TSTP Solution File: COL064-10 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : COL064-10 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n018.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  : 600s
% DateTime : Fri Jul 15 00:41:19 EDT 2022

% Result   : Unsatisfiable 190.18s 24.29s
% Output   : Proof 190.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),z),apply(apply(z,x),y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_combinator)]) ).

cnf(g1,plain,
    sPE(apply(apply(t,x),z),apply(z,x)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g2,plain,
    sPE(y,y),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    sPE(apply(apply(t,y),apply(apply(t,x),z)),apply(apply(apply(t,x),z),y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g4,plain,
    sPE(apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x)),apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g5,plain,
    sPE(z,z),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ sPE(apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x)),apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y))
    | sPE(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    sPE(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g8,plain,
    sPE(apply(apply(apply(b,apply(t,y)),apply(t,x)),z),apply(apply(t,y),apply(apply(t,x),z))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g9,plain,
    sPE(apply(t,y),apply(t,y)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(apply(apply(t,z),t),apply(t,z)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g11,plain,
    ( ~ sPE(apply(apply(t,x),z),apply(z,x))
    | sPE(apply(z,x),apply(apply(t,x),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(apply(apply(t,y),apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x))),apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g13,plain,
    ( ~ sPE(apply(z,x),apply(apply(t,x),z))
    | ~ sPE(y,y)
    | sPE(apply(apply(z,x),y),apply(apply(apply(t,x),z),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    sPE(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),t),apply(t,x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g15,plain,
    sPE(apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),t),apply(t,x))),apply(apply(apply(apply(b,b),t),apply(t,x)),apply(apply(b,b),t))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g16,plain,
    ( ~ sPE(apply(apply(z,x),y),apply(apply(apply(t,x),z),y))
    | sPE(apply(apply(apply(t,x),z),y),apply(apply(z,x),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(apply(t,y),apply(t,y))
    | ~ sPE(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)))
    | sPE(apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x)),apply(apply(t,y),apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(apply(apply(t,y),apply(apply(t,x),z)),apply(apply(apply(t,x),z),y))
    | ~ sPE(apply(apply(apply(t,x),z),y),apply(apply(z,x),y))
    | sPE(apply(apply(t,y),apply(apply(t,x),z)),apply(apply(z,x),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    sPE(apply(t,x),apply(t,x)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    sPE(apply(apply(t,t),apply(t,z)),apply(apply(t,z),t)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g21,plain,
    ( ~ sPE(apply(apply(t,t),apply(t,z)),apply(apply(t,z),t))
    | ~ sPE(apply(apply(t,z),t),apply(t,z))
    | sPE(apply(apply(t,t),apply(t,z)),apply(t,z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(apply(apply(t,y),apply(apply(t,x),z)),apply(apply(z,x),y))
    | sPE(apply(apply(z,x),y),apply(apply(t,y),apply(apply(t,x),z))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    sPE(apply(apply(apply(b,b),t),y),apply(b,apply(t,y))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g24,plain,
    ( ~ sPE(apply(apply(apply(b,apply(t,y)),apply(t,x)),z),apply(apply(t,y),apply(apply(t,x),z)))
    | sPE(apply(apply(t,y),apply(apply(t,x),z)),apply(apply(apply(b,apply(t,y)),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    sPE(apply(apply(apply(b,b),t),apply(t,x)),apply(b,apply(t,apply(t,x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g26,plain,
    ( ~ sPE(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),t),apply(t,x))))
    | ~ sPE(apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),t),apply(t,x))),apply(apply(apply(apply(b,b),t),apply(t,x)),apply(apply(b,b),t)))
    | sPE(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),apply(apply(apply(apply(b,b),t),apply(t,x)),apply(apply(b,b),t))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    sPE(apply(apply(b,b),t),apply(apply(b,b),t)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ sPE(apply(apply(apply(b,b),t),apply(t,x)),apply(b,apply(t,apply(t,x))))
    | ~ sPE(apply(apply(b,b),t),apply(apply(b,b),t))
    | sPE(apply(apply(apply(apply(b,b),t),apply(t,x)),apply(apply(b,b),t)),apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ sPE(apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x)),apply(apply(t,y),apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x))))
    | ~ sPE(apply(apply(t,y),apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x))),apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y))
    | sPE(apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x)),apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    ( ~ sPE(apply(apply(t,t),apply(t,z)),apply(t,z))
    | sPE(apply(t,z),apply(apply(t,t),apply(t,z))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    ( ~ sPE(apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)),apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z))
    | sPE(apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z),apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    sPE(apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)),apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g33,plain,
    sPE(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),apply(apply(t,apply(t,x)),apply(apply(apply(b,b),t),y))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g34,plain,
    sPE(apply(apply(t,apply(t,x)),apply(apply(apply(b,b),t),y)),apply(apply(apply(apply(b,b),t),y),apply(t,x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g35,plain,
    ( ~ sPE(apply(apply(z,x),y),apply(apply(t,y),apply(apply(t,x),z)))
    | ~ sPE(apply(apply(t,y),apply(apply(t,x),z)),apply(apply(apply(b,apply(t,y)),apply(t,x)),z))
    | sPE(apply(apply(z,x),y),apply(apply(apply(b,apply(t,y)),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    ( ~ sPE(apply(t,z),apply(apply(t,t),apply(t,z)))
    | ~ sPE(apply(apply(t,t),apply(t,z)),apply(apply(t,z),t))
    | sPE(apply(t,z),apply(apply(t,z),t)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g37,plain,
    ( ~ sPE(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x)))
    | ~ sPE(apply(apply(t,y),apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x)),apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y))
    | sPE(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g38,plain,
    ( ~ sPE(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),apply(apply(apply(apply(b,b),t),apply(t,x)),apply(apply(b,b),t)))
    | ~ sPE(apply(apply(apply(apply(b,b),t),apply(t,x)),apply(apply(b,b),t)),apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)))
    | sPE(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g39,plain,
    ( ~ sPE(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),apply(apply(t,apply(t,x)),apply(apply(apply(b,b),t),y)))
    | ~ sPE(apply(apply(t,apply(t,x)),apply(apply(apply(b,b),t),y)),apply(apply(apply(apply(b,b),t),y),apply(t,x)))
    | sPE(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),apply(apply(apply(apply(b,b),t),y),apply(t,x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g40,plain,
    ( ~ sPE(apply(apply(apply(b,b),t),y),apply(b,apply(t,y)))
    | ~ sPE(apply(t,x),apply(t,x))
    | sPE(apply(apply(apply(apply(b,b),t),y),apply(t,x)),apply(apply(b,apply(t,y)),apply(t,x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g41,plain,
    ( ~ sPE(apply(apply(z,x),y),apply(apply(apply(b,apply(t,y)),apply(t,x)),z))
    | ~ sPE(apply(apply(apply(b,apply(t,y)),apply(t,x)),z),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z))
    | sPE(apply(apply(z,x),y),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g42,plain,
    ( ~ sPE(apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z),apply(apply(apply(b,apply(t,y)),apply(t,x)),z))
    | sPE(apply(apply(apply(b,apply(t,y)),apply(t,x)),z),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g43,plain,
    ( ~ sPE(apply(apply(apply(apply(b,b),t),y),apply(t,x)),apply(apply(b,apply(t,y)),apply(t,x)))
    | ~ sPE(z,z)
    | sPE(apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z),apply(apply(apply(b,apply(t,y)),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g44,plain,
    sPE(apply(apply(t,z),apply(apply(apply(apply(b,b),t),y),apply(t,x))),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition)]) ).

cnf(g45,plain,
    ( ~ sPE(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y))
    | ~ sPE(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y))
    | sPE(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g46,plain,
    ( ~ sPE(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)))
    | ~ sPE(y,y)
    | sPE(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),apply(t,x)),y),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g47,plain,
    ( ~ sPE(apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),z),apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z))
    | ~ sPE(apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z),apply(apply(z,x),y))
    | sPE(apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),z),apply(apply(z,x),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g48,plain,
    ( ~ sPE(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y))
    | ~ sPE(z,z)
    | sPE(apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),t),x),y),z),apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g49,plain,
    ( ~ sPE(apply(t,z),apply(apply(t,z),t))
    | ~ sPE(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),apply(apply(apply(apply(b,b),t),y),apply(t,x)))
    | sPE(apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)),apply(apply(apply(t,z),t),apply(apply(apply(apply(b,b),t),y),apply(t,x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g50,plain,
    sPE(apply(apply(apply(apply(b,b),t),y),apply(t,x)),apply(apply(apply(apply(b,b),t),y),apply(t,x))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g51,plain,
    ( ~ sPE(apply(apply(t,z),t),apply(t,z))
    | ~ sPE(apply(apply(apply(apply(b,b),t),y),apply(t,x)),apply(apply(apply(apply(b,b),t),y),apply(t,x)))
    | sPE(apply(apply(apply(t,z),t),apply(apply(apply(apply(b,b),t),y),apply(t,x))),apply(apply(t,z),apply(apply(apply(apply(b,b),t),y),apply(t,x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g52,plain,
    ( ~ sPE(apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z))
    | ~ sPE(apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z),apply(apply(z,x),y))
    | sPE(apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z),apply(apply(z,x),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g53,plain,
    ( ~ sPE(apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z),apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)))
    | ~ sPE(apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z))
    | sPE(apply(apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y),z),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g54,plain,
    ( ~ sPE(apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)),apply(apply(apply(t,z),t),apply(apply(apply(apply(b,b),t),y),apply(t,x))))
    | ~ sPE(apply(apply(apply(t,z),t),apply(apply(apply(apply(b,b),t),y),apply(t,x))),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z))
    | sPE(apply(apply(t,z),apply(apply(apply(b,apply(t,apply(t,x))),apply(apply(b,b),t)),y)),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g55,plain,
    ( ~ sPE(apply(apply(apply(t,z),t),apply(apply(apply(apply(b,b),t),y),apply(t,x))),apply(apply(t,z),apply(apply(apply(apply(b,b),t),y),apply(t,x))))
    | ~ sPE(apply(apply(t,z),apply(apply(apply(apply(b,b),t),y),apply(t,x))),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z))
    | sPE(apply(apply(apply(t,z),t),apply(apply(apply(apply(b,b),t),y),apply(t,x))),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g56,plain,
    ( ~ sPE(apply(apply(z,x),y),apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z))
    | sPE(apply(apply(apply(apply(apply(b,b),t),y),apply(t,x)),z),apply(apply(z,x),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL064-10 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n018.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  : 600
% 0.12/0.33  % DateTime : Tue May 31 06:59:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 190.18/24.29  % symbols: 8
% 190.18/24.29  % clauses: 7
% 190.18/24.29  % start clauses: 1
% 190.18/24.29  % iterative deepening steps: 12224
% 190.18/24.29  % maximum path limit: 7
% 190.18/24.29  % literal attempts: 12344619
% 190.18/24.29  % depth failures: 5589353
% 190.18/24.29  % regularity failures: 1316167
% 190.18/24.29  % tautology failures: 1960750
% 190.18/24.29  % reductions: 0
% 190.18/24.29  % extensions: 12332407
% 190.18/24.29  % SAT variables: 1130934
% 190.18/24.29  % SAT clauses: 2250265
% 190.18/24.29  % WalkSAT solutions: 2250263
% 190.18/24.29  % CDCL solutions: 0
% 190.18/24.29  % SZS status Unsatisfiable for theBenchmark
% 190.18/24.29  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------