TSTP Solution File: KRS100+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : KRS100+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n010.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 17:33:12 EDT 2022

% Result   : Unsatisfiable 0.13s 0.41s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS100+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.13/0.34  % Computer : n010.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 09:25:43 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  [0.000037s][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 : 7
% 0.13/0.35  Launch Gotab with destructive = true
% 0.13/0.41  % SZS output start Proof for theBenchmark.p
% 0.13/0.41  [0] ALPHA_AND : (! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2))) & ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))) & ! [X8_8] :  ((cc(X8_8) => ~cd(X8_8))) & cUnsatisfiable(i2003_11_14_17_20_32704))
% 0.13/0.41  	-> [1] ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2))), ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))), ! [X8_8] :  ((cc(X8_8) => ~cd(X8_8))), cUnsatisfiable(i2003_11_14_17_20_32704)
% 0.13/0.41  
% 0.13/0.41  [1] Rewrite : cUnsatisfiable(i2003_11_14_17_20_32704)
% 0.13/0.41  	-> [2] ((! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5)))) & ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))) & ? [Y7_7] :  ((rr(i2003_11_14_17_20_32704, Y7_7) & ~ce(Y7_7))))
% 0.13/0.41  
% 0.13/0.41  [2] ALPHA_AND : ((! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5)))) & ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))) & ? [Y7_7] :  ((rr(i2003_11_14_17_20_32704, Y7_7) & ~ce(Y7_7))))
% 0.13/0.41  	-> [3] (! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5)))) & ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))), ? [Y7_7] :  ((rr(i2003_11_14_17_20_32704, Y7_7) & ~ce(Y7_7)))
% 0.13/0.41  
% 0.13/0.41  [3] ALPHA_AND : (! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5)))) & ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6))))
% 0.13/0.41  	-> [4] ! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5)))), ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))
% 0.13/0.41  
% 0.13/0.41  [4] DELTA_EXISTS : ? [Y7_7] :  ((rr(i2003_11_14_17_20_32704, Y7_7) & ~ce(Y7_7)))
% 0.13/0.41  	-> [5] (rr(i2003_11_14_17_20_32704, skolem_Y77) & ~ce(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [5] ALPHA_AND : (rr(i2003_11_14_17_20_32704, skolem_Y77) & ~ce(skolem_Y77))
% 0.13/0.41  	-> [6] rr(i2003_11_14_17_20_32704, skolem_Y77), ~ce(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [6] GAMMA_FORALL : ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.13/0.41  	-> [7] (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 0.13/0.41  
% 0.13/0.41  [7] ALPHA_AND : (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 0.13/0.41  	-> [8] cowlThing(X2_0_0), ~cowlNothing(X2_0_0)
% 0.13/0.41  
% 0.13/0.41  [8] GAMMA_FORALL : ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 0.13/0.41  	-> [9] (xsd_string(X3_0_1) <=> ~xsd_integer(X3_0_1))
% 0.13/0.41  
% 0.13/0.41  [9] BETA_EQUIV : (xsd_string(X3_0_1) <=> ~xsd_integer(X3_0_1))
% 0.13/0.41  	-> [10] ~xsd_string(X3_0_1), ~~xsd_integer(X3_0_1)
% 0.13/0.41  	-> [11] xsd_string(X3_0_1), ~xsd_integer(X3_0_1)
% 0.13/0.41  
% 0.13/0.41  [11] GAMMA_FORALL : ! [X8_8] :  ((cc(X8_8) => ~cd(X8_8)))
% 0.13/0.41  	-> [13] (cc(X8_0_2) => ~cd(X8_0_2))
% 0.13/0.41  
% 0.13/0.41  [13] BETA_IMPLY : (cc(X8_0_2) => ~cd(X8_0_2))
% 0.13/0.41  	-> [14] ~cc(X8_0_2)
% 0.13/0.41  	-> [15] ~cd(X8_0_2)
% 0.13/0.41  
% 0.13/0.41  [15] GAMMA_FORALL : ! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5))))
% 0.13/0.41  	-> [22] (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  
% 0.13/0.41  [22] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  	-> [23] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [24] (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [23] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [24] BETA_OR : (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  	-> [27] ce(skolem_Y77)
% 0.13/0.41  	-> [28] ~cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [27] CLOSURE : ce(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [28] GAMMA_FORALL : ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))
% 0.13/0.41  	-> [39] (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [39] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  	-> [40] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [41] cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [40] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [41] CLOSURE : cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [14] GAMMA_FORALL : ! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5))))
% 0.13/0.41  	-> [19] (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  
% 0.13/0.41  [19] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  	-> [20] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [21] (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [20] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [21] BETA_OR : (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  	-> [25] ce(skolem_Y77)
% 0.13/0.41  	-> [26] ~cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [25] CLOSURE : ce(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [26] GAMMA_FORALL : ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))
% 0.13/0.41  	-> [42] (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [42] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  	-> [43] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [44] cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [43] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [44] CLOSURE : cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [10] ALPHA_NOT_NOT : ~~xsd_integer(X3_0_1)
% 0.13/0.41  	-> [12] xsd_integer(X3_0_1)
% 0.13/0.41  
% 0.13/0.41  [12] GAMMA_FORALL : ! [X8_8] :  ((cc(X8_8) => ~cd(X8_8)))
% 0.13/0.41  	-> [16] (cc(X8_1_2) => ~cd(X8_1_2))
% 0.13/0.41  
% 0.13/0.41  [16] BETA_IMPLY : (cc(X8_1_2) => ~cd(X8_1_2))
% 0.13/0.41  	-> [17] ~cc(X8_1_2)
% 0.13/0.41  	-> [18] ~cd(X8_1_2)
% 0.13/0.41  
% 0.13/0.41  [17] GAMMA_FORALL : ! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5))))
% 0.13/0.41  	-> [29] (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  
% 0.13/0.41  [29] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  	-> [30] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [31] (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [30] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [31] BETA_OR : (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  	-> [35] ce(skolem_Y77)
% 0.13/0.41  	-> [36] ~cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [35] CLOSURE : ce(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [36] GAMMA_FORALL : ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))
% 0.13/0.41  	-> [45] (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [45] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  	-> [46] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [47] cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [46] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [47] CLOSURE : cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [18] GAMMA_FORALL : ! [Y5_5] :  ((rr(i2003_11_14_17_20_32704, Y5_5) => (ce(Y5_5) | ~cd(Y5_5))))
% 0.13/0.41  	-> [32] (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  
% 0.13/0.41  [32] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => (ce(skolem_Y77) | ~cd(skolem_Y77)))
% 0.13/0.41  	-> [33] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [34] (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [33] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [34] BETA_OR : (ce(skolem_Y77) | ~cd(skolem_Y77))
% 0.13/0.41  	-> [37] ce(skolem_Y77)
% 0.13/0.41  	-> [38] ~cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [37] CLOSURE : ce(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [38] GAMMA_FORALL : ! [Y6_6] :  ((rr(i2003_11_14_17_20_32704, Y6_6) => cd(Y6_6)))
% 0.13/0.41  	-> [48] (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  
% 0.13/0.41  [48] BETA_IMPLY : (rr(i2003_11_14_17_20_32704, skolem_Y77) => cd(skolem_Y77))
% 0.13/0.41  	-> [49] ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  	-> [50] cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [49] CLOSURE : ~rr(i2003_11_14_17_20_32704, skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  [50] CLOSURE : cd(skolem_Y77)
% 0.13/0.41  
% 0.13/0.41  % SZS output end Proof for theBenchmark.p
% 0.13/0.41  [0.062722s][1][Res] 405 goroutines created
% 0.13/0.41  ==== Result ====
% 0.13/0.41  [0.062755s][1][Res] VALID
% 0.13/0.41  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------