TSTP Solution File: SYN553-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN553-1 : 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 : n024.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 19:38:54 EDT 2022

% Result   : Unsatisfiable 0.22s 0.59s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  18 unt;   0 def)
%            Number of atoms       :   38 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  16   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f563,plain,
    $false,
    inference(subsumption_resolution,[],[f562,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f562,plain,
    ~ p2(sF4,sF4),
    inference(subsumption_resolution,[],[f561,f21]) ).

fof(f21,plain,
    p2(sF3,f8(c4,sF2)),
    inference(superposition,[],[f5,f15]) ).

fof(f15,plain,
    f8(sF2,c4) = sF3,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ! [X2,X1] : p2(f8(X1,X2),f8(X2,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

fof(f561,plain,
    ( ~ p2(sF3,f8(c4,sF2))
    | ~ p2(sF4,sF4) ),
    inference(subsumption_resolution,[],[f465,f20]) ).

fof(f20,plain,
    ~ p2(sF5,sF7),
    inference(definition_folding,[],[f9,f19,f18,f16,f14,f17,f16,f15,f14]) ).

fof(f17,plain,
    f8(sF3,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f14,plain,
    f9(c4) = sF2,
    introduced(function_definition,[]) ).

fof(f16,plain,
    f9(c3) = sF4,
    introduced(function_definition,[]) ).

fof(f18,plain,
    f8(sF4,c4) = sF6,
    introduced(function_definition,[]) ).

fof(f19,plain,
    f8(sF2,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f9,axiom,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_9) ).

fof(f465,plain,
    ( p2(sF5,sF7)
    | ~ p2(sF3,f8(c4,sF2))
    | ~ p2(sF4,sF4) ),
    inference(resolution,[],[f144,f261]) ).

fof(f261,plain,
    ! [X0] :
      ( ~ p2(X0,f8(f8(c4,sF2),sF4))
      | p2(X0,sF7) ),
    inference(resolution,[],[f258,f6]) ).

fof(f6,axiom,
    ! [X3,X4,X5] :
      ( ~ p2(X5,X4)
      | p2(X3,X4)
      | ~ p2(X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f258,plain,
    p2(f8(f8(c4,sF2),sF4),sF7),
    inference(resolution,[],[f90,f5]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ p2(X0,f8(sF4,f8(c4,sF2)))
      | p2(X0,sF7) ),
    inference(resolution,[],[f88,f6]) ).

fof(f88,plain,
    p2(f8(sF4,f8(c4,sF2)),sF7),
    inference(resolution,[],[f71,f35]) ).

fof(f35,plain,
    ! [X9] :
      ( ~ p2(X9,f8(sF6,sF2))
      | p2(X9,sF7) ),
    inference(resolution,[],[f6,f26]) ).

fof(f26,plain,
    p2(f8(sF6,sF2),sF7),
    inference(superposition,[],[f5,f19]) ).

fof(f71,plain,
    ! [X3] : p2(f8(sF4,f8(c4,X3)),f8(sF6,X3)),
    inference(superposition,[],[f7,f18]) ).

fof(f7,axiom,
    ! [X8,X6,X7] : p2(f8(X6,f8(X7,X8)),f8(f8(X6,X7),X8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f144,plain,
    ! [X4,X5] :
      ( p2(sF5,f8(X4,X5))
      | ~ p2(sF3,X4)
      | ~ p2(sF4,X5) ),
    inference(superposition,[],[f8,f17]) ).

fof(f8,axiom,
    ! [X10,X11,X9,X12] :
      ( p2(f8(X9,X10),f8(X11,X12))
      | ~ p2(X10,X12)
      | ~ p2(X9,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN553-1 : 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
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 22:10:04 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  % (15077)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)
% 0.22/0.51  % (15090)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)
% 0.22/0.51  % (15084)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)
% 0.22/0.51  % (15082)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)
% 0.22/0.52  % (15074)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)
% 0.22/0.52  TRYING [1]
% 0.22/0.52  % (15073)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)
% 0.22/0.52  TRYING [2]
% 0.22/0.52  TRYING [3]
% 0.22/0.52  % (15092)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.53  % (15078)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53  % (15071)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)
% 0.22/0.53  % (15069)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)
% 0.22/0.53  % (15069)Refutation not found, incomplete strategy% (15069)------------------------------
% 0.22/0.53  % (15069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (15069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (15069)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53  
% 0.22/0.53  % (15069)Memory used [KB]: 5373
% 0.22/0.53  % (15069)Time elapsed: 0.116 s
% 0.22/0.53  % (15069)Instructions burned: 1 (million)
% 0.22/0.53  % (15069)------------------------------
% 0.22/0.53  % (15069)------------------------------
% 0.22/0.53  % (15072)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53  % (15086)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.53  % (15068)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)
% 0.22/0.53  TRYING [1]
% 0.22/0.54  TRYING [2]
% 0.22/0.54  % (15094)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)
% 0.22/0.54  TRYING [4]
% 0.22/0.54  % (15075)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54  % (15097)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)
% 0.22/0.54  % (15076)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.54  % (15076)Instruction limit reached!
% 0.22/0.54  % (15076)------------------------------
% 0.22/0.54  % (15076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (15076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (15076)Termination reason: Unknown
% 0.22/0.54  % (15076)Termination phase: shuffling
% 0.22/0.54  
% 0.22/0.54  % (15076)Memory used [KB]: 895
% 0.22/0.54  % (15076)Time elapsed: 0.003 s
% 0.22/0.54  % (15076)Instructions burned: 2 (million)
% 0.22/0.54  % (15076)------------------------------
% 0.22/0.54  % (15076)------------------------------
% 0.22/0.54  % (15075)Instruction limit reached!
% 0.22/0.54  % (15075)------------------------------
% 0.22/0.54  % (15075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (15075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (15075)Termination reason: Unknown
% 0.22/0.54  % (15075)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (15075)Memory used [KB]: 5500
% 0.22/0.54  % (15075)Time elapsed: 0.128 s
% 0.22/0.54  % (15075)Instructions burned: 8 (million)
% 0.22/0.54  % (15075)------------------------------
% 0.22/0.54  % (15075)------------------------------
% 0.22/0.54  % (15093)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.54  % (15070)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)
% 0.22/0.54  % (15091)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)
% 0.22/0.54  % (15089)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.55  % (15095)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)
% 0.22/0.55  % (15085)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.55  % (15081)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.55  TRYING [1]
% 0.22/0.55  TRYING [2]
% 0.22/0.55  % (15088)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)
% 0.22/0.55  TRYING [3]
% 0.22/0.55  % (15079)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)
% 0.22/0.55  % (15087)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)
% 0.22/0.55  TRYING [3]
% 0.22/0.55  % (15080)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.55  % (15083)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)
% 0.22/0.56  % (15096)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.56  TRYING [4]
% 0.22/0.56  TRYING [4]
% 0.22/0.57  % (15074)Instruction limit reached!
% 0.22/0.57  % (15074)------------------------------
% 0.22/0.57  % (15074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57  % (15074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57  % (15074)Termination reason: Unknown
% 0.22/0.57  % (15074)Termination phase: Finite model building SAT solving
% 0.22/0.57  
% 0.22/0.57  % (15074)Memory used [KB]: 6524
% 0.22/0.57  % (15074)Time elapsed: 0.097 s
% 0.22/0.57  % (15074)Instructions burned: 51 (million)
% 0.22/0.57  % (15074)------------------------------
% 0.22/0.57  % (15074)------------------------------
% 0.22/0.58  % (15077)Instruction limit reached!
% 0.22/0.58  % (15077)------------------------------
% 0.22/0.58  % (15077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59  % (15077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59  % (15077)Termination reason: Unknown
% 0.22/0.59  % (15077)Termination phase: Saturation
% 0.22/0.59  % (15080)First to succeed.
% 0.22/0.59  
% 0.22/0.59  % (15077)Memory used [KB]: 1023
% 0.22/0.59  % (15077)Time elapsed: 0.151 s
% 0.22/0.59  % (15077)Instructions burned: 52 (million)
% 0.22/0.59  % (15077)------------------------------
% 0.22/0.59  % (15077)------------------------------
% 0.22/0.59  % (15080)Refutation found. Thanks to Tanya!
% 0.22/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.59  % (15080)------------------------------
% 0.22/0.59  % (15080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59  % (15080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59  % (15080)Termination reason: Refutation
% 0.22/0.59  
% 0.22/0.59  % (15080)Memory used [KB]: 5756
% 0.22/0.59  % (15080)Time elapsed: 0.184 s
% 0.22/0.59  % (15080)Instructions burned: 19 (million)
% 0.22/0.59  % (15080)------------------------------
% 0.22/0.59  % (15080)------------------------------
% 0.22/0.59  % (15067)Success in time 0.228 s
%------------------------------------------------------------------------------