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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 09:10:47 AM UTC 2026

% Result   : Unsatisfiable 0.09s 0.61s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  21 unt;   0 nHn;  29 RR)
%            Number of literals    :   49 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
    p4(X63,X63),
    file('theBenchmark.p',p4_5) ).

cnf(p3_6,negated_conjecture,
    p3(X56,X56),
    file('theBenchmark.p',p3_6) ).

cnf(p23_13,negated_conjecture,
    p23(f5(c27,c28),c30),
    file('theBenchmark.p',p23_13) ).

cnf(p23_26,negated_conjecture,
    p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
    file('theBenchmark.p',p23_26) ).

cnf(p23_27,negated_conjecture,
    ( ~ p23(X43,X44)
    | ~ p4(X43,X41)
    | ~ p3(X44,X42)
    | p23(X41,X42) ),
    file('theBenchmark.p',p23_27) ).

cnf(not_p23_28,negated_conjecture,
    ~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
    file('theBenchmark.p',not_p23_28) ).

cnf(p23_41,negated_conjecture,
    ( ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
    | p23(f5(X45,f14(f16(f18(f20(c31,X46),X47),X45),X48)),X48) ),
    file('theBenchmark.p',p23_41) ).

cnf(p23_43,negated_conjecture,
    ( ~ p23(f5(f7(f10(c24,X46),X45),X47),X51)
    | ~ p23(f5(X45,X51),X48)
    | p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ),
    file('theBenchmark.p',p23_43) ).

cnf(p23_44,negated_conjecture,
    ( ~ p23(f5(f7(f10(c24,c26),c27),X52),X50)
    | ~ p23(f5(c27,X49),X52)
    | p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50) ),
    file('theBenchmark.p',p23_44) ).

cnf(p23_45,negated_conjecture,
    ( ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
    | p23(f5(f7(f10(c24,X46),X45),X47),f14(f16(f18(f20(c31,X46),X47),X45),X48)) ),
    file('theBenchmark.p',p23_45) ).

cnf(t1,plain,
    ~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
    inference(start,[status(thm),parent(0:0)],[not_p23_28]) ).

cnf(t2,plain,
    ( ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29)
    | ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29))
    | p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29) ),
    inference(extension,[status(thm),parent(t1:1)],[p23_43]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ p23(f5(c27,c28),c30)
    | ~ p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29))
    | p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
    inference(extension,[status(thm),parent(t2:2)],[p23_44]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    ( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29)
    | p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
    inference(extension,[status(thm),parent(t4:2)],[p23_45]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
    inference(extension,[status(thm),parent(t6:2)],[p23_26]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    p23(f5(c27,c28),c30),
    inference(extension,[status(thm),parent(t4:3)],[p23_13]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).

cnf(t12,plain,
    ( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29)
    | p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29) ),
    inference(extension,[status(thm),parent(t2:3)],[p23_41]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:3]) ).

cnf(t14,plain,
    ( ~ p3(c29,c29)
    | ~ p4(f5(f7(f10(c24,f12(c25,c26)),c27),c30),f5(f7(f10(c24,f12(c25,c26)),c27),c30))
    | ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29)
    | p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) ),
    inference(extension,[status(thm),parent(t12:2)],[p23_27]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).

cnf(t16,plain,
    p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
    inference(extension,[status(thm),parent(t14:2)],[p23_26]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).

cnf(t18,plain,
    p4(f5(f7(f10(c24,f12(c25,c26)),c27),c30),f5(f7(f10(c24,f12(c25,c26)),c27),c30)),
    inference(extension,[status(thm),parent(t14:3)],[p4_5]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).

cnf(t20,plain,
    p3(c29,c29),
    inference(extension,[status(thm),parent(t14:4)],[p3_6]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t14:4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.56  % Computer : n001.cluster.edu
% 0.09/0.56  % Model    : x86_64 x86_64
% 0.09/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56  % Memory   : 8046.5625MB
% 0.09/0.56  % OS       : Linux 6.8.0-71-generic
% 0.09/0.56  % CPULimit : 300
% 0.09/0.56  % WCLimit  : 300
% 0.09/0.56  % DateTime : Sun Sep 20 07:12:12 UTC 2026
% 0.09/0.57  % CPUTime  : 
% 0.09/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.61  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------