TSTP Solution File: KRS134+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n021.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 17:33:18 EDT 2022

% Result   : Theorem 0.13s 0.39s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.13/0.34  % Computer : n021.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 09:33:42 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  [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35  Start search
% 0.13/0.35  nb_step : 1 - limit : 7
% 0.13/0.35  Launch Gotab with destructive = true
% 0.13/0.39  % SZS output start Proof for theBenchmark.p
% 0.13/0.39  [0] ALPHA_AND : (! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2))) & ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))) & ! [X4_4, Y5_5] :  ((rprop(X4_4, Y5_5) => cA(Y5_5))) & ~((! [X6_6] :  ((cowlThing(X6_6) & ~cowlNothing(X6_6))) & ! [X7_7] :  ((xsd_string(X7_7) <=> ~xsd_integer(X7_7)))) & ! [X8_8] :  ((cowlThing(X8_8) => ! [Y9_9] :  ((rprop(X8_8, Y9_9) => cA(Y9_9)))))))
% 0.13/0.39  	-> [1] ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2))), ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))), ! [X4_4, Y5_5] :  ((rprop(X4_4, Y5_5) => cA(Y5_5))), ~((! [X6_6] :  ((cowlThing(X6_6) & ~cowlNothing(X6_6))) & ! [X7_7] :  ((xsd_string(X7_7) <=> ~xsd_integer(X7_7)))) & ! [X8_8] :  ((cowlThing(X8_8) => ! [Y9_9] :  ((rprop(X8_8, Y9_9) => cA(Y9_9))))))
% 0.13/0.39  
% 0.13/0.39  [1] BETA_NOT_AND : ~((! [X6_6] :  ((cowlThing(X6_6) & ~cowlNothing(X6_6))) & ! [X7_7] :  ((xsd_string(X7_7) <=> ~xsd_integer(X7_7)))) & ! [X8_8] :  ((cowlThing(X8_8) => ! [Y9_9] :  ((rprop(X8_8, Y9_9) => cA(Y9_9))))))
% 0.13/0.39  	-> [2] ~(! [X6_6] :  ((cowlThing(X6_6) & ~cowlNothing(X6_6))) & ! [X7_7] :  ((xsd_string(X7_7) <=> ~xsd_integer(X7_7))))
% 0.13/0.39  	-> [3] ~! [X8_8] :  ((cowlThing(X8_8) => ! [Y9_9] :  ((rprop(X8_8, Y9_9) => cA(Y9_9)))))
% 0.13/0.39  
% 0.13/0.39  [2] BETA_NOT_AND : ~(! [X6_6] :  ((cowlThing(X6_6) & ~cowlNothing(X6_6))) & ! [X7_7] :  ((xsd_string(X7_7) <=> ~xsd_integer(X7_7))))
% 0.13/0.39  	-> [6] ~! [X6_6] :  ((cowlThing(X6_6) & ~cowlNothing(X6_6)))
% 0.13/0.39  	-> [7] ~! [X7_7] :  ((xsd_string(X7_7) <=> ~xsd_integer(X7_7)))
% 0.13/0.39  
% 0.13/0.39  [6] DELTA_NOT_FORALL : ~! [X6_6] :  ((cowlThing(X6_6) & ~cowlNothing(X6_6)))
% 0.13/0.39  	-> [12] ~(cowlThing(skolem_X66) & ~cowlNothing(skolem_X66))
% 0.13/0.39  
% 0.13/0.39  [12] BETA_NOT_AND : ~(cowlThing(skolem_X66) & ~cowlNothing(skolem_X66))
% 0.13/0.39  	-> [14] ~cowlThing(skolem_X66)
% 0.13/0.39  	-> [15] ~~cowlNothing(skolem_X66)
% 0.13/0.39  
% 0.13/0.39  [14] GAMMA_FORALL : ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.13/0.39  	-> [20] (cowlThing(X2_1_0) & ~cowlNothing(X2_1_0))
% 0.13/0.39  
% 0.13/0.39  [20] ALPHA_AND : (cowlThing(X2_1_0) & ~cowlNothing(X2_1_0))
% 0.13/0.39  	-> [21] cowlThing(X2_1_0), ~cowlNothing(X2_1_0)
% 0.13/0.39  
% 0.13/0.39  [21] CLOSURE : cowlThing(X2_1_0)
% 0.13/0.39  
% 0.13/0.39  [15] ALPHA_NOT_NOT : ~~cowlNothing(skolem_X66)
% 0.13/0.39  	-> [18] cowlNothing(skolem_X66)
% 0.13/0.39  
% 0.13/0.39  [18] GAMMA_FORALL : ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.13/0.39  	-> [22] (cowlThing(X2_2_0) & ~cowlNothing(X2_2_0))
% 0.13/0.39  
% 0.13/0.39  [22] ALPHA_AND : (cowlThing(X2_2_0) & ~cowlNothing(X2_2_0))
% 0.13/0.39  	-> [23] cowlThing(X2_2_0), ~cowlNothing(X2_2_0)
% 0.13/0.39  
% 0.13/0.39  [23] CLOSURE : ~cowlNothing(X2_2_0)
% 0.13/0.39  
% 0.13/0.39  [7] DELTA_NOT_FORALL : ~! [X7_7] :  ((xsd_string(X7_7) <=> ~xsd_integer(X7_7)))
% 0.13/0.39  	-> [8] ~(xsd_string(skolem_X77) <=> ~xsd_integer(skolem_X77))
% 0.13/0.39  
% 0.13/0.39  [8] BETA_NOT_EQUIV : ~(xsd_string(skolem_X77) <=> ~xsd_integer(skolem_X77))
% 0.13/0.39  	-> [9] ~xsd_string(skolem_X77), ~xsd_integer(skolem_X77)
% 0.13/0.39  	-> [10] xsd_string(skolem_X77), ~~xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [9] GAMMA_FORALL : ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.13/0.39  	-> [17] (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 0.13/0.39  
% 0.13/0.39  [17] ALPHA_AND : (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 0.13/0.39  	-> [19] cowlThing(X2_0_0), ~cowlNothing(X2_0_0)
% 0.13/0.39  
% 0.13/0.39  [19] GAMMA_FORALL : ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 0.13/0.39  	-> [26] (xsd_string(skolem_X77) <=> ~xsd_integer(skolem_X77))
% 0.13/0.39  
% 0.13/0.39  [26] BETA_EQUIV : (xsd_string(skolem_X77) <=> ~xsd_integer(skolem_X77))
% 0.13/0.39  	-> [28] ~xsd_string(skolem_X77), ~~xsd_integer(skolem_X77)
% 0.13/0.39  	-> [29] xsd_string(skolem_X77), ~xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [29] CLOSURE : xsd_string(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [28] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X77)
% 0.13/0.39  	-> [31] xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [31] CLOSURE : xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [10] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X77)
% 0.13/0.39  	-> [16] xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [16] GAMMA_FORALL : ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.13/0.39  	-> [24] (cowlThing(X2_3_0) & ~cowlNothing(X2_3_0))
% 0.13/0.39  
% 0.13/0.39  [24] ALPHA_AND : (cowlThing(X2_3_0) & ~cowlNothing(X2_3_0))
% 0.13/0.39  	-> [25] cowlThing(X2_3_0), ~cowlNothing(X2_3_0)
% 0.13/0.39  
% 0.13/0.39  [25] GAMMA_FORALL : ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 0.13/0.39  	-> [32] (xsd_string(skolem_X77) <=> ~xsd_integer(skolem_X77))
% 0.13/0.39  
% 0.13/0.39  [32] BETA_EQUIV : (xsd_string(skolem_X77) <=> ~xsd_integer(skolem_X77))
% 0.13/0.39  	-> [33] ~xsd_string(skolem_X77), ~~xsd_integer(skolem_X77)
% 0.13/0.39  	-> [34] xsd_string(skolem_X77), ~xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [34] CLOSURE : ~xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [33] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X77)
% 0.13/0.39  	-> [38] xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [38] CLOSURE : ~~xsd_integer(skolem_X77)
% 0.13/0.39  
% 0.13/0.39  [3] DELTA_NOT_FORALL : ~! [X8_8] :  ((cowlThing(X8_8) => ! [Y9_9] :  ((rprop(X8_8, Y9_9) => cA(Y9_9)))))
% 0.13/0.39  	-> [4] ~(cowlThing(skolem_X88) => ! [Y9_9] :  ((rprop(skolem_X88, Y9_9) => cA(Y9_9))))
% 0.13/0.39  
% 0.13/0.39  [4] ALPHA_NOT_IMPLY : ~(cowlThing(skolem_X88) => ! [Y9_9] :  ((rprop(skolem_X88, Y9_9) => cA(Y9_9))))
% 0.13/0.39  	-> [5] cowlThing(skolem_X88), ~! [Y9_9] :  ((rprop(skolem_X88, Y9_9) => cA(Y9_9)))
% 0.13/0.39  
% 0.13/0.39  [5] DELTA_NOT_FORALL : ~! [Y9_9] :  ((rprop(skolem_X88, Y9_9) => cA(Y9_9)))
% 0.13/0.39  	-> [11] ~(rprop(skolem_X88, skolem_Y99) => cA(skolem_Y99))
% 0.13/0.39  
% 0.13/0.39  [11] ALPHA_NOT_IMPLY : ~(rprop(skolem_X88, skolem_Y99) => cA(skolem_Y99))
% 0.13/0.39  	-> [13] rprop(skolem_X88, skolem_Y99), ~cA(skolem_Y99)
% 0.13/0.39  
% 0.13/0.39  [13] GAMMA_FORALL : ! [X2_2] :  ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.13/0.39  	-> [27] (cowlThing(X2_4_0) & ~cowlNothing(X2_4_0))
% 0.13/0.39  
% 0.13/0.39  [27] ALPHA_AND : (cowlThing(X2_4_0) & ~cowlNothing(X2_4_0))
% 0.13/0.39  	-> [30] cowlThing(X2_4_0), ~cowlNothing(X2_4_0)
% 0.13/0.39  
% 0.13/0.39  [30] GAMMA_FORALL : ! [X3_3] :  ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 0.13/0.39  	-> [35] (xsd_string(X3_2_1) <=> ~xsd_integer(X3_2_1))
% 0.13/0.39  
% 0.13/0.39  [35] BETA_EQUIV : (xsd_string(X3_2_1) <=> ~xsd_integer(X3_2_1))
% 0.13/0.39  	-> [36] ~xsd_string(X3_2_1), ~~xsd_integer(X3_2_1)
% 0.13/0.39  	-> [37] xsd_string(X3_2_1), ~xsd_integer(X3_2_1)
% 0.13/0.39  
% 0.13/0.39  [37] GAMMA_FORALL : ! [X4_4, Y5_5] :  ((rprop(X4_4, Y5_5) => cA(Y5_5)))
% 0.13/0.39  	-> [40] (rprop(skolem_X88, skolem_Y99) => cA(skolem_Y99))
% 0.13/0.39  
% 0.13/0.39  [40] BETA_IMPLY : (rprop(skolem_X88, skolem_Y99) => cA(skolem_Y99))
% 0.13/0.39  	-> [41] ~rprop(skolem_X88, skolem_Y99)
% 0.13/0.39  	-> [42] cA(skolem_Y99)
% 0.13/0.39  
% 0.13/0.39  [41] CLOSURE : ~rprop(skolem_X88, skolem_Y99)
% 0.13/0.39  
% 0.13/0.39  [42] CLOSURE : cA(skolem_Y99)
% 0.13/0.39  
% 0.13/0.39  [36] ALPHA_NOT_NOT : ~~xsd_integer(X3_2_1)
% 0.13/0.39  	-> [39] xsd_integer(X3_2_1)
% 0.13/0.39  
% 0.13/0.39  [39] GAMMA_FORALL : ! [X4_4, Y5_5] :  ((rprop(X4_4, Y5_5) => cA(Y5_5)))
% 0.13/0.39  	-> [43] (rprop(skolem_X88, skolem_Y99) => cA(skolem_Y99))
% 0.13/0.39  
% 0.13/0.39  [43] BETA_IMPLY : (rprop(skolem_X88, skolem_Y99) => cA(skolem_Y99))
% 0.13/0.39  	-> [44] ~rprop(skolem_X88, skolem_Y99)
% 0.13/0.39  	-> [45] cA(skolem_Y99)
% 0.13/0.39  
% 0.13/0.39  [44] CLOSURE : ~rprop(skolem_X88, skolem_Y99)
% 0.13/0.39  
% 0.13/0.39  [45] CLOSURE : cA(skolem_Y99)
% 0.13/0.39  
% 0.13/0.39  % SZS output end Proof for theBenchmark.p
% 0.13/0.39  [0.037823s][1][Res] 187 goroutines created
% 0.13/0.39  ==== Result ====
% 0.13/0.39  [0.037857s][1][Res] VALID
% 0.13/0.39  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------