TSTP Solution File: SYN706-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN706-1 : 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 : n022.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 19:39:19 EDT 2022

% Result   : Unsatisfiable 1.48s 0.55s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   44 (  18 unt;   0 def)
%            Number of atoms       :   99 (   5 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  117 (  62   ~;  53   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   3 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  15 con; 0-2 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f641,plain,
    $false,
    inference(avatar_sat_refutation,[],[f471,f487,f640]) ).

fof(f640,plain,
    ~ spl5_4,
    inference(avatar_contradiction_clause,[],[f639]) ).

fof(f639,plain,
    ( $false
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f638,f8]) ).

fof(f8,axiom,
    ! [X7] : p4(X7,X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).

fof(f638,plain,
    ( ~ p4(sF0,sF0)
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f635,f90]) ).

fof(f90,plain,
    p45(sF4,c58),
    inference(definition_folding,[],[f27,f88]) ).

fof(f88,plain,
    f20(c52,c50) = sF4,
    introduced(function_definition,[]) ).

fof(f27,axiom,
    p45(f20(c52,c50),c58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_27) ).

fof(f635,plain,
    ( ~ p45(sF4,c58)
    | ~ p4(sF0,sF0)
    | ~ spl5_4 ),
    inference(resolution,[],[f629,f567]) ).

fof(f567,plain,
    ! [X10,X11,X12] :
      ( p46(f23(c53,f35(X10,X11)),X12)
      | ~ p4(sF0,X12)
      | ~ p45(sF4,X10) ),
    inference(resolution,[],[f255,f18]) ).

fof(f18,axiom,
    ! [X17] : p22(X17,X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_18) ).

fof(f255,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p22(f23(c53,f35(X0,X3)),X2)
      | ~ p45(sF4,X0)
      | p46(X2,X1)
      | ~ p4(sF0,X1) ),
    inference(resolution,[],[f254,f58]) ).

fof(f58,axiom,
    ! [X88,X86,X89,X87] :
      ( ~ p46(X89,X88)
      | ~ p4(X88,X87)
      | p46(X86,X87)
      | ~ p22(X89,X86) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_58) ).

fof(f254,plain,
    ! [X0,X1] :
      ( p46(f23(c53,f35(X0,X1)),sF0)
      | ~ p45(sF4,X0) ),
    inference(forward_demodulation,[],[f253,f88]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( p46(f23(c53,f35(X0,X1)),sF0)
      | ~ p45(f20(c52,c50),X0) ),
    inference(superposition,[],[f78,f82]) ).

fof(f82,plain,
    f5(c49,c50) = sF0,
    introduced(function_definition,[]) ).

fof(f78,axiom,
    ! [X162,X163,X164] :
      ( p46(f23(c53,f35(X162,X163)),f5(c49,X164))
      | ~ p45(f20(c52,X164),X162) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_78) ).

fof(f629,plain,
    ( ~ p46(f23(c53,f35(c58,c61)),sF0)
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f628,f90]) ).

fof(f628,plain,
    ( ~ p45(sF4,c58)
    | ~ p46(f23(c53,f35(c58,c61)),sF0)
    | ~ spl5_4 ),
    inference(resolution,[],[f470,f148]) ).

fof(f148,plain,
    ! [X0] : p7(f8(f11(c54,f14(sF3,f35(X0,c61))),X0),X0),
    inference(superposition,[],[f59,f87]) ).

fof(f87,plain,
    f17(c55,c61) = sF3,
    introduced(function_definition,[]) ).

fof(f59,axiom,
    ! [X90,X91] : p7(f8(f11(c54,f14(f17(c55,X90),f35(X91,X90))),X91),X91),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_59) ).

fof(f470,plain,
    ( ! [X14,X13] :
        ( ~ p7(f8(f11(c54,f14(sF3,X13)),X14),c58)
        | ~ p45(sF4,X14)
        | ~ p46(f23(c53,X13),sF0) )
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl5_4
  <=> ! [X13,X14] :
        ( ~ p46(f23(c53,X13),sF0)
        | ~ p7(f8(f11(c54,f14(sF3,X13)),X14),c58)
        | ~ p45(sF4,X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f487,plain,
    ~ spl5_3,
    inference(avatar_contradiction_clause,[],[f486]) ).

fof(f486,plain,
    ( $false
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f485,f86]) ).

fof(f86,plain,
    ~ p48(sF2,c60),
    inference(definition_folding,[],[f29,f85,f84]) ).

fof(f84,plain,
    f40(c59,c50) = sF1,
    introduced(function_definition,[]) ).

fof(f85,plain,
    sF2 = f38(sF1,c58),
    introduced(function_definition,[]) ).

fof(f29,axiom,
    ~ p48(f38(f40(c59,c50),c58),c60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p48_29) ).

fof(f485,plain,
    ( p48(sF2,c60)
    | ~ spl5_3 ),
    inference(resolution,[],[f467,f5]) ).

fof(f5,axiom,
    ! [X4] : p47(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_5) ).

fof(f467,plain,
    ( ! [X15] :
        ( ~ p47(c60,X15)
        | p48(sF2,X15) )
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl5_3
  <=> ! [X15] :
        ( p48(sF2,X15)
        | ~ p47(c60,X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f471,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f464,f469,f466]) ).

fof(f464,plain,
    ! [X14,X15,X13] :
      ( ~ p46(f23(c53,X13),sF0)
      | ~ p45(sF4,X14)
      | p48(sF2,X15)
      | ~ p7(f8(f11(c54,f14(sF3,X13)),X14),c58)
      | ~ p47(c60,X15) ),
    inference(subsumption_resolution,[],[f454,f11]) ).

fof(f11,axiom,
    ! [X10] : p36(X10,X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_11) ).

fof(f454,plain,
    ! [X14,X15,X13] :
      ( ~ p45(sF4,X14)
      | ~ p7(f8(f11(c54,f14(sF3,X13)),X14),c58)
      | ~ p36(sF1,sF1)
      | ~ p47(c60,X15)
      | ~ p46(f23(c53,X13),sF0)
      | p48(sF2,X15) ),
    inference(resolution,[],[f265,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( p37(f38(X0,X1),sF2)
      | ~ p36(X0,sF1)
      | ~ p7(X1,c58) ),
    inference(superposition,[],[f67,f85]) ).

fof(f67,axiom,
    ! [X120,X118,X121,X119] :
      ( p37(f38(X118,X119),f38(X120,X121))
      | ~ p7(X119,X121)
      | ~ p36(X118,X120) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_67) ).

fof(f265,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p37(f38(sF1,f8(f11(c54,f14(sF3,X0)),X1)),X3)
      | ~ p46(f23(c53,X0),sF0)
      | ~ p45(sF4,X1)
      | ~ p47(c60,X2)
      | p48(X3,X2) ),
    inference(resolution,[],[f89,f57]) ).

fof(f57,axiom,
    ! [X82,X83,X84,X85] :
      ( ~ p48(X85,X84)
      | ~ p47(X84,X83)
      | p48(X82,X83)
      | ~ p37(X85,X82) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_57) ).

fof(f89,plain,
    ! [X170,X169] :
      ( p48(f38(sF1,f8(f11(c54,f14(sF3,X169)),X170)),c60)
      | ~ p46(f23(c53,X169),sF0)
      | ~ p45(sF4,X170) ),
    inference(definition_folding,[],[f81,f82,f88,f87,f84]) ).

fof(f81,axiom,
    ! [X170,X169] :
      ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X169)),X170)),c60)
      | ~ p45(f20(c52,c50),X170)
      | ~ p46(f23(c53,X169),f5(c49,c50)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_81) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN706-1 : 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 : n022.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 22:18:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (16466)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.47  % (16458)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48  % (16474)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)
% 0.20/0.49  % (16448)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)
% 0.20/0.50  % (16455)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (16463)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)
% 0.20/0.51  % (16455)Instruction limit reached!
% 0.20/0.51  % (16455)------------------------------
% 0.20/0.51  % (16455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (16457)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)
% 0.20/0.52  % (16450)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)
% 1.32/0.52  % (16455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (16455)Termination reason: Unknown
% 1.32/0.52  % (16455)Termination phase: Saturation
% 1.32/0.52  
% 1.32/0.52  % (16455)Memory used [KB]: 5628
% 1.32/0.52  % (16455)Time elapsed: 0.103 s
% 1.32/0.52  % (16455)Instructions burned: 7 (million)
% 1.32/0.52  % (16455)------------------------------
% 1.32/0.52  % (16455)------------------------------
% 1.32/0.52  % (16473)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.53  % (16452)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  TRYING [1]
% 1.32/0.53  TRYING [2]
% 1.32/0.53  % (16449)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)
% 1.32/0.53  % (16476)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.53  % (16477)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)
% 1.32/0.53  % (16451)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)
% 1.32/0.53  % (16456)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.53  % (16454)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)
% 1.32/0.53  % (16456)Instruction limit reached!
% 1.32/0.53  % (16456)------------------------------
% 1.32/0.53  % (16456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (16456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (16456)Termination reason: Unknown
% 1.32/0.53  % (16456)Termination phase: Blocked clause elimination
% 1.32/0.53  
% 1.32/0.53  % (16456)Memory used [KB]: 1023
% 1.32/0.53  % (16456)Time elapsed: 0.002 s
% 1.32/0.53  % (16456)Instructions burned: 3 (million)
% 1.32/0.53  % (16456)------------------------------
% 1.32/0.53  % (16456)------------------------------
% 1.32/0.54  % (16453)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)
% 1.32/0.54  % (16475)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)
% 1.48/0.54  % (16462)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)
% 1.48/0.54  % (16472)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.48/0.54  % (16465)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.48/0.54  TRYING [3]
% 1.48/0.54  % (16467)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)
% 1.48/0.54  % (16466)First to succeed.
% 1.48/0.54  % (16468)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)
% 1.48/0.55  % (16461)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.48/0.55  % (16470)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)
% 1.48/0.55  % (16464)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)
% 1.48/0.55  % (16459)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)
% 1.48/0.55  % (16466)Refutation found. Thanks to Tanya!
% 1.48/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.48/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.55  % (16466)------------------------------
% 1.48/0.55  % (16466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55  % (16466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (16466)Termination reason: Refutation
% 1.48/0.55  
% 1.48/0.55  % (16466)Memory used [KB]: 6140
% 1.48/0.55  % (16466)Time elapsed: 0.140 s
% 1.48/0.55  % (16466)Instructions burned: 40 (million)
% 1.48/0.55  % (16466)------------------------------
% 1.48/0.55  % (16466)------------------------------
% 1.48/0.55  % (16447)Success in time 0.198 s
%------------------------------------------------------------------------------