TSTP Solution File: SYN557-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN557-1 : 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 : n017.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 1.67s 0.73s
% Output   : Refutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   32 (  26 unt;   0 def)
%            Number of atoms       :   39 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-3 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f960,plain,
    $false,
    inference(resolution,[],[f958,f25]) ).

fof(f25,plain,
    ~ p2(c6,sF7),
    inference(definition_folding,[],[f3,f24,f18]) ).

fof(f18,plain,
    f5(c9) = sF3,
    introduced(function_definition,[]) ).

fof(f24,plain,
    f3(c8,sF3) = sF7,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    ~ p2(c6,f3(c8,f5(c9))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).

fof(f958,plain,
    p2(c6,sF7),
    inference(resolution,[],[f955,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f6,f1]) ).

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

fof(f6,axiom,
    ! [X0,X6,X7] :
      ( ~ p2(X0,X7)
      | ~ p2(X0,X6)
      | p2(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

fof(f955,plain,
    p2(sF7,c6),
    inference(resolution,[],[f929,f386]) ).

fof(f386,plain,
    ! [X0] :
      ( ~ p2(f3(X0,sF1),sF2)
      | p2(X0,c6) ),
    inference(superposition,[],[f8,f17]) ).

fof(f17,plain,
    sF2 = f3(c6,sF1),
    introduced(function_definition,[]) ).

fof(f8,axiom,
    ! [X10,X11,X12] :
      ( ~ p2(f3(X10,X12),f3(X11,X12))
      | p2(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

fof(f929,plain,
    p2(f3(sF7,sF1),sF2),
    inference(resolution,[],[f641,f4]) ).

fof(f4,axiom,
    ! [X2,X3] : p2(f3(X2,X3),f3(X3,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f641,plain,
    ! [X0] :
      ( ~ p2(f3(sF1,sF7),X0)
      | p2(X0,sF2) ),
    inference(resolution,[],[f637,f6]) ).

fof(f637,plain,
    p2(f3(sF1,sF7),sF2),
    inference(resolution,[],[f636,f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ p2(sF5,X0)
      | p2(X0,sF2) ),
    inference(resolution,[],[f90,f6]) ).

fof(f90,plain,
    p2(sF5,sF2),
    inference(resolution,[],[f64,f21]) ).

fof(f21,plain,
    p2(sF2,sF5),
    inference(definition_folding,[],[f12,f20,f19,f18,f16,f17,f16]) ).

fof(f16,plain,
    f5(c7) = sF1,
    introduced(function_definition,[]) ).

fof(f19,plain,
    f3(sF1,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f20,plain,
    sF5 = f3(c8,sF4),
    introduced(function_definition,[]) ).

fof(f12,axiom,
    p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

fof(f636,plain,
    p2(sF5,f3(sF1,sF7)),
    inference(forward_demodulation,[],[f635,f20]) ).

fof(f635,plain,
    p2(f3(c8,sF4),f3(sF1,sF7)),
    inference(superposition,[],[f598,f575]) ).

fof(f575,plain,
    ! [X7] : sF0(X7,sF1,sF3) = f3(X7,sF4),
    inference(superposition,[],[f14,f19]) ).

fof(f14,plain,
    ! [X14,X15,X13] : f3(X13,f3(X14,X15)) = sF0(X13,X14,X15),
    introduced(function_definition,[]) ).

fof(f598,plain,
    ! [X2] : p2(sF0(c8,X2,sF3),f3(X2,sF7)),
    inference(superposition,[],[f15,f574]) ).

fof(f574,plain,
    ! [X6] : sF0(X6,c8,sF3) = f3(X6,sF7),
    inference(superposition,[],[f14,f24]) ).

fof(f15,plain,
    ! [X14,X15,X13] : p2(sF0(X13,X14,X15),sF0(X14,X13,X15)),
    inference(definition_folding,[],[f10,f14,f14]) ).

fof(f10,axiom,
    ! [X14,X15,X13] : p2(f3(X13,f3(X14,X15)),f3(X14,f3(X13,X15))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN557-1 : 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
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:32:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.14/0.37  ipcrm: permission denied for id (474513408)
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% 0.20/0.49  ipcrm: permission denied for id (477626482)
% 0.20/0.50  ipcrm: permission denied for id (477659251)
% 0.20/0.50  ipcrm: permission denied for id (477692020)
% 0.20/0.50  ipcrm: permission denied for id (477757558)
% 0.20/0.50  ipcrm: permission denied for id (477790327)
% 0.20/0.50  ipcrm: permission denied for id (477855864)
% 0.20/0.50  ipcrm: permission denied for id (477888633)
% 0.20/0.50  ipcrm: permission denied for id (477921402)
% 0.20/0.51  ipcrm: permission denied for id (477954171)
% 0.20/0.51  ipcrm: permission denied for id (478019708)
% 0.20/0.51  ipcrm: permission denied for id (478052477)
% 0.20/0.51  ipcrm: permission denied for id (478085246)
% 0.20/0.51  ipcrm: permission denied for id (478118015)
% 0.74/0.64  % (21294)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 (2998ds/37Mi)
% 0.74/0.64  % (21302)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.74/0.65  % (21318)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 (2998ds/68Mi)
% 1.33/0.67  % (21303)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.40/0.68  % (21300)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.40/0.68  % (21293)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.40/0.68  % (21319)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 (2998ds/177Mi)
% 1.40/0.68  % (21300)Instruction limit reached!
% 1.40/0.68  % (21300)------------------------------
% 1.40/0.68  % (21300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.68  % (21300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.68  % (21300)Termination reason: Unknown
% 1.40/0.68  % (21300)Termination phase: Saturation
% 1.40/0.68  
% 1.40/0.68  % (21300)Memory used [KB]: 5373
% 1.40/0.68  % (21300)Time elapsed: 0.104 s
% 1.40/0.68  % (21300)Instructions burned: 2 (million)
% 1.40/0.68  % (21300)------------------------------
% 1.40/0.68  % (21300)------------------------------
% 1.40/0.68  % (21293)Refutation not found, incomplete strategy% (21293)------------------------------
% 1.40/0.68  % (21293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.68  % (21293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.68  % (21293)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.68  
% 1.40/0.68  % (21293)Memory used [KB]: 5373
% 1.40/0.68  % (21293)Time elapsed: 0.125 s
% 1.40/0.68  % (21293)Instructions burned: 1 (million)
% 1.40/0.68  % (21293)------------------------------
% 1.40/0.68  % (21293)------------------------------
% 1.40/0.69  % (21310)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.40/0.69  % (21298)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.40/0.69  % (21295)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.40/0.69  TRYING [1]
% 1.40/0.69  % (21317)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.40/0.69  TRYING [2]
% 1.40/0.69  % (21304)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.40/0.69  % (21297)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 (2998ds/48Mi)
% 1.40/0.69  % (21309)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.40/0.69  % (21307)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 (2998ds/75Mi)
% 1.40/0.69  % (21292)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 (2998ds/191324Mi)
% 1.40/0.69  % (21316)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.40/0.69  % (21305)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.40/0.69  TRYING [1]
% 1.40/0.69  TRYING [2]
% 1.40/0.69  TRYING [1]
% 1.40/0.69  TRYING [2]
% 1.40/0.69  TRYING [3]
% 1.40/0.70  TRYING [3]
% 1.40/0.70  % (21302)Instruction limit reached!
% 1.40/0.70  % (21302)------------------------------
% 1.40/0.70  % (21302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.70  % (21302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.70  % (21302)Termination reason: Unknown
% 1.40/0.70  % (21302)Termination phase: Saturation
% 1.40/0.70  
% 1.40/0.70  % (21302)Memory used [KB]: 5756
% 1.40/0.70  % (21302)Time elapsed: 0.151 s
% 1.40/0.70  % (21302)Instructions burned: 50 (million)
% 1.40/0.70  % (21302)------------------------------
% 1.40/0.70  % (21302)------------------------------
% 1.40/0.70  % (21296)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.40/0.70  % (21314)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 (2998ds/498Mi)
% 1.40/0.70  % (21301)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 (2998ds/51Mi)
% 1.40/0.70  % (21308)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 (2998ds/99Mi)
% 1.40/0.70  % (21321)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 (2998ds/355Mi)
% 1.40/0.71  % (21306)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 (2998ds/68Mi)
% 1.40/0.71  % (21299)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.40/0.71  % (21320)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.67/0.71  % (21303)First to succeed.
% 1.67/0.71  % (21294)Instruction limit reached!
% 1.67/0.71  % (21294)------------------------------
% 1.67/0.71  % (21294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.71  % (21294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.71  % (21294)Termination reason: Unknown
% 1.67/0.71  % (21294)Termination phase: Saturation
% 1.67/0.71  
% 1.67/0.71  % (21294)Memory used [KB]: 1023
% 1.67/0.71  % (21294)Time elapsed: 0.148 s
% 1.67/0.71  % (21294)Instructions burned: 39 (million)
% 1.67/0.71  % (21294)------------------------------
% 1.67/0.71  % (21294)------------------------------
% 1.67/0.71  % (21315)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 (2998ds/467Mi)
% 1.67/0.71  % (21311)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 (2998ds/100Mi)
% 1.67/0.71  TRYING [3]
% 1.67/0.71  % (21313)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.67/0.72  % (21299)Instruction limit reached!
% 1.67/0.72  % (21299)------------------------------
% 1.67/0.72  % (21299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.72  TRYING [4]
% 1.67/0.72  % (21312)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 (2998ds/176Mi)
% 1.67/0.72  TRYING [4]
% 1.67/0.73  % (21303)Refutation found. Thanks to Tanya!
% 1.67/0.73  % SZS status Unsatisfiable for theBenchmark
% 1.67/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.73  % (21303)------------------------------
% 1.67/0.73  % (21303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.73  % (21303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.73  % (21303)Termination reason: Refutation
% 1.67/0.73  
% 1.67/0.73  % (21303)Memory used [KB]: 5884
% 1.67/0.73  % (21303)Time elapsed: 0.155 s
% 1.67/0.73  % (21303)Instructions burned: 26 (million)
% 1.67/0.73  % (21303)------------------------------
% 1.67/0.73  % (21303)------------------------------
% 1.67/0.73  % (21158)Success in time 0.369 s
%------------------------------------------------------------------------------