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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN705-1 : 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 : n018.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 09:10:54 AM UTC 2026

% Result   : Unsatisfiable 0.40s 0.64s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   34 (  22 unt;   0 nHn;  30 RR)
%            Number of literals    :   54 (   0 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  11 con; 0-2 aty)
%            Number of variables   :   30 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p7_3,negated_conjecture,
    p7(X162,X162),
    file('theBenchmark.p',p7_3) ).

cnf(p2_20,negated_conjecture,
    p2(X38,X38),
    file('theBenchmark.p',p2_20) ).

cnf(p7_28,negated_conjecture,
    ( ~ p7(X162,X164)
    | ~ p7(X162,X163)
    | p7(X163,X164) ),
    file('theBenchmark.p',p7_28) ).

cnf(not_p47_51,negated_conjecture,
    ~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
    file('theBenchmark.p',not_p47_51) ).

cnf(p47_53,negated_conjecture,
    ( ~ p4(X153,X151)
    | ~ p7(X154,X152)
    | ~ p47(X153,X154)
    | p47(X151,X152) ),
    file('theBenchmark.p',p47_53) ).

cnf(p4_58,negated_conjecture,
    ( ~ p3(X127,X129)
    | ~ p2(X126,X128)
    | p4(f5(X126,X127),f5(X128,X129)) ),
    file('theBenchmark.p',p4_58) ).

cnf(p47_74,negated_conjecture,
    ( ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
    | p47(X147,X148) ),
    file('theBenchmark.p',p47_74) ).

cnf(p47_75,negated_conjecture,
    ( ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69)
    | p47(X65,X69) ),
    file('theBenchmark.p',p47_75) ).

cnf(p47_76,negated_conjecture,
    ( ~ p47(X147,X148)
    | p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148) ),
    file('theBenchmark.p',p47_76) ).

cnf(p47_77,negated_conjecture,
    p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
    file('theBenchmark.p',p47_77) ).

cnf(p3_80,negated_conjecture,
    p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))),
    file('theBenchmark.p',p3_80) ).

cnf(t1,plain,
    ~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
    inference(start,[status(thm),parent(0:0)],[not_p47_51]) ).

cnf(t2,plain,
    ( ~ p47(c51,c55)
    | p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55) ),
    inference(extension,[status(thm),parent(t1:1)],[p47_76]) ).

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

cnf(t4,plain,
    ( ~ p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55)
    | p47(c51,c55) ),
    inference(extension,[status(thm),parent(t2:2)],[p47_75]) ).

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

cnf(t6,plain,
    ( ~ p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55)
    | p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55) ),
    inference(extension,[status(thm),parent(t4:2)],[p47_74]) ).

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

cnf(t8,plain,
    ( ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55)
    | ~ p7(c55,c55)
    | ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))))
    | p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55) ),
    inference(extension,[status(thm),parent(t6:2)],[p47_53]) ).

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

cnf(t10,plain,
    ( ~ p2(c48,c48)
    | ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54)))
    | p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54)))) ),
    inference(extension,[status(thm),parent(t8:2)],[p4_58]) ).

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

cnf(t12,plain,
    p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),
    inference(extension,[status(thm),parent(t10:2)],[p3_80]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).

cnf(t14,plain,
    p2(c48,c48),
    inference(extension,[status(thm),parent(t10:3)],[p2_20]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).

cnf(t16,plain,
    ( ~ p7(c55,c55)
    | ~ p7(c55,c55)
    | p7(c55,c55) ),
    inference(extension,[status(thm),parent(t8:3)],[p7_28]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).

cnf(t18,plain,
    p7(c55,c55),
    inference(extension,[status(thm),parent(t16:2)],[p7_3]) ).

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

cnf(t20,plain,
    p7(c55,c55),
    inference(extension,[status(thm),parent(t16:3)],[p7_3]) ).

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

cnf(t22,plain,
    p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
    inference(extension,[status(thm),parent(t8:4)],[p47_77]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t8:4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN705-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34  % Computer : n018.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8046.5625MB
% 0.09/0.34  % OS       : Linux 6.8.0-71-generic
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Sun Sep 20 07:09:11 UTC 2026
% 0.09/0.34  % CPUTime  : 
% 0.40/0.64  % SZS status Unsatisfiable for theBenchmark
% 0.40/0.64  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------