TSTP Solution File: SYN672-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN672-1 : 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 : n007.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 19:39:14 EDT 2022

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   41 (  27 unt;   0 def)
%            Number of atoms       :   65 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  21   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  17 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f352,plain,
    $false,
    inference(subsumption_resolution,[],[f349,f67]) ).

fof(f67,plain,
    ~ p30(sF6,sF7),
    inference(definition_folding,[],[f40,f66,f56,f65,f64,f55]) ).

fof(f55,plain,
    f12(c32,c33) = sF0,
    introduced(function_definition,[]) ).

fof(f64,plain,
    f14(c35,c39) = sF5,
    introduced(function_definition,[]) ).

fof(f65,plain,
    f10(sF0,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f56,plain,
    f7(c34,c35) = sF1,
    introduced(function_definition,[]) ).

fof(f66,plain,
    sF7 = f4(sF1,c40),
    introduced(function_definition,[]) ).

fof(f40,axiom,
    ~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p30_40) ).

fof(f349,plain,
    p30(sF6,sF7),
    inference(resolution,[],[f348,f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ p30(f10(sF0,f4(sF1,sF4)),X0)
      | p30(sF6,X0) ),
    inference(resolution,[],[f213,f106]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( ~ p9(X0,X2)
      | ~ p30(X0,X1)
      | p30(X2,X1) ),
    inference(resolution,[],[f39,f6]) ).

fof(f6,axiom,
    ! [X5] : p3(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).

fof(f39,axiom,
    ! [X58,X59,X57,X60] :
      ( ~ p3(X60,X58)
      | ~ p30(X59,X60)
      | ~ p9(X59,X57)
      | p30(X57,X58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_39) ).

fof(f213,plain,
    p9(f10(sF0,f4(sF1,sF4)),sF6),
    inference(superposition,[],[f209,f65]) ).

fof(f209,plain,
    ! [X0] : p9(f10(X0,f4(sF1,sF4)),f10(X0,sF5)),
    inference(resolution,[],[f200,f3]) ).

fof(f3,axiom,
    ! [X2] : p8(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

fof(f200,plain,
    ! [X24,X23] :
      ( ~ p8(X23,X24)
      | p9(f10(X23,f4(sF1,sF4)),f10(X24,sF5)) ),
    inference(resolution,[],[f42,f98]) ).

fof(f98,plain,
    p3(f4(sF1,sF4),sF5),
    inference(forward_demodulation,[],[f97,f56]) ).

fof(f97,plain,
    p3(f4(f7(c34,c35),sF4),sF5),
    inference(forward_demodulation,[],[f96,f61]) ).

fof(f61,plain,
    f14(c38,c39) = sF4,
    introduced(function_definition,[]) ).

fof(f96,plain,
    p3(f4(f7(c34,c35),f14(c38,c39)),sF5),
    inference(superposition,[],[f37,f64]) ).

fof(f37,axiom,
    ! [X51,X52] : p3(f4(f7(c34,X51),f14(c38,X52)),f14(X51,X52)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).

fof(f42,axiom,
    ! [X65,X68,X66,X67] :
      ( ~ p3(X66,X68)
      | ~ p8(X65,X67)
      | p9(f10(X65,X66),f10(X67,X68)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_42) ).

fof(f348,plain,
    p30(f10(sF0,f4(sF1,sF4)),sF7),
    inference(forward_demodulation,[],[f347,f66]) ).

fof(f347,plain,
    p30(f10(sF0,f4(sF1,sF4)),f4(sF1,c40)),
    inference(resolution,[],[f346,f57]) ).

fof(f57,plain,
    ! [X111,X110] :
      ( ~ p30(f10(sF0,X110),X111)
      | p30(f10(sF0,f4(sF1,X110)),f4(sF1,X111)) ),
    inference(definition_folding,[],[f54,f55,f56,f56,f55]) ).

fof(f54,axiom,
    ! [X111,X110] :
      ( p30(f10(f12(c32,c33),f4(f7(c34,c35),X110)),f4(f7(c34,c35),X111))
      | ~ p30(f10(f12(c32,c33),X110),X111) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_54) ).

fof(f346,plain,
    p30(f10(sF0,sF4),c40),
    inference(subsumption_resolution,[],[f345,f62]) ).

fof(f62,plain,
    ~ p3(c40,sF4),
    inference(definition_folding,[],[f18,f61]) ).

fof(f18,axiom,
    ~ p3(c40,f14(c38,c39)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_18) ).

fof(f345,plain,
    ( p30(f10(sF0,sF4),c40)
    | p3(c40,sF4) ),
    inference(subsumption_resolution,[],[f344,f60]) ).

fof(f60,plain,
    p31(sF2,sF3),
    inference(definition_folding,[],[f19,f59,f58]) ).

fof(f58,plain,
    f20(c36,c39) = sF2,
    introduced(function_definition,[]) ).

fof(f59,plain,
    f17(c37,c40) = sF3,
    introduced(function_definition,[]) ).

fof(f19,axiom,
    p31(f20(c36,c39),f17(c37,c40)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_19) ).

fof(f344,plain,
    ( ~ p31(sF2,sF3)
    | p30(f10(sF0,sF4),c40)
    | p3(c40,sF4) ),
    inference(superposition,[],[f324,f59]) ).

fof(f324,plain,
    ! [X0] :
      ( ~ p31(sF2,f17(c37,X0))
      | p30(f10(sF0,sF4),X0)
      | p3(X0,sF4) ),
    inference(forward_demodulation,[],[f323,f61]) ).

fof(f323,plain,
    ! [X0] :
      ( p3(X0,sF4)
      | ~ p31(sF2,f17(c37,X0))
      | p30(f10(sF0,f14(c38,c39)),X0) ),
    inference(forward_demodulation,[],[f321,f61]) ).

fof(f321,plain,
    ! [X0] :
      ( p3(X0,f14(c38,c39))
      | ~ p31(sF2,f17(c37,X0))
      | p30(f10(sF0,f14(c38,c39)),X0) ),
    inference(superposition,[],[f63,f58]) ).

fof(f63,plain,
    ! [X108,X109] :
      ( ~ p31(f20(c36,X109),f17(c37,X108))
      | p3(X108,f14(c38,X109))
      | p30(f10(sF0,f14(c38,X109)),X108) ),
    inference(definition_folding,[],[f53,f55]) ).

fof(f53,axiom,
    ! [X108,X109] :
      ( p30(f10(f12(c32,c33),f14(c38,X109)),X108)
      | p3(X108,f14(c38,X109))
      | ~ p31(f20(c36,X109),f17(c37,X108)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_53) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN672-1 : 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
% 0.13/0.34  % Computer : n007.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   : Tue Aug 30 22:00:01 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (6480)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)
% 0.20/0.53  % (6479)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)
% 0.20/0.53  % (6493)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (6485)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)
% 0.20/0.54  % (6477)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (6490)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (6488)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)
% 0.20/0.54  % (6487)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)
% 0.20/0.55  % (6472)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (6471)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)
% 0.20/0.55  % (6472)Instruction limit reached!
% 0.20/0.55  % (6472)------------------------------
% 0.20/0.55  % (6472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (6472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (6472)Termination reason: Unknown
% 0.20/0.55  % (6472)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (6472)Memory used [KB]: 5500
% 0.20/0.55  % (6472)Time elapsed: 0.126 s
% 0.20/0.55  % (6472)Instructions burned: 7 (million)
% 0.20/0.55  % (6472)------------------------------
% 0.20/0.55  % (6472)------------------------------
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (6469)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (6478)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (6484)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)
% 0.20/0.55  % (6466)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)
% 0.20/0.56  % (6482)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56  % (6486)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56  % (6481)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)
% 0.20/0.56  % (6466)Refutation not found, incomplete strategy% (6466)------------------------------
% 0.20/0.56  % (6466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (6466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (6466)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (6466)Memory used [KB]: 5500
% 0.20/0.56  % (6466)Time elapsed: 0.140 s
% 0.20/0.56  % (6466)Instructions burned: 3 (million)
% 0.20/0.56  % (6466)------------------------------
% 0.20/0.56  % (6466)------------------------------
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (6465)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)
% 0.20/0.56  % (6476)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)
% 0.20/0.56  % (6467)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)
% 0.20/0.56  % (6474)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)
% 0.20/0.56  % (6492)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)
% 0.20/0.56  % (6494)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)
% 0.20/0.57  % (6489)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.57  % (6470)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)
% 0.20/0.57  % (6468)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)
% 0.20/0.57  % (6473)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (6473)Instruction limit reached!
% 0.20/0.57  % (6473)------------------------------
% 0.20/0.57  % (6473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (6473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (6473)Termination reason: Unknown
% 0.20/0.57  % (6473)Termination phase: Blocked clause elimination
% 0.20/0.57  
% 0.20/0.57  % (6473)Memory used [KB]: 1023
% 0.20/0.57  % (6473)Time elapsed: 0.004 s
% 0.20/0.57  % (6473)Instructions burned: 3 (million)
% 0.20/0.57  % (6473)------------------------------
% 0.20/0.57  % (6473)------------------------------
% 0.20/0.58  TRYING [3]
% 0.20/0.58  % (6469)First to succeed.
% 0.20/0.58  TRYING [2]
% 0.20/0.59  TRYING [1]
% 0.20/0.59  % (6483)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59  TRYING [3]
% 0.20/0.59  TRYING [2]
% 0.20/0.59  % (6475)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  % (6469)Refutation found. Thanks to Tanya!
% 0.20/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60  % (6469)------------------------------
% 0.20/0.60  % (6469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (6469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (6469)Termination reason: Refutation
% 0.20/0.60  
% 0.20/0.60  % (6469)Memory used [KB]: 5756
% 0.20/0.60  % (6469)Time elapsed: 0.144 s
% 0.20/0.60  % (6469)Instructions burned: 15 (million)
% 0.20/0.60  % (6469)------------------------------
% 0.20/0.60  % (6469)------------------------------
% 0.20/0.60  % (6464)Success in time 0.239 s
%------------------------------------------------------------------------------