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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : HWV022-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n013.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 01:40:00 PM UTC 2026

% Result   : Unsatisfiable 7.62s 1.73s
% Output   : CNFRefutation 7.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  101 (  41 unt;   4 def)
%            Number of atoms       :  336 (  46 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  238 (  97   ~; 141   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   66 (   0 sgn  66   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] : gt(plus(X0,n1),n0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_2) ).

fof(f3,axiom,
    ! [X0] :
      ( gt(X0,minus(X0,n1))
      | ~ gt(X0,n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_3) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( def_10(X1,X0)
      | plus(X2,X1) = X0
      | minus(X0,X1) != X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_4) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ def_10(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_6) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( gt(plus(X0,n1),plus(X1,n1))
      | ~ gt(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_8) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X1 = X0
      | gt(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_12) ).

fof(f15,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | gt(X0,X1) ),
    inference(reorient_equations,[],[f14]) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( ~ gt(X1,X2)
      | gt(X0,X2)
      | ~ gt(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_13) ).

fof(f22,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_17) ).

fof(f24,axiom,
    ! [X0] : plus(n0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_19) ).

fof(f26,axiom,
    ! [X0] : level(X0) = int_level(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).

fof(f39,axiom,
    ! [X0] :
      ( ~ p_Wr_error(plus(X0,n1))
      | ~ p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_29) ).

fof(f44,axiom,
    ! [X0] :
      ( ~ p_Wr_error(plus(X0,n1))
      | ~ gt(fifo_length,int_level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_34) ).

fof(f45,axiom,
    ! [X0] :
      ( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
      | ~ gt(fifo_length,int_level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_35) ).

fof(f55,axiom,
    ! [X0] :
      ( p_Wr_error(plus(X0,n1))
      | gt(fifo_length,int_level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_42) ).

fof(f57,axiom,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | gt(fifo_length,int_level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_44) ).

fof(f58,plain,
    ! [X0] :
      ( int_level(X0) = int_level(plus(X0,n1))
      | gt(fifo_length,int_level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(reorient_equations,[],[f57]) ).

fof(f65,axiom,
    ! [X0] :
      ( ~ p_Wr_error(plus(X0,n1))
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_51) ).

fof(f103,axiom,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_82) ).

fof(f104,plain,
    ! [X0] :
      ( int_level(X0) = int_level(plus(X0,n1))
      | p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(reorient_equations,[],[f103]) ).

fof(f113,negated_conjecture,
    plus(level(t_139),n1) = fifo_length,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f114,plain,
    fifo_length = plus(level(t_139),n1),
    inference(reorient_equations,[],[f113]) ).

fof(f115,negated_conjecture,
    ~ p_Rd(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f116,negated_conjecture,
    p_Wr(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f117,negated_conjecture,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f118,negated_conjecture,
    level(plus(t_139,n1)) != fifo_length,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

fof(f119,plain,
    fifo_length != level(plus(t_139,n1)),
    inference(reorient_equations,[],[f118]) ).

fof(f120,plain,
    fifo_length = plus(int_level(t_139),n1),
    inference(definition_unfolding,[],[f114,f26]) ).

fof(f121,plain,
    fifo_length != int_level(plus(t_139,n1)),
    inference(definition_unfolding,[],[f119,f26]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( def_10(X1,X0)
      | plus(minus(X0,X1),X1) = X0 ),
    inference(equality_resolution,[],[f4]) ).

tcf(c_145,plain,
    ! [X0: $i] : gt(plus(X0,n1),n0),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_146,plain,
    ! [X0: $i] :
      ( gt(X0,minus(X0,n1))
      | ~ gt(X0,n0) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_147,plain,
    ! [X0: $i,X1: $i] :
      ( def_10(X1,X0)
      | ( plus(minus(X0,X1),X1) = X0 ) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_149,plain,
    ! [X0: $i,X1: $i] :
      ( ~ def_10(X1,X0)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_151,plain,
    ! [X0: $i,X1: $i] :
      ( gt(plus(X0,n1),plus(X1,n1))
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_155,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X1,X0)
      | gt(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_160,plain,
    ! [X0: $i] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_162,plain,
    ! [X0: $i] : plus(n0,X0) = X0,
    inference(cnf_transformation,[],[f24]) ).

tcf(c_171,plain,
    ! [X0: $i] :
      ( ~ p_Reset(X0)
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_176,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | ~ p_Wr_error(plus(X0,n1))
      | ~ gt(fifo_length,int_level(X0)) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_177,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | ( plus(int_level(X0),n1) = int_level(plus(X0,n1)) )
      | ~ p_Wr(X0)
      | ~ gt(fifo_length,int_level(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_184,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | p_Wr_error(plus(X0,n1))
      | gt(fifo_length,int_level(X0))
      | ~ p_Wr(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_186,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | gt(fifo_length,int_level(X0))
      | ( int_level(plus(X0,n1)) = int_level(X0) )
      | ~ p_Wr(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_193,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_224,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | p_Rd(X0)
      | ( int_level(plus(X0,n1)) = int_level(X0) ) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_233,negated_conjecture,
    plus(int_level(t_139),n1) = fifo_length,
    inference(cnf_transformation,[],[f120]) ).

tcf(c_234,negated_conjecture,
    ~ p_Rd(t_139),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_235,negated_conjecture,
    p_Wr(t_139),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_236,negated_conjecture,
    ~ p_Reset(t_139),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_237,negated_conjecture,
    int_level(plus(t_139,n1)) != fifo_length,
    inference(cnf_transformation,[],[f121]) ).

tcf(c_328,plain,
    ! [X0: $i] :
      ( ~ p_Wr_error(plus(X0,n1))
      | ~ p_Rd(X0)
      | ~ p_Wr(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_171,c_193]) ).

tcf(c_329,plain,
    ! [X0: $i] :
      ( ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(renaming,[status(thm)],[c_328]) ).

tcf(c_361,plain,
    ! [X0: $i] :
      ( ~ p_Wr(X0)
      | ~ p_Wr_error(plus(X0,n1))
      | ~ gt(fifo_length,int_level(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_171,c_176,c_329]) ).

tcf(c_372,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | gt(fifo_length,int_level(X0))
      | ( int_level(plus(X0,n1)) = int_level(X0) ) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_224,c_186]) ).

tcf(c_9702,definition,
    iPr_def_10 = plus(t_139,n1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_9703,definition,
    iPr_def_11 = int_level(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_9704,definition,
    iPr_def_12 = int_level(t_139),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_9705,definition,
    iPr_def_13 = plus(iPr_def_12,n1),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_9706,negated_conjecture,
    iPr_def_11 != fifo_length,
    inference(demodulation,[status(thm)],[c_237,c_9702,c_9703]) ).

tcf(c_9707,negated_conjecture,
    ~ p_Reset(t_139),
    inference(demodulation,[status(thm)],[c_236]) ).

tcf(c_9708,negated_conjecture,
    p_Wr(t_139),
    inference(demodulation,[status(thm)],[c_235]) ).

tcf(c_9709,negated_conjecture,
    ~ p_Rd(t_139),
    inference(demodulation,[status(thm)],[c_234]) ).

tcf(c_9710,negated_conjecture,
    iPr_def_13 = fifo_length,
    inference(demodulation,[status(thm)],[c_233,c_9704,c_9705]) ).

tcf(c_10824,plain,
    iPr_def_11 != iPr_def_13,
    inference(light_normalisation,[status(thm)],[c_9706,c_9710]) ).

tcf(c_10827,plain,
    gt(iPr_def_13,n0),
    inference(superposition,[status(thm)],[c_9705,c_145]) ).

tcf(c_11079,plain,
    ! [X0: $i] :
      ( gt(iPr_def_13,plus(X0,n1))
      | ~ gt(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_9705,c_151]) ).

tcf(c_11479,plain,
    ( gt(iPr_def_13,n1)
    | ~ gt(iPr_def_12,n0) ),
    inference(superposition,[status(thm)],[c_162,c_11079]) ).

tcf(c_11998,plain,
    ! [X0: $i] :
      ( ~ p_Wr(X0)
      | ~ p_Wr_error(plus(X0,n1))
      | ~ gt(iPr_def_13,int_level(X0)) ),
    inference(light_normalisation,[status(thm)],[c_361,c_9710]) ).

tcf(c_12009,plain,
    ( ~ p_Wr_error(iPr_def_10)
    | ~ p_Wr(t_139)
    | ~ gt(iPr_def_13,int_level(t_139)) ),
    inference(superposition,[status(thm)],[c_9702,c_11998]) ).

tcf(c_12020,plain,
    ( ~ p_Wr_error(iPr_def_10)
    | ~ p_Wr(t_139)
    | ~ gt(iPr_def_13,iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_12009,c_9704]) ).

tcf(c_12021,plain,
    ( ~ p_Wr_error(iPr_def_10)
    | ~ gt(iPr_def_13,iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12020,c_9708]) ).

tcf(c_12082,plain,
    ( gt(iPr_def_12,iPr_def_13)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ p_Wr_error(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_155,c_12021]) ).

tcf(c_12150,plain,
    ! [X0: $i] :
      ( gt(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ p_Wr_error(iPr_def_10)
      | ~ gt(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_12082,c_156]) ).

tcf(c_12438,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | p_Wr_error(plus(X0,n1))
      | gt(iPr_def_13,int_level(X0))
      | ~ p_Wr(X0) ),
    inference(light_normalisation,[status(thm)],[c_184,c_9710]) ).

tcf(c_12454,plain,
    ( p_Wr_error(iPr_def_10)
    | p_Reset(t_139)
    | p_Rd(t_139)
    | gt(iPr_def_13,int_level(t_139))
    | ~ p_Wr(t_139) ),
    inference(superposition,[status(thm)],[c_9702,c_12438]) ).

tcf(c_12472,plain,
    ( p_Wr_error(iPr_def_10)
    | p_Reset(t_139)
    | p_Rd(t_139)
    | gt(iPr_def_13,iPr_def_12)
    | ~ p_Wr(t_139) ),
    inference(light_normalisation,[status(thm)],[c_12454,c_9704]) ).

tcf(c_12473,plain,
    ( p_Wr_error(iPr_def_10)
    | gt(iPr_def_13,iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12472,c_9707,c_9709,c_9708]) ).

tcf(c_13040,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | gt(iPr_def_13,int_level(X0))
      | ( int_level(plus(X0,n1)) = int_level(X0) ) ),
    inference(light_normalisation,[status(thm)],[c_372,c_9710]) ).

tcf(c_13053,plain,
    ( p_Reset(t_139)
    | p_Rd(t_139)
    | gt(iPr_def_13,iPr_def_12)
    | ( int_level(plus(t_139,n1)) = int_level(t_139) ) ),
    inference(superposition,[status(thm)],[c_9704,c_13040]) ).

tcf(c_13067,plain,
    ( p_Reset(t_139)
    | p_Rd(t_139)
    | gt(iPr_def_13,iPr_def_12)
    | ( iPr_def_11 = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_13053,c_9702,c_9703,c_9704]) ).

tcf(c_13068,plain,
    ( gt(iPr_def_13,iPr_def_12)
    | ( iPr_def_11 = iPr_def_12 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13067,c_9707,c_9709]) ).

tcf(c_13641,plain,
    ! [X0: $i] :
      ( p_Reset(X0)
      | p_Rd(X0)
      | ( plus(int_level(X0),n1) = int_level(plus(X0,n1)) )
      | ~ p_Wr(X0)
      | ~ gt(iPr_def_13,int_level(X0)) ),
    inference(light_normalisation,[status(thm)],[c_177,c_9710]) ).

tcf(c_13666,plain,
    ( p_Reset(t_139)
    | p_Rd(t_139)
    | ( plus(int_level(t_139),n1) = int_level(plus(t_139,n1)) )
    | ~ p_Wr(t_139)
    | ~ gt(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_9704,c_13641]) ).

tcf(c_13685,plain,
    ( p_Reset(t_139)
    | p_Rd(t_139)
    | ( iPr_def_11 = iPr_def_13 )
    | ~ p_Wr(t_139)
    | ~ gt(iPr_def_13,iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_13666,c_9702,c_9703,c_9704,c_9705]) ).

tcf(c_13686,plain,
    ~ gt(iPr_def_13,iPr_def_12),
    inference(forward_subsumption_resolution,[status(thm)],[c_13685,c_9707,c_9709,c_10824,c_9708]) ).

tcf(c_13723,plain,
    iPr_def_11 = iPr_def_12,
    inference(backward_subsumption_resolution,[status(thm)],[c_13068,c_13686]) ).

tcf(c_13724,plain,
    p_Wr_error(iPr_def_10),
    inference(backward_subsumption_resolution,[status(thm)],[c_12473,c_13686]) ).

tcf(c_13736,plain,
    ! [X0: $i] :
      ( gt(iPr_def_11,X0)
      | ( iPr_def_11 = iPr_def_13 )
      | ~ p_Wr_error(iPr_def_10)
      | ~ gt(iPr_def_13,X0) ),
    inference(demodulation,[status(thm)],[c_12150,c_13723]) ).

tcf(c_13744,plain,
    ( gt(iPr_def_13,n1)
    | ~ gt(iPr_def_11,n0) ),
    inference(demodulation,[status(thm)],[c_11479,c_13723]) ).

tcf(c_13746,plain,
    ! [X0: $i] :
      ( gt(iPr_def_13,plus(X0,n1))
      | ~ gt(iPr_def_11,X0) ),
    inference(demodulation,[status(thm)],[c_11079,c_13723]) ).

tcf(c_13792,plain,
    ! [X0: $i] :
      ( gt(iPr_def_11,X0)
      | ~ p_Wr_error(iPr_def_10)
      | ~ gt(iPr_def_13,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13736,c_10824]) ).

tcf(c_13825,plain,
    ! [X0: $i] :
      ( gt(iPr_def_11,X0)
      | ~ gt(iPr_def_13,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_13792,c_13724]) ).

tcf(c_15293,plain,
    ( gt(iPr_def_11,minus(iPr_def_13,n1))
    | ~ gt(iPr_def_13,n0) ),
    inference(superposition,[status(thm)],[c_146,c_13825]) ).

tcf(c_15297,plain,
    gt(iPr_def_11,n0),
    inference(superposition,[status(thm)],[c_10827,c_13825]) ).

tcf(c_15305,plain,
    gt(iPr_def_11,minus(iPr_def_13,n1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_15293,c_10827]) ).

tcf(c_15323,plain,
    gt(iPr_def_13,n1),
    inference(backward_subsumption_resolution,[status(thm)],[c_13744,c_15297]) ).

tcf(c_15333,plain,
    ~ def_10(n1,iPr_def_13),
    inference(superposition,[status(thm)],[c_15323,c_149]) ).

tcf(c_15630,plain,
    plus(minus(iPr_def_13,n1),n1) = iPr_def_13,
    inference(superposition,[status(thm)],[c_147,c_15333]) ).

tcf(c_15940,plain,
    ( gt(iPr_def_13,iPr_def_13)
    | ~ gt(iPr_def_11,minus(iPr_def_13,n1)) ),
    inference(superposition,[status(thm)],[c_15630,c_13746]) ).

tcf(c_15993,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_15940,c_160,c_15305]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV022-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n013.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 : Wed Sep 23 16:26:36 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 first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  
% 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...
% 7.62/1.73  % SZS status Started for theBenchmark.p
% 7.62/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.73  
% 7.62/1.73  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.62/1.73  
% 7.62/1.73  % ------  iProver source info
% 7.62/1.73  
% 7.62/1.73  % git: date: 2026-07-19 20:42:38 +0200
% 7.62/1.73  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.62/1.73  % git: non_committed_changes: false
% 7.62/1.73  
% 7.62/1.73  % ------ Parsing...% successful
% 7.62/1.73  
% 7.62/1.73  
% 7.62/1.73  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.62/1.73  
% 7.62/1.73  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 21 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 7.62/1.73  
% 7.62/1.73  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 7.62/1.73  
% 7.62/1.73  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.62/1.73  % ------ Proving...
% 7.62/1.73  % ------ Problem Properties 
% 7.62/1.73  
% 7.62/1.73  % 
% 7.62/1.73  % clauses                               58
% 7.62/1.73  % conjectures                           5
% 7.62/1.73  % EPR                                   11
% 7.62/1.73  % Horn                                  28
% 7.62/1.73  % unary                                 14
% 7.62/1.73  % binary                                14
% 7.62/1.73  % lits                                  158
% 7.62/1.73  % lits eq                               38
% 7.62/1.73  % fd_pure                               0
% 7.62/1.73  % fd_pseudo                             0
% 7.62/1.73  % fd_cond                               1
% 7.62/1.73  % fd_pseudo_cond                        4
% 7.62/1.73  % AC symbols                            0
% 7.62/1.73  
% 7.62/1.73  % ------ Schedule dynamic 5 is on 
% 7.62/1.73  
% 7.62/1.73  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.62/1.73  
% 7.62/1.73  
% 7.62/1.73  % ------ 
% 7.62/1.73  % Current options:
% 7.62/1.73  % ------ 
% 7.62/1.73  
% 7.62/1.73  
% 7.62/1.73  % 
% 7.62/1.73  
% 7.62/1.73  % ------ Proving...
% 7.62/1.73  % 
% 7.62/1.73  
% 7.62/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.73  
% 7.62/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.62/1.73  
% 7.62/1.73  
%------------------------------------------------------------------------------