TSTP Solution File: SYN667-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN667-1 : 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 : 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 19:39:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   27 (  20 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f399,plain,
    $false,
    inference(subsumption_resolution,[],[f396,f280]) ).

fof(f280,plain,
    p2(sF3,sF6),
    inference(resolution,[],[f277,f118]) ).

fof(f118,plain,
    ! [X11] :
      ( ~ p2(sF1,X11)
      | p2(X11,sF6) ),
    inference(resolution,[],[f30,f62]) ).

fof(f62,plain,
    p2(sF1,sF6),
    inference(definition_folding,[],[f39,f61,f60,f59,f58,f57,f56,f55]) ).

fof(f55,plain,
    f4(c32) = sF0,
    introduced(function_definition,[]) ).

fof(f56,plain,
    sF1 = f11(sF0,c34),
    introduced(function_definition,[]) ).

fof(f57,plain,
    f4(c36) = sF2,
    introduced(function_definition,[]) ).

fof(f58,plain,
    sF3 = f11(sF2,c34),
    introduced(function_definition,[]) ).

fof(f59,plain,
    f17(c31) = sF4,
    introduced(function_definition,[]) ).

fof(f60,plain,
    sF5 = f9(sF4),
    introduced(function_definition,[]) ).

fof(f61,plain,
    sF6 = f18(sF3,sF5),
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_39) ).

fof(f30,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X34)
      | ~ p2(X5,X33)
      | p2(X33,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_30) ).

fof(f277,plain,
    p2(sF1,sF3),
    inference(resolution,[],[f275,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f30,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

fof(f275,plain,
    p2(sF3,sF1),
    inference(forward_demodulation,[],[f274,f58]) ).

fof(f274,plain,
    p2(f11(sF2,c34),sF1),
    inference(subsumption_resolution,[],[f273,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).

fof(f273,plain,
    ( p2(f11(sF2,c34),sF1)
    | ~ p25(c32,c36) ),
    inference(subsumption_resolution,[],[f261,f12]) ).

fof(f12,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).

fof(f261,plain,
    ( p2(f11(sF2,c34),sF1)
    | ~ p25(c36,c33)
    | ~ p25(c32,c36) ),
    inference(superposition,[],[f81,f57]) ).

fof(f81,plain,
    ! [X81] :
      ( p2(f11(f4(X81),c34),sF1)
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    inference(definition_folding,[],[f49,f56,f55]) ).

fof(f49,axiom,
    ! [X81] :
      ( p2(f11(f4(X81),c34),f11(f4(c32),c34))
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_49) ).

fof(f396,plain,
    ~ p2(sF3,sF6),
    inference(superposition,[],[f80,f61]) ).

fof(f80,plain,
    ! [X10] : ~ p2(X10,f18(X10,sF5)),
    inference(definition_folding,[],[f18,f60,f59]) ).

fof(f18,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN667-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % 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 : n004.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 22:11:34 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (12939)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (12955)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)
% 0.18/0.49  % (12939)Instruction limit reached!
% 0.18/0.49  % (12939)------------------------------
% 0.18/0.49  % (12939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (12936)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (12947)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)
% 0.18/0.50  % (12939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (12939)Termination reason: Unknown
% 0.18/0.50  % (12939)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (12939)Memory used [KB]: 5500
% 0.18/0.50  % (12939)Time elapsed: 0.108 s
% 0.18/0.50  % (12939)Instructions burned: 8 (million)
% 0.18/0.50  % (12939)------------------------------
% 0.18/0.50  % (12939)------------------------------
% 0.18/0.50  % (12946)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)
% 0.18/0.50  % (12954)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)
% 0.18/0.51  % (12938)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)
% 0.18/0.51  % (12957)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (12960)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (12958)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)
% 0.18/0.52  % (12945)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (12932)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)
% 0.18/0.52  % (12935)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)
% 0.18/0.52  % (12937)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)
% 0.18/0.52  % (12956)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (12934)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)
% 0.18/0.52  % (12940)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (12949)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52  % (12940)Instruction limit reached!
% 0.18/0.52  % (12940)------------------------------
% 0.18/0.52  % (12940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (12952)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)
% 0.18/0.53  % (12942)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (12950)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (12948)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)
% 0.18/0.53  % (12953)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (12947)First to succeed.
% 0.18/0.53  % (12961)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)
% 0.18/0.53  % (12944)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53  % (12943)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)
% 0.18/0.53  % (12947)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (12947)------------------------------
% 0.18/0.53  % (12947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (12947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (12947)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (12947)Memory used [KB]: 1279
% 0.18/0.53  % (12947)Time elapsed: 0.136 s
% 0.18/0.53  % (12947)Instructions burned: 21 (million)
% 0.18/0.53  % (12947)------------------------------
% 0.18/0.53  % (12947)------------------------------
% 0.18/0.53  % (12931)Success in time 0.194 s
%------------------------------------------------------------------------------