TSTP Solution File: SYN558-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN558-1 : 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 : n008.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 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (  16 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   58 (  30   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f707,plain,
    $false,
    inference(subsumption_resolution,[],[f700,f688]) ).

fof(f688,plain,
    ~ p5(c7,c9,f3(f3(c10))),
    inference(resolution,[],[f679,f8]) ).

fof(f8,axiom,
    ! [X5] :
      ( ~ p5(c7,c8,X5)
      | ~ p5(c7,c9,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_8) ).

fof(f679,plain,
    p5(c7,c8,f3(f3(c10))),
    inference(resolution,[],[f656,f22]) ).

fof(f22,plain,
    ! [X2,X3] :
      ( ~ p5(c7,f3(X2),X3)
      | p5(c7,X2,X3) ),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    ! [X2] : p5(c7,X2,f3(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).

fof(f11,axiom,
    ! [X10,X11,X12,X13] :
      ( ~ p5(X10,X11,X13)
      | ~ p5(X10,X13,X12)
      | p5(X10,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_11) ).

fof(f656,plain,
    p5(c7,f3(c8),f3(f3(c10))),
    inference(resolution,[],[f370,f2]) ).

fof(f2,axiom,
    ! [X1] : p4(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).

fof(f370,plain,
    ! [X18] :
      ( ~ p4(c7,X18)
      | p5(X18,f3(c8),f3(f3(c10))) ),
    inference(resolution,[],[f298,f163]) ).

fof(f163,plain,
    p2(f3(c10),f3(c8)),
    inference(subsumption_resolution,[],[f146,f3]) ).

fof(f3,axiom,
    ! [X2] : p6(c7,f3(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).

fof(f146,plain,
    ( ~ p6(c7,f3(c8))
    | p2(f3(c10),f3(c8)) ),
    inference(resolution,[],[f45,f26]) ).

fof(f26,plain,
    p5(c7,c10,f3(c8)),
    inference(resolution,[],[f21,f6]) ).

fof(f21,plain,
    ! [X1] :
      ( ~ p5(c7,c8,X1)
      | p5(c7,c10,X1) ),
    inference(resolution,[],[f11,f5]) ).

fof(f5,axiom,
    p5(c7,c10,c8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_5) ).

fof(f45,plain,
    ! [X6,X7] :
      ( ~ p5(c7,X6,X7)
      | ~ p6(c7,X7)
      | p2(f3(X6),X7) ),
    inference(subsumption_resolution,[],[f42,f3]) ).

fof(f42,plain,
    ! [X6,X7] :
      ( ~ p6(c7,f3(X6))
      | ~ p5(c7,X6,X7)
      | ~ p6(c7,X7)
      | p2(f3(X6),X7) ),
    inference(resolution,[],[f13,f6]) ).

fof(f13,axiom,
    ! [X18,X19,X20] :
      ( ~ p5(c7,X20,X18)
      | ~ p5(c7,X20,X19)
      | ~ p6(c7,X19)
      | ~ p6(c7,X18)
      | p2(X18,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).

fof(f298,plain,
    ! [X56,X54,X55] :
      ( ~ p2(X54,X55)
      | ~ p4(c7,X56)
      | p5(X56,X55,f3(X54)) ),
    inference(resolution,[],[f98,f1]) ).

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

fof(f98,plain,
    ! [X28,X29,X27,X30] :
      ( ~ p2(f3(X30),X29)
      | ~ p2(X30,X28)
      | ~ p4(c7,X27)
      | p5(X27,X28,X29) ),
    inference(resolution,[],[f14,f6]) ).

fof(f14,axiom,
    ! [X21,X26,X24,X22,X25,X23] :
      ( ~ p5(X26,X24,X25)
      | p5(X21,X22,X23)
      | ~ p4(X26,X21)
      | ~ p2(X25,X23)
      | ~ p2(X24,X22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).

fof(f700,plain,
    p5(c7,c9,f3(f3(c10))),
    inference(resolution,[],[f671,f22]) ).

fof(f671,plain,
    p5(c7,f3(c9),f3(f3(c10))),
    inference(resolution,[],[f371,f2]) ).

fof(f371,plain,
    ! [X19] :
      ( ~ p4(c7,X19)
      | p5(X19,f3(c9),f3(f3(c10))) ),
    inference(resolution,[],[f298,f173]) ).

fof(f173,plain,
    p2(f3(c10),f3(c9)),
    inference(subsumption_resolution,[],[f145,f3]) ).

fof(f145,plain,
    ( p2(f3(c10),f3(c9))
    | ~ p6(c7,f3(c9)) ),
    inference(resolution,[],[f45,f23]) ).

fof(f23,plain,
    p5(c7,c10,f3(c9)),
    inference(resolution,[],[f20,f6]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ p5(c7,c9,X0)
      | p5(c7,c10,X0) ),
    inference(resolution,[],[f11,f4]) ).

fof(f4,axiom,
    p5(c7,c10,c9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN558-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % 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 : n008.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 22:11:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (12509)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)
% 0.20/0.49  % (12517)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)
% 0.20/0.50  % (12514)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)
% 0.20/0.51  % (12502)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (12525)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)
% 0.20/0.51  % (12506)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (12522)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (12506)Instruction limit reached!
% 0.20/0.52  % (12506)------------------------------
% 0.20/0.52  % (12506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12498)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)
% 0.20/0.52  % (12506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (12506)Termination reason: Unknown
% 0.20/0.52  % (12506)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (12506)Memory used [KB]: 5373
% 0.20/0.52  % (12506)Time elapsed: 0.118 s
% 0.20/0.52  % (12506)Instructions burned: 3 (million)
% 0.20/0.52  % (12506)------------------------------
% 0.20/0.52  % (12506)------------------------------
% 0.20/0.52  % (12526)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (12523)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (12504)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)
% 0.20/0.53  % (12524)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  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (12503)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)
% 0.20/0.53  % (12499)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)
% 0.20/0.53  % (12500)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)
% 0.20/0.53  % (12520)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)
% 0.20/0.53  % (12501)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)
% 0.20/0.53  % (12505)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (12505)Instruction limit reached!
% 0.20/0.53  % (12505)------------------------------
% 0.20/0.53  % (12505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12518)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  % (12519)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (12515)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (12516)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (12521)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  TRYING [2]
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (12513)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)
% 0.20/0.54  % (12527)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)
% 0.20/0.54  % (12512)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)
% 0.20/0.54  % (12510)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  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (12507)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)
% 0.20/0.54  % (12508)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  TRYING [4]
% 0.20/0.54  TRYING [5]
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (12511)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  TRYING [6]
% 0.20/0.55  TRYING [5]
% 0.20/0.55  % (12499)Refutation not found, incomplete strategy% (12499)------------------------------
% 0.20/0.55  % (12499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12499)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (12499)Memory used [KB]: 5373
% 0.20/0.55  % (12499)Time elapsed: 0.134 s
% 0.20/0.55  % (12499)Instructions burned: 2 (million)
% 0.20/0.55  % (12499)------------------------------
% 0.20/0.55  % (12499)------------------------------
% 0.20/0.55  % (12505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12505)Termination reason: Unknown
% 0.20/0.55  % (12505)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12505)Memory used [KB]: 5500
% 0.20/0.55  % (12505)Time elapsed: 0.135 s
% 0.20/0.55  % (12505)Instructions burned: 8 (million)
% 0.20/0.55  % (12505)------------------------------
% 0.20/0.55  % (12505)------------------------------
% 0.20/0.55  TRYING [6]
% 0.20/0.56  TRYING [7]
% 0.20/0.56  % (12502)First to succeed.
% 0.20/0.56  TRYING [4]
% 0.20/0.56  % (12502)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (12502)------------------------------
% 0.20/0.56  % (12502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (12502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (12502)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (12502)Memory used [KB]: 5628
% 0.20/0.56  % (12502)Time elapsed: 0.150 s
% 0.20/0.56  % (12502)Instructions burned: 28 (million)
% 0.20/0.56  % (12502)------------------------------
% 0.20/0.56  % (12502)------------------------------
% 0.20/0.56  % (12497)Success in time 0.214 s
%------------------------------------------------------------------------------