TSTP Solution File: SYN613-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n026.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 19:39:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   29 (  22 unt;   0 def)
%            Number of atoms       :   43 (   6 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   31 (  17   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f429,plain,
    $false,
    inference(subsumption_resolution,[],[f427,f76]) ).

fof(f76,plain,
    p11(c24,c23),
    inference(resolution,[],[f65,f60]) ).

fof(f60,plain,
    p11(sF6,c24),
    inference(resolution,[],[f51,f46]) ).

fof(f46,plain,
    p11(c24,sF6),
    inference(definition_folding,[],[f8,f39,f33]) ).

fof(f33,plain,
    f9(c21) = sF1,
    introduced(function_definition,[]) ).

fof(f39,plain,
    f12(sF1) = sF6,
    introduced(function_definition,[]) ).

fof(f8,axiom,
    p11(c24,f12(f9(c21))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ p11(X0,X1)
      | p11(X1,X0) ),
    inference(resolution,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0] : p11(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).

fof(f15,axiom,
    ! [X0,X18,X19] :
      ( ~ p11(X0,X19)
      | ~ p11(X0,X18)
      | p11(X18,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).

fof(f65,plain,
    ! [X0] :
      ( ~ p11(sF6,X0)
      | p11(X0,c23) ),
    inference(resolution,[],[f58,f15]) ).

fof(f58,plain,
    p11(sF6,c23),
    inference(resolution,[],[f51,f45]) ).

fof(f45,plain,
    p11(c23,sF6),
    inference(definition_folding,[],[f7,f39,f33]) ).

fof(f7,axiom,
    p11(c23,f12(f9(c21))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).

fof(f427,plain,
    ~ p11(c24,c23),
    inference(resolution,[],[f426,f47]) ).

fof(f47,plain,
    ~ p17(c19,sF4,c23),
    inference(definition_folding,[],[f22,f36,f35,f34,f33,f32]) ).

fof(f32,plain,
    f10(c20) = sF0,
    introduced(function_definition,[]) ).

fof(f34,plain,
    f8(sF1,c22) = sF2,
    introduced(function_definition,[]) ).

fof(f35,plain,
    sF3 = f7(sF0,sF2),
    introduced(function_definition,[]) ).

fof(f36,plain,
    f4(sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f22,axiom,
    ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_22) ).

fof(f426,plain,
    ! [X0] :
      ( p17(c19,sF4,X0)
      | ~ p11(c24,X0) ),
    inference(resolution,[],[f269,f4]) ).

fof(f4,axiom,
    ! [X3] : p3(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ~ p3(sF4,X0)
      | p17(c19,X0,X1)
      | ~ p11(c24,X1) ),
    inference(resolution,[],[f109,f37]) ).

fof(f37,plain,
    p17(c19,sF4,c24),
    inference(definition_folding,[],[f21,f36,f35,f34,f33,f32]) ).

fof(f21,axiom,
    p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_21) ).

fof(f109,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p17(X2,X0,X3)
      | p17(X2,X1,X4)
      | ~ p3(X0,X1)
      | ~ p11(X3,X4) ),
    inference(resolution,[],[f29,f6]) ).

fof(f6,axiom,
    ! [X5] : p16(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_6) ).

fof(f29,axiom,
    ! [X50,X51,X48,X49,X52,X53] :
      ( ~ p16(X52,X48)
      | ~ p3(X51,X49)
      | ~ p17(X52,X51,X53)
      | ~ p11(X53,X50)
      | p17(X48,X49,X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:25:21 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (23519)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)
% 0.19/0.48  % (23503)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)
% 0.19/0.49  % (23514)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)
% 0.19/0.49  % (23506)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)
% 0.19/0.50  % (23511)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)
% 0.19/0.50  % (23498)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  % (23504)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  % (23493)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)
% 0.19/0.51  % (23494)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)
% 0.19/0.51  % (23512)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)
% 0.19/0.51  % (23493)Refutation not found, incomplete strategy% (23493)------------------------------
% 0.19/0.51  % (23493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23493)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (23493)Memory used [KB]: 5373
% 0.19/0.51  % (23493)Time elapsed: 0.123 s
% 0.19/0.51  % (23493)Instructions burned: 2 (million)
% 0.19/0.51  % (23493)------------------------------
% 0.19/0.51  % (23493)------------------------------
% 0.19/0.52  % (23518)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  % (23496)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (23492)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)
% 0.19/0.52  % (23495)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  % (23497)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (23505)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  % (23517)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  TRYING [4]
% 0.19/0.52  % (23507)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)
% 0.19/0.53  % (23519)First to succeed.
% 0.19/0.53  % (23510)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (23509)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (23520)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (23499)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  % (23521)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)
% 0.19/0.53  % (23519)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  % (23519)------------------------------
% 0.19/0.53  % (23519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23519)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (23519)Memory used [KB]: 1151
% 0.19/0.53  % (23519)Time elapsed: 0.123 s
% 0.19/0.53  % (23519)Instructions burned: 20 (million)
% 0.19/0.53  % (23519)------------------------------
% 0.19/0.53  % (23519)------------------------------
% 0.19/0.53  % (23490)Success in time 0.192 s
%------------------------------------------------------------------------------