TSTP Solution File: GRP552-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP552-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n021.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 : Fri Sep 16 22:28:13 EDT 2022

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  107 (  82 unt;   5 typ;   0 def)
%            Number of atoms       :  128 ( 124 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   40 (  17   ~;  13   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of FOOLs       :    3 (   3 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   83 (  77   !;   0   ?;  83   :)

% Comments : 
%------------------------------------------------------------------------------
tff(multiply_type,type,
    multiply: ( $i * $i ) > $i ).

tff(a_type,type,
    a: $i ).

tff(b_type,type,
    b: $i ).

tff(divide_type,type,
    divide: ( $i * $i ) > $i ).

tff(identity_type,type,
    identity: $i ).

tff(1,plain,
    ^ [B: $i,A: $i] :
      refl(
        ( ( multiply(A,B) = divide(A,divide(identity,B)) )
      <=> ( multiply(A,B) = divide(A,divide(identity,B)) ) )),
    inference(bind,[status(th)],]) ).

tff(2,plain,
    ( ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
  <=> ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ( ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
  <=> ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(4,axiom,
    ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

tff(5,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) ),
    inference(modus_ponens,[status(thm)],[4,3]) ).

tff(6,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) ),
    inference(skolemize,[status(sab)],[5]) ).

tff(7,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) ),
    inference(modus_ponens,[status(thm)],[6,2]) ).

tff(8,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(b,a) = divide(b,divide(identity,a)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(9,plain,
    multiply(b,a) = divide(b,divide(identity,a)),
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    divide(b,divide(identity,a)) = multiply(b,a),
    inference(symmetry,[status(thm)],[9]) ).

tff(11,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(
        ( ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
      <=> ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ) )),
    inference(bind,[status(th)],]) ).

tff(12,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ) ),
    inference(quant_intro,[status(thm)],[11]) ).

tff(13,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ) ),
    inference(rewrite,[status(thm)],]) ).

tff(14,axiom,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

tff(15,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ),
    inference(modus_ponens,[status(thm)],[14,13]) ).

tff(16,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ),
    inference(skolemize,[status(sab)],[15]) ).

tff(17,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ),
    inference(modus_ponens,[status(thm)],[16,12]) ).

tff(18,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
    | ( divide(divide(identity,divide(identity,a)),divide(divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))),divide(b,b))) = divide(b,divide(identity,a)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(19,plain,
    divide(divide(identity,divide(identity,a)),divide(divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))),divide(b,b))) = divide(b,divide(identity,a)),
    inference(unit_resolution,[status(thm)],[18,17]) ).

tff(20,plain,
    ^ [A: $i] :
      refl(
        ( ( identity = divide(A,A) )
      <=> ( identity = divide(A,A) ) )),
    inference(bind,[status(th)],]) ).

tff(21,plain,
    ( ! [A: $i] : ( identity = divide(A,A) )
  <=> ! [A: $i] : ( identity = divide(A,A) ) ),
    inference(quant_intro,[status(thm)],[20]) ).

tff(22,plain,
    ( ! [A: $i] : ( identity = divide(A,A) )
  <=> ! [A: $i] : ( identity = divide(A,A) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(23,axiom,
    ! [A: $i] : ( identity = divide(A,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

tff(24,plain,
    ! [A: $i] : ( identity = divide(A,A) ),
    inference(modus_ponens,[status(thm)],[23,22]) ).

tff(25,plain,
    ! [A: $i] : ( identity = divide(A,A) ),
    inference(skolemize,[status(sab)],[24]) ).

tff(26,plain,
    ! [A: $i] : ( identity = divide(A,A) ),
    inference(modus_ponens,[status(thm)],[25,21]) ).

tff(27,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(identity,b),divide(identity,b)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(28,plain,
    identity = divide(divide(identity,b),divide(identity,b)),
    inference(unit_resolution,[status(thm)],[27,26]) ).

tff(29,plain,
    divide(divide(identity,b),divide(identity,b)) = identity,
    inference(symmetry,[status(thm)],[28]) ).

tff(30,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(b,b) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(31,plain,
    identity = divide(b,b),
    inference(unit_resolution,[status(thm)],[30,26]) ).

tff(32,plain,
    divide(b,b) = identity,
    inference(symmetry,[status(thm)],[31]) ).

tff(33,plain,
    divide(divide(b,b),b) = divide(identity,b),
    inference(monotonicity,[status(thm)],[32]) ).

tff(34,plain,
    divide(divide(divide(b,b),b),divide(identity,b)) = divide(divide(identity,b),divide(identity,b)),
    inference(monotonicity,[status(thm)],[33]) ).

tff(35,plain,
    divide(divide(divide(b,b),b),divide(identity,b)) = identity,
    inference(transitivity,[status(thm)],[34,29]) ).

tff(36,plain,
    divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b)) = divide(identity,divide(b,b)),
    inference(monotonicity,[status(thm)],[35]) ).

tff(37,plain,
    divide(identity,divide(b,b)) = divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b)),
    inference(symmetry,[status(thm)],[36]) ).

tff(38,plain,
    divide(identity,divide(b,b)) = divide(divide(b,b),divide(b,b)),
    inference(monotonicity,[status(thm)],[31]) ).

tff(39,plain,
    divide(divide(b,b),divide(b,b)) = divide(identity,divide(b,b)),
    inference(symmetry,[status(thm)],[38]) ).

tff(40,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(b,b),divide(b,b)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(41,plain,
    identity = divide(divide(b,b),divide(b,b)),
    inference(unit_resolution,[status(thm)],[40,26]) ).

tff(42,plain,
    divide(b,b) = divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b)),
    inference(transitivity,[status(thm)],[32,41,39,37]) ).

tff(43,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
    | ( divide(divide(identity,divide(identity,a)),divide(divide(divide(divide(identity,a),divide(identity,a)),divide(identity,b)),divide(identity,a))) = divide(identity,b) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(44,plain,
    divide(divide(identity,divide(identity,a)),divide(divide(divide(divide(identity,a),divide(identity,a)),divide(identity,b)),divide(identity,a))) = divide(identity,b),
    inference(unit_resolution,[status(thm)],[43,17]) ).

tff(45,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
    | ( divide(divide(identity,divide(b,b)),divide(divide(divide(divide(b,b),divide(b,b)),b),divide(b,b))) = b ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(46,plain,
    divide(divide(identity,divide(b,b)),divide(divide(divide(divide(b,b),divide(b,b)),b),divide(b,b))) = b,
    inference(unit_resolution,[status(thm)],[45,17]) ).

tff(47,plain,
    divide(divide(b,b),divide(b,b)) = identity,
    inference(symmetry,[status(thm)],[41]) ).

tff(48,plain,
    divide(divide(divide(b,b),divide(b,b)),b) = divide(identity,b),
    inference(monotonicity,[status(thm)],[47]) ).

tff(49,plain,
    divide(divide(divide(divide(b,b),divide(b,b)),b),divide(b,b)) = divide(divide(identity,b),divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b))),
    inference(monotonicity,[status(thm)],[48,42]) ).

tff(50,plain,
    divide(divide(identity,b),divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b))) = divide(divide(divide(divide(b,b),divide(b,b)),b),divide(b,b)),
    inference(symmetry,[status(thm)],[49]) ).

tff(51,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
    | ( divide(divide(identity,b),divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b))) = divide(identity,b) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(52,plain,
    divide(divide(identity,b),divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b))) = divide(identity,b),
    inference(unit_resolution,[status(thm)],[51,17]) ).

tff(53,plain,
    divide(identity,b) = divide(divide(identity,b),divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b))),
    inference(symmetry,[status(thm)],[52]) ).

tff(54,plain,
    divide(identity,b) = divide(divide(divide(divide(b,b),divide(b,b)),b),divide(b,b)),
    inference(transitivity,[status(thm)],[53,50]) ).

tff(55,plain,
    identity = divide(identity,divide(b,b)),
    inference(transitivity,[status(thm)],[41,39]) ).

tff(56,plain,
    divide(identity,divide(identity,b)) = divide(divide(identity,divide(b,b)),divide(divide(divide(divide(b,b),divide(b,b)),b),divide(b,b))),
    inference(monotonicity,[status(thm)],[55,54]) ).

tff(57,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
    | ( divide(divide(identity,a),divide(divide(divide(a,a),divide(b,b)),a)) = divide(b,b) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(58,plain,
    divide(divide(identity,a),divide(divide(divide(a,a),divide(b,b)),a)) = divide(b,b),
    inference(unit_resolution,[status(thm)],[57,17]) ).

tff(59,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(a,a) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(60,plain,
    identity = divide(a,a),
    inference(unit_resolution,[status(thm)],[59,26]) ).

tff(61,plain,
    divide(a,a) = identity,
    inference(symmetry,[status(thm)],[60]) ).

tff(62,plain,
    divide(divide(a,a),divide(b,b)) = divide(identity,divide(b,b)),
    inference(monotonicity,[status(thm)],[61]) ).

tff(63,plain,
    divide(divide(a,a),divide(b,b)) = identity,
    inference(transitivity,[status(thm)],[62,38,47]) ).

tff(64,plain,
    divide(divide(divide(a,a),divide(b,b)),a) = divide(identity,a),
    inference(monotonicity,[status(thm)],[63]) ).

tff(65,plain,
    divide(identity,a) = divide(divide(divide(a,a),divide(b,b)),a),
    inference(symmetry,[status(thm)],[64]) ).

tff(66,plain,
    divide(divide(identity,a),divide(identity,a)) = divide(divide(identity,a),divide(divide(divide(a,a),divide(b,b)),a)),
    inference(monotonicity,[status(thm)],[65]) ).

tff(67,plain,
    divide(divide(identity,a),divide(identity,a)) = identity,
    inference(transitivity,[status(thm)],[66,58,32]) ).

tff(68,plain,
    divide(divide(divide(identity,a),divide(identity,a)),divide(identity,b)) = divide(identity,divide(identity,b)),
    inference(monotonicity,[status(thm)],[67]) ).

tff(69,plain,
    divide(divide(divide(identity,a),divide(identity,a)),divide(identity,b)) = b,
    inference(transitivity,[status(thm)],[68,56,46]) ).

tff(70,plain,
    divide(divide(divide(divide(identity,a),divide(identity,a)),divide(identity,b)),divide(identity,a)) = divide(b,divide(identity,a)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(71,plain,
    divide(b,divide(identity,a)) = divide(divide(divide(divide(identity,a),divide(identity,a)),divide(identity,b)),divide(identity,a)),
    inference(symmetry,[status(thm)],[70]) ).

tff(72,plain,
    divide(divide(b,b),divide(identity,a)) = divide(identity,divide(identity,a)),
    inference(monotonicity,[status(thm)],[32]) ).

tff(73,plain,
    divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))) = divide(divide(identity,divide(identity,a)),divide(divide(divide(divide(identity,a),divide(identity,a)),divide(identity,b)),divide(identity,a))),
    inference(monotonicity,[status(thm)],[72,71]) ).

tff(74,plain,
    divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))) = divide(identity,b),
    inference(transitivity,[status(thm)],[73,44]) ).

tff(75,plain,
    divide(divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))),divide(b,b)) = divide(divide(identity,b),divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b))),
    inference(monotonicity,[status(thm)],[74,42]) ).

tff(76,plain,
    divide(divide(identity,b),divide(divide(divide(divide(b,b),b),divide(identity,b)),divide(b,b))) = divide(divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))),divide(b,b)),
    inference(symmetry,[status(thm)],[75]) ).

tff(77,plain,
    divide(identity,b) = divide(divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))),divide(b,b)),
    inference(transitivity,[status(thm)],[53,76]) ).

tff(78,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
    | ( divide(divide(identity,a),divide(divide(divide(divide(b,b),a),divide(identity,a)),divide(b,b))) = divide(identity,a) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(79,plain,
    divide(divide(identity,a),divide(divide(divide(divide(b,b),a),divide(identity,a)),divide(b,b))) = divide(identity,a),
    inference(unit_resolution,[status(thm)],[78,17]) ).

tff(80,plain,
    divide(divide(b,b),a) = divide(identity,a),
    inference(monotonicity,[status(thm)],[32]) ).

tff(81,plain,
    divide(divide(divide(b,b),a),divide(identity,a)) = divide(divide(identity,a),divide(divide(divide(a,a),divide(b,b)),a)),
    inference(monotonicity,[status(thm)],[80,65]) ).

tff(82,plain,
    divide(divide(divide(b,b),a),divide(identity,a)) = identity,
    inference(transitivity,[status(thm)],[81,58,32]) ).

tff(83,plain,
    divide(divide(divide(divide(b,b),a),divide(identity,a)),divide(b,b)) = divide(identity,divide(b,b)),
    inference(monotonicity,[status(thm)],[82]) ).

tff(84,plain,
    divide(identity,divide(b,b)) = divide(divide(divide(divide(b,b),a),divide(identity,a)),divide(b,b)),
    inference(symmetry,[status(thm)],[83]) ).

tff(85,plain,
    divide(b,b) = divide(divide(divide(divide(b,b),a),divide(identity,a)),divide(b,b)),
    inference(transitivity,[status(thm)],[32,41,39,84]) ).

tff(86,plain,
    divide(divide(divide(b,b),divide(b,b)),a) = divide(identity,a),
    inference(monotonicity,[status(thm)],[47]) ).

tff(87,plain,
    divide(divide(divide(divide(b,b),divide(b,b)),a),divide(b,b)) = divide(divide(identity,a),divide(divide(divide(divide(b,b),a),divide(identity,a)),divide(b,b))),
    inference(monotonicity,[status(thm)],[86,85]) ).

tff(88,plain,
    divide(divide(divide(divide(b,b),divide(b,b)),a),divide(b,b)) = divide(identity,a),
    inference(transitivity,[status(thm)],[87,79]) ).

tff(89,plain,
    divide(identity,divide(b,b)) = identity,
    inference(transitivity,[status(thm)],[38,47]) ).

tff(90,plain,
    divide(divide(identity,divide(b,b)),divide(divide(divide(divide(b,b),divide(b,b)),a),divide(b,b))) = divide(identity,divide(identity,a)),
    inference(monotonicity,[status(thm)],[89,88]) ).

tff(91,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C )
    | ( divide(divide(identity,divide(b,b)),divide(divide(divide(divide(b,b),divide(b,b)),a),divide(b,b))) = a ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(92,plain,
    divide(divide(identity,divide(b,b)),divide(divide(divide(divide(b,b),divide(b,b)),a),divide(b,b))) = a,
    inference(unit_resolution,[status(thm)],[91,17]) ).

tff(93,plain,
    a = divide(divide(identity,divide(b,b)),divide(divide(divide(divide(b,b),divide(b,b)),a),divide(b,b))),
    inference(symmetry,[status(thm)],[92]) ).

tff(94,plain,
    a = divide(identity,divide(identity,a)),
    inference(transitivity,[status(thm)],[93,90]) ).

tff(95,plain,
    divide(a,divide(identity,b)) = divide(divide(identity,divide(identity,a)),divide(divide(divide(divide(b,b),divide(identity,a)),divide(b,divide(identity,a))),divide(b,b))),
    inference(monotonicity,[status(thm)],[94,77]) ).

tff(96,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(a,b) = divide(a,divide(identity,b)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(97,plain,
    multiply(a,b) = divide(a,divide(identity,b)),
    inference(unit_resolution,[status(thm)],[96,7]) ).

tff(98,plain,
    multiply(a,b) = multiply(b,a),
    inference(transitivity,[status(thm)],[97,95,19,10]) ).

tff(99,plain,
    ( ( multiply(a,b) != multiply(b,a) )
  <=> ( multiply(a,b) != multiply(b,a) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(100,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

tff(101,plain,
    multiply(a,b) != multiply(b,a),
    inference(modus_ponens,[status(thm)],[100,99]) ).

tff(102,plain,
    $false,
    inference(unit_resolution,[status(thm)],[101,98]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP552-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 31 17:32:12 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35  Usage: tptp [options] [-file:]file
% 0.12/0.35    -h, -?       prints this message.
% 0.12/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.35    -m, -model   generate model.
% 0.12/0.35    -p, -proof   generate proof.
% 0.12/0.35    -c, -core    generate unsat core of named formulas.
% 0.12/0.35    -st, -statistics display statistics.
% 0.12/0.35    -t:timeout   set timeout (in second).
% 0.12/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35    -<param>:<value> configuration parameter and value.
% 0.12/0.35    -o:<output-file> file to place output in.
% 0.20/0.45  % SZS status Unsatisfiable
% 0.20/0.45  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------