TSTP Solution File: KRS092+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n028.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 17:33:11 EDT 2022
% Result : Unsatisfiable 4.41s 0.96s
% Output : Proof 4.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Sep 1 09:41:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000034s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Conjecture not found
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 10
% 0.13/0.34 Launch Gotab with destructive = true
% 4.41/0.96 % SZS output start Proof for theBenchmark.p
% 4.41/0.96 [0] ALPHA_AND : (! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2))) & ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))) & ! [X7_7] : ((cc(X7_7) => ~cd(X7_7))) & ! [X8_8] : ((cc1(X8_8) => cd1(X8_8))) & ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9))) & ! [X10_10] : ((ce3(X10_10) => cc(X10_10))) & ! [X11_11] : ((cf(X11_11) => cd(X11_11))) & cUnsatisfiable(i2003_11_14_17_20_04172))
% 4.41/0.96 -> [1] ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2))), ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))), ! [X7_7] : ((cc(X7_7) => ~cd(X7_7))), ! [X8_8] : ((cc1(X8_8) => cd1(X8_8))), ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9))), ! [X10_10] : ((ce3(X10_10) => cc(X10_10))), ! [X11_11] : ((cf(X11_11) => cd(X11_11))), cUnsatisfiable(i2003_11_14_17_20_04172)
% 4.41/0.96
% 4.41/0.96 [1] Rewrite : cUnsatisfiable(i2003_11_14_17_20_04172)
% 4.41/0.96 -> [2] (? [Y5_5] : ((rr(i2003_11_14_17_20_04172, Y5_5) & cowlThing(Y5_5))) & ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6)))))
% 4.41/0.96
% 4.41/0.96 [2] ALPHA_AND : (? [Y5_5] : ((rr(i2003_11_14_17_20_04172, Y5_5) & cowlThing(Y5_5))) & ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6)))))
% 4.41/0.96 -> [3] ? [Y5_5] : ((rr(i2003_11_14_17_20_04172, Y5_5) & cowlThing(Y5_5))), ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96
% 4.41/0.96 [3] DELTA_EXISTS : ? [Y5_5] : ((rr(i2003_11_14_17_20_04172, Y5_5) & cowlThing(Y5_5)))
% 4.41/0.96 -> [4] (rr(i2003_11_14_17_20_04172, skolem_Y55) & cowlThing(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [4] ALPHA_AND : (rr(i2003_11_14_17_20_04172, skolem_Y55) & cowlThing(skolem_Y55))
% 4.41/0.96 -> [5] rr(i2003_11_14_17_20_04172, skolem_Y55), cowlThing(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [5] GAMMA_FORALL : ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 4.41/0.96 -> [6] (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 4.41/0.96
% 4.41/0.96 [6] ALPHA_AND : (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 4.41/0.96 -> [7] cowlThing(X2_0_0), ~cowlNothing(X2_0_0)
% 4.41/0.96
% 4.41/0.96 [7] GAMMA_FORALL : ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 4.41/0.96 -> [8] (xsd_string(X3_0_1) <=> ~xsd_integer(X3_0_1))
% 4.41/0.96
% 4.41/0.96 [8] BETA_EQUIV : (xsd_string(X3_0_1) <=> ~xsd_integer(X3_0_1))
% 4.41/0.96 -> [9] ~xsd_string(X3_0_1), ~~xsd_integer(X3_0_1)
% 4.41/0.96 -> [10] xsd_string(X3_0_1), ~xsd_integer(X3_0_1)
% 4.41/0.96
% 4.41/0.96 [9] ALPHA_NOT_NOT : ~~xsd_integer(X3_0_1)
% 4.41/0.96 -> [12] xsd_integer(X3_0_1)
% 4.41/0.96
% 4.41/0.96 [12] GAMMA_FORALL : ! [X7_7] : ((cc(X7_7) => ~cd(X7_7)))
% 4.41/0.96 -> [15] (cc(skolem_Y55) => ~cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [15] BETA_IMPLY : (cc(skolem_Y55) => ~cd(skolem_Y55))
% 4.41/0.96 -> [17] ~cc(skolem_Y55)
% 4.41/0.96 -> [18] ~cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [17] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 4.41/0.96 -> [26] (cc1(X8_3_3) => cd1(X8_3_3))
% 4.41/0.96
% 4.41/0.96 [26] BETA_IMPLY : (cc1(X8_3_3) => cd1(X8_3_3))
% 4.41/0.96 -> [32] ~cc1(X8_3_3)
% 4.41/0.96 -> [33] cd1(X8_3_3)
% 4.41/0.96
% 4.41/0.96 [33] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [51] (cc1(X9_7_4) => ~cd1(X9_7_4))
% 4.41/0.96
% 4.41/0.96 [51] BETA_IMPLY : (cc1(X9_7_4) => ~cd1(X9_7_4))
% 4.41/0.96 -> [52] ~cc1(X9_7_4)
% 4.41/0.96 -> [53] ~cd1(X9_7_4)
% 4.41/0.96
% 4.41/0.96 [52] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [150] (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [150] BETA_IMPLY : (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96 -> [151] ~ce3(skolem_Y55)
% 4.41/0.96 -> [152] cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [151] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [169] (cf(X11_13_6) => cd(X11_13_6))
% 4.41/0.96
% 4.41/0.96 [169] BETA_IMPLY : (cf(X11_13_6) => cd(X11_13_6))
% 4.41/0.96 -> [170] ~cf(X11_13_6)
% 4.41/0.96 -> [171] cd(X11_13_6)
% 4.41/0.96
% 4.41/0.96 [171] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [180] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [180] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [181] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [182] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [181] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [183] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [170] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [184] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [184] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [185] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [186] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [185] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [187] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [152] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [53] CLOSURE : ~cd1(X9_7_4)
% 4.41/0.96
% 4.41/0.96 [32] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [45] (cc1(X9_5_4) => ~cd1(X9_5_4))
% 4.41/0.96
% 4.41/0.96 [45] BETA_IMPLY : (cc1(X9_5_4) => ~cd1(X9_5_4))
% 4.41/0.96 -> [46] ~cc1(X9_5_4)
% 4.41/0.96 -> [47] ~cd1(X9_5_4)
% 4.41/0.96
% 4.41/0.96 [47] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [68] (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [68] BETA_IMPLY : (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96 -> [69] ~ce3(skolem_Y55)
% 4.41/0.96 -> [70] cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [69] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [96] (cf(X11_3_6) => cd(X11_3_6))
% 4.41/0.96
% 4.41/0.96 [96] BETA_IMPLY : (cf(X11_3_6) => cd(X11_3_6))
% 4.41/0.96 -> [97] ~cf(X11_3_6)
% 4.41/0.96 -> [98] cd(X11_3_6)
% 4.41/0.96
% 4.41/0.96 [98] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [188] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [188] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [189] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [190] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [189] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [191] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [97] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [233] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [233] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [234] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [235] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [234] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [239] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [70] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [46] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [84] (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [84] BETA_IMPLY : (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96 -> [88] ~ce3(skolem_Y55)
% 4.41/0.96 -> [89] cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [88] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [109] (cf(X11_6_6) => cd(X11_6_6))
% 4.41/0.96
% 4.41/0.96 [109] BETA_IMPLY : (cf(X11_6_6) => cd(X11_6_6))
% 4.41/0.96 -> [110] ~cf(X11_6_6)
% 4.41/0.96 -> [111] cd(X11_6_6)
% 4.41/0.96
% 4.41/0.96 [111] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [135] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [135] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [138] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [139] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [138] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [142] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [110] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [217] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [217] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [218] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [219] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [218] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [223] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [89] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [18] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 4.41/0.96 -> [25] (cc1(X8_2_3) => cd1(X8_2_3))
% 4.41/0.96
% 4.41/0.96 [25] BETA_IMPLY : (cc1(X8_2_3) => cd1(X8_2_3))
% 4.41/0.96 -> [30] ~cc1(X8_2_3)
% 4.41/0.96 -> [31] cd1(X8_2_3)
% 4.41/0.96
% 4.41/0.96 [30] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [42] (cc1(X9_4_4) => ~cd1(X9_4_4))
% 4.41/0.96
% 4.41/0.96 [42] BETA_IMPLY : (cc1(X9_4_4) => ~cd1(X9_4_4))
% 4.41/0.96 -> [43] ~cc1(X9_4_4)
% 4.41/0.96 -> [44] ~cd1(X9_4_4)
% 4.41/0.96
% 4.41/0.96 [43] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [71] (ce3(X10_7_5) => cc(X10_7_5))
% 4.41/0.96
% 4.41/0.96 [71] BETA_IMPLY : (ce3(X10_7_5) => cc(X10_7_5))
% 4.41/0.96 -> [72] ~ce3(X10_7_5)
% 4.41/0.96 -> [73] cc(X10_7_5)
% 4.41/0.96
% 4.41/0.96 [72] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [146] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [146] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [147] ~cf(skolem_Y55)
% 4.41/0.96 -> [148] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [147] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [157] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [157] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [158] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [159] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [158] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [160] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [148] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [73] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [106] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [106] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [107] ~cf(skolem_Y55)
% 4.41/0.96 -> [108] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [108] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [161] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [241] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [242] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [242] ALPHA_AND : (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96 -> [243] cd(skolem_Y55), cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [243] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [241] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [44] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [65] (ce3(X10_5_5) => cc(X10_5_5))
% 4.41/0.96
% 4.41/0.96 [65] BETA_IMPLY : (ce3(X10_5_5) => cc(X10_5_5))
% 4.41/0.96 -> [66] ~ce3(X10_5_5)
% 4.41/0.96 -> [67] cc(X10_5_5)
% 4.41/0.96
% 4.41/0.96 [66] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [131] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [131] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [132] ~cf(skolem_Y55)
% 4.41/0.96 -> [133] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [133] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [172] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [225] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [226] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [225] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [227] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [67] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [125] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [125] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [126] ~cf(skolem_Y55)
% 4.41/0.96 -> [127] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [126] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [220] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [220] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [221] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [222] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [221] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [224] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [127] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [31] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [48] (cc1(X9_6_4) => ~cd1(X9_6_4))
% 4.41/0.96
% 4.41/0.96 [48] BETA_IMPLY : (cc1(X9_6_4) => ~cd1(X9_6_4))
% 4.41/0.96 -> [49] ~cc1(X9_6_4)
% 4.41/0.96 -> [50] ~cd1(X9_6_4)
% 4.41/0.96
% 4.41/0.96 [50] CLOSURE : ~cd1(X9_6_4)
% 4.41/0.96
% 4.41/0.96 [74] BETA_IMPLY : (ce3(X10_8_5) => cc(X10_8_5))
% 4.41/0.96 -> [280] ~ce3(X10_8_5)
% 4.41/0.96 -> [281] cc(X10_8_5)
% 4.41/0.96
% 4.41/0.96 [281] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [291] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [291] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [292] ~cf(skolem_Y55)
% 4.41/0.96 -> [293] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [292] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [306] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [306] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [307] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [308] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [307] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [309] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [293] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [280] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [288] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [288] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [289] ~cf(skolem_Y55)
% 4.41/0.96 -> [290] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [289] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [302] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [302] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [303] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [304] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [303] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [305] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [290] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [10] GAMMA_FORALL : ! [X7_7] : ((cc(X7_7) => ~cd(X7_7)))
% 4.41/0.96 -> [11] (cc(skolem_Y55) => ~cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [11] BETA_IMPLY : (cc(skolem_Y55) => ~cd(skolem_Y55))
% 4.41/0.96 -> [13] ~cc(skolem_Y55)
% 4.41/0.96 -> [14] ~cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [13] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 4.41/0.96 -> [16] (cc1(X8_0_3) => cd1(X8_0_3))
% 4.41/0.96
% 4.41/0.96 [16] BETA_IMPLY : (cc1(X8_0_3) => cd1(X8_0_3))
% 4.41/0.96 -> [19] ~cc1(X8_0_3)
% 4.41/0.96 -> [20] cd1(X8_0_3)
% 4.41/0.96
% 4.41/0.96 [19] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [24] (cc1(X9_0_4) => ~cd1(X9_0_4))
% 4.41/0.96
% 4.41/0.96 [24] BETA_IMPLY : (cc1(X9_0_4) => ~cd1(X9_0_4))
% 4.41/0.96 -> [28] ~cc1(X9_0_4)
% 4.41/0.96 -> [29] ~cd1(X9_0_4)
% 4.41/0.96
% 4.41/0.96 [28] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [59] (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [59] BETA_IMPLY : (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96 -> [61] ~ce3(skolem_Y55)
% 4.41/0.96 -> [62] cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [61] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [77] (cf(X11_0_6) => cd(X11_0_6))
% 4.41/0.96
% 4.41/0.96 [77] BETA_IMPLY : (cf(X11_0_6) => cd(X11_0_6))
% 4.41/0.96 -> [78] ~cf(X11_0_6)
% 4.41/0.96 -> [79] cd(X11_0_6)
% 4.41/0.96
% 4.41/0.96 [79] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [153] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [153] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [154] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [155] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [154] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [156] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [78] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [99] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [99] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [100] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [101] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [100] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [105] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [62] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [29] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [56] (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [56] BETA_IMPLY : (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96 -> [57] ~ce3(skolem_Y55)
% 4.41/0.96 -> [58] cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [58] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [93] BETA_IMPLY : (cf(X11_2_6) => cd(X11_2_6))
% 4.41/0.96 -> [228] ~cf(X11_2_6)
% 4.41/0.96 -> [229] cd(X11_2_6)
% 4.41/0.96
% 4.41/0.96 [229] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [244] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [244] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [245] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [246] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [245] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [247] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [228] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [252] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [252] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [253] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [254] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [253] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [255] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [20] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [27] (cc1(X9_1_4) => ~cd1(X9_1_4))
% 4.41/0.96
% 4.41/0.96 [27] BETA_IMPLY : (cc1(X9_1_4) => ~cd1(X9_1_4))
% 4.41/0.96 -> [34] ~cc1(X9_1_4)
% 4.41/0.96 -> [35] ~cd1(X9_1_4)
% 4.41/0.96
% 4.41/0.96 [34] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [55] (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [55] BETA_IMPLY : (ce3(skolem_Y55) => cc(skolem_Y55))
% 4.41/0.96 -> [82] ~ce3(skolem_Y55)
% 4.41/0.96 -> [83] cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [83] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [112] BETA_IMPLY : (cf(X11_7_6) => cd(X11_7_6))
% 4.41/0.96 -> [268] ~cf(X11_7_6)
% 4.41/0.96 -> [269] cd(X11_7_6)
% 4.41/0.96
% 4.41/0.96 [269] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [273] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [273] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [274] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [275] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [274] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [277] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [268] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [270] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [270] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [271] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [272] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [271] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [276] CLOSURE : cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [35] CLOSURE : ~cd1(X9_1_4)
% 4.41/0.96
% 4.41/0.96 [14] GAMMA_FORALL : ! [X8_8] : ((cc1(X8_8) => cd1(X8_8)))
% 4.41/0.96 -> [21] (cc1(X8_1_3) => cd1(X8_1_3))
% 4.41/0.96
% 4.41/0.96 [21] BETA_IMPLY : (cc1(X8_1_3) => cd1(X8_1_3))
% 4.41/0.96 -> [22] ~cc1(X8_1_3)
% 4.41/0.96 -> [23] cd1(X8_1_3)
% 4.41/0.96
% 4.41/0.96 [22] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [36] (cc1(X9_2_4) => ~cd1(X9_2_4))
% 4.41/0.96
% 4.41/0.96 [36] BETA_IMPLY : (cc1(X9_2_4) => ~cd1(X9_2_4))
% 4.41/0.96 -> [37] ~cc1(X9_2_4)
% 4.41/0.96 -> [38] ~cd1(X9_2_4)
% 4.41/0.96
% 4.41/0.96 [37] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [60] (ce3(X10_4_5) => cc(X10_4_5))
% 4.41/0.96
% 4.41/0.96 [60] BETA_IMPLY : (ce3(X10_4_5) => cc(X10_4_5))
% 4.41/0.96 -> [63] ~ce3(X10_4_5)
% 4.41/0.96 -> [64] cc(X10_4_5)
% 4.41/0.96
% 4.41/0.96 [64] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [90] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [90] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [91] ~cf(skolem_Y55)
% 4.41/0.96 -> [92] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [91] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [115] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [115] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [116] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [117] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [116] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [118] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [92] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [63] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [199] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [199] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [200] ~cf(skolem_Y55)
% 4.41/0.96 -> [201] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [201] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [205] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [258] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [259] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [259] ALPHA_AND : (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96 -> [261] cd(skolem_Y55), cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [261] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [258] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [38] GAMMA_FORALL : ! [X10_10] : ((ce3(X10_10) => cc(X10_10)))
% 4.41/0.96 -> [54] (ce3(X10_0_5) => cc(X10_0_5))
% 4.41/0.96
% 4.41/0.96 [54] BETA_IMPLY : (ce3(X10_0_5) => cc(X10_0_5))
% 4.41/0.96 -> [80] ~ce3(X10_0_5)
% 4.41/0.96 -> [81] cc(X10_0_5)
% 4.41/0.96
% 4.41/0.96 [81] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [196] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [196] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [197] ~cf(skolem_Y55)
% 4.41/0.96 -> [198] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [198] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [208] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [262] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [263] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [262] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [264] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [80] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [202] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [202] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [203] ~cf(skolem_Y55)
% 4.41/0.96 -> [204] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [204] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [213] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [265] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [266] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [266] ALPHA_AND : (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96 -> [267] cd(skolem_Y55), cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [267] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [265] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [23] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => ~cd1(X9_9)))
% 4.41/0.96 -> [39] (cc1(X9_3_4) => ~cd1(X9_3_4))
% 4.41/0.96
% 4.41/0.96 [39] BETA_IMPLY : (cc1(X9_3_4) => ~cd1(X9_3_4))
% 4.41/0.96 -> [40] ~cc1(X9_3_4)
% 4.41/0.96 -> [41] ~cd1(X9_3_4)
% 4.41/0.96
% 4.41/0.96 [41] CLOSURE : ~cd1(X9_3_4)
% 4.41/0.96
% 4.41/0.96 [85] BETA_IMPLY : (ce3(X10_10_5) => cc(X10_10_5))
% 4.41/0.96 -> [278] ~ce3(X10_10_5)
% 4.41/0.96 -> [279] cc(X10_10_5)
% 4.41/0.96
% 4.41/0.96 [278] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [282] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [282] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [283] ~cf(skolem_Y55)
% 4.41/0.96 -> [284] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [283] GAMMA_FORALL : ! [Y6_6] : ((rr(i2003_11_14_17_20_04172, Y6_6) => (cd(Y6_6) & cc(Y6_6))))
% 4.41/0.96 -> [294] (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96
% 4.41/0.96 [294] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [295] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [296] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [295] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [297] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [284] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [279] GAMMA_FORALL : ! [X11_11] : ((cf(X11_11) => cd(X11_11)))
% 4.41/0.96 -> [285] (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [285] BETA_IMPLY : (cf(skolem_Y55) => cd(skolem_Y55))
% 4.41/0.96 -> [286] ~cf(skolem_Y55)
% 4.41/0.96 -> [287] cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [287] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [298] BETA_IMPLY : (rr(i2003_11_14_17_20_04172, skolem_Y55) => (cd(skolem_Y55) & cc(skolem_Y55)))
% 4.41/0.96 -> [310] ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96 -> [311] (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96
% 4.41/0.96 [311] ALPHA_AND : (cd(skolem_Y55) & cc(skolem_Y55))
% 4.41/0.96 -> [312] cd(skolem_Y55), cc(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [312] CLOSURE : cd(skolem_Y55)
% 4.41/0.96
% 4.41/0.96 [310] CLOSURE : ~rr(i2003_11_14_17_20_04172, skolem_Y55)
% 4.41/0.96
% 4.41/0.96 % SZS output end Proof for theBenchmark.p
% 4.41/0.96 [0.614733s][1][Res] 6228 goroutines created
% 4.41/0.96 ==== Result ====
% 4.41/0.96 [0.614749s][1][Res] VALID
% 4.41/0.96 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------