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

View Problem - Process Solution

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

% Computer : n024.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 13:18:48 EDT 2024

% Result   : Theorem 5.50s 1.62s
% Output   : Refutation 5.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  41 unt;   0 def)
%            Number of atoms       :   41 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-4 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26160,plain,
    $false,
    inference(subsumption_resolution,[],[f26159,f25180]) ).

fof(f25180,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,[],[f25089,f25177]) ).

fof(f25177,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,[],[f25086,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f25086,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,[],[f25085,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f25085,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,f25051]) ).

fof(f25051,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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f25089,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,[],[f25054,f25086]) ).

fof(f25054,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,f25051]) ).

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

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

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f26159,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,[],[f26158,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f26158,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,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))))),
    inference(forward_demodulation,[],[f26156,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f26156,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,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))),pls))),
    inference(backward_demodulation,[],[f25183,f19686]) ).

fof(f25183,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,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m))),pls))),
    inference(backward_demodulation,[],[f25174,f25177]) ).

fof(f25174,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,succ,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))),pls))),
    inference(backward_demodulation,[],[f25094,f16291]) ).

fof(f25094,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,[],[f25093,f16052]) ).

fof(f25093,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(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/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15  % Problem    : NUM924+8 : TPTP v8.2.0. Released v5.3.0.
% 0.14/0.15  % Command    : run_vampire %s %d THM
% 0.15/0.37  % Computer : n024.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun Jun 23 01:50:39 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.39  Running first-order theorem proving
% 0.15/0.39  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.96  % (1662)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.77/0.98  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.98  % (1659)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.77/0.98  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.98  % (1661)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.77/0.98  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.98  % (1660)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.77/0.98  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.98  % (1657)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.77/0.98  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.98  % (1658)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.77/0.98  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.98  % (1656)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.77/1.03  % (1662)Instruction limit reached!
% 0.77/1.03  % (1662)------------------------------
% 0.77/1.03  % (1662)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.77/1.03  % (1662)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.77/1.03  % (1662)Termination reason: Time limit
% 0.77/1.03  % (1662)Termination phase: Property scanning
% 0.77/1.03  
% 0.77/1.03  % (1662)Memory used [KB]: 8660
% 0.77/1.03  % (1662)Time elapsed: 0.079 s
% 0.77/1.03  % (1662)Instructions burned: 287 (million)
% 0.77/1.07  % (1655)Running in auto input_syntax mode. Trying TPTP
% 0.77/1.07  % (1663)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 1.65/1.08  % (1660)Refutation not found, incomplete strategy% (1660)------------------------------
% 1.65/1.08  % (1660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.65/1.08  % (1660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.65/1.08  % (1660)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.08  
% 1.65/1.08  % (1660)Memory used [KB]: 7831
% 1.65/1.08  % (1660)Time elapsed: 0.099 s
% 1.65/1.08  % (1660)Instructions burned: 214 (million)
% 1.65/1.08  % (1660)------------------------------
% 1.65/1.08  % (1660)------------------------------
% 1.65/1.11  % (1663)Instruction limit reached!
% 1.65/1.11  % (1663)------------------------------
% 1.65/1.11  % (1663)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.65/1.11  % (1663)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.65/1.11  % (1663)Termination reason: Time limit
% 1.65/1.11  % (1663)Termination phase: Preprocessing 1
% 1.65/1.11  
% 1.65/1.11  % (1663)Memory used [KB]: 6684
% 1.65/1.11  % (1663)Time elapsed: 0.044 s
% 1.65/1.11  % (1663)Instructions burned: 128 (million)
% 1.65/1.12  % (1661)Instruction limit reached!
% 1.65/1.12  % (1661)------------------------------
% 1.65/1.12  % (1661)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.65/1.12  % (1661)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.65/1.12  % (1661)Termination reason: Time limit
% 1.65/1.12  % (1661)Termination phase: Saturation
% 1.65/1.12  
% 1.65/1.12  % (1661)Memory used [KB]: 8309
% 1.65/1.12  % (1661)Time elapsed: 0.140 s
% 1.65/1.12  % (1661)Instructions burned: 347 (million)
% 1.65/1.12  % (1655)Running in auto input_syntax mode. Trying TPTP
% 1.65/1.12  % (1664)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 2.14/1.15  % (1655)Running in auto input_syntax mode. Trying TPTP
% 2.14/1.15  % (1666)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2998ds/325Mi)
% 2.14/1.16  % (1655)Running in auto input_syntax mode. Trying TPTP
% 2.14/1.16  % (1667)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 2.33/1.24  % (1664)Instruction limit reached!
% 2.33/1.24  % (1664)------------------------------
% 2.33/1.24  % (1664)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.33/1.24  % (1664)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.33/1.24  % (1664)Termination reason: Time limit
% 2.33/1.24  % (1664)Termination phase: Property scanning
% 2.33/1.24  
% 2.33/1.24  % (1664)Memory used [KB]: 15990
% 2.33/1.24  % (1664)Time elapsed: 0.120 s
% 2.33/1.24  % (1664)Instructions burned: 406 (million)
% 2.50/1.24  % (1666)Instruction limit reached!
% 2.50/1.24  % (1666)------------------------------
% 2.50/1.24  % (1666)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.50/1.24  % (1666)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.50/1.24  % (1666)Termination reason: Time limit
% 2.50/1.24  % (1666)Termination phase: Saturation
% 2.50/1.24  
% 2.50/1.24  % (1666)Memory used [KB]: 8652
% 2.50/1.24  % (1666)Time elapsed: 0.089 s
% 2.50/1.24  % (1666)Instructions burned: 325 (million)
% 2.83/1.25  % (1667)Instruction limit reached!
% 2.83/1.25  % (1667)------------------------------
% 2.83/1.25  % (1667)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.83/1.25  % (1667)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.83/1.25  % (1667)Termination reason: Time limit
% 2.83/1.25  % (1667)Termination phase: Saturation
% 2.83/1.25  
% 2.83/1.25  % (1667)Memory used [KB]: 8222
% 2.83/1.25  % (1667)Time elapsed: 0.086 s
% 2.83/1.25  % (1667)Instructions burned: 267 (million)
% 2.83/1.27  % (1655)Running in auto input_syntax mode. Trying TPTP
% 2.83/1.27  % (1669)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2996ds/200Mi)
% 2.83/1.28  % (1655)Running in auto input_syntax mode. Trying TPTP
% 2.83/1.28  % (1668)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2996ds/156Mi)
% 2.83/1.28  % (1655)Running in auto input_syntax mode. Trying TPTP
% 2.83/1.28  % (1670)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2996ds/203Mi)
% 3.16/1.32  % (1668)Instruction limit reached!
% 3.16/1.32  % (1668)------------------------------
% 3.16/1.32  % (1668)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.16/1.32  % (1668)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.16/1.32  % (1668)Termination reason: Time limit
% 3.16/1.32  % (1668)Termination phase: Property scanning
% 3.16/1.32  
% 3.16/1.32  % (1668)Memory used [KB]: 7271
% 3.16/1.32  % (1668)Time elapsed: 0.048 s
% 3.16/1.32  % (1668)Instructions burned: 158 (million)
% 3.16/1.33  % (1669)Instruction limit reached!
% 3.16/1.33  % (1669)------------------------------
% 3.16/1.33  % (1669)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.16/1.33  % (1669)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.16/1.33  % (1669)Termination reason: Time limit
% 3.16/1.33  % (1669)Termination phase: Property scanning
% 3.16/1.33  
% 3.16/1.33  % (1669)Memory used [KB]: 7437
% 3.16/1.33  % (1669)Time elapsed: 0.055 s
% 3.16/1.33  % (1669)Instructions burned: 200 (million)
% 3.16/1.35  % (1670)Instruction limit reached!
% 3.16/1.35  % (1670)------------------------------
% 3.16/1.35  % (1670)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.16/1.35  % (1670)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.16/1.35  % (1670)Termination reason: Time limit
% 3.16/1.35  % (1670)Termination phase: Saturation
% 3.16/1.35  
% 3.16/1.35  % (1670)Memory used [KB]: 7422
% 3.16/1.35  % (1670)Time elapsed: 0.068 s
% 3.16/1.35  % (1670)Instructions burned: 203 (million)
% 3.64/1.36  % (1655)Running in auto input_syntax mode. Trying TPTP
% 3.64/1.36  % (1671)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2996ds/1027Mi)
% 3.64/1.36  % (1655)Running in auto input_syntax mode. Trying TPTP
% 3.64/1.36  % (1672)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2995ds/316Mi)
% 3.64/1.39  % (1655)Running in auto input_syntax mode. Trying TPTP
% 3.64/1.39  % (1673)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2995ds/426Mi)
% 3.64/1.44  % (1672)Instruction limit reached!
% 3.64/1.44  % (1672)------------------------------
% 3.64/1.44  % (1672)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.64/1.44  % (1672)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.64/1.44  % (1672)Termination reason: Time limit
% 3.64/1.44  % (1672)Termination phase: Saturation
% 3.64/1.44  
% 3.64/1.44  % (1672)Memory used [KB]: 9184
% 3.64/1.44  % (1672)Time elapsed: 0.085 s
% 3.64/1.44  % (1672)Instructions burned: 317 (million)
% 4.15/1.48  % (1655)Running in auto input_syntax mode. Trying TPTP
% 4.15/1.48  % (1674)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/260Mi)
% 4.32/1.51  % (1673)Instruction limit reached!
% 4.32/1.51  % (1673)------------------------------
% 4.32/1.51  % (1673)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.32/1.51  % (1673)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.32/1.51  % (1673)Termination reason: Time limit
% 4.32/1.51  % (1673)Termination phase: Property scanning
% 4.32/1.51  
% 4.32/1.51  % (1673)Memory used [KB]: 16071
% 4.32/1.51  % (1673)Time elapsed: 0.122 s
% 4.32/1.51  % (1673)Instructions burned: 426 (million)
% 4.68/1.54  % (1655)Running in auto input_syntax mode. Trying TPTP
% 4.68/1.54  % (1676)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2994ds/160Mi)
% 4.70/1.57  % (1674)Instruction limit reached!
% 4.70/1.57  % (1674)------------------------------
% 4.70/1.57  % (1674)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.70/1.57  % (1674)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.70/1.57  % (1674)Termination reason: Time limit
% 4.70/1.57  % (1674)Termination phase: Property scanning
% 4.70/1.57  
% 4.70/1.57  % (1674)Memory used [KB]: 8220
% 4.70/1.57  % (1674)Time elapsed: 0.091 s
% 4.70/1.57  % (1674)Instructions burned: 263 (million)
% 4.70/1.59  % (1676)Instruction limit reached!
% 4.70/1.59  % (1676)------------------------------
% 4.70/1.59  % (1676)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.70/1.59  % (1676)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.70/1.59  % (1676)Termination reason: Time limit
% 4.70/1.59  % (1676)Termination phase: Property scanning
% 4.70/1.59  
% 4.70/1.59  % (1676)Memory used [KB]: 7763
% 4.70/1.59  % (1676)Time elapsed: 0.050 s
% 4.70/1.59  % (1676)Instructions burned: 163 (million)
% 4.70/1.60  % (1671)Instruction limit reached!
% 4.70/1.60  % (1671)------------------------------
% 4.70/1.60  % (1671)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.70/1.60  % (1671)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.70/1.60  % (1671)Termination reason: Time limit
% 4.70/1.60  % (1671)Termination phase: Property scanning
% 4.70/1.60  
% 4.70/1.60  % (1671)Memory used [KB]: 16300
% 4.70/1.60  % (1671)Time elapsed: 0.241 s
% 4.70/1.60  % (1671)Instructions burned: 1029 (million)
% 4.70/1.60  % (1655)Running in auto input_syntax mode. Trying TPTP
% 4.70/1.60  % (1677)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2993ds/462Mi)
% 4.70/1.61  % (1656)First to succeed.
% 4.70/1.61  % (1656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1655"
% 5.50/1.62  % (1655)Running in auto input_syntax mode. Trying TPTP
% 5.50/1.62  % (1656)Refutation found. Thanks to Tanya!
% 5.50/1.62  % SZS status Theorem for theBenchmark
% 5.50/1.62  % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.62  % (1656)------------------------------
% 5.50/1.62  % (1656)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.50/1.62  % (1656)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.50/1.62  % (1656)Termination reason: Refutation
% 5.50/1.62  
% 5.50/1.62  % (1656)Memory used [KB]: 24671
% 5.50/1.62  % (1656)Time elapsed: 0.616 s
% 5.50/1.62  % (1656)Instructions burned: 2101 (million)
% 5.50/1.62  % (1656)------------------------------
% 5.50/1.62  % (1656)------------------------------
% 5.50/1.62  % (1655)Success in time 0.685 s
%------------------------------------------------------------------------------