824_24, Vd41925_25] : (=(vmul(Vd41824_24, Vd41925_25), vmul(Vd41925_25, Vd41824_24))), ! [Vd40026_26] : (=(vmul(v1, Vd40026_26), Vd40026_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))), ! [Vd38629_29, Vd38730_30] : ((less(Vd38629_29, vplus(Vd38730_30, v1)) => leq(Vd38629_29, Vd38730_30))), ! [Vd37531_31, Vd37632_32] : ((greater(Vd37531_31, Vd37632_32) => geq(Vd37531_31, vplus(Vd37632_32, v1)))), ! [Vd36933_33] : (geq(Vd36933_33, v1)), ! [Vd7834_34, Vd7935_35] : (=(vplus(Vd7935_35, Vd7834_34), vplus(Vd7834_34, Vd7935_35))), ! [Vd6836_36, Vd6937_37] : (=(vplus(vsucc(Vd6836_36), Vd6937_37), vsucc(vplus(Vd6836_36, Vd6937_37)))), ! [Vd5938_38] : (=(vplus(v1, Vd5938_38), vsucc(Vd5938_38))), ! [Vd4639_39, Vd4740_40, Vd4841_41] : (=(vplus(vplus(Vd4639_39, Vd4740_40), Vd4841_41), vplus(Vd4639_39, vplus(Vd4740_40, Vd4841_41)))), ! [Vd4242_42, Vd4343_43] : ((=(vplus(Vd4242_42, vsucc(Vd4343_43)), vsucc(vplus(Vd4242_42, Vd4343_43))) & =(vplus(Vd4242_42, v1), vsucc(Vd4242_42)))), ! [Vd2444_44] : ((~=(Vd2444_44, v1) => =(Vd2444_44, vsucc(vskolem2(Vd2444_44))))), ! [Vd1645_45] : (~=(vsucc(Vd1645_45), Vd1645_45)), ! [Vd746_46, Vd847_47] : ((~=(Vd746_46, Vd847_47) => ~=(vsucc(Vd746_46), vsucc(Vd847_47)))), ~=(vplus(vmul(vd436, vplus(vd437, vd439)), vd436), vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))
% 0.19/0.39
% 0.19/0.39 [1] CLOSURE : =
% 0.19/0.39
% 0.19/0.39 % SZS output end Proof for theBenchmark.p
% 0.19/0.39 [0.042676s][1][Res] 61 goroutines created
% 0.19/0.39 ==== Result ====
% 0.19/0.39 [0.042712s][1][Res] VALID
% 0.19/0.39 % SZS status Theorem for theBenchmark.p
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