TSTP Solution File: SYN574-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN574-1 : 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 : n003.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 19:27:47 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (   8 unt;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  151 (  84   ~;  64   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(unit_resulting_resolution,[],[f7,f3,f58,f16]) ).

fof(f16,axiom,
    ! [X2,X18,X17] :
      ( p3(X17,X18)
      | ~ p3(X2,X17)
      | ~ p3(X2,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).

fof(f58,plain,
    ~ p3(f4(c14),f4(f5(c14))),
    inference(subsumption_resolution,[],[f56,f5]) ).

fof(f5,axiom,
    p9(c12,c13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).

fof(f56,plain,
    ( ~ p9(c12,c13)
    | ~ p3(f4(c14),f4(f5(c14))) ),
    inference(resolution,[],[f52,f10]) ).

fof(f10,axiom,
    ! [X6] :
      ( p9(X6,f4(c14))
      | ~ p9(X6,c13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_10) ).

fof(f52,plain,
    ! [X0] :
      ( ~ p9(c12,X0)
      | ~ p3(X0,f4(f5(c14))) ),
    inference(resolution,[],[f51,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ p7(X0,c12)
      | ~ p3(X1,f4(f5(c14)))
      | ~ p9(X0,X1) ),
    inference(subsumption_resolution,[],[f49,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ p3(X1,f4(f5(c14)))
      | ~ p9(X0,X1)
      | ~ p2(f5(c14),f5(c14))
      | ~ p7(X0,c12) ),
    inference(resolution,[],[f48,f6]) ).

fof(f6,axiom,
    p11(c14,c15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ p11(X0,c15)
      | ~ p2(f5(c14),f5(X0))
      | ~ p7(X1,c12)
      | ~ p3(X2,f4(f5(c14)))
      | ~ p9(X1,X2) ),
    inference(resolution,[],[f47,f23]) ).

fof(f23,plain,
    ! [X28,X26,X27] :
      ( sP0(X27,X26)
      | ~ p3(X28,X26)
      | ~ p9(X27,X28) ),
    inference(cnf_transformation,[],[f23_D]) ).

fof(f23_D,plain,
    ! [X26,X27] :
      ( ! [X28] :
          ( ~ p3(X28,X26)
          | ~ p9(X27,X28) )
    <=> ~ sP0(X27,X26) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ sP0(X1,f4(f5(c14)))
      | ~ p11(X0,c15)
      | ~ p2(f5(c14),f5(X0))
      | ~ p7(X1,c12) ),
    inference(resolution,[],[f45,f24]) ).

fof(f24,plain,
    ! [X26,X27,X25] :
      ( p9(X25,X26)
      | ~ p7(X27,X25)
      | ~ sP0(X27,X26) ),
    inference(general_splitting,[],[f19,f23_D]) ).

fof(f19,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p3(X28,X26)
      | ~ p7(X27,X25)
      | ~ p9(X27,X28)
      | p9(X25,X26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).

fof(f45,plain,
    ! [X0] :
      ( ~ p9(c12,f4(f5(c14)))
      | ~ p11(X0,c15)
      | ~ p2(f5(c14),f5(X0)) ),
    inference(resolution,[],[f44,f25]) ).

fof(f25,plain,
    ! [X34,X35] :
      ( sP1(X34)
      | ~ p2(X34,f5(X35))
      | ~ p11(X35,c15) ),
    inference(cnf_transformation,[],[f25_D]) ).

fof(f25_D,plain,
    ! [X34] :
      ( ! [X35] :
          ( ~ p2(X34,f5(X35))
          | ~ p11(X35,c15) )
    <=> ~ sP1(X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f44,plain,
    ( ~ sP1(f5(c14))
    | ~ p9(c12,f4(f5(c14))) ),
    inference(subsumption_resolution,[],[f43,f26]) ).

fof(f26,plain,
    ! [X34,X33] :
      ( p9(f8(X33,X34),f4(X34))
      | p9(f8(X33,X34),X33)
      | ~ p9(c12,X33)
      | ~ sP1(X34) ),
    inference(general_splitting,[],[f21,f25_D]) ).

fof(f21,axiom,
    ! [X34,X35,X33] :
      ( ~ p9(c12,X33)
      | p9(f8(X33,X34),X33)
      | p9(f8(X33,X34),f4(X34))
      | ~ p2(X34,f5(X35))
      | ~ p11(X35,c15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_21) ).

fof(f43,plain,
    ( ~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14)))
    | ~ sP1(f5(c14))
    | ~ p9(c12,f4(f5(c14))) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f40,plain,
    ( ~ p9(c12,f4(f5(c14)))
    | ~ sP1(f5(c14))
    | ~ p9(c12,f4(f5(c14)))
    | ~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) ),
    inference(resolution,[],[f36,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( p9(f8(f4(X0),X0),f4(X0))
      | ~ sP1(X0)
      | ~ p9(c12,f4(X0)) ),
    inference(factoring,[],[f26]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ p9(f8(X0,f5(c14)),f4(f5(c14)))
      | ~ p9(f8(X0,f5(c14)),X0)
      | ~ p9(c12,X0) ),
    inference(resolution,[],[f34,f4]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ p2(X1,f5(c14))
      | ~ p9(c12,X0)
      | ~ p9(f8(X0,X1),X0)
      | ~ p9(f8(X0,X1),f4(X1)) ),
    inference(resolution,[],[f33,f6]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ p11(X2,c15)
      | ~ p9(f8(X0,X1),X0)
      | ~ p9(c12,X0)
      | ~ p2(X1,f5(X2))
      | ~ p9(f8(X0,X1),f4(X1)) ),
    inference(resolution,[],[f30,f29]) ).

fof(f29,plain,
    ! [X34,X35] :
      ( sP3(X34)
      | ~ p11(X35,c15)
      | ~ p2(X34,f5(X35)) ),
    inference(cnf_transformation,[],[f29_D]) ).

fof(f29_D,plain,
    ! [X34] :
      ( ! [X35] :
          ( ~ p11(X35,c15)
          | ~ p2(X34,f5(X35)) )
    <=> ~ sP3(X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f30,plain,
    ! [X34,X33] :
      ( ~ sP3(X34)
      | ~ p9(c12,X33)
      | ~ p9(f8(X33,X34),X33)
      | ~ p9(f8(X33,X34),f4(X34)) ),
    inference(general_splitting,[],[f22,f29_D]) ).

fof(f22,axiom,
    ! [X34,X35,X33] :
      ( ~ p9(c12,X33)
      | ~ p9(f8(X33,X34),f4(X34))
      | ~ p11(X35,c15)
      | ~ p9(f8(X33,X34),X33)
      | ~ p2(X34,f5(X35)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_22) ).

fof(f3,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).

fof(f7,axiom,
    ! [X4] : p3(f4(f5(X4)),f4(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.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 22:17:08 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (1430)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)
% 0.19/0.49  % (1441)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)
% 0.19/0.49  % (1419)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49  % (1433)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)
% 0.19/0.49  % (1445)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)
% 0.19/0.49  % (1425)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49  % (1421)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)
% 0.19/0.50  % (1433)First to succeed.
% 0.19/0.50  % (1421)Instruction limit reached!
% 0.19/0.50  % (1421)------------------------------
% 0.19/0.50  % (1421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (1421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (1421)Termination reason: Unknown
% 0.19/0.50  % (1421)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (1437)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)
% 0.19/0.50  % (1420)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)
% 0.19/0.50  % (1433)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (1433)------------------------------
% 0.19/0.50  % (1433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (1433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (1433)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (1433)Memory used [KB]: 1407
% 0.19/0.50  % (1433)Time elapsed: 0.060 s
% 0.19/0.50  % (1433)Instructions burned: 5 (million)
% 0.19/0.50  % (1433)------------------------------
% 0.19/0.50  % (1433)------------------------------
% 0.19/0.50  % (1418)Success in time 0.158 s
% 0.19/0.50  % (1421)Memory used [KB]: 5884
%------------------------------------------------------------------------------