TSTP Solution File: KRS125+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS125+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.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 3.01s 0.81s
% Output : Proof 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS125+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n029.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 : Thu Sep 1 09:46:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000041s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Conjecture not found
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 16
% 0.13/0.35 Launch Gotab with destructive = true
% 3.01/0.81 % SZS output start Proof for theBenchmark.p
% 3.01/0.81 [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_17947))
% 3.01/0.81 -> [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_17947)
% 3.01/0.81
% 3.01/0.81 [1] Rewrite : cUnsatisfiable(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [2] (ce3(i2003_11_14_17_22_17947) & cf(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [2] ALPHA_AND : (ce3(i2003_11_14_17_22_17947) & cf(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [3] ce3(i2003_11_14_17_22_17947), cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [3] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 3.01/0.81 -> [4] (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 3.01/0.81
% 3.01/0.81 [4] ALPHA_AND : (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 3.01/0.81 -> [5] cowlThing(X3_0_0), ~cowlNothing(X3_0_0)
% 3.01/0.81
% 3.01/0.81 [5] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 3.01/0.81 -> [6] (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 3.01/0.81
% 3.01/0.81 [6] BETA_EQUIV : (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 3.01/0.81 -> [7] ~xsd_string(X4_0_1), ~~xsd_integer(X4_0_1)
% 3.01/0.81 -> [8] xsd_string(X4_0_1), ~xsd_integer(X4_0_1)
% 3.01/0.81
% 3.01/0.81 [8] GAMMA_FORALL : ! [X6_6] : ((cc(X6_6) => cdxcomp(X6_6)))
% 3.01/0.81 -> [10] (cc(i2003_11_14_17_22_17947) => cdxcomp(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [10] BETA_IMPLY : (cc(i2003_11_14_17_22_17947) => cdxcomp(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [11] ~cc(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [12] cdxcomp(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [11] GAMMA_FORALL : ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7)))
% 3.01/0.81 -> [16] (cc1(X7_0_3) => cd1xcomp(X7_0_3))
% 3.01/0.81
% 3.01/0.81 [16] BETA_IMPLY : (cc1(X7_0_3) => cd1xcomp(X7_0_3))
% 3.01/0.81 -> [17] ~cc1(X7_0_3)
% 3.01/0.81 -> [18] cd1xcomp(X7_0_3)
% 3.01/0.81
% 3.01/0.81 [18] Rewrite : cd1xcomp(X7_0_3)
% 3.01/0.81 -> [22] ~? [Y16_16] : (ra_Px2(X7_0_3, Y16_16))
% 3.01/0.81
% 3.01/0.81 [22] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [25] (cc1(X8_0_4) => cd1(X8_0_4))
% 3.01/0.81
% 3.01/0.81 [25] BETA_IMPLY : (cc1(X8_0_4) => cd1(X8_0_4))
% 3.01/0.81 -> [26] ~cc1(X8_0_4)
% 3.01/0.81 -> [27] cd1(X8_0_4)
% 3.01/0.81
% 3.01/0.81 [26] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [42] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [42] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [43] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [44] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [43] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [44] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [27] Rewrite : cd1(X8_0_4)
% 3.01/0.81 -> [37] ra_Px2(X8_0_4, skolem_Y01414(X8_0_4))
% 3.01/0.81
% 3.01/0.81 [37] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [56] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [56] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [57] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [58] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [57] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [58] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [17] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [29] (cc1(X8_1_4) => cd1(X8_1_4))
% 3.01/0.81
% 3.01/0.81 [29] BETA_IMPLY : (cc1(X8_1_4) => cd1(X8_1_4))
% 3.01/0.81 -> [32] ~cc1(X8_1_4)
% 3.01/0.81 -> [33] cd1(X8_1_4)
% 3.01/0.81
% 3.01/0.81 [33] Rewrite : cd1(X8_1_4)
% 3.01/0.81 -> [55] ra_Px2(X8_1_4, skolem_Y01414(X8_1_4))
% 3.01/0.81
% 3.01/0.81 [55] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [82] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [82] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [83] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [84] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [83] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [84] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [32] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [60] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [60] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [66] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [67] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [66] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [67] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [12] Rewrite : cdxcomp(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [19] ra_Px1(i2003_11_14_17_22_17947, skolem_Y01212(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [19] GAMMA_FORALL : ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7)))
% 3.01/0.81 -> [28] (cc1(X7_2_3) => cd1xcomp(X7_2_3))
% 3.01/0.81
% 3.01/0.81 [28] BETA_IMPLY : (cc1(X7_2_3) => cd1xcomp(X7_2_3))
% 3.01/0.81 -> [30] ~cc1(X7_2_3)
% 3.01/0.81 -> [31] cd1xcomp(X7_2_3)
% 3.01/0.81
% 3.01/0.81 [30] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [52] (cc1(X8_5_4) => cd1(X8_5_4))
% 3.01/0.81
% 3.01/0.81 [52] BETA_IMPLY : (cc1(X8_5_4) => cd1(X8_5_4))
% 3.01/0.81 -> [53] ~cc1(X8_5_4)
% 3.01/0.81 -> [54] cd1(X8_5_4)
% 3.01/0.81
% 3.01/0.81 [53] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [92] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [92] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [93] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [94] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [93] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [108] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [167] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [168] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [167] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [168] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81 -> [194] ~ra_Px1(i2003_11_14_17_22_17947, Y10_17_7)
% 3.01/0.81
% 3.01/0.81 [194] CLOSURE : ~ra_Px1(i2003_11_14_17_22_17947, Y10_17_7)
% 3.01/0.81
% 3.01/0.81 [54] Rewrite : cd1(X8_5_4)
% 3.01/0.81 -> [68] ra_Px2(X8_5_4, skolem_Y01414(X8_5_4))
% 3.01/0.81
% 3.01/0.81 [68] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [85] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [85] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [86] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [87] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [86] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [111] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [174] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [175] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [174] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [175] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81 -> [197] ~ra_Px1(i2003_11_14_17_22_17947, Y10_18_7)
% 3.01/0.81
% 3.01/0.81 [197] CLOSURE : ~ra_Px1(i2003_11_14_17_22_17947, Y10_18_7)
% 3.01/0.81
% 3.01/0.81 [31] Rewrite : cd1xcomp(X7_2_3)
% 3.01/0.81 -> [46] ~? [Y16_16] : (ra_Px2(X7_2_3, Y16_16))
% 3.01/0.81
% 3.01/0.81 [46] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [49] (cc1(X7_2_3) => cd1(X7_2_3))
% 3.01/0.81
% 3.01/0.81 [49] BETA_IMPLY : (cc1(X7_2_3) => cd1(X7_2_3))
% 3.01/0.81 -> [50] ~cc1(X7_2_3)
% 3.01/0.81 -> [51] cd1(X7_2_3)
% 3.01/0.81
% 3.01/0.81 [51] Rewrite : cd1(X7_2_3)
% 3.01/0.81 -> [65] ra_Px2(X7_2_3, skolem_Y01414(X7_2_3))
% 3.01/0.81
% 3.01/0.81 [65] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [79] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [79] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [80] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [81] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [80] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [98] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [163] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [164] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [163] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [164] GAMMA_NOT_EXISTS : ~? [Y16_16] : (ra_Px2(X7_2_3, Y16_16))
% 3.01/0.81 -> [187] ~ra_Px2(X7_2_3, Y16_10_7)
% 3.01/0.81
% 3.01/0.81 [187] CLOSURE : ~ra_Px2(X7_2_3, Y16_10_7)
% 3.01/0.81
% 3.01/0.81 [137] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [212] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [213] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [213] GAMMA_FORALL : ! [X18_18] : ((cf(X18_18) => cd(X18_18)))
% 3.01/0.81 -> [215] (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [215] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [216] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [217] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [216] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [217] GAMMA_NOT_EXISTS : ~? [Y16_16] : (ra_Px2(X7_2_3, Y16_16))
% 3.01/0.81 -> [223] ~ra_Px2(X7_2_3, Y16_16_7)
% 3.01/0.81
% 3.01/0.81 [223] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81 -> [224] ~ra_Px1(i2003_11_14_17_22_17947, Y10_25_8)
% 3.01/0.81
% 3.01/0.81 [224] CLOSURE : ~ra_Px1(i2003_11_14_17_22_17947, Y10_25_8)
% 3.01/0.81
% 3.01/0.81 [212] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [7] ALPHA_NOT_NOT : ~~xsd_integer(X4_0_1)
% 3.01/0.81 -> [9] xsd_integer(X4_0_1)
% 3.01/0.81
% 3.01/0.81 [9] GAMMA_FORALL : ! [X6_6] : ((cc(X6_6) => cdxcomp(X6_6)))
% 3.01/0.81 -> [13] (cc(i2003_11_14_17_22_17947) => cdxcomp(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [13] BETA_IMPLY : (cc(i2003_11_14_17_22_17947) => cdxcomp(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [14] ~cc(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [15] cdxcomp(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [14] GAMMA_FORALL : ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7)))
% 3.01/0.81 -> [21] (cc1(X7_1_3) => cd1xcomp(X7_1_3))
% 3.01/0.81
% 3.01/0.81 [21] BETA_IMPLY : (cc1(X7_1_3) => cd1xcomp(X7_1_3))
% 3.01/0.81 -> [23] ~cc1(X7_1_3)
% 3.01/0.81 -> [24] cd1xcomp(X7_1_3)
% 3.01/0.81
% 3.01/0.81 [24] Rewrite : cd1xcomp(X7_1_3)
% 3.01/0.81 -> [38] ~? [Y16_16] : (ra_Px2(X7_1_3, Y16_16))
% 3.01/0.81
% 3.01/0.81 [38] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [39] (cc1(X8_2_4) => cd1(X8_2_4))
% 3.01/0.81
% 3.01/0.81 [39] BETA_IMPLY : (cc1(X8_2_4) => cd1(X8_2_4))
% 3.01/0.81 -> [40] ~cc1(X8_2_4)
% 3.01/0.81 -> [41] cd1(X8_2_4)
% 3.01/0.81
% 3.01/0.81 [41] Rewrite : cd1(X8_2_4)
% 3.01/0.81 -> [61] ra_Px2(X8_2_4, skolem_Y01414(X8_2_4))
% 3.01/0.81
% 3.01/0.81 [61] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [88] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [88] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [89] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [90] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [89] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [90] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [40] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [70] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [70] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [71] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [72] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [71] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [72] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [23] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [45] (cc1(X8_3_4) => cd1(X8_3_4))
% 3.01/0.81
% 3.01/0.81 [45] BETA_IMPLY : (cc1(X8_3_4) => cd1(X8_3_4))
% 3.01/0.81 -> [47] ~cc1(X8_3_4)
% 3.01/0.81 -> [48] cd1(X8_3_4)
% 3.01/0.81
% 3.01/0.81 [47] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [73] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [73] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [74] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [75] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [74] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [75] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [48] Rewrite : cd1(X8_3_4)
% 3.01/0.81 -> [69] ra_Px2(X8_3_4, skolem_Y01414(X8_3_4))
% 3.01/0.81
% 3.01/0.81 [69] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [126] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [126] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [127] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [128] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [127] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [128] CLOSURE : cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [15] Rewrite : cdxcomp(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [20] ra_Px1(i2003_11_14_17_22_17947, skolem_Y01212(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [20] GAMMA_FORALL : ! [X7_7] : ((cc1(X7_7) => cd1xcomp(X7_7)))
% 3.01/0.81 -> [34] (cc1(X7_3_3) => cd1xcomp(X7_3_3))
% 3.01/0.81
% 3.01/0.81 [34] BETA_IMPLY : (cc1(X7_3_3) => cd1xcomp(X7_3_3))
% 3.01/0.81 -> [35] ~cc1(X7_3_3)
% 3.01/0.81 -> [36] cd1xcomp(X7_3_3)
% 3.01/0.81
% 3.01/0.81 [35] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [76] (cc1(X8_7_4) => cd1(X8_7_4))
% 3.01/0.81
% 3.01/0.81 [76] BETA_IMPLY : (cc1(X8_7_4) => cd1(X8_7_4))
% 3.01/0.81 -> [77] ~cc1(X8_7_4)
% 3.01/0.81 -> [78] cd1(X8_7_4)
% 3.01/0.81
% 3.01/0.81 [77] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [95] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [95] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [96] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [97] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [96] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [123] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [171] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [172] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [171] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [172] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81 -> [191] ~ra_Px1(i2003_11_14_17_22_17947, Y10_16_7)
% 3.01/0.81
% 3.01/0.81 [191] CLOSURE : ~ra_Px1(i2003_11_14_17_22_17947, Y10_16_7)
% 3.01/0.81
% 3.01/0.81 [78] Rewrite : cd1(X8_7_4)
% 3.01/0.81 -> [104] ra_Px2(X8_7_4, skolem_Y01414(X8_7_4))
% 3.01/0.81
% 3.01/0.81 [104] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [132] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [132] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [133] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [134] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [133] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [142] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [182] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [183] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [182] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [183] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81 -> [198] ~ra_Px1(i2003_11_14_17_22_17947, Y10_19_7)
% 3.01/0.81
% 3.01/0.81 [198] CLOSURE : ~ra_Px1(i2003_11_14_17_22_17947, Y10_19_7)
% 3.01/0.81
% 3.01/0.81 [36] Rewrite : cd1xcomp(X7_3_3)
% 3.01/0.81 -> [59] ~? [Y16_16] : (ra_Px2(X7_3_3, Y16_16))
% 3.01/0.81
% 3.01/0.81 [59] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 3.01/0.81 -> [62] (cc1(X7_3_3) => cd1(X7_3_3))
% 3.01/0.81
% 3.01/0.81 [62] BETA_IMPLY : (cc1(X7_3_3) => cd1(X7_3_3))
% 3.01/0.81 -> [63] ~cc1(X7_3_3)
% 3.01/0.81 -> [64] cd1(X7_3_3)
% 3.01/0.81
% 3.01/0.81 [64] Rewrite : cd1(X7_3_3)
% 3.01/0.81 -> [91] ra_Px2(X7_3_3, skolem_Y01414(X7_3_3))
% 3.01/0.81
% 3.01/0.81 [91] GAMMA_FORALL : ! [X17_17] : ((ce3(X17_17) => cc(X17_17)))
% 3.01/0.81 -> [99] (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81
% 3.01/0.81 [99] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [102] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [103] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [102] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [129] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [165] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [166] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [166] Rewrite : cd(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [176] ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81
% 3.01/0.81 [176] GAMMA_NOT_EXISTS : ~? [Y16_16] : (ra_Px2(X7_3_3, Y16_16))
% 3.01/0.81 -> [177] ~ra_Px2(X7_3_3, Y16_8_7)
% 3.01/0.81
% 3.01/0.81 [177] CLOSURE : ~ra_Px2(X7_3_3, Y16_8_7)
% 3.01/0.81
% 3.01/0.81 [165] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [105] BETA_IMPLY : (ce3(i2003_11_14_17_22_17947) => cc(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [205] ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [206] cc(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [205] CLOSURE : ~ce3(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [207] BETA_IMPLY : (cf(i2003_11_14_17_22_17947) => cd(i2003_11_14_17_22_17947))
% 3.01/0.81 -> [225] ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [226] cd(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 [226] Rewrite : cd(i2003_11_14_17_22_17947)
% 3.01/0.81 -> [227] ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81
% 3.01/0.81 [227] GAMMA_NOT_EXISTS : ~? [Y16_16] : (ra_Px2(X7_3_3, Y16_16))
% 3.01/0.81 -> [228] ~ra_Px2(X7_3_3, Y16_17_7)
% 3.01/0.81
% 3.01/0.81 [228] GAMMA_NOT_EXISTS : ~? [Y10_10] : (ra_Px1(i2003_11_14_17_22_17947, Y10_10))
% 3.01/0.81 -> [229] ~ra_Px1(i2003_11_14_17_22_17947, Y10_26_8)
% 3.01/0.81
% 3.01/0.81 [229] CLOSURE : ~ra_Px1(i2003_11_14_17_22_17947, Y10_26_8)
% 3.01/0.81
% 3.01/0.81 [225] CLOSURE : ~cf(i2003_11_14_17_22_17947)
% 3.01/0.81
% 3.01/0.81 % SZS output end Proof for theBenchmark.p
% 3.01/0.81 [0.466046s][1][Res] 4111 goroutines created
% 3.01/0.81 ==== Result ====
% 3.01/0.81 [0.466063s][1][Res] VALID
% 3.01/0.81 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------