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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV565-1.004 : TPTP v9.3.1. Released v4.0.0.
% 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 03:23:45 PM UTC 2026

% Result   : Unsatisfiable 13.84s 5.25s
% Output   : CNFRefutation 13.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  164 (  94 unt;   0 def)
%            Number of atoms       :  271 ( 270 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  110 (   3   ~; 107   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  25 con; 0-3 aty)
%            Number of variables   :   85 (   0 sgn  85   !;   0   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( select(store(X2,X0,X3),X1) = select(X2,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).

fof(f3,axiom,
    ! [X2,X0,X1] : store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

fof(f4,axiom,
    a_20 = store(a1,i1,e_19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

fof(f5,axiom,
    a_22 = store(a2,i1,e_21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).

fof(f6,axiom,
    a_24 = store(a_20,i2,e_23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

fof(f7,axiom,
    a_26 = store(a_22,i2,e_25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

fof(f8,axiom,
    a_28 = store(a_24,i3,e_27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

fof(f9,axiom,
    a_30 = store(a_26,i3,e_29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

fof(f10,axiom,
    a_32 = store(a_28,i4,e_31),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

fof(f11,axiom,
    a_34 = store(a_30,i4,e_33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

fof(f12,axiom,
    e_19 = select(a2,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

fof(f13,axiom,
    e_21 = select(a1,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

fof(f14,axiom,
    e_23 = select(a_22,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

fof(f15,axiom,
    e_25 = select(a_20,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

fof(f16,axiom,
    e_27 = select(a_26,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

fof(f17,axiom,
    e_29 = select(a_24,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

fof(f18,axiom,
    e_31 = select(a_30,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

fof(f19,axiom,
    e_33 = select(a_28,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

fof(f20,axiom,
    e_36 = select(a1,i_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

fof(f21,axiom,
    e_37 = select(a2,i_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

fof(f23,axiom,
    a_32 = a_34,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

fof(f24,negated_conjecture,
    e_36 != e_37,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

fof(f25,plain,
    store(a_28,i4,e_31) = a_34,
    inference(definition_unfolding,[],[f10,f23]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( select(store(X0,X1,X2),X3) = select(X0,X3) ) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i] : store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_76,plain,
    store(a1,i1,e_19) = a_20,
    inference(cnf_transformation,[],[f4]) ).

tcf(c_77,plain,
    store(a2,i1,e_21) = a_22,
    inference(cnf_transformation,[],[f5]) ).

tcf(c_78,plain,
    store(a_20,i2,e_23) = a_24,
    inference(cnf_transformation,[],[f6]) ).

tcf(c_79,plain,
    store(a_22,i2,e_25) = a_26,
    inference(cnf_transformation,[],[f7]) ).

tcf(c_80,plain,
    store(a_24,i3,e_27) = a_28,
    inference(cnf_transformation,[],[f8]) ).

tcf(c_81,plain,
    store(a_26,i3,e_29) = a_30,
    inference(cnf_transformation,[],[f9]) ).

tcf(c_82,plain,
    store(a_28,i4,e_31) = a_34,
    inference(cnf_transformation,[],[f25]) ).

tcf(c_83,plain,
    store(a_30,i4,e_33) = a_34,
    inference(cnf_transformation,[],[f11]) ).

tcf(c_84,plain,
    select(a2,i1) = e_19,
    inference(cnf_transformation,[],[f12]) ).

tcf(c_85,plain,
    select(a1,i1) = e_21,
    inference(cnf_transformation,[],[f13]) ).

tcf(c_86,plain,
    select(a_22,i2) = e_23,
    inference(cnf_transformation,[],[f14]) ).

tcf(c_87,plain,
    select(a_20,i2) = e_25,
    inference(cnf_transformation,[],[f15]) ).

tcf(c_88,plain,
    select(a_26,i3) = e_27,
    inference(cnf_transformation,[],[f16]) ).

tcf(c_89,plain,
    select(a_24,i3) = e_29,
    inference(cnf_transformation,[],[f17]) ).

tcf(c_90,plain,
    select(a_30,i4) = e_31,
    inference(cnf_transformation,[],[f18]) ).

tcf(c_91,plain,
    select(a_28,i4) = e_33,
    inference(cnf_transformation,[],[f19]) ).

tcf(c_92,plain,
    select(a1,i_35) = e_36,
    inference(cnf_transformation,[],[f20]) ).

tcf(c_93,plain,
    select(a2,i_35) = e_37,
    inference(cnf_transformation,[],[f21]) ).

tcf(c_95,negated_conjecture,
    e_36 != e_37,
    inference(cnf_transformation,[],[f24]) ).

tcf(c_154,negated_conjecture,
    e_36 != e_37,
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_240,plain,
    select(a_20,i1) = e_19,
    inference(superposition,[status(thm)],[c_76,c_73]) ).

tcf(c_241,plain,
    select(a_22,i1) = e_21,
    inference(superposition,[status(thm)],[c_77,c_73]) ).

tcf(c_242,plain,
    select(a_24,i2) = e_23,
    inference(superposition,[status(thm)],[c_78,c_73]) ).

tcf(c_243,plain,
    select(a_26,i2) = e_25,
    inference(superposition,[status(thm)],[c_79,c_73]) ).

tcf(c_244,plain,
    select(a_28,i3) = e_27,
    inference(superposition,[status(thm)],[c_80,c_73]) ).

tcf(c_245,plain,
    select(a_30,i3) = e_29,
    inference(superposition,[status(thm)],[c_81,c_73]) ).

tcf(c_246,plain,
    select(a_34,i4) = e_31,
    inference(superposition,[status(thm)],[c_82,c_73]) ).

tcf(c_247,plain,
    select(a_34,i4) = e_33,
    inference(superposition,[status(thm)],[c_83,c_73]) ).

tcf(c_251,plain,
    ! [X0: $i] :
      ( ( X0 = i1 )
      | ( select(a_20,X0) = select(a1,X0) ) ),
    inference(superposition,[status(thm)],[c_76,c_74]) ).

tcf(c_252,plain,
    ! [X0: $i] :
      ( ( X0 = i1 )
      | ( select(a_22,X0) = select(a2,X0) ) ),
    inference(superposition,[status(thm)],[c_77,c_74]) ).

tcf(c_253,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( select(a_20,X0) = select(a_24,X0) ) ),
    inference(superposition,[status(thm)],[c_78,c_74]) ).

tcf(c_254,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( select(a_22,X0) = select(a_26,X0) ) ),
    inference(superposition,[status(thm)],[c_79,c_74]) ).

tcf(c_255,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( select(a_24,X0) = select(a_28,X0) ) ),
    inference(superposition,[status(thm)],[c_80,c_74]) ).

tcf(c_256,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( select(a_26,X0) = select(a_30,X0) ) ),
    inference(superposition,[status(thm)],[c_81,c_74]) ).

tcf(c_257,plain,
    ! [X0: $i] :
      ( ( X0 = i4 )
      | ( select(a_28,X0) = select(a_34,X0) ) ),
    inference(superposition,[status(thm)],[c_82,c_74]) ).

tcf(c_258,plain,
    ! [X0: $i] :
      ( ( X0 = i4 )
      | ( select(a_30,X0) = select(a_34,X0) ) ),
    inference(superposition,[status(thm)],[c_83,c_74]) ).

tcf(c_339,plain,
    ! [X0: $i] : store(store(a_22,i2,select(a_22,X0)),X0,e_23) = store(store(a_22,X0,e_23),i2,select(a_22,X0)),
    inference(superposition,[status(thm)],[c_86,c_75]) ).

tcf(c_340,plain,
    ! [X0: $i] : store(store(a_20,i2,select(a_20,X0)),X0,e_25) = store(store(a_20,X0,e_25),i2,select(a_20,X0)),
    inference(superposition,[status(thm)],[c_87,c_75]) ).

tcf(c_341,plain,
    ! [X0: $i] : store(store(a_26,i3,select(a_26,X0)),X0,e_27) = store(store(a_26,X0,e_27),i3,select(a_26,X0)),
    inference(superposition,[status(thm)],[c_88,c_75]) ).

tcf(c_342,plain,
    ! [X0: $i] : store(store(a_24,i3,select(a_24,X0)),X0,e_29) = store(store(a_24,X0,e_29),i3,select(a_24,X0)),
    inference(superposition,[status(thm)],[c_89,c_75]) ).

tcf(c_343,plain,
    ! [X0: $i] : store(store(a_30,i4,select(a_30,X0)),X0,e_31) = store(store(a_30,X0,e_31),i4,select(a_30,X0)),
    inference(superposition,[status(thm)],[c_90,c_75]) ).

tcf(c_345,plain,
    ! [X0: $i] : store(store(a1,i_35,select(a1,X0)),X0,e_36) = store(store(a1,X0,e_36),i_35,select(a1,X0)),
    inference(superposition,[status(thm)],[c_92,c_75]) ).

tcf(c_351,plain,
    ! [X0: $i] : store(store(a_28,i3,select(a_28,X0)),X0,e_27) = store(store(a_28,X0,e_27),i3,select(a_28,X0)),
    inference(superposition,[status(thm)],[c_244,c_75]) ).

tcf(c_355,plain,
    ! [X0: $i,X1: $i,X2: $i] : select(store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)),X1) = select(X0,X2),
    inference(superposition,[status(thm)],[c_75,c_73]) ).

tcf(c_400,plain,
    e_31 = e_33,
    inference(light_normalisation,[status(thm)],[c_247,c_246]) ).

tcf(c_402,plain,
    select(a_28,i4) = e_31,
    inference(demodulation,[status(thm)],[c_91,c_400]) ).

tcf(c_504,plain,
    ( ( i2 = i3 )
    | ( select(a_20,i3) = e_29 ) ),
    inference(superposition,[status(thm)],[c_253,c_89]) ).

tcf(c_533,plain,
    ! [X0: $i] :
      ( ( i2 = i3 )
      | ( store(store(a_20,i3,select(a_20,X0)),X0,e_29) = store(store(a_20,X0,e_29),i3,select(a_20,X0)) ) ),
    inference(superposition,[status(thm)],[c_504,c_75]) ).

tcf(c_554,plain,
    ( ( i2 = i3 )
    | ( select(a_22,i3) = e_27 ) ),
    inference(superposition,[status(thm)],[c_254,c_88]) ).

tcf(c_566,plain,
    ! [X0: $i] :
      ( ( i2 = i3 )
      | ( store(store(a_22,i3,select(a_22,X0)),X0,e_27) = store(store(a_22,X0,e_27),i3,select(a_22,X0)) ) ),
    inference(superposition,[status(thm)],[c_554,c_75]) ).

tcf(c_591,plain,
    ( ( i3 = i4 )
    | ( select(a_24,i4) = e_31 ) ),
    inference(superposition,[status(thm)],[c_255,c_402]) ).

tcf(c_601,plain,
    ! [X0: $i] : select(store(store(a1,X0,e_36),i_35,select(a1,X0)),X0) = e_36,
    inference(superposition,[status(thm)],[c_345,c_73]) ).

tcf(c_624,plain,
    ( ( i3 = i4 )
    | ( select(a_26,i4) = e_31 ) ),
    inference(superposition,[status(thm)],[c_256,c_90]) ).

tcf(c_648,plain,
    ( ( i3 = i4 )
    | ( i2 = i4 )
    | ( select(a_22,i4) = e_31 ) ),
    inference(superposition,[status(thm)],[c_624,c_254]) ).

tcf(c_679,plain,
    ! [X0: $i] :
      ( ( X0 = i4 )
      | ( select(a_28,X0) = select(a_30,X0) ) ),
    inference(superposition,[status(thm)],[c_258,c_257]) ).

tcf(c_735,plain,
    ( ( i3 = i4 )
    | ( select(a_28,i3) = e_29 ) ),
    inference(superposition,[status(thm)],[c_679,c_245]) ).

tcf(c_736,plain,
    ! [X0: $i] :
      ( ( X0 = i4 )
      | ( X0 = i3 )
      | ( select(a_26,X0) = select(a_28,X0) ) ),
    inference(superposition,[status(thm)],[c_679,c_256]) ).

tcf(c_737,plain,
    ( ( e_27 = e_29 )
    | ( i3 = i4 ) ),
    inference(light_normalisation,[status(thm)],[c_735,c_244]) ).

tcf(c_819,plain,
    select(store(store(a1,i1,e_36),i_35,e_21),i1) = e_36,
    inference(superposition,[status(thm)],[c_85,c_601]) ).

tcf(c_837,plain,
    ! [X0: $i] : store(store(store(store(a1,i1,e_36),i_35,e_21),i1,select(store(store(a1,i1,e_36),i_35,e_21),X0)),X0,e_36) = store(store(store(store(a1,i1,e_36),i_35,e_21),X0,e_36),i1,select(store(store(a1,i1,e_36),i_35,e_21),X0)),
    inference(superposition,[status(thm)],[c_819,c_75]) ).

tcf(c_921,plain,
    ! [X0: $i] :
      ( ( X0 = i4 )
      | ( X0 = i3 )
      | ( select(a_24,X0) = select(a_26,X0) ) ),
    inference(superposition,[status(thm)],[c_736,c_255]) ).

tcf(c_994,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : select(store(store(store(X0,X1,X2),X3,X2),X1,select(store(X0,X1,X2),X3)),X3) = X2,
    inference(superposition,[status(thm)],[c_73,c_355]) ).

tcf(c_998,plain,
    ! [X0: $i] : select(store(store(a_22,X0,e_23),i2,select(a_22,X0)),X0) = e_23,
    inference(superposition,[status(thm)],[c_86,c_355]) ).

tcf(c_999,plain,
    ! [X0: $i] : select(store(store(a_20,X0,e_25),i2,select(a_20,X0)),X0) = e_25,
    inference(superposition,[status(thm)],[c_87,c_355]) ).

tcf(c_1000,plain,
    ! [X0: $i] : select(store(store(a_26,X0,e_27),i3,select(a_26,X0)),X0) = e_27,
    inference(superposition,[status(thm)],[c_88,c_355]) ).

tcf(c_1001,plain,
    ! [X0: $i] : select(store(store(a_24,X0,e_29),i3,select(a_24,X0)),X0) = e_29,
    inference(superposition,[status(thm)],[c_89,c_355]) ).

tcf(c_1002,plain,
    ! [X0: $i] : select(store(store(a_30,X0,e_31),i4,select(a_30,X0)),X0) = e_31,
    inference(superposition,[status(thm)],[c_90,c_355]) ).

tcf(c_1003,plain,
    ! [X0: $i] : select(store(store(a_28,X0,e_31),i4,select(a_28,X0)),X0) = e_31,
    inference(superposition,[status(thm)],[c_402,c_355]) ).

tcf(c_1008,plain,
    ! [X0: $i] : select(store(store(a_24,X0,e_23),i2,select(a_24,X0)),X0) = e_23,
    inference(superposition,[status(thm)],[c_242,c_355]) ).

tcf(c_1009,plain,
    ! [X0: $i] : select(store(store(a_26,X0,e_25),i2,select(a_26,X0)),X0) = e_25,
    inference(superposition,[status(thm)],[c_243,c_355]) ).

tcf(c_1010,plain,
    ! [X0: $i] : select(store(store(a_28,X0,e_27),i3,select(a_28,X0)),X0) = e_27,
    inference(superposition,[status(thm)],[c_244,c_355]) ).

tcf(c_1011,plain,
    ! [X0: $i] : select(store(store(a_30,X0,e_29),i3,select(a_30,X0)),X0) = e_29,
    inference(superposition,[status(thm)],[c_245,c_355]) ).

tcf(c_1013,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = i1 )
      | ( select(store(store(a_20,X0,select(a1,X1)),X1,select(a_20,X0)),X0) = select(a1,X1) ) ),
    inference(superposition,[status(thm)],[c_251,c_355]) ).

tcf(c_1014,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = i1 )
      | ( select(store(store(a_22,X0,select(a2,X1)),X1,select(a_22,X0)),X0) = select(a2,X1) ) ),
    inference(superposition,[status(thm)],[c_252,c_355]) ).

tcf(c_1015,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = i2 )
      | ( select(store(store(a_24,X0,select(a_20,X1)),X1,select(a_24,X0)),X0) = select(a_20,X1) ) ),
    inference(superposition,[status(thm)],[c_253,c_355]) ).

tcf(c_1016,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = i2 )
      | ( select(store(store(a_26,X0,select(a_22,X1)),X1,select(a_26,X0)),X0) = select(a_22,X1) ) ),
    inference(superposition,[status(thm)],[c_254,c_355]) ).

tcf(c_1018,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = i3 )
      | ( select(store(store(a_28,X0,select(a_24,X1)),X1,select(a_28,X0)),X0) = select(a_24,X1) ) ),
    inference(superposition,[status(thm)],[c_255,c_355]) ).

tcf(c_1020,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = i3 )
      | ( select(store(store(a_30,X0,select(a_26,X1)),X1,select(a_30,X0)),X0) = select(a_26,X1) ) ),
    inference(superposition,[status(thm)],[c_256,c_355]) ).

tcf(c_1026,plain,
    ! [X0: $i] :
      ( ( i2 = i3 )
      | ( select(store(store(a_20,X0,e_29),i3,select(a_20,X0)),X0) = e_29 ) ),
    inference(superposition,[status(thm)],[c_504,c_355]) ).

tcf(c_1028,plain,
    ! [X0: $i] :
      ( ( i2 = i3 )
      | ( select(store(store(a_22,X0,e_27),i3,select(a_22,X0)),X0) = e_27 ) ),
    inference(superposition,[status(thm)],[c_554,c_355]) ).

tcf(c_1035,plain,
    ! [X0: $i] : select(store(store(store(store(a1,i1,e_36),i_35,e_21),X0,e_36),i1,select(store(store(a1,i1,e_36),i_35,e_21),X0)),X0) = e_36,
    inference(superposition,[status(thm)],[c_819,c_355]) ).

tcf(c_1558,plain,
    ! [X0: $i] :
      ( ( X0 = i1 )
      | ( select(store(store(a_22,X0,e_23),i2,select(a2,X0)),X0) = e_23 ) ),
    inference(superposition,[status(thm)],[c_252,c_998]) ).

tcf(c_1621,plain,
    ! [X0: $i] :
      ( ( X0 = i1 )
      | ( select(store(store(a_20,X0,e_25),i2,select(a1,X0)),X0) = e_25 ) ),
    inference(superposition,[status(thm)],[c_251,c_999]) ).

tcf(c_1708,plain,
    select(store(store(a_26,i2,e_27),i3,e_25),i2) = e_27,
    inference(superposition,[status(thm)],[c_243,c_1000]) ).

tcf(c_1771,plain,
    select(store(store(a_24,i2,e_29),i3,e_23),i2) = e_29,
    inference(superposition,[status(thm)],[c_242,c_1001]) ).

tcf(c_1861,plain,
    select(store(store(a_30,i3,e_31),i4,e_29),i3) = e_31,
    inference(superposition,[status(thm)],[c_245,c_1002]) ).

tcf(c_2056,plain,
    select(store(store(a_28,i3,e_31),i4,e_27),i3) = e_31,
    inference(superposition,[status(thm)],[c_244,c_1003]) ).

tcf(c_2237,plain,
    select(store(store(a_24,i3,e_23),i2,e_29),i3) = e_23,
    inference(superposition,[status(thm)],[c_89,c_1008]) ).

tcf(c_2322,plain,
    select(store(store(a_26,i3,e_25),i2,e_27),i3) = e_25,
    inference(superposition,[status(thm)],[c_88,c_1009]) ).

tcf(c_2371,plain,
    select(store(store(a_28,i4,e_27),i3,e_31),i4) = e_27,
    inference(superposition,[status(thm)],[c_402,c_1010]) ).

tcf(c_2433,plain,
    select(store(store(a_30,i4,e_29),i3,e_31),i4) = e_29,
    inference(superposition,[status(thm)],[c_90,c_1011]) ).

tcf(c_2630,plain,
    store(store(a_26,i2,e_27),i3,e_25) = store(store(a_26,i3,e_25),i2,e_27),
    inference(superposition,[status(thm)],[c_243,c_341]) ).

tcf(c_2643,plain,
    store(store(a_24,i2,e_29),i3,e_23) = store(store(a_24,i3,e_23),i2,e_29),
    inference(superposition,[status(thm)],[c_242,c_342]) ).

tcf(c_2675,plain,
    store(store(a_30,i3,e_31),i4,e_29) = store(store(a_30,i4,e_29),i3,e_31),
    inference(superposition,[status(thm)],[c_245,c_343]) ).

tcf(c_2824,plain,
    ( ( i2 = i4 )
    | ( i2 = i3 )
    | ( select(a_24,i2) = e_25 ) ),
    inference(superposition,[status(thm)],[c_921,c_243]) ).

tcf(c_2828,plain,
    ! [X0: $i] :
      ( ( X0 = i4 )
      | ( X0 = i3 )
      | ( X0 = i2 )
      | ( select(a_22,X0) = select(a_24,X0) ) ),
    inference(superposition,[status(thm)],[c_921,c_254]) ).

tcf(c_2830,plain,
    ( ( e_23 = e_25 )
    | ( i2 = i4 )
    | ( i2 = i3 ) ),
    inference(light_normalisation,[status(thm)],[c_2824,c_242]) ).

tcf(c_4055,plain,
    store(store(a_28,i3,e_31),i4,e_27) = store(store(a_28,i4,e_27),i3,e_31),
    inference(superposition,[status(thm)],[c_402,c_351]) ).

tcf(c_5139,plain,
    select(store(store(store(store(a1,i1,e_36),i_35,e_21),i1,e_21),i_35,e_36),i1) = e_21,
    inference(superposition,[status(thm)],[c_819,c_994]) ).

tcf(c_6212,plain,
    ( ( i1 = i_35 )
    | ( select(store(store(a_22,i_35,e_23),i2,e_37),i_35) = e_23 ) ),
    inference(superposition,[status(thm)],[c_93,c_1558]) ).

tcf(c_6364,plain,
    store(store(store(store(a1,i1,e_36),i_35,e_21),i1,e_21),i_35,e_36) = store(store(store(store(a1,i1,e_36),i_35,e_21),i_35,e_36),i1,e_21),
    inference(superposition,[status(thm)],[c_73,c_837]) ).

tcf(c_6602,plain,
    ( ( i1 = i_35 )
    | ( select(store(store(a_20,i_35,e_25),i2,e_36),i_35) = e_25 ) ),
    inference(superposition,[status(thm)],[c_92,c_1621]) ).

tcf(c_15903,plain,
    ! [X0: $i] :
      ( ( X0 = i4 )
      | ( X0 = i3 )
      | ( X0 = i2 )
      | ( select(a_20,X0) = select(a_22,X0) ) ),
    inference(superposition,[status(thm)],[c_2828,c_253]) ).

tcf(c_17216,plain,
    select(store(store(store(store(a1,i1,e_36),i_35,e_21),i_35,e_36),i1,e_21),i_35) = e_36,
    inference(superposition,[status(thm)],[c_73,c_1035]) ).

tcf(c_18430,plain,
    ( ( i1 = i4 )
    | ( i1 = i3 )
    | ( i1 = i2 )
    | ( select(a_20,i1) = e_21 ) ),
    inference(superposition,[status(thm)],[c_15903,c_241]) ).

tcf(c_18442,plain,
    ( ( e_19 = e_21 )
    | ( i1 = i4 )
    | ( i1 = i3 )
    | ( i1 = i2 ) ),
    inference(light_normalisation,[status(thm)],[c_18430,c_240]) ).

tcf(c_19142,plain,
    ! [X0: $i] :
      ( ( i1 = i_35 )
      | ( select(store(store(a_20,X0,e_36),i_35,select(a_20,X0)),X0) = e_36 ) ),
    inference(superposition,[status(thm)],[c_92,c_1013]) ).

tcf(c_19329,plain,
    ( ( i1 = i_35 )
    | ( select(store(store(a_20,i2,e_36),i_35,e_25),i2) = e_36 ) ),
    inference(superposition,[status(thm)],[c_87,c_19142]) ).

tcf(c_19332,plain,
    ( ( i2 = i3 )
    | ( i1 = i_35 )
    | ( select(store(store(a_20,i3,e_36),i_35,e_29),i3) = e_36 ) ),
    inference(superposition,[status(thm)],[c_504,c_19142]) ).

tcf(c_19334,plain,
    ( ( i1 = i_35 )
    | ( select(a_20,i_35) = e_36 ) ),
    inference(superposition,[status(thm)],[c_19142,c_73]) ).

tcf(c_19459,plain,
    ( ( i2 = i3 )
    | ( i1 = i_35 )
    | ( select(store(store(a_20,i_35,e_29),i3,e_36),i_35) = e_29 ) ),
    inference(superposition,[status(thm)],[c_19334,c_1026]) ).

tcf(c_19462,plain,
    ( ( i1 = i_35 )
    | ( store(store(a_20,i2,e_36),i_35,e_25) = store(store(a_20,i_35,e_25),i2,e_36) ) ),
    inference(superposition,[status(thm)],[c_19334,c_340]) ).

tcf(c_19911,plain,
    ( ( i2 = i3 )
    | ( i1 = i_35 )
    | ( store(store(a_20,i3,e_36),i_35,e_29) = store(store(a_20,i_35,e_29),i3,e_36) ) ),
    inference(superposition,[status(thm)],[c_19334,c_533]) ).

tcf(c_20896,plain,
    ! [X0: $i] :
      ( ( i1 = i_35 )
      | ( select(store(store(a_22,X0,e_37),i_35,select(a_22,X0)),X0) = e_37 ) ),
    inference(superposition,[status(thm)],[c_93,c_1014]) ).

tcf(c_21106,plain,
    ( ( i1 = i_35 )
    | ( select(store(store(a_22,i2,e_37),i_35,e_23),i2) = e_37 ) ),
    inference(superposition,[status(thm)],[c_86,c_20896]) ).

tcf(c_21110,plain,
    ( ( i2 = i3 )
    | ( i1 = i_35 )
    | ( select(store(store(a_22,i3,e_37),i_35,e_27),i3) = e_37 ) ),
    inference(superposition,[status(thm)],[c_554,c_20896]) ).

tcf(c_21112,plain,
    ( ( i1 = i_35 )
    | ( select(a_22,i_35) = e_37 ) ),
    inference(superposition,[status(thm)],[c_20896,c_73]) ).

tcf(c_21216,plain,
    ( ( i2 = i3 )
    | ( i1 = i_35 )
    | ( store(store(a_22,i3,e_37),i_35,e_27) = store(store(a_22,i_35,e_27),i3,e_37) ) ),
    inference(superposition,[status(thm)],[c_21112,c_566]) ).

tcf(c_21217,plain,
    ( ( i4 = i_35 )
    | ( i3 = i_35 )
    | ( i2 = i_35 )
    | ( i1 = i_35 )
    | ( select(a_20,i_35) = e_37 ) ),
    inference(superposition,[status(thm)],[c_21112,c_15903]) ).

tcf(c_21221,plain,
    ( ( i2 = i3 )
    | ( i1 = i_35 )
    | ( select(store(store(a_22,i_35,e_27),i3,e_37),i_35) = e_27 ) ),
    inference(superposition,[status(thm)],[c_21112,c_1028]) ).

tcf(c_21224,plain,
    ( ( i1 = i_35 )
    | ( store(store(a_22,i2,e_37),i_35,e_23) = store(store(a_22,i_35,e_23),i2,e_37) ) ),
    inference(superposition,[status(thm)],[c_21112,c_339]) ).

tcf(c_22113,plain,
    ! [X0: $i] :
      ( ( i1 = i2 )
      | ( select(store(store(a_24,X0,e_19),i1,select(a_24,X0)),X0) = e_19 ) ),
    inference(superposition,[status(thm)],[c_240,c_1015]) ).

tcf(c_22117,plain,
    ! [X0: $i] :
      ( ( i2 = i_35 )
      | ( i1 = i_35 )
      | ( select(store(store(a_24,X0,e_36),i_35,select(a_24,X0)),X0) = e_36 ) ),
    inference(superposition,[status(thm)],[c_19334,c_1015]) ).

tcf(c_22989,plain,
    ( ( i1 = i2 )
    | ( select(a_24,i1) = e_19 ) ),
    inference(superposition,[status(thm)],[c_22113,c_73]) ).

tcf(c_24537,plain,
    ! [X0: $i] :
      ( ( i1 = i2 )
      | ( select(store(store(a_26,X0,e_21),i1,select(a_26,X0)),X0) = e_21 ) ),
    inference(superposition,[status(thm)],[c_241,c_1016]) ).

tcf(c_25020,plain,
    ( ( i1 = i2 )
    | ( select(a_26,i1) = e_21 ) ),
    inference(superposition,[status(thm)],[c_24537,c_73]) ).

tcf(c_27628,plain,
    ! [X0: $i] :
      ( ( i2 = i3 )
      | ( select(store(store(a_28,X0,e_23),i2,select(a_28,X0)),X0) = e_23 ) ),
    inference(superposition,[status(thm)],[c_242,c_1018]) ).

tcf(c_27736,plain,
    ( ( i2 = i3 )
    | ( select(a_28,i2) = e_23 ) ),
    inference(superposition,[status(thm)],[c_27628,c_73]) ).

tcf(c_29447,plain,
    ! [X0: $i] :
      ( ( i2 = i3 )
      | ( select(store(store(a_30,X0,e_25),i2,select(a_30,X0)),X0) = e_25 ) ),
    inference(superposition,[status(thm)],[c_243,c_1020]) ).

tcf(c_29687,plain,
    ( ( i2 = i3 )
    | ( select(a_30,i2) = e_25 ) ),
    inference(superposition,[status(thm)],[c_29447,c_73]) ).

tcf(c_49532,plain,
    ( ( e_36 = e_37 )
    | ( i4 = i_35 )
    | ( i3 = i_35 )
    | ( i2 = i_35 )
    | ( i1 = i_35 ) ),
    inference(superposition,[status(thm)],[c_21217,c_19334]) ).

tcf(c_49533,plain,
    ( ( i4 = i_35 )
    | ( i3 = i_35 )
    | ( i2 = i_35 )
    | ( i1 = i_35 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_49532,c_154]) ).

tcf(c_49612,plain,
    ( ( i3 = i_35 )
    | ( i2 = i_35 )
    | ( i1 = i_35 )
    | ( select(a_22,i4) = e_37 ) ),
    inference(superposition,[status(thm)],[c_49533,c_21112]) ).

tcf(c_50642,plain,
    ( ( e_31 = e_37 )
    | ( i3 = i_35 )
    | ( i3 = i4 )
    | ( i2 = i_35 )
    | ( i2 = i4 )
    | ( i1 = i_35 ) ),
    inference(superposition,[status(thm)],[c_49612,c_648]) ).

tcf(c_53175,plain,
    ( ( i2 = i_35 )
    | ( i1 = i_35 )
    | ( select(a_24,i_35) = e_36 ) ),
    inference(superposition,[status(thm)],[c_22117,c_73]) ).

tcf(c_53273,plain,
    ( ( i3 = i_35 )
    | ( i2 = i_35 )
    | ( i1 = i_35 )
    | ( select(a_24,i4) = e_36 ) ),
    inference(superposition,[status(thm)],[c_49533,c_53175]) ).

tcf(c_57481,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_53273,c_50642,c_49533,c_29687,c_27736,c_25020,c_22989,c_21224,c_21221,c_21216,c_21110,c_21106,c_19911,c_19462,c_19459,c_19332,c_19329,c_18442,c_17216,c_6602,c_6364,c_6212,c_5139,c_4055,c_2830,c_2675,c_2643,c_2630,c_2433,c_2371,c_2322,c_2237,c_2056,c_1861,c_1771,c_1708,c_737,c_624,c_591,c_504,c_402,c_243,c_242,c_241,c_240,c_154,c_93,c_90,c_89,c_88,c_87,c_86,c_84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV565-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.34  % Computer : n010.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Thu Sep 24 20:34:45 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  Running first-order theorem proving
% 0.11/0.38  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.40  
% 0.11/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.40  
% 0.11/0.40  % Detected problem language: tptp
% 0.11/0.41  % Proving...
% 13.84/5.25  % SZS status Started for theBenchmark.p
% 13.84/5.25  % SZS status Unsatisfiable for theBenchmark.p
% 13.84/5.25  
% 13.84/5.25  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.84/5.25  
% 13.84/5.25  % ------  iProver source info
% 13.84/5.25  
% 13.84/5.25  % git: date: 2026-07-19 20:42:38 +0200
% 13.84/5.25  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.84/5.25  % git: non_committed_changes: false
% 13.84/5.25  
% 13.84/5.25  % ------ Parsing...% successful
% 13.84/5.25  
% 13.84/5.25  
% 13.84/5.25  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 13.84/5.25  
% 13.84/5.25  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 13.84/5.25  
% 13.84/5.25  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 13.84/5.25  
% 13.84/5.25  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 13.84/5.25  % ------ Proving...
% 13.84/5.25  % ------ Problem Properties 
% 13.84/5.25  
% 13.84/5.25  % 
% 13.84/5.25  % clauses                               23
% 13.84/5.25  % conjectures                           1
% 13.84/5.25  % EPR                                   1
% 13.84/5.25  % Horn                                  22
% 13.84/5.25  % unary                                 22
% 13.84/5.25  % binary                                1
% 13.84/5.25  % lits                                  24
% 13.84/5.25  % lits eq                               24
% 13.84/5.25  % fd_pure                               0
% 13.84/5.25  % fd_pseudo                             0
% 13.84/5.25  % fd_cond                               0
% 13.84/5.25  % fd_pseudo_cond                        1
% 13.84/5.25  % AC symbols                            0
% 13.84/5.25  
% 13.84/5.25  % ------ Schedule dynamic 5 is on 
% 13.84/5.25  
% 13.84/5.25  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.84/5.25  
% 13.84/5.25  
% 13.84/5.25  % ------ 
% 13.84/5.25  % Current options:
% 13.84/5.25  % ------ 
% 13.84/5.25  
% 13.84/5.25  
% 13.84/5.25  % 
% 13.84/5.25  
% 13.84/5.25  % ------ Proving...
% 13.84/5.25  % 
% 13.84/5.25  
% 13.84/5.25  % SZS status Unsatisfiable for theBenchmark.p
% 13.84/5.25  
% 13.84/5.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.84/5.26  
% 13.84/5.26  
%------------------------------------------------------------------------------