TSTP Solution File: SYN557-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 : Thu Jul 21 09:04:00 EDT 2022

% Result   : Unsatisfiable 0.69s 0.86s
% Output   : CNFRefutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   44 (  23 unt;   0 nHn;  26 RR)
%            Number of literals    :   69 (   0 equ;  26 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   58 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X3,X3) ).

cnf(not_p2_3,negated_conjecture,
    ~ p2(c6,f3(c8,f5(c9))) ).

cnf(p2_4,negated_conjecture,
    p2(f3(X10,X11),f3(X11,X10)) ).

cnf(p2_6,negated_conjecture,
    ( p2(X4,X5)
    | ~ p2(X3,X4)
    | ~ p2(X3,X5) ) ).

cnf(p2_8,negated_conjecture,
    ( p2(X0,X1)
    | ~ p2(f3(X0,X2),f3(X1,X2)) ) ).

cnf(p2_9,negated_conjecture,
    ( p2(f3(X0,X2),f3(X1,X2))
    | ~ p2(X0,X1) ) ).

cnf(p2_11,negated_conjecture,
    p2(f3(f3(X12,X13),X14),f3(X12,f3(X13,X14))) ).

cnf(p2_12,negated_conjecture,
    p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))) ).

cnf(refute_0_0,plain,
    p2(X_43,X_43),
    inference(subst,[],[p2_1:[bind(X3,$fot(X_43))]]) ).

cnf(refute_0_1,plain,
    ( ~ p2(X_43,X_42)
    | ~ p2(X_43,X_43)
    | p2(X_42,X_43) ),
    inference(subst,[],[p2_6:[bind(X3,$fot(X_43)),bind(X4,$fot(X_42)),bind(X5,$fot(X_43))]]) ).

cnf(refute_0_2,plain,
    ( ~ p2(X_43,X_42)
    | p2(X_42,X_43) ),
    inference(resolve,[$cnf( p2(X_43,X_43) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p2(f3(c8,f5(c9)),c6)
    | p2(c6,f3(c8,f5(c9))) ),
    inference(subst,[],[refute_0_2:[bind(X_42,$fot(c6)),bind(X_43,$fot(f3(c8,f5(c9))))]]) ).

cnf(refute_0_4,plain,
    ( ~ p2(f3(f3(c8,f5(c9)),f5(c7)),f3(c6,f5(c7)))
    | p2(f3(c8,f5(c9)),c6) ),
    inference(subst,[],[p2_8:[bind(X0,$fot(f3(c8,f5(c9)))),bind(X1,$fot(c6)),bind(X2,$fot(f5(c7)))]]) ).

cnf(refute_0_5,plain,
    ( ~ p2(f3(X10,X11),f3(X11,X10))
    | p2(f3(f3(X10,X11),X_24),f3(f3(X11,X10),X_24)) ),
    inference(subst,[],[p2_9:[bind(X0,$fot(f3(X10,X11))),bind(X1,$fot(f3(X11,X10))),bind(X2,$fot(X_24))]]) ).

cnf(refute_0_6,plain,
    p2(f3(f3(X10,X11),X_24),f3(f3(X11,X10),X_24)),
    inference(resolve,[$cnf( p2(f3(X10,X11),f3(X11,X10)) )],[p2_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p2(f3(f3(X10,X11),X_24),X_43)
    | ~ p2(f3(f3(X10,X11),X_24),f3(f3(X11,X10),X_24))
    | p2(f3(f3(X11,X10),X_24),X_43) ),
    inference(subst,[],[p2_6:[bind(X3,$fot(f3(f3(X10,X11),X_24))),bind(X4,$fot(f3(f3(X11,X10),X_24))),bind(X5,$fot(X_43))]]) ).

cnf(refute_0_8,plain,
    ( ~ p2(f3(f3(X10,X11),X_24),X_43)
    | p2(f3(f3(X11,X10),X_24),X_43) ),
    inference(resolve,[$cnf( p2(f3(f3(X10,X11),X_24),f3(f3(X11,X10),X_24)) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ p2(f3(f3(f5(c9),c8),f5(c7)),f3(c6,f5(c7)))
    | p2(f3(f3(c8,f5(c9)),f5(c7)),f3(c6,f5(c7))) ),
    inference(subst,[],[refute_0_8:[bind(X10,$fot(f5(c9))),bind(X11,$fot(c8)),bind(X_24,$fot(f5(c7))),bind(X_43,$fot(f3(c6,f5(c7))))]]) ).

cnf(refute_0_10,plain,
    ( ~ p2(f3(f3(f3(f5(c9),c8),f5(c7)),X_207),f3(f3(c6,f5(c7)),X_207))
    | p2(f3(f3(f5(c9),c8),f5(c7)),f3(c6,f5(c7))) ),
    inference(subst,[],[p2_8:[bind(X0,$fot(f3(f3(f5(c9),c8),f5(c7)))),bind(X1,$fot(f3(c6,f5(c7)))),bind(X2,$fot(X_207))]]) ).

cnf(refute_0_11,plain,
    ( ~ p2(f3(f3(f5(c7),f3(f5(c9),c8)),X_206),f3(f3(c6,f5(c7)),X_206))
    | p2(f3(f3(f3(f5(c9),c8),f5(c7)),X_206),f3(f3(c6,f5(c7)),X_206)) ),
    inference(subst,[],[refute_0_8:[bind(X10,$fot(f5(c7))),bind(X11,$fot(f3(f5(c9),c8))),bind(X_24,$fot(X_206)),bind(X_43,$fot(f3(f3(c6,f5(c7)),X_206)))]]) ).

cnf(refute_0_12,plain,
    ( ~ p2(f3(f5(c7),f3(f5(c9),c8)),f3(c6,f5(c7)))
    | p2(f3(f3(f5(c7),f3(f5(c9),c8)),X2),f3(f3(c6,f5(c7)),X2)) ),
    inference(subst,[],[p2_9:[bind(X0,$fot(f3(f5(c7),f3(f5(c9),c8)))),bind(X1,$fot(f3(c6,f5(c7))))]]) ).

cnf(refute_0_13,plain,
    ( ~ p2(f3(f3(f3(f5(c7),f5(c9)),c8),X_96),f3(f3(c6,f5(c7)),X_96))
    | p2(f3(f3(f5(c7),f5(c9)),c8),f3(c6,f5(c7))) ),
    inference(subst,[],[p2_8:[bind(X0,$fot(f3(f3(f5(c7),f5(c9)),c8))),bind(X1,$fot(f3(c6,f5(c7)))),bind(X2,$fot(X_96))]]) ).

cnf(refute_0_14,plain,
    ( ~ p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9))))
    | p2(f3(f3(c6,f5(c7)),X_24),f3(f3(c8,f3(f5(c7),f5(c9))),X_24)) ),
    inference(subst,[],[p2_9:[bind(X0,$fot(f3(c6,f5(c7)))),bind(X1,$fot(f3(c8,f3(f5(c7),f5(c9))))),bind(X2,$fot(X_24))]]) ).

cnf(refute_0_15,plain,
    p2(f3(f3(c6,f5(c7)),X_24),f3(f3(c8,f3(f5(c7),f5(c9))),X_24)),
    inference(resolve,[$cnf( p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))) )],[p2_12,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ p2(f3(f3(c6,f5(c7)),X_24),f3(f3(c8,f3(f5(c7),f5(c9))),X_24))
    | p2(f3(f3(c8,f3(f5(c7),f5(c9))),X_24),f3(f3(c6,f5(c7)),X_24)) ),
    inference(subst,[],[refute_0_2:[bind(X_42,$fot(f3(f3(c8,f3(f5(c7),f5(c9))),X_24))),bind(X_43,$fot(f3(f3(c6,f5(c7)),X_24)))]]) ).

cnf(refute_0_17,plain,
    p2(f3(f3(c8,f3(f5(c7),f5(c9))),X_24),f3(f3(c6,f5(c7)),X_24)),
    inference(resolve,[$cnf( p2(f3(f3(c6,f5(c7)),X_24),f3(f3(c8,f3(f5(c7),f5(c9))),X_24)) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    p2(f3(f3(c8,f3(f5(c7),f5(c9))),X_94),f3(f3(c6,f5(c7)),X_94)),
    inference(subst,[],[refute_0_17:[bind(X_24,$fot(X_94))]]) ).

cnf(refute_0_19,plain,
    ( ~ p2(f3(f3(c8,f3(f5(c7),f5(c9))),X_94),f3(f3(c6,f5(c7)),X_94))
    | p2(f3(f3(f3(f5(c7),f5(c9)),c8),X_94),f3(f3(c6,f5(c7)),X_94)) ),
    inference(subst,[],[refute_0_8:[bind(X10,$fot(c8)),bind(X11,$fot(f3(f5(c7),f5(c9)))),bind(X_24,$fot(X_94)),bind(X_43,$fot(f3(f3(c6,f5(c7)),X_94)))]]) ).

cnf(refute_0_20,plain,
    p2(f3(f3(f3(f5(c7),f5(c9)),c8),X_94),f3(f3(c6,f5(c7)),X_94)),
    inference(resolve,[$cnf( p2(f3(f3(c8,f3(f5(c7),f5(c9))),X_94),f3(f3(c6,f5(c7)),X_94)) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    p2(f3(f3(f3(f5(c7),f5(c9)),c8),X_96),f3(f3(c6,f5(c7)),X_96)),
    inference(subst,[],[refute_0_20:[bind(X_94,$fot(X_96))]]) ).

cnf(refute_0_22,plain,
    p2(f3(f3(f5(c7),f5(c9)),c8),f3(c6,f5(c7))),
    inference(resolve,[$cnf( p2(f3(f3(f3(f5(c7),f5(c9)),c8),X_96),f3(f3(c6,f5(c7)),X_96)) )],[refute_0_21,refute_0_13]) ).

cnf(refute_0_23,plain,
    ( ~ p2(f3(f3(X12,X13),X14),X_43)
    | ~ p2(f3(f3(X12,X13),X14),f3(X12,f3(X13,X14)))
    | p2(f3(X12,f3(X13,X14)),X_43) ),
    inference(subst,[],[p2_6:[bind(X3,$fot(f3(f3(X12,X13),X14))),bind(X4,$fot(f3(X12,f3(X13,X14)))),bind(X5,$fot(X_43))]]) ).

cnf(refute_0_24,plain,
    ( ~ p2(f3(f3(X12,X13),X14),X_43)
    | p2(f3(X12,f3(X13,X14)),X_43) ),
    inference(resolve,[$cnf( p2(f3(f3(X12,X13),X14),f3(X12,f3(X13,X14))) )],[p2_11,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ p2(f3(f3(f5(c7),f5(c9)),c8),f3(c6,f5(c7)))
    | p2(f3(f5(c7),f3(f5(c9),c8)),f3(c6,f5(c7))) ),
    inference(subst,[],[refute_0_24:[bind(X12,$fot(f5(c7))),bind(X13,$fot(f5(c9))),bind(X14,$fot(c8)),bind(X_43,$fot(f3(c6,f5(c7))))]]) ).

cnf(refute_0_26,plain,
    p2(f3(f5(c7),f3(f5(c9),c8)),f3(c6,f5(c7))),
    inference(resolve,[$cnf( p2(f3(f3(f5(c7),f5(c9)),c8),f3(c6,f5(c7))) )],[refute_0_22,refute_0_25]) ).

cnf(refute_0_27,plain,
    p2(f3(f3(f5(c7),f3(f5(c9),c8)),X2),f3(f3(c6,f5(c7)),X2)),
    inference(resolve,[$cnf( p2(f3(f5(c7),f3(f5(c9),c8)),f3(c6,f5(c7))) )],[refute_0_26,refute_0_12]) ).

cnf(refute_0_28,plain,
    p2(f3(f3(f5(c7),f3(f5(c9),c8)),X_206),f3(f3(c6,f5(c7)),X_206)),
    inference(subst,[],[refute_0_27:[bind(X2,$fot(X_206))]]) ).

cnf(refute_0_29,plain,
    p2(f3(f3(f3(f5(c9),c8),f5(c7)),X_206),f3(f3(c6,f5(c7)),X_206)),
    inference(resolve,[$cnf( p2(f3(f3(f5(c7),f3(f5(c9),c8)),X_206),f3(f3(c6,f5(c7)),X_206)) )],[refute_0_28,refute_0_11]) ).

cnf(refute_0_30,plain,
    p2(f3(f3(f3(f5(c9),c8),f5(c7)),X_207),f3(f3(c6,f5(c7)),X_207)),
    inference(subst,[],[refute_0_29:[bind(X_206,$fot(X_207))]]) ).

cnf(refute_0_31,plain,
    p2(f3(f3(f5(c9),c8),f5(c7)),f3(c6,f5(c7))),
    inference(resolve,[$cnf( p2(f3(f3(f3(f5(c9),c8),f5(c7)),X_207),f3(f3(c6,f5(c7)),X_207)) )],[refute_0_30,refute_0_10]) ).

cnf(refute_0_32,plain,
    p2(f3(f3(c8,f5(c9)),f5(c7)),f3(c6,f5(c7))),
    inference(resolve,[$cnf( p2(f3(f3(f5(c9),c8),f5(c7)),f3(c6,f5(c7))) )],[refute_0_31,refute_0_9]) ).

cnf(refute_0_33,plain,
    p2(f3(c8,f5(c9)),c6),
    inference(resolve,[$cnf( p2(f3(f3(c8,f5(c9)),f5(c7)),f3(c6,f5(c7))) )],[refute_0_32,refute_0_4]) ).

cnf(refute_0_34,plain,
    p2(c6,f3(c8,f5(c9))),
    inference(resolve,[$cnf( p2(f3(c8,f5(c9)),c6) )],[refute_0_33,refute_0_3]) ).

cnf(refute_0_35,plain,
    $false,
    inference(resolve,[$cnf( p2(c6,f3(c8,f5(c9))) )],[refute_0_34,not_p2_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n008.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  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 08:00:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.69/0.86  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.86  
% 0.69/0.86  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.69/0.87  
%------------------------------------------------------------------------------