TSTP Solution File: KRS179+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n014.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 17:33:26 EDT 2022
% Result : Theorem 0.60s 0.56s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n014.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 09:43:02 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 [0.000048s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Conjecture not found
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 30
% 0.12/0.35 Launch Gotab with destructive = true
% 0.19/0.56 % SZS output start Proof for theBenchmark.p
% 0.60/0.56 [0] ALPHA_AND : ((! [I31_31, F32_32] : (((model(I31_31, F32_32) & ~model(I31_31, not(F32_32))) | (~model(I31_31, F32_32) & model(I31_31, not(F32_32))))) & ! [I33_33, F34_34] : ((model(I33_33, F34_34) <=> ~model(I33_33, not(F34_34)))) & ? [F35_35] : (! [I36_36] : (model(I36_36, F35_35))) & ? [F37_37] : ((? [I138_38] : (model(I138_38, F37_37)) & ? [I239_39] : (~model(I239_39, F37_37)))) & ? [F40_40] : (! [I41_41] : (~model(I41_41, F40_40))) & ? [Ax42_42, C43_43] : ((? [I144_44] : ((model(I144_44, Ax42_42) & model(I144_44, C43_43))) & ? [I245_45] : ((~model(I245_45, Ax42_42) | ~model(I245_45, C43_43))))) & ? [Ax46_46, C47_47] : ((((? [I148_48] : (model(I148_48, Ax46_46)) & ! [I249_49] : ((model(I249_49, Ax46_46) => model(I249_49, C47_47)))) & ? [I350_50] : ((~model(I350_50, Ax46_46) & model(I350_50, C47_47)))) & ? [I451_51] : (~model(I451_51, C47_47)))) & ? [I152_52, Ax53_53, C54_54] : (((model(I152_52, Ax53_53) & ~model(I152_52, C54_54)) & ? [I255_55] : (model(I255_55, C54_54))))) & ~! [S156_56, S257_57, S358_58] : (((isa(S156_56, S257_57) & isa(S257_57, S358_58)) => isa(S156_56, S358_58))))
% 0.60/0.56 -> [1] (! [I31_31, F32_32] : (((model(I31_31, F32_32) & ~model(I31_31, not(F32_32))) | (~model(I31_31, F32_32) & model(I31_31, not(F32_32))))) & ! [I33_33, F34_34] : ((model(I33_33, F34_34) <=> ~model(I33_33, not(F34_34)))) & ? [F35_35] : (! [I36_36] : (model(I36_36, F35_35))) & ? [F37_37] : ((? [I138_38] : (model(I138_38, F37_37)) & ? [I239_39] : (~model(I239_39, F37_37)))) & ? [F40_40] : (! [I41_41] : (~model(I41_41, F40_40))) & ? [Ax42_42, C43_43] : ((? [I144_44] : ((model(I144_44, Ax42_42) & model(I144_44, C43_43))) & ? [I245_45] : ((~model(I245_45, Ax42_42) | ~model(I245_45, C43_43))))) & ? [Ax46_46, C47_47] : ((((? [I148_48] : (model(I148_48, Ax46_46)) & ! [I249_49] : ((model(I249_49, Ax46_46) => model(I249_49, C47_47)))) & ? [I350_50] : ((~model(I350_50, Ax46_46) & model(I350_50, C47_47)))) & ? [I451_51] : (~model(I451_51, C47_47)))) & ? [I152_52, Ax53_53, C54_54] : (((model(I152_52, Ax53_53) & ~model(I152_52, C54_54)) & ? [I255_55] : (model(I255_55, C54_54))))), ~! [S156_56, S257_57, S358_58] : (((isa(S156_56, S257_57) & isa(S257_57, S358_58)) => isa(S156_56, S358_58)))
% 0.60/0.56
% 0.60/0.56 [1] ALPHA_AND : (! [I31_31, F32_32] : (((model(I31_31, F32_32) & ~model(I31_31, not(F32_32))) | (~model(I31_31, F32_32) & model(I31_31, not(F32_32))))) & ! [I33_33, F34_34] : ((model(I33_33, F34_34) <=> ~model(I33_33, not(F34_34)))) & ? [F35_35] : (! [I36_36] : (model(I36_36, F35_35))) & ? [F37_37] : ((? [I138_38] : (model(I138_38, F37_37)) & ? [I239_39] : (~model(I239_39, F37_37)))) & ? [F40_40] : (! [I41_41] : (~model(I41_41, F40_40))) & ? [Ax42_42, C43_43] : ((? [I144_44] : ((model(I144_44, Ax42_42) & model(I144_44, C43_43))) & ? [I245_45] : ((~model(I245_45, Ax42_42) | ~model(I245_45, C43_43))))) & ? [Ax46_46, C47_47] : ((((? [I148_48] : (model(I148_48, Ax46_46)) & ! [I249_49] : ((model(I249_49, Ax46_46) => model(I249_49, C47_47)))) & ? [I350_50] : ((~model(I350_50, Ax46_46) & model(I350_50, C47_47)))) & ? [I451_51] : (~model(I451_51, C47_47)))) & ? [I152_52, Ax53_53, C54_54] : (((model(I152_52, Ax53_53) & ~model(I152_52, C54_54)) & ? [I255_55] : (model(I255_55, C54_54)))))
% 0.60/0.56 -> [2] ! [I31_31, F32_32] : (((model(I31_31, F32_32) & ~model(I31_31, not(F32_32))) | (~model(I31_31, F32_32) & model(I31_31, not(F32_32))))), ! [I33_33, F34_34] : ((model(I33_33, F34_34) <=> ~model(I33_33, not(F34_34)))), ? [F35_35] : (! [I36_36] : (model(I36_36, F35_35))), ? [F37_37] : ((? [I138_38] : (model(I138_38, F37_37)) & ? [I239_39] : (~model(I239_39, F37_37)))), ? [F40_40] : (! [I41_41] : (~model(I41_41, F40_40))), ? [Ax42_42, C43_43] : ((? [I144_44] : ((model(I144_44, Ax42_42) & model(I144_44, C43_43))) & ? [I245_45] : ((~model(I245_45, Ax42_42) | ~model(I245_45, C43_43))))), ? [Ax46_46, C47_47] : ((((? [I148_48] : (model(I148_48, Ax46_46)) & ! [I249_49] : ((model(I249_49, Ax46_46) => model(I249_49, C47_47)))) & ? [I350_50] : ((~model(I350_50, Ax46_46) & model(I350_50, C47_47)))) & ? [I451_51] : (~model(I451_51, C47_47)))), ? [I152_52, Ax53_53, C54_54] : (((model(I152_52, Ax53_53) & ~model(I152_52, C54_54)) & ? [I255_55] : (model(I255_55, C54_54))))
% 0.60/0.56
% 0.60/0.56 [2] DELTA_NOT_FORALL : ~! [S156_56, S257_57, S358_58] : (((isa(S156_56, S257_57) & isa(S257_57, S358_58)) => isa(S156_56, S358_58)))
% 0.60/0.56 -> [3] ~((isa(skolem_S15656, skolem_S25757) & isa(skolem_S25757, skolem_S35858)) => isa(skolem_S15656, skolem_S35858))
% 0.60/0.56
% 0.60/0.56 [3] ALPHA_NOT_IMPLY : ~((isa(skolem_S15656, skolem_S25757) & isa(skolem_S25757, skolem_S35858)) => isa(skolem_S15656, skolem_S35858))
% 0.60/0.56 -> [4] (isa(skolem_S15656, skolem_S25757) & isa(skolem_S25757, skolem_S35858)), ~isa(skolem_S15656, skolem_S35858)
% 0.60/0.56
% 0.60/0.56 [4] Rewrite : ~isa(skolem_S15656, skolem_S35858)
% 0.60/0.56 -> [5] ~(status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858))
% 0.60/0.56
% 0.60/0.56 [5] ALPHA_AND : (isa(skolem_S15656, skolem_S25757) & isa(skolem_S25757, skolem_S35858))
% 0.60/0.56 -> [6] isa(skolem_S15656, skolem_S25757), isa(skolem_S25757, skolem_S35858)
% 0.60/0.56
% 0.60/0.56 [6] Rewrite : isa(skolem_S15656, skolem_S25757)
% 0.60/0.56 -> [7] ! [Ax17_17, C18_18] : ((status(Ax17_17, C18_18, skolem_S15656) => status(Ax17_17, C18_18, skolem_S25757)))
% 0.60/0.56
% 0.60/0.56 [7] Rewrite : isa(skolem_S25757, skolem_S35858)
% 0.60/0.56 -> [8] ! [Ax17_17, C18_18] : ((status(Ax17_17, C18_18, skolem_S25757) => status(Ax17_17, C18_18, skolem_S35858)))
% 0.60/0.56
% 0.60/0.56 [8] ALPHA_NOT_IMPLY : ~(status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858))
% 0.60/0.56 -> [9] status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656), ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858)
% 0.60/0.56
% 0.60/0.56 [9] DELTA_EXISTS : ? [F35_35] : (! [I36_36] : (model(I36_36, F35_35)))
% 0.60/0.56 -> [10] ! [I36_36] : (model(I36_36, skolem_F3535))
% 0.60/0.56
% 0.60/0.56 [10] DELTA_EXISTS : ? [F37_37] : ((? [I138_38] : (model(I138_38, F37_37)) & ? [I239_39] : (~model(I239_39, F37_37))))
% 0.60/0.56 -> [11] (? [I138_38] : (model(I138_38, skolem_F3737)) & ? [I239_39] : (~model(I239_39, skolem_F3737)))
% 0.60/0.56
% 0.60/0.56 [11] ALPHA_AND : (? [I138_38] : (model(I138_38, skolem_F3737)) & ? [I239_39] : (~model(I239_39, skolem_F3737)))
% 0.60/0.56 -> [12] ? [I138_38] : (model(I138_38, skolem_F3737)), ? [I239_39] : (~model(I239_39, skolem_F3737))
% 0.60/0.56
% 0.60/0.56 [12] DELTA_EXISTS : ? [F40_40] : (! [I41_41] : (~model(I41_41, F40_40)))
% 0.60/0.56 -> [13] ! [I41_41] : (~model(I41_41, skolem_F4040))
% 0.60/0.56
% 0.60/0.56 [13] DELTA_EXISTS : ? [Ax42_42, C43_43] : ((? [I144_44] : ((model(I144_44, Ax42_42) & model(I144_44, C43_43))) & ? [I245_45] : ((~model(I245_45, Ax42_42) | ~model(I245_45, C43_43)))))
% 0.60/0.56 -> [14] (? [I144_44] : ((model(I144_44, skolem_Ax4242) & model(I144_44, skolem_C4343))) & ? [I245_45] : ((~model(I245_45, skolem_Ax4242) | ~model(I245_45, skolem_C4343))))
% 0.60/0.56
% 0.60/0.56 [14] ALPHA_AND : (? [I144_44] : ((model(I144_44, skolem_Ax4242) & model(I144_44, skolem_C4343))) & ? [I245_45] : ((~model(I245_45, skolem_Ax4242) | ~model(I245_45, skolem_C4343))))
% 0.60/0.56 -> [15] ? [I144_44] : ((model(I144_44, skolem_Ax4242) & model(I144_44, skolem_C4343))), ? [I245_45] : ((~model(I245_45, skolem_Ax4242) | ~model(I245_45, skolem_C4343)))
% 0.60/0.56
% 0.60/0.56 [15] DELTA_EXISTS : ? [Ax46_46, C47_47] : ((((? [I148_48] : (model(I148_48, Ax46_46)) & ! [I249_49] : ((model(I249_49, Ax46_46) => model(I249_49, C47_47)))) & ? [I350_50] : ((~model(I350_50, Ax46_46) & model(I350_50, C47_47)))) & ? [I451_51] : (~model(I451_51, C47_47))))
% 0.60/0.56 -> [16] (((? [I148_48] : (model(I148_48, skolem_Ax4646)) & ! [I249_49] : ((model(I249_49, skolem_Ax4646) => model(I249_49, skolem_C4747)))) & ? [I350_50] : ((~model(I350_50, skolem_Ax4646) & model(I350_50, skolem_C4747)))) & ? [I451_51] : (~model(I451_51, skolem_C4747)))
% 0.60/0.56
% 0.60/0.56 [16] ALPHA_AND : (((? [I148_48] : (model(I148_48, skolem_Ax4646)) & ! [I249_49] : ((model(I249_49, skolem_Ax4646) => model(I249_49, skolem_C4747)))) & ? [I350_50] : ((~model(I350_50, skolem_Ax4646) & model(I350_50, skolem_C4747)))) & ? [I451_51] : (~model(I451_51, skolem_C4747)))
% 0.60/0.56 -> [17] ((? [I148_48] : (model(I148_48, skolem_Ax4646)) & ! [I249_49] : ((model(I249_49, skolem_Ax4646) => model(I249_49, skolem_C4747)))) & ? [I350_50] : ((~model(I350_50, skolem_Ax4646) & model(I350_50, skolem_C4747)))), ? [I451_51] : (~model(I451_51, skolem_C4747))
% 0.60/0.56
% 0.60/0.56 [17] ALPHA_AND : ((? [I148_48] : (model(I148_48, skolem_Ax4646)) & ! [I249_49] : ((model(I249_49, skolem_Ax4646) => model(I249_49, skolem_C4747)))) & ? [I350_50] : ((~model(I350_50, skolem_Ax4646) & model(I350_50, skolem_C4747))))
% 0.60/0.56 -> [18] (? [I148_48] : (model(I148_48, skolem_Ax4646)) & ! [I249_49] : ((model(I249_49, skolem_Ax4646) => model(I249_49, skolem_C4747)))), ? [I350_50] : ((~model(I350_50, skolem_Ax4646) & model(I350_50, skolem_C4747)))
% 0.60/0.56
% 0.60/0.56 [18] ALPHA_AND : (? [I148_48] : (model(I148_48, skolem_Ax4646)) & ! [I249_49] : ((model(I249_49, skolem_Ax4646) => model(I249_49, skolem_C4747))))
% 0.60/0.56 -> [19] ? [I148_48] : (model(I148_48, skolem_Ax4646)), ! [I249_49] : ((model(I249_49, skolem_Ax4646) => model(I249_49, skolem_C4747)))
% 0.60/0.56
% 0.60/0.56 [19] DELTA_EXISTS : ? [I152_52, Ax53_53, C54_54] : (((model(I152_52, Ax53_53) & ~model(I152_52, C54_54)) & ? [I255_55] : (model(I255_55, C54_54))))
% 0.60/0.56 -> [20] ((model(skolem_I15252, skolem_Ax5353) & ~model(skolem_I15252, skolem_C5454)) & ? [I255_55] : (model(I255_55, skolem_C5454)))
% 0.60/0.56
% 0.60/0.56 [20] ALPHA_AND : ((model(skolem_I15252, skolem_Ax5353) & ~model(skolem_I15252, skolem_C5454)) & ? [I255_55] : (model(I255_55, skolem_C5454)))
% 0.60/0.56 -> [21] (model(skolem_I15252, skolem_Ax5353) & ~model(skolem_I15252, skolem_C5454)), ? [I255_55] : (model(I255_55, skolem_C5454))
% 0.60/0.56
% 0.60/0.56 [21] ALPHA_AND : (model(skolem_I15252, skolem_Ax5353) & ~model(skolem_I15252, skolem_C5454))
% 0.60/0.56 -> [22] model(skolem_I15252, skolem_Ax5353), ~model(skolem_I15252, skolem_C5454)
% 0.60/0.56
% 0.60/0.56 [22] DELTA_EXISTS : ? [I138_38] : (model(I138_38, skolem_F3737))
% 0.60/0.56 -> [23] model(skolem_I13838, skolem_F3737)
% 0.60/0.56
% 0.60/0.56 [23] DELTA_EXISTS : ? [I239_39] : (~model(I239_39, skolem_F3737))
% 0.60/0.56 -> [24] ~model(skolem_I23939, skolem_F3737)
% 0.60/0.56
% 0.60/0.56 [24] DELTA_EXISTS : ? [I144_44] : ((model(I144_44, skolem_Ax4242) & model(I144_44, skolem_C4343)))
% 0.60/0.56 -> [25] (model(skolem_I14444, skolem_Ax4242) & model(skolem_I14444, skolem_C4343))
% 0.60/0.56
% 0.60/0.56 [25] ALPHA_AND : (model(skolem_I14444, skolem_Ax4242) & model(skolem_I14444, skolem_C4343))
% 0.60/0.56 -> [26] model(skolem_I14444, skolem_Ax4242), model(skolem_I14444, skolem_C4343)
% 0.60/0.56
% 0.60/0.56 [26] DELTA_EXISTS : ? [I245_45] : ((~model(I245_45, skolem_Ax4242) | ~model(I245_45, skolem_C4343)))
% 0.60/0.56 -> [27] (~model(skolem_I24545, skolem_Ax4242) | ~model(skolem_I24545, skolem_C4343))
% 0.60/0.56
% 0.60/0.56 [27] DELTA_EXISTS : ? [I451_51] : (~model(I451_51, skolem_C4747))
% 0.60/0.56 -> [28] ~model(skolem_I45151, skolem_C4747)
% 0.60/0.56
% 0.60/0.56 [28] DELTA_EXISTS : ? [I350_50] : ((~model(I350_50, skolem_Ax4646) & model(I350_50, skolem_C4747)))
% 0.60/0.56 -> [29] (~model(skolem_I35050, skolem_Ax4646) & model(skolem_I35050, skolem_C4747))
% 0.60/0.56
% 0.60/0.56 [29] ALPHA_AND : (~model(skolem_I35050, skolem_Ax4646) & model(skolem_I35050, skolem_C4747))
% 0.60/0.56 -> [30] ~model(skolem_I35050, skolem_Ax4646), model(skolem_I35050, skolem_C4747)
% 0.60/0.56
% 0.60/0.56 [30] DELTA_EXISTS : ? [I148_48] : (model(I148_48, skolem_Ax4646))
% 0.60/0.56 -> [31] model(skolem_I14848, skolem_Ax4646)
% 0.60/0.56
% 0.60/0.56 [31] DELTA_EXISTS : ? [I255_55] : (model(I255_55, skolem_C5454))
% 0.60/0.56 -> [32] model(skolem_I25555, skolem_C5454)
% 0.60/0.56
% 0.60/0.56 [32] BETA_OR : (~model(skolem_I24545, skolem_Ax4242) | ~model(skolem_I24545, skolem_C4343))
% 0.60/0.56 -> [33] ~model(skolem_I24545, skolem_Ax4242)
% 0.60/0.56 -> [34] ~model(skolem_I24545, skolem_C4343)
% 0.60/0.56
% 0.60/0.56 [34] GAMMA_FORALL : ! [I31_31, F32_32] : (((model(I31_31, F32_32) & ~model(I31_31, not(F32_32))) | (~model(I31_31, F32_32) & model(I31_31, not(F32_32)))))
% 0.60/0.56 -> [38] ((model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454))) | (~model(skolem_I15252, skolem_C5454) & model(skolem_I15252, not(skolem_C5454))))
% 0.60/0.56
% 0.60/0.56 [38] BETA_OR : ((model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454))) | (~model(skolem_I15252, skolem_C5454) & model(skolem_I15252, not(skolem_C5454))))
% 0.60/0.56 -> [39] (model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56 -> [40] (~model(skolem_I15252, skolem_C5454) & model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56
% 0.60/0.56 [39] ALPHA_AND : (model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56 -> [43] model(skolem_I15252, skolem_C5454), ~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56
% 0.60/0.56 [43] CLOSURE : model(skolem_I15252, skolem_C5454)
% 0.60/0.56
% 0.60/0.56 [44] GAMMA_FORALL : ! [I33_33, F34_34] : ((model(I33_33, F34_34) <=> ~model(I33_33, not(F34_34))))
% 0.60/0.56 -> [48] (model(skolem_I15252, skolem_C5454) <=> ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56
% 0.60/0.56 [48] BETA_EQUIV : (model(skolem_I15252, skolem_C5454) <=> ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56 -> [49] ~model(skolem_I15252, skolem_C5454), ~~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56 -> [50] model(skolem_I15252, skolem_C5454), ~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56
% 0.60/0.56 [50] CLOSURE : ~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56
% 0.60/0.56 [52] GAMMA_FORALL : ! [Ax17_17, C18_18] : ((status(Ax17_17, C18_18, skolem_S15656) => status(Ax17_17, C18_18, skolem_S25757)))
% 0.60/0.56 -> [56] (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757))
% 0.60/0.56
% 0.60/0.56 [56] BETA_IMPLY : (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757))
% 0.60/0.56 -> [57] ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656)
% 0.60/0.56 -> [58] status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757)
% 0.60/0.56
% 0.60/0.56 [57] CLOSURE : ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656)
% 0.60/0.56
% 0.60/0.56 [58] GAMMA_FORALL : ! [Ax17_17, C18_18] : ((status(Ax17_17, C18_18, skolem_S25757) => status(Ax17_17, C18_18, skolem_S35858)))
% 0.60/0.56 -> [62] (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858))
% 0.60/0.56
% 0.60/0.56 [62] BETA_IMPLY : (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858))
% 0.60/0.56 -> [63] ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757)
% 0.60/0.56 -> [64] status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858)
% 0.60/0.56
% 0.60/0.56 [64] CLOSURE : status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858)
% 0.60/0.56
% 0.60/0.56 [63] CLOSURE : ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757)
% 0.60/0.56
% 0.60/0.56 [33] GAMMA_FORALL : ! [I31_31, F32_32] : (((model(I31_31, F32_32) & ~model(I31_31, not(F32_32))) | (~model(I31_31, F32_32) & model(I31_31, not(F32_32)))))
% 0.60/0.56 -> [35] ((model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454))) | (~model(skolem_I15252, skolem_C5454) & model(skolem_I15252, not(skolem_C5454))))
% 0.60/0.56
% 0.60/0.56 [35] BETA_OR : ((model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454))) | (~model(skolem_I15252, skolem_C5454) & model(skolem_I15252, not(skolem_C5454))))
% 0.60/0.56 -> [36] (model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56 -> [37] (~model(skolem_I15252, skolem_C5454) & model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56
% 0.60/0.56 [36] ALPHA_AND : (model(skolem_I15252, skolem_C5454) & ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56 -> [41] model(skolem_I15252, skolem_C5454), ~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56
% 0.60/0.56 [41] CLOSURE : model(skolem_I15252, skolem_C5454)
% 0.60/0.56
% 0.60/0.56 [42] GAMMA_FORALL : ! [I33_33, F34_34] : ((model(I33_33, F34_34) <=> ~model(I33_33, not(F34_34))))
% 0.60/0.56 -> [45] (model(skolem_I15252, skolem_C5454) <=> ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56
% 0.60/0.56 [45] BETA_EQUIV : (model(skolem_I15252, skolem_C5454) <=> ~model(skolem_I15252, not(skolem_C5454)))
% 0.60/0.56 -> [46] ~model(skolem_I15252, skolem_C5454), ~~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56 -> [47] model(skolem_I15252, skolem_C5454), ~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56
% 0.60/0.56 [47] CLOSURE : ~model(skolem_I15252, not(skolem_C5454))
% 0.60/0.56
% 0.60/0.56 [51] GAMMA_FORALL : ! [Ax17_17, C18_18] : ((status(Ax17_17, C18_18, skolem_S15656) => status(Ax17_17, C18_18, skolem_S25757)))
% 0.60/0.56 -> [53] (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757))
% 0.60/0.56
% 0.60/0.56 [53] BETA_IMPLY : (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757))
% 0.60/0.56 -> [54] ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656)
% 0.60/0.56 -> [55] status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757)
% 0.60/0.56
% 0.60/0.56 [54] CLOSURE : ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S15656)
% 0.60/0.56
% 0.60/0.56 [55] GAMMA_FORALL : ! [Ax17_17, C18_18] : ((status(Ax17_17, C18_18, skolem_S25757) => status(Ax17_17, C18_18, skolem_S35858)))
% 0.60/0.56 -> [59] (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858))
% 0.60/0.56
% 0.60/0.56 [59] BETA_IMPLY : (status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757) => status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858))
% 0.60/0.56 -> [60] ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757)
% 0.60/0.56 -> [61] status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858)
% 0.60/0.56
% 0.60/0.56 [61] CLOSURE : status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S35858)
% 0.60/0.56
% 0.60/0.56 [60] CLOSURE : ~status(skolem_Ax1717(skolem_S15656, skolem_S35858), skolem_C1818(skolem_S15656, skolem_S35858), skolem_S25757)
% 0.60/0.56
% 0.60/0.56 % SZS output end Proof for theBenchmark.p
% 0.60/0.56 [0.220911s][1][Res] 1151 goroutines created
% 0.60/0.56 ==== Result ====
% 0.60/0.56 [0.221009s][1][Res] VALID
% 0.60/0.56 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------