TSTP Solution File: SYN706-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 09:04:54 EDT 2022

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   31 (  15 unt;   0 nHn;  15 RR)
%            Number of literals    :   57 (   0 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  10 con; 0-2 aty)
%            Number of variables   :   52 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p47_5,negated_conjecture,
    p47(X143,X143) ).

cnf(p36_11,negated_conjecture,
    p36(X88,X88) ).

cnf(p45_27,negated_conjecture,
    p45(f20(c52,c50),c58) ).

cnf(not_p48_29,negated_conjecture,
    ~ p48(f38(f40(c59,c50),c58),c60) ).

cnf(p48_57,negated_conjecture,
    ( p48(X146,X147)
    | ~ p47(X149,X147)
    | ~ p48(X148,X149)
    | ~ p37(X148,X146) ) ).

cnf(p7_59,negated_conjecture,
    p7(f8(f11(c54,f14(f17(c55,X166),f35(X167,X166))),X167),X167) ).

cnf(p37_67,negated_conjecture,
    ( p37(f38(X98,X99),f38(X100,X101))
    | ~ p36(X98,X100)
    | ~ p7(X99,X101) ) ).

cnf(p46_78,negated_conjecture,
    ( p46(f23(c53,f35(X137,X142)),f5(c49,X136))
    | ~ p45(f20(c52,X136),X137) ) ).

cnf(p48_81,negated_conjecture,
    ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X150)),X151)),c60)
    | ~ p45(f20(c52,c50),X151)
    | ~ p46(f23(c53,X150),f5(c49,c50)) ) ).

cnf(refute_0_0,plain,
    p7(f8(f11(c54,f14(f17(c55,X166),f35(X_369,X166))),X_369),X_369),
    inference(subst,[],[p7_59:[bind(X167,$fot(X_369))]]) ).

cnf(refute_0_1,plain,
    p36(X_364,X_364),
    inference(subst,[],[p36_11:[bind(X88,$fot(X_364))]]) ).

cnf(refute_0_2,plain,
    ( ~ p36(X_364,X_364)
    | ~ p7(X_367,X_365)
    | p37(f38(X_364,X_367),f38(X_364,X_365)) ),
    inference(subst,[],[p37_67:[bind(X100,$fot(X_364)),bind(X101,$fot(X_365)),bind(X98,$fot(X_364)),bind(X99,$fot(X_367))]]) ).

cnf(refute_0_3,plain,
    ( ~ p7(X_367,X_365)
    | p37(f38(X_364,X_367),f38(X_364,X_365)) ),
    inference(resolve,[$cnf( p36(X_364,X_364) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ p7(f8(f11(c54,f14(f17(c55,X166),f35(X_369,X166))),X_369),X_369)
    | p37(f38(X_368,f8(f11(c54,f14(f17(c55,X166),f35(X_369,X166))),X_369)),f38(X_368,X_369)) ),
    inference(subst,[],[refute_0_3:[bind(X_364,$fot(X_368)),bind(X_365,$fot(X_369)),bind(X_367,$fot(f8(f11(c54,f14(f17(c55,X166),f35(X_369,X166))),X_369)))]]) ).

cnf(refute_0_5,plain,
    p37(f38(X_368,f8(f11(c54,f14(f17(c55,X166),f35(X_369,X166))),X_369)),f38(X_368,X_369)),
    inference(resolve,[$cnf( p7(f8(f11(c54,f14(f17(c55,X166),f35(X_369,X166))),X_369),X_369) )],[refute_0_0,refute_0_4]) ).

cnf(refute_0_6,plain,
    p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58)),f38(f40(c59,c50),c58)),
    inference(subst,[],[refute_0_5:[bind(X166,$fot(c61)),bind(X_368,$fot(f40(c59,c50))),bind(X_369,$fot(c58))]]) ).

cnf(refute_0_7,plain,
    p47(X_697,X_697),
    inference(subst,[],[p47_5:[bind(X143,$fot(X_697))]]) ).

cnf(refute_0_8,plain,
    ( ~ p37(X_698,X_696)
    | ~ p47(X_697,X_697)
    | ~ p48(X_698,X_697)
    | p48(X_696,X_697) ),
    inference(subst,[],[p48_57:[bind(X146,$fot(X_696)),bind(X147,$fot(X_697)),bind(X148,$fot(X_698)),bind(X149,$fot(X_697))]]) ).

cnf(refute_0_9,plain,
    ( ~ p37(X_698,X_696)
    | ~ p48(X_698,X_697)
    | p48(X_696,X_697) ),
    inference(resolve,[$cnf( p47(X_697,X_697) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_738))),c58)),X_696)
    | ~ p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_738))),c58)),c60)
    | p48(X_696,c60) ),
    inference(subst,[],[refute_0_9:[bind(X_697,$fot(c60)),bind(X_698,$fot(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_738))),c58))))]]) ).

cnf(refute_0_11,plain,
    ( ~ p45(f20(c52,c50),c58)
    | p46(f23(c53,f35(c58,X_168)),f5(c49,c50)) ),
    inference(subst,[],[p46_78:[bind(X136,$fot(c50)),bind(X137,$fot(c58)),bind(X142,$fot(X_168))]]) ).

cnf(refute_0_12,plain,
    p46(f23(c53,f35(c58,X_168)),f5(c49,c50)),
    inference(resolve,[$cnf( p45(f20(c52,c50),c58) )],[p45_27,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ p45(f20(c52,c50),X_735)
    | ~ p46(f23(c53,f35(c58,X_168)),f5(c49,c50))
    | p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_168))),X_735)),c60) ),
    inference(subst,[],[p48_81:[bind(X150,$fot(f35(c58,X_168))),bind(X151,$fot(X_735))]]) ).

cnf(refute_0_14,plain,
    ( ~ p45(f20(c52,c50),X_735)
    | p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_168))),X_735)),c60) ),
    inference(resolve,[$cnf( p46(f23(c53,f35(c58,X_168)),f5(c49,c50)) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ p45(f20(c52,c50),c58)
    | p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_736))),c58)),c60) ),
    inference(subst,[],[refute_0_14:[bind(X_168,$fot(X_736)),bind(X_735,$fot(c58))]]) ).

cnf(refute_0_16,plain,
    p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_736))),c58)),c60),
    inference(resolve,[$cnf( p45(f20(c52,c50),c58) )],[p45_27,refute_0_15]) ).

cnf(refute_0_17,plain,
    p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_738))),c58)),c60),
    inference(subst,[],[refute_0_16:[bind(X_736,$fot(X_738))]]) ).

cnf(refute_0_18,plain,
    ( ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_738))),c58)),X_696)
    | p48(X_696,c60) ),
    inference(resolve,[$cnf( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X_738))),c58)),c60) )],[refute_0_17,refute_0_10]) ).

cnf(refute_0_19,plain,
    ( ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58)),f38(f40(c59,c50),c58))
    | p48(f38(f40(c59,c50),c58),c60) ),
    inference(subst,[],[refute_0_18:[bind(X_696,$fot(f38(f40(c59,c50),c58))),bind(X_738,$fot(c61))]]) ).

cnf(refute_0_20,plain,
    p48(f38(f40(c59,c50),c58),c60),
    inference(resolve,[$cnf( p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58)),f38(f40(c59,c50),c58)) )],[refute_0_6,refute_0_19]) ).

cnf(refute_0_21,plain,
    $false,
    inference(resolve,[$cnf( p48(f38(f40(c59,c50),c58),c60) )],[refute_0_20,not_p48_29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n017.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 04:48:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.60  
% 0.20/0.60  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.60  
%------------------------------------------------------------------------------