TSTP Solution File: SYO634-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : n016.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 19:48:45 EDT 2022

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   75 (  11 unt;   0 def)
%            Number of atoms       :  349 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  563 ( 289   ~; 274   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  10 avg)
%            Maximal term depth    :   14 (   4 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :  342 ( 342   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(resolution,[],[f86,f66]) ).

fof(f66,plain,
    ! [X0] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X0)),s(s('0'))),
    inference(resolution,[],[f65,f50]) ).

fof(f50,plain,
    ! [X0] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X0)),s(s(s('0')))),
    inference(resolution,[],[f49,f43]) ).

fof(f43,plain,
    ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))),
    inference(subsumption_resolution,[],[f42,f9]) ).

fof(f9,axiom,
    ! [X1] : 'E'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17_09) ).

fof(f42,plain,
    ! [X10,X0] :
      ( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f41,f32]) ).

fof(f32,plain,
    ! [X1] : 'E'(f(X1),s(s(s(s(s(s('0'))))))),
    inference(subsumption_resolution,[],[f31,f9]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( 'E'(f(X1),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    inference(subsumption_resolution,[],[f30,f28]) ).

fof(f28,plain,
    ! [X1] : 'E'(f(X1),s(s(s(s(s(s(s('0')))))))),
    inference(subsumption_resolution,[],[f27,f25]) ).

fof(f25,plain,
    ! [X1] : 'E'(f(X1),s(s(s(s(s(s(s(s('0'))))))))),
    inference(subsumption_resolution,[],[f24,f3]) ).

fof(f3,axiom,
    ! [X11] : 'E'(f(X11),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_03) ).

fof(f24,plain,
    ! [X1] :
      ( 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    inference(subsumption_resolution,[],[f1,f9]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21_01) ).

fof(f27,plain,
    ! [X2,X1] :
      ( ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | 'E'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
    inference(subsumption_resolution,[],[f26,f9]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    inference(subsumption_resolution,[],[f14,f3]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_14) ).

fof(f30,plain,
    ! [X0,X1,X7] :
      ( 'E'(f(X1),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    inference(subsumption_resolution,[],[f29,f25]) ).

fof(f29,plain,
    ! [X2,X0,X1,X7] :
      ( ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | 'E'(f(X1),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    inference(subsumption_resolution,[],[f6,f3]) ).

fof(f6,axiom,
    ! [X2,X0,X1,X7] :
      ( 'E'(f(X1),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_06) ).

fof(f41,plain,
    ! [X10,X0,X9] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0')))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    inference(subsumption_resolution,[],[f40,f3]) ).

fof(f40,plain,
    ! [X10,X0,X1,X9] :
      ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f39,f37]) ).

fof(f37,plain,
    ! [X1] : 'E'(f(X1),s(s(s(s(s('0')))))),
    inference(subsumption_resolution,[],[f36,f25]) ).

fof(f36,plain,
    ! [X2,X1] :
      ( 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    inference(subsumption_resolution,[],[f35,f28]) ).

fof(f35,plain,
    ! [X2,X1,X7] :
      ( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | 'E'(f(X1),s(s(s(s(s('0')))))) ),
    inference(subsumption_resolution,[],[f34,f32]) ).

fof(f34,plain,
    ! [X2,X1,X9,X7] :
      ( ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | 'E'(f(X1),s(s(s(s(s('0')))))) ),
    inference(subsumption_resolution,[],[f33,f3]) ).

fof(f33,plain,
    ! [X2,X1,X9,X7] :
      ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0')))))))) ),
    inference(subsumption_resolution,[],[f20,f9]) ).

fof(f20,axiom,
    ! [X2,X0,X1,X9,X7] :
      ( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0')))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15_20) ).

fof(f39,plain,
    ! [X3,X10,X0,X1,X9] :
      ( ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f38,f25]) ).

fof(f38,plain,
    ! [X2,X3,X10,X0,X1,X9] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0')))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    inference(subsumption_resolution,[],[f12,f28]) ).

fof(f12,axiom,
    ! [X2,X3,X10,X0,X1,X9,X7] :
      ( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0')))))
      | ~ 'E'(f(X3),s(s(s(s(s('0')))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9_12) ).

fof(f49,plain,
    ! [X10,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f48,f25]) ).

fof(f48,plain,
    ! [X2,X10,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X5),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f47,f28]) ).

fof(f47,plain,
    ! [X2,X10,X7,X5] :
      ( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X5),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f46,f3]) ).

fof(f46,plain,
    ! [X2,X10,X1,X7,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f45,f32]) ).

fof(f45,plain,
    ! [X2,X10,X1,X9,X7,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f44,f9]) ).

fof(f44,plain,
    ! [X2,X10,X0,X1,X9,X7,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    inference(subsumption_resolution,[],[f15,f37]) ).

fof(f15,axiom,
    ! [X2,X3,X10,X0,X1,X9,X7,X5] :
      ( ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18_15) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X1),s(s(s('0'))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X0)),s(s('0'))) ),
    inference(resolution,[],[f64,f43]) ).

fof(f64,plain,
    ! [X10,X8,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
      | ~ 'E'(f(X8),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f63,f28]) ).

fof(f63,plain,
    ! [X10,X8,X7,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X8),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f62,f9]) ).

fof(f62,plain,
    ! [X10,X0,X8,X7,X5] :
      ( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0')))))))) ),
    inference(subsumption_resolution,[],[f61,f32]) ).

fof(f61,plain,
    ! [X10,X0,X8,X9,X7,X5] :
      ( ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
    inference(subsumption_resolution,[],[f60,f37]) ).

fof(f60,plain,
    ! [X3,X10,X0,X8,X9,X7,X5] :
      ( ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0'))))))) ),
    inference(subsumption_resolution,[],[f59,f25]) ).

fof(f59,plain,
    ! [X2,X3,X10,X0,X8,X9,X7,X5] :
      ( ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0')))))) ),
    inference(subsumption_resolution,[],[f19,f3]) ).

fof(f19,axiom,
    ! [X2,X3,X10,X0,X1,X8,X9,X7,X5] :
      ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_19) ).

fof(f86,plain,
    ! [X0] : ~ 'E'(f(X0),s(s('0'))),
    inference(resolution,[],[f85,f50]) ).

fof(f85,plain,
    ! [X2,X0] :
      ( ~ 'E'(f(X0),s(s(s('0'))))
      | ~ 'E'(f(X2),s(s('0'))) ),
    inference(subsumption_resolution,[],[f74,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X0),s(s('0')))
      | ~ 'E'(f(X1),s('0')) ),
    inference(resolution,[],[f82,f50]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(f(X0),s(s(s('0'))))
      | ~ 'E'(f(X2),s(s('0')))
      | ~ 'E'(f(X1),s('0')) ),
    inference(resolution,[],[f81,f43]) ).

fof(f81,plain,
    ! [X8,X6,X4,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X6),s(s('0'))) ),
    inference(subsumption_resolution,[],[f80,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X1),s('0'))
      | ~ 'E'(f(X0),'0') ),
    inference(resolution,[],[f66,f58]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(f(X2),s(s('0')))
      | ~ 'E'(f(X0),'0')
      | ~ 'E'(f(X1),s('0')) ),
    inference(resolution,[],[f57,f50]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X3),'0')
      | ~ 'E'(f(X1),s('0'))
      | ~ 'E'(f(X0),s(s('0'))) ),
    inference(resolution,[],[f56,f43]) ).

fof(f56,plain,
    ! [X8,X6,X4,X5,X12] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X12),'0') ),
    inference(subsumption_resolution,[],[f55,f25]) ).

fof(f55,plain,
    ! [X2,X8,X6,X4,X5,X12] :
      ( ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X12),'0')
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X5),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f54,f9]) ).

fof(f54,plain,
    ! [X2,X0,X8,X6,X4,X5,X12] :
      ( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X12),'0')
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X8),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f53,f32]) ).

fof(f53,plain,
    ! [X2,X0,X8,X6,X9,X4,X5,X12] :
      ( ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X12),'0')
      | ~ 'E'(f(X6),s(s('0'))) ),
    inference(subsumption_resolution,[],[f52,f37]) ).

fof(f52,plain,
    ! [X2,X3,X0,X8,X6,X9,X4,X5,X12] :
      ( ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X12),'0')
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X8),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f51,f28]) ).

fof(f51,plain,
    ! [X2,X3,X0,X8,X6,X9,X7,X4,X5,X12] :
      ( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X12),'0')
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X5),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f17,f3]) ).

fof(f17,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5,X12] :
      ( ~ 'E'(f(X12),'0')
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X8),s(s(s('0')))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3_17) ).

fof(f80,plain,
    ! [X10,X8,X6,X4,X5] :
      ( ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X4),s('0'))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
    inference(subsumption_resolution,[],[f79,f37]) ).

fof(f79,plain,
    ! [X3,X10,X8,X6,X4,X5] :
      ( ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
    inference(subsumption_resolution,[],[f78,f25]) ).

fof(f78,plain,
    ! [X2,X3,X10,X8,X6,X4,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
      | ~ 'E'(f(X4),s('0')) ),
    inference(subsumption_resolution,[],[f77,f28]) ).

fof(f77,plain,
    ! [X2,X3,X10,X8,X6,X7,X4,X5] :
      ( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X4),s('0')) ),
    inference(subsumption_resolution,[],[f76,f3]) ).

fof(f76,plain,
    ! [X2,X3,X10,X1,X8,X6,X7,X4,X5] :
      ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    inference(subsumption_resolution,[],[f75,f9]) ).

fof(f75,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0')))))))) ),
    inference(subsumption_resolution,[],[f22,f32]) ).

fof(f22,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_22) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(f(X0),s(s(s('0'))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X1)),s('0'))
      | ~ 'E'(f(X2),s(s('0'))) ),
    inference(resolution,[],[f73,f43]) ).

fof(f73,plain,
    ! [X10,X8,X6,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
      | ~ 'E'(f(X6),s(s('0'))) ),
    inference(subsumption_resolution,[],[f72,f3]) ).

fof(f72,plain,
    ! [X10,X1,X8,X6,X5] :
      ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X6),s(s('0'))) ),
    inference(subsumption_resolution,[],[f71,f25]) ).

fof(f71,plain,
    ! [X2,X10,X1,X8,X6,X5] :
      ( ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
    inference(subsumption_resolution,[],[f70,f32]) ).

fof(f70,plain,
    ! [X2,X10,X1,X8,X6,X9,X5] :
      ( ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X5),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f69,f28]) ).

fof(f69,plain,
    ! [X2,X10,X1,X8,X6,X9,X7,X5] :
      ( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X5),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f68,f37]) ).

fof(f68,plain,
    ! [X2,X3,X10,X1,X8,X6,X9,X7,X5] :
      ( ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X8),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f11,f9]) ).

fof(f11,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X5] :
      ( ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X6),s(s('0'))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 23:31:16 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.46  % (19412)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)
% 0.15/0.46  % (19421)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)
% 0.15/0.47  % (19430)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)
% 0.15/0.47  % (19412)First to succeed.
% 0.15/0.47  % (19421)Instruction limit reached!
% 0.15/0.47  % (19421)------------------------------
% 0.15/0.47  % (19421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (19430)Also succeeded, but the first one will report.
% 0.15/0.48  % (19421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (19421)Termination reason: Unknown
% 0.15/0.48  % (19421)Termination phase: Finite model building preprocessing
% 0.15/0.48  
% 0.15/0.48  % (19421)Memory used [KB]: 1407
% 0.15/0.48  % (19421)Time elapsed: 0.009 s
% 0.15/0.48  % (19421)Instructions burned: 7 (million)
% 0.15/0.48  % (19421)------------------------------
% 0.15/0.48  % (19421)------------------------------
% 0.15/0.48  % (19412)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (19412)------------------------------
% 0.15/0.48  % (19412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (19412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (19412)Termination reason: Refutation
% 0.15/0.48  
% 0.15/0.48  % (19412)Memory used [KB]: 1407
% 0.15/0.48  % (19412)Time elapsed: 0.104 s
% 0.15/0.48  % (19412)Instructions burned: 4 (million)
% 0.15/0.48  % (19412)------------------------------
% 0.15/0.48  % (19412)------------------------------
% 0.15/0.48  % (19405)Success in time 0.161 s
%------------------------------------------------------------------------------