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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN593-1 : 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 : n026.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 09:10:39 AM UTC 2026

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  18 unt;   2 nHn;  20 RR)
%            Number of literals    :   30 (   0 equ;  12 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    7 (   3 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p3_5,negated_conjecture,
    ~ p3(c21,c19),
    file('theBenchmark.p',not_p3_5) ).

cnf(not_p12_6,negated_conjecture,
    ~ p12(f13(c20),f13(c18)),
    file('theBenchmark.p',not_p12_6) ).

cnf(p15_18,negated_conjecture,
    p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
    file('theBenchmark.p',p15_18) ).

cnf(p15_19,negated_conjecture,
    p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
    file('theBenchmark.p',p15_19) ).

cnf(not_p15_23,negated_conjecture,
    ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
    file('theBenchmark.p',not_p15_23) ).

cnf(not_p15_24,negated_conjecture,
    ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
    file('theBenchmark.p',not_p15_24) ).

cnf(p3_27,negated_conjecture,
    ( ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5)
    | ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)
    | p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)
    | p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)
    | p12(f13(X5),f13(c18))
    | p3(X7,X8) ),
    file('theBenchmark.p',p3_27) ).

cnf(t1,plain,
    ~ p3(c21,c19),
    inference(start,[status(thm),parent(0:0)],[not_p3_5]) ).

cnf(t2,plain,
    ( p12(f13(c20),f13(c18))
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20)
    | p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
    | ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)
    | ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
    | p3(c21,c19) ),
    inference(extension,[status(thm),parent(t1:1)],[p3_27]) ).

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

cnf(t4,plain,
    p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
    inference(extension,[status(thm),parent(t2:2)],[p15_18]) ).

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

cnf(t6,plain,
    p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
    inference(extension,[status(thm),parent(t2:3)],[p15_19]) ).

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

cnf(t8,plain,
    ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
    inference(extension,[status(thm),parent(t2:4)],[not_p15_23]) ).

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

cnf(t10,plain,
    ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
    inference(extension,[status(thm),parent(t2:5)],[not_p15_24]) ).

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

cnf(t12,plain,
    ~ p12(f13(c20),f13(c18)),
    inference(extension,[status(thm),parent(t2:6)],[not_p12_6]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN593-1 : 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 : n026.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 07:08:21 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------