TSTP Solution File: RNG004-10 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : RNG004-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n025.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 14:06:43 EDT 2024

% Result   : Unsatisfiable 5.11s 1.08s
% Output   : Refutation 5.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  104 ( 104 unt;   0 def)
%            Number of atoms       :  104 ( 103 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-4 aty)
%            Number of variables   :  181 ( 181   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13990,plain,
    $false,
    inference(subsumption_resolution,[],[f13989,f22]) ).

fof(f22,axiom,
    c != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f13989,plain,
    c = d,
    inference(forward_demodulation,[],[f13931,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f13931,plain,
    c = ifeq2(true,true,d,c),
    inference(superposition,[],[f47,f13855]) ).

fof(f13855,plain,
    true = sum(additive_identity,c,d),
    inference(forward_demodulation,[],[f13821,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f13821,plain,
    true = ifeq(true,true,sum(additive_identity,c,d),true),
    inference(superposition,[],[f1496,f13816]) ).

fof(f13816,plain,
    true = sum(additive_inverse(d),c,additive_identity),
    inference(forward_demodulation,[],[f13811,f2]) ).

fof(f13811,plain,
    true = ifeq(true,true,sum(additive_inverse(d),c,additive_identity),true),
    inference(superposition,[],[f11403,f6127]) ).

fof(f6127,plain,
    true = product(additive_identity,b,additive_identity),
    inference(superposition,[],[f5,f5912]) ).

fof(f5912,plain,
    additive_identity = multiply(additive_identity,b),
    inference(forward_demodulation,[],[f5845,f1]) ).

fof(f5845,plain,
    multiply(additive_identity,b) = ifeq2(true,true,additive_identity,multiply(additive_identity,b)),
    inference(superposition,[],[f48,f5718]) ).

fof(f5718,plain,
    true = sum(multiply(additive_identity,b),additive_identity,additive_identity),
    inference(forward_demodulation,[],[f5613,f2]) ).

fof(f5613,plain,
    true = ifeq(true,true,sum(multiply(additive_identity,b),additive_identity,additive_identity),true),
    inference(superposition,[],[f1786,f5544]) ).

fof(f5544,plain,
    true = sum(multiply(additive_identity,b),c,c),
    inference(forward_demodulation,[],[f5535,f2]) ).

fof(f5535,plain,
    true = ifeq(true,true,sum(multiply(additive_identity,b),c,c),true),
    inference(superposition,[],[f4503,f5]) ).

fof(f4503,plain,
    ! [X0] : true = ifeq(product(additive_identity,b,X0),true,sum(X0,c,c),true),
    inference(forward_demodulation,[],[f4492,f2]) ).

fof(f4492,plain,
    ! [X0] : true = ifeq(product(additive_identity,b,X0),true,ifeq(true,true,sum(X0,c,c),true),true),
    inference(superposition,[],[f1463,f3]) ).

fof(f3,axiom,
    ! [X3] : sum(additive_identity,X3,X3) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1463,plain,
    ! [X0,X1] : true = ifeq(product(X0,b,X1),true,ifeq(sum(X0,a,a),true,sum(X1,c,c),true),true),
    inference(forward_demodulation,[],[f1451,f2]) ).

fof(f1451,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(product(X0,b,X1),true,ifeq(sum(X0,a,a),true,sum(X1,c,c),true),true),true),
    inference(superposition,[],[f395,f20]) ).

fof(f20,axiom,
    true = product(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f395,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,X0,a),true,sum(X3,X1,c),true),true),true),
    inference(forward_demodulation,[],[f373,f2]) ).

fof(f373,plain,
    ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,X0,a),true,sum(X3,X1,c),true),true),true),true),
    inference(superposition,[],[f16,f20]) ).

fof(f16,axiom,
    ! [X3,X10,X11,X6,X9,X4,X12] : true = ifeq(product(X9,X3,X10),true,ifeq(product(X6,X3,X11),true,ifeq(product(X4,X3,X12),true,ifeq(sum(X4,X6,X9),true,sum(X12,X11,X10),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1786,plain,
    ! [X0,X1] : true = ifeq(sum(X1,X0,X0),true,sum(X1,additive_identity,additive_identity),true),
    inference(forward_demodulation,[],[f1768,f2]) ).

fof(f1768,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(sum(X1,X0,X0),true,sum(X1,additive_identity,additive_identity),true),true),
    inference(superposition,[],[f108,f8]) ).

fof(f8,axiom,
    ! [X3] : true = sum(X3,additive_inverse(X3),additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f108,plain,
    ! [X2,X3,X0,X1] : true = ifeq(sum(X1,additive_inverse(X0),X2),true,ifeq(sum(X3,X1,X0),true,sum(X3,X2,additive_identity),true),true),
    inference(forward_demodulation,[],[f87,f2]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(sum(X1,additive_inverse(X0),X2),true,ifeq(sum(X3,X1,X0),true,sum(X3,X2,additive_identity),true),true),true),
    inference(superposition,[],[f9,f8]) ).

fof(f9,axiom,
    ! [X3,X8,X6,X7,X4,X5] : true = ifeq(sum(X5,X6,X7),true,ifeq(sum(X4,X6,X8),true,ifeq(sum(X3,X4,X5),true,sum(X3,X8,X7),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f48,plain,
    ! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,X1,X0) = X0,
    inference(forward_demodulation,[],[f40,f1]) ).

fof(f40,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(sum(X0,additive_identity,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f18,f4]) ).

fof(f4,axiom,
    ! [X3] : true = sum(X3,additive_identity,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f18,axiom,
    ! [X3,X8,X4,X5] : ifeq2(sum(X3,X4,X8),true,ifeq2(sum(X3,X4,X5),true,X5,X8),X8) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5,axiom,
    ! [X3,X4] : true = product(X3,X4,multiply(X3,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f11403,plain,
    ! [X0] : true = ifeq(product(additive_identity,b,X0),true,sum(additive_inverse(d),c,X0),true),
    inference(backward_demodulation,[],[f6893,f11400]) ).

fof(f11400,plain,
    multiply(additive_inverse(a),b) = additive_inverse(d),
    inference(forward_demodulation,[],[f11395,f223]) ).

fof(f223,plain,
    ! [X0] : add(X0,additive_identity) = X0,
    inference(forward_demodulation,[],[f219,f1]) ).

fof(f219,plain,
    ! [X0] : ifeq2(true,true,add(X0,additive_identity),X0) = X0,
    inference(superposition,[],[f47,f61]) ).

fof(f61,plain,
    ! [X0,X1] : true = sum(X1,X0,add(X0,X1)),
    inference(forward_demodulation,[],[f58,f2]) ).

fof(f58,plain,
    ! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
    inference(superposition,[],[f11,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : true = sum(X3,X4,add(X3,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f11,axiom,
    ! [X3,X6,X4] : true = ifeq(sum(X3,X4,X6),true,sum(X4,X3,X6),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f11395,plain,
    multiply(additive_inverse(a),b) = add(additive_inverse(d),additive_identity),
    inference(superposition,[],[f7976,f11300]) ).

fof(f11300,plain,
    additive_identity = add(d,multiply(additive_inverse(a),b)),
    inference(forward_demodulation,[],[f11299,f653]) ).

fof(f653,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(forward_demodulation,[],[f643,f1]) ).

fof(f643,plain,
    ! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
    inference(superposition,[],[f59,f61]) ).

fof(f59,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
    inference(superposition,[],[f18,f6]) ).

fof(f11299,plain,
    additive_identity = add(multiply(additive_inverse(a),b),d),
    inference(forward_demodulation,[],[f11286,f1]) ).

fof(f11286,plain,
    additive_identity = ifeq2(true,true,add(multiply(additive_inverse(a),b),d),additive_identity),
    inference(superposition,[],[f59,f11275]) ).

fof(f11275,plain,
    true = sum(multiply(additive_inverse(a),b),d,additive_identity),
    inference(forward_demodulation,[],[f11269,f2]) ).

fof(f11269,plain,
    true = ifeq(true,true,sum(multiply(additive_inverse(a),b),d,additive_identity),true),
    inference(superposition,[],[f9852,f5]) ).

fof(f9852,plain,
    ! [X0] : true = ifeq(product(additive_inverse(a),b,X0),true,sum(X0,d,additive_identity),true),
    inference(backward_demodulation,[],[f7819,f9851]) ).

fof(f9851,plain,
    additive_identity = multiply(additive_inverse(a),additive_identity),
    inference(forward_demodulation,[],[f9850,f500]) ).

fof(f500,plain,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    inference(forward_demodulation,[],[f496,f1]) ).

fof(f496,plain,
    ! [X0] : additive_identity = ifeq2(true,true,add(X0,additive_inverse(X0)),additive_identity),
    inference(superposition,[],[f49,f61]) ).

fof(f49,plain,
    ! [X0,X1] : additive_identity = ifeq2(sum(additive_inverse(X0),X0,X1),true,X1,additive_identity),
    inference(forward_demodulation,[],[f41,f1]) ).

fof(f41,plain,
    ! [X0,X1] : additive_identity = ifeq2(true,true,ifeq2(sum(additive_inverse(X0),X0,X1),true,X1,additive_identity),additive_identity),
    inference(superposition,[],[f18,f7]) ).

fof(f7,axiom,
    ! [X3] : true = sum(additive_inverse(X3),X3,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f9850,plain,
    multiply(additive_inverse(a),additive_identity) = add(d,additive_inverse(d)),
    inference(forward_demodulation,[],[f9846,f653]) ).

fof(f9846,plain,
    multiply(additive_inverse(a),additive_identity) = add(additive_inverse(d),d),
    inference(superposition,[],[f7976,f9699]) ).

fof(f9699,plain,
    d = add(d,multiply(additive_inverse(a),additive_identity)),
    inference(forward_demodulation,[],[f9698,f653]) ).

fof(f9698,plain,
    d = add(multiply(additive_inverse(a),additive_identity),d),
    inference(forward_demodulation,[],[f9590,f1]) ).

fof(f9590,plain,
    d = ifeq2(true,true,add(multiply(additive_inverse(a),additive_identity),d),d),
    inference(superposition,[],[f59,f9549]) ).

fof(f9549,plain,
    true = sum(multiply(additive_inverse(a),additive_identity),d,d),
    inference(forward_demodulation,[],[f9541,f2]) ).

fof(f9541,plain,
    true = ifeq(true,true,sum(multiply(additive_inverse(a),additive_identity),d,d),true),
    inference(superposition,[],[f9491,f5]) ).

fof(f9491,plain,
    ! [X0] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,sum(X0,d,d),true),
    inference(forward_demodulation,[],[f9481,f2]) ).

fof(f9481,plain,
    ! [X0] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(true,true,sum(X0,d,d),true),true),
    inference(superposition,[],[f1818,f3]) ).

fof(f1818,plain,
    ! [X0,X1] : true = ifeq(product(additive_inverse(a),X0,X1),true,ifeq(sum(X0,additive_inverse(b),additive_inverse(b)),true,sum(X1,d,d),true),true),
    inference(forward_demodulation,[],[f1808,f2]) ).

fof(f1808,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(product(additive_inverse(a),X0,X1),true,ifeq(sum(X0,additive_inverse(b),additive_inverse(b)),true,sum(X1,d,d),true),true),true),
    inference(superposition,[],[f287,f21]) ).

fof(f21,axiom,
    true = product(additive_inverse(a),additive_inverse(b),d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f287,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(additive_inverse(a),X0,X1),true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,X0,additive_inverse(b)),true,sum(X3,X1,d),true),true),true),
    inference(forward_demodulation,[],[f265,f2]) ).

fof(f265,plain,
    ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(product(additive_inverse(a),X0,X1),true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,X0,additive_inverse(b)),true,sum(X3,X1,d),true),true),true),true),
    inference(superposition,[],[f14,f21]) ).

fof(f14,axiom,
    ! [X3,X10,X11,X6,X9,X4,X12] : true = ifeq(product(X3,X9,X10),true,ifeq(product(X3,X6,X11),true,ifeq(product(X3,X4,X12),true,ifeq(sum(X4,X6,X9),true,sum(X12,X11,X10),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7819,plain,
    ! [X0] : true = ifeq(product(additive_inverse(a),b,X0),true,sum(X0,d,multiply(additive_inverse(a),additive_identity)),true),
    inference(forward_demodulation,[],[f7812,f2]) ).

fof(f7812,plain,
    ! [X0] : true = ifeq(true,true,ifeq(product(additive_inverse(a),b,X0),true,sum(X0,d,multiply(additive_inverse(a),additive_identity)),true),true),
    inference(superposition,[],[f1912,f5]) ).

fof(f1912,plain,
    ! [X0,X1] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(product(additive_inverse(a),b,X1),true,sum(X1,d,X0),true),true),
    inference(forward_demodulation,[],[f1897,f2]) ).

fof(f1897,plain,
    ! [X0,X1] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(product(additive_inverse(a),b,X1),true,ifeq(true,true,sum(X1,d,X0),true),true),true),
    inference(superposition,[],[f290,f8]) ).

fof(f290,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(additive_inverse(a),X0,X1),true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,additive_inverse(b),X0),true,sum(X3,d,X1),true),true),true),
    inference(forward_demodulation,[],[f268,f2]) ).

fof(f268,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(additive_inverse(a),X0,X1),true,ifeq(true,true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,additive_inverse(b),X0),true,sum(X3,d,X1),true),true),true),true),
    inference(superposition,[],[f14,f21]) ).

fof(f7976,plain,
    ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
    inference(forward_demodulation,[],[f7917,f1]) ).

fof(f7917,plain,
    ! [X0,X1] : ifeq2(true,true,add(additive_inverse(X0),add(X0,X1)),X1) = X1,
    inference(superposition,[],[f59,f7865]) ).

fof(f7865,plain,
    ! [X0,X1] : true = sum(additive_inverse(X0),add(X0,X1),X1),
    inference(forward_demodulation,[],[f7829,f2]) ).

fof(f7829,plain,
    ! [X0,X1] : true = ifeq(true,true,sum(additive_inverse(X0),add(X0,X1),X1),true),
    inference(superposition,[],[f817,f6]) ).

fof(f817,plain,
    ! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(additive_inverse(X0),X2,X1),true),
    inference(forward_demodulation,[],[f798,f2]) ).

fof(f798,plain,
    ! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,ifeq(true,true,sum(additive_inverse(X0),X2,X1),true),true),
    inference(superposition,[],[f105,f7]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] : true = ifeq(sum(X1,X0,X2),true,ifeq(sum(X3,X1,additive_identity),true,sum(X3,X2,X0),true),true),
    inference(forward_demodulation,[],[f84,f2]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(sum(X1,X0,X2),true,ifeq(sum(X3,X1,additive_identity),true,sum(X3,X2,X0),true),true),true),
    inference(superposition,[],[f9,f3]) ).

fof(f6893,plain,
    ! [X0] : true = ifeq(product(additive_identity,b,X0),true,sum(multiply(additive_inverse(a),b),c,X0),true),
    inference(forward_demodulation,[],[f6884,f2]) ).

fof(f6884,plain,
    ! [X0] : true = ifeq(product(additive_identity,b,X0),true,ifeq(true,true,sum(multiply(additive_inverse(a),b),c,X0),true),true),
    inference(superposition,[],[f1537,f5]) ).

fof(f1537,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,b,X0),true,ifeq(product(additive_inverse(a),b,X1),true,sum(X1,c,X0),true),true),
    inference(forward_demodulation,[],[f1521,f2]) ).

fof(f1521,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,b,X0),true,ifeq(product(additive_inverse(a),b,X1),true,ifeq(true,true,sum(X1,c,X0),true),true),true),
    inference(superposition,[],[f398,f7]) ).

fof(f398,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,a,X0),true,sum(X3,c,X1),true),true),true),
    inference(forward_demodulation,[],[f376,f2]) ).

fof(f376,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,b,X1),true,ifeq(true,true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,a,X0),true,sum(X3,c,X1),true),true),true),true),
    inference(superposition,[],[f16,f20]) ).

fof(f1496,plain,
    ! [X0,X1] : true = ifeq(sum(additive_inverse(X0),X1,additive_identity),true,sum(additive_identity,X1,X0),true),
    inference(forward_demodulation,[],[f1477,f2]) ).

fof(f1477,plain,
    ! [X0,X1] : true = ifeq(sum(additive_inverse(X0),X1,additive_identity),true,ifeq(true,true,sum(additive_identity,X1,X0),true),true),
    inference(superposition,[],[f156,f8]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1] : true = ifeq(sum(X1,X2,additive_identity),true,ifeq(sum(X0,X1,X3),true,sum(X3,X2,X0),true),true),
    inference(forward_demodulation,[],[f135,f2]) ).

fof(f135,plain,
    ! [X2,X3,X0,X1] : true = ifeq(sum(X1,X2,additive_identity),true,ifeq(true,true,ifeq(sum(X0,X1,X3),true,sum(X3,X2,X0),true),true),true),
    inference(superposition,[],[f10,f4]) ).

fof(f10,axiom,
    ! [X3,X8,X6,X7,X4,X5] : true = ifeq(sum(X4,X6,X8),true,ifeq(sum(X3,X8,X7),true,ifeq(sum(X3,X4,X5),true,sum(X5,X6,X7),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f47,plain,
    ! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,X1,X0) = X0,
    inference(forward_demodulation,[],[f39,f1]) ).

fof(f39,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(sum(additive_identity,X0,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f18,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : RNG004-10 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.12  % Command    : run_vampire %s %d THM
% 0.14/0.33  % Computer : n025.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Jun 18 13:18:24 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  Running first-order theorem proving
% 0.14/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9172)lrs+10_1:1_drc=encompass:sil=4000:i=209:ss=axioms:sgt=8:sp=occurrence_0 on theBenchmark for (2999ds/209Mi)
% 0.21/0.42  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9167)dis+10_5:2_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:sos=all:i=207332:bd=off:fsr=off:dpc=on_0 on theBenchmark for (2999ds/207332Mi)
% 0.21/0.42  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9169)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=126:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (2999ds/126Mi)
% 0.21/0.42  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9170)ott+10_2:5_bsr=unit_only:to=lpo:drc=encompass:sil=256000:sp=reverse_frequency:i=150:ins=1:dpc=on:rawr=on_0 on theBenchmark for (2999ds/150Mi)
% 0.21/0.42  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9171)lrs+10_1:8_drc=encompass:sil=16000:tgt=ground:i=123:bd=preordered:ss=axioms_0 on theBenchmark for (2999ds/123Mi)
% 0.21/0.42  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9168)lrs+10_1:64_drc=encompass:sil=2000:i=105:plsq=on:ss=axioms_0 on theBenchmark for (2999ds/105Mi)
% 0.21/0.42  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (9166)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=116130:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (2999ds/116130Mi)
% 0.21/0.48  % (9168)Instruction limit reached!
% 0.21/0.48  % (9168)------------------------------
% 0.21/0.48  % (9168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (9168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (9168)Termination reason: Time limit
% 0.21/0.48  % (9168)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (9168)Memory used [KB]: 1994
% 0.21/0.48  % (9168)Time elapsed: 0.062 s
% 0.21/0.48  % (9168)Instructions burned: 105 (million)
% 0.21/0.49  % (9169)Instruction limit reached!
% 0.21/0.49  % (9169)------------------------------
% 0.21/0.49  % (9169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49  % (9170)Instruction limit reached!
% 0.21/0.49  % (9170)------------------------------
% 0.21/0.49  % (9170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49  % (9170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49  % (9170)Termination reason: Time limit
% 0.21/0.49  % (9170)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (9170)Memory used [KB]: 2838
% 0.21/0.49  % (9170)Time elapsed: 0.068 s
% 0.21/0.49  % (9170)Instructions burned: 151 (million)
% 0.21/0.49  % (9169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49  % (9169)Termination reason: Time limit
% 0.21/0.49  % (9169)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (9169)Memory used [KB]: 2581
% 0.21/0.49  % (9169)Time elapsed: 0.068 s
% 0.21/0.49  % (9169)Instructions burned: 127 (million)
% 0.21/0.49  % (9171)Instruction limit reached!
% 0.21/0.49  % (9171)------------------------------
% 0.21/0.49  % (9171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49  % (9171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49  % (9171)Termination reason: Time limit
% 0.21/0.49  % (9171)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (9171)Memory used [KB]: 2441
% 0.21/0.49  % (9171)Time elapsed: 0.071 s
% 0.21/0.49  % (9171)Instructions burned: 124 (million)
% 0.21/0.51  % (9172)Instruction limit reached!
% 0.21/0.51  % (9172)------------------------------
% 0.21/0.51  % (9172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51  % (9172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51  % (9172)Termination reason: Time limit
% 0.21/0.51  % (9172)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (9172)Memory used [KB]: 3258
% 0.21/0.51  % (9172)Time elapsed: 0.091 s
% 0.21/0.51  % (9172)Instructions burned: 209 (million)
% 0.21/0.52  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (9173)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=192:s2at=2.0_0 on theBenchmark for (2998ds/192Mi)
% 0.21/0.52  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (9174)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=454:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2998ds/454Mi)
% 0.21/0.52  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (9176)lrs+10_1:1_sil=4000:sp=occurrence:i=163:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2998ds/163Mi)
% 0.21/0.52  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (9175)lrs+10_1:2_sil=2000:tgt=ground:spb=goal:i=359:kws=precedence:irc=eager_0 on theBenchmark for (2998ds/359Mi)
% 0.21/0.55  % (9165)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.55  % (9177)lrs+10_1:1024_drc=encompass:sil=4000:tgt=full:i=1030:kws=inv_frequency:awrs=converge_0 on theBenchmark for (2998ds/1030Mi)
% 0.21/0.57  % (9176)Instruction limit reached!
% 0.21/0.57  % (9176)------------------------------
% 0.21/0.57  % (9176)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57  % (9176)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57  % (9176)Termination reason: Time limit
% 0.21/0.57  % (9176)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (9176)Memory used [KB]: 2748
% 0.21/0.57  % (9176)Time elapsed: 0.077 s
% 0.21/0.57  % (9176)Instructions burned: 164 (million)
% 1.62/0.58  % (9173)Instruction limit reached!
% 1.62/0.58  % (9173)------------------------------
% 1.62/0.58  % (9173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.62/0.58  % (9173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.62/0.58  % (9173)Termination reason: Time limit
% 1.62/0.58  % (9173)Termination phase: Saturation
% 1.62/0.58  
% 1.62/0.58  % (9173)Memory used [KB]: 3241
% 1.62/0.58  % (9173)Time elapsed: 0.090 s
% 1.62/0.58  % (9173)Instructions burned: 193 (million)
% 1.74/0.61  % (9165)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.61  % (9178)lrs+10_3:1_sil=4000:tgt=ground:i=631:kws=frequency:bd=off:drc=encompass:irc=lazy_0 on theBenchmark for (2997ds/631Mi)
% 1.74/0.62  % (9165)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.62  % (9179)lrs+10_1:3_to=lpo:drc=encompass:sil=4000:tgt=full:i=901:rawr=on:ins=4:bd=off:fd=preordered_0 on theBenchmark for (2997ds/901Mi)
% 1.90/0.66  % (9175)Instruction limit reached!
% 1.90/0.66  % (9175)------------------------------
% 1.90/0.66  % (9175)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.90/0.66  % (9175)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.90/0.66  % (9175)Termination reason: Time limit
% 1.90/0.66  % (9175)Termination phase: Saturation
% 1.90/0.66  
% 1.90/0.66  % (9175)Memory used [KB]: 5361
% 1.90/0.66  % (9175)Time elapsed: 0.157 s
% 1.90/0.66  % (9175)Instructions burned: 360 (million)
% 1.90/0.68  % (9174)Instruction limit reached!
% 1.90/0.68  % (9174)------------------------------
% 1.90/0.68  % (9174)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.90/0.68  % (9174)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.90/0.68  % (9174)Termination reason: Time limit
% 1.90/0.68  % (9174)Termination phase: Saturation
% 1.90/0.68  
% 1.90/0.68  % (9174)Memory used [KB]: 5895
% 1.90/0.68  % (9174)Time elapsed: 0.181 s
% 1.90/0.68  % (9174)Instructions burned: 454 (million)
% 1.90/0.69  % (9165)Running in auto input_syntax mode. Trying TPTP
% 1.90/0.69  % (9180)lrs+10_1:24_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=312:ins=2:fsr=off:kws=precedence:irc=eager:bsr=unit_only:br=off:ss=included:sgt=16:bd=preordered_0 on theBenchmark for (2996ds/312Mi)
% 2.23/0.72  % (9165)Running in auto input_syntax mode. Trying TPTP
% 2.23/0.72  % (9181)lrs+10_1:1_drc=encompass:sil=2000:slsq=on:s2a=on:i=1363:s2at=7.0_0 on theBenchmark for (2996ds/1363Mi)
% 2.44/0.81  % (9180)Instruction limit reached!
% 2.44/0.81  % (9180)------------------------------
% 2.44/0.81  % (9180)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.81  % (9180)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.81  % (9180)Termination reason: Time limit
% 2.44/0.81  % (9180)Termination phase: Saturation
% 2.44/0.81  
% 2.44/0.81  % (9180)Memory used [KB]: 4508
% 2.44/0.81  % (9180)Time elapsed: 0.114 s
% 2.44/0.81  % (9180)Instructions burned: 313 (million)
% 2.44/0.82  % (9178)Instruction limit reached!
% 2.44/0.82  % (9178)------------------------------
% 2.44/0.82  % (9178)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.82  % (9178)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.82  % (9178)Termination reason: Time limit
% 2.44/0.82  % (9178)Termination phase: Saturation
% 2.44/0.82  
% 2.44/0.82  % (9178)Memory used [KB]: 7094
% 2.44/0.82  % (9178)Time elapsed: 0.238 s
% 2.44/0.82  % (9178)Instructions burned: 632 (million)
% 2.44/0.84  % (9165)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.84  % (9182)ott+10_8:1_drc=encompass:sil=256000:i=471:rawr=on:irc=lazy_0 on theBenchmark for (2995ds/471Mi)
% 2.44/0.86  % (9165)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.86  % (9183)lrs+10_1:4_drc=encompass:sil=4000:tgt=full:sp=reverse_arity:st=-1.0:i=2897:kws=precedence:ss=included:lwlo=on:rawr=on:bd=off:urr=on:bsd=on_0 on theBenchmark for (2995ds/2897Mi)
% 3.13/0.89  % (9177)Instruction limit reached!
% 3.13/0.89  % (9177)------------------------------
% 3.13/0.89  % (9177)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.13/0.89  % (9177)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.13/0.89  % (9177)Termination reason: Time limit
% 3.13/0.89  % (9177)Termination phase: Saturation
% 3.13/0.89  
% 3.13/0.89  % (9177)Memory used [KB]: 7700
% 3.13/0.89  % (9177)Time elapsed: 0.369 s
% 3.13/0.89  % (9177)Instructions burned: 1031 (million)
% 3.22/0.91  % (9179)Instruction limit reached!
% 3.22/0.91  % (9179)------------------------------
% 3.22/0.91  % (9179)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.22/0.91  % (9179)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.22/0.91  % (9179)Termination reason: Time limit
% 3.22/0.91  % (9179)Termination phase: Saturation
% 3.22/0.91  
% 3.22/0.91  % (9179)Memory used [KB]: 7612
% 3.22/0.91  % (9179)Time elapsed: 0.312 s
% 3.22/0.91  % (9179)Instructions burned: 904 (million)
% 3.60/0.92  % (9165)Running in auto input_syntax mode. Trying TPTP
% 3.60/0.92  % (9184)lrs+10_1:12_sil=2000:tgt=full:sp=reverse_frequency:i=569:kws=inv_frequency:bd=off:fsr=off:rawr=on:awrs=converge_0 on theBenchmark for (2994ds/569Mi)
% 3.61/0.94  % (9165)Running in auto input_syntax mode. Trying TPTP
% 3.61/0.94  % (9185)lrs+10_1:1_drc=encompass:sil=2000:st=5.0:s2a=on:i=577:s2at=5.0:sd=1:bd=preordered:irc=lazy:ss=axioms:sgt=10_0 on theBenchmark for (2994ds/577Mi)
% 3.74/1.00  % (9182)Instruction limit reached!
% 3.74/1.00  % (9182)------------------------------
% 3.74/1.00  % (9182)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/1.00  % (9182)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/1.00  % (9182)Termination reason: Time limit
% 3.74/1.00  % (9182)Termination phase: Saturation
% 3.74/1.00  
% 3.74/1.00  % (9182)Memory used [KB]: 6000
% 3.74/1.00  % (9182)Time elapsed: 0.160 s
% 3.74/1.00  % (9182)Instructions burned: 471 (million)
% 3.74/1.03  % (9165)Running in auto input_syntax mode. Trying TPTP
% 3.74/1.03  % (9186)lrs+10_8:1_drc=encompass:sil=4000:tgt=ground:spb=non_intro:i=843:bd=off:irc=lazy_0 on theBenchmark for (2993ds/843Mi)
% 5.11/1.08  % (9181)First to succeed.
% 5.11/1.08  % (9181)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9165"
% 5.11/1.08  % (9165)Running in auto input_syntax mode. Trying TPTP
% 5.11/1.08  % (9181)Refutation found. Thanks to Tanya!
% 5.11/1.08  % SZS status Unsatisfiable for theBenchmark
% 5.11/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 5.11/1.08  % (9181)------------------------------
% 5.11/1.08  % (9181)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.11/1.08  % (9181)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.11/1.08  % (9181)Termination reason: Refutation
% 5.11/1.08  
% 5.11/1.08  % (9181)Memory used [KB]: 8899
% 5.11/1.08  % (9181)Time elapsed: 0.364 s
% 5.11/1.08  % (9181)Instructions burned: 1051 (million)
% 5.11/1.08  % (9181)------------------------------
% 5.11/1.08  % (9181)------------------------------
% 5.11/1.08  % (9165)Success in time 0.728 s
%------------------------------------------------------------------------------