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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 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 09:04:26 AM UTC 2026

% Result   : Unsatisfiable 43.42s 43.96s
% Output   : Proof 43.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  13 unt;   0 nHn;  17 RR)
%            Number of literals    :   25 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    file('theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))
    | ~ c_Natural_Oevaln(v_c,V_s,v_n,V_s_H)
    | hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H)) ),
    file('theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_Q,V_Z),V_s))
    | ~ c_Natural_Oevaln(v_d,V_s,v_n,V_s_H)
    | hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H)) ),
    file('theBenchmark.p',cls_conjecture_6) ).

cnf(t1,plain,
    ( ~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1)
    | ~ hBOOL(hAPP(hAPP(v_P,v_Z),v_s))
    | hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)) ),
    inference(start,[status(thm),parent(0:0)],[cls_conjecture_5]) ).

cnf(t2,plain,
    ( ~ c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H)
    | hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H))
    | ~ hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)) ),
    inference(extension,[status(thm),parent(t1:1)],[cls_conjecture_6]) ).

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

cnf(t4,plain,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    inference(extension,[status(thm),parent(t2:2)],[cls_conjecture_3]) ).

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

cnf(t6,plain,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    inference(extension,[status(thm),parent(t2:3)],[cls_conjecture_2]) ).

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

cnf(t8,plain,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    inference(extension,[status(thm),parent(t1:2)],[cls_conjecture_0]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).

cnf(t10,plain,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    inference(extension,[status(thm),parent(t1:3)],[cls_conjecture_1]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.59  % Computer : n003.cluster.edu
% 0.09/0.59  % Model    : x86_64 x86_64
% 0.09/0.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.59  % Memory   : 8046.5625MB
% 0.09/0.59  % OS       : Linux 6.8.0-71-generic
% 0.09/0.59  % CPULimit : 300
% 0.09/0.59  % WCLimit  : 300
% 0.09/0.59  % DateTime : Sun Sep 20 04:51:01 UTC 2026
% 0.09/0.59  % CPUTime  : 
% 43.42/43.96  % SZS status Unsatisfiable for theBenchmark
% 43.42/43.96  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------