TSTP Solution File: FLD059-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD059-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n008.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 16:06:56 EDT 2022

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  16   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f198,plain,
    $false,
    inference(subsumption_resolution,[],[f197,f37]) ).

fof(f37,plain,
    ~ less_or_equal(additive_identity,a),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f29,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_2) ).

fof(f197,plain,
    less_or_equal(additive_identity,a),
    inference(subsumption_resolution,[],[f194,f28]) ).

fof(f28,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f194,plain,
    ( ~ defined(a)
    | less_or_equal(additive_identity,a) ),
    inference(resolution,[],[f169,f34]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(add(X0,X2),add(X1,X2))
      | ~ defined(X2)
      | less_or_equal(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X0,X1)
      | less_or_equal(add(X0,X2),add(X1,X2))
      | ~ defined(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

fof(f169,plain,
    less_or_equal(add(additive_identity,a),add(a,a)),
    inference(subsumption_resolution,[],[f168,f37]) ).

fof(f168,plain,
    ( less_or_equal(add(additive_identity,a),add(a,a))
    | less_or_equal(additive_identity,a) ),
    inference(resolution,[],[f43,f50]) ).

fof(f50,plain,
    ! [X2,X1] :
      ( ~ equalish(X1,X2)
      | less_or_equal(additive_identity,X2)
      | less_or_equal(X1,add(a,a)) ),
    inference(resolution,[],[f35,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( less_or_equal(X0,add(a,a))
      | less_or_equal(additive_identity,X0) ),
    inference(resolution,[],[f33,f31]) ).

fof(f31,plain,
    less_or_equal(additive_identity,add(a,a)),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f30,axiom,
    ~ less_or_equal(additive_identity,add(a,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_3) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X0,X2)
      | less_or_equal(X1,X2)
      | less_or_equal(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X1,X2)
      | less_or_equal(X0,X2)
      | ~ less_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X1,X2)
      | ~ equalish(X0,X1)
      | less_or_equal(X0,X2) ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f26,axiom,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X0,X2)
      | ~ equalish(X0,X1)
      | less_or_equal(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).

fof(f43,plain,
    equalish(add(additive_identity,a),a),
    inference(resolution,[],[f2,f28]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | equalish(add(additive_identity,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : FLD059-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32  % Computer : n008.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon Aug 29 20:46:10 EDT 2022
% 0.13/0.32  % CPUTime    : 
% 0.17/0.48  % (28995)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.48  % (29013)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.48  % (28995)Refutation not found, incomplete strategy% (28995)------------------------------
% 0.17/0.48  % (28995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (29002)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49  % (28995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (28995)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.49  
% 0.17/0.49  % (28995)Memory used [KB]: 5373
% 0.17/0.49  % (28995)Time elapsed: 0.095 s
% 0.17/0.49  % (28995)Instructions burned: 1 (million)
% 0.17/0.49  % (28995)------------------------------
% 0.17/0.49  % (28995)------------------------------
% 0.17/0.49  % (28994)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.49  % (28998)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49  % (28999)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.49  % (29002)Instruction limit reached!
% 0.17/0.49  % (29002)------------------------------
% 0.17/0.49  % (29002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (29002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (29002)Termination reason: Unknown
% 0.17/0.49  % (29002)Termination phase: Saturation
% 0.17/0.49  
% 0.17/0.49  % (29002)Memory used [KB]: 895
% 0.17/0.49  % (29002)Time elapsed: 0.003 s
% 0.17/0.49  % (29002)Instructions burned: 3 (million)
% 0.17/0.49  % (29002)------------------------------
% 0.17/0.49  % (29002)------------------------------
% 0.17/0.49  % (29013)First to succeed.
% 0.17/0.50  % (29013)Refutation found. Thanks to Tanya!
% 0.17/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50  % (29013)------------------------------
% 0.17/0.50  % (29013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (29013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (29013)Termination reason: Refutation
% 0.17/0.50  
% 0.17/0.50  % (29013)Memory used [KB]: 1023
% 0.17/0.50  % (29013)Time elapsed: 0.115 s
% 0.17/0.50  % (29013)Instructions burned: 12 (million)
% 0.17/0.50  % (29013)------------------------------
% 0.17/0.50  % (29013)------------------------------
% 0.17/0.50  % (28993)Success in time 0.167 s
%------------------------------------------------------------------------------