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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN652-1 : 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 : n008.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 09:10:47 AM UTC 2026

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   40 (  29 unt;   0 nHn;  36 RR)
%            Number of literals    :   60 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
    p4(X53,X53),
    file('theBenchmark.p',p4_5) ).

cnf(p2_10,negated_conjecture,
    p2(X30,X30),
    file('theBenchmark.p',p2_10) ).

cnf(p16_13,negated_conjecture,
    p16(X13,X13),
    file('theBenchmark.p',p16_13) ).

cnf(p4_16,negated_conjecture,
    p4(c34,f5(c35,c32)),
    file('theBenchmark.p',p4_16) ).

cnf(p27_17,negated_conjecture,
    p27(f8(f10(c28,f13(c29,c30)),c32),c33),
    file('theBenchmark.p',p27_17) ).

cnf(not_p4_18,negated_conjecture,
    ~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
    file('theBenchmark.p',not_p4_18) ).

cnf(p4_23,negated_conjecture,
    ( ~ p4(X53,X55)
    | ~ p4(X53,X54)
    | p4(X54,X55) ),
    file('theBenchmark.p',p4_23) ).

cnf(p4_34,negated_conjecture,
    p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)),
    file('theBenchmark.p',p4_34) ).

cnf(p14_37,negated_conjecture,
    ( ~ p2(X10,X12)
    | ~ p16(X9,X11)
    | p14(f17(X9,X10),f17(X11,X12)) ),
    file('theBenchmark.p',p14_37) ).

cnf(p4_41,negated_conjecture,
    ( ~ p4(X57,X59)
    | ~ p14(X56,X58)
    | p4(f15(X56,X57),f15(X58,X59)) ),
    file('theBenchmark.p',p4_41) ).

cnf(p4_46,negated_conjecture,
    ( ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74)
    | p4(f5(c31,X73),f5(c31,X74)) ),
    file('theBenchmark.p',p4_46) ).

cnf(t1,plain,
    ~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
    inference(start,[status(thm),parent(0:0)],[not_p4_18]) ).

cnf(t2,plain,
    ( ~ p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33))
    | ~ p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),c34))
    | p4(f5(c31,c33),f15(f17(c36,c31),c34)) ),
    inference(extension,[status(thm),parent(t1:1)],[p4_23]) ).

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

cnf(t4,plain,
    ( ~ p14(f17(c36,c31),f17(c36,c31))
    | ~ p4(f5(c35,c32),c34)
    | p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),c34)) ),
    inference(extension,[status(thm),parent(t2:2)],[p4_41]) ).

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

cnf(t6,plain,
    ( ~ p4(c34,f5(c35,c32))
    | ~ p4(c34,c34)
    | p4(f5(c35,c32),c34) ),
    inference(extension,[status(thm),parent(t4:2)],[p4_23]) ).

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

cnf(t8,plain,
    p4(c34,c34),
    inference(extension,[status(thm),parent(t6:2)],[p4_5]) ).

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

cnf(t10,plain,
    p4(c34,f5(c35,c32)),
    inference(extension,[status(thm),parent(t6:3)],[p4_16]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).

cnf(t12,plain,
    ( ~ p16(c36,c36)
    | ~ p2(c31,c31)
    | p14(f17(c36,c31),f17(c36,c31)) ),
    inference(extension,[status(thm),parent(t4:3)],[p14_37]) ).

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

cnf(t14,plain,
    p2(c31,c31),
    inference(extension,[status(thm),parent(t12:2)],[p2_10]) ).

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

cnf(t16,plain,
    p16(c36,c36),
    inference(extension,[status(thm),parent(t12:3)],[p16_13]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).

cnf(t18,plain,
    ( ~ p4(f5(c31,c32),f15(f17(c36,c31),f5(c35,c32)))
    | ~ p4(f5(c31,c32),f5(c31,c33))
    | p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)) ),
    inference(extension,[status(thm),parent(t2:3)],[p4_23]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).

cnf(t20,plain,
    ( ~ p27(f8(f10(c28,f13(c29,c30)),c32),c33)
    | p4(f5(c31,c32),f5(c31,c33)) ),
    inference(extension,[status(thm),parent(t18:2)],[p4_46]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).

cnf(t22,plain,
    p27(f8(f10(c28,f13(c29,c30)),c32),c33),
    inference(extension,[status(thm),parent(t20:2)],[p27_17]) ).

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

cnf(t24,plain,
    ( ~ p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c32))
    | ~ p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),f5(c35,c32)))
    | p4(f5(c31,c32),f15(f17(c36,c31),f5(c35,c32))) ),
    inference(extension,[status(thm),parent(t18:3)],[p4_23]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:3]) ).

cnf(t26,plain,
    p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),f5(c35,c32))),
    inference(extension,[status(thm),parent(t24:2)],[p4_5]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).

cnf(t28,plain,
    p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c32)),
    inference(extension,[status(thm),parent(t24:3)],[p4_34]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN652-1 : 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
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 07:07:08 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------