TSTP Solution File: SYN649-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN649-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.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 09:04:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (   8 unt;   0 nHn;  22 RR)
%            Number of literals    :   38 (   0 equ;  19 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p23_26,negated_conjecture,
    p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29) ).

cnf(not_p23_38,negated_conjecture,
    ( ~ p23(f5(c24,c25),X87)
    | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X87),c29) ) ).

cnf(p23_39,negated_conjecture,
    ( p23(f5(c24,X49),f14(f22(c33,X50),X49))
    | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50) ) ).

cnf(p23_40,negated_conjecture,
    ( p23(f5(X45,f14(f16(f18(f20(c30,X46),X47),X45),X48)),X48)
    | ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ) ).

cnf(p23_41,negated_conjecture,
    ( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X50),X49)),X50)
    | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50) ) ).

cnf(p23_42,negated_conjecture,
    ( p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
    | ~ p23(f5(X45,X51),X48)
    | ~ p23(f5(f7(f10(c26,X46),X45),X47),X51) ) ).

cnf(p23_44,negated_conjecture,
    ( p23(f5(f7(f10(c26,X46),X45),X47),f14(f16(f18(f20(c30,X46),X47),X45),X48))
    | ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ) ).

cnf(refute_0_0,plain,
    ( ~ p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25))
    | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29) ),
    inference(subst,[],[not_p23_38:[bind(X87,$fot(f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)))]]) ).

cnf(refute_0_1,plain,
    ( ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29)
    | p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29) ),
    inference(subst,[],[p23_40:[bind(X45,$fot(c24)),bind(X46,$fot(f12(c27,c28))),bind(X47,$fot(c25)),bind(X48,$fot(c29))]]) ).

cnf(refute_0_2,plain,
    p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
    inference(resolve,[$cnf( p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29) )],[p23_26,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29))
    | p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) ),
    inference(subst,[],[p23_41:[bind(X49,$fot(c25)),bind(X50,$fot(f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)))]]) ).

cnf(refute_0_4,plain,
    ( ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29)
    | p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) ),
    inference(subst,[],[p23_44:[bind(X45,$fot(c24)),bind(X46,$fot(f12(c27,c28))),bind(X47,$fot(c25)),bind(X48,$fot(c29))]]) ).

cnf(refute_0_5,plain,
    p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
    inference(resolve,[$cnf( p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29) )],[p23_26,refute_0_4]) ).

cnf(refute_0_6,plain,
    p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
    inference(resolve,[$cnf( p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) )],[refute_0_5,refute_0_3]) ).

cnf(refute_0_7,plain,
    ( ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),X_226)
    | ~ p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29))
    | p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),X_226) ),
    inference(subst,[],[p23_42:[bind(X45,$fot(c24)),bind(X46,$fot(c28)),bind(X47,$fot(f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25))),bind(X48,$fot(X_226)),bind(X51,$fot(f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)))]]) ).

cnf(refute_0_8,plain,
    ( ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),X_226)
    | p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),X_226) ),
    inference(resolve,[$cnf( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29)
    | p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29) ),
    inference(subst,[],[refute_0_8:[bind(X_226,$fot(c29))]]) ).

cnf(refute_0_10,plain,
    p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
    inference(resolve,[$cnf( p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29) )],[refute_0_2,refute_0_9]) ).

cnf(refute_0_11,plain,
    ~ p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
    inference(resolve,[$cnf( p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29) )],[refute_0_10,refute_0_0]) ).

cnf(refute_0_12,plain,
    ( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29))
    | p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)) ),
    inference(subst,[],[p23_39:[bind(X49,$fot(c25)),bind(X50,$fot(f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)))]]) ).

cnf(refute_0_13,plain,
    p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
    inference(resolve,[$cnf( p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) )],[refute_0_5,refute_0_12]) ).

cnf(refute_0_14,plain,
    $false,
    inference(resolve,[$cnf( p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)) )],[refute_0_13,refute_0_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN649-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 20:23:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  
% 0.20/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.48  
%------------------------------------------------------------------------------