TSTP Solution File: SYN687-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN687-1 : 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 19:39:16 EDT 2022

% Result   : Unsatisfiable 1.54s 0.54s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  11   ~;  21   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(avatar_sat_refutation,[],[f139,f143]) ).

fof(f143,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f140]) ).

fof(f140,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f138,f40]) ).

fof(f40,axiom,
    ! [X62] : ~ p4(f5(X62,f7(c38,X62)),f5(f9(c39,X62),f7(c38,X62))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_40) ).

fof(f138,plain,
    ( ! [X0] : p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl0_1
  <=> ! [X0] : p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f139,plain,
    ( spl0_1
    | spl0_1 ),
    inference(avatar_split_clause,[],[f135,f137,f137]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))
      | p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)) ),
    inference(subsumption_resolution,[],[f133,f19]) ).

fof(f19,axiom,
    p34(c36,c37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).

fof(f133,plain,
    ! [X0,X1] :
      ( p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))
      | p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
      | ~ p34(c36,c37) ),
    inference(resolution,[],[f129,f58]) ).

fof(f58,axiom,
    ! [X125,X122,X123] :
      ( ~ p4(f5(f9(X123,f26(f28(c46,X122),X123)),f30(f32(c45,X122),X123)),f5(f9(X123,f26(f28(c47,X122),X123)),f30(f32(c45,X122),X123)))
      | ~ p34(c36,X122)
      | p4(f5(f26(f28(c46,X122),X123),X125),f5(f9(X123,f26(f28(c46,X122),X123)),X125)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).

fof(f129,plain,
    ! [X0,X1] :
      ( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
      | p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
      | p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
      | p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1)) ),
    inference(resolution,[],[f123,f56]) ).

fof(f56,axiom,
    ! [X120,X121,X119] :
      ( ~ p4(f5(X119,f14(f16(f18(c40,X119),X121),X120)),f5(X121,f14(f16(f18(c40,X119),X121),X120)))
      | p4(f5(f9(c39,X119),X120),f5(f9(c39,X121),X120)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_56) ).

fof(f123,plain,
    ! [X2,X3,X0,X1] :
      ( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
      | p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))))
      | p4(f5(f9(c39,X2),f30(f32(c45,c37),X0)),f5(f9(c39,X3),f30(f32(c45,c37),X0))) ),
    inference(subsumption_resolution,[],[f122,f19]) ).

fof(f122,plain,
    ! [X2,X3,X0,X1] :
      ( p4(f5(f9(c39,X2),f30(f32(c45,c37),X0)),f5(f9(c39,X3),f30(f32(c45,c37),X0)))
      | p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X0))))
      | p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
      | ~ p34(c36,c37) ),
    inference(resolution,[],[f57,f55]) ).

fof(f55,axiom,
    ! [X120,X121,X119] :
      ( p35(f12(c37,f14(f16(f18(c40,X119),X121),X120)),X120)
      | p4(f5(f9(c39,X119),X120),f5(f9(c39,X121),X120)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_55) ).

fof(f57,axiom,
    ! [X124,X125,X122,X123] :
      ( ~ p35(f12(X122,X124),f30(f32(c45,X122),X123))
      | p4(f5(f26(f28(c46,X122),X123),X125),f5(f9(X123,f26(f28(c46,X122),X123)),X125))
      | ~ p34(c36,X122)
      | p4(f5(f26(f28(c46,X122),X123),X124),f5(f26(f28(c47,X122),X123),X124)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % 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 : n008.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 22:19:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  % (16310)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)
% 0.18/0.49  % (16302)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)
% 0.18/0.50  % (16307)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  % (16300)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)
% 0.18/0.51  % (16326)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)
% 0.18/0.51  % (16322)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)
% 0.18/0.51  % (16308)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)
% 0.18/0.51  % (16299)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)
% 0.18/0.51  % (16307)Instruction limit reached!
% 0.18/0.51  % (16307)------------------------------
% 0.18/0.51  % (16307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (16307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (16307)Termination reason: Unknown
% 0.18/0.51  % (16307)Termination phase: Blocked clause elimination
% 0.18/0.51  
% 0.18/0.51  % (16307)Memory used [KB]: 1023
% 0.18/0.51  % (16307)Time elapsed: 0.004 s
% 0.18/0.51  % (16307)Instructions burned: 4 (million)
% 0.18/0.51  % (16307)------------------------------
% 0.18/0.51  % (16307)------------------------------
% 0.18/0.51  % (16314)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)
% 0.18/0.52  % (16306)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (16318)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  % (16303)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  % (16324)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (16304)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  % (16305)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)
% 0.18/0.52  % (16323)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (16301)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)
% 0.18/0.53  % (16300)Refutation not found, incomplete strategy% (16300)------------------------------
% 0.18/0.53  % (16300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16300)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (16300)Memory used [KB]: 5500
% 0.18/0.53  % (16300)Time elapsed: 0.132 s
% 0.18/0.53  % (16300)Instructions burned: 3 (million)
% 0.18/0.53  % (16300)------------------------------
% 0.18/0.53  % (16300)------------------------------
% 0.18/0.53  % (16309)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (16327)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  % (16320)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (16321)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)
% 0.18/0.53  % (16306)Instruction limit reached!
% 0.18/0.53  % (16306)------------------------------
% 0.18/0.53  % (16306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16319)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)
% 0.18/0.54  % (16325)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)
% 0.18/0.54  % (16306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16306)Termination reason: Unknown
% 0.18/0.54  % (16306)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16306)Memory used [KB]: 5628
% 0.18/0.54  % (16306)Time elapsed: 0.100 s
% 0.18/0.54  % (16306)Instructions burned: 9 (million)
% 0.18/0.54  % (16306)------------------------------
% 0.18/0.54  % (16306)------------------------------
% 0.18/0.54  % (16328)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)
% 0.18/0.54  % (16313)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)
% 0.18/0.54  % (16311)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (16303)First to succeed.
% 1.54/0.54  % (16317)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.54  % (16303)Refutation found. Thanks to Tanya!
% 1.54/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.54  % (16303)------------------------------
% 1.54/0.54  % (16303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.54  % (16303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.54  % (16303)Termination reason: Refutation
% 1.54/0.54  
% 1.54/0.54  % (16303)Memory used [KB]: 5500
% 1.54/0.54  % (16303)Time elapsed: 0.136 s
% 1.54/0.54  % (16303)Instructions burned: 7 (million)
% 1.54/0.54  % (16303)------------------------------
% 1.54/0.54  % (16303)------------------------------
% 1.54/0.54  % (16298)Success in time 0.198 s
%------------------------------------------------------------------------------