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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ANA019-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n026.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 12:55:38 PM UTC 2026

% Result   : Unsatisfiable 1.95s 1.17s
% Output   : CNFRefutation 1.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   93 (  46 unt;   8 def)
%            Number of atoms       :  222 (  58 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  134 (  66   ~;  68   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;   9 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   72 (   0 sgn  72   !;   0   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    v_f(c_0) = c_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,plain,
    c_0 = v_f(c_0),
    inference(reorient_equations,[],[f1]) ).

fof(f3,negated_conjecture,
    c_less(c_0,v_x,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f4,negated_conjecture,
    ! [X0] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f5,negated_conjecture,
    ! [X0] :
      ( ~ c_less(c_0,X0,t_a)
      | ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f6,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f7,axiom,
    ! [X0] :
      ( X0 = c_Suc(c_minus(X0,c_1,tc_nat))
      | ~ c_less(c_0,X0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).

fof(f8,plain,
    ! [X0] :
      ( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
      | ~ c_less(c_0,X0,tc_nat) ),
    inference(reorient_equations,[],[f7]) ).

fof(f9,axiom,
    ! [X0] :
      ( X0 = c_0
      | c_less(c_0,X0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).

fof(f10,plain,
    ! [X0] :
      ( c_0 = X0
      | c_less(c_0,X0,tc_nat) ),
    inference(reorient_equations,[],[f9]) ).

fof(f11,axiom,
    ! [X0] :
      ( c_HOL_Oabs(c_0,X0) = c_0
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1) ).

fof(f12,plain,
    ! [X0] :
      ( c_0 = c_HOL_Oabs(c_0,X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(reorient_equations,[],[f11]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X1,X2,X0)
      | ~ c_less(X1,X2,X0)
      | ~ class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

fof(f15,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(c_0,c_times(X2,X1,X0),X0)
      | ~ c_lessequals(c_0,X2,X0)
      | ~ c_lessequals(c_0,X1,X0)
      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).

fof(f16,axiom,
    ! [X0] :
      ( class_Orderings_Oorder(X0)
      | ~ class_LOrder_Ojoin__semilorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

fof(f17,axiom,
    ! [X0] :
      ( class_LOrder_Ojoin__semilorder(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).

fof(f18,axiom,
    ! [X0] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).

fof(f19,axiom,
    ! [X0] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

tcf(c_64,negated_conjecture,
    v_f(c_0) = c_0,
    inference(cnf_transformation,[],[f2]) ).

tcf(c_65,negated_conjecture,
    c_less(c_0,v_x,t_a),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_66,negated_conjecture,
    ! [X0: $i] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_67,negated_conjecture,
    ! [X0: $i] :
      ( ~ c_less(c_0,X0,t_a)
      | ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_68,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_a),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_69,plain,
    ! [X0: $i] :
      ( ( c_Suc(c_minus(X0,c_1,tc_nat)) = X0 )
      | ~ c_less(c_0,X0,tc_nat) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_70,plain,
    ! [X0: $i] :
      ( c_less(c_0,X0,tc_nat)
      | ( X0 = c_0 ) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_71,plain,
    ! [X0: $i] :
      ( ( c_HOL_Oabs(c_0,X0) = c_0 )
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,X1,X2)
      | ~ class_Orderings_Oorder(X2)
      | ~ c_less(X0,X1,X2) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(c_0,c_times(X2,X0,X1),X1)
      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
      | ~ c_lessequals(c_0,X2,X1)
      | ~ c_lessequals(c_0,X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_75,plain,
    ! [X0: $i] :
      ( class_Orderings_Oorder(X0)
      | ~ class_LOrder_Ojoin__semilorder(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_76,plain,
    ! [X0: $i] :
      ( class_LOrder_Ojoin__semilorder(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_77,plain,
    ! [X0: $i] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_78,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_209,plain,
    ! [X0: $i,X1: $i] :
      ( class_Orderings_Oorder(X1)
      | ~ class_Ring__and__Field_Oordered__idom(X0)
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_76,c_75]) ).

tcf(c_210,plain,
    ! [X0: $i] :
      ( class_Orderings_Oorder(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(unflattening,[status(thm)],[c_209]) ).

tcf(c_220,plain,
    ! [X0: $i] :
      ( class_Orderings_Oorder(X0)
      | ( X0 != t_a ) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_210]) ).

tcf(c_221,plain,
    class_Orderings_Oorder(t_a),
    inference(unflattening,[status(thm)],[c_220]) ).

tcf(c_225,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ( X0 != t_a ) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_78]) ).

tcf(c_226,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_a),
    inference(unflattening,[status(thm)],[c_225]) ).

tcf(c_230,plain,
    ! [X0: $i] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
      | ( X0 != t_a ) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_77]) ).

tcf(c_231,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(t_a),
    inference(unflattening,[status(thm)],[c_230]) ).

tcf(c_238,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
      | ( X0 != t_a ) ),
    inference(resolution_lifted,[status(thm)],[c_72,c_226]) ).

tcf(c_239,plain,
    ! [X0: $i] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
    inference(unflattening,[status(thm)],[c_238]) ).

tcf(c_244,plain,
    ! [X0: $i] :
      ( ( c_HOL_Oabs(c_0,X0) = c_0 )
      | ( X0 != t_a ) ),
    inference(resolution_lifted,[status(thm)],[c_71,c_226]) ).

tcf(c_245,plain,
    c_HOL_Oabs(c_0,t_a) = c_0,
    inference(unflattening,[status(thm)],[c_244]) ).

tcf(c_251,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X1,X2,X0)
      | ~ c_less(X1,X2,X0)
      | ( X0 != t_a ) ),
    inference(resolution_lifted,[status(thm)],[c_73,c_221]) ).

tcf(c_252,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(X0,X1,t_a)
      | ~ c_less(X0,X1,t_a) ),
    inference(unflattening,[status(thm)],[c_251]) ).

tcf(c_262,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(c_0,c_times(X2,X1,X0),X0)
      | ~ c_lessequals(c_0,X2,X0)
      | ~ c_lessequals(c_0,X1,X0)
      | ( X0 != t_a ) ),
    inference(resolution_lifted,[status(thm)],[c_74,c_231]) ).

tcf(c_263,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(c_0,c_times(X1,X0,t_a),t_a)
      | ~ c_lessequals(c_0,X1,t_a)
      | ~ c_lessequals(c_0,X0,t_a) ),
    inference(unflattening,[status(thm)],[c_262]) ).

tcf(c_277,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = c_0 )
      | ( c_Suc(c_minus(X1,c_1,tc_nat)) = X1 )
      | ( tc_nat != tc_nat )
      | ( c_0 != c_0 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_70,c_69]) ).

tcf(c_278,plain,
    ! [X0: $i] :
      ( ( X0 = c_0 )
      | ( c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ) ),
    inference(unflattening,[status(thm)],[c_277]) ).

tcf(c_286,plain,
    ! [X0: $i] :
      ( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
      | ( t_a != t_a )
      | ( c_0 != c_0 )
      | ( X0 != v_x ) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_67]) ).

tcf(c_287,plain,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x)),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a),
    inference(unflattening,[status(thm)],[c_286]) ).

tcf(c_299,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(X0,X1,t_a)
      | ( t_a != t_a )
      | ( X1 != v_x )
      | ( X0 != c_0 ) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_252]) ).

tcf(c_300,plain,
    c_lessequals(c_0,v_x,t_a),
    inference(unflattening,[status(thm)],[c_299]) ).

tcf(c_415,definition,
    iPr_def_12 = v_xa(v_x),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_416,definition,
    iPr_def_13 = v_f(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_417,definition,
    iPr_def_14 = c_HOL_Oabs(iPr_def_13,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_418,definition,
    iPr_def_15 = v_h(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_419,definition,
    iPr_def_16 = c_HOL_Oabs(iPr_def_15,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_420,definition,
    iPr_def_17 = c_times(v_x,iPr_def_16,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_421,definition,
    iPr_def_18 = c_HOL_Oabs(c_0,t_a),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_422,definition,
    iPr_def_19 = v_f(c_0),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_425,plain,
    c_lessequals(c_0,v_x,t_a),
    inference(demodulation,[status(thm)],[c_300]) ).

tcf(c_427,plain,
    ~ c_lessequals(iPr_def_14,iPr_def_17,t_a),
    inference(demodulation,[status(thm)],[c_287,c_418,c_419,c_420,c_415,c_416,c_417]) ).

tcf(c_428,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(c_0,c_times(X1,X0,t_a),t_a)
      | ~ c_lessequals(c_0,X1,t_a)
      | ~ c_lessequals(c_0,X0,t_a) ),
    inference(demodulation,[status(thm)],[c_263]) ).

tcf(c_429,plain,
    iPr_def_18 = c_0,
    inference(demodulation,[status(thm)],[c_245,c_421]) ).

tcf(c_430,plain,
    ! [X0: $i] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
    inference(demodulation,[status(thm)],[c_239]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_432,negated_conjecture,
    iPr_def_19 = c_0,
    inference(demodulation,[status(thm)],[c_64,c_422]) ).

tcf(c_683,plain,
    iPr_def_18 = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_432,c_429]) ).

tcf(c_684,plain,
    c_lessequals(iPr_def_18,v_x,t_a),
    inference(light_normalisation,[status(thm)],[c_425,c_429]) ).

tcf(c_697,plain,
    ! [X0: $i] : c_lessequals(iPr_def_18,c_HOL_Oabs(X0,t_a),t_a),
    inference(light_normalisation,[status(thm)],[c_430,c_429]) ).

tcf(c_698,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_18 )
      | ( c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_278,c_429]) ).

tcf(c_705,plain,
    ! [X0: $i] :
      ( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_x,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
      | ( X0 = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_698,c_431]) ).

tcf(c_710,plain,
    v_f(iPr_def_18) = iPr_def_18,
    inference(light_normalisation,[status(thm)],[c_422,c_429,c_683]) ).

tcf(c_712,plain,
    c_lessequals(iPr_def_18,iPr_def_16,t_a),
    inference(superposition,[status(thm)],[c_419,c_697]) ).

tcf(c_719,plain,
    ( c_lessequals(c_HOL_Oabs(v_f(iPr_def_12),t_a),c_times(v_x,c_HOL_Oabs(iPr_def_15,t_a),t_a),t_a)
    | ( iPr_def_12 = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_418,c_705]) ).

tcf(c_720,plain,
    ( c_lessequals(iPr_def_14,iPr_def_17,t_a)
    | ( iPr_def_12 = iPr_def_18 ) ),
    inference(light_normalisation,[status(thm)],[c_719,c_416,c_417,c_419,c_420]) ).

tcf(c_721,plain,
    iPr_def_12 = iPr_def_18,
    inference(forward_subsumption_resolution,[status(thm)],[c_720,c_427]) ).

tcf(c_724,plain,
    v_f(iPr_def_12) = iPr_def_12,
    inference(demodulation,[status(thm)],[c_710,c_721]) ).

tcf(c_727,plain,
    c_0 = iPr_def_12,
    inference(demodulation,[status(thm)],[c_429,c_721]) ).

tcf(c_729,plain,
    c_lessequals(iPr_def_12,v_x,t_a),
    inference(demodulation,[status(thm)],[c_684,c_721]) ).

tcf(c_736,plain,
    iPr_def_12 = iPr_def_13,
    inference(demodulation,[status(thm)],[c_416,c_724]) ).

tcf(c_737,plain,
    c_HOL_Oabs(iPr_def_12,t_a) = iPr_def_14,
    inference(demodulation,[status(thm)],[c_417,c_736]) ).

tcf(c_747,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(iPr_def_12,c_times(X1,X0,t_a),t_a)
      | ~ c_lessequals(iPr_def_12,X1,t_a)
      | ~ c_lessequals(iPr_def_12,X0,t_a) ),
    inference(light_normalisation,[status(thm)],[c_428,c_727]) ).

tcf(c_757,plain,
    iPr_def_12 = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_421,c_721,c_727,c_737]) ).

tcf(c_759,plain,
    ~ c_lessequals(iPr_def_12,iPr_def_17,t_a),
    inference(demodulation,[status(thm)],[c_427,c_757]) ).

tcf(c_760,plain,
    ( c_lessequals(iPr_def_12,iPr_def_17,t_a)
    | ~ c_lessequals(iPr_def_12,iPr_def_16,t_a)
    | ~ c_lessequals(iPr_def_12,v_x,t_a) ),
    inference(superposition,[status(thm)],[c_420,c_747]) ).

tcf(c_764,plain,
    c_lessequals(iPr_def_12,iPr_def_16,t_a),
    inference(light_normalisation,[status(thm)],[c_712,c_721]) ).

tcf(c_793,plain,
    ~ c_lessequals(iPr_def_12,iPr_def_16,t_a),
    inference(global_subsumption_just,[status(thm)],[c_760,c_729,c_759,c_760]) ).

tcf(c_795,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_793,c_764]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ANA019-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n026.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep 25 05:48:40 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.12/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 1.95/1.17  % SZS status Started for theBenchmark.p
% 1.95/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.95/1.17  
% 1.95/1.17  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.95/1.17  
% 1.95/1.17  % ------  iProver source info
% 1.95/1.17  
% 1.95/1.17  % git: date: 2026-07-19 20:42:38 +0200
% 1.95/1.17  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.95/1.17  % git: non_committed_changes: false
% 1.95/1.17  
% 1.95/1.17  % ------ Parsing...% successful
% 1.95/1.17  
% 1.95/1.17  
% 1.95/1.17  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.95/1.17  
% 1.95/1.17  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 1.95/1.17  
% 1.95/1.17  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.95/1.17  
% 1.95/1.17  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.95/1.17  % ------ Proving...
% 1.95/1.17  % ------ Problem Properties 
% 1.95/1.17  
% 1.95/1.17  % 
% 1.95/1.17  % clauses                               21
% 1.95/1.17  % conjectures                           2
% 1.95/1.17  % EPR                                   6
% 1.95/1.17  % Horn                                  19
% 1.95/1.17  % unary                                 16
% 1.95/1.17  % binary                                2
% 1.95/1.17  % lits                                  29
% 1.95/1.17  % lits eq                               20
% 1.95/1.17  % fd_pure                               0
% 1.95/1.17  % fd_pseudo                             0
% 1.95/1.17  % fd_cond                               2
% 1.95/1.17  % fd_pseudo_cond                        0
% 1.95/1.17  % AC symbols                            0
% 1.95/1.17  
% 1.95/1.17  % ------ Schedule dynamic 5 is on 
% 1.95/1.17  
% 1.95/1.17  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.95/1.17  
% 1.95/1.17  
% 1.95/1.17  % ------ 
% 1.95/1.17  % Current options:
% 1.95/1.17  % ------ 
% 1.95/1.17  
% 1.95/1.17  
% 1.95/1.17  % 
% 1.95/1.17  
% 1.95/1.17  % ------ Proving...
% 1.95/1.17  % 
% 1.95/1.17  
% 1.95/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.95/1.17  
% 1.95/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.95/1.17  
% 1.95/1.17  
%------------------------------------------------------------------------------