TSTP Solution File: SYN684-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN684-1 : 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 : n028.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 19:39:15 EDT 2022

% Result   : Unsatisfiable 1.51s 0.54s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            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 :   26 (  15   ~;  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   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f259,plain,
    $false,
    inference(subsumption_resolution,[],[f258,f81]) ).

fof(f81,plain,
    p2(sF1,sF18),
    inference(definition_folding,[],[f39,f80,f61,f60,f79,f70,f57,f56]) ).

fof(f56,plain,
    f4(c32) = sF0,
    introduced(function_definition,[]) ).

fof(f57,plain,
    sF1 = f11(sF0,c34),
    introduced(function_definition,[]) ).

fof(f70,plain,
    f4(c33) = sF11,
    introduced(function_definition,[]) ).

fof(f79,plain,
    sF17 = f11(sF11,c34),
    introduced(function_definition,[]) ).

fof(f60,plain,
    f17(c31) = sF4,
    introduced(function_definition,[]) ).

fof(f61,plain,
    sF5 = f9(sF4),
    introduced(function_definition,[]) ).

fof(f80,plain,
    f18(sF17,sF5) = sF18,
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

fof(f258,plain,
    ~ p2(sF1,sF18),
    inference(forward_demodulation,[],[f256,f80]) ).

fof(f256,plain,
    ~ p2(sF1,f18(sF17,sF5)),
    inference(resolution,[],[f234,f92]) ).

fof(f92,plain,
    ! [X10] : ~ p2(X10,f18(X10,sF5)),
    inference(definition_folding,[],[f19,f61,f60]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f234,plain,
    ! [X0] :
      ( p2(sF17,X0)
      | ~ p2(sF1,X0) ),
    inference(resolution,[],[f233,f31]) ).

fof(f31,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X33)
      | ~ p2(X5,X34)
      | p2(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).

fof(f233,plain,
    p2(sF1,sF17),
    inference(resolution,[],[f218,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f218,plain,
    ! [X0] :
      ( ~ p2(sF17,X0)
      | p2(sF1,X0) ),
    inference(resolution,[],[f209,f31]) ).

fof(f209,plain,
    p2(sF17,sF1),
    inference(forward_demodulation,[],[f208,f79]) ).

fof(f208,plain,
    p2(f11(sF11,c34),sF1),
    inference(subsumption_resolution,[],[f207,f12]) ).

fof(f12,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

fof(f207,plain,
    ( p2(f11(sF11,c34),sF1)
    | ~ p25(c32,c33) ),
    inference(subsumption_resolution,[],[f201,f11]) ).

fof(f11,axiom,
    p25(c33,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_11) ).

fof(f201,plain,
    ( ~ p25(c33,c36)
    | ~ p25(c32,c33)
    | p2(f11(sF11,c34),sF1) ),
    inference(superposition,[],[f69,f70]) ).

fof(f69,plain,
    ! [X82] :
      ( p2(f11(f4(X82),c34),sF1)
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    inference(definition_folding,[],[f51,f57,f56]) ).

fof(f51,axiom,
    ! [X82] :
      ( ~ p25(X82,c36)
      | ~ p25(c32,X82)
      | p2(f11(f4(X82),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN684-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:24:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (27451)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49  % (27442)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)
% 0.20/0.51  % (27443)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)
% 0.20/0.51  % (27465)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (27441)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)
% 0.20/0.51  % (27457)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)
% 0.20/0.51  % (27469)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (27467)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)
% 0.20/0.52  % (27445)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.52  % (27464)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)
% 1.37/0.52  % (27442)Refutation not found, incomplete strategy% (27442)------------------------------
% 1.37/0.52  % (27442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52  % (27442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52  % (27442)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.52  
% 1.37/0.52  % (27442)Memory used [KB]: 5500
% 1.37/0.52  % (27442)Time elapsed: 0.126 s
% 1.37/0.52  % (27442)Instructions burned: 2 (million)
% 1.37/0.52  % (27442)------------------------------
% 1.37/0.52  % (27442)------------------------------
% 1.37/0.52  % (27444)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)
% 1.37/0.52  % (27455)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)
% 1.37/0.52  % (27456)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)
% 1.37/0.52  % (27446)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)
% 1.37/0.52  % (27461)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)
% 1.37/0.52  % (27448)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.52  % (27454)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.52  % (27463)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)
% 1.37/0.53  % (27466)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.37/0.53  % (27459)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.53  % (27460)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)
% 1.37/0.53  % (27458)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.37/0.53  % (27449)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.53  % (27449)Instruction limit reached!
% 1.37/0.53  % (27449)------------------------------
% 1.37/0.53  % (27449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (27449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (27449)Termination reason: Unknown
% 1.37/0.53  % (27449)Termination phase: Saturation
% 1.37/0.53  
% 1.37/0.53  % (27449)Memory used [KB]: 5500
% 1.37/0.53  % (27449)Time elapsed: 0.140 s
% 1.37/0.53  % (27449)Instructions burned: 3 (million)
% 1.37/0.53  % (27449)------------------------------
% 1.37/0.53  % (27449)------------------------------
% 1.37/0.53  TRYING [1]
% 1.37/0.53  % (27448)Instruction limit reached!
% 1.37/0.53  % (27448)------------------------------
% 1.37/0.53  % (27448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  TRYING [2]
% 1.37/0.53  % (27448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (27448)Termination reason: Unknown
% 1.37/0.53  % (27448)Termination phase: Saturation
% 1.37/0.53  
% 1.37/0.53  % (27448)Memory used [KB]: 5500
% 1.37/0.53  % (27448)Time elapsed: 0.143 s
% 1.37/0.53  % (27448)Instructions burned: 7 (million)
% 1.37/0.53  % (27448)------------------------------
% 1.37/0.53  % (27448)------------------------------
% 1.37/0.53  TRYING [3]
% 1.37/0.53  % (27452)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)
% 1.37/0.53  % (27470)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)
% 1.37/0.53  % (27456)First to succeed.
% 1.37/0.53  % (27447)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)
% 1.37/0.54  % (27450)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)
% 1.51/0.54  % (27453)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.54  % (27459)Also succeeded, but the first one will report.
% 1.51/0.54  TRYING [1]
% 1.51/0.54  TRYING [2]
% 1.51/0.54  % (27456)Refutation found. Thanks to Tanya!
% 1.51/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.54  % (27456)------------------------------
% 1.51/0.54  % (27456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (27456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (27456)Termination reason: Refutation
% 1.51/0.54  
% 1.51/0.54  % (27456)Memory used [KB]: 1151
% 1.51/0.54  % (27456)Time elapsed: 0.152 s
% 1.51/0.54  % (27456)Instructions burned: 13 (million)
% 1.51/0.54  % (27456)------------------------------
% 1.51/0.54  % (27456)------------------------------
% 1.51/0.54  % (27440)Success in time 0.196 s
%------------------------------------------------------------------------------