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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN630-1 : 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 : n004.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 09:10:44 AM UTC 2026

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  15 unt;   0 nHn;  16 RR)
%            Number of literals    :   25 (   0 equ;  10 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   8 con; 0-2 aty)
%            Number of variables   :    7 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p21_5,negated_conjecture,
    p21(c28,f9(f10(f11(c29)))),
    file('theBenchmark.p',p21_5) ).

cnf(p21_6,negated_conjecture,
    p21(c27,f12(f9(f10(f11(c29))),c24)),
    file('theBenchmark.p',p21_6) ).

cnf(not_p4_12,negated_conjecture,
    ~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
    file('theBenchmark.p',not_p4_12) ).

cnf(p22_17,negated_conjecture,
    p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
    file('theBenchmark.p',p22_17) ).

cnf(p3_30,negated_conjecture,
    p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
    file('theBenchmark.p',p3_30) ).

cnf(p4_34,negated_conjecture,
    ( ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21)))))
    | ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)
    | ~ p21(X23,f12(f9(f10(f11(c29))),X20))
    | ~ p21(X22,f9(f10(f11(c29))))
    | p4(f5(f7(X19,f8(X20,X21)),X18),X23) ),
    file('theBenchmark.p',p4_34) ).

cnf(t1,plain,
    ~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
    inference(start,[status(thm),parent(0:0)],[not_p4_12]) ).

cnf(t2,plain,
    ( ~ p21(c28,f9(f10(f11(c29))))
    | ~ p21(c27,f12(f9(f10(f11(c29))),c24))
    | ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
    | ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))
    | p4(f5(f7(c23,f8(c24,c25)),c26),c27) ),
    inference(extension,[status(thm),parent(t1:1)],[p4_34]) ).

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

cnf(t4,plain,
    p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
    inference(extension,[status(thm),parent(t2:2)],[p3_30]) ).

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

cnf(t6,plain,
    p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
    inference(extension,[status(thm),parent(t2:3)],[p22_17]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).

cnf(t8,plain,
    p21(c27,f12(f9(f10(f11(c29))),c24)),
    inference(extension,[status(thm),parent(t2:4)],[p21_6]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).

cnf(t10,plain,
    p21(c28,f9(f10(f11(c29)))),
    inference(extension,[status(thm),parent(t2:5)],[p21_5]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03  This is a CNF_UNS_RFO_NEQ_NHN 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
% 0.09/0.35  % Computer : n004.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 07:06:04 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------