TSTP Solution File: SYN077-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n012.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 19:25:28 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   71 (   5 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   88 (  43   ~;  45   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(subsumption_resolution,[],[f61,f45]) ).

fof(f45,plain,
    big_f(a,a),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f44,plain,
    ( big_f(a,a)
    | big_f(a,a) ),
    inference(resolution,[],[f33,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( big_f(X0,h(X0))
      | big_f(X0,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f33,plain,
    ! [X0] :
      ( ~ big_f(a,h(X0))
      | big_f(X0,a) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ big_f(a,h(X0))
      | ~ big_f(a,h(X0))
      | big_f(X0,a)
      | big_f(X0,a) ),
    inference(resolution,[],[f30,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( big_f(i(X1,X0),X0)
      | ~ big_f(X0,h(X1))
      | big_f(X1,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f30,plain,
    ! [X3,X4] :
      ( ~ big_f(i(X3,X4),a)
      | ~ big_f(X4,h(X3))
      | big_f(X3,a) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f27,plain,
    ! [X3,X4] :
      ( big_f(X3,a)
      | big_f(X3,a)
      | ~ big_f(X4,h(X3))
      | ~ big_f(i(X3,X4),a) ),
    inference(resolution,[],[f21,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( big_f(i(X0,X1),h(X0))
      | big_f(X0,a)
      | ~ big_f(X1,h(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,h(X1))
      | big_f(X1,a)
      | ~ big_f(X0,a) ),
    inference(subsumption_resolution,[],[f20,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_f(g(X0,X1),X1)
      | ~ big_f(X0,X1)
      | ~ big_f(X0,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,h(X1))
      | ~ big_f(X0,a)
      | ~ big_f(g(X0,h(X1)),h(X1))
      | big_f(X1,a) ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ big_f(g(X0,h(X1)),h(X1))
      | ~ big_f(g(X0,h(X1)),h(X1))
      | big_f(X1,a)
      | ~ big_f(X0,h(X1))
      | big_f(X1,a)
      | ~ big_f(X0,a) ),
    inference(resolution,[],[f10,f7]) ).

fof(f10,plain,
    ! [X3,X4,X5] :
      ( ~ big_f(i(X5,g(X3,X4)),X4)
      | ~ big_f(X3,a)
      | big_f(X5,a)
      | ~ big_f(g(X3,X4),h(X5))
      | ~ big_f(X3,X4) ),
    inference(resolution,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ big_f(X2,g(X0,X1))
      | ~ big_f(X0,X1)
      | ~ big_f(X0,a)
      | ~ big_f(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f61,plain,
    ~ big_f(a,a),
    inference(resolution,[],[f60,f8]) ).

fof(f8,plain,
    ! [X1] : big_f(X1,f(X1)),
    inference(equality_resolution,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( big_f(X0,f(X1))
      | X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f60,plain,
    ! [X2] :
      ( ~ big_f(X2,f(a))
      | ~ big_f(X2,a) ),
    inference(subsumption_resolution,[],[f59,f45]) ).

fof(f59,plain,
    ! [X2] :
      ( ~ big_f(X2,a)
      | ~ big_f(X2,f(a))
      | ~ big_f(a,a) ),
    inference(subsumption_resolution,[],[f55,f8]) ).

fof(f55,plain,
    ! [X2] :
      ( ~ big_f(X2,f(a))
      | ~ big_f(a,f(a))
      | ~ big_f(X2,a)
      | ~ big_f(a,a) ),
    inference(superposition,[],[f4,f51]) ).

fof(f51,plain,
    a = g(a,f(a)),
    inference(resolution,[],[f45,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ big_f(X0,a)
      | g(X0,f(X0)) = X0 ),
    inference(resolution,[],[f12,f8]) ).

fof(f12,plain,
    ! [X2,X1] :
      ( ~ big_f(X1,f(X2))
      | ~ big_f(X1,a)
      | g(X1,f(X2)) = X2 ),
    inference(resolution,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,f(X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:27:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (5565)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51  % (5573)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51  % (5573)Instruction limit reached!
% 0.21/0.51  % (5573)------------------------------
% 0.21/0.51  % (5573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (5574)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)
% 0.21/0.52  % (5573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (5573)Termination reason: Unknown
% 0.21/0.52  % (5573)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (5573)Memory used [KB]: 5884
% 0.21/0.52  % (5573)Time elapsed: 0.104 s
% 0.21/0.52  % (5573)Instructions burned: 3 (million)
% 0.21/0.52  % (5573)------------------------------
% 0.21/0.52  % (5573)------------------------------
% 0.21/0.52  % (5567)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)
% 0.21/0.52  % (5561)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)
% 0.21/0.52  % (5562)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)
% 0.21/0.52  % (5586)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)
% 0.21/0.52  % (5562)Refutation not found, incomplete strategy% (5562)------------------------------
% 0.21/0.52  % (5562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (5562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (5562)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (5562)Memory used [KB]: 5756
% 0.21/0.52  % (5562)Time elapsed: 0.125 s
% 0.21/0.52  % (5562)Instructions burned: 1 (million)
% 0.21/0.52  % (5562)------------------------------
% 0.21/0.52  % (5562)------------------------------
% 0.21/0.53  % (5564)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)
% 0.21/0.53  % (5575)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)
% 0.21/0.53  % (5564)Refutation not found, incomplete strategy% (5564)------------------------------
% 0.21/0.53  % (5564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (5564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (5564)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (5564)Memory used [KB]: 5756
% 0.21/0.53  % (5564)Time elapsed: 0.126 s
% 0.21/0.53  % (5564)Instructions burned: 1 (million)
% 0.21/0.53  % (5564)------------------------------
% 0.21/0.53  % (5564)------------------------------
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  TRYING [3]
% 0.21/0.53  % (5563)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)
% 0.21/0.53  % (5575)Instruction limit reached!
% 0.21/0.53  % (5575)------------------------------
% 0.21/0.53  % (5575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (5575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (5575)Termination reason: Unknown
% 0.21/0.53  % (5575)Termination phase: Finite model building constraint generation
% 0.21/0.53  
% 0.21/0.53  % (5575)Memory used [KB]: 5884
% 0.21/0.53  % (5575)Time elapsed: 0.090 s
% 0.21/0.53  % (5575)Instructions burned: 7 (million)
% 0.21/0.53  % (5575)------------------------------
% 0.21/0.53  % (5575)------------------------------
% 0.21/0.53  % (5566)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)
% 0.21/0.53  % (5581)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.53  % (5563)First to succeed.
% 0.21/0.53  % (5581)Refutation not found, incomplete strategy% (5581)------------------------------
% 0.21/0.53  % (5581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (5566)Also succeeded, but the first one will report.
% 0.21/0.53  % (5563)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (5563)------------------------------
% 0.21/0.53  % (5563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (5563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (5563)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (5563)Memory used [KB]: 5884
% 0.21/0.53  % (5563)Time elapsed: 0.125 s
% 0.21/0.53  % (5563)Instructions burned: 3 (million)
% 0.21/0.53  % (5563)------------------------------
% 0.21/0.53  % (5563)------------------------------
% 0.21/0.53  % (5559)Success in time 0.178 s
%------------------------------------------------------------------------------