TSTP Solution File: KRS105+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : KRS105+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n025.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 17:33:13 EDT 2022

% Result   : Unsatisfiable 1.09s 0.58s
% Output   : Proof 1.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS105+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.13/0.34  % Computer : n025.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 09:43:01 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.35  [DMT] DMT loaded with preskolemization
% 0.20/0.35  [EQ] equality loaded.
% 0.20/0.35  [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.20/0.35  Conjecture not found
% 0.20/0.35  Start search
% 0.20/0.35  nb_step : 1 - limit : 13
% 0.20/0.35  Launch Gotab with destructive = true
% 1.09/0.58  % SZS output start Proof for theBenchmark.p
% 1.09/0.58  [0] ALPHA_AND : (! [X3_3] :  ((cowlThing(X3_3) & ~cowlNothing(X3_3))) & ! [X4_4] :  ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))) & ! [X5_5] :  ((cUnsatisfiable(X5_5) => cdxcomp(X5_5))) & ! [X6_6] :  ((cUnsatisfiable(X6_6) => cc(X6_6))) & ! [X7_7] :  ((cc(X7_7) => ! [Y8_8] :  ((rr(X7_7, Y8_8) => cc(Y8_8))))) & ! [X15_15] :  ((ca_Ax2(X15_15) => cd(X15_15))) & cUnsatisfiable(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [1] ! [X3_3] :  ((cowlThing(X3_3) & ~cowlNothing(X3_3))), ! [X4_4] :  ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))), ! [X5_5] :  ((cUnsatisfiable(X5_5) => cdxcomp(X5_5))), ! [X6_6] :  ((cUnsatisfiable(X6_6) => cc(X6_6))), ! [X7_7] :  ((cc(X7_7) => ! [Y8_8] :  ((rr(X7_7, Y8_8) => cc(Y8_8))))), ! [X15_15] :  ((ca_Ax2(X15_15) => cd(X15_15))), cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [1] GAMMA_FORALL : ! [X3_3] :  ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.09/0.58  	-> [2] (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.09/0.58  
% 1.09/0.58  [2] ALPHA_AND : (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.09/0.58  	-> [3] cowlThing(X3_0_0), ~cowlNothing(X3_0_0)
% 1.09/0.58  
% 1.09/0.58  [3] GAMMA_FORALL : ! [X4_4] :  ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.09/0.58  	-> [4] (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 1.09/0.58  
% 1.09/0.58  [4] BETA_EQUIV : (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 1.09/0.58  	-> [5] ~xsd_string(X4_0_1), ~~xsd_integer(X4_0_1)
% 1.09/0.58  	-> [6] xsd_string(X4_0_1), ~xsd_integer(X4_0_1)
% 1.09/0.58  
% 1.09/0.58  [5] ALPHA_NOT_NOT : ~~xsd_integer(X4_0_1)
% 1.09/0.58  	-> [7] xsd_integer(X4_0_1)
% 1.09/0.58  
% 1.09/0.58  [7] GAMMA_FORALL : ! [X5_5] :  ((cUnsatisfiable(X5_5) => cdxcomp(X5_5)))
% 1.09/0.58  	-> [11] (cUnsatisfiable(i2003_11_14_17_20_53634) => cdxcomp(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [11] BETA_IMPLY : (cUnsatisfiable(i2003_11_14_17_20_53634) => cdxcomp(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [12] ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [13] cdxcomp(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [12] CLOSURE : ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [13] Rewrite : cdxcomp(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [15] ra_Px1(i2003_11_14_17_20_53634, skolem_Y01212(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [15] GAMMA_FORALL : ! [X6_6] :  ((cUnsatisfiable(X6_6) => cc(X6_6)))
% 1.09/0.58  	-> [19] (cUnsatisfiable(i2003_11_14_17_20_53634) => cc(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [19] BETA_IMPLY : (cUnsatisfiable(i2003_11_14_17_20_53634) => cc(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [20] ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [21] cc(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [20] CLOSURE : ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [25] BETA_IMPLY : (cc(i2003_11_14_17_20_53634) => ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8))))
% 1.09/0.58  	-> [52] ~cc(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [53] ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8)))
% 1.09/0.58  
% 1.09/0.58  [52] CLOSURE : ~cc(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [54] BETA_IMPLY : (ca_Ax2(i2003_11_14_17_20_53634) => cd(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [106] ~ca_Ax2(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [107] cd(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [106] Rewrite : ~ca_Ax2(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [109] ~(rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)) => cc(skolem_Y1414(i2003_11_14_17_20_53634)))
% 1.09/0.58  
% 1.09/0.58  [109] ALPHA_NOT_IMPLY : ~(rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)) => cc(skolem_Y1414(i2003_11_14_17_20_53634)))
% 1.09/0.58  	-> [111] rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)), ~cc(skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [111] GAMMA_FORALL : ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8)))
% 1.09/0.58  	-> [116] (rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)) => cc(skolem_Y1414(i2003_11_14_17_20_53634)))
% 1.09/0.58  
% 1.09/0.58  [116] BETA_IMPLY : (rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)) => cc(skolem_Y1414(i2003_11_14_17_20_53634)))
% 1.09/0.58  	-> [117] ~rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [118] cc(skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [118] CLOSURE : cc(skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [117] CLOSURE : ~rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [107] GAMMA_FORALL : ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8)))
% 1.09/0.58  	-> [123] (rr(i2003_11_14_17_20_53634, Y8_13_6) => cc(Y8_13_6))
% 1.09/0.58  
% 1.09/0.58  [123] BETA_IMPLY : (rr(i2003_11_14_17_20_53634, Y8_13_6) => cc(Y8_13_6))
% 1.09/0.58  	-> [124] ~rr(i2003_11_14_17_20_53634, Y8_13_6)
% 1.09/0.58  	-> [125] cc(Y8_13_6)
% 1.09/0.58  
% 1.09/0.58  [124] GAMMA_NOT_EXISTS : ~? [Y10_10] :  (ra_Px1(i2003_11_14_17_20_53634, Y10_10))
% 1.09/0.58  	-> [127] ~ra_Px1(i2003_11_14_17_20_53634, Y10_15_7)
% 1.09/0.58  
% 1.09/0.58  [127] CLOSURE : ~ra_Px1(i2003_11_14_17_20_53634, Y10_15_7)
% 1.09/0.58  
% 1.09/0.58  [125] GAMMA_NOT_EXISTS : ~? [Y10_10] :  (ra_Px1(i2003_11_14_17_20_53634, Y10_10))
% 1.09/0.58  	-> [126] ~ra_Px1(i2003_11_14_17_20_53634, Y10_14_7)
% 1.09/0.58  
% 1.09/0.58  [126] CLOSURE : ~ra_Px1(i2003_11_14_17_20_53634, Y10_14_7)
% 1.09/0.58  
% 1.09/0.58  [6] GAMMA_FORALL : ! [X5_5] :  ((cUnsatisfiable(X5_5) => cdxcomp(X5_5)))
% 1.09/0.58  	-> [8] (cUnsatisfiable(i2003_11_14_17_20_53634) => cdxcomp(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [8] BETA_IMPLY : (cUnsatisfiable(i2003_11_14_17_20_53634) => cdxcomp(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [9] ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [10] cdxcomp(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [9] CLOSURE : ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [10] Rewrite : cdxcomp(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [14] ra_Px1(i2003_11_14_17_20_53634, skolem_Y01212(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [14] GAMMA_FORALL : ! [X6_6] :  ((cUnsatisfiable(X6_6) => cc(X6_6)))
% 1.09/0.58  	-> [16] (cUnsatisfiable(i2003_11_14_17_20_53634) => cc(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [16] BETA_IMPLY : (cUnsatisfiable(i2003_11_14_17_20_53634) => cc(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [17] ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [18] cc(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [17] CLOSURE : ~cUnsatisfiable(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [22] BETA_IMPLY : (cc(i2003_11_14_17_20_53634) => ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8))))
% 1.09/0.58  	-> [55] ~cc(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [56] ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8)))
% 1.09/0.58  
% 1.09/0.58  [55] CLOSURE : ~cc(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [59] BETA_IMPLY : (ca_Ax2(i2003_11_14_17_20_53634) => cd(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [93] ~ca_Ax2(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [94] cd(i2003_11_14_17_20_53634)
% 1.09/0.58  
% 1.09/0.58  [94] Rewrite : cd(i2003_11_14_17_20_53634)
% 1.09/0.58  	-> [95] ~? [Y10_10] :  (ra_Px1(i2003_11_14_17_20_53634, Y10_10))
% 1.09/0.58  
% 1.09/0.58  [95] GAMMA_FORALL : ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8)))
% 1.09/0.58  	-> [97] (rr(i2003_11_14_17_20_53634, Y8_8_6) => cc(Y8_8_6))
% 1.09/0.58  
% 1.09/0.58  [97] BETA_IMPLY : (rr(i2003_11_14_17_20_53634, Y8_8_6) => cc(Y8_8_6))
% 1.09/0.58  	-> [99] ~rr(i2003_11_14_17_20_53634, Y8_8_6)
% 1.09/0.58  	-> [100] cc(Y8_8_6)
% 1.09/0.58  
% 1.09/0.58  [99] GAMMA_NOT_EXISTS : ~? [Y10_10] :  (ra_Px1(i2003_11_14_17_20_53634, Y10_10))
% 1.09/0.58  	-> [102] ~ra_Px1(i2003_11_14_17_20_53634, Y10_11_7)
% 1.09/0.58  
% 1.09/0.58  [102] CLOSURE : ~ra_Px1(i2003_11_14_17_20_53634, Y10_11_7)
% 1.09/0.58  
% 1.09/0.58  [100] GAMMA_NOT_EXISTS : ~? [Y10_10] :  (ra_Px1(i2003_11_14_17_20_53634, Y10_10))
% 1.09/0.58  	-> [101] ~ra_Px1(i2003_11_14_17_20_53634, Y10_10_7)
% 1.09/0.58  
% 1.09/0.58  [101] CLOSURE : ~ra_Px1(i2003_11_14_17_20_53634, Y10_10_7)
% 1.09/0.58  
% 1.09/0.58  [93] ALPHA_NOT_IMPLY : ~(rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)) => cc(skolem_Y1414(i2003_11_14_17_20_53634)))
% 1.09/0.58  	-> [119] rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)), ~cc(skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [119] GAMMA_FORALL : ! [Y8_8] :  ((rr(i2003_11_14_17_20_53634, Y8_8) => cc(Y8_8)))
% 1.09/0.58  	-> [120] (rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)) => cc(skolem_Y1414(i2003_11_14_17_20_53634)))
% 1.09/0.58  
% 1.09/0.58  [120] BETA_IMPLY : (rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634)) => cc(skolem_Y1414(i2003_11_14_17_20_53634)))
% 1.09/0.58  	-> [121] ~rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  	-> [122] cc(skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [122] CLOSURE : cc(skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  [121] CLOSURE : ~rr(i2003_11_14_17_20_53634, skolem_Y1414(i2003_11_14_17_20_53634))
% 1.09/0.58  
% 1.09/0.58  % SZS output end Proof for theBenchmark.p
% 1.09/0.58  [0.234023s][1][Res] 1740 goroutines created
% 1.09/0.58  ==== Result ====
% 1.09/0.58  [0.234056s][1][Res] VALID
% 1.09/0.58  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------