TSTP Solution File: SYN616-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN616-1 : 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 : n015.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 19:39:05 EDT 2022

% Result   : Unsatisfiable 1.51s 0.55s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  18 unt;   0 def)
%            Number of atoms       :   54 (   8 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   53 (  29   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1056,plain,
    $false,
    inference(subsumption_resolution,[],[f1055,f4]) ).

fof(f4,axiom,
    ! [X2] : p2(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

fof(f1055,plain,
    ~ p2(sF1,sF1),
    inference(subsumption_resolution,[],[f1054,f886]) ).

fof(f886,plain,
    p2(sF8,sF5),
    inference(subsumption_resolution,[],[f885,f776]) ).

fof(f776,plain,
    p2(sF7,sF4),
    inference(subsumption_resolution,[],[f775,f4]) ).

fof(f775,plain,
    ( p2(sF7,sF4)
    | ~ p2(sF3,sF3) ),
    inference(subsumption_resolution,[],[f741,f7]) ).

fof(f7,axiom,
    p2(c25,c28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f741,plain,
    ( ~ p2(c25,c28)
    | ~ p2(sF3,sF3)
    | p2(sF7,sF4) ),
    inference(superposition,[],[f134,f38]) ).

fof(f38,plain,
    f12(sF3,c28) = sF4,
    introduced(function_definition,[]) ).

fof(f134,plain,
    ! [X2,X3] :
      ( p2(sF7,f12(X2,X3))
      | ~ p2(sF3,X2)
      | ~ p2(c25,X3) ),
    inference(superposition,[],[f27,f42]) ).

fof(f42,plain,
    f12(sF3,c25) = sF7,
    introduced(function_definition,[]) ).

fof(f27,axiom,
    ! [X46,X44,X45,X43] :
      ( p2(f12(X43,X44),f12(X45,X46))
      | ~ p2(X43,X45)
      | ~ p2(X44,X46) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_27) ).

fof(f885,plain,
    ( ~ p2(sF7,sF4)
    | p2(sF8,sF5) ),
    inference(subsumption_resolution,[],[f882,f4]) ).

fof(f882,plain,
    ( ~ p2(c22,c22)
    | ~ p2(sF7,sF4)
    | p2(sF8,sF5) ),
    inference(superposition,[],[f141,f39]) ).

fof(f39,plain,
    f7(c22,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f141,plain,
    ! [X2,X3] :
      ( p2(sF8,f7(X2,X3))
      | ~ p2(c22,X2)
      | ~ p2(sF7,X3) ),
    inference(superposition,[],[f28,f43]) ).

fof(f43,plain,
    f7(c22,sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f28,axiom,
    ! [X50,X48,X49,X47] :
      ( p2(f7(X47,X48),f7(X49,X50))
      | ~ p2(X48,X50)
      | ~ p2(X47,X49) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

fof(f1054,plain,
    ( ~ p2(sF8,sF5)
    | ~ p2(sF1,sF1) ),
    inference(subsumption_resolution,[],[f1052,f4]) ).

fof(f1052,plain,
    ( ~ p2(sF6,sF6)
    | ~ p2(sF1,sF1)
    | ~ p2(sF8,sF5) ),
    inference(resolution,[],[f160,f41]) ).

fof(f41,plain,
    ~ p14(sF5,sF1,sF6),
    inference(definition_folding,[],[f30,f40,f34,f33,f39,f38,f36,f34,f33]) ).

fof(f36,plain,
    sF3 = f8(c21,sF1),
    introduced(function_definition,[]) ).

fof(f33,plain,
    f5(c20) = sF0,
    introduced(function_definition,[]) ).

fof(f34,plain,
    f3(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f40,plain,
    f6(c21) = sF6,
    introduced(function_definition,[]) ).

fof(f30,axiom,
    ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_30) ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( p14(X2,X1,X0)
      | ~ p2(sF6,X0)
      | ~ p2(sF8,X2)
      | ~ p2(sF1,X1) ),
    inference(resolution,[],[f31,f44]) ).

fof(f44,plain,
    p14(sF8,sF1,sF6),
    inference(definition_folding,[],[f29,f40,f34,f33,f43,f42,f36,f34,f33]) ).

fof(f29,axiom,
    p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_29) ).

fof(f31,axiom,
    ! [X51,X56,X54,X55,X52,X53] :
      ( ~ p14(X56,X55,X54)
      | ~ p2(X54,X53)
      | ~ p2(X55,X52)
      | ~ p2(X56,X51)
      | p14(X51,X52,X53) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN616-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12  % 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 : n015.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 22:23:06 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (16765)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)
% 0.18/0.49  % (16757)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  % (16749)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)
% 0.18/0.50  % (16755)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50  % (16756)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (16761)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  TRYING [1]
% 0.18/0.50  % (16751)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  TRYING [2]
% 0.18/0.50  % (16751)Instruction limit reached!
% 0.18/0.50  % (16751)------------------------------
% 0.18/0.50  % (16751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (16751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (16751)Termination reason: Unknown
% 0.18/0.50  % (16751)Termination phase: Blocked clause elimination
% 0.18/0.50  
% 0.18/0.50  % (16751)Memory used [KB]: 895
% 0.18/0.50  % (16751)Time elapsed: 0.003 s
% 0.18/0.50  % (16751)Instructions burned: 2 (million)
% 0.18/0.50  % (16751)------------------------------
% 0.18/0.50  % (16751)------------------------------
% 0.18/0.50  % (16769)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)
% 0.18/0.51  TRYING [3]
% 0.18/0.51  % (16754)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)
% 0.18/0.51  % (16767)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51  % (16759)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)
% 0.18/0.52  % (16745)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  % (16747)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (16762)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)
% 0.18/0.52  % (16766)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)
% 0.18/0.52  % (16748)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  % (16744)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)
% 0.18/0.52  % (16746)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  % (16743)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  % (16744)Refutation not found, incomplete strategy% (16744)------------------------------
% 0.18/0.52  % (16744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16744)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (16744)Memory used [KB]: 5373
% 0.18/0.52  % (16744)Time elapsed: 0.127 s
% 0.18/0.52  % (16744)Instructions burned: 2 (million)
% 0.18/0.52  % (16744)------------------------------
% 0.18/0.52  % (16744)------------------------------
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (16771)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (16770)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)
% 0.18/0.53  % (16772)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  % (16763)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  % (16758)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)
% 0.18/0.53  % (16768)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54  % (16753)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (16750)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (16760)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54  % (16752)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)
% 0.18/0.54  TRYING [1]
% 0.18/0.54  TRYING [2]
% 0.18/0.54  % (16764)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54  % (16750)Instruction limit reached!
% 0.18/0.54  % (16750)------------------------------
% 0.18/0.54  % (16750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16750)Termination reason: Unknown
% 0.18/0.54  % (16750)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16750)Memory used [KB]: 5500
% 0.18/0.54  % (16750)Time elapsed: 0.153 s
% 0.18/0.54  % (16750)Instructions burned: 7 (million)
% 0.18/0.54  % (16750)------------------------------
% 0.18/0.54  % (16750)------------------------------
% 1.51/0.54  TRYING [3]
% 1.51/0.55  % (16761)First to succeed.
% 1.51/0.55  % (16761)Refutation found. Thanks to Tanya!
% 1.51/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.55  % (16761)------------------------------
% 1.51/0.55  % (16761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55  % (16761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55  % (16761)Termination reason: Refutation
% 1.51/0.55  
% 1.51/0.55  % (16761)Memory used [KB]: 6140
% 1.51/0.55  % (16761)Time elapsed: 0.152 s
% 1.51/0.55  % (16761)Instructions burned: 30 (million)
% 1.51/0.55  % (16761)------------------------------
% 1.51/0.55  % (16761)------------------------------
% 1.51/0.55  % (16742)Success in time 0.209 s
%------------------------------------------------------------------------------