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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN563-1 : 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 : n003.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 09:10:36 AM UTC 2026

% Result   : Unsatisfiable 0.13s 0.45s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   42 (  28 unt;   0 nHn;  39 RR)
%            Number of literals    :   66 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X0,X0),
    file('theBenchmark.p',p2_1) ).

cnf(p6_2,negated_conjecture,
    p6(X22,X22),
    file('theBenchmark.p',p6_2) ).

cnf(p2_4,negated_conjecture,
    p2(f4(c7),f4(c8)),
    file('theBenchmark.p',p2_4) ).

cnf(not_p6_5,negated_conjecture,
    ~ p6(f4(c7),f3(f4(c8))),
    file('theBenchmark.p',not_p6_5) ).

cnf(p5_7,negated_conjecture,
    p5(f3(f3(X16)),f3(f4(X16))),
    file('theBenchmark.p',p5_7) ).

cnf(p6_9,negated_conjecture,
    ( ~ p6(c7,X27)
    | p6(c7,f3(X27)) ),
    file('theBenchmark.p',p6_9) ).

cnf(p6_10,negated_conjecture,
    ( ~ p5(X10,X11)
    | p6(f4(X10),X11) ),
    file('theBenchmark.p',p6_10) ).

cnf(p2_11,negated_conjecture,
    ( ~ p2(X3,X4)
    | p2(f3(X3),f3(X4)) ),
    file('theBenchmark.p',p2_11) ).

cnf(p2_13,negated_conjecture,
    ( ~ p2(X0,X2)
    | ~ p2(X0,X1)
    | p2(X1,X2) ),
    file('theBenchmark.p',p2_13) ).

cnf(p5_15,negated_conjecture,
    ( ~ p6(X7,X9)
    | ~ p5(X9,X8)
    | p5(X7,X8) ),
    file('theBenchmark.p',p5_15) ).

cnf(p5_17,negated_conjecture,
    ( ~ p2(X14,X12)
    | ~ p5(X14,X15)
    | ~ p2(X15,X13)
    | p5(X12,X13) ),
    file('theBenchmark.p',p5_17) ).

cnf(t1,plain,
    ~ p6(f4(c7),f3(f4(c8))),
    inference(start,[status(thm),parent(0:0)],[not_p6_5]) ).

cnf(t2,plain,
    ( ~ p5(c7,f3(f4(c8)))
    | p6(f4(c7),f3(f4(c8))) ),
    inference(extension,[status(thm),parent(t1:1)],[p6_10]) ).

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

cnf(t4,plain,
    ( ~ p5(f3(f3(c7)),f3(f4(c8)))
    | ~ p6(c7,f3(f3(c7)))
    | p5(c7,f3(f4(c8))) ),
    inference(extension,[status(thm),parent(t2:2)],[p5_15]) ).

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

cnf(t6,plain,
    ( ~ p6(c7,f3(c7))
    | p6(c7,f3(f3(c7))) ),
    inference(extension,[status(thm),parent(t4:2)],[p6_9]) ).

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

cnf(t8,plain,
    ( ~ p6(c7,c7)
    | p6(c7,f3(c7)) ),
    inference(extension,[status(thm),parent(t6:2)],[p6_9]) ).

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

cnf(t10,plain,
    p6(c7,c7),
    inference(extension,[status(thm),parent(t8:2)],[p6_2]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    ( ~ p2(f3(f4(c7)),f3(f4(c8)))
    | ~ p5(f3(f3(c7)),f3(f4(c7)))
    | ~ p2(f3(f3(c7)),f3(f3(c7)))
    | p5(f3(f3(c7)),f3(f4(c8))) ),
    inference(extension,[status(thm),parent(t4:3)],[p5_17]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).

cnf(t14,plain,
    ( ~ p2(f3(f3(c7)),f3(f3(c7)))
    | ~ p2(f3(f3(c7)),f3(f3(c7)))
    | p2(f3(f3(c7)),f3(f3(c7))) ),
    inference(extension,[status(thm),parent(t12:2)],[p2_13]) ).

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

cnf(t16,plain,
    p2(f3(f3(c7)),f3(f3(c7))),
    inference(extension,[status(thm),parent(t14:2)],[p2_1]) ).

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

cnf(t18,plain,
    p2(f3(f3(c7)),f3(f3(c7))),
    inference(extension,[status(thm),parent(t14:3)],[p2_1]) ).

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

cnf(t20,plain,
    ( ~ p2(f3(f4(c7)),f3(f4(c7)))
    | ~ p5(f3(f3(c7)),f3(f4(c7)))
    | ~ p2(f3(f3(c7)),f3(f3(c7)))
    | p5(f3(f3(c7)),f3(f4(c7))) ),
    inference(extension,[status(thm),parent(t12:3)],[p5_17]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t12:3]) ).

cnf(t22,plain,
    p2(f3(f3(c7)),f3(f3(c7))),
    inference(extension,[status(thm),parent(t20:2)],[p2_1]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).

cnf(t24,plain,
    p5(f3(f3(c7)),f3(f4(c7))),
    inference(extension,[status(thm),parent(t20:3)],[p5_7]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).

cnf(t26,plain,
    p2(f3(f4(c7)),f3(f4(c7))),
    inference(extension,[status(thm),parent(t20:4)],[p2_1]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:4]) ).

cnf(t28,plain,
    ( ~ p2(f4(c7),f4(c8))
    | p2(f3(f4(c7)),f3(f4(c8))) ),
    inference(extension,[status(thm),parent(t12:4)],[p2_11]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t12:4]) ).

cnf(t30,plain,
    p2(f4(c7),f4(c8)),
    inference(extension,[status(thm),parent(t28:2)],[p2_4]) ).

cnf(t31,plain,
    $false,
    inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN563-1 : 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
% 0.08/0.35  % Computer : n003.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 20 07:06:14 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.13/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.45  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------