TSTP Solution File: FLD021-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD021-1 : 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 : n004.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 16:06:40 EDT 2022

% Result   : Unsatisfiable 2.26s 0.66s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   28 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f198,plain,
    $false,
    inference(subsumption_resolution,[],[f197,f33]) ).

fof(f33,plain,
    ~ equalish(sF0,a),
    inference(definition_folding,[],[f31,f32]) ).

fof(f32,plain,
    add(m,a) = sF0,
    introduced(function_definition,[]) ).

fof(f31,axiom,
    ~ equalish(add(m,a),a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_a_4) ).

fof(f197,plain,
    equalish(sF0,a),
    inference(subsumption_resolution,[],[f196,f30]) ).

fof(f30,axiom,
    equalish(m,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_equals_additive_identity_3) ).

fof(f196,plain,
    ( ~ equalish(m,additive_identity)
    | equalish(sF0,a) ),
    inference(subsumption_resolution,[],[f192,f28]) ).

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

fof(f192,plain,
    ( ~ defined(a)
    | ~ equalish(m,additive_identity)
    | equalish(sF0,a) ),
    inference(resolution,[],[f49,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( equalish(sF0,add(X0,a))
      | ~ equalish(m,X0) ),
    inference(subsumption_resolution,[],[f106,f28]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ defined(a)
      | ~ equalish(m,X0)
      | equalish(sF0,add(X0,a)) ),
    inference(superposition,[],[f24,f32]) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( equalish(add(X0,X2),add(X1,X2))
      | ~ equalish(X0,X1)
      | ~ defined(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).

fof(f49,plain,
    ! [X6,X7] :
      ( ~ equalish(X6,add(additive_identity,X7))
      | equalish(X6,X7)
      | ~ defined(X7) ),
    inference(resolution,[],[f23,f2]) ).

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

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X1,X2)
      | equalish(X0,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : FLD021-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:33:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  % (19128)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)
% 0.20/0.57  % (19138)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.58  % (19155)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.58  % (19146)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.58  % (19141)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.59  % (19133)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.59  % (19126)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)
% 0.20/0.60  % (19136)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60  % (19137)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.60  % (19129)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (19133)Instruction limit reached!
% 0.20/0.60  % (19133)------------------------------
% 0.20/0.60  % (19133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (19133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (19133)Termination reason: Unknown
% 0.20/0.60  % (19133)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (19133)Memory used [KB]: 5500
% 0.20/0.60  % (19133)Time elapsed: 0.110 s
% 0.20/0.60  % (19133)Instructions burned: 7 (million)
% 0.20/0.60  % (19133)------------------------------
% 0.20/0.60  % (19133)------------------------------
% 0.20/0.61  % (19135)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)
% 0.20/0.61  % (19140)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.61  % (19130)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62  TRYING [1]
% 0.20/0.62  % (19131)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)
% 0.20/0.62  TRYING [2]
% 0.20/0.62  % (19132)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62  TRYING [3]
% 0.20/0.62  TRYING [1]
% 0.20/0.62  % (19148)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.63  % (19149)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.09/0.63  % (19150)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.09/0.63  % (19153)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.09/0.63  % (19154)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.09/0.63  % (19127)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)
% 2.09/0.63  % (19142)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.09/0.64  % (19144)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.09/0.64  % (19127)Refutation not found, incomplete strategy% (19127)------------------------------
% 2.09/0.64  % (19127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (19127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (19127)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.64  
% 2.09/0.64  % (19127)Memory used [KB]: 5373
% 2.09/0.64  % (19127)Time elapsed: 0.214 s
% 2.09/0.64  % (19127)Instructions burned: 2 (million)
% 2.09/0.64  % (19127)------------------------------
% 2.09/0.64  % (19127)------------------------------
% 2.09/0.64  % (19152)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.09/0.64  TRYING [2]
% 2.09/0.64  % (19134)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.09/0.64  TRYING [3]
% 2.09/0.65  % (19143)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.09/0.65  % (19128)Instruction limit reached!
% 2.09/0.65  % (19128)------------------------------
% 2.09/0.65  % (19128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (19128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (19128)Termination reason: Unknown
% 2.09/0.65  % (19128)Termination phase: Saturation
% 2.09/0.65  
% 2.09/0.65  % (19128)Memory used [KB]: 1279
% 2.09/0.65  % (19128)Time elapsed: 0.154 s
% 2.09/0.65  % (19128)Instructions burned: 37 (million)
% 2.09/0.65  % (19128)------------------------------
% 2.09/0.65  % (19128)------------------------------
% 2.26/0.65  % (19147)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.26/0.65  TRYING [1]
% 2.26/0.65  TRYING [2]
% 2.26/0.65  % (19150)First to succeed.
% 2.26/0.66  % (19150)Refutation found. Thanks to Tanya!
% 2.26/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.26/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.66  % (19150)------------------------------
% 2.26/0.66  % (19150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66  % (19150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66  % (19150)Termination reason: Refutation
% 2.26/0.66  
% 2.26/0.66  % (19150)Memory used [KB]: 5500
% 2.26/0.66  % (19150)Time elapsed: 0.211 s
% 2.26/0.66  % (19150)Instructions burned: 8 (million)
% 2.26/0.66  % (19150)------------------------------
% 2.26/0.66  % (19150)------------------------------
% 2.26/0.66  % (19125)Success in time 0.295 s
%------------------------------------------------------------------------------