TSTP Solution File: KRS123+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS123+1 : TPTP v8.1.0. Released v3.1.0.
% 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 17:33:16 EDT 2022
% Result : Unsatisfiable 1.51s 0.55s
% Output : Proof 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS123+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Sep 1 09:38:49 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Conjecture not found
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 16
% 0.12/0.33 Launch Gotab with destructive = true
% 1.51/0.54 % SZS output start Proof for theBenchmark.p
% 1.51/0.55 [0] ALPHA_AND : (! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))) & ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))) & ! [X6_6] : ((cc(X6_6) => cdxcomp(X6_6))) & ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7))) & ! [X8_8] : ((cc1(X8_8) => cd1(X8_8))) & ! [X17_17] : ((ce3(X17_17) => cc(X17_17))) & ! [X18_18] : ((cf(X18_18) => cd(X18_18))) & cUnsatisfiable(i2003_11_14_17_22_02803))
% 1.51/0.55 -> [1] ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))), ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))), ! [X6_6] : ((cc(X6_6) => cdxcomp(X6_6))), ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7))), ! [X8_8] : ((cc1(X8_8) => cd1(X8_8))), ! [X17_17] : ((ce3(X17_17) => cc(X17_17))), ! [X18_18] : ((cf(X18_18) => cd(X18_18))), cUnsatisfiable(i2003_11_14_17_22_02803)
% 1.51/0.55
% 1.51/0.55 [1] Rewrite : cUnsatisfiable(i2003_11_14_17_22_02803)
% 1.51/0.55 -> [2] (cc(i2003_11_14_17_22_02803) & cd(i2003_11_14_17_22_02803))
% 1.51/0.55
% 1.51/0.55 [2] ALPHA_AND : (cc(i2003_11_14_17_22_02803) & cd(i2003_11_14_17_22_02803))
% 1.51/0.55 -> [3] cc(i2003_11_14_17_22_02803), cd(i2003_11_14_17_22_02803)
% 1.51/0.55
% 1.51/0.55 [3] Rewrite : cd(i2003_11_14_17_22_02803)
% 1.51/0.55 -> [4] ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55
% 1.51/0.55 [4] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.51/0.55 -> [5] (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.51/0.55
% 1.51/0.55 [5] ALPHA_AND : (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.51/0.55 -> [6] cowlThing(X3_0_0), ~cowlNothing(X3_0_0)
% 1.51/0.55
% 1.51/0.55 [6] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.51/0.55 -> [7] (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 1.51/0.55
% 1.51/0.55 [7] BETA_EQUIV : (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 1.51/0.55 -> [8] ~xsd_string(X4_0_1), ~~xsd_integer(X4_0_1)
% 1.51/0.55 -> [9] xsd_string(X4_0_1), ~xsd_integer(X4_0_1)
% 1.51/0.55
% 1.51/0.55 [8] ALPHA_NOT_NOT : ~~xsd_integer(X4_0_1)
% 1.51/0.55 -> [10] xsd_integer(X4_0_1)
% 1.51/0.55
% 1.51/0.55 [10] GAMMA_FORALL : ! [X6_6] : ((cc(X6_6) => cdxcomp(X6_6)))
% 1.51/0.55 -> [14] (cc(i2003_11_14_17_22_02803) => cdxcomp(i2003_11_14_17_22_02803))
% 1.51/0.55
% 1.51/0.55 [14] BETA_IMPLY : (cc(i2003_11_14_17_22_02803) => cdxcomp(i2003_11_14_17_22_02803))
% 1.51/0.55 -> [15] ~cc(i2003_11_14_17_22_02803)
% 1.51/0.55 -> [16] cdxcomp(i2003_11_14_17_22_02803)
% 1.51/0.55
% 1.51/0.55 [15] CLOSURE : ~cc(i2003_11_14_17_22_02803)
% 1.51/0.55
% 1.51/0.55 [16] Rewrite : cdxcomp(i2003_11_14_17_22_02803)
% 1.51/0.55 -> [18] ra_Px1(i2003_11_14_17_22_02803, skolem_Y01212(i2003_11_14_17_22_02803))
% 1.51/0.55
% 1.51/0.55 [18] GAMMA_FORALL : ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7)))
% 1.51/0.55 -> [22] (cc1(X7_1_3) => cd1xcomp(X7_1_3))
% 1.51/0.55
% 1.51/0.55 [22] BETA_IMPLY : (cc1(X7_1_3) => cd1xcomp(X7_1_3))
% 1.51/0.55 -> [23] ~cc1(X7_1_3)
% 1.51/0.55 -> [24] cd1xcomp(X7_1_3)
% 1.51/0.55
% 1.51/0.55 [23] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 1.51/0.55 -> [36] (cc1(X8_3_4) => cd1(X8_3_4))
% 1.51/0.55
% 1.51/0.55 [36] BETA_IMPLY : (cc1(X8_3_4) => cd1(X8_3_4))
% 1.51/0.55 -> [38] ~cc1(X8_3_4)
% 1.51/0.55 -> [39] cd1(X8_3_4)
% 1.51/0.55
% 1.51/0.55 [39] Rewrite : cd1(X8_3_4)
% 1.51/0.55 -> [52] ra_Px2(X8_3_4, skolem_Y01414(X8_3_4))
% 1.51/0.55
% 1.51/0.55 [52] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [67] (ce3(X17_6_5) => cc(X17_6_5))
% 1.51/0.55
% 1.51/0.55 [67] BETA_IMPLY : (ce3(X17_6_5) => cc(X17_6_5))
% 1.51/0.55 -> [68] ~ce3(X17_6_5)
% 1.51/0.55 -> [69] cc(X17_6_5)
% 1.51/0.55
% 1.51/0.55 [69] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [87] (cf(X18_7_6) => cd(X18_7_6))
% 1.51/0.55
% 1.51/0.55 [87] BETA_IMPLY : (cf(X18_7_6) => cd(X18_7_6))
% 1.51/0.55 -> [90] ~cf(X18_7_6)
% 1.51/0.55 -> [91] cd(X18_7_6)
% 1.51/0.55
% 1.51/0.55 [91] Rewrite : cd(X18_7_6)
% 1.51/0.55 -> [108] ~? [Y10_10] : (ra_Px1(X18_7_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [108] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [109] ~ra_Px1(i2003_11_14_17_22_02803, Y10_7_7)
% 1.51/0.55
% 1.51/0.55 [109] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_7_7)
% 1.51/0.55
% 1.51/0.55 [90] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [117] ~ra_Px1(i2003_11_14_17_22_02803, Y10_11_7)
% 1.51/0.55
% 1.51/0.55 [117] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_11_7)
% 1.51/0.55
% 1.51/0.55 [68] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [143] (cf(X18_14_6) => cd(X18_14_6))
% 1.51/0.55
% 1.51/0.55 [143] BETA_IMPLY : (cf(X18_14_6) => cd(X18_14_6))
% 1.51/0.55 -> [144] ~cf(X18_14_6)
% 1.51/0.55 -> [145] cd(X18_14_6)
% 1.51/0.55
% 1.51/0.55 [145] Rewrite : cd(X18_14_6)
% 1.51/0.55 -> [156] ~? [Y10_10] : (ra_Px1(X18_14_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [156] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [159] ~ra_Px1(i2003_11_14_17_22_02803, Y10_28_7)
% 1.51/0.55
% 1.51/0.55 [159] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_28_7)
% 1.51/0.55
% 1.51/0.55 [144] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [160] ~ra_Px1(i2003_11_14_17_22_02803, Y10_29_7)
% 1.51/0.55
% 1.51/0.55 [160] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_29_7)
% 1.51/0.55
% 1.51/0.55 [38] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [43] (ce3(X17_1_5) => cc(X17_1_5))
% 1.51/0.55
% 1.51/0.55 [43] BETA_IMPLY : (ce3(X17_1_5) => cc(X17_1_5))
% 1.51/0.55 -> [44] ~ce3(X17_1_5)
% 1.51/0.55 -> [45] cc(X17_1_5)
% 1.51/0.55
% 1.51/0.55 [45] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [61] (cf(X18_0_6) => cd(X18_0_6))
% 1.51/0.55
% 1.51/0.55 [61] BETA_IMPLY : (cf(X18_0_6) => cd(X18_0_6))
% 1.51/0.55 -> [62] ~cf(X18_0_6)
% 1.51/0.55 -> [63] cd(X18_0_6)
% 1.51/0.55
% 1.51/0.55 [62] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [122] ~ra_Px1(i2003_11_14_17_22_02803, Y10_15_7)
% 1.51/0.55
% 1.51/0.55 [122] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_15_7)
% 1.51/0.55
% 1.51/0.55 [63] Rewrite : cd(X18_0_6)
% 1.51/0.55 -> [135] ~? [Y10_10] : (ra_Px1(X18_0_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [135] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [136] ~ra_Px1(i2003_11_14_17_22_02803, Y10_18_7)
% 1.51/0.55
% 1.51/0.55 [136] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_18_7)
% 1.51/0.55
% 1.51/0.55 [44] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [132] (cf(X18_13_6) => cd(X18_13_6))
% 1.51/0.55
% 1.51/0.55 [132] BETA_IMPLY : (cf(X18_13_6) => cd(X18_13_6))
% 1.51/0.55 -> [133] ~cf(X18_13_6)
% 1.51/0.55 -> [134] cd(X18_13_6)
% 1.51/0.55
% 1.51/0.55 [134] Rewrite : cd(X18_13_6)
% 1.51/0.55 -> [154] ~? [Y10_10] : (ra_Px1(X18_13_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [154] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [157] ~ra_Px1(i2003_11_14_17_22_02803, Y10_26_7)
% 1.51/0.55
% 1.51/0.55 [157] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_26_7)
% 1.51/0.55
% 1.51/0.55 [133] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [161] ~ra_Px1(i2003_11_14_17_22_02803, Y10_30_7)
% 1.51/0.55
% 1.51/0.55 [161] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_30_7)
% 1.51/0.55
% 1.51/0.55 [24] Rewrite : cd1xcomp(X7_1_3)
% 1.51/0.55 -> [32] ~? [Y16_16] : (ra_Px2(X7_1_3, Y16_16))
% 1.51/0.55
% 1.51/0.55 [32] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 1.51/0.55 -> [33] (cc1(X8_2_4) => cd1(X8_2_4))
% 1.51/0.55
% 1.51/0.55 [33] BETA_IMPLY : (cc1(X8_2_4) => cd1(X8_2_4))
% 1.51/0.55 -> [34] ~cc1(X8_2_4)
% 1.51/0.55 -> [35] cd1(X8_2_4)
% 1.51/0.55
% 1.51/0.55 [34] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [51] (ce3(X17_3_5) => cc(X17_3_5))
% 1.51/0.55
% 1.51/0.55 [51] BETA_IMPLY : (ce3(X17_3_5) => cc(X17_3_5))
% 1.51/0.55 -> [53] ~ce3(X17_3_5)
% 1.51/0.55 -> [54] cc(X17_3_5)
% 1.51/0.55
% 1.51/0.55 [53] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [111] (cf(X18_10_6) => cd(X18_10_6))
% 1.51/0.55
% 1.51/0.55 [111] BETA_IMPLY : (cf(X18_10_6) => cd(X18_10_6))
% 1.51/0.55 -> [113] ~cf(X18_10_6)
% 1.51/0.55 -> [114] cd(X18_10_6)
% 1.51/0.55
% 1.51/0.55 [114] Rewrite : cd(X18_10_6)
% 1.51/0.55 -> [123] ~? [Y10_10] : (ra_Px1(X18_10_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [123] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [124] ~ra_Px1(i2003_11_14_17_22_02803, Y10_16_7)
% 1.51/0.55
% 1.51/0.55 [124] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_16_7)
% 1.51/0.55
% 1.51/0.55 [113] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [128] ~ra_Px1(i2003_11_14_17_22_02803, Y10_17_7)
% 1.51/0.55
% 1.51/0.55 [128] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_17_7)
% 1.51/0.55
% 1.51/0.55 [54] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [64] (cf(X18_1_6) => cd(X18_1_6))
% 1.51/0.55
% 1.51/0.55 [64] BETA_IMPLY : (cf(X18_1_6) => cd(X18_1_6))
% 1.51/0.55 -> [65] ~cf(X18_1_6)
% 1.51/0.55 -> [66] cd(X18_1_6)
% 1.51/0.55
% 1.51/0.55 [66] Rewrite : cd(X18_1_6)
% 1.51/0.55 -> [82] ~? [Y10_10] : (ra_Px1(X18_1_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [82] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [83] ~ra_Px1(i2003_11_14_17_22_02803, Y10_0_7)
% 1.51/0.55
% 1.51/0.55 [83] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_0_7)
% 1.51/0.55
% 1.51/0.55 [65] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [116] ~ra_Px1(i2003_11_14_17_22_02803, Y10_10_7)
% 1.51/0.55
% 1.51/0.55 [116] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_10_7)
% 1.51/0.55
% 1.51/0.55 [35] Rewrite : cd1(X8_2_4)
% 1.51/0.55 -> [41] ra_Px2(X8_2_4, skolem_Y01414(X8_2_4))
% 1.51/0.55
% 1.51/0.55 [41] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [94] (ce3(X17_7_5) => cc(X17_7_5))
% 1.51/0.55
% 1.51/0.55 [94] BETA_IMPLY : (ce3(X17_7_5) => cc(X17_7_5))
% 1.51/0.55 -> [96] ~ce3(X17_7_5)
% 1.51/0.55 -> [97] cc(X17_7_5)
% 1.51/0.55
% 1.51/0.55 [96] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [125] (cf(X18_11_6) => cd(X18_11_6))
% 1.51/0.55
% 1.51/0.55 [125] BETA_IMPLY : (cf(X18_11_6) => cd(X18_11_6))
% 1.51/0.55 -> [126] ~cf(X18_11_6)
% 1.51/0.55 -> [127] cd(X18_11_6)
% 1.51/0.55
% 1.51/0.55 [127] Rewrite : cd(X18_11_6)
% 1.51/0.55 -> [139] ~? [Y10_10] : (ra_Px1(X18_11_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [139] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [141] ~ra_Px1(i2003_11_14_17_22_02803, Y10_20_7)
% 1.51/0.55
% 1.51/0.55 [141] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_20_7)
% 1.51/0.55
% 1.51/0.55 [126] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [146] ~ra_Px1(i2003_11_14_17_22_02803, Y10_22_7)
% 1.51/0.55
% 1.51/0.55 [146] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_22_7)
% 1.51/0.55
% 1.51/0.55 [97] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [129] (cf(X18_12_6) => cd(X18_12_6))
% 1.51/0.55
% 1.51/0.55 [129] BETA_IMPLY : (cf(X18_12_6) => cd(X18_12_6))
% 1.51/0.55 -> [130] ~cf(X18_12_6)
% 1.51/0.55 -> [131] cd(X18_12_6)
% 1.51/0.55
% 1.51/0.55 [131] Rewrite : cd(X18_12_6)
% 1.51/0.55 -> [148] ~? [Y10_10] : (ra_Px1(X18_12_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [148] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [150] ~ra_Px1(i2003_11_14_17_22_02803, Y10_24_7)
% 1.51/0.55
% 1.51/0.55 [150] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_24_7)
% 1.51/0.55
% 1.51/0.55 [130] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [153] ~ra_Px1(i2003_11_14_17_22_02803, Y10_25_7)
% 1.51/0.55
% 1.51/0.55 [153] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_25_7)
% 1.51/0.55
% 1.51/0.55 [9] GAMMA_FORALL : ! [X6_6] : ((cc(X6_6) => cdxcomp(X6_6)))
% 1.51/0.55 -> [11] (cc(i2003_11_14_17_22_02803) => cdxcomp(i2003_11_14_17_22_02803))
% 1.51/0.55
% 1.51/0.55 [11] BETA_IMPLY : (cc(i2003_11_14_17_22_02803) => cdxcomp(i2003_11_14_17_22_02803))
% 1.51/0.55 -> [12] ~cc(i2003_11_14_17_22_02803)
% 1.51/0.55 -> [13] cdxcomp(i2003_11_14_17_22_02803)
% 1.51/0.55
% 1.51/0.55 [12] CLOSURE : ~cc(i2003_11_14_17_22_02803)
% 1.51/0.55
% 1.51/0.55 [13] Rewrite : cdxcomp(i2003_11_14_17_22_02803)
% 1.51/0.55 -> [17] ra_Px1(i2003_11_14_17_22_02803, skolem_Y01212(i2003_11_14_17_22_02803))
% 1.51/0.55
% 1.51/0.55 [17] GAMMA_FORALL : ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7)))
% 1.51/0.55 -> [19] (cc1(X7_0_3) => cd1xcomp(X7_0_3))
% 1.51/0.55
% 1.51/0.55 [19] BETA_IMPLY : (cc1(X7_0_3) => cd1xcomp(X7_0_3))
% 1.51/0.55 -> [20] ~cc1(X7_0_3)
% 1.51/0.55 -> [21] cd1xcomp(X7_0_3)
% 1.51/0.55
% 1.51/0.55 [20] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 1.51/0.55 -> [26] (cc1(X8_0_4) => cd1(X8_0_4))
% 1.51/0.55
% 1.51/0.55 [26] BETA_IMPLY : (cc1(X8_0_4) => cd1(X8_0_4))
% 1.51/0.55 -> [27] ~cc1(X8_0_4)
% 1.51/0.55 -> [28] cd1(X8_0_4)
% 1.51/0.55
% 1.51/0.55 [28] Rewrite : cd1(X8_0_4)
% 1.51/0.55 -> [40] ra_Px2(X8_0_4, skolem_Y01414(X8_0_4))
% 1.51/0.55
% 1.51/0.55 [40] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [58] (ce3(X17_5_5) => cc(X17_5_5))
% 1.51/0.55
% 1.51/0.55 [58] BETA_IMPLY : (ce3(X17_5_5) => cc(X17_5_5))
% 1.51/0.55 -> [59] ~ce3(X17_5_5)
% 1.51/0.55 -> [60] cc(X17_5_5)
% 1.51/0.55
% 1.51/0.55 [59] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [85] (cf(X18_6_6) => cd(X18_6_6))
% 1.51/0.55
% 1.51/0.55 [85] BETA_IMPLY : (cf(X18_6_6) => cd(X18_6_6))
% 1.51/0.55 -> [88] ~cf(X18_6_6)
% 1.51/0.55 -> [89] cd(X18_6_6)
% 1.51/0.55
% 1.51/0.55 [89] Rewrite : cd(X18_6_6)
% 1.51/0.55 -> [105] ~? [Y10_10] : (ra_Px1(X18_6_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [105] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [107] ~ra_Px1(i2003_11_14_17_22_02803, Y10_6_7)
% 1.51/0.55
% 1.51/0.55 [107] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_6_7)
% 1.51/0.55
% 1.51/0.55 [88] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [112] ~ra_Px1(i2003_11_14_17_22_02803, Y10_9_7)
% 1.51/0.55
% 1.51/0.55 [112] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_9_7)
% 1.51/0.55
% 1.51/0.55 [60] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [98] (cf(X18_8_6) => cd(X18_8_6))
% 1.51/0.55
% 1.51/0.55 [98] BETA_IMPLY : (cf(X18_8_6) => cd(X18_8_6))
% 1.51/0.55 -> [99] ~cf(X18_8_6)
% 1.51/0.55 -> [100] cd(X18_8_6)
% 1.51/0.55
% 1.51/0.55 [99] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [110] ~ra_Px1(i2003_11_14_17_22_02803, Y10_8_7)
% 1.51/0.55
% 1.51/0.55 [110] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_8_7)
% 1.51/0.55
% 1.51/0.55 [100] Rewrite : cd(X18_8_6)
% 1.51/0.55 -> [115] ~? [Y10_10] : (ra_Px1(X18_8_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [115] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [120] ~ra_Px1(i2003_11_14_17_22_02803, Y10_13_7)
% 1.51/0.55
% 1.51/0.55 [120] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_13_7)
% 1.51/0.55
% 1.51/0.55 [27] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [42] (ce3(X17_0_5) => cc(X17_0_5))
% 1.51/0.55
% 1.51/0.55 [42] BETA_IMPLY : (ce3(X17_0_5) => cc(X17_0_5))
% 1.51/0.55 -> [46] ~ce3(X17_0_5)
% 1.51/0.55 -> [47] cc(X17_0_5)
% 1.51/0.55
% 1.51/0.55 [46] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [102] (cf(X18_9_6) => cd(X18_9_6))
% 1.51/0.55
% 1.51/0.55 [102] BETA_IMPLY : (cf(X18_9_6) => cd(X18_9_6))
% 1.51/0.55 -> [103] ~cf(X18_9_6)
% 1.51/0.55 -> [104] cd(X18_9_6)
% 1.51/0.55
% 1.51/0.55 [104] Rewrite : cd(X18_9_6)
% 1.51/0.55 -> [119] ~? [Y10_10] : (ra_Px1(X18_9_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [119] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [121] ~ra_Px1(i2003_11_14_17_22_02803, Y10_14_7)
% 1.51/0.55
% 1.51/0.55 [121] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_14_7)
% 1.51/0.55
% 1.51/0.55 [103] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [118] ~ra_Px1(i2003_11_14_17_22_02803, Y10_12_7)
% 1.51/0.55
% 1.51/0.55 [118] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_12_7)
% 1.51/0.55
% 1.51/0.55 [47] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [70] (cf(X18_2_6) => cd(X18_2_6))
% 1.51/0.55
% 1.51/0.55 [70] BETA_IMPLY : (cf(X18_2_6) => cd(X18_2_6))
% 1.51/0.55 -> [71] ~cf(X18_2_6)
% 1.51/0.55 -> [72] cd(X18_2_6)
% 1.51/0.55
% 1.51/0.55 [71] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [95] ~ra_Px1(i2003_11_14_17_22_02803, Y10_3_7)
% 1.51/0.55
% 1.51/0.55 [95] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_3_7)
% 1.51/0.55
% 1.51/0.55 [72] Rewrite : cd(X18_2_6)
% 1.51/0.55 -> [140] ~? [Y10_10] : (ra_Px1(X18_2_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [140] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [142] ~ra_Px1(i2003_11_14_17_22_02803, Y10_21_7)
% 1.51/0.55
% 1.51/0.55 [142] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_21_7)
% 1.51/0.55
% 1.51/0.55 [21] Rewrite : cd1xcomp(X7_0_3)
% 1.51/0.55 -> [25] ~? [Y16_16] : (ra_Px2(X7_0_3, Y16_16))
% 1.51/0.55
% 1.51/0.55 [25] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 1.51/0.55 -> [29] (cc1(X8_1_4) => cd1(X8_1_4))
% 1.51/0.55
% 1.51/0.55 [29] BETA_IMPLY : (cc1(X8_1_4) => cd1(X8_1_4))
% 1.51/0.55 -> [30] ~cc1(X8_1_4)
% 1.51/0.55 -> [31] cd1(X8_1_4)
% 1.51/0.55
% 1.51/0.55 [31] Rewrite : cd1(X8_1_4)
% 1.51/0.55 -> [37] ra_Px2(X8_1_4, skolem_Y01414(X8_1_4))
% 1.51/0.55
% 1.51/0.55 [37] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [55] (ce3(X17_4_5) => cc(X17_4_5))
% 1.51/0.55
% 1.51/0.55 [55] BETA_IMPLY : (ce3(X17_4_5) => cc(X17_4_5))
% 1.51/0.55 -> [56] ~ce3(X17_4_5)
% 1.51/0.55 -> [57] cc(X17_4_5)
% 1.51/0.55
% 1.51/0.55 [57] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [73] (cf(X18_3_6) => cd(X18_3_6))
% 1.51/0.55
% 1.51/0.55 [73] BETA_IMPLY : (cf(X18_3_6) => cd(X18_3_6))
% 1.51/0.55 -> [77] ~cf(X18_3_6)
% 1.51/0.55 -> [78] cd(X18_3_6)
% 1.51/0.55
% 1.51/0.55 [78] Rewrite : cd(X18_3_6)
% 1.51/0.55 -> [86] ~? [Y10_10] : (ra_Px1(X18_3_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [86] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [93] ~ra_Px1(i2003_11_14_17_22_02803, Y10_2_7)
% 1.51/0.55
% 1.51/0.55 [93] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_2_7)
% 1.51/0.55
% 1.51/0.55 [77] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [101] ~ra_Px1(i2003_11_14_17_22_02803, Y10_4_7)
% 1.51/0.55
% 1.51/0.55 [101] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_4_7)
% 1.51/0.55
% 1.51/0.55 [56] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [79] (cf(X18_5_6) => cd(X18_5_6))
% 1.51/0.55
% 1.51/0.55 [79] BETA_IMPLY : (cf(X18_5_6) => cd(X18_5_6))
% 1.51/0.55 -> [80] ~cf(X18_5_6)
% 1.51/0.55 -> [81] cd(X18_5_6)
% 1.51/0.55
% 1.51/0.55 [81] Rewrite : cd(X18_5_6)
% 1.51/0.55 -> [137] ~? [Y10_10] : (ra_Px1(X18_5_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [137] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [138] ~ra_Px1(i2003_11_14_17_22_02803, Y10_19_7)
% 1.51/0.55
% 1.51/0.55 [138] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_19_7)
% 1.51/0.55
% 1.51/0.55 [80] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [147] ~ra_Px1(i2003_11_14_17_22_02803, Y10_23_7)
% 1.51/0.55
% 1.51/0.55 [147] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_23_7)
% 1.51/0.55
% 1.51/0.55 [30] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 1.51/0.55 -> [48] (ce3(X17_2_5) => cc(X17_2_5))
% 1.51/0.55
% 1.51/0.55 [48] BETA_IMPLY : (ce3(X17_2_5) => cc(X17_2_5))
% 1.51/0.55 -> [49] ~ce3(X17_2_5)
% 1.51/0.55 -> [50] cc(X17_2_5)
% 1.51/0.55
% 1.51/0.55 [49] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [74] (cf(X18_4_6) => cd(X18_4_6))
% 1.51/0.55
% 1.51/0.55 [74] BETA_IMPLY : (cf(X18_4_6) => cd(X18_4_6))
% 1.51/0.55 -> [75] ~cf(X18_4_6)
% 1.51/0.55 -> [76] cd(X18_4_6)
% 1.51/0.55
% 1.51/0.55 [76] Rewrite : cd(X18_4_6)
% 1.51/0.55 -> [84] ~? [Y10_10] : (ra_Px1(X18_4_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [84] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [92] ~ra_Px1(i2003_11_14_17_22_02803, Y10_1_7)
% 1.51/0.55
% 1.51/0.55 [92] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_1_7)
% 1.51/0.55
% 1.51/0.55 [75] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [106] ~ra_Px1(i2003_11_14_17_22_02803, Y10_5_7)
% 1.51/0.55
% 1.51/0.55 [106] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_5_7)
% 1.51/0.55
% 1.51/0.55 [50] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 1.51/0.55 -> [149] (cf(X18_15_6) => cd(X18_15_6))
% 1.51/0.55
% 1.51/0.55 [149] BETA_IMPLY : (cf(X18_15_6) => cd(X18_15_6))
% 1.51/0.55 -> [151] ~cf(X18_15_6)
% 1.51/0.55 -> [152] cd(X18_15_6)
% 1.51/0.55
% 1.51/0.55 [152] Rewrite : cd(X18_15_6)
% 1.51/0.55 -> [155] ~? [Y10_10] : (ra_Px1(X18_15_6, Y10_10))
% 1.51/0.55
% 1.51/0.55 [155] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [158] ~ra_Px1(i2003_11_14_17_22_02803, Y10_27_7)
% 1.51/0.55
% 1.51/0.55 [158] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_27_7)
% 1.51/0.55
% 1.51/0.55 [151] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_02803, Y10_10))
% 1.51/0.55 -> [162] ~ra_Px1(i2003_11_14_17_22_02803, Y10_31_7)
% 1.51/0.55
% 1.51/0.55 [162] CLOSURE : ~ra_Px1(i2003_11_14_17_22_02803, Y10_31_7)
% 1.51/0.55
% 1.51/0.55 % SZS output end Proof for theBenchmark.p
% 1.51/0.55 [0.216602s][1][Res] 1567 goroutines created
% 1.51/0.55 ==== Result ====
% 1.51/0.55 [0.216626s][1][Res] VALID
% 1.51/0.55 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------