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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.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 09:10:55 AM UTC 2026

% Result   : Unsatisfiable 0.66s 0.99s
% Output   : Proof 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  10 unt;   2 nHn;  16 RR)
%            Number of literals    :   28 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   10 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p33_25,negated_conjecture,
    ~ p33(f11(c46,c50),f9(c47,c43)),
    file('theBenchmark.p',not_p33_25) ).

cnf(p33_50,negated_conjecture,
    p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
    file('theBenchmark.p',p33_50) ).

cnf(p33_72,negated_conjecture,
    ( p33(f18(c51,f20(f22(c52,X79),X80)),X79)
    | p33(f11(c46,X79),X80) ),
    file('theBenchmark.p',p33_72) ).

cnf(p33_73,negated_conjecture,
    ( ~ p33(f18(c51,f20(f22(c52,X79),X80)),X80)
    | p33(f11(c46,X79),X80) ),
    file('theBenchmark.p',p33_73) ).

cnf(p33_75,negated_conjecture,
    ( ~ p33(f18(c51,X13),X15)
    | p33(f18(c51,X13),f13(f16(c48,X14),X15)) ),
    file('theBenchmark.p',p33_75) ).

cnf(p33_80,negated_conjecture,
    ( ~ p33(f18(c51,X81),X79)
    | ~ p33(f11(c46,X79),X80)
    | p33(f18(c51,X81),X80) ),
    file('theBenchmark.p',p33_80) ).

cnf(t1,plain,
    ~ p33(f11(c46,c50),f9(c47,c43)),
    inference(start,[status(thm),parent(0:0)],[not_p33_25]) ).

cnf(t2,plain,
    ( p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),c50)
    | p33(f11(c46,c50),f9(c47,c43)) ),
    inference(extension,[status(thm),parent(t1:1)],[p33_72]) ).

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

cnf(t4,plain,
    ( p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f13(f16(c48,c49),c50))
    | ~ p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),c50) ),
    inference(extension,[status(thm),parent(t2:2)],[p33_75]) ).

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

cnf(t6,plain,
    ( ~ p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43))
    | p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43))
    | ~ p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f13(f16(c48,c49),c50)) ),
    inference(extension,[status(thm),parent(t4:2)],[p33_80]) ).

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

cnf(t8,plain,
    ( p33(f11(c46,c50),f9(c47,c43))
    | ~ p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43)) ),
    inference(extension,[status(thm),parent(t6:2)],[p33_73]) ).

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

cnf(t10,plain,
    $false,
    inference(reduction,[status(thm),parent(t8:2)],[t8:2,t1:1]) ).

cnf(t11,plain,
    p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
    inference(extension,[status(thm),parent(t6:3)],[p33_50]) ).

cnf(t12,plain,
    $false,
    inference(connection,[status(thm),parent(t11:1)],[t11:1,t6:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN710-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n010.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 07:07:40 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.66/0.99  % SZS status Unsatisfiable for theBenchmark
% 0.66/0.99  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------