TSTP Solution File: GRP141-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP141-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n007.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 : Wed Aug 31 16:20:34 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(subsumption_resolution,[],[f59,f39]) ).

fof(f39,plain,
    c = greatest_lower_bound(c,a),
    inference(superposition,[],[f11,f23]) ).

fof(f23,plain,
    a = least_upper_bound(c,a),
    inference(superposition,[],[f5,f16]) ).

fof(f16,axiom,
    a = least_upper_bound(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1d_1) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).

fof(f59,plain,
    c != greatest_lower_bound(c,a),
    inference(superposition,[],[f57,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f57,plain,
    c != greatest_lower_bound(a,c),
    inference(forward_demodulation,[],[f56,f40]) ).

fof(f40,plain,
    c = greatest_lower_bound(c,b),
    inference(superposition,[],[f11,f26]) ).

fof(f26,plain,
    b = least_upper_bound(c,b),
    inference(superposition,[],[f17,f5]) ).

fof(f17,axiom,
    b = least_upper_bound(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1d_2) ).

fof(f56,plain,
    c != greatest_lower_bound(a,greatest_lower_bound(c,b)),
    inference(forward_demodulation,[],[f50,f4]) ).

fof(f50,plain,
    c != greatest_lower_bound(a,greatest_lower_bound(b,c)),
    inference(superposition,[],[f18,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).

fof(f18,axiom,
    c != greatest_lower_bound(greatest_lower_bound(a,b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb1d) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP141-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.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   : Mon Aug 29 22:02:00 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.54  % (8110)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (8111)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55  % (8103)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.56  % (8103)First to succeed.
% 0.19/0.56  % (8109)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56  % (8109)Instruction limit reached!
% 0.19/0.56  % (8109)------------------------------
% 0.19/0.56  % (8109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (8109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (8109)Termination reason: Unknown
% 0.19/0.56  % (8109)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (8109)Memory used [KB]: 5373
% 0.19/0.56  % (8109)Time elapsed: 0.003 s
% 0.19/0.56  % (8109)Instructions burned: 2 (million)
% 0.19/0.56  % (8109)------------------------------
% 0.19/0.56  % (8109)------------------------------
% 0.19/0.56  % (8103)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (8103)------------------------------
% 0.19/0.56  % (8103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (8103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (8103)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (8103)Memory used [KB]: 895
% 0.19/0.56  % (8103)Time elapsed: 0.141 s
% 0.19/0.56  % (8103)Instructions burned: 4 (million)
% 0.19/0.56  % (8103)------------------------------
% 0.19/0.56  % (8103)------------------------------
% 0.19/0.56  % (8100)Success in time 0.21 s
%------------------------------------------------------------------------------