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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN716-1 : 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 : 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 09:10:56 AM UTC 2026

% Result   : Unsatisfiable 0.24s 0.50s
% Output   : Proof 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  21 unt;   0 nHn;  28 RR)
%            Number of literals    :   49 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   28 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p32_20,negated_conjecture,
    p32(X92,X92),
    file('theBenchmark.p',p32_20) ).

cnf(p2_28,negated_conjecture,
    p2(X44,X44),
    file('theBenchmark.p',p2_28) ).

cnf(not_p62_34,negated_conjecture,
    ~ p62(c67,c72),
    file('theBenchmark.p',not_p62_34) ).

cnf(p32_54,negated_conjecture,
    ( ~ p32(X92,X94)
    | ~ p32(X92,X93)
    | p32(X93,X94) ),
    file('theBenchmark.p',p32_54) ).

cnf(p62_68,negated_conjecture,
    ( ~ p32(X201,X200)
    | ~ p62(X202,X201)
    | ~ p4(X202,X199)
    | p62(X199,X200) ),
    file('theBenchmark.p',p62_68) ).

cnf(p4_86,negated_conjecture,
    ( ~ p3(X124,X126)
    | ~ p2(X123,X125)
    | p4(f5(X123,X124),f5(X125,X126)) ),
    file('theBenchmark.p',p4_86) ).

cnf(p62_97,negated_conjecture,
    ( ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204)
    | p62(X203,X204) ),
    file('theBenchmark.p',p62_97) ).

cnf(p62_99,negated_conjecture,
    ( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
    | p62(X7,X12) ),
    file('theBenchmark.p',p62_99) ).

cnf(p62_100,negated_conjecture,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    file('theBenchmark.p',p62_100) ).

cnf(p3_106,negated_conjecture,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))),
    file('theBenchmark.p',p3_106) ).

cnf(t1,plain,
    ~ p62(c67,c72),
    inference(start,[status(thm),parent(0:0)],[not_p62_34]) ).

cnf(t2,plain,
    ( ~ p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72)
    | p62(c67,c72) ),
    inference(extension,[status(thm),parent(t1:1)],[p62_99]) ).

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

cnf(t4,plain,
    ( ~ p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72)
    | p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72) ),
    inference(extension,[status(thm),parent(t2:2)],[p62_97]) ).

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

cnf(t6,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))))
    | ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
    | ~ p32(c72,c72)
    | p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) ),
    inference(extension,[status(thm),parent(t4:2)],[p62_68]) ).

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

cnf(t8,plain,
    ( ~ p32(c72,c72)
    | ~ p32(c72,c72)
    | p32(c72,c72) ),
    inference(extension,[status(thm),parent(t6:2)],[p32_54]) ).

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

cnf(t10,plain,
    p32(c72,c72),
    inference(extension,[status(thm),parent(t8:2)],[p32_20]) ).

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

cnf(t12,plain,
    p32(c72,c72),
    inference(extension,[status(thm),parent(t8:3)],[p32_20]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).

cnf(t14,plain,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    inference(extension,[status(thm),parent(t6:3)],[p62_100]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).

cnf(t16,plain,
    ( ~ p2(c64,c64)
    | ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))
    | p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))) ),
    inference(extension,[status(thm),parent(t6:4)],[p4_86]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:4]) ).

cnf(t18,plain,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),
    inference(extension,[status(thm),parent(t16:2)],[p3_106]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).

cnf(t20,plain,
    p2(c64,c64),
    inference(extension,[status(thm),parent(t16:3)],[p2_28]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN716-1 : 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
% 0.10/0.35  % Computer : n010.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sun Sep 20 07:07:40 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.24/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.24/0.50  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------