TSTP Solution File: FLD023-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD023-1 : 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 : n001.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 16:06:41 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  15   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f266,plain,
    $false,
    inference(subsumption_resolution,[],[f265,f38]) ).

fof(f38,plain,
    ~ defined(a),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f28,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f265,plain,
    defined(a),
    inference(resolution,[],[f241,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ defined(additive_inverse(X0))
      | defined(X0) ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( defined(additive_inverse(X0))
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).

fof(f241,plain,
    defined(additive_inverse(a)),
    inference(subsumption_resolution,[],[f240,f59]) ).

fof(f59,plain,
    ~ equalish(a,b),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f30,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_3) ).

fof(f240,plain,
    ( equalish(a,b)
    | defined(additive_inverse(a)) ),
    inference(resolution,[],[f238,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | equalish(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ equalish(X1,X0)
      | equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).

fof(f238,plain,
    ( equalish(b,a)
    | defined(additive_inverse(a)) ),
    inference(subsumption_resolution,[],[f235,f38]) ).

fof(f235,plain,
    ( equalish(b,a)
    | defined(a)
    | defined(additive_inverse(a)) ),
    inference(resolution,[],[f78,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ equalish(add(X0,additive_inverse(X0)),additive_identity)
      | defined(X0) ),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | equalish(add(X0,additive_inverse(X0)),additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

fof(f78,plain,
    ! [X0] :
      ( equalish(add(X0,additive_inverse(a)),additive_identity)
      | equalish(b,X0)
      | defined(additive_inverse(a)) ),
    inference(resolution,[],[f42,f66]) ).

fof(f66,plain,
    ! [X2] :
      ( equalish(add(b,additive_inverse(a)),X2)
      | equalish(X2,additive_identity) ),
    inference(resolution,[],[f39,f61]) ).

fof(f61,plain,
    equalish(add(b,additive_inverse(a)),additive_identity),
    inference(resolution,[],[f52,f35]) ).

fof(f35,plain,
    equalish(additive_identity,add(b,additive_inverse(a))),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f31,axiom,
    ~ equalish(additive_identity,add(b,additive_inverse(a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity_not_equal_to_add_4) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X2)
      | equalish(X0,X1)
      | equalish(X1,X2) ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X1,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ equalish(add(X0,X2),add(X1,X2))
      | equalish(X0,X1)
      | defined(X2) ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( ~ defined(X2)
      | ~ equalish(X0,X1)
      | equalish(add(X0,X2),add(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : FLD023-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % 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 : n001.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 20:56:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (32482)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)
% 0.19/0.50  % (32473)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)
% 0.19/0.50  % (32460)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (32462)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)
% 0.19/0.50  % (32456)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)
% 0.19/0.50  % (32458)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)
% 0.19/0.50  % (32461)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)
% 0.19/0.51  % (32478)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)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (32484)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (32468)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)
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  % (32476)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (32483)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (32480)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (32459)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)
% 0.19/0.52  % (32487)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (32470)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (32457)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)
% 0.19/0.52  % (32457)Refutation not found, incomplete strategy% (32457)------------------------------
% 0.19/0.52  % (32457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (32457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (32457)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (32457)Memory used [KB]: 5373
% 0.19/0.52  % (32457)Time elapsed: 0.125 s
% 0.19/0.52  % (32457)Instructions burned: 1 (million)
% 0.19/0.52  % (32457)------------------------------
% 0.19/0.52  % (32457)------------------------------
% 0.19/0.52  % (32465)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)
% 0.19/0.52  % (32486)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)
% 0.19/0.52  % (32471)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)
% 0.19/0.52  % (32488)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52  % (32481)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)
% 0.19/0.53  % (32474)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)
% 0.19/0.53  % (32479)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)
% 0.19/0.53  % (32463)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (32478)First to succeed.
% 0.19/0.53  % (32485)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)
% 0.19/0.53  % (32464)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (32464)Instruction limit reached!
% 0.19/0.53  % (32464)------------------------------
% 0.19/0.53  % (32464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (32464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (32464)Termination reason: Unknown
% 0.19/0.53  % (32464)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (32464)Memory used [KB]: 5373
% 0.19/0.53  % (32464)Time elapsed: 0.002 s
% 0.19/0.53  % (32464)Instructions burned: 3 (million)
% 0.19/0.53  % (32464)------------------------------
% 0.19/0.53  % (32464)------------------------------
% 0.19/0.53  % (32478)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (32478)------------------------------
% 0.19/0.53  % (32478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (32478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (32478)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (32478)Memory used [KB]: 1023
% 0.19/0.53  % (32478)Time elapsed: 0.147 s
% 0.19/0.53  % (32478)Instructions burned: 12 (million)
% 0.19/0.53  % (32478)------------------------------
% 0.19/0.53  % (32478)------------------------------
% 0.19/0.53  % (32450)Success in time 0.186 s
%------------------------------------------------------------------------------