TSTP Solution File: NUM924+8 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : NUM924+8 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 13:28:30 EDT 2024

% Result   : Theorem 174.80s 25.74s
% Output   : Refutation 174.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   61 (  61 unt;   0 def)
%            Number of atoms       :   61 (  42 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  13 con; 0-4 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26371,plain,
    $false,
    inference(subsumption_resolution,[],[f25201,f26370]) ).

fof(f26370,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,succ,hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat))))),pls)),
    inference(forward_demodulation,[],[f26369,f16158]) ).

fof(f16158,plain,
    ! [X0] : pls = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X0),
    inference(cnf_transformation,[],[f5801]) ).

fof(f5801,plain,
    ! [X0] : pls = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X0),
    inference(rectify,[],[f335]) ).

fof(f335,axiom,
    ! [X11] : pls = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f26369,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,succ,hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat))))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),hAPP(int,int,succ,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,combi(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))))),
    inference(forward_demodulation,[],[f26367,f19686]) ).

fof(f19686,plain,
    ! [X0,X1] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0),
    inference(cnf_transformation,[],[f8219]) ).

fof(f8219,plain,
    ! [X0,X1] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X0),
    inference(rectify,[],[f296]) ).

fof(f296,axiom,
    ! [X15,X11] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X15),X11) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X11),X15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f26367,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,succ,hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat))))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,succ,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),hAPP(int,int,combi(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))),pls))),
    inference(backward_demodulation,[],[f25232,f19686]) ).

fof(f25232,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,succ,hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat))))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,succ,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,combi(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m))),pls))),
    inference(backward_demodulation,[],[f25204,f16291]) ).

fof(f16291,plain,
    ! [X0] : hAPP(int,int,succ,X0) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),one_one(int)),
    inference(cnf_transformation,[],[f5923]) ).

fof(f5923,plain,
    ! [X0] : hAPP(int,int,succ,X0) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),one_one(int)),
    inference(rectify,[],[f1801]) ).

fof(f1801,axiom,
    ! [X14] : hAPP(int,int,succ,X14) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X14),one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25204,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,succ,hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat))))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,combi(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),pls))),
    inference(backward_demodulation,[],[f25159,f25198]) ).

fof(f25198,plain,
    hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int))) = hAPP(int,int,succ,hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),
    inference(backward_demodulation,[],[f25170,f16261]) ).

fof(f16261,plain,
    ! [X0] : hAPP(int,int,succ,X0) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),min_1),
    inference(cnf_transformation,[],[f5894]) ).

fof(f5894,plain,
    ! [X0] : hAPP(int,int,succ,X0) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X0),min_1),
    inference(rectify,[],[f1803]) ).

fof(f1803,axiom,
    ! [X14] : hAPP(int,int,succ,X14) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X14),min_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25170,plain,
    hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int))) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),min_1),
    inference(forward_demodulation,[],[f25143,f23451]) ).

fof(f23451,plain,
    min_1 = hAPP(int,int,combi(int),min_1),
    inference(definition_unfolding,[],[f15720,f19621]) ).

fof(f19621,plain,
    ! [X0,X1] : ti(X0,X1) = hAPP(X0,X0,combi(X0),X1),
    inference(cnf_transformation,[],[f8165]) ).

fof(f8165,plain,
    ! [X0,X1] : ti(X0,X1) = hAPP(X0,X0,combi(X0),X1),
    inference(rectify,[],[f5720]) ).

fof(f5720,axiom,
    ! [X0,X227] : hAPP(X0,X0,combi(X0),X227) = ti(X0,X227),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f15720,plain,
    min_1 = ti(int,min_1),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,axiom,
    min_1 = ti(int,min_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25143,plain,
    hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int))) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),hAPP(int,int,combi(int),min_1)),
    inference(backward_demodulation,[],[f25096,f23592]) ).

fof(f23592,plain,
    ! [X0] : hAPP(int,int,number_number_of(int),X0) = hAPP(int,int,combi(int),X0),
    inference(definition_unfolding,[],[f16111,f19621]) ).

fof(f16111,plain,
    ! [X0] : hAPP(int,int,number_number_of(int),X0) = ti(int,X0),
    inference(cnf_transformation,[],[f5766]) ).

fof(f5766,plain,
    ! [X0] : hAPP(int,int,number_number_of(int),X0) = ti(int,X0),
    inference(rectify,[],[f295]) ).

fof(f295,axiom,
    ! [X14] : hAPP(int,int,number_number_of(int),X14) = ti(int,X14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25096,plain,
    hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int))) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),hAPP(int,int,number_number_of(int),min_1)),
    inference(backward_demodulation,[],[f25089,f25094]) ).

fof(f25094,plain,
    hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),one_one(int)),
    inference(forward_demodulation,[],[f25093,f16052]) ).

fof(f16052,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t) = hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int))),
    inference(cnf_transformation,[],[f1009]) ).

fof(f1009,axiom,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t) = hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25093,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),one_one(int)),
    inference(forward_demodulation,[],[f16058,f25058]) ).

fof(f25058,plain,
    hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,one_one(nat)),
    inference(forward_demodulation,[],[f15994,f15848]) ).

fof(f15848,plain,
    one_one(nat) = hAPP(nat,nat,suc,zero_zero(nat)),
    inference(cnf_transformation,[],[f1603]) ).

fof(f1603,axiom,
    one_one(nat) = hAPP(nat,nat,suc,zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f15994,plain,
    hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat))),
    inference(cnf_transformation,[],[f1700]) ).

fof(f1700,axiom,
    hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16058,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,axiom,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25089,plain,
    hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),one_one(int)) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),hAPP(int,int,number_number_of(int),min_1)),
    inference(forward_demodulation,[],[f16053,f25058]) ).

fof(f16053,plain,
    hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(int,int,number_number_of(int),min_1)),
    inference(cnf_transformation,[],[f740]) ).

fof(f740,axiom,
    hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(int,int,number_number_of(int),min_1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25159,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int)))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,combi(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),pls))),
    inference(backward_demodulation,[],[f25102,f23592]) ).

fof(f25102,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int)))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),pls))),
    inference(forward_demodulation,[],[f25101,f16052]) ).

fof(f25101,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),pls))),
    inference(forward_demodulation,[],[f16062,f15710]) ).

fof(f15710,plain,
    pls = zero_zero(int),
    inference(cnf_transformation,[],[f396]) ).

fof(f396,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16062,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),zero_zero(int)))),
    inference(cnf_transformation,[],[f275]) ).

fof(f275,axiom,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),zero_zero(int)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25201,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,succ,hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat))))),pls)),
    inference(backward_demodulation,[],[f25097,f25198]) ).

fof(f25097,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(product_prod(int,int),int,twoSqu1094008024sum2sq,hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),s),one_one(int)))),pls)),
    inference(backward_demodulation,[],[f25061,f25094]) ).

fof(f25061,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,one_one(nat)))),one_one(int))),pls)),
    inference(backward_demodulation,[],[f25012,f25058]) ).

fof(f25012,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int))),pls)),
    inference(backward_demodulation,[],[f15263,f15710]) ).

fof(f15263,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int))),zero_zero(int))),
    inference(cnf_transformation,[],[f5740]) ).

fof(f5740,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int))),zero_zero(int))),
    inference(flattening,[],[f5739]) ).

fof(f5739,negated_conjecture,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int))),zero_zero(int))),
    inference(negated_conjecture,[],[f5738]) ).

fof(f5738,conjecture,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int))),zero_zero(int))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM924+8 : TPTP v8.2.0. Released v5.3.0.
% 0.10/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sun Jun 23 01:50:39 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35  Running first-order model finding
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.92  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92  % (19532)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.71/0.94  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.94  % (19529)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.71/0.94  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.94  % (19530)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.71/0.94  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.94  % (19528)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.71/0.94  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.94  % (19526)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.71/0.94  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.94  % (19531)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.71/0.94  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.94  % (19527)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.71/0.95  % (19532)Instruction limit reached!
% 0.71/0.95  % (19532)------------------------------
% 0.71/0.95  % (19532)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.71/0.95  % (19532)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.71/0.95  % (19532)Termination reason: Time limit
% 0.71/0.95  % (19532)Termination phase: Preprocessing 2
% 0.71/0.95  
% 0.71/0.95  % (19532)Memory used [KB]: 11424
% 0.71/0.95  % (19532)Time elapsed: 0.036 s
% 0.71/0.95  % (19532)Instructions burned: 116 (million)
% 0.71/0.98  % (19525)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.98  % (19533)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.71/0.99  % (19530)Instruction limit reached!
% 0.71/0.99  % (19530)------------------------------
% 0.71/0.99  % (19530)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.71/0.99  % (19530)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.71/0.99  % (19530)Termination reason: Time limit
% 0.71/0.99  % (19530)Termination phase: Unused predicate definition removal
% 0.71/0.99  
% 0.71/0.99  % (19530)Memory used [KB]: 10135
% 0.71/0.99  % (19530)Time elapsed: 0.055 s
% 0.71/0.99  % (19530)Instructions burned: 105 (million)
% 0.71/1.01  % (19531)Instruction limit reached!
% 0.71/1.01  % (19531)------------------------------
% 0.71/1.01  % (19531)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.71/1.01  % (19531)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.71/1.01  % (19531)Termination reason: Time limit
% 0.71/1.01  % (19531)Termination phase: Preprocessing 3
% 0.71/1.01  
% 0.71/1.01  % (19531)Memory used [KB]: 12187
% 0.71/1.01  % (19531)Time elapsed: 0.072 s
% 0.71/1.01  % (19531)Instructions burned: 149 (million)
% 1.02/1.03  % (19525)Running in auto input_syntax mode. Trying TPTP
% 1.02/1.03  % (19534)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.02/1.05  % (19525)Running in auto input_syntax mode. Trying TPTP
% 1.02/1.05  % (19535)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.02/1.09  % (19534)Instruction limit reached!
% 1.02/1.09  % (19534)------------------------------
% 1.02/1.09  % (19534)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.02/1.09  % (19533)Instruction limit reached!
% 1.02/1.09  % (19533)------------------------------
% 1.02/1.09  % (19533)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.02/1.09  % (19533)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.02/1.09  % (19533)Termination reason: Time limit
% 1.02/1.09  % (19533)Termination phase: Property scanning
% 1.02/1.09  
% 1.02/1.09  % (19533)Memory used [KB]: 15465
% 1.02/1.09  % (19533)Time elapsed: 0.105 s
% 1.02/1.09  % (19533)Instructions burned: 404 (million)
% 1.02/1.09  % (19534)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.02/1.09  % (19534)Termination reason: Time limit
% 1.02/1.09  % (19534)Termination phase: Preprocessing 3
% 1.02/1.09  
% 1.02/1.09  % (19534)Memory used [KB]: 12535
% 1.02/1.09  % (19534)Time elapsed: 0.056 s
% 1.02/1.09  % (19534)Instructions burned: 177 (million)
% 1.02/1.12  % (19525)Running in auto input_syntax mode. Trying TPTP
% 1.02/1.12  % (19537)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.02/1.12  % (19525)Running in auto input_syntax mode. Trying TPTP
% 1.02/1.12  % (19536)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.02/1.13  % (19535)Instruction limit reached!
% 1.02/1.13  % (19535)------------------------------
% 1.02/1.13  % (19535)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.02/1.13  % (19535)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.02/1.13  % (19535)Termination reason: Time limit
% 1.02/1.13  % (19535)Termination phase: Preprocessing 3
% 1.02/1.13  
% 1.02/1.13  % (19535)Memory used [KB]: 14676
% 1.02/1.13  % (19535)Time elapsed: 0.083 s
% 1.02/1.13  % (19535)Instructions burned: 271 (million)
% 1.02/1.17  % (19525)Running in auto input_syntax mode. Trying TPTP
% 1.02/1.17  % (19538)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 3.57/1.35  % (19536)Instruction limit reached!
% 3.57/1.35  % (19536)------------------------------
% 3.57/1.35  % (19536)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.57/1.35  % (19536)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.57/1.35  % (19536)Termination reason: Time limit
% 3.57/1.35  % (19536)Termination phase: Property scanning
% 3.57/1.35  
% 3.57/1.35  % (19536)Memory used [KB]: 15996
% 3.57/1.35  % (19536)Time elapsed: 0.222 s
% 3.57/1.35  % (19536)Instructions burned: 901 (million)
% 4.04/1.39  % (19525)Running in auto input_syntax mode. Trying TPTP
% 4.04/1.39  % (19539)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2995ds/1187Mi)
% 5.44/1.65  % (19539)Instruction limit reached!
% 5.44/1.65  % (19539)------------------------------
% 5.44/1.65  % (19539)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.44/1.65  % (19539)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.44/1.65  % (19539)Termination reason: Time limit
% 5.44/1.65  % (19539)Termination phase: Saturation
% 5.44/1.65  
% 5.44/1.65  % (19539)Memory used [KB]: 16727
% 5.44/1.65  % (19539)Time elapsed: 0.267 s
% 5.44/1.65  % (19539)Instructions burned: 1188 (million)
% 6.23/1.70  % (19525)Running in auto input_syntax mode. Trying TPTP
% 6.23/1.70  % (19540)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2992ds/23580Mi)
% 6.23/1.74  % (19538)Instruction limit reached!
% 6.23/1.74  % (19538)------------------------------
% 6.23/1.74  % (19538)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.23/1.74  % (19538)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.23/1.74  % (19538)Termination reason: Time limit
% 6.23/1.74  % (19538)Termination phase: Saturation
% 6.23/1.74  
% 6.23/1.74  % (19538)Memory used [KB]: 25691
% 6.23/1.74  % (19538)Time elapsed: 0.575 s
% 6.23/1.74  % (19538)Instructions burned: 2145 (million)
% 6.82/1.78  % (19525)Running in auto input_syntax mode. Trying TPTP
% 6.82/1.78  % (19541)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2991ds/2892Mi)
% 11.27/2.49  % (19541)Instruction limit reached!
% 11.27/2.49  % (19541)------------------------------
% 11.27/2.49  % (19541)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.27/2.49  % (19541)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.27/2.49  % (19541)Termination reason: Time limit
% 11.27/2.49  % (19541)Termination phase: Finite model building preprocessing
% 11.27/2.49  
% 11.27/2.49  % (19541)Memory used [KB]: 34251
% 11.27/2.49  % (19541)Time elapsed: 0.712 s
% 11.27/2.49  % (19541)Instructions burned: 2892 (million)
% 11.88/2.52  % (19525)Running in auto input_syntax mode. Trying TPTP
% 11.88/2.52  % (19542)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2983ds/1693Mi)
% 14.69/2.92  % (19542)Instruction limit reached!
% 14.69/2.92  % (19542)------------------------------
% 14.69/2.92  % (19542)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.69/2.92  % (19542)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.69/2.92  % (19542)Termination reason: Time limit
% 14.69/2.92  % (19542)Termination phase: Saturation
% 14.69/2.92  
% 14.69/2.92  % (19542)Memory used [KB]: 22131
% 14.69/2.92  % (19542)Time elapsed: 0.402 s
% 14.69/2.92  % (19542)Instructions burned: 1694 (million)
% 14.69/2.96  % (19525)Running in auto input_syntax mode. Trying TPTP
% 14.69/2.96  % (19543)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2979ds/1735Mi)
% 17.67/3.32  % (19537)Instruction limit reached!
% 17.67/3.32  % (19537)------------------------------
% 17.67/3.32  % (19537)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.67/3.32  % (19537)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.67/3.32  % (19537)Termination reason: Time limit
% 17.67/3.32  % (19537)Termination phase: Finite model building preprocessing
% 17.67/3.32  
% 17.67/3.32  % (19537)Memory used [KB]: 51231
% 17.67/3.32  % (19537)Time elapsed: 2.196 s
% 17.67/3.32  % (19537)Instructions burned: 7862 (million)
% 17.77/3.36  % (19525)Running in auto input_syntax mode. Trying TPTP
% 17.77/3.36  % (19544)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2975ds/131798Mi)
% 17.77/3.37  % (19543)Instruction limit reached!
% 17.77/3.37  % (19543)------------------------------
% 17.77/3.37  % (19543)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.77/3.37  % (19543)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.77/3.37  % (19543)Termination reason: Time limit
% 17.77/3.37  % (19543)Termination phase: Saturation
% 17.77/3.37  
% 17.77/3.37  % (19543)Memory used [KB]: 26582
% 17.77/3.37  % (19543)Time elapsed: 0.412 s
% 17.77/3.37  % (19543)Instructions burned: 1737 (million)
% 17.77/3.40  % (19525)Running in auto input_syntax mode. Trying TPTP
% 17.77/3.40  % (19545)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2975ds/3451Mi)
% 24.17/4.26  % (19545)Instruction limit reached!
% 24.17/4.26  % (19545)------------------------------
% 24.17/4.26  % (19545)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.17/4.26  % (19545)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.17/4.26  % (19545)Termination reason: Time limit
% 24.17/4.26  % (19545)Termination phase: Finite model building preprocessing
% 24.17/4.26  
% 24.17/4.26  % (19545)Memory used [KB]: 36772
% 24.17/4.26  % (19545)Time elapsed: 0.855 s
% 24.17/4.26  % (19545)Instructions burned: 3451 (million)
% 24.17/4.30  % (19525)Running in auto input_syntax mode. Trying TPTP
% 24.17/4.30  % (19546)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2966ds/3978Mi)
% 32.45/5.43  % (19546)Instruction limit reached!
% 32.45/5.43  % (19546)------------------------------
% 32.45/5.43  % (19546)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.45/5.43  % (19546)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.45/5.43  % (19546)Termination reason: Time limit
% 32.45/5.43  % (19546)Termination phase: Saturation
% 32.45/5.43  
% 32.45/5.43  % (19546)Memory used [KB]: 34529
% 32.45/5.43  % (19546)Time elapsed: 1.132 s
% 32.45/5.43  % (19546)Instructions burned: 3981 (million)
% 32.53/5.47  % (19525)Running in auto input_syntax mode. Trying TPTP
% 32.53/5.47  % (19547)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2954ds/33091Mi)
% 53.57/8.47  % (19540)Instruction limit reached!
% 53.57/8.47  % (19540)------------------------------
% 53.57/8.47  % (19540)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 53.57/8.47  % (19540)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 53.57/8.47  % (19540)Termination reason: Time limit
% 53.57/8.47  % (19540)Termination phase: Finite model building preprocessing
% 53.57/8.47  
% 53.57/8.47  % (19540)Memory used [KB]: 94964
% 53.57/8.47  % (19540)Time elapsed: 6.772 s
% 53.57/8.47  % (19540)Instructions burned: 23581 (million)
% 54.02/8.51  % (19525)Running in auto input_syntax mode. Trying TPTP
% 54.02/8.51  % (19548)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2924ds/9564Mi)
% 72.41/11.13  % (19548)Instruction limit reached!
% 72.41/11.13  % (19548)------------------------------
% 72.41/11.13  % (19548)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 72.41/11.13  % (19548)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 72.41/11.13  % (19548)Termination reason: Time limit
% 72.41/11.13  % (19548)Termination phase: Saturation
% 72.41/11.13  
% 72.41/11.13  % (19548)Memory used [KB]: 46144
% 72.41/11.13  % (19548)Time elapsed: 2.625 s
% 72.41/11.13  % (19548)Instructions burned: 9565 (million)
% 72.58/11.17  % (19525)Running in auto input_syntax mode. Trying TPTP
% 72.58/11.17  % (19549)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2897ds/50409Mi)
% 84.07/12.85  % (19547)Instruction limit reached!
% 84.07/12.85  % (19547)------------------------------
% 84.07/12.85  % (19547)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 84.07/12.85  % (19547)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 84.07/12.85  % (19547)Termination reason: Time limit
% 84.07/12.85  % (19547)Termination phase: Saturation
% 84.07/12.85  
% 84.07/12.85  % (19547)Memory used [KB]: 393730
% 84.07/12.85  % (19547)Time elapsed: 7.387 s
% 84.07/12.85  % (19547)Instructions burned: 33095 (million)
% 84.79/12.92  % (19525)Running in auto input_syntax mode. Trying TPTP
% 84.79/12.92  % (19550)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2879ds/10852Mi)
% 104.53/15.73  % (19550)Instruction limit reached!
% 104.53/15.73  % (19550)------------------------------
% 104.53/15.73  % (19550)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 104.53/15.73  % (19550)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 104.53/15.73  % (19550)Termination reason: Time limit
% 104.53/15.74  % (19550)Termination phase: Saturation
% 104.53/15.74  
% 104.53/15.74  % (19550)Memory used [KB]: 102194
% 104.53/15.74  % (19550)Time elapsed: 2.820 s
% 104.53/15.74  % (19550)Instructions burned: 10854 (million)
% 104.53/15.78  % (19525)Running in auto input_syntax mode. Trying TPTP
% 104.53/15.78  % (19552)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2851ds/11327Mi)
% 129.12/19.26  % (19552)Instruction limit reached!
% 129.12/19.26  % (19552)------------------------------
% 129.12/19.26  % (19552)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 129.12/19.26  % (19552)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 129.12/19.26  % (19552)Termination reason: Time limit
% 129.12/19.26  % (19552)Termination phase: Saturation
% 129.12/19.26  
% 129.12/19.26  % (19552)Memory used [KB]: 64260
% 129.12/19.26  % (19552)Time elapsed: 3.487 s
% 129.12/19.26  % (19552)Instructions burned: 11329 (million)
% 129.12/19.30  % (19525)Running in auto input_syntax mode. Trying TPTP
% 129.12/19.30  % (19553)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2815ds/17908Mi)
% 164.40/24.28  % (19553)Instruction limit reached!
% 164.40/24.28  % (19553)------------------------------
% 164.40/24.28  % (19553)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 164.40/24.28  % (19553)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 164.40/24.28  % (19553)Termination reason: Time limit
% 164.40/24.28  % (19553)Termination phase: Finite model building preprocessing
% 164.40/24.28  
% 164.40/24.28  % (19553)Memory used [KB]: 85087
% 164.40/24.28  % (19553)Time elapsed: 4.979 s
% 164.40/24.28  % (19553)Instructions burned: 17910 (million)
% 164.40/24.32  % (19525)Running in auto input_syntax mode. Trying TPTP
% 164.40/24.32  % (19554)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2765ds/22636Mi)
% 167.11/24.76  Cannot represent all propositional literals internally
% 167.11/24.76  % (19529)Refutation not found, incomplete strategy% (19529)------------------------------
% 167.11/24.76  % (19529)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 167.11/24.76  % (19529)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 167.11/24.76  % (19529)Termination reason: Refutation not found, incomplete strategy
% 167.11/24.76  
% 167.11/24.76  % (19529)Memory used [KB]: 508672
% 167.11/24.76  % (19529)Time elapsed: 23.812 s
% 167.11/24.76  % (19529)Instructions burned: 84925 (million)
% 168.00/24.80  % (19529)------------------------------
% 168.00/24.80  % (19529)------------------------------
% 168.60/24.87  % (19525)Running in auto input_syntax mode. Trying TPTP
% 168.60/24.87  % (19555)fmb+10_1:1_i=30223_0 on theBenchmark for (2760ds/30223Mi)
% 170.41/25.17  % (19549)Instruction limit reached!
% 170.41/25.17  % (19549)------------------------------
% 170.41/25.17  % (19549)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 170.41/25.17  % (19549)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 170.41/25.17  % (19549)Termination reason: Time limit
% 170.41/25.17  % (19549)Termination phase: Finite model building preprocessing
% 170.41/25.17  
% 170.41/25.17  % (19549)Memory used [KB]: 237263
% 170.41/25.17  % (19549)Time elapsed: 14.0000 s
% 170.41/25.17  % (19549)Instructions burned: 50409 (million)
% 170.41/25.22  % (19525)Running in auto input_syntax mode. Trying TPTP
% 170.41/25.22  % (19556)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2756ds/37350Mi)
% 174.80/25.74  % (19556)First to succeed.
% 174.80/25.74  % (19556)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19525"
% 174.80/25.74  % (19525)Running in auto input_syntax mode. Trying TPTP
% 174.80/25.74  % (19556)Refutation found. Thanks to Tanya!
% 174.80/25.74  % SZS status Theorem for theBenchmark
% 174.80/25.74  % SZS output start Proof for theBenchmark
% See solution above
% 174.80/25.74  % (19556)------------------------------
% 174.80/25.74  % (19556)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 174.80/25.74  % (19556)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 174.80/25.74  % (19556)Termination reason: Refutation
% 174.80/25.74  
% 174.80/25.74  % (19556)Memory used [KB]: 24297
% 174.80/25.74  % (19556)Time elapsed: 0.521 s
% 174.80/25.74  % (19556)Instructions burned: 2028 (million)
% 174.80/25.74  % (19556)------------------------------
% 174.80/25.74  % (19556)------------------------------
% 174.80/25.74  % (19525)Success in time 24.872 s
%------------------------------------------------------------------------------