TSTP Solution File: SYN609-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN609-1 : 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_uns --cores 0 -t %d %s

% Computer : n014.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 19:27:53 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  28   ~;  18   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,plain,
    $false,
    inference(unit_resulting_resolution,[],[f4,f27,f87,f19]) ).

fof(f19,axiom,
    ! [X2,X24,X23] :
      ( p3(X23,X24)
      | ~ p3(X2,X23)
      | ~ p3(X2,X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).

fof(f87,plain,
    ! [X0] : ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)),
    inference(subsumption_resolution,[],[f85,f4]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))
      | ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)) ),
    inference(resolution,[],[f83,f24]) ).

fof(f24,axiom,
    ! [X40,X38,X39,X37] :
      ( p3(f10(X37,X38),f10(X39,X40))
      | ~ p3(X38,X40)
      | ~ p3(X37,X39) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).

fof(f83,plain,
    ! [X0] : ~ p3(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))),f10(f14(f4(f9(c19)),c19),f12(X0,c21))),
    inference(resolution,[],[f73,f12]) ).

fof(f12,axiom,
    ! [X10,X9] :
      ( p2(f9(X9),f9(X10))
      | ~ p3(X9,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

fof(f73,plain,
    ! [X4] : ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(X4,c21)))),
    inference(subsumption_resolution,[],[f72,f2]) ).

fof(f2,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).

fof(f72,plain,
    ! [X4] :
      ( ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
      | ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(X4,c21)))) ),
    inference(resolution,[],[f62,f29]) ).

fof(f29,axiom,
    p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( ~ p17(X0,X2)
      | ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))))
      | ~ p2(X2,f6(f7(f8(c20)))) ),
    inference(resolution,[],[f53,f31]) ).

fof(f31,plain,
    ! [X28,X26,X27] :
      ( sP0(X27,X26)
      | ~ p17(X27,X28)
      | ~ p2(X28,X26) ),
    inference(cnf_transformation,[],[f31_D]) ).

fof(f31_D,plain,
    ! [X26,X27] :
      ( ! [X28] :
          ( ~ p17(X27,X28)
          | ~ p2(X28,X26) )
    <=> ~ sP0(X27,X26) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,f6(f7(f8(c20))))
      | ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21)))) ),
    inference(resolution,[],[f28,f32]) ).

fof(f32,plain,
    ! [X26,X27,X25] :
      ( p17(X25,X26)
      | ~ p2(X27,X25)
      | ~ sP0(X27,X26) ),
    inference(general_splitting,[],[f20,f31_D]) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p17(X27,X28)
      | ~ p2(X28,X26)
      | ~ p2(X27,X25)
      | p17(X25,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).

fof(f28,axiom,
    ! [X49] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X49,c21))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_28) ).

fof(f27,axiom,
    p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).

fof(f4,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN609-1 : 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_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.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 22:11:47 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (6796)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.49  % (6803)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (6803)Instruction limit reached!
% 0.18/0.49  % (6803)------------------------------
% 0.18/0.49  % (6803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (6803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (6803)Termination reason: Unknown
% 0.18/0.49  % (6803)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (6803)Memory used [KB]: 5884
% 0.18/0.49  % (6803)Time elapsed: 0.094 s
% 0.18/0.49  % (6803)Instructions burned: 4 (million)
% 0.18/0.49  % (6803)------------------------------
% 0.18/0.49  % (6803)------------------------------
% 0.18/0.49  % (6821)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.18/0.49  % (6819)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.50  % (6804)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (6806)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.50  % (6805)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.50  % (6805)Instruction limit reached!
% 0.18/0.50  % (6805)------------------------------
% 0.18/0.50  % (6805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (6805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (6805)Termination reason: Unknown
% 0.18/0.50  % (6805)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (6805)Memory used [KB]: 6012
% 0.18/0.50  % (6805)Time elapsed: 0.104 s
% 0.18/0.50  % (6805)Instructions burned: 6 (million)
% 0.18/0.50  % (6805)------------------------------
% 0.18/0.50  % (6805)------------------------------
% 0.18/0.50  % (6800)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51  % (6799)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.51  % (6795)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (6813)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.51  % (6817)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.51  % (6802)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (6822)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.52  % (6823)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.52  % (6798)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.52  % (6797)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.52  % (6818)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (6797)Instruction limit reached!
% 0.18/0.52  % (6797)------------------------------
% 0.18/0.52  % (6797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (6797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6797)Termination reason: Unknown
% 0.18/0.52  % (6797)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (6797)Memory used [KB]: 5884
% 0.18/0.52  % (6797)Time elapsed: 0.128 s
% 0.18/0.52  % (6797)Instructions burned: 5 (million)
% 0.18/0.52  % (6797)------------------------------
% 0.18/0.52  % (6797)------------------------------
% 0.18/0.52  % (6809)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.52  % (6814)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (6815)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.53  % (6810)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.53  % (6809)First to succeed.
% 0.18/0.53  % (6814)Instruction limit reached!
% 0.18/0.53  % (6814)------------------------------
% 0.18/0.53  % (6814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6815)Instruction limit reached!
% 0.18/0.53  % (6815)------------------------------
% 0.18/0.53  % (6815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (6815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (6814)Termination reason: Unknown
% 0.18/0.53  % (6814)Termination phase: Saturation
% 0.18/0.53  % (6815)Termination reason: Unknown
% 0.18/0.53  
% 0.18/0.53  % (6815)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (6814)Memory used [KB]: 5884
% 0.18/0.53  % (6814)Time elapsed: 0.142 s
% 0.18/0.53  % (6815)Memory used [KB]: 1407
% 0.18/0.53  % (6814)Instructions burned: 7 (million)
% 0.18/0.53  % (6815)Time elapsed: 0.140 s
% 0.18/0.53  % (6814)------------------------------
% 0.18/0.53  % (6814)------------------------------
% 0.18/0.53  % (6815)Instructions burned: 6 (million)
% 0.18/0.53  % (6815)------------------------------
% 0.18/0.53  % (6815)------------------------------
% 0.18/0.53  % (6809)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (6809)------------------------------
% 0.18/0.53  % (6809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (6809)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (6809)Memory used [KB]: 1407
% 0.18/0.53  % (6809)Time elapsed: 0.097 s
% 0.18/0.53  % (6809)Instructions burned: 9 (million)
% 0.18/0.53  % (6809)------------------------------
% 0.18/0.53  % (6809)------------------------------
% 0.18/0.53  % (6794)Success in time 0.187 s
%------------------------------------------------------------------------------