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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : BOO067-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% 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 : Fri Sep 25 01:00:20 PM UTC 2026

% Result   : Unsatisfiable 13.19s 2.78s
% Output   : CNFRefutation 13.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   69 (  69 unt;   0 def)
%            Number of atoms       :  151 (  68 equ)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :  277 (   0 sgn 277   !;   0   ?; 270   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,negated_conjecture,
    multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms_1) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_52,negated_conjecture,
    multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
    inference(superposition,[status(thm)],[c_51,c_51]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,multiply(X4,multiply(X5,X6,X7),X8)),inverse(multiply(multiply(X8,X4,X7),X6,multiply(X8,X4,X5))),multiply(X2,X3,multiply(X9,inverse(X9),X10)))),multiply(X3,X10,X2)) = X1,
    inference(superposition,[status(thm)],[c_51,c_51]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,inverse(multiply(X2,X0,X3)),X3),X2) = iPr_def_10(X0,X1,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_62]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = iPr_def_10(X1,X2,X0),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_62]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] : iPr_def_10(inverse(X0),X1,X0) = X1,
    inference(demodulation,[status(thm)],[c_51,c_67]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : multiply(iPr_def_10(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = iPr_def_10(multiply(X1,inverse(multiply(X2,X0,X8)),X8),X2,X0),
    inference(superposition,[status(thm)],[c_66,c_67]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),inverse(multiply(X3,X4,X5)),multiply(X3,X4,X6))),iPr_def_10(X4,X6,X3)) = iPr_def_10(X1,X2,X0),
    inference(superposition,[status(thm)],[c_66,c_67]) ).

tcf(c_140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,multiply(multiply(X3,inverse(X3),inverse(X2)),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)),multiply(X9,inverse(X9),X10))),multiply(inverse(X2),X10,X2)) = X1,
    inference(superposition,[status(thm)],[c_65,c_65]) ).

tcf(c_278,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = X1,
    inference(demodulation,[status(thm)],[c_140,c_67,c_68]) ).

tcf(c_441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = multiply(inverse(X5),X1,X5),
    inference(superposition,[status(thm)],[c_278,c_278]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),inverse(inverse(X3)))),multiply(inverse(multiply(X3,inverse(X3),multiply(X2,inverse(X2),inverse(inverse(X3))))),X3,multiply(X3,inverse(X3),multiply(X2,inverse(X2),inverse(inverse(X3)))))) = X1,
    inference(superposition,[status(thm)],[c_278,c_278]) ).

tcf(c_791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),iPr_def_10(inverse(multiply(X3,X4,X5)),multiply(X3,X4,X6),multiply(X3,X4,X5)))),multiply(inverse(X2),iPr_def_10(X4,X6,X3),X2)) = X1,
    inference(superposition,[status(thm)],[c_95,c_278]) ).

tcf(c_986,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : multiply(iPr_def_10(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(iPr_def_10(X0,X1,X2),inverse(multiply(multiply(X8,X9,X10),X11,multiply(X8,X9,X12))),multiply(X9,multiply(X12,X11,X10),X8)),
    inference(superposition,[status(thm)],[c_88,c_88]) ).

tcf(c_988,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),X1,X0) = X1,
    inference(demodulation,[status(thm)],[c_441,c_278]) ).

tcf(c_993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),iPr_def_10(inverse(multiply(X3,X4,X5)),multiply(X3,X4,X6),multiply(X3,X4,X5)))),iPr_def_10(X4,X6,X3)) = X1,
    inference(demodulation,[status(thm)],[c_791,c_988]) ).

tcf(c_994,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,X4,X5))),iPr_def_10(X4,X5,X3)) = X1,
    inference(demodulation,[status(thm)],[c_993,c_68]) ).

tcf(c_997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),inverse(inverse(X3)))),X3) = X1,
    inference(demodulation,[status(thm)],[c_475,c_988]) ).

tcf(c_1006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : multiply(iPr_def_10(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = iPr_def_11(X0,X1,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_986]) ).

tcf(c_1082,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),X4) = X1,
    inference(demodulation,[status(thm)],[c_278,c_988]) ).

tcf(c_1083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(multiply(X0,inverse(multiply(X1,X2,X3)),X3),X1,X2) = iPr_def_11(X2,X0,X1),
    inference(demodulation,[status(thm)],[c_88,c_1006]) ).

tcf(c_2015,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,inverse(X0),X2),inverse(X2)) = iPr_def_10(X0,X1,inverse(X2)),
    inference(superposition,[status(thm)],[c_988,c_66]) ).

tcf(c_2017,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = iPr_def_10(inverse(X1),X0,X1),
    inference(superposition,[status(thm)],[c_988,c_66]) ).

tcf(c_2030,plain,
    ! [X0: $i,X1: $i,X2: $i] : iPr_def_10(multiply(X0,inverse(X1),X2),inverse(X2),X1) = iPr_def_11(X1,X0,inverse(X2)),
    inference(superposition,[status(thm)],[c_988,c_1083]) ).

tcf(c_2041,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X1),inverse(inverse(X2)))),X2) = X0,
    inference(superposition,[status(thm)],[c_997,c_997]) ).

tcf(c_2077,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,X1,X2),inverse(inverse(inverse(multiply(X3,inverse(X3),X4)))),iPr_def_10(inverse(X3),X4,X3)) = iPr_def_10(X1,X2,X0),
    inference(superposition,[status(thm)],[c_997,c_95]) ).

tcf(c_2078,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(inverse(inverse(inverse(inverse(X2))))),X2) = X1,
    inference(superposition,[status(thm)],[c_997,c_997]) ).

tcf(c_2083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X1),multiply(X2,inverse(X2),X3))),X3) = X0,
    inference(superposition,[status(thm)],[c_988,c_1082]) ).

tcf(c_2170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,X1,X2),inverse(multiply(X3,inverse(X3),inverse(inverse(X4)))),X4) = iPr_def_10(X1,X2,X0),
    inference(superposition,[status(thm)],[c_994,c_997]) ).

tcf(c_2270,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = X0,
    inference(demodulation,[status(thm)],[c_2017,c_68]) ).

tcf(c_2271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,X1,X2),inverse(inverse(inverse(multiply(X3,inverse(X3),X4)))),X4) = iPr_def_10(X1,X2,X0),
    inference(demodulation,[status(thm)],[c_2077,c_68]) ).

tcf(c_3872,plain,
    ! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(inverse(X1))),X1) = X0,
    inference(superposition,[status(thm)],[c_988,c_2270]) ).

tcf(c_3886,plain,
    ! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X0),X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_2270,c_988]) ).

tcf(c_3930,plain,
    ! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(inverse(X1))),X1) = iPr_def_10(inverse(inverse(X1)),X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_2015,c_988]) ).

tcf(c_3933,plain,
    ! [X0: $i,X1: $i] : iPr_def_10(inverse(X0),inverse(X1),X0) = iPr_def_11(X0,inverse(X1),inverse(X1)),
    inference(superposition,[status(thm)],[c_988,c_2030]) ).

tcf(c_3949,plain,
    ! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X0),inverse(inverse(inverse(X1))))) = X1,
    inference(superposition,[status(thm)],[c_2041,c_988]) ).

tcf(c_3954,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(iPr_def_10(X0,multiply(X1,X2,X3),multiply(X1,X2,X4)),inverse(inverse(inverse(inverse(inverse(X5))))),X5) = multiply(X2,multiply(X3,X0,X4),X1),
    inference(superposition,[status(thm)],[c_67,c_2078]) ).

tcf(c_3955,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(inverse(inverse(inverse(inverse(X1))))),X1) = X0,
    inference(superposition,[status(thm)],[c_988,c_2078]) ).

tcf(c_3967,plain,
    ! [X0: $i,X1: $i,X2: $i] : iPr_def_10(inverse(inverse(inverse(inverse(X0)))),multiply(X1,inverse(X1),X2),inverse(X0)) = multiply(inverse(inverse(inverse(inverse(X0)))),X2,inverse(X0)),
    inference(superposition,[status(thm)],[c_2078,c_2015]) ).

tcf(c_3984,plain,
    ! [X0: $i,X1: $i,X2: $i] : inverse(multiply(X0,inverse(X0),multiply(X1,inverse(X1),inverse(X2)))) = X2,
    inference(superposition,[status(thm)],[c_2083,c_988]) ).

tcf(c_4125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(iPr_def_10(X0,X1,X2),inverse(inverse(inverse(multiply(X3,inverse(X3),X4)))),X4) = iPr_def_10(multiply(X1,inverse(multiply(X2,X0,X5)),X5),X2,X0),
    inference(superposition,[status(thm)],[c_66,c_2271]) ).

tcf(c_4140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,X1,X2),inverse(inverse(inverse(inverse(inverse(X3))))),X3) = iPr_def_10(X1,X2,X0),
    inference(superposition,[status(thm)],[c_988,c_2271]) ).

tcf(c_4143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,X1,X2),inverse(inverse(inverse(iPr_def_10(inverse(X3),inverse(inverse(X4)),X3)))),X4) = iPr_def_10(X1,X2,X0),
    inference(superposition,[status(thm)],[c_2170,c_2271]) ).

tcf(c_4160,plain,
    ! [X0: $i] : inverse(inverse(inverse(inverse(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_3949,c_3886]) ).

tcf(c_4162,plain,
    ! [X0: $i] : inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_3984,c_3886]) ).

tcf(c_4163,plain,
    ! [X0: $i,X1: $i] : multiply(X0,inverse(X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_3955,c_4160,c_4162]) ).

tcf(c_4165,plain,
    ! [X0: $i,X1: $i] : iPr_def_11(X0,inverse(X1),inverse(X1)) = inverse(X1),
    inference(demodulation,[status(thm)],[c_3933,c_68]) ).

tcf(c_4169,plain,
    ! [X0: $i,X1: $i] : iPr_def_10(X0,X1,inverse(X0)) = X1,
    inference(demodulation,[status(thm)],[c_3930,c_3872,c_4162]) ).

tcf(c_4170,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,X2) = iPr_def_10(X1,X2,X0),
    inference(demodulation,[status(thm)],[c_4140,c_4160,c_4163]) ).

tcf(c_4189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(inverse(iPr_def_10(inverse(X0),X1,X0)),X1,iPr_def_10(X2,X3,X4)) = iPr_def_10(X2,X3,X4),
    inference(demodulation,[status(thm)],[c_4143,c_4162,c_4170]) ).

tcf(c_4190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(inverse(X0),X0,iPr_def_10(X1,X2,X3)) = iPr_def_10(X1,X2,X3),
    inference(demodulation,[status(thm)],[c_4189,c_68]) ).

tcf(c_4207,plain,
    ! [X0: $i,X1: $i,X2: $i] : iPr_def_10(inverse(X0),X1,X0) = iPr_def_10(X1,inverse(X2),X2),
    inference(demodulation,[status(thm)],[c_3967,c_4160,c_4169,c_4170]) ).

tcf(c_4208,plain,
    ! [X0: $i,X1: $i] : iPr_def_10(X0,inverse(X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_4207,c_68]) ).

tcf(c_4238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(iPr_def_10(inverse(iPr_def_10(X0,X1,X2)),X1,X3),X2,X0) = iPr_def_10(X0,X3,X2),
    inference(demodulation,[status(thm)],[c_4125,c_3886,c_4162,c_4170,c_4190]) ).

tcf(c_4242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : iPr_def_10(X0,iPr_def_10(X1,X2,X3),iPr_def_10(X1,X4,X3)) = iPr_def_10(iPr_def_10(X0,X4,X2),X3,X1),
    inference(demodulation,[status(thm)],[c_3954,c_4160,c_4170,c_4190]) ).

tcf(c_4378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(iPr_def_10(inverse(multiply(X0,X1,X2)),X2,X3),X0,X1) = iPr_def_11(X1,X3,X0),
    inference(demodulation,[status(thm)],[c_1083,c_4170]) ).

tcf(c_4383,plain,
    multiply(iPr_def_10(e,a,d),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
    inference(demodulation,[status(thm)],[c_52,c_4170]) ).

tcf(c_4384,plain,
    iPr_def_10(iPr_def_10(b,a,c),d,e) != iPr_def_10(e,iPr_def_10(b,c,a),d),
    inference(demodulation,[status(thm)],[c_4383,c_4170,c_4242]) ).

tcf(c_4385,plain,
    ! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,X2) = iPr_def_11(X0,X1,X2),
    inference(demodulation,[status(thm)],[c_4378,c_4170,c_4238]) ).

tcf(c_4473,plain,
    ! [X0: $i,X1: $i] : iPr_def_11(X0,X1,X1) = X1,
    inference(superposition,[status(thm)],[c_4162,c_4165]) ).

tcf(c_4499,plain,
    ! [X0: $i,X1: $i] : iPr_def_10(X0,X1,X1) = X1,
    inference(demodulation,[status(thm)],[c_4473,c_4385]) ).

tcf(c_4615,plain,
    ! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,X2) = iPr_def_10(X1,X2,X0),
    inference(superposition,[status(thm)],[c_4499,c_4238]) ).

tcf(c_4664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(iPr_def_10(X0,X1,X2),inverse(X3),X3) = iPr_def_10(X0,iPr_def_10(X3,X2,inverse(X3)),X1),
    inference(superposition,[status(thm)],[c_4169,c_4242]) ).

tcf(c_4880,plain,
    ! [X0: $i,X1: $i,X2: $i] : iPr_def_10(X0,X1,X2) = iPr_def_10(X0,X2,X1),
    inference(demodulation,[status(thm)],[c_4664,c_4169,c_4208]) ).

tcf(c_5094,plain,
    iPr_def_10(iPr_def_10(a,c,b),d,e) != iPr_def_10(e,iPr_def_10(b,c,a),d),
    inference(demodulation,[status(thm)],[c_4384,c_4615]) ).

tcf(c_5106,plain,
    $false,
    inference(ground_joinability,[status(thm)],[c_5094,c_4615,c_4880]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : BOO067-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n010.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 06:42:14 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running UEQ theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 13.19/2.78  WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 13.19/2.78  % SZS status Started for theBenchmark.p
% 13.19/2.78  % SZS status Unsatisfiable for theBenchmark.p
% 13.19/2.78  
% 13.19/2.78  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.19/2.78  
% 13.19/2.78  % ------  iProver source info
% 13.19/2.78  
% 13.19/2.78  % git: date: 2026-07-19 20:42:38 +0200
% 13.19/2.78  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.19/2.78  % git: non_committed_changes: false
% 13.19/2.78  
% 13.19/2.78  % ------ Parsing...% successful
% 13.19/2.78  
% 13.19/2.78  
% 13.19/2.78  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 13.19/2.78  % ------ Proving...
% 13.19/2.78  % ------ Problem Properties 
% 13.19/2.78  
% 13.19/2.78  % 
% 13.19/2.78  % clauses                               2
% 13.19/2.78  % conjectures                           1
% 13.19/2.78  % EPR                                   0
% 13.19/2.78  % Horn                                  2
% 13.19/2.78  % unary                                 2
% 13.19/2.78  % binary                                0
% 13.19/2.78  % lits                                  2
% 13.19/2.78  % lits eq                               2
% 13.19/2.78  % fd_pure                               0
% 13.19/2.78  % fd_pseudo                             0
% 13.19/2.78  % fd_cond                               0
% 13.19/2.78  % fd_pseudo_cond                        0
% 13.19/2.78  % AC symbols                            0
% 13.19/2.78  
% 13.19/2.78  % ------ Input Options Time Limit: Unbounded
% 13.19/2.78  
% 13.19/2.78  
% 13.19/2.78  % ------ 
% 13.19/2.78  % Current options:
% 13.19/2.78  % ------ 
% 13.19/2.78  
% 13.19/2.78  
% 13.19/2.78  % 
% 13.19/2.78  
% 13.19/2.78  % ------ Proving...
% 13.19/2.78  % 
% 13.19/2.78  
% 13.19/2.78  % SZS status Unsatisfiable for theBenchmark.p
% 13.19/2.78  
% 13.19/2.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.19/2.78  
% 13.19/2.78  
%------------------------------------------------------------------------------